TSTP Solution File: SWW323+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW323+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 : n005.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 14:40:23 EDT 2024
% Result : Theorem 12.17s 12.36s
% Output : Proof 12.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW323+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 : n005.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 01:50:15 EDT 2024
% 0.13/0.34 % CPUTime :
% 12.17/12.36 % SZS status Theorem for theBenchmark
% 12.17/12.36 % SZS output start Proof for theBenchmark
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ext ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_empty ( axiom ) converted to clauses:
% 12.17/12.36 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))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 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))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_triple_Oinject ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_triple_Oinject-1, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u16), _u18), _u20) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u22), _u24), _u26)) | ( _u16 = _u22) )).
% 12.17/12.36 cnf(fact_triple_Oinject-2, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u16), _u18), _u20) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u22), _u24), _u26)) | ( _u18 = _u24) )).
% 12.17/12.36 cnf(fact_triple_Oinject-3, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u16), _u18), _u20) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u22), _u24), _u26)) | ( _u20 = _u26) )).
% 12.17/12.36 cnf(fact_triple_Oinject-4, axiom, ( ( _u17 != _u23) | ( _u19 != _u25) | ( _u21 != _u27) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u17), _u19), _u21) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u23), _u25), _u27)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_cut ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_cut-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u28, _u29, _u30) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u28, _u31, _u29) | c_Hoare__Mirabelle_Ohoare__derivs(_u28, _u31, _u30) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_hoare__derivs_Oinsert-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u32, _u33, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u32)), _u34), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u32), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u32, _u33, _u35) | c_Hoare__Mirabelle_Ohoare__derivs(_u32, _u33, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u32)), _u34), _u35)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_derivs__insertD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_derivs__insertD-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u36), tc_HOL_Obool)))) )).
% 12.17/12.36 cnf(fact_derivs__insertD-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, _u39) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u40), _u41)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u42), hAPP(c_Set_Oimage(_u40, _u42, _u43), _u41))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u44), _u45)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u44), hAPP(hAPP(c_Set_Oinsert(_u44), _u46), _u45))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u47), c_Orderings_Obot__class_Obot(tc_fun(_u47, tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_image__eqI-1, axiom, ( ( _u48 != hAPP(_u49, _u50)) | ~hBOOL(hAPP(hAPP(c_member(_u51), _u50), _u52)) | hBOOL(hAPP(hAPP(c_member(_u53), _u48), hAPP(c_Set_Oimage(_u51, _u53, _u49), _u52))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insertE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u54), _u55), hAPP(hAPP(c_Set_Oinsert(_u54), _u56), _u57))) | ( _u55 = _u56) | hBOOL(hAPP(hAPP(c_member(_u54), _u55), _u57)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u58), _u59), hAPP(hAPP(c_Set_Oinsert(_u58), _u61), _u60))) | ~hBOOL(hAPP(hAPP(c_member(_u58), _u59), _u60)) )).
% 12.17/12.36 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u58), _u59), hAPP(hAPP(c_Set_Oinsert(_u58), _u61), _u60))) | ( _u59 != _u61) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u62), _u63), c_Orderings_Obot__class_Obot(tc_fun(_u62, tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u64), _u65), _u66)) | ( hAPP(c_Set_Oimage(_u64, _u67, hAPP(c_COMBK(_u67, _u64), _u68)), _u66) = hAPP(hAPP(c_Set_Oinsert(_u67), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u67, tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_image__constant__conv-1, axiom, ( ( _u73 != c_Orderings_Obot__class_Obot(tc_fun(_u75, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u75, _u77, hAPP(c_COMBK(_u77, _u75), _u79)), _u73) = c_Orderings_Obot__class_Obot(tc_fun(_u77, tc_HOL_Obool))) )).
% 12.17/12.36 cnf(fact_image__constant__conv-2, axiom, ( ( _u74 = c_Orderings_Obot__class_Obot(tc_fun(_u76, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u76, _u78, hAPP(c_COMBK(_u78, _u76), _u80)), _u74) = hAPP(hAPP(c_Set_Oinsert(_u78), _u80), c_Orderings_Obot__class_Obot(tc_fun(_u78, tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u81), _u82), _u83)) | ( hAPP(hAPP(c_Set_Oinsert(_u84), hAPP(_u85, _u82)), hAPP(c_Set_Oimage(_u81, _u84, _u85), _u83)) = hAPP(c_Set_Oimage(_u81, _u84, _u85), _u83)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_singleton__iff-1, axiom, ( ( _u91 = _u93) | ~hBOOL(hAPP(hAPP(c_member(_u89), _u91), hAPP(hAPP(c_Set_Oinsert(_u89), _u93), c_Orderings_Obot__class_Obot(tc_fun(_u89, tc_HOL_Obool))))) )).
% 12.17/12.36 cnf(fact_singleton__iff-2, axiom, ( ( _u92 != _u94) | hBOOL(hAPP(hAPP(c_member(_u90), _u92), hAPP(hAPP(c_Set_Oinsert(_u90), _u94), c_Orderings_Obot__class_Obot(tc_fun(_u90, tc_HOL_Obool))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_singletonE-1, axiom, ( ( _u96 = _u97) | ~hBOOL(hAPP(hAPP(c_member(_u95), _u96), hAPP(hAPP(c_Set_Oinsert(_u95), _u97), c_Orderings_Obot__class_Obot(tc_fun(_u95, tc_HOL_Obool))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_equalityCE-1, axiom, ( ( _u98 != _u99) | hBOOL(hAPP(hAPP(c_member(_u100), _u101), _u98)) | ~hBOOL(hAPP(hAPP(c_member(_u100), _u101), _u99)) )).
% 12.17/12.36 cnf(fact_equalityCE-2, axiom, ( ( _u98 != _u99) | hBOOL(hAPP(hAPP(c_member(_u100), _u101), _u99)) | ~hBOOL(hAPP(hAPP(c_member(_u100), _u101), _u98)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_eq__mem__trans-1, axiom, ( ( _u102 != _u103) | ~hBOOL(hAPP(hAPP(c_member(_u104), _u103), _u105)) | hBOOL(hAPP(hAPP(c_member(_u104), _u102), _u105)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u106 != _u107) | ~hBOOL(hAPP(hAPP(c_member(_u108), _u106), _u109)) | hBOOL(hAPP(hAPP(c_member(_u108), _u107), _u109)) )).
% 12.17/12.36 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u106 != _u107) | ~hBOOL(hAPP(hAPP(c_member(_u108), _u107), _u109)) | hBOOL(hAPP(hAPP(c_member(_u108), _u106), _u109)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u110 != _u111) | ~hBOOL(hAPP(hAPP(c_member(_u112), _u113), _u110)) | hBOOL(hAPP(hAPP(c_member(_u112), _u113), _u111)) )).
% 12.17/12.36 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u110 != _u111) | ~hBOOL(hAPP(hAPP(c_member(_u112), _u113), _u111)) | hBOOL(hAPP(hAPP(c_member(_u112), _u113), _u110)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u121, _u119)) | ~hBOOL(hAPP(hAPP(c_member(_u117), _u119), _u121)) )).
% 12.17/12.36 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u122, _u120)) | hBOOL(hAPP(hAPP(c_member(_u118), _u120), _u122)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u123) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u123), _u124)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u125) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u125), _u126)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__code-1, axiom, ( ( _u133 = _u137) | hBOOL(hAPP(_u135, _u137)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u131), _u133), _u135), _u137)) )).
% 12.17/12.36 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u132), _u134), _u136), _u138)) | ( _u134 != _u138) )).
% 12.17/12.36 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u132), _u134), _u136), _u138)) | ~hBOOL(hAPP(_u136, _u138)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u139), _u140), hAPP(hAPP(c_Set_Oinsert(_u139), _u141), _u142)) = hAPP(hAPP(c_Set_Oinsert(_u139), _u141), hAPP(hAPP(c_Set_Oinsert(_u139), _u140), _u142))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u143), _u144), hAPP(hAPP(c_Set_Oinsert(_u143), _u144), _u145)) = hAPP(hAPP(c_Set_Oinsert(_u143), _u144), _u145)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_image__image ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u146, _u147, _u148), hAPP(c_Set_Oimage(_u149, _u146, _u150), _u151)) = hAPP(c_Set_Oimage(_u149, _u147, hAPP(hAPP(c_COMBB(_u146, _u147, _u149), _u148), _u150)), _u151)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_equals0D-1, axiom, ( ( _u152 != c_Orderings_Obot__class_Obot(tc_fun(_u153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u153), _u154), _u152)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u155), _u156), c_Orderings_Obot__class_Obot(tc_fun(_u155, tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u161), _u157), _u163)) | ( _u163 != c_Orderings_Obot__class_Obot(tc_fun(_u161, tc_HOL_Obool))) )).
% 12.17/12.36 cnf(fact_ex__in__conv-2, axiom, ( ( _u164 = c_Orderings_Obot__class_Obot(tc_fun(_u162, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u162), skolem2(_u164, _u162)), _u164)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u169), skolem3(_u171, _u169)), _u171)) | ( _u171 = c_Orderings_Obot__class_Obot(tc_fun(_u169, tc_HOL_Obool))) )).
% 12.17/12.36 cnf(fact_all__not__in__conv-2, axiom, ( ( _u172 != c_Orderings_Obot__class_Obot(tc_fun(_u170, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u170), _u166), _u172)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u173), _u174), _u175)) | ( hAPP(hAPP(c_Set_Oinsert(_u173), _u174), _u175) = _u175) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u176), _u177), _u178)) | hBOOL(hAPP(hAPP(c_member(_u176), _u177), hAPP(hAPP(c_Set_Oinsert(_u176), _u179), _u178))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u180), _u181), _u182)) | hBOOL(hAPP(hAPP(c_member(_u180), _u181), _u183)) | ( hAPP(hAPP(c_Set_Oinsert(_u180), _u181), _u182) != hAPP(hAPP(c_Set_Oinsert(_u180), _u181), _u183)) | ( _u182 = _u183) )).
% 12.17/12.36 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u180), _u181), _u182)) | hBOOL(hAPP(hAPP(c_member(_u180), _u181), _u183)) | ( _u182 != _u183) | ( hAPP(hAPP(c_Set_Oinsert(_u180), _u181), _u182) = hAPP(hAPP(c_Set_Oinsert(_u180), _u181), _u183)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u188), _u190), hAPP(hAPP(c_Set_Oinsert(_u188), _u192), _u194))) | ( _u190 = _u192) | hBOOL(hAPP(hAPP(c_member(_u188), _u190), _u194)) )).
% 12.17/12.36 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u189), _u191), hAPP(hAPP(c_Set_Oinsert(_u189), _u193), _u195))) | ( _u191 != _u193) )).
% 12.17/12.36 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u189), _u191), hAPP(hAPP(c_Set_Oinsert(_u189), _u193), _u195))) | ~hBOOL(hAPP(hAPP(c_member(_u189), _u191), _u195)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u196), _u197), hAPP(hAPP(c_Set_Oinsert(_u196), _u197), _u198))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u199), _u200), _u201)) | ( _u202 != hAPP(_u203, _u200)) | hBOOL(hAPP(hAPP(c_member(_u204), _u202), hAPP(c_Set_Oimage(_u199, _u204, _u203), _u201))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_imageI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u205), _u206), _u207)) | hBOOL(hAPP(hAPP(c_member(_u208), hAPP(_u209, _u206)), hAPP(c_Set_Oimage(_u205, _u208, _u209), _u207))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u217), _u219), hAPP(c_Set_Oimage(_u221, _u217, _u223), _u225))) | hBOOL(hAPP(hAPP(c_member(_u221), skolem4(_u225, _u223, _u221, _u219)), _u225)) )).
% 12.17/12.36 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u217), _u219), hAPP(c_Set_Oimage(_u221, _u217, _u223), _u225))) | ( _u219 = hAPP(_u223, skolem4(_u225, _u223, _u221, _u219))) )).
% 12.17/12.36 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u222), _u211), _u226)) | ( _u220 != hAPP(_u224, _u211)) | hBOOL(hAPP(hAPP(c_member(_u218), _u220), hAPP(c_Set_Oimage(_u222, _u218, _u224), _u226))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u227), c_Orderings_Obot__class_Obot(tc_fun(_u227, tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_singleton__inject-1, axiom, ( ( _u229 = _u230) | ( hAPP(hAPP(c_Set_Oinsert(_u228), _u229), c_Orderings_Obot__class_Obot(tc_fun(_u228, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u228), _u230), c_Orderings_Obot__class_Obot(tc_fun(_u228, tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u236), _u238), hAPP(hAPP(c_Set_Oinsert(_u236), _u240), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u236), _u242), hAPP(hAPP(c_Set_Oinsert(_u236), _u244), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool))))) | ( _u238 = _u242) | ( _u238 = _u244) )).
% 12.17/12.36 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u236), _u238), hAPP(hAPP(c_Set_Oinsert(_u236), _u240), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u236), _u242), hAPP(hAPP(c_Set_Oinsert(_u236), _u244), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool))))) | ( _u238 = _u242) | ( _u240 = _u242) )).
% 12.17/12.36 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u236), _u238), hAPP(hAPP(c_Set_Oinsert(_u236), _u240), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u236), _u242), hAPP(hAPP(c_Set_Oinsert(_u236), _u244), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool))))) | ( _u240 = _u244) | ( _u238 = _u244) )).
% 12.17/12.36 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u236), _u238), hAPP(hAPP(c_Set_Oinsert(_u236), _u240), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u236), _u242), hAPP(hAPP(c_Set_Oinsert(_u236), _u244), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool))))) | ( _u240 = _u244) | ( _u240 = _u242) )).
% 12.17/12.36 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u237), _u239), hAPP(hAPP(c_Set_Oinsert(_u237), _u241), c_Orderings_Obot__class_Obot(tc_fun(_u237, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u237), _u243), hAPP(hAPP(c_Set_Oinsert(_u237), _u245), c_Orderings_Obot__class_Obot(tc_fun(_u237, tc_HOL_Obool))))) | ( _u239 != _u243) | ( _u241 != _u245) )).
% 12.17/12.36 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u237), _u239), hAPP(hAPP(c_Set_Oinsert(_u237), _u241), c_Orderings_Obot__class_Obot(tc_fun(_u237, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u237), _u243), hAPP(hAPP(c_Set_Oinsert(_u237), _u245), c_Orderings_Obot__class_Obot(tc_fun(_u237, tc_HOL_Obool))))) | ( _u239 != _u245) | ( _u241 != _u243) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u246), _u247), _u248) != c_Orderings_Obot__class_Obot(tc_fun(_u246, tc_HOL_Obool))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u249, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u249), _u250), _u251)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u255), hAPP(hAPP(c_Set_Oinsert(_u255), _u257), _u259))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u255), _u259)) )).
% 12.17/12.36 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u256), _u260)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u256), hAPP(hAPP(c_Set_Oinsert(_u256), _u258), _u260))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u265, _u267, _u269), _u271) != c_Orderings_Obot__class_Obot(tc_fun(_u267, tc_HOL_Obool))) | ( _u271 = c_Orderings_Obot__class_Obot(tc_fun(_u265, tc_HOL_Obool))) )).
% 12.17/12.36 cnf(fact_image__is__empty-2, axiom, ( ( _u272 != c_Orderings_Obot__class_Obot(tc_fun(_u266, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u266, _u268, _u270), _u272) = c_Orderings_Obot__class_Obot(tc_fun(_u268, tc_HOL_Obool))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u273, _u274, _u275), c_Orderings_Obot__class_Obot(tc_fun(_u273, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u274, tc_HOL_Obool))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_empty__is__image-1, axiom, ( ( _u286 = c_Orderings_Obot__class_Obot(tc_fun(_u282, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u280, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u282, _u280, _u284), _u286)) )).
% 12.17/12.36 cnf(fact_empty__is__image-2, axiom, ( ( _u287 != c_Orderings_Obot__class_Obot(tc_fun(_u283, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u281, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u283, _u281, _u285), _u287)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u288, _u289, _u290), hAPP(hAPP(c_Set_Oinsert(_u288), _u291), _u292)) = hAPP(hAPP(c_Set_Oinsert(_u289), hAPP(_u290, _u291)), hAPP(c_Set_Oimage(_u288, _u289, _u290), _u292))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u293, hAPP(hAPP(c_Set_Oinsert(_u293), _u294), c_Orderings_Obot__class_Obot(tc_fun(_u293, tc_HOL_Obool)))) = _u294) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u295) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u296, _u295)), _u297) = c_Orderings_Obot__class_Obot(_u295)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u300, tc_HOL_Obool)), _u302)) | hBOOL(hAPP(hAPP(c_member(_u300), _u302), c_Orderings_Obot__class_Obot(tc_fun(_u300, tc_HOL_Obool)))) )).
% 12.17/12.36 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u301), _u303), c_Orderings_Obot__class_Obot(tc_fun(_u301, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u301, tc_HOL_Obool)), _u303)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_triple_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_triple_Osimps_I2_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u304, _u305, _u306, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u304), _u307), _u308), _u309)) = hAPP(hAPP(hAPP(_u306, _u307), _u308), _u309)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_triple_Orecs ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_triple_Orecs-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u310, _u311, _u312, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u310), _u313), _u314), _u315)) = hAPP(hAPP(hAPP(_u312, _u313), _u314), _u315)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u316, _u317, _u318) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u316), _u319)) | hBOOL(hAPP(hAPP(c_member(_u316), _u320), _u319)) | ( _u319 = c_Orderings_Obot__class_Obot(tc_fun(_u316, tc_HOL_Obool))) | ( hAPP(_u318, hAPP(hAPP(c_Set_Oinsert(_u316), _u320), _u319)) = hAPP(hAPP(_u317, _u320), hAPP(_u318, _u319))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u321) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u322, _u321)), _u323) = c_Orderings_Obot__class_Obot(_u321)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_escape ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_escape-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u327, _u328, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u327)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u327), _u326), _u329), _u330)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u327), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u326, skolem5(_u330, _u329, _u328, _u327, _u326)), skolem6(_u330, _u329, _u328, _u327, _u326))) )).
% 12.17/12.36 cnf(fact_escape-2, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u327, _u328, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u327)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u327), _u326), _u329), _u330)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u327), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u327, _u328, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u327)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u327), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u327), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem6(_u330, _u329, _u328, _u327, _u326)))), _u329), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u327), hAPP(_u330, skolem5(_u330, _u329, _u328, _u327, _u326))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u327), tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u331, _u332, _u333) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u331), _u334)) | ( _u334 = c_Orderings_Obot__class_Obot(tc_fun(_u331, tc_HOL_Obool))) | ( hAPP(_u333, hAPP(hAPP(c_Set_Oinsert(_u331), _u335), _u334)) = hAPP(hAPP(_u332, _u335), hAPP(_u333, _u334))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_hoare__derivs_Oequations_I7_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_hoare__derivs_Oequations_I7_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u336, _u337, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u336)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u336), _u338), c_Com_Ocom_OSKIP), _u338)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u336), tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_hoare__derivs_OSkip ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_hoare__derivs_OSkip-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u339, _u340, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u339)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u339), _u341), c_Com_Ocom_OSKIP), _u341)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u339), tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_conseq1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_conseq1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u344, _u345, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u344)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u344), _u346), _u347), _u348)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u344), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u344, _u345, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u344)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u344), _u349), _u347), _u348)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u344), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u349, skolem7(_u349, _u348, _u347, _u346, _u345, _u344)), skolem8(_u349, _u348, _u347, _u346, _u345, _u344))) )).
% 12.17/12.36 cnf(fact_conseq1-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u344, _u345, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u344)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u344), _u346), _u347), _u348)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u344), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u344, _u345, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u344)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u344), _u349), _u347), _u348)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u344), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u346, skolem7(_u349, _u348, _u347, _u346, _u345, _u344)), skolem8(_u349, _u348, _u347, _u346, _u345, _u344))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u351, _u353), _u353) = _u353) | ~c_Finite__Set_Ofolding__one__idem(_u350, _u351, _u352) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_eq__mem-1, axiom, ( ( _u359 = _u361) | ~hBOOL(hAPP(hAPP(c_member(_u357), _u359), hAPP(c_fequal, _u361))) )).
% 12.17/12.36 cnf(fact_eq__mem-2, axiom, ( ( _u360 != _u362) | hBOOL(hAPP(hAPP(c_member(_u358), _u360), hAPP(c_fequal, _u362))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u363, _u364, _u365) | ( hAPP(_u365, hAPP(hAPP(c_Set_Oinsert(_u363), _u366), c_Orderings_Obot__class_Obot(tc_fun(_u363, tc_HOL_Obool)))) = _u366) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u367, _u368, _u369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u367), _u370)) | ~hBOOL(hAPP(hAPP(c_member(_u367), _u371), _u370)) | ( hAPP(hAPP(_u368, _u371), hAPP(_u369, _u370)) = hAPP(_u369, _u370)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_pred__equals__eq-1, axiom, ( ( _u377 = _u379) | ( hAPP(hAPP(c_COMBC(_u375, tc_fun(_u375, tc_HOL_Obool), tc_HOL_Obool), c_member(_u375)), _u377) != hAPP(hAPP(c_COMBC(_u375, tc_fun(_u375, tc_HOL_Obool), tc_HOL_Obool), c_member(_u375)), _u379)) )).
% 12.17/12.36 cnf(fact_pred__equals__eq-2, axiom, ( ( _u378 != _u380) | ( hAPP(hAPP(c_COMBC(_u376, tc_fun(_u376, tc_HOL_Obool), tc_HOL_Obool), c_member(_u376)), _u378) = hAPP(hAPP(c_COMBC(_u376, tc_fun(_u376, tc_HOL_Obool), tc_HOL_Obool), c_member(_u376)), _u380)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u383, _u384, _u385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u383), _u386)) | ( _u386 = c_Orderings_Obot__class_Obot(tc_fun(_u383, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u383), hAPP(hAPP(_u384, skolem9(_u386, _u385, _u384, _u383)), skolem10(_u386, _u385, _u384, _u383))), hAPP(hAPP(c_Set_Oinsert(_u383), skolem9(_u386, _u385, _u384, _u383)), hAPP(hAPP(c_Set_Oinsert(_u383), skolem10(_u386, _u385, _u384, _u383)), c_Orderings_Obot__class_Obot(tc_fun(_u383, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u383), hAPP(_u385, _u386)), _u386)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_conseq2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_conseq2-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u389, _u390, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u389)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u389), _u391), _u392), _u393)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u389), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u389, _u390, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u389)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u389), _u391), _u392), _u394)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u389), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u393, skolem11(_u394, _u393, _u392, _u391, _u390, _u389)), skolem12(_u394, _u393, _u392, _u391, _u390, _u389))) )).
% 12.17/12.36 cnf(fact_conseq2-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u389, _u390, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u389)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u389), _u391), _u392), _u393)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u389), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u389, _u390, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u389)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u389), _u391), _u392), _u394)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u389), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u394, skolem11(_u394, _u393, _u392, _u391, _u390, _u389)), skolem12(_u394, _u393, _u392, _u391, _u390, _u389))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Comp ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Comp-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u395, _u396, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u395)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u395), _u397), _u398), _u399)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u395), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u395, _u396, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u395)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u395), _u399), _u400), _u401)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u395), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u395, _u396, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u395)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u395), _u397), c_Com_Ocom_OSemi(_u398, _u400)), _u401)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u395), tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u402, _u403) = c_HOL_OThe(_u402, hAPP(hAPP(c_COMBB(tc_fun(_u402, tc_HOL_Obool), tc_HOL_Obool, _u402), hAPP(c_fequal, _u403)), hAPP(hAPP(c_COMBC(_u402, tc_fun(_u402, tc_HOL_Obool), tc_fun(_u402, tc_HOL_Obool)), c_Set_Oinsert(_u402)), c_Orderings_Obot__class_Obot(tc_fun(_u402, tc_HOL_Obool)))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_LoopF ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_LoopF-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u404, _u405, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u404)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u404), hAPP(hAPP(c_COMBC(_u404, tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u404), c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u404), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u406))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u407))), c_Com_Ocom_OWhile(_u407, _u408)), _u406)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u404), tc_HOL_Obool)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u411, _u412, _u413) | ( hAPP(_u414, hAPP(hAPP(_u412, skolem13(_u415, _u414, _u413, _u412, _u411)), skolem14(_u415, _u414, _u413, _u412, _u411))) != hAPP(hAPP(_u412, hAPP(_u414, skolem13(_u415, _u414, _u413, _u412, _u411))), hAPP(_u414, skolem14(_u415, _u414, _u413, _u412, _u411)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u411), _u415)) | ( _u415 = c_Orderings_Obot__class_Obot(tc_fun(_u411, tc_HOL_Obool))) | ( hAPP(_u414, hAPP(_u413, _u415)) = hAPP(_u413, hAPP(c_Set_Oimage(_u411, _u411, _u414), _u415))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u417), _u422)) | hBOOL(hAPP(hAPP(c_member(_u417), _u423), _u422)) | ( hAPP(_u421, hAPP(hAPP(c_Set_Oinsert(_u417), _u423), _u422)) = hAPP(hAPP(_u418, hAPP(_u420, _u423)), hAPP(_u421, _u422))) | ~c_Finite__Set_Ofolding__image__simple(_u416, _u417, _u418, _u419, _u420, _u421) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u424, _u425, _u426) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u424), _u427)) | ~hBOOL(hAPP(hAPP(c_member(_u424), _u428), _u427)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u424, tc_HOL_Obool)), _u427), hAPP(hAPP(c_Set_Oinsert(_u424), _u428), c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool))) | ( hAPP(_u426, _u427) = _u428) )).
% 12.17/12.36 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u424, _u425, _u426) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u424), _u427)) | ~hBOOL(hAPP(hAPP(c_member(_u424), _u428), _u427)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u424, tc_HOL_Obool)), _u427), hAPP(hAPP(c_Set_Oinsert(_u424), _u428), c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool))) | ( hAPP(_u426, _u427) = hAPP(hAPP(_u425, _u428), hAPP(_u426, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u424, tc_HOL_Obool)), _u427), hAPP(hAPP(c_Set_Oinsert(_u424), _u428), c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool))))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u430), _u435)) | ( hAPP(_u434, hAPP(hAPP(c_Set_Oinsert(_u430), _u436), _u435)) = hAPP(hAPP(_u431, hAPP(_u433, _u436)), hAPP(_u434, _u435))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u429, _u430, _u431, _u432, _u433, _u434) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite__induct ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), _u440)) | ~hBOOL(hAPP(_u441, c_Orderings_Obot__class_Obot(tc_fun(_u439, tc_HOL_Obool)))) | hBOOL(hAPP(_u441, _u440)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), skolem16(_u441, _u440, _u439))) )).
% 12.17/12.36 cnf(fact_finite__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), _u440)) | ~hBOOL(hAPP(_u441, c_Orderings_Obot__class_Obot(tc_fun(_u439, tc_HOL_Obool)))) | hBOOL(hAPP(_u441, _u440)) | ~hBOOL(hAPP(hAPP(c_member(_u439), skolem15(_u441, _u440, _u439)), skolem16(_u441, _u440, _u439))) )).
% 12.17/12.36 cnf(fact_finite__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), _u440)) | ~hBOOL(hAPP(_u441, c_Orderings_Obot__class_Obot(tc_fun(_u439, tc_HOL_Obool)))) | hBOOL(hAPP(_u441, _u440)) | hBOOL(hAPP(_u441, skolem16(_u441, _u440, _u439))) )).
% 12.17/12.36 cnf(fact_finite__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), _u440)) | ~hBOOL(hAPP(_u441, c_Orderings_Obot__class_Obot(tc_fun(_u439, tc_HOL_Obool)))) | hBOOL(hAPP(_u441, _u440)) | ~hBOOL(hAPP(_u441, hAPP(hAPP(c_Set_Oinsert(_u439), skolem15(_u441, _u440, _u439)), skolem16(_u441, _u440, _u439)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u443), _u448)) | ~hBOOL(hAPP(hAPP(c_member(_u443), _u449), _u448)) | ( hAPP(hAPP(_u444, hAPP(_u446, _u449)), hAPP(_u447, _u448)) = hAPP(_u447, _u448)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u442, _u443, _u444, _u445, _u446, _u447) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u450, _u450, c_COMBI(_u450)), _u451) = _u451) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u452, tc_HOL_Obool)), _u454), _u455))) | hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u454)) )).
% 12.17/12.36 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u452, tc_HOL_Obool)), _u454), _u455))) | ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u455)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u456), _u457), _u458)) | hBOOL(hAPP(hAPP(c_member(_u456), _u457), _u459)) | hBOOL(hAPP(hAPP(c_member(_u456), _u457), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u456, tc_HOL_Obool)), _u458), _u459))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u460), _u461)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u460), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u460, tc_HOL_Obool)), _u461), _u462))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u463, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u463, tc_HOL_Obool)), _u464), _u465)), _u465) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u463, tc_HOL_Obool)), _u464), _u465)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u468, _u472), _u472) = _u472) | ~c_Finite__Set_Ofolding__image__simple__idem(_u466, _u467, _u468, _u469, _u470, _u471) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u473), _u474), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u473, tc_HOL_Obool)), _u475), _u476))) | ~hBOOL(hAPP(hAPP(c_member(_u473), _u474), _u476)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u477), _u478), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u477, tc_HOL_Obool)), _u479), _u480))) | hBOOL(hAPP(hAPP(c_member(_u477), _u478), _u479)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u485), _u487), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u485, tc_HOL_Obool)), _u489), _u491))) | hBOOL(hAPP(hAPP(c_member(_u485), _u487), _u489)) )).
% 12.17/12.36 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u485), _u487), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u485, tc_HOL_Obool)), _u489), _u491))) | ~hBOOL(hAPP(hAPP(c_member(_u485), _u487), _u491)) )).
% 12.17/12.36 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u486), _u488), _u490)) | hBOOL(hAPP(hAPP(c_member(_u486), _u488), _u492)) | hBOOL(hAPP(hAPP(c_member(_u486), _u488), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u486, tc_HOL_Obool)), _u490), _u492))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u493, tc_HOL_Obool)), _u494), _u494) = c_Orderings_Obot__class_Obot(tc_fun(_u493, tc_HOL_Obool))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u495, tc_HOL_Obool)), _u496), c_Orderings_Obot__class_Obot(tc_fun(_u495, tc_HOL_Obool))) = _u496) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u497, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u497, tc_HOL_Obool))), _u498) = c_Orderings_Obot__class_Obot(tc_fun(_u497, tc_HOL_Obool))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), _u500)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u499, tc_HOL_Obool)), _u501), _u500))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), _u501)) )).
% 12.17/12.36 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), _u500)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), _u501)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u499, tc_HOL_Obool)), _u501), _u500))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u503), _u508)) | ( hAPP(_u507, hAPP(hAPP(c_Set_Oinsert(_u503), _u509), _u508)) = hAPP(hAPP(_u504, hAPP(_u506, _u509)), hAPP(_u507, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u503, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u503), _u509), c_Orderings_Obot__class_Obot(tc_fun(_u503, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u502, _u503, _u504, _u505, _u506, _u507) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u510), _u511), _u512)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u510, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u510), _u511), _u513)), _u512) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u510, tc_HOL_Obool)), _u513), _u512)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u518), _u520), _u522)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u518, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u518), _u520), _u524)), _u522) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u518, tc_HOL_Obool)), _u524), _u522)) )).
% 12.17/12.36 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u519), _u521), _u523)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u519, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u519), _u521), _u525)), _u523) = hAPP(hAPP(c_Set_Oinsert(_u519), _u521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u519, tc_HOL_Obool)), _u525), _u523))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u526), _u527), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u526, tc_HOL_Obool)), _u528), hAPP(hAPP(c_Set_Oinsert(_u526), _u527), c_Orderings_Obot__class_Obot(tc_fun(_u526, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u526), _u527), _u528)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u529, tc_HOL_Obool)), _u530), hAPP(hAPP(c_Set_Oinsert(_u529), _u531), _u532)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u529, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u529, tc_HOL_Obool)), _u530), hAPP(hAPP(c_Set_Oinsert(_u529), _u531), c_Orderings_Obot__class_Obot(tc_fun(_u529, tc_HOL_Obool))))), _u532)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u533, tc_HOL_Obool)), _u534), hAPP(hAPP(c_Set_Oinsert(_u533), _u535), _u536)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u533, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u533, tc_HOL_Obool)), _u534), _u536)), hAPP(hAPP(c_Set_Oinsert(_u533), _u535), c_Orderings_Obot__class_Obot(tc_fun(_u533, tc_HOL_Obool))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u541, tc_HOL_Obool)), _u543), hAPP(hAPP(c_Set_Oinsert(_u541), _u545), _u547)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u541, tc_HOL_Obool)), _u543), _u547))) )).
% 12.17/12.36 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u542), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u542, tc_HOL_Obool)), _u544), _u548))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u542), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u542, tc_HOL_Obool)), _u544), hAPP(hAPP(c_Set_Oinsert(_u542), _u546), _u548)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u554, c_Orderings_Obot__class_Obot(tc_fun(_u550, tc_HOL_Obool))) = _u552) | ~c_Finite__Set_Ofolding__image__simple(_u549, _u550, _u551, _u552, _u553, _u554) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u556), _u561)) | ~hBOOL(hAPP(hAPP(c_member(_u556), _u562), _u561)) | ( hAPP(_u560, _u561) = hAPP(hAPP(_u557, hAPP(_u559, _u562)), hAPP(_u560, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u556, tc_HOL_Obool)), _u561), hAPP(hAPP(c_Set_Oinsert(_u556), _u562), c_Orderings_Obot__class_Obot(tc_fun(_u556, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u555, _u556, _u557, _u558, _u559, _u560) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u563), _u564), _u565)) | ( hAPP(hAPP(c_Set_Oinsert(_u563), _u564), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u563, tc_HOL_Obool)), _u565), hAPP(hAPP(c_Set_Oinsert(_u563), _u564), c_Orderings_Obot__class_Obot(tc_fun(_u563, tc_HOL_Obool))))) = _u565) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u566), _u567), _u568)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u566, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u566), _u567), _u568)), hAPP(hAPP(c_Set_Oinsert(_u566), _u567), c_Orderings_Obot__class_Obot(tc_fun(_u566, tc_HOL_Obool)))) = _u568) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u569, _u570, _u571) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u569), _u572)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u569, tc_HOL_Obool)), _u572), hAPP(hAPP(c_Set_Oinsert(_u569), _u573), c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool))) | ( hAPP(_u571, hAPP(hAPP(c_Set_Oinsert(_u569), _u573), _u572)) = _u573) )).
% 12.17/12.36 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u569, _u570, _u571) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u569), _u572)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u569, tc_HOL_Obool)), _u572), hAPP(hAPP(c_Set_Oinsert(_u569), _u573), c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool))) | ( hAPP(_u571, hAPP(hAPP(c_Set_Oinsert(_u569), _u573), _u572)) = hAPP(hAPP(_u570, _u573), hAPP(_u571, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u569, tc_HOL_Obool)), _u572), hAPP(hAPP(c_Set_Oinsert(_u569), _u573), c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool))))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u574) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u575, _u574)), _u576), _u577), _u578) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u574), hAPP(_u576, _u578)), hAPP(_u577, _u578))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_com_Osimps_I12_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_com_Osimps_I12_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u579, _u580)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_com_Osimps_I13_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_com_Osimps_I13_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u581, _u582) != c_Com_Ocom_OSKIP) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_com_Osimps_I16_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_com_Osimps_I16_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u583, _u584)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_com_Osimps_I17_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_com_Osimps_I17_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u585, _u586) != c_Com_Ocom_OSKIP) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_com_Osimps_I46_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_com_Osimps_I46_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u587, _u588) != c_Com_Ocom_OWhile(_u589, _u590)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_com_Osimps_I47_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_com_Osimps_I47_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u591, _u592) != c_Com_Ocom_OSemi(_u593, _u594)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u595) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u596, _u595)), _u597), _u598), _u599) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u595), hAPP(_u597, _u599)), hAPP(_u598, _u599))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u606), _u608), _u610)) | ( hAPP(c_Set_Oimage(_u606, _u612, c_Fun_Ofun__upd(_u606, _u612, _u614, _u608, _u616)), _u610) = hAPP(hAPP(c_Set_Oinsert(_u612), _u616), hAPP(c_Set_Oimage(_u606, _u612, _u614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u606, tc_HOL_Obool)), _u610), hAPP(hAPP(c_Set_Oinsert(_u606), _u608), c_Orderings_Obot__class_Obot(tc_fun(_u606, tc_HOL_Obool))))))) )).
% 12.17/12.36 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u607), _u609), _u611)) | ( hAPP(c_Set_Oimage(_u607, _u613, c_Fun_Ofun__upd(_u607, _u613, _u615, _u609, _u617)), _u611) = hAPP(c_Set_Oimage(_u607, _u613, _u615), _u611)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), _u621)) | ~hBOOL(hAPP(_u622, _u621)) | hBOOL(hAPP(_u622, c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), skolem18(_u622, _u621, _u620))) )).
% 12.17/12.36 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), _u621)) | ~hBOOL(hAPP(_u622, _u621)) | hBOOL(hAPP(_u622, c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u620), skolem17(_u622, _u621, _u620)), skolem18(_u622, _u621, _u620))) )).
% 12.17/12.36 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), _u621)) | ~hBOOL(hAPP(_u622, _u621)) | hBOOL(hAPP(_u622, c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))) | hBOOL(hAPP(_u622, skolem18(_u622, _u621, _u620))) )).
% 12.17/12.36 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), _u621)) | ~hBOOL(hAPP(_u622, _u621)) | hBOOL(hAPP(_u622, c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u622, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u620, tc_HOL_Obool)), skolem18(_u622, _u621, _u620)), hAPP(hAPP(c_Set_Oinsert(_u620), skolem17(_u622, _u621, _u620)), c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u623, tc_fun(_u623, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u623, tc_HOL_Obool), tc_fun(tc_fun(_u623, tc_HOL_Obool), tc_fun(_u623, tc_HOL_Obool)), _u623), hAPP(c_COMBC(tc_fun(_u623, tc_HOL_Obool), tc_fun(_u623, tc_HOL_Obool), tc_fun(_u623, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u623, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u623, tc_fun(_u623, tc_HOL_Obool), tc_fun(_u623, tc_HOL_Obool)), c_Set_Oinsert(_u623)), c_Orderings_Obot__class_Obot(tc_fun(_u623, tc_HOL_Obool))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u624, hAPP(c_fequal, _u625)) = _u625) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__triv-1, axiom, ( ( c_Fun_Ofun__upd(_u626, _u627, _u628, _u629, hAPP(_u628, _u629)) = _u628) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u639, _u641) = _u643) | ( c_Fun_Ofun__upd(_u635, _u637, _u639, _u641, _u643) != _u639) )).
% 12.17/12.36 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u640, _u642) != _u644) | ( c_Fun_Ofun__upd(_u636, _u638, _u640, _u642, _u644) = _u640) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__upd-1, axiom, ( ( c_Fun_Ofun__upd(_u645, _u646, c_Fun_Ofun__upd(_u645, _u646, _u647, _u648, _u649), _u648, _u650) = c_Fun_Ofun__upd(_u645, _u646, _u647, _u648, _u650)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(c_Fun_Ofun__upd(_u651, _u652, _u653, _u654, _u655), _u654) = _u655) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__apply-1, axiom, ( ( _u662 != _u664) | ( hAPP(c_Fun_Ofun__upd(_u666, _u668, _u670, _u664, _u672), _u662) = _u672) )).
% 12.17/12.36 cnf(fact_fun__upd__apply-2, axiom, ( ( _u663 = _u665) | ( hAPP(c_Fun_Ofun__upd(_u667, _u669, _u671, _u665, _u673), _u663) = hAPP(_u671, _u663)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__twist-1, axiom, ( ( _u674 = _u675) | ( c_Fun_Ofun__upd(_u676, _u677, c_Fun_Ofun__upd(_u676, _u677, _u678, _u674, _u679), _u675, _u680) = c_Fun_Ofun__upd(_u676, _u677, c_Fun_Ofun__upd(_u676, _u677, _u678, _u675, _u680), _u674, _u679)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__other-1, axiom, ( ( _u681 = _u682) | ( hAPP(c_Fun_Ofun__upd(_u683, _u684, _u685, _u682, _u686), _u681) = hAPP(_u685, _u681)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u687, _u688) != _u689) | ( c_Fun_Ofun__upd(_u690, _u691, _u687, _u688, _u689) = _u687) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u694, _u695), hAPP(hAPP(_u694, _u695), _u696)) = hAPP(hAPP(_u694, _u695), _u696)) | ~c_Finite__Set_Ofun__left__comm__idem(_u692, _u693, _u694) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__upd__def-1, axiom, ( ( _u703 != _u705) | ( hAPP(c_Fun_Ofun__upd(_u707, _u709, _u711, _u705, _u713), _u703) = _u713) )).
% 12.17/12.36 cnf(fact_fun__upd__def-2, axiom, ( ( _u704 = _u706) | ( hAPP(c_Fun_Ofun__upd(_u708, _u710, _u712, _u706, _u714), _u704) = hAPP(_u712, _u704)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u715, _u716, _u717) | c_Finite__Set_Ofun__left__comm__idem(_u718, _u716, hAPP(hAPP(c_COMBB(_u715, tc_fun(_u716, _u716), _u718), _u717), _u719)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u720, tc_fun(_u720, tc_HOL_Obool), c_Set_Oinsert(_u720)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_com_Osimps_I5_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_com_Osimps_I5_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u725, _u727) != c_Com_Ocom_OWhile(_u729, _u731)) | ( _u725 = _u729) )).
% 12.17/12.36 cnf(fact_com_Osimps_I5_J-2, axiom, ( ( c_Com_Ocom_OWhile(_u725, _u727) != c_Com_Ocom_OWhile(_u729, _u731)) | ( _u727 = _u731) )).
% 12.17/12.36 cnf(fact_com_Osimps_I5_J-3, axiom, ( ( _u726 != _u730) | ( _u728 != _u732) | ( c_Com_Ocom_OWhile(_u726, _u728) = c_Com_Ocom_OWhile(_u730, _u732)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_com_Osimps_I3_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_com_Osimps_I3_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u737, _u739) != c_Com_Ocom_OSemi(_u741, _u743)) | ( _u737 = _u741) )).
% 12.17/12.36 cnf(fact_com_Osimps_I3_J-2, axiom, ( ( c_Com_Ocom_OSemi(_u737, _u739) != c_Com_Ocom_OSemi(_u741, _u743)) | ( _u739 = _u743) )).
% 12.17/12.36 cnf(fact_com_Osimps_I3_J-3, axiom, ( ( _u738 != _u742) | ( _u740 != _u744) | ( c_Com_Ocom_OSemi(_u738, _u740) = c_Com_Ocom_OSemi(_u742, _u744)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u745, hAPP(hAPP(c_COMBC(_u745, _u745, tc_HOL_Obool), c_fequal), _u746)) = _u746) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u749)) | ~c_Nitpick_Ofold__graph_H(_u747, _u750, _u751, _u752, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u747, tc_HOL_Obool)), _u749), hAPP(hAPP(c_Set_Oinsert(_u747), _u748), c_Orderings_Obot__class_Obot(tc_fun(_u747, tc_HOL_Obool)))), _u753) | c_Nitpick_Ofold__graph_H(_u747, _u750, _u751, _u752, _u749, hAPP(hAPP(_u751, _u748), _u753)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u754, _u755, _u756, _u757, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u754, tc_HOL_Obool)), _u758), hAPP(hAPP(c_Set_Oinsert(_u754), _u759), c_Orderings_Obot__class_Obot(tc_fun(_u754, tc_HOL_Obool))))), _u760)) | ~hBOOL(hAPP(hAPP(c_member(_u754), _u759), _u758)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u754, _u755, _u756, _u757, _u758), hAPP(hAPP(_u756, _u759), _u760))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u766, _u768, _u770, hAPP(hAPP(c_Set_Oinsert(_u766), _u772), _u774)) | c_Fun_Oinj__on(_u766, _u768, _u770, _u774) )).
% 12.17/12.36 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u766, _u768, _u770, hAPP(hAPP(c_Set_Oinsert(_u766), _u772), _u774)) | ~hBOOL(hAPP(hAPP(c_member(_u768), hAPP(_u770, _u772)), hAPP(c_Set_Oimage(_u766, _u768, _u770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u766, tc_HOL_Obool)), _u774), hAPP(hAPP(c_Set_Oinsert(_u766), _u772), c_Orderings_Obot__class_Obot(tc_fun(_u766, tc_HOL_Obool))))))) )).
% 12.17/12.36 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u767, _u769, _u771, _u775) | hBOOL(hAPP(hAPP(c_member(_u769), hAPP(_u771, _u773)), hAPP(c_Set_Oimage(_u767, _u769, _u771), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u767, tc_HOL_Obool)), _u775), hAPP(hAPP(c_Set_Oinsert(_u767), _u773), c_Orderings_Obot__class_Obot(tc_fun(_u767, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u767, _u769, _u771, hAPP(hAPP(c_Set_Oinsert(_u767), _u773), _u775)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u776, _u777, _u778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u776), _u779)) | hBOOL(hAPP(hAPP(c_member(_u776), _u780), _u779)) | ( hAPP(_u778, hAPP(hAPP(c_Set_Oinsert(_u776), _u780), _u779)) = hAPP(hAPP(c_Finite__Set_Ofold(_u776, _u776, _u777), _u780), _u779)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u781), _u782)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u781, tc_HOL_Obool)), _u783), _u782) = hAPP(hAPP(c_Finite__Set_Ofold(_u781, tc_fun(_u781, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u781, tc_HOL_Obool), tc_fun(tc_fun(_u781, tc_HOL_Obool), tc_fun(_u781, tc_HOL_Obool)), _u781), hAPP(c_COMBC(tc_fun(_u781, tc_HOL_Obool), tc_fun(_u781, tc_HOL_Obool), tc_fun(_u781, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u781, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u781, tc_fun(_u781, tc_HOL_Obool), tc_fun(_u781, tc_HOL_Obool)), c_Set_Oinsert(_u781)), c_Orderings_Obot__class_Obot(tc_fun(_u781, tc_HOL_Obool))))), _u783), _u782)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u784, _u785, _u786, _u787), _u788) = c_HOL_OThe(_u784, hAPP(hAPP(c_COMBS(_u784, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u784), c_fconj), hAPP(hAPP(c_COMBC(_u784, tc_fun(_u784, tc_HOL_Obool), tc_HOL_Obool), c_member(_u784)), _u786))), hAPP(hAPP(c_COMBC(_u784, _u785, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u785, tc_fun(_u785, tc_HOL_Obool), _u784), c_fequal), _u787)), _u788)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u793, tc_HOL_Obool)), _u795), hAPP(hAPP(c_Set_Oinsert(_u793), _u797), _u799))) | ~hBOOL(hAPP(hAPP(c_member(_u793), _u797), _u795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u793, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u793, tc_HOL_Obool)), _u795), hAPP(hAPP(c_Set_Oinsert(_u793), _u797), c_Orderings_Obot__class_Obot(tc_fun(_u793, tc_HOL_Obool))))), _u799)) )).
% 12.17/12.36 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u793, tc_HOL_Obool)), _u795), hAPP(hAPP(c_Set_Oinsert(_u793), _u797), _u799))) | hBOOL(hAPP(hAPP(c_member(_u793), _u797), _u795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u793, tc_HOL_Obool)), _u795), _u799)) )).
% 12.17/12.36 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), _u800))) | hBOOL(hAPP(hAPP(c_member(_u794), _u798), _u796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), _u800)) )).
% 12.17/12.36 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), _u800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), c_Orderings_Obot__class_Obot(tc_fun(_u794, tc_HOL_Obool))))), _u800)) | ~hBOOL(hAPP(hAPP(c_member(_u794), _u798), _u796)) )).
% 12.17/12.36 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), _u800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), c_Orderings_Obot__class_Obot(tc_fun(_u794, tc_HOL_Obool))))), _u800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), _u800)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u801), _u803), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u804)) | ~hBOOL(hAPP(hAPP(c_member(_u801), _u803), _u802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u801), _u803), _u804))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u806), _u807)) | ~hBOOL(hAPP(hAPP(c_member(_u806), _u808), _u807)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u806, _u805), _u809), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u806, tc_HOL_Obool)), _u807), hAPP(hAPP(c_Set_Oinsert(_u806), _u808), c_Orderings_Obot__class_Obot(tc_fun(_u806, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u805), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u806, _u805), _u809), _u807)), hAPP(_u809, _u808))) )).
% 12.17/12.36 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u806), _u807)) | hBOOL(hAPP(hAPP(c_member(_u806), _u808), _u807)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u806, _u805), _u809), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u806, tc_HOL_Obool)), _u807), hAPP(hAPP(c_Set_Oinsert(_u806), _u808), c_Orderings_Obot__class_Obot(tc_fun(_u806, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u806, _u805), _u809), _u807)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u810) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u811), _u812)) | ~hBOOL(hAPP(hAPP(c_member(_u811), _u813), _u812)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u811, _u810), _u814), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u811, tc_HOL_Obool)), _u812), hAPP(hAPP(c_Set_Oinsert(_u811), _u813), c_Orderings_Obot__class_Obot(tc_fun(_u811, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u810), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u811, _u810), _u814), _u812)), hAPP(_u814, _u813))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_override__on__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_override__on__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u821), _u823), _u825)) | ( hAPP(c_Fun_Ooverride__on(_u821, _u827, _u829, _u831, _u825), _u823) = hAPP(_u831, _u823)) )).
% 12.17/12.36 cnf(fact_override__on__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u822), _u824), _u826)) | ( hAPP(c_Fun_Ooverride__on(_u822, _u828, _u830, _u832, _u826), _u824) = hAPP(_u830, _u824)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u833) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u833), _u834), _u834)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u835, tc_HOL_Obool)), _u836), _u837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u835, tc_HOL_Obool)), _u837), _u836)) | ( _u836 = _u837) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u838, tc_HOL_Obool)), _u839), _u840)) | ~hBOOL(hAPP(hAPP(c_member(_u838), _u841), _u839)) | hBOOL(hAPP(hAPP(c_member(_u838), _u841), _u840)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u842, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u842, tc_HOL_Obool))), _u843)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u844, _u845, _u846, c_Orderings_Obot__class_Obot(tc_fun(_u844, tc_HOL_Obool))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u847) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u847), _u848), _u849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u847), _u849), _u848)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u851, _u850)), _u852), _u853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u850), hAPP(_u852, _u854)), hAPP(_u853, _u854))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u855), _u856), _u857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u855), _u858), _u856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u855), _u858), _u857)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u859) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u859), _u860), _u861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u859), _u861), _u860)) | ( _u861 = _u860) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u862), _u863), _u864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u862), _u864), _u865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u862), _u863), _u865)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u866) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u866), _u867), _u868)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u866), _u868), _u867)) | ( _u867 = _u868) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u869) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u869), _u870), _u871)) | ( _u870 != _u872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u869), _u872), _u871)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u873), _u874), _u875)) | ( _u875 != _u876) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u873), _u874), _u876)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u877) | ( _u878 != _u879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u877), _u880), _u879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u877), _u880), _u878)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u881) | ( _u882 != _u883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u881), _u883), _u884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u881), _u882), _u884)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u886, _u888)) | hBOOL(hAPP(_u887, _u888)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u885, tc_HOL_Obool)), _u886), _u887)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u889), _u890), _u891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u889), _u891), _u890)) | ( _u891 = _u890) )).
% 12.17/12.36 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u889), _u890), _u891)) | ( _u891 != _u890) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u889), _u891), _u890)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u892) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u893, _u892)), _u894), _u895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u892), hAPP(_u894, _u896)), hAPP(_u895, _u896))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u897) | ( _u898 != _u899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u897), _u898), _u899)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u900, _u901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u902, tc_HOL_Obool)), _u900), _u903)) | hBOOL(hAPP(_u903, _u901)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u904) | ( _u905 != _u906) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u904), _u905), _u906)) )).
% 12.17/12.36 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u904) | ( _u905 != _u906) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u904), _u906), _u905)) )).
% 12.17/12.36 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u904) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u904), _u905), _u906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u904), _u906), _u905)) | ( _u905 = _u906) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u907) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u907), _u908), _u909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u907), _u909), _u908)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u913, _u912)), _u914), _u915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u912), hAPP(_u914, _u910)), hAPP(_u915, _u910))) )).
% 12.17/12.36 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u912), hAPP(_u914, skolem19(_u915, _u914, _u913, _u912))), hAPP(_u915, skolem19(_u915, _u914, _u913, _u912)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u913, _u912)), _u914), _u915)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u916) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u917, _u916), hAPP(hAPP(c_COMBC(_u917, tc_fun(_u918, tc_HOL_Obool), _u916), hAPP(hAPP(c_COMBB(tc_fun(_u918, _u916), tc_fun(tc_fun(_u918, tc_HOL_Obool), _u916), _u917), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u918, _u916)), _u919)), _u920)), _u921) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u918, _u916), hAPP(hAPP(c_COMBC(_u918, tc_fun(_u917, tc_HOL_Obool), _u916), hAPP(hAPP(c_COMBB(tc_fun(_u917, _u916), tc_fun(tc_fun(_u917, tc_HOL_Obool), _u916), _u918), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u917, _u916)), hAPP(c_COMBC(_u917, _u918, _u916), _u919))), _u921)), _u920)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_equalityE-1, axiom, ( ( _u922 != _u923) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u924, tc_HOL_Obool)), _u922), _u923)) )).
% 12.17/12.37 cnf(fact_equalityE-2, axiom, ( ( _u922 != _u923) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u924, tc_HOL_Obool)), _u923), _u922)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u925, tc_HOL_Obool)), _u926), _u927)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u925, tc_HOL_Obool)), _u927), _u928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u925, tc_HOL_Obool)), _u926), _u928)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_equalityD2-1, axiom, ( ( _u929 != _u930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u931, tc_HOL_Obool)), _u930), _u929)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_equalityD1-1, axiom, ( ( _u932 != _u933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u934, tc_HOL_Obool)), _u932), _u933)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_set__eq__subset-1, axiom, ( ( _u938 != _u940) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u942, tc_HOL_Obool)), _u938), _u940)) )).
% 12.17/12.37 cnf(fact_set__eq__subset-2, axiom, ( ( _u938 != _u940) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u942, tc_HOL_Obool)), _u940), _u938)) )).
% 12.17/12.37 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u943, tc_HOL_Obool)), _u939), _u941)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u943, tc_HOL_Obool)), _u941), _u939)) | ( _u939 = _u941) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u944, tc_HOL_Obool)), _u945), _u945)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u946, _u947, _u948, _u949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u946, tc_HOL_Obool)), _u950), _u949)) | c_Fun_Oinj__on(_u946, _u947, _u948, _u950) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u959, _u961, _u963, _u965) | ~hBOOL(hAPP(hAPP(c_member(_u959), _u952), _u965)) | ~hBOOL(hAPP(hAPP(c_member(_u959), _u951), _u965)) | ( hAPP(_u963, _u952) != hAPP(_u963, _u951)) | ( _u952 = _u951) )).
% 12.17/12.37 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u960, _u962, _u964, _u966) | hBOOL(hAPP(hAPP(c_member(_u960), skolem20(_u966, _u964, _u962, _u960)), _u966)) )).
% 12.17/12.37 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u960, _u962, _u964, _u966) | hBOOL(hAPP(hAPP(c_member(_u960), skolem21(_u966, _u964, _u962, _u960)), _u966)) )).
% 12.17/12.37 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u960, _u962, _u964, _u966) | ( hAPP(_u964, skolem20(_u966, _u964, _u962, _u960)) = hAPP(_u964, skolem21(_u966, _u964, _u962, _u960))) )).
% 12.17/12.37 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u960, _u962, _u964, _u966) | ( skolem20(_u966, _u964, _u962, _u960) != skolem21(_u966, _u964, _u962, _u960)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u967, _u967, c_COMBI(_u967), _u968) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u969, _u970, _u971, _u972) | ( hAPP(_u971, _u973) != _u974) | ~hBOOL(hAPP(hAPP(c_member(_u969), _u973), _u972)) | ( hAPP(c_Fun_Othe__inv__into(_u969, _u970, _u972, _u971), _u974) = _u973) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u975, _u976, _u977, _u978) | ~hBOOL(hAPP(hAPP(c_member(_u975), _u979), _u978)) | ( hAPP(c_Fun_Othe__inv__into(_u975, _u976, _u978, _u977), hAPP(_u977, _u979)) = _u979) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u980, _u981, _u982, _u983) | ( hAPP(c_Set_Oimage(_u981, _u980, c_Fun_Othe__inv__into(_u980, _u981, _u983, _u982)), hAPP(c_Set_Oimage(_u980, _u981, _u982), _u983)) = _u983) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u984, _u985, _u986, _u987) | c_Fun_Oinj__on(_u985, _u984, c_Fun_Othe__inv__into(_u984, _u985, _u987, _u986), hAPP(c_Set_Oimage(_u984, _u985, _u986), _u987)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u988, _u989, _u990, _u991) | ~hBOOL(hAPP(hAPP(c_member(_u989), _u992), hAPP(c_Set_Oimage(_u988, _u989, _u990), _u991))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u988, tc_HOL_Obool)), _u991), _u993)) | hBOOL(hAPP(hAPP(c_member(_u988), hAPP(c_Fun_Othe__inv__into(_u988, _u989, _u991, _u990), _u992)), _u993)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u994), _u995)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u994, tc_HOL_Obool)), _u995), _u996)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u994, tc_Nat_Onat), _u997), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u994, tc_HOL_Obool)), _u996), _u995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u994, tc_Nat_Onat), _u997), _u996)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u994, tc_Nat_Onat), _u997), _u995))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u998) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u999, _u998), hAPP(hAPP(c_COMBS(_u999, _u998, _u998), hAPP(hAPP(c_COMBB(_u998, tc_fun(_u998, _u998), _u999), c_Groups_Ominus__class_Ominus(_u998)), _u1000)), _u1001)), _u1002) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u998), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u999, _u998), _u1000), _u1002)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u999, _u998), _u1001), _u1002))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u1003, _u1004, _u1005), _u1006), _u1007) = c_HOL_OThe(_u1004, c_Finite__Set_Ofold__graph(_u1003, _u1004, _u1005, _u1006, _u1007))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1008), _u1009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1008, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1008, _u1008, _u1010), _u1009)), _u1009)) | ~c_Fun_Oinj__on(_u1008, _u1008, _u1010, _u1009) | ( hAPP(c_Set_Oimage(_u1008, _u1008, _u1010), _u1009) = _u1009) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1011), _u1012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1011, tc_HOL_Obool)), _u1012), hAPP(c_Set_Oimage(_u1011, _u1011, _u1013), _u1012))) | c_Fun_Oinj__on(_u1011, _u1011, _u1013, _u1012) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u1014, _u1015, _u1016, _u1017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1014, tc_HOL_Obool)), _u1018), _u1017)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1014, tc_HOL_Obool)), _u1019), _u1017)) | ( hAPP(c_Set_Oimage(_u1014, _u1015, _u1016), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1014, tc_HOL_Obool)), _u1018), _u1019)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1015, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1014, _u1015, _u1016), _u1018)), hAPP(c_Set_Oimage(_u1014, _u1015, _u1016), _u1019))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u1020, _u1021, _u1022, _u1023) | ( hAPP(_u1022, _u1024) != hAPP(_u1022, _u1025)) | ~hBOOL(hAPP(hAPP(c_member(_u1020), _u1024), _u1023)) | ~hBOOL(hAPP(hAPP(c_member(_u1020), _u1025), _u1023)) | ( _u1024 = _u1025) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u1026, _u1027, _u1028, _u1029) | ~hBOOL(hAPP(hAPP(c_member(_u1026), _u1030), _u1029)) | ~hBOOL(hAPP(hAPP(c_member(_u1026), _u1031), _u1029)) | ( hAPP(_u1028, _u1030) != hAPP(_u1028, _u1031)) | ( _u1030 = _u1031) )).
% 12.17/12.37 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u1026, _u1027, _u1028, _u1029) | ~hBOOL(hAPP(hAPP(c_member(_u1026), _u1030), _u1029)) | ~hBOOL(hAPP(hAPP(c_member(_u1026), _u1031), _u1029)) | ( _u1030 != _u1031) | ( hAPP(_u1028, _u1030) = hAPP(_u1028, _u1031)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u1032, _u1033, _u1034, _u1035) | ( _u1036 = _u1037) | ~hBOOL(hAPP(hAPP(c_member(_u1032), _u1036), _u1035)) | ~hBOOL(hAPP(hAPP(c_member(_u1032), _u1037), _u1035)) | ( hAPP(_u1034, _u1036) != hAPP(_u1034, _u1037)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u1038, _u1039, _u1040, _u1041) | c_Fun_Oinj__on(_u1038, _u1039, _u1040, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1038, tc_HOL_Obool)), _u1041), _u1042)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u1043) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1044), _u1045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1044, tc_HOL_Obool)), _u1046), _u1045)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1044, _u1043), _u1047), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1044, tc_HOL_Obool)), _u1045), _u1046)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1043), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1044, _u1043), _u1047), _u1045)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1044, _u1043), _u1047), _u1046))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1048, _u1049, _u1050, _u1051, c_Orderings_Obot__class_Obot(tc_fun(_u1048, tc_HOL_Obool)), _u1051) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1052, _u1053, _u1054, _u1055, c_Orderings_Obot__class_Obot(tc_fun(_u1052, tc_HOL_Obool)), _u1055) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u1056, _u1057, _u1058), _u1059), c_Orderings_Obot__class_Obot(tc_fun(_u1056, tc_HOL_Obool))) = _u1059) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u1060, _u1061, _u1062, _u1063) | ~hBOOL(hAPP(hAPP(c_member(_u1061), _u1064), hAPP(c_Set_Oimage(_u1060, _u1061, _u1062), _u1063))) | ( hAPP(_u1062, hAPP(c_Fun_Othe__inv__into(_u1060, _u1061, _u1063, _u1062), _u1064)) = _u1064) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1065, tc_HOL_Obool)), _u1066), _u1067)) | ~hBOOL(hAPP(hAPP(c_member(_u1065), _u1068), _u1066)) | hBOOL(hAPP(hAPP(c_member(_u1065), _u1068), _u1067)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1069), _u1070), _u1071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1069, tc_HOL_Obool)), _u1071), _u1072)) | hBOOL(hAPP(hAPP(c_member(_u1069), _u1070), _u1072)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1073, tc_HOL_Obool)), _u1074), _u1075)) | ~hBOOL(hAPP(hAPP(c_member(_u1073), _u1076), _u1074)) | hBOOL(hAPP(hAPP(c_member(_u1073), _u1076), _u1075)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u1077) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1077), c_Orderings_Obot__class_Obot(_u1077)), _u1078)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1081, tc_HOL_Obool)), _u1083), c_Orderings_Obot__class_Obot(tc_fun(_u1081, tc_HOL_Obool)))) | ( _u1083 = c_Orderings_Obot__class_Obot(tc_fun(_u1081, tc_HOL_Obool))) )).
% 12.17/12.37 cnf(fact_subset__empty-2, axiom, ( ( _u1084 != c_Orderings_Obot__class_Obot(tc_fun(_u1082, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1082, tc_HOL_Obool)), _u1084), c_Orderings_Obot__class_Obot(tc_fun(_u1082, tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1085, tc_HOL_Obool)), _u1086), _u1087)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), _u1087)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), _u1086)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1088), _u1089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1088, tc_HOL_Obool)), _u1090), _u1089)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1088), _u1090)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1091, tc_HOL_Obool)), _u1092), _u1093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1091, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1091), _u1094), _u1092)), hAPP(hAPP(c_Set_Oinsert(_u1091), _u1094), _u1093))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1095, tc_HOL_Obool)), _u1096), _u1097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1095, tc_HOL_Obool)), _u1096), hAPP(hAPP(c_Set_Oinsert(_u1095), _u1098), _u1097))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1099, tc_HOL_Obool)), _u1100), hAPP(hAPP(c_Set_Oinsert(_u1099), _u1101), _u1100))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1102, tc_HOL_Obool)), _u1103), _u1104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1105, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1102, _u1105, _u1106), _u1103)), hAPP(c_Set_Oimage(_u1102, _u1105, _u1106), _u1104))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1114, tc_HOL_Obool)), _u1116), hAPP(c_Set_Oimage(_u1118, _u1114, _u1120), _u1122))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1118, tc_HOL_Obool)), skolem22(_u1122, _u1120, _u1118, _u1116, _u1114)), _u1122)) )).
% 12.17/12.37 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1114, tc_HOL_Obool)), _u1116), hAPP(c_Set_Oimage(_u1118, _u1114, _u1120), _u1122))) | ( _u1116 = hAPP(c_Set_Oimage(_u1118, _u1114, _u1120), skolem22(_u1122, _u1120, _u1118, _u1116, _u1114))) )).
% 12.17/12.37 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1119, tc_HOL_Obool)), _u1108), _u1123)) | ( _u1117 != hAPP(c_Set_Oimage(_u1119, _u1115, _u1121), _u1108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1115, tc_HOL_Obool)), _u1117), hAPP(c_Set_Oimage(_u1119, _u1115, _u1121), _u1123))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1124, tc_HOL_Obool)), _u1125), _u1126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1124, tc_HOL_Obool)), _u1126), _u1127)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1124, tc_HOL_Obool)), _u1126), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1124, tc_HOL_Obool)), _u1127), _u1125)) = _u1125) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1128, tc_HOL_Obool)), _u1129), _u1130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1128, tc_HOL_Obool)), _u1131), _u1132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1128, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1128, tc_HOL_Obool)), _u1129), _u1132)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1128, tc_HOL_Obool)), _u1130), _u1131))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1133, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1133, tc_HOL_Obool)), _u1134), _u1135)), _u1134)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_thin ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_thin-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u1136, _u1137, _u1138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1136), tc_HOL_Obool)), _u1137), _u1139)) | c_Hoare__Mirabelle_Ohoare__derivs(_u1136, _u1139, _u1138) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_weaken ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u1140, _u1141, _u1142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1140), tc_HOL_Obool)), _u1143), _u1142)) | c_Hoare__Mirabelle_Ohoare__derivs(_u1140, _u1141, _u1143) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_asm ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1144), tc_HOL_Obool)), _u1145), _u1146)) | c_Hoare__Mirabelle_Ohoare__derivs(_u1144, _u1146, _u1145) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u1151 = _u1150) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1147, _u1148, _u1149, _u1150, c_Orderings_Obot__class_Obot(tc_fun(_u1147, tc_HOL_Obool))), _u1151)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1152, _u1153, _u1154, _u1155, c_Orderings_Obot__class_Obot(tc_fun(_u1152, tc_HOL_Obool))), _u1155)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1156, _u1157, _u1158, _u1159, c_Orderings_Obot__class_Obot(tc_fun(_u1156, tc_HOL_Obool))), _u1159)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1160, _u1161, _u1162, _u1163, _u1164), _u1165)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1160), _u1164)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1169, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1169, tc_fun(_u1169, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1169)), _u1171)), hAPP(hAPP(c_COMBC(_u1169, tc_fun(_u1169, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1169)), _u1173))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1169, tc_HOL_Obool)), _u1171), _u1173)) )).
% 12.17/12.37 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1170, tc_HOL_Obool)), _u1172), _u1174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1170, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1170, tc_fun(_u1170, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1170)), _u1172)), hAPP(hAPP(c_COMBC(_u1170, tc_fun(_u1170, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1170)), _u1174))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1175), hAPP(c_Set_Oimage(_u1176, _u1175, _u1177), _u1178))) | ~c_Fun_Oinj__on(_u1176, _u1175, _u1177, _u1178) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1176), _u1178)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1179), _u1180), _u1181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1179, tc_HOL_Obool)), _u1181), hAPP(hAPP(c_Set_Oinsert(_u1179), _u1180), _u1182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1179, tc_HOL_Obool)), _u1181), _u1182)) )).
% 12.17/12.37 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1179), _u1180), _u1181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1179, tc_HOL_Obool)), _u1181), _u1182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1179, tc_HOL_Obool)), _u1181), hAPP(hAPP(c_Set_Oinsert(_u1179), _u1180), _u1182))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1187, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1187), _u1189), _u1191)), _u1193)) | hBOOL(hAPP(hAPP(c_member(_u1187), _u1189), _u1193)) )).
% 12.17/12.37 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1187, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1187), _u1189), _u1191)), _u1193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1187, tc_HOL_Obool)), _u1191), _u1193)) )).
% 12.17/12.37 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1188), _u1190), _u1194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), _u1192), _u1194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1188), _u1190), _u1192)), _u1194)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1195, tc_HOL_Obool)), _u1196), hAPP(hAPP(c_Set_Oinsert(_u1195), _u1197), c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))))) | ( _u1196 = c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))) | ( _u1196 = hAPP(hAPP(c_Set_Oinsert(_u1195), _u1197), c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1198), _u1199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1200, tc_HOL_Obool)), _u1201), hAPP(c_Set_Oimage(_u1198, _u1200, _u1202), _u1199))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1200), _u1201)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1203, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1203, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1204, _u1203, _u1205), _u1206)), hAPP(c_Set_Oimage(_u1204, _u1203, _u1205), _u1207))), hAPP(c_Set_Oimage(_u1204, _u1203, _u1205), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1204, tc_HOL_Obool)), _u1206), _u1207)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1210)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1208, _u1211, _u1212, _u1213, _u1210), _u1214)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1208, _u1211, _u1212, _u1213, hAPP(hAPP(c_Set_Oinsert(_u1208), _u1209), _u1210)), hAPP(hAPP(_u1212, _u1209), _u1214))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), _u1223)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1219, tc_Nat_Onat), _u1225), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1219, tc_HOL_Obool)), _u1223), hAPP(hAPP(c_Set_Oinsert(_u1219), _u1221), c_Orderings_Obot__class_Obot(tc_fun(_u1219, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1219, tc_Nat_Onat), _u1225), _u1223)), hAPP(_u1225, _u1221))) )).
% 12.17/12.37 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1220), _u1222), _u1224)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1220, tc_Nat_Onat), _u1226), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1220, tc_HOL_Obool)), _u1224), hAPP(hAPP(c_Set_Oinsert(_u1220), _u1222), c_Orderings_Obot__class_Obot(tc_fun(_u1220, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1220, tc_Nat_Onat), _u1226), _u1224)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1228), _u1233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1228, tc_HOL_Obool)), _u1234), _u1233)) | ( hAPP(hAPP(_u1229, hAPP(_u1232, _u1234)), hAPP(_u1232, _u1233)) = hAPP(_u1232, _u1233)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1227, _u1228, _u1229, _u1230, _u1231, _u1232) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u1235, _u1236, _u1237, _u1238) | hBOOL(hAPP(hAPP(c_member(_u1236), _u1239), hAPP(c_Set_Oimage(_u1235, _u1236, _u1237), _u1238))) | c_Fun_Oinj__on(_u1235, _u1236, c_Fun_Ofun__upd(_u1235, _u1236, _u1237, _u1240, _u1239), _u1238) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_override__on__apply__in ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_override__on__apply__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), _u1243)) | ( hAPP(c_Fun_Ooverride__on(_u1241, _u1244, _u1245, _u1246, _u1243), _u1242) = hAPP(_u1246, _u1242)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_override__on__apply__notin ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_override__on__apply__notin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1247), _u1248), _u1249)) | ( hAPP(c_Fun_Ooverride__on(_u1247, _u1250, _u1251, _u1252, _u1249), _u1248) = hAPP(_u1251, _u1248)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_override__on__emptyset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_override__on__emptyset-1, axiom, ( ( c_Fun_Ooverride__on(_u1253, _u1254, _u1255, _u1256, c_Orderings_Obot__class_Obot(tc_fun(_u1253, tc_HOL_Obool))) = _u1255) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u1257, _u1258, _u1259) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1257), _u1260)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1257, _u1258, _u1259), _u1261), hAPP(hAPP(c_Set_Oinsert(_u1257), _u1262), _u1260)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1257, _u1258, _u1259), hAPP(hAPP(_u1259, _u1262), _u1261)), _u1260)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u1263, _u1264, _u1265) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1263), _u1266)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1263, _u1264, _u1265), _u1267), hAPP(hAPP(c_Set_Oinsert(_u1263), _u1268), _u1266)) = hAPP(hAPP(_u1265, _u1268), hAPP(hAPP(c_Finite__Set_Ofold(_u1263, _u1264, _u1265), _u1267), _u1266))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1269, _u1270, _u1271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1269), _u1272)) | ( hAPP(_u1271, hAPP(hAPP(c_Set_Oinsert(_u1269), _u1273), _u1272)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1269, _u1269, _u1270), _u1273), _u1272)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1274, _u1275, _u1276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1274), _u1277)) | ( _u1278 = c_Orderings_Obot__class_Obot(tc_fun(_u1274, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1274, tc_HOL_Obool)), _u1278), _u1277)) | ( hAPP(hAPP(_u1275, hAPP(_u1276, _u1278)), hAPP(_u1276, _u1277)) = hAPP(_u1276, _u1277)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u1283 = c_Orderings_Obot__class_Obot(tc_fun(_u1284, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u1284, _u1285, _u1279, _u1283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1285, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1284, _u1285, _u1279), _u1283)), _u1286)) | ( hAPP(c_Set_Oimage(_u1285, _u1284, skolem23(_u1286, _u1285, _u1284, _u1283)), _u1286) = _u1283) )).
% 12.17/12.37 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u1283 = c_Orderings_Obot__class_Obot(tc_fun(_u1284, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1285, _u1284, _u1281), _u1286) != _u1283) | c_Fun_Oinj__on(_u1284, _u1285, skolem24(_u1286, _u1285, _u1284, _u1283), _u1283) )).
% 12.17/12.37 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u1283 = c_Orderings_Obot__class_Obot(tc_fun(_u1284, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1285, _u1284, _u1281), _u1286) != _u1283) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1285, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1284, _u1285, skolem24(_u1286, _u1285, _u1284, _u1283)), _u1283)), _u1286)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1287, _u1288, _u1289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1287), _u1290)) | ~hBOOL(hAPP(hAPP(c_member(_u1287), _u1291), _u1290)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1287, _u1288, _u1289), _u1292), _u1290) = hAPP(hAPP(_u1289, _u1291), hAPP(hAPP(c_Finite__Set_Ofold(_u1287, _u1288, _u1289), _u1292), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1287, tc_HOL_Obool)), _u1290), hAPP(hAPP(c_Set_Oinsert(_u1287), _u1291), c_Orderings_Obot__class_Obot(tc_fun(_u1287, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1293, _u1293, _u1294, _u1295, _u1296), _u1297)) | hBOOL(hAPP(hAPP(c_member(_u1293), _u1295), _u1296)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1293, _u1294, hAPP(hAPP(c_Set_Oinsert(_u1293), _u1295), _u1296)), _u1297)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1301, tc_HOL_Obool)), _u1303), hAPP(hAPP(c_Set_Oinsert(_u1301), _u1305), c_Orderings_Obot__class_Obot(tc_fun(_u1301, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1301, _u1305, _u1303) = _u1305) )).
% 12.17/12.37 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1302, tc_HOL_Obool)), _u1304), hAPP(hAPP(c_Set_Oinsert(_u1302), _u1306), c_Orderings_Obot__class_Obot(tc_fun(_u1302, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1302, _u1306, _u1304) = c_HOL_OThe(_u1302, hAPP(hAPP(c_COMBC(_u1302, tc_fun(_u1302, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1302)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1302, tc_HOL_Obool)), _u1304), hAPP(hAPP(c_Set_Oinsert(_u1302), _u1306), c_Orderings_Obot__class_Obot(tc_fun(_u1302, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1307, _u1308, _u1309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1307), _u1310)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1307, _u1308, _u1309), _u1311), hAPP(hAPP(c_Set_Oinsert(_u1307), _u1312), _u1310)) = hAPP(hAPP(_u1309, _u1312), hAPP(hAPP(c_Finite__Set_Ofold(_u1307, _u1308, _u1309), _u1311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1307, tc_HOL_Obool)), _u1310), hAPP(hAPP(c_Set_Oinsert(_u1307), _u1312), c_Orderings_Obot__class_Obot(tc_fun(_u1307, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( _u1332 = c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1324), skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), _u1332)) )).
% 12.17/12.37 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( _u1332 = c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool))) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = hAPP(hAPP(_u1328, skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), skolem26(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324))) )).
% 12.17/12.37 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( _u1332 = c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1324, tc_HOL_Obool)), _u1332), hAPP(hAPP(c_Set_Oinsert(_u1324), skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool)))), skolem26(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)) )).
% 12.17/12.37 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = _u1330) | hBOOL(hAPP(hAPP(c_member(_u1324), skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), _u1332)) )).
% 12.17/12.37 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = _u1330) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = hAPP(hAPP(_u1328, skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), skolem26(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324))) )).
% 12.17/12.37 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = _u1330) | c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1324, tc_HOL_Obool)), _u1332), hAPP(hAPP(c_Set_Oinsert(_u1324), skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool)))), skolem26(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)) )).
% 12.17/12.37 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u1325, _u1327, _u1329, _u1331, _u1333, hAPP(hAPP(_u1329, _u1335), _u1337)) | ( _u1333 != c_Orderings_Obot__class_Obot(tc_fun(_u1325, tc_HOL_Obool))) | ( hAPP(hAPP(_u1329, _u1335), _u1337) != _u1331) )).
% 12.17/12.37 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u1325, _u1327, _u1329, _u1331, _u1333, hAPP(hAPP(_u1329, _u1335), _u1337)) | ~hBOOL(hAPP(hAPP(c_member(_u1325), _u1316), _u1333)) | ( hAPP(hAPP(_u1329, _u1335), _u1337) != hAPP(hAPP(_u1329, _u1316), _u1315)) | ~c_Nitpick_Ofold__graph_H(_u1325, _u1327, _u1329, _u1331, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1325, tc_HOL_Obool)), _u1333), hAPP(hAPP(c_Set_Oinsert(_u1325), _u1316), c_Orderings_Obot__class_Obot(tc_fun(_u1325, tc_HOL_Obool)))), _u1315) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1338) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1338), _u1339), _u1340) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1338), _u1341), _u1342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1338), _u1339), _u1340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1338), _u1341), _u1342)) )).
% 12.17/12.37 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1338) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1338), _u1339), _u1340) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1338), _u1341), _u1342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1338), _u1341), _u1342)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1338), _u1339), _u1340)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1343, _u1344, _u1345) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1343), _u1346)) | hBOOL(hAPP(hAPP(c_member(_u1343), _u1347), _u1346)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1343, _u1344, _u1345), _u1348), hAPP(hAPP(c_Set_Oinsert(_u1343), _u1347), _u1346)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1343, _u1344, _u1345), hAPP(hAPP(_u1345, _u1347), _u1348)), _u1346)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1349, _u1350, _u1351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1349), _u1352)) | hBOOL(hAPP(hAPP(c_member(_u1349), _u1353), _u1352)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1349, _u1350, _u1351), _u1354), hAPP(hAPP(c_Set_Oinsert(_u1349), _u1353), _u1352)) = hAPP(hAPP(_u1351, _u1353), hAPP(hAPP(c_Finite__Set_Ofold(_u1349, _u1350, _u1351), _u1354), _u1352))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), skolem28(_u1360, _u1359, _u1358, _u1357))) )).
% 12.17/12.37 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | hBOOL(hAPP(hAPP(c_member(_u1357), skolem27(_u1360, _u1359, _u1358, _u1357)), _u1359)) )).
% 12.17/12.37 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | ~hBOOL(hAPP(hAPP(c_member(_u1357), skolem27(_u1360, _u1359, _u1358, _u1357)), skolem28(_u1360, _u1359, _u1358, _u1357))) )).
% 12.17/12.37 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | hBOOL(hAPP(_u1360, skolem28(_u1360, _u1359, _u1358, _u1357))) )).
% 12.17/12.37 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | ~hBOOL(hAPP(_u1360, hAPP(hAPP(c_Set_Oinsert(_u1357), skolem27(_u1360, _u1359, _u1358, _u1357)), skolem28(_u1360, _u1359, _u1358, _u1357)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1362), _u1363)) | ~hBOOL(hAPP(hAPP(c_member(_u1362), _u1364), _u1363)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1362, _u1361), _u1365), _u1363) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1361), hAPP(_u1365, _u1364)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1362, _u1361), _u1365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1362, tc_HOL_Obool)), _u1363), hAPP(hAPP(c_Set_Oinsert(_u1362), _u1364), c_Orderings_Obot__class_Obot(tc_fun(_u1362, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u1368, _u1369), hAPP(hAPP(_u1368, _u1370), _u1371)) = hAPP(hAPP(_u1368, _u1370), hAPP(hAPP(_u1368, _u1369), _u1371))) | ~c_Finite__Set_Ofun__left__comm(_u1366, _u1367, _u1368) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1372) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1372), _u1373), _u1374) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1372), _u1375), _u1374)) | ( _u1373 = _u1375) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1376) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1376), _u1377), _u1378) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1376), _u1377), _u1379)) | ( _u1378 = _u1379) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1380) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1380), _u1381), _u1382) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1380), _u1381), _u1383)) | ( _u1382 = _u1383) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1384) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1384), _u1385), _u1386) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1384), _u1387), _u1386)) | ( _u1385 = _u1387) )).
% 12.17/12.37 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1384) | ( _u1385 != _u1387) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1384), _u1385), _u1386) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1384), _u1387), _u1386)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1388) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1390) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1391)) | ( _u1390 = _u1391) )).
% 12.17/12.37 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1388) | ( _u1390 != _u1391) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1390) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1391)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u1392) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1394)), _u1395) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1394), _u1395))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1396), _u1397), _u1398)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1396), _u1397), _u1399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1396), _u1398), _u1399)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1400), _u1401), _u1402)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1400), _u1403), _u1402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1400), _u1401), _u1403)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1404), _u1405), _u1406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1404), _u1407), _u1408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1404), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1404), _u1405), _u1407)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1404), _u1406), _u1408))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1409), _u1410), _u1411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1409), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1409), _u1412), _u1410)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1409), _u1412), _u1411))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1413), _u1414), _u1415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1413), _u1414), _u1416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1413), _u1415), _u1416))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1420))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1417), _u1419), _u1420)) )).
% 12.17/12.37 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1417), _u1419), _u1420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1420))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1424), _u1423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1421), _u1422), _u1424)) )).
% 12.17/12.37 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1421), _u1422), _u1424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1424), _u1423))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1425) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1425), _u1426), _u1427)), _u1427) = _u1426) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1428) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1428), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1428), _u1429), _u1430)), _u1430) = _u1429) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1431, _u1432, _u1433) | c_Finite__Set_Ofun__left__comm(_u1434, _u1432, hAPP(hAPP(c_COMBB(_u1431, tc_fun(_u1432, _u1432), _u1434), _u1433), _u1435)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1436) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1437, _u1436), hAPP(hAPP(c_COMBS(_u1437, _u1436, _u1436), hAPP(hAPP(c_COMBB(_u1436, tc_fun(_u1436, _u1436), _u1437), c_Groups_Oplus__class_Oplus(_u1436)), _u1438)), _u1439)), _u1440) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1436), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1437, _u1436), _u1438), _u1440)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1437, _u1436), _u1439), _u1440))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1441, _u1442, _u1443) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1441, _u1442, _u1443, _u1444, _u1445), _u1446)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1441, _u1442, _u1443, _u1444, _u1445), _u1447)) | ( _u1447 = _u1446) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1448, _u1449, c_Orderings_Obot__class_Obot(tc_fun(_u1448, tc_HOL_Obool))), _u1450)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1451, _u1452, _u1453), _u1454)) | ( _u1453 != c_Orderings_Obot__class_Obot(tc_fun(_u1451, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1456), _u1457)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1456, _u1455), hAPP(hAPP(c_COMBS(_u1456, _u1455, _u1455), hAPP(hAPP(c_COMBB(_u1455, tc_fun(_u1455, _u1455), _u1456), c_Groups_Oplus__class_Oplus(_u1455)), _u1458)), _u1459)), _u1457) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1455), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1456, _u1455), _u1458), _u1457)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1456, _u1455), _u1459), _u1457))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u1460) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1460), _u1461), _u1462) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1460), _u1463), _u1464)) | ( _u1461 != _u1462) | ( _u1463 = _u1464) )).
% 12.17/12.37 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u1460) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1460), _u1461), _u1462) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1460), _u1463), _u1464)) | ( _u1463 != _u1464) | ( _u1461 = _u1462) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1465, _u1466, _u1467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1465), _u1468)) | ( hAPP(hAPP(_u1467, _u1469), hAPP(hAPP(c_Finite__Set_Ofold(_u1465, _u1466, _u1467), _u1470), _u1468)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1465, _u1466, _u1467), hAPP(hAPP(_u1467, _u1469), _u1470)), _u1468)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1471, _u1472, _u1473) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1471, _u1472, _u1473, _u1474, _u1475), _u1476)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1471, _u1472, _u1473), _u1474), _u1475) = _u1476) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1Set__sing-1, axiom, ( ( _u1485 = _u1487) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1481, _u1483, hAPP(hAPP(c_Set_Oinsert(_u1481), _u1485), c_Orderings_Obot__class_Obot(tc_fun(_u1481, tc_HOL_Obool)))), _u1487)) )).
% 12.17/12.37 cnf(fact_fold1Set__sing-2, axiom, ( ( _u1486 != _u1488) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1482, _u1484, hAPP(hAPP(c_Set_Oinsert(_u1482), _u1486), c_Orderings_Obot__class_Obot(tc_fun(_u1482, tc_HOL_Obool)))), _u1488)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1489) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1490), _u1491)) | hBOOL(hAPP(hAPP(c_member(_u1490), _u1492), _u1491)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1490, _u1489), _u1493), hAPP(hAPP(c_Set_Oinsert(_u1490), _u1492), _u1491)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1489), hAPP(_u1493, _u1492)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1490, _u1489), _u1493), _u1491))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1495), _u1496)) | hBOOL(hAPP(hAPP(c_member(_u1495), _u1497), _u1496)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1495, _u1494), _u1498), hAPP(hAPP(c_Set_Oinsert(_u1495), _u1497), _u1496)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1494), hAPP(_u1498, _u1497)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1495, _u1494), _u1498), _u1496))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1499) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1500), _u1501)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1500, _u1499), _u1502), hAPP(hAPP(c_Set_Oinsert(_u1500), _u1503), _u1501)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1499), hAPP(_u1502, _u1503)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1500, _u1499), _u1502), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1500, tc_HOL_Obool)), _u1501), hAPP(hAPP(c_Set_Oinsert(_u1500), _u1503), c_Orderings_Obot__class_Obot(tc_fun(_u1500, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1504, _u1505, _u1506) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1504), _u1507)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1504, _u1505, _u1506, _u1508, _u1507), hAPP(hAPP(c_Finite__Set_Ofold(_u1504, _u1505, _u1506), _u1508), _u1507))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1510), _u1511)) | ~hBOOL(hAPP(hAPP(c_member(_u1510), _u1512), _u1511)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1510, _u1509), _u1513), _u1511) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1509), hAPP(_u1513, _u1512)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1510, _u1509), _u1513), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1510, tc_HOL_Obool)), _u1511), hAPP(hAPP(c_Set_Oinsert(_u1510), _u1512), c_Orderings_Obot__class_Obot(tc_fun(_u1510, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1515, _u1516, _u1517) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1515, _u1516, _u1517, _u1518, _u1519), _u1520)) | ~hBOOL(hAPP(hAPP(c_member(_u1515), _u1521), _u1519)) | ( _u1520 = hAPP(hAPP(_u1517, _u1521), skolem29(_u1521, _u1520, _u1519, _u1518, _u1517, _u1516, _u1515))) )).
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1515, _u1516, _u1517) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1515, _u1516, _u1517, _u1518, _u1519), _u1520)) | ~hBOOL(hAPP(hAPP(c_member(_u1515), _u1521), _u1519)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1515, _u1516, _u1517, _u1518, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1515, tc_HOL_Obool)), _u1519), hAPP(hAPP(c_Set_Oinsert(_u1515), _u1521), c_Orderings_Obot__class_Obot(tc_fun(_u1515, tc_HOL_Obool))))), skolem29(_u1521, _u1520, _u1519, _u1518, _u1517, _u1516, _u1515))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1531, _u1533, hAPP(hAPP(c_Set_Oinsert(_u1531), _u1535), _u1537)), _u1539)) | ( hAPP(hAPP(c_Set_Oinsert(_u1531), _u1535), _u1537) = hAPP(hAPP(c_Set_Oinsert(_u1531), skolem30(_u1539, _u1537, _u1535, _u1533, _u1531)), skolem31(_u1539, _u1537, _u1535, _u1533, _u1531))) )).
% 12.17/12.37 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1531, _u1533, hAPP(hAPP(c_Set_Oinsert(_u1531), _u1535), _u1537)), _u1539)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1531, _u1531, _u1533, skolem30(_u1539, _u1537, _u1535, _u1533, _u1531), skolem31(_u1539, _u1537, _u1535, _u1533, _u1531)), _u1539)) )).
% 12.17/12.37 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1531, _u1533, hAPP(hAPP(c_Set_Oinsert(_u1531), _u1535), _u1537)), _u1539)) | ~hBOOL(hAPP(hAPP(c_member(_u1531), skolem30(_u1539, _u1537, _u1535, _u1533, _u1531)), skolem31(_u1539, _u1537, _u1535, _u1533, _u1531))) )).
% 12.17/12.37 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1532), _u1536), _u1538) != hAPP(hAPP(c_Set_Oinsert(_u1532), _u1525), _u1524)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1532, _u1532, _u1534, _u1525, _u1524), _u1540)) | hBOOL(hAPP(hAPP(c_member(_u1532), _u1525), _u1524)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1532, _u1534, hAPP(hAPP(c_Set_Oinsert(_u1532), _u1536), _u1538)), _u1540)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1543, _u1544, hAPP(hAPP(c_Set_Oinsert(_u1543), _u1545), _u1546)), _u1547)) | ( hAPP(hAPP(c_Set_Oinsert(_u1543), _u1545), _u1546) = hAPP(hAPP(c_Set_Oinsert(_u1543), skolem32(_u1547, _u1546, _u1545, _u1544, _u1543)), skolem33(_u1547, _u1546, _u1545, _u1544, _u1543))) )).
% 12.17/12.37 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1543, _u1544, hAPP(hAPP(c_Set_Oinsert(_u1543), _u1545), _u1546)), _u1547)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1543, _u1543, _u1544, skolem32(_u1547, _u1546, _u1545, _u1544, _u1543), skolem33(_u1547, _u1546, _u1545, _u1544, _u1543)), _u1547)) )).
% 12.17/12.37 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1543, _u1544, hAPP(hAPP(c_Set_Oinsert(_u1543), _u1545), _u1546)), _u1547)) | ~hBOOL(hAPP(hAPP(c_member(_u1543), skolem32(_u1547, _u1546, _u1545, _u1544, _u1543)), skolem33(_u1547, _u1546, _u1545, _u1544, _u1543))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1549, _u1550, _u1551) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1549, _u1550, _u1551, _u1552, hAPP(hAPP(c_Set_Oinsert(_u1549), _u1553), _u1554)), _u1555)) | hBOOL(hAPP(hAPP(c_member(_u1549), _u1553), _u1554)) | ( _u1555 = hAPP(hAPP(_u1551, _u1553), skolem34(_u1555, _u1554, _u1553, _u1552, _u1551, _u1550, _u1549))) )).
% 12.17/12.37 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1549, _u1550, _u1551) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1549, _u1550, _u1551, _u1552, hAPP(hAPP(c_Set_Oinsert(_u1549), _u1553), _u1554)), _u1555)) | hBOOL(hAPP(hAPP(c_member(_u1549), _u1553), _u1554)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1549, _u1550, _u1551, _u1552, _u1554), skolem34(_u1555, _u1554, _u1553, _u1552, _u1551, _u1550, _u1549))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1556) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1556, _u1556, c_Groups_Otimes__class_Otimes(_u1556), _u1557, _u1558), _u1559)) | ~hBOOL(hAPP(hAPP(c_member(_u1556), _u1560), _u1558)) | hBOOL(hAPP(hAPP(c_member(_u1556), _u1557), _u1558)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1556, _u1556, c_Groups_Otimes__class_Otimes(_u1556), _u1560, hAPP(hAPP(c_Set_Oinsert(_u1556), _u1557), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1556, tc_HOL_Obool)), _u1558), hAPP(hAPP(c_Set_Oinsert(_u1556), _u1560), c_Orderings_Obot__class_Obot(tc_fun(_u1556, tc_HOL_Obool)))))), _u1559)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1562) | ~c_Fun_Oinj__on(_u1563, _u1564, _u1565, _u1566) | ( _u1567 != hAPP(c_Set_Oimage(_u1563, _u1564, _u1565), _u1566)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1564, _u1562), _u1569), _u1567) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1563, _u1562), _u1568), _u1566)) | hBOOL(hAPP(hAPP(c_member(_u1563), skolem35(_u1569, _u1568, _u1567, _u1566, _u1565, _u1564, _u1563, _u1562)), _u1566)) )).
% 12.17/12.37 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1562) | ~c_Fun_Oinj__on(_u1563, _u1564, _u1565, _u1566) | ( _u1567 != hAPP(c_Set_Oimage(_u1563, _u1564, _u1565), _u1566)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1564, _u1562), _u1569), _u1567) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1563, _u1562), _u1568), _u1566)) | ( hAPP(_u1568, skolem35(_u1569, _u1568, _u1567, _u1566, _u1565, _u1564, _u1563, _u1562)) != hAPP(_u1569, hAPP(_u1565, skolem35(_u1569, _u1568, _u1567, _u1566, _u1565, _u1564, _u1563, _u1562)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), _u1576), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1578), _u1580))) | ~hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), _u1576), _u1580)) )).
% 12.17/12.37 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), _u1576), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1578), _u1580))) | hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1580)) | ~hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1574, tc_HOL_Obool)), _u1576), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1578), c_Orderings_Obot__class_Obot(tc_fun(_u1574, tc_HOL_Obool))))), _u1580)) )).
% 12.17/12.37 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), _u1576), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1578), _u1580))) | hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1580)) | hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1574, tc_HOL_Obool)), _u1576), _u1580)) )).
% 12.17/12.37 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1581)) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) )).
% 12.17/12.37 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), c_Orderings_Obot__class_Obot(tc_fun(_u1575, tc_HOL_Obool))))), _u1581)) | ~hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1577)) )).
% 12.17/12.37 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), c_Orderings_Obot__class_Obot(tc_fun(_u1575, tc_HOL_Obool))))), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) )).
% 12.17/12.37 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) | ~hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1581)) )).
% 12.17/12.37 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) )).
% 12.17/12.37 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), c_Orderings_Obot__class_Obot(tc_fun(_u1575, tc_HOL_Obool))))), _u1581)) | ~hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1577)) )).
% 12.17/12.37 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), c_Orderings_Obot__class_Obot(tc_fun(_u1575, tc_HOL_Obool))))), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1583), _u1587)) | ( hAPP(hAPP(_u1586, _u1588), _u1587) = _u1585) | ~c_Big__Operators_Ocomm__monoid__big(_u1582, _u1583, _u1584, _u1585, _u1586) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u1589) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1589, tc_HOL_Obool)), _u1590), _u1591)) | ( _u1590 = c_Orderings_Obot__class_Obot(tc_fun(_u1589, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1589), _u1591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1589), c_Big__Operators_Olinorder__class_OMax(_u1589, _u1590)), c_Big__Operators_Olinorder__class_OMax(_u1589, _u1591))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u1592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1592, tc_HOL_Obool)), _u1593), _u1594)) | ( _u1593 = c_Orderings_Obot__class_Obot(tc_fun(_u1592, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1592), _u1594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1592), c_Big__Operators_Olinorder__class_OMin(_u1592, _u1594)), c_Big__Operators_Olinorder__class_OMin(_u1592, _u1593))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__nonempty__imp__fold1Set ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__nonempty__imp__fold1Set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1596), _u1597)) | ( _u1597 = c_Orderings_Obot__class_Obot(tc_fun(_u1596, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1596, _u1598, _u1597), skolem36(_u1598, _u1597, _u1596))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1599) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), _u1600), _u1601)), _u1602) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), _u1600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), _u1601), _u1602))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1603) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), _u1605)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), _u1605)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1606) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1607), _u1607) = _u1607) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1608) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1608), _u1609), _u1609) = _u1609) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1610), _u1611), _u1612)) | ( _u1611 = _u1612) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1610), _u1612), _u1611)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u1613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1613), _u1614), _u1615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1613), _u1615), _u1614)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1616), _u1617), _u1618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1616), _u1619), _u1617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1616), _u1619), _u1618)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1620), _u1621), _u1622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1620), _u1622), _u1623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1620), _u1621), _u1623)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1624), _u1625), _u1626)) | ( _u1625 != _u1627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1624), _u1627), _u1626)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1628) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1628), _u1629), _u1630)) | ( _u1630 != _u1631) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1628), _u1629), _u1631)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1632) | ( _u1633 != _u1634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1632), _u1635), _u1634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1632), _u1635), _u1633)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u1636) | ( _u1637 != _u1638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1636), _u1638), _u1639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1636), _u1637), _u1639)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u1640) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1641), _u1642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1642), _u1641)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1644), _u1645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1645), _u1644)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u1646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1646), _u1647), _u1648)) | ( _u1648 != _u1647) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u1649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), _u1651)) | ( _u1650 != _u1651) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u1652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), _u1653), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), _u1654), _u1653)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u1655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1656), _u1657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1657), _u1656)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u1658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1659), _u1660)) | ( _u1659 != _u1660) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u1661) | ( _u1662 = _u1663) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1662), _u1663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1663), _u1662)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u1664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1665), _u1666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1666), _u1665)) | ( _u1666 = _u1665) )).
% 12.17/12.37 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u1664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1665), _u1666)) | ( _u1666 != _u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1666), _u1665)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1667) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1668), _u1669)) | ( _u1668 = _u1669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1669), _u1668)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u1670) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1671), _u1672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1672), _u1671)) | ( _u1671 = _u1672) )).
% 12.17/12.37 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u1670) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1671), _u1672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1672), _u1671)) )).
% 12.17/12.37 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u1670) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1671), _u1672)) | ( _u1671 != _u1672) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1673) | ( _u1674 = _u1675) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1674)) )).
% 12.17/12.37 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1673) | ( _u1674 != _u1675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1675)) )).
% 12.17/12.37 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u1673) | ( _u1674 != _u1675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1674)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u1676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), _u1677), _u1677)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1678, tc_HOL_Obool)), _u1679), _u1680)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1678, tc_HOL_Obool)), _u1680), _u1681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1678, tc_HOL_Obool)), _u1679), _u1681)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u1682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1683, _u1682)), _u1684), _u1685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, _u1682)), _u1684), _u1685)) )).
% 12.17/12.37 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u1682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1683, _u1682)), _u1684), _u1685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, _u1682)), _u1685), _u1684)) )).
% 12.17/12.37 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u1682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, _u1682)), _u1684), _u1685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, _u1682)), _u1685), _u1684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1683, _u1682)), _u1684), _u1685)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u1686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1686), _u1687), _u1688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), _u1689), _u1687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), _u1689), _u1688)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1690), _u1691), _u1692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1690), _u1692), _u1693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1690), _u1691), _u1693)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u1694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1694), _u1695), _u1696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1694), _u1697), _u1695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1694), _u1697), _u1696)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1698), _u1699), _u1700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1698), _u1700), _u1701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1698), _u1699), _u1701)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u1702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1702), _u1703), _u1704)) | ( _u1704 = _u1703) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1702), _u1703), _u1704)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u1705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1705), _u1706), _u1707)) | ( _u1706 = _u1707) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1705), _u1706), _u1707)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u1708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1708), _u1709), _u1710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1708), _u1709), _u1710)) | ( _u1709 = _u1710) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u1711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1711), _u1712), _u1713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1711), _u1712), _u1713)) | ( _u1712 = _u1713) )).
% 12.17/12.37 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u1711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1711), _u1712), _u1713)) | ( _u1712 != _u1713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1711), _u1712), _u1713)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u1714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1714), _u1715), _u1716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1714), _u1715), _u1716)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_leD ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u1717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1717), _u1718), _u1719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1717), _u1719), _u1718)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u1720) | ( _u1721 = _u1722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1720), _u1722), _u1721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1720), _u1722), _u1721)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u1723) | ( _u1724 = _u1725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1723), _u1724), _u1725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1723), _u1724), _u1725)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u1726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1726), _u1727), _u1728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1726), _u1727), _u1728)) | ( _u1727 = _u1728) )).
% 12.17/12.37 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u1726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1726), _u1727), _u1728)) | ( _u1727 != _u1728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1726), _u1727), _u1728)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u1729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1729), _u1730), _u1731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1729), _u1731), _u1730)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_leI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u1732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1732), _u1733), _u1734)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1732), _u1734), _u1733)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u1735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1735), _u1736), _u1737)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1735), _u1736), _u1737)) | ( _u1736 = _u1737) )).
% 12.17/12.37 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u1735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1735), _u1736), _u1737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1735), _u1736), _u1737)) )).
% 12.17/12.37 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u1735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1735), _u1736), _u1737)) | ( _u1736 != _u1737) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u1738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1738), _u1739), _u1740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1738), _u1739), _u1740)) )).
% 12.17/12.37 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u1738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1738), _u1739), _u1740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1738), _u1740), _u1739)) )).
% 12.17/12.37 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u1738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1738), _u1739), _u1740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1738), _u1740), _u1739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1738), _u1739), _u1740)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u1741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1741), _u1742), _u1743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1741), _u1742), _u1743)) )).
% 12.17/12.37 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u1741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1741), _u1742), _u1743)) | ( _u1742 != _u1743) )).
% 12.17/12.37 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u1741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1741), _u1742), _u1743)) | ( _u1742 = _u1743) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1741), _u1742), _u1743)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1744), _u1745), _u1746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1744), _u1746), _u1745)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u1747) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1747), _u1748), _u1749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1747), _u1749), _u1748)) )).
% 12.17/12.37 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u1747) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1747), _u1749), _u1748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1747), _u1748), _u1749)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u1750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1750), _u1751), _u1752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1750), _u1752), _u1751)) )).
% 12.17/12.37 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u1750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1750), _u1752), _u1751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1750), _u1751), _u1752)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1753, tc_HOL_Obool)), _u1754), _u1755)) | ~hBOOL(hAPP(hAPP(c_member(_u1753), _u1756), _u1754)) | hBOOL(hAPP(hAPP(c_member(_u1753), _u1756), _u1755)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1757), _u1758), _u1759)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1757), _u1760), _u1759))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), _u1758), _u1760)) )).
% 12.17/12.37 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), _u1758), _u1760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1757), _u1758), _u1759)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1757), _u1760), _u1759))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1761), _u1762), _u1763)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1761), _u1762), _u1764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1761), _u1763), _u1764)) )).
% 12.17/12.37 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1761), _u1763), _u1764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1761), _u1762), _u1763)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1761), _u1762), _u1764))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), _u1766), _u1767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1765), _u1766), _u1768)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1765), _u1767), _u1768))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1769), _u1770), _u1771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1769), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1769), _u1772), _u1770)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1769), _u1772), _u1771))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), _u1774), _u1775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), _u1776), _u1777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), _u1774), _u1776)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), _u1775), _u1777))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1778), _u1779), _u1780)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1778), _u1781), _u1780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1778), _u1779), _u1781)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1782), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1782), _u1783), _u1784)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1782), _u1783), _u1785))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1782), _u1784), _u1785)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1786, tc_HOL_Obool)), _u1787), c_Orderings_Obot__class_Obot(tc_fun(_u1786, tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1788) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1788), _u1789), _u1790) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1788), _u1791), _u1792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1788), _u1789), _u1790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1788), _u1791), _u1792)) )).
% 12.17/12.37 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1788) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1788), _u1789), _u1790) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1788), _u1791), _u1792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1788), _u1791), _u1792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1788), _u1789), _u1790)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1793, tc_HOL_Obool)), _u1794), _u1795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1793, tc_HOL_Obool)), _u1795), _u1796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1793, tc_HOL_Obool)), _u1794), _u1796)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1797, tc_HOL_Obool)), _u1798), _u1799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1797, tc_HOL_Obool)), _u1799), _u1800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1797, tc_HOL_Obool)), _u1798), _u1800)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1801, tc_HOL_Obool)), _u1802), _u1803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1801, tc_HOL_Obool)), _u1802), _u1803)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1807, tc_HOL_Obool)), _u1809), _u1811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1807, tc_HOL_Obool)), _u1809), _u1811)) | ( _u1809 = _u1811) )).
% 12.17/12.37 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1808, tc_HOL_Obool)), _u1810), _u1812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1808, tc_HOL_Obool)), _u1810), _u1812)) )).
% 12.17/12.37 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1808, tc_HOL_Obool)), _u1810), _u1812)) | ( _u1810 != _u1812) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1816, tc_HOL_Obool)), _u1818), _u1820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1816, tc_HOL_Obool)), _u1818), _u1820)) )).
% 12.17/12.37 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1816, tc_HOL_Obool)), _u1818), _u1820)) | ( _u1818 != _u1820) )).
% 12.17/12.37 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1817, tc_HOL_Obool)), _u1819), _u1821)) | ( _u1819 = _u1821) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1817, tc_HOL_Obool)), _u1819), _u1821)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1822) | c_Finite__Set_Ofun__left__comm(_u1822, _u1822, c_Groups_Otimes__class_Otimes(_u1822)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1823) | c_Finite__Set_Ofun__left__comm__idem(_u1823, _u1823, c_Groups_Otimes__class_Otimes(_u1823)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u1824) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1824), _u1825), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1826, _u1824), _u1827), _u1828)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1826, _u1824), hAPP(hAPP(c_COMBB(_u1824, _u1824, _u1826), hAPP(c_Groups_Otimes__class_Otimes(_u1824), _u1825)), _u1827)), _u1828)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u1829) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1829), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1830, _u1829), _u1831), _u1832)), _u1833) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1830, _u1829), hAPP(hAPP(c_COMBC(_u1830, _u1829, _u1829), hAPP(hAPP(c_COMBB(_u1829, tc_fun(_u1829, _u1829), _u1830), c_Groups_Otimes__class_Otimes(_u1829)), _u1831)), _u1833)), _u1832)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u1834) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1834), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1835, _u1834), _u1836), _u1837)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1838, _u1834), _u1839), _u1840)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1835, _u1834), hAPP(hAPP(c_COMBC(_u1835, tc_fun(_u1838, tc_HOL_Obool), _u1834), hAPP(hAPP(c_COMBB(tc_fun(_u1838, _u1834), tc_fun(tc_fun(_u1838, tc_HOL_Obool), _u1834), _u1835), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1838, _u1834)), hAPP(hAPP(c_COMBC(_u1835, tc_fun(_u1838, _u1834), tc_fun(_u1838, _u1834)), hAPP(hAPP(c_COMBB(tc_fun(_u1834, _u1834), tc_fun(tc_fun(_u1838, _u1834), tc_fun(_u1838, _u1834)), _u1835), c_COMBB(_u1834, _u1834, _u1838)), hAPP(hAPP(c_COMBB(_u1834, tc_fun(_u1834, _u1834), _u1835), c_Groups_Otimes__class_Otimes(_u1834)), _u1836))), _u1839))), _u1840)), _u1837)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1841), _u1842), _u1843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1844), _u1845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1841), _u1842), _u1844)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1841), _u1843), _u1845))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1846), _u1847), _u1848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1846), _u1849), _u1850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1846), _u1847), _u1849)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1846), _u1848), _u1850))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u1851, _u1852, _u1853, _u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1851, tc_HOL_Obool)), _u1855), _u1854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1852, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1851, _u1852, _u1853), _u1855)), hAPP(c_Set_Oimage(_u1851, _u1852, _u1853), _u1854))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u1856) | ( c_Big__Operators_Olinorder__class_OMin(_u1856, hAPP(hAPP(c_Set_Oinsert(_u1856), _u1857), c_Orderings_Obot__class_Obot(tc_fun(_u1856, tc_HOL_Obool)))) = _u1857) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u1858) | ( c_Big__Operators_Olinorder__class_OMax(_u1858, hAPP(hAPP(c_Set_Oinsert(_u1858), _u1859), c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool)))) = _u1859) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1860) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1860, _u1860, c_Groups_Otimes__class_Otimes(_u1860), _u1861, _u1862), _u1863)) | hBOOL(hAPP(hAPP(c_member(_u1860), _u1861), _u1862)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1860, _u1860, c_Groups_Otimes__class_Otimes(_u1860), _u1864, hAPP(hAPP(c_Set_Oinsert(_u1860), _u1861), _u1862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1860), _u1864), _u1863))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u1865) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1865), _u1866)) | ~hBOOL(hAPP(hAPP(c_member(_u1865), _u1867), _u1866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1865), c_Big__Operators_Olinorder__class_OMin(_u1865, _u1866)), _u1867)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u1868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1868), _u1869)) | ~hBOOL(hAPP(hAPP(c_member(_u1868), _u1870), _u1869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1868), _u1870), c_Big__Operators_Olinorder__class_OMax(_u1868, _u1869))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u1871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1871), _u1872)) | ( _u1872 = c_Orderings_Obot__class_Obot(tc_fun(_u1871, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1871), c_Big__Operators_Olinorder__class_OMin(_u1871, _u1872)), _u1872)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u1873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1873), _u1874)) | ( _u1874 = c_Orderings_Obot__class_Obot(tc_fun(_u1873, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1873), c_Big__Operators_Olinorder__class_OMax(_u1873, _u1874)), _u1874)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u1875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), _u1876), _u1877)), _u1878)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), _u1879), _u1877)), _u1880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1878), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1879), _u1876)), _u1877)), _u1880))) )).
% 12.17/12.37 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u1875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1878), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1879), _u1876)), _u1877)), _u1880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), _u1876), _u1877)), _u1878)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), _u1879), _u1877)), _u1880))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u1881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), _u1882), _u1883)), _u1884)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), _u1885), _u1883)), _u1886))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1881), _u1882), _u1885)), _u1883)), _u1884)), _u1886)) )).
% 12.17/12.37 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u1881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1881), _u1882), _u1885)), _u1883)), _u1884)), _u1886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), _u1882), _u1883)), _u1884)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), _u1885), _u1883)), _u1886))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u1887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), _u1888), _u1889)), _u1890)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), _u1891), _u1889)), _u1892))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), _u1890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1887), _u1891), _u1888)), _u1889)), _u1892))) )).
% 12.17/12.37 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u1887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), _u1890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1887), _u1891), _u1888)), _u1889)), _u1892))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), _u1888), _u1889)), _u1890)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), _u1891), _u1889)), _u1892))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u1893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), _u1894), _u1895)), _u1896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), _u1897), _u1895)), _u1898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1893), _u1894), _u1897)), _u1895)), _u1896)), _u1898)) )).
% 12.17/12.37 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u1893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1893), _u1894), _u1897)), _u1895)), _u1896)), _u1898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), _u1894), _u1895)), _u1896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), _u1897), _u1895)), _u1898))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u1899) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1900), _u1901)), _u1902) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1903), _u1901)), _u1904)) | ( _u1902 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1899), _u1903), _u1900)), _u1901)), _u1904)) )).
% 12.17/12.37 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u1899) | ( _u1902 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1899), _u1903), _u1900)), _u1901)), _u1904)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1900), _u1901)), _u1902) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1903), _u1901)), _u1904)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u1905) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), _u1906), _u1907)), _u1908) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), _u1909), _u1907)), _u1910)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1905), _u1906), _u1909)), _u1907)), _u1908) = _u1910) )).
% 12.17/12.37 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u1905) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1905), _u1906), _u1909)), _u1907)), _u1908) != _u1910) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), _u1906), _u1907)), _u1908) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), _u1909), _u1907)), _u1910)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1911) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1911), _u1912), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1911), _u1913), _u1914)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1911), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1911), _u1912), _u1913)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1911), _u1912), _u1914))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1915) | ( _u1916 = _u1917) | ( _u1918 = _u1919) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1919)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1919)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1918))) )).
% 12.17/12.37 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1915) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1919)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1919)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1918))) | ( _u1916 != _u1917) )).
% 12.17/12.37 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1915) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1919)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1919)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1918))) | ( _u1918 != _u1919) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u1920) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1920), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1920), _u1921), _u1922)), _u1923) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1920), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1920), _u1921), _u1923)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1920), _u1922), _u1923))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1924) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1924), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1924), _u1925), _u1926)), _u1927) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1924), _u1925), _u1927)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1924), _u1926), _u1927))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u1928) | ( _u1929 = _u1930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), _u1929), _u1930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), _u1930), _u1929)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1931) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1933)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1934), _u1935)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1934)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1933), _u1935))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1936) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1936), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1936), _u1937), _u1938)), _u1939) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1936), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1936), _u1937), _u1939)), _u1938)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1940) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1940), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1940), _u1941), _u1942)), _u1943) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1940), _u1941), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1940), _u1942), _u1943))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1944) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1944), _u1945), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1944), _u1946), _u1947)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1944), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1944), _u1945), _u1946)), _u1947)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1948) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1948), _u1949), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1948), _u1950), _u1951)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1948), _u1950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1948), _u1949), _u1951))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1952) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1952), _u1953), _u1954) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1952), _u1954), _u1953)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1955) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1956), _u1957)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1958), _u1959)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1956), _u1958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1957), _u1959))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1960) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1961), _u1962)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1963), _u1964)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1961), _u1962)), _u1964))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1965) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1966), _u1967)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1968), _u1969)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1967), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1968), _u1969)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1970) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1970), _u1971), _u1972)), _u1973) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1970), _u1971), _u1973)), _u1972)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1974) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), _u1975), _u1976)), _u1977) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), _u1975), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), _u1976), _u1977))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1979), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1980), _u1981)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1979), _u1980)), _u1981)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1982) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1984), _u1985)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), _u1985))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1986) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1988) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1988), _u1987)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1989) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1993)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1991))) | ( _u1990 = _u1992) | ( _u1991 = _u1993) )).
% 12.17/12.37 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1989) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1993)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1991))) | ( _u1990 != _u1992) )).
% 12.17/12.37 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1989) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1993)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1991))) | ( _u1991 != _u1993) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u1994) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1994), _u1995), _u1996)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1994), _u1997), _u1996)), _u1998)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1994), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1994), _u1995), _u1997)), _u1996)), _u1998)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1999) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1999), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1999), _u2000), _u2001)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1999), _u2002), _u2001)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1999), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1999), _u2000), _u2002)), _u2001)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2004) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2004) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2005), _u2006)) | ( _u2006 = c_Orderings_Obot__class_Obot(tc_fun(_u2005, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2004), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2005, _u2004), _u2007), _u2006)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2005, _u2004), _u2008), _u2006))) | hBOOL(hAPP(hAPP(c_member(_u2005), skolem37(_u2008, _u2007, _u2006, _u2005, _u2004)), _u2006)) )).
% 12.17/12.37 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2004) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2004) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2005), _u2006)) | ( _u2006 = c_Orderings_Obot__class_Obot(tc_fun(_u2005, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2004), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2005, _u2004), _u2007), _u2006)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2005, _u2004), _u2008), _u2006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2004), hAPP(_u2007, skolem37(_u2008, _u2007, _u2006, _u2005, _u2004))), hAPP(_u2008, skolem37(_u2008, _u2007, _u2006, _u2005, _u2004)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u2009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2009), _u2010)) | ~hBOOL(hAPP(hAPP(c_member(_u2009), _u2011), _u2010)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2009, tc_HOL_Obool)), _u2010), hAPP(hAPP(c_Set_Oinsert(_u2009), _u2011), c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2009, _u2010) = _u2011) )).
% 12.17/12.37 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u2009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2009), _u2010)) | ~hBOOL(hAPP(hAPP(c_member(_u2009), _u2011), _u2010)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2009, tc_HOL_Obool)), _u2010), hAPP(hAPP(c_Set_Oinsert(_u2009), _u2011), c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2009, _u2010) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2009), _u2011), c_Big__Operators_Olinorder__class_OMin(_u2009, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2009, tc_HOL_Obool)), _u2010), hAPP(hAPP(c_Set_Oinsert(_u2009), _u2011), c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u2012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2012), _u2013)) | ~hBOOL(hAPP(hAPP(c_member(_u2012), _u2014), _u2013)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2012, tc_HOL_Obool)), _u2013), hAPP(hAPP(c_Set_Oinsert(_u2012), _u2014), c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2012, _u2013) = _u2014) )).
% 12.17/12.37 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u2012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2012), _u2013)) | ~hBOOL(hAPP(hAPP(c_member(_u2012), _u2014), _u2013)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2012, tc_HOL_Obool)), _u2013), hAPP(hAPP(c_Set_Oinsert(_u2012), _u2014), c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2012, _u2013) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2012), _u2014), c_Big__Operators_Olinorder__class_OMax(_u2012, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2012, tc_HOL_Obool)), _u2013), hAPP(hAPP(c_Set_Oinsert(_u2012), _u2014), c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2015), _u2016)) | hBOOL(hAPP(hAPP(c_member(_u2015), _u2017), _u2016)) | ( hAPP(c_Finite__Set_Ofold1(_u2015, c_Groups_Otimes__class_Otimes(_u2015)), hAPP(hAPP(c_Set_Oinsert(_u2015), _u2017), _u2016)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2015, _u2015, c_Groups_Otimes__class_Otimes(_u2015)), _u2017), _u2016)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2018) | ( _u2019 = c_Orderings_Obot__class_Obot(tc_fun(_u2018, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2018), _u2019)) | hBOOL(hAPP(hAPP(c_member(_u2018), _u2020), _u2019)) | ( hAPP(c_Finite__Set_Ofold1(_u2018, c_Groups_Otimes__class_Otimes(_u2018)), hAPP(hAPP(c_Set_Oinsert(_u2018), _u2020), _u2019)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2018), _u2020), hAPP(c_Finite__Set_Ofold1(_u2018, c_Groups_Otimes__class_Otimes(_u2018)), _u2019))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2022), _u2023)) | ~hBOOL(hAPP(hAPP(c_member(_u2022), _u2024), _u2023)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2022, _u2021), _u2025), _u2023) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2021), hAPP(_u2025, _u2024)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2022, _u2021), _u2025), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2022, tc_HOL_Obool)), _u2023), hAPP(hAPP(c_Set_Oinsert(_u2022), _u2024), c_Orderings_Obot__class_Obot(tc_fun(_u2022, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u2027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2027), _u2028)) | ~hBOOL(hAPP(hAPP(c_member(_u2027), _u2029), _u2028)) | ( c_Big__Operators_Olinorder__class_OMin(_u2027, _u2028) = _u2029) | hBOOL(hAPP(hAPP(c_member(_u2027), skolem38(_u2029, _u2028, _u2027)), _u2028)) )).
% 12.17/12.37 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u2027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2027), _u2028)) | ~hBOOL(hAPP(hAPP(c_member(_u2027), _u2029), _u2028)) | ( c_Big__Operators_Olinorder__class_OMin(_u2027, _u2028) = _u2029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2027), _u2029), skolem38(_u2029, _u2028, _u2027))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u2031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2031), _u2032)) | ~hBOOL(hAPP(hAPP(c_member(_u2031), _u2033), _u2032)) | ( c_Big__Operators_Olinorder__class_OMax(_u2031, _u2032) = _u2033) | hBOOL(hAPP(hAPP(c_member(_u2031), skolem39(_u2033, _u2032, _u2031)), _u2032)) )).
% 12.17/12.37 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u2031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2031), _u2032)) | ~hBOOL(hAPP(hAPP(c_member(_u2031), _u2033), _u2032)) | ( c_Big__Operators_Olinorder__class_OMax(_u2031, _u2032) = _u2033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2031), skolem39(_u2033, _u2032, _u2031)), _u2033)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2034), _u2035)) | ( _u2035 = c_Orderings_Obot__class_Obot(tc_fun(_u2034, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2034), c_Big__Operators_Olinorder__class_OMax(_u2034, _u2035)) = c_Big__Operators_Olinorder__class_OMin(_u2034, hAPP(c_Set_Oimage(_u2034, _u2034, c_Groups_Ouminus__class_Ouminus(_u2034)), _u2035))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2036) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2036), _u2037)) | ( _u2037 = c_Orderings_Obot__class_Obot(tc_fun(_u2036, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), c_Big__Operators_Olinorder__class_OMin(_u2036, _u2037)) = c_Big__Operators_Olinorder__class_OMax(_u2036, hAPP(c_Set_Oimage(_u2036, _u2036, c_Groups_Ouminus__class_Ouminus(_u2036)), _u2037))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2038), _u2039), _u2040)) | hBOOL(hAPP(hAPP(c_member(_u2038), _u2039), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2038, tc_HOL_Obool)), _u2040))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2041) | c_Fun_Oinj__on(_u2041, _u2041, c_Groups_Ouminus__class_Ouminus(_u2041), _u2042) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u2043) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2044) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2045)) | ( _u2044 = _u2045) )).
% 12.17/12.37 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u2043) | ( _u2044 != _u2045) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2044) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2045)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u2046) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2046), _u2047) != _u2048) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2046), _u2048) = _u2047) )).
% 12.17/12.37 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u2046) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2046), _u2048) != _u2047) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2046), _u2047) = _u2048) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u2049) | ( _u2050 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2049), _u2051)) | ( _u2051 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2049), _u2050)) )).
% 12.17/12.37 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u2049) | ( _u2051 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2049), _u2050)) | ( _u2050 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2049), _u2051)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2052) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2052), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2052), _u2053), _u2054)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2052), hAPP(c_Groups_Ouminus__class_Ouminus(_u2052), _u2053)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2052), _u2054))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2055) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2055), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2055), _u2056), _u2057)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2055), hAPP(c_Groups_Ouminus__class_Ouminus(_u2055), _u2056)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2055), _u2057))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u2058) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2058), hAPP(c_Groups_Ouminus__class_Ouminus(_u2058), _u2059)) = _u2059) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u2060) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2060), _u2061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2060), _u2062), _u2063))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2060), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2060), _u2061), _u2062)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2060), _u2061), _u2063)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u2064) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2064), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2064), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2064), _u2065), _u2066)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2064), _u2065), _u2067))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2064), _u2065), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2064), _u2066), _u2067)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u2068) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2068), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2068), _u2069), _u2070)), _u2071) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2068), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2068), _u2069), _u2071)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2068), _u2070), _u2071))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u2072) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2072), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2072), _u2073), _u2074)), _u2075) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2072), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2072), _u2073), _u2075)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2072), _u2074), _u2075))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u2076) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2076), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2076), _u2077), _u2078)), _u2079) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2076), _u2077), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2076), _u2078), _u2079))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u2080) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2080), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2080), _u2081), _u2082)), _u2083) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2080), _u2081), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2080), _u2082), _u2083))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u2084) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2084), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2084), _u2085), _u2086)), _u2087) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2084), _u2085), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2084), _u2086), _u2087))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u2088) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2088), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2088), _u2089), _u2090)), _u2091) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2088), _u2089), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2088), _u2090), _u2091))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2092) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2092), _u2093) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2092), _u2094)) | ( _u2093 = _u2094) )).
% 12.17/12.37 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u2092) | ( _u2093 != _u2094) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2092), _u2093) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2092), _u2094)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u2095) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2095), _u2096), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2095), _u2097), _u2098)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2095), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2095), _u2096), _u2097)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2095), _u2096), _u2098))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u2099) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2099), _u2100), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2099), _u2101), _u2102)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2099), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2099), _u2100), _u2101)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2099), _u2100), _u2102))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2103) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2103), _u2104), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2103), _u2105), _u2106)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2103), _u2105), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2103), _u2104), _u2106))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2107) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2107), _u2108), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2107), _u2109), _u2110)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2107), _u2109), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2107), _u2108), _u2110))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2111) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2111), _u2112), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2111), _u2113), _u2114)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2111), _u2113), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2111), _u2112), _u2114))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2115) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2115), _u2116), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2115), _u2117), _u2118)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2115), _u2117), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2115), _u2116), _u2118))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2119) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2119), _u2120), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2119), _u2120), _u2121)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2119), _u2120), _u2121)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2122) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2122), _u2123), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2122), _u2123), _u2124)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2122), _u2123), _u2124)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2125) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2125), _u2126), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2125), _u2126), _u2127)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2125), _u2126), _u2127)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2128) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2128), _u2129), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2128), _u2129), _u2130)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2128), _u2129), _u2130)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u2131) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2131), _u2132), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2131), _u2132), _u2133)) = _u2132) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u2134) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2134), _u2135), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2134), _u2135), _u2136)) = _u2135) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2137) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2137), _u2138), _u2139) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2137), _u2139), _u2138)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u2140) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2140), _u2141), _u2142) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2140), _u2142), _u2141)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2143) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2143), _u2144), _u2145) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2143), _u2145), _u2144)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u2146) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2146), _u2147), _u2148) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2146), _u2148), _u2147)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u2149) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2150, _u2149)), _u2151), _u2152) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2149), hAPP(_u2151, _u2152))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u2153) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2153), _u2154), _u2154) = _u2154) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u2155) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2155), _u2156), _u2156) = _u2156) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2157) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2157), hAPP(c_Groups_Ouminus__class_Ouminus(_u2157), _u2158)) = _u2158) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u2159) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2160, _u2159)), _u2161), _u2162) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2159), hAPP(_u2161, _u2162))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u2163) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2163), _u2164), _u2164) = _u2164) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u2165) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2165), _u2166), _u2166) = _u2166) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u2167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2167), _u2168), _u2169)), _u2170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), _u2168), _u2170)) )).
% 12.17/12.37 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u2167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2167), _u2168), _u2169)), _u2170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), _u2169), _u2170)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u2171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2171), _u2172), _u2173)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2171), _u2174), _u2175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2171), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2171), _u2172), _u2174)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2171), _u2173), _u2175))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u2176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2176), _u2177), _u2178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2176), _u2179), _u2178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2176), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2176), _u2177), _u2179)), _u2178)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u2180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2180), _u2181), _u2182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2180), _u2183), _u2182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2180), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2180), _u2181), _u2183)), _u2182)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u2184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2185), _u2186)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2184), _u2186), _u2185) = _u2186) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u2187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2187), _u2188), _u2189)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2187), _u2188), _u2189) = _u2189) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u2190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2190), _u2191), _u2192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2190), _u2191), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2190), _u2193), _u2192))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u2194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2195), _u2196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2195), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2194), _u2196), _u2197))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2198), _u2199), _u2200)), _u2201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), _u2199), _u2201)) )).
% 12.17/12.37 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2198), _u2199), _u2200)), _u2201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), _u2200), _u2201)) )).
% 12.17/12.37 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), _u2199), _u2201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), _u2200), _u2201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2198), _u2199), _u2200)), _u2201)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u2202) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2202), _u2203), _u2204)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2202), _u2203), _u2204) = _u2204) )).
% 12.17/12.37 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u2202) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2202), _u2203), _u2204) != _u2204) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2202), _u2203), _u2204)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u2205) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), _u2206), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2205), _u2207), _u2206))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u2208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), _u2209), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2208), _u2209), _u2210))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u2211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2211), _u2213), _u2214))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), _u2213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), _u2214)) )).
% 12.17/12.37 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u2211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2211), _u2213), _u2214))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), _u2213)) )).
% 12.17/12.37 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u2211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2211), _u2213), _u2214))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), _u2214)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2215), _u2216), _u2217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2215), hAPP(c_Groups_Ouminus__class_Ouminus(_u2215), _u2217)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2215), _u2216))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2218), hAPP(c_Groups_Ouminus__class_Ouminus(_u2218), _u2219)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2218), _u2220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2218), _u2220), _u2219)) )).
% 12.17/12.37 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u2218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2218), _u2220), _u2219)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2218), hAPP(c_Groups_Ouminus__class_Ouminus(_u2218), _u2219)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2218), _u2220))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2221), _u2222), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2223))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2221), _u2223), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2222))) )).
% 12.17/12.37 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2221), _u2223), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2222))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2221), _u2222), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2223))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2224), hAPP(c_Groups_Ouminus__class_Ouminus(_u2224), _u2225)), _u2226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2224), hAPP(c_Groups_Ouminus__class_Ouminus(_u2224), _u2226)), _u2225)) )).
% 12.17/12.37 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2224), hAPP(c_Groups_Ouminus__class_Ouminus(_u2224), _u2226)), _u2225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2224), hAPP(c_Groups_Ouminus__class_Ouminus(_u2224), _u2225)), _u2226)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2228)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2229))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2229), _u2228)) )).
% 12.17/12.37 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2229), _u2228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2228)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2229))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), _u2231), _u2232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), hAPP(c_Groups_Ouminus__class_Ouminus(_u2230), _u2232)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2230), _u2231))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u2233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2233), _u2234), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2233), _u2235), _u2236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2233), _u2234), _u2235)) )).
% 12.17/12.37 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u2233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2233), _u2234), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2233), _u2235), _u2236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2233), _u2234), _u2236)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u2237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2237), _u2238), _u2239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2237), _u2240), _u2241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2237), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2237), _u2238), _u2240)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2237), _u2239), _u2241))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u2242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2242), _u2243), _u2244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2242), _u2243), _u2245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2242), _u2243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2242), _u2244), _u2245))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u2246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2246), _u2247), _u2248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2246), _u2247), _u2249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2246), _u2247), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2246), _u2248), _u2249))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u2250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2250), _u2251), _u2252)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2250), _u2252), _u2251) = _u2251) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u2253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2253), _u2254), _u2255)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2253), _u2254), _u2255) = _u2254) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u2256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2256), _u2257), _u2258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2256), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2256), _u2259), _u2257)), _u2258)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u2260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), _u2261), _u2262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2260), _u2261), _u2263)), _u2262)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2264), _u2266), _u2267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2266)) )).
% 12.17/12.37 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2264), _u2266), _u2267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2267)) )).
% 12.17/12.37 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2264), _u2266), _u2267))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u2268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2268), _u2269), _u2270)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2268), _u2269), _u2270) = _u2269) )).
% 12.17/12.37 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u2268) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2268), _u2269), _u2270) != _u2269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2268), _u2269), _u2270)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u2271) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2271), _u2272), _u2273)), _u2273)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u2274) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2274), _u2275), _u2276)), _u2275)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u2277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2277), _u2278), _u2279)), _u2280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2278), _u2280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2279), _u2280)) )).
% 12.17/12.37 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u2277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2277), _u2278), _u2279)), _u2280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2278), _u2280)) )).
% 12.17/12.37 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u2277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2277), _u2278), _u2279)), _u2280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2279), _u2280)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u2281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2281), _u2282), _u2283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2281), _u2282), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2281), _u2284), _u2283))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u2285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2285), _u2286), _u2287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2285), _u2286), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2285), _u2287), _u2288))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u2289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2289), _u2290), _u2291)), _u2292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), _u2290), _u2292)) )).
% 12.17/12.37 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u2289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2289), _u2290), _u2291)), _u2292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), _u2291), _u2292)) )).
% 12.17/12.37 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u2289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), _u2290), _u2292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), _u2291), _u2292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2289), _u2290), _u2291)), _u2292)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u2293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2293), _u2295), _u2296))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), _u2295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), _u2296)) )).
% 12.17/12.37 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u2293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2293), _u2295), _u2296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), _u2295)) )).
% 12.17/12.37 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u2293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2293), _u2295), _u2296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), _u2296)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2297), hAPP(c_Groups_Ouminus__class_Ouminus(_u2297), _u2298)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2297), _u2299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2297), _u2299), _u2298)) )).
% 12.17/12.37 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2297), _u2299), _u2298)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2297), hAPP(c_Groups_Ouminus__class_Ouminus(_u2297), _u2298)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2297), _u2299))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2300), hAPP(c_Groups_Ouminus__class_Ouminus(_u2300), _u2301)), _u2302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2300), hAPP(c_Groups_Ouminus__class_Ouminus(_u2300), _u2302)), _u2301)) )).
% 12.17/12.37 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2300), hAPP(c_Groups_Ouminus__class_Ouminus(_u2300), _u2302)), _u2301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2300), hAPP(c_Groups_Ouminus__class_Ouminus(_u2300), _u2301)), _u2302)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2303), _u2304), hAPP(c_Groups_Ouminus__class_Ouminus(_u2303), _u2305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2303), _u2305), hAPP(c_Groups_Ouminus__class_Ouminus(_u2303), _u2304))) )).
% 12.17/12.37 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2303), _u2305), hAPP(c_Groups_Ouminus__class_Ouminus(_u2303), _u2304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2303), _u2304), hAPP(c_Groups_Ouminus__class_Ouminus(_u2303), _u2305))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u2306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2306), _u2307), _u2308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2306), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2306), _u2309), _u2307)), _u2308)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u2310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2310), _u2311), _u2312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2310), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2310), _u2311), _u2313)), _u2312)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u2314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2314), _u2315), _u2316)), _u2317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), _u2315), _u2317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), _u2316), _u2317)) )).
% 12.17/12.37 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u2314) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2314), _u2315), _u2316)), _u2317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), _u2315), _u2317)) )).
% 12.17/12.37 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u2314) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2314), _u2315), _u2316)), _u2317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), _u2316), _u2317)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u2318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2318), _u2320), _u2321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), _u2320)) )).
% 12.17/12.37 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u2318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2318), _u2320), _u2321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), _u2321)) )).
% 12.17/12.37 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u2318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), _u2320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2318), _u2320), _u2321))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2322) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2322), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2322), _u2323), _u2324)), _u2325) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2322), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2322), _u2323), _u2325)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2322), _u2324), _u2325))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u2326) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2326), _u2327), _u2328)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2326), hAPP(c_Groups_Ouminus__class_Ouminus(_u2326), _u2327)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2326), _u2328))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u2329) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), _u2330), _u2331)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), _u2331)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), _u2330))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u2332) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2332), _u2333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2332), hAPP(c_Groups_Ouminus__class_Ouminus(_u2332), _u2333)), _u2334)) = _u2334) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u2335) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2335), hAPP(c_Groups_Ouminus__class_Ouminus(_u2335), _u2336)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2335), _u2336), _u2337)) = _u2337) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u2338) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2338), _u2339), _u2340)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2338), _u2339), hAPP(c_Groups_Ouminus__class_Ouminus(_u2338), _u2340))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u2341) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2341), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2342), _u2343)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), hAPP(c_Groups_Ouminus__class_Ouminus(_u2341), _u2342)), _u2343)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u2344) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2344), hAPP(c_Groups_Ouminus__class_Ouminus(_u2344), _u2345)), _u2346) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2344), _u2345), hAPP(c_Groups_Ouminus__class_Ouminus(_u2344), _u2346))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u2347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2347), hAPP(c_Groups_Ouminus__class_Ouminus(_u2347), _u2348)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2347), _u2349)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2347), _u2348), _u2349)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u2350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2351), _u2351) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2352), _u2352)) | ( _u2351 = _u2352) | ( _u2351 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2350), _u2352)) )).
% 12.17/12.37 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u2350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2351), _u2351) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2352), _u2352)) | ( _u2351 != _u2352) )).
% 12.17/12.37 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u2350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2351), _u2351) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2352), _u2352)) | ( _u2351 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2350), _u2352)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2353) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2353), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2353), _u2354), _u2355)), _u2356) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2353), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2353), _u2354), _u2356)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2353), _u2355), _u2356))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2357), _u2358), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2357, tc_HOL_Obool)), _u2359))) | ~hBOOL(hAPP(hAPP(c_member(_u2357), _u2358), _u2359)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2360), _u2361), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2360, tc_HOL_Obool)), _u2362))) | ~hBOOL(hAPP(hAPP(c_member(_u2360), _u2361), _u2362)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2366), _u2368), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2366, tc_HOL_Obool)), _u2370))) | ~hBOOL(hAPP(hAPP(c_member(_u2366), _u2368), _u2370)) )).
% 12.17/12.37 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2367), _u2369), _u2371)) | hBOOL(hAPP(hAPP(c_member(_u2367), _u2369), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2367, tc_HOL_Obool)), _u2371))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u2372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2372), _u2373)) | ( c_Big__Operators_Olinorder__class_OMax(_u2372, _u2373) = hAPP(c_Finite__Set_Ofold1(_u2372, c_Orderings_Oord__class_Omax(_u2372)), _u2373)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u2374) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2374), _u2375)) | ( c_Big__Operators_Olinorder__class_OMin(_u2374, _u2375) = hAPP(c_Finite__Set_Ofold1(_u2374, c_Orderings_Oord__class_Omin(_u2374)), _u2375)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2376) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2376), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2376), _u2377), _u2378)), _u2379) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2376), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2376), _u2377), _u2379)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2376), _u2378), _u2379))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u2380) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2380), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2380), _u2381), _u2382)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2380), _u2382), _u2381)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2383) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2383), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2383), _u2384), _u2385)), _u2386) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2383), _u2384), _u2386)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2383), _u2385), _u2386))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2387, tc_HOL_Obool)), _u2388), _u2389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2387, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2387, tc_HOL_Obool)), _u2389)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2387, tc_HOL_Obool)), _u2388))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2393, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2393, tc_HOL_Obool)), _u2395)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2393, tc_HOL_Obool)), _u2397))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2393, tc_HOL_Obool)), _u2397), _u2395)) )).
% 12.17/12.37 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2394, tc_HOL_Obool)), _u2398), _u2396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2394, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2394, tc_HOL_Obool)), _u2396)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2394, tc_HOL_Obool)), _u2398))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2399) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2400, _u2399), hAPP(hAPP(c_COMBS(_u2400, _u2399, _u2399), hAPP(hAPP(c_COMBB(_u2399, tc_fun(_u2399, _u2399), _u2400), c_Groups_Otimes__class_Otimes(_u2399)), _u2401)), _u2402)), _u2403) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2399), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2400, _u2399), _u2401), _u2403)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2400, _u2399), _u2402), _u2403))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u2404) | c_Finite__Set_Ofun__left__comm__idem(_u2404, _u2404, c_Orderings_Oord__class_Omax(_u2404)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u2405) | c_Finite__Set_Ofun__left__comm__idem(_u2405, _u2405, c_Orderings_Oord__class_Omin(_u2405)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u2406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2406), _u2407)) | ~hBOOL(hAPP(hAPP(c_member(_u2406), _u2408), _u2407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2406), hAPP(c_Finite__Set_Ofold1(_u2406, c_Orderings_Oord__class_Omin(_u2406)), _u2407)), _u2408)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2411), _u2412)) | ( _u2412 = c_Orderings_Obot__class_Obot(tc_fun(_u2411, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Finite__Set_Ofold1(_u2411, c_Orderings_Oord__class_Omin(_u2411)), _u2412)), _u2413)) | hBOOL(hAPP(hAPP(c_member(_u2411), skolem40(_u2413, _u2412, _u2411)), _u2412)) )).
% 12.17/12.37 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2411), _u2412)) | ( _u2412 = c_Orderings_Obot__class_Obot(tc_fun(_u2411, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Finite__Set_Ofold1(_u2411, c_Orderings_Oord__class_Omin(_u2411)), _u2412)), _u2413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), skolem40(_u2413, _u2412, _u2411)), _u2413)) )).
% 12.17/12.37 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2411), _u2412)) | ( _u2412 = c_Orderings_Obot__class_Obot(tc_fun(_u2411, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2411), _u2410), _u2412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), _u2410), _u2413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Finite__Set_Ofold1(_u2411, c_Orderings_Oord__class_Omin(_u2411)), _u2412)), _u2413)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2416), _u2417)) | ( _u2417 = c_Orderings_Obot__class_Obot(tc_fun(_u2416, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), hAPP(c_Finite__Set_Ofold1(_u2416, c_Orderings_Oord__class_Omin(_u2416)), _u2417))) | ~hBOOL(hAPP(hAPP(c_member(_u2416), _u2414), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), _u2414)) )).
% 12.17/12.37 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2416), _u2417)) | ( _u2417 = c_Orderings_Obot__class_Obot(tc_fun(_u2416, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), hAPP(c_Finite__Set_Ofold1(_u2416, c_Orderings_Oord__class_Omin(_u2416)), _u2417))) | hBOOL(hAPP(hAPP(c_member(_u2416), skolem41(_u2418, _u2417, _u2416)), _u2417)) )).
% 12.17/12.37 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2416), _u2417)) | ( _u2417 = c_Orderings_Obot__class_Obot(tc_fun(_u2416, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), hAPP(c_Finite__Set_Ofold1(_u2416, c_Orderings_Oord__class_Omin(_u2416)), _u2417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), skolem41(_u2418, _u2417, _u2416))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u2419) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2420, _u2419), hAPP(hAPP(c_COMBB(_u2419, _u2419, _u2420), c_Groups_Ouminus__class_Ouminus(_u2419)), _u2421)), _u2422) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2419), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2420, _u2419), _u2421), _u2422))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2425), _u2426)) | ( _u2426 = c_Orderings_Obot__class_Obot(tc_fun(_u2425, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), hAPP(c_Finite__Set_Ofold1(_u2425, c_Orderings_Oord__class_Omin(_u2425)), _u2426)), _u2427)) | hBOOL(hAPP(hAPP(c_member(_u2425), skolem42(_u2427, _u2426, _u2425)), _u2426)) )).
% 12.17/12.37 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2425), _u2426)) | ( _u2426 = c_Orderings_Obot__class_Obot(tc_fun(_u2425, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), hAPP(c_Finite__Set_Ofold1(_u2425, c_Orderings_Oord__class_Omin(_u2425)), _u2426)), _u2427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), skolem42(_u2427, _u2426, _u2425)), _u2427)) )).
% 12.17/12.37 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2425), _u2426)) | ( _u2426 = c_Orderings_Obot__class_Obot(tc_fun(_u2425, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2425), _u2424), _u2426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), _u2424), _u2427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), hAPP(c_Finite__Set_Ofold1(_u2425, c_Orderings_Oord__class_Omin(_u2425)), _u2426)), _u2427)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2430), _u2431)) | ( _u2431 = c_Orderings_Obot__class_Obot(tc_fun(_u2430, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), hAPP(c_Finite__Set_Ofold1(_u2430, c_Orderings_Oord__class_Omin(_u2430)), _u2431))) | ~hBOOL(hAPP(hAPP(c_member(_u2430), _u2428), _u2431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), _u2428)) )).
% 12.17/12.37 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2430), _u2431)) | ( _u2431 = c_Orderings_Obot__class_Obot(tc_fun(_u2430, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), hAPP(c_Finite__Set_Ofold1(_u2430, c_Orderings_Oord__class_Omin(_u2430)), _u2431))) | hBOOL(hAPP(hAPP(c_member(_u2430), skolem43(_u2432, _u2431, _u2430)), _u2431)) )).
% 12.17/12.37 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2430), _u2431)) | ( _u2431 = c_Orderings_Obot__class_Obot(tc_fun(_u2430, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), hAPP(c_Finite__Set_Ofold1(_u2430, c_Orderings_Oord__class_Omin(_u2430)), _u2431))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), skolem43(_u2432, _u2431, _u2430))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u2433) | ( _u2434 = c_Orderings_Obot__class_Obot(tc_fun(_u2433, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2433, tc_HOL_Obool)), _u2434), _u2435)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2433), _u2435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2433), hAPP(c_Finite__Set_Ofold1(_u2433, c_Orderings_Oord__class_Omin(_u2433)), _u2435)), hAPP(c_Finite__Set_Ofold1(_u2433, c_Orderings_Oord__class_Omin(_u2433)), _u2434))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u2436) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2436), _u2437), _u2438) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2436), _u2437), hAPP(c_Groups_Ouminus__class_Ouminus(_u2436), _u2438))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u2439) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2439), _u2440), _u2441) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2439), _u2440), hAPP(c_Groups_Ouminus__class_Ouminus(_u2439), _u2441))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u2442) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2442), _u2443), hAPP(c_Groups_Ouminus__class_Ouminus(_u2442), _u2444)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2442), _u2443), _u2444)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2445) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2445), _u2446), _u2447) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2445), _u2446), hAPP(c_Groups_Ouminus__class_Ouminus(_u2445), _u2447))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2450, tc_HOL_Obool)), _u2452), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2450, tc_HOL_Obool)), _u2452))) | ( _u2452 = c_Orderings_Obot__class_Obot(tc_fun(_u2450, tc_HOL_Obool))) )).
% 12.17/12.37 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u2453 != c_Orderings_Obot__class_Obot(tc_fun(_u2451, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2451, tc_HOL_Obool)), _u2453), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2451, tc_HOL_Obool)), _u2453))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2454) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2455), _u2456)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2455, _u2454), hAPP(hAPP(c_COMBS(_u2455, _u2454, _u2454), hAPP(hAPP(c_COMBB(_u2454, tc_fun(_u2454, _u2454), _u2455), c_Groups_Otimes__class_Otimes(_u2454)), _u2457)), _u2458)), _u2456) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2454), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2455, _u2454), _u2457), _u2456)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2455, _u2454), _u2458), _u2456))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u2459 != c_Finite__Set_Ofold1(_u2460, _u2461)) | ( hAPP(_u2459, hAPP(hAPP(c_Set_Oinsert(_u2460), _u2462), c_Orderings_Obot__class_Obot(tc_fun(_u2460, tc_HOL_Obool)))) = _u2462) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u2463, _u2464), hAPP(hAPP(c_Set_Oinsert(_u2463), _u2465), c_Orderings_Obot__class_Obot(tc_fun(_u2463, tc_HOL_Obool)))) = _u2465) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2466, _u2467, _u2468) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2466), _u2469)) | ( hAPP(_u2468, _u2469) = hAPP(c_Finite__Set_Ofold1(_u2466, _u2467), _u2469)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u2470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2470), _u2471)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2470, _u2470, c_Orderings_Oord__class_Omax(_u2470)), _u2472), hAPP(hAPP(c_Set_Oinsert(_u2470), _u2473), _u2471)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2470), _u2473), hAPP(hAPP(c_Finite__Set_Ofold(_u2470, _u2470, c_Orderings_Oord__class_Omax(_u2470)), _u2472), _u2471))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2474) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2474), _u2475)) | ~hBOOL(hAPP(hAPP(c_member(_u2474), _u2476), _u2475)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2474), _u2476), c_Big__Operators_Olinorder__class_OMax(_u2474, _u2475)) = c_Big__Operators_Olinorder__class_OMax(_u2474, _u2475)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u2477) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2477), _u2478)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2477, _u2477, c_Orderings_Oord__class_Omin(_u2477)), _u2479), hAPP(hAPP(c_Set_Oinsert(_u2477), _u2480), _u2478)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2477), _u2480), hAPP(hAPP(c_Finite__Set_Ofold(_u2477, _u2477, c_Orderings_Oord__class_Omin(_u2477)), _u2479), _u2478))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2481), _u2482)) | ~hBOOL(hAPP(hAPP(c_member(_u2481), _u2483), _u2482)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2481), _u2483), c_Big__Operators_Olinorder__class_OMin(_u2481, _u2482)) = c_Big__Operators_Olinorder__class_OMin(_u2481, _u2482)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u2484, _u2485), _u2486) = c_HOL_OThe(_u2484, c_Finite__Set_Ofold1Set(_u2484, _u2485, _u2486))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2487) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2488), _u2489)) | hBOOL(hAPP(hAPP(c_member(_u2488), _u2490), _u2489)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2488, _u2487), _u2491), hAPP(hAPP(c_Set_Oinsert(_u2488), _u2490), _u2489)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2487), hAPP(_u2491, _u2490)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2488, _u2487), _u2491), _u2489))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2492) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2493), _u2494)) | hBOOL(hAPP(hAPP(c_member(_u2493), _u2495), _u2494)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2493, _u2492), _u2496), hAPP(hAPP(c_Set_Oinsert(_u2493), _u2495), _u2494)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2492), hAPP(_u2496, _u2495)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2493, _u2492), _u2496), _u2494))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u2497) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2497), _u2498)) | ~hBOOL(hAPP(hAPP(c_member(_u2497), _u2499), _u2498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2497), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2497), _u2499), _u2500)), hAPP(hAPP(c_Finite__Set_Ofold(_u2497, _u2497, c_Orderings_Oord__class_Omax(_u2497)), _u2500), _u2498))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u2501) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2501), _u2502)) | ~hBOOL(hAPP(hAPP(c_member(_u2501), _u2503), _u2502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(hAPP(c_Finite__Set_Ofold(_u2501, _u2501, c_Orderings_Oord__class_Omin(_u2501)), _u2504), _u2502)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2501), _u2503), _u2504))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u2505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2505), _u2506)) | ( _u2506 = c_Orderings_Obot__class_Obot(tc_fun(_u2505, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2505, hAPP(hAPP(c_Set_Oinsert(_u2505), _u2507), _u2506)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2505), _u2507), c_Big__Operators_Olinorder__class_OMax(_u2505, _u2506))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u2508) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2508), _u2509)) | ( _u2509 = c_Orderings_Obot__class_Obot(tc_fun(_u2508, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2508, hAPP(hAPP(c_Set_Oinsert(_u2508), _u2510), _u2509)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2508), _u2510), c_Big__Operators_Olinorder__class_OMin(_u2508, _u2509))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2511), _u2512)) | ( _u2513 = c_Orderings_Obot__class_Obot(tc_fun(_u2511, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2511, tc_HOL_Obool)), _u2513), _u2512)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2511), c_Big__Operators_Olinorder__class_OMax(_u2511, _u2513)), c_Big__Operators_Olinorder__class_OMax(_u2511, _u2512)) = c_Big__Operators_Olinorder__class_OMax(_u2511, _u2512)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2514), _u2515)) | ( _u2516 = c_Orderings_Obot__class_Obot(tc_fun(_u2514, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2514, tc_HOL_Obool)), _u2516), _u2515)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2514), c_Big__Operators_Olinorder__class_OMin(_u2514, _u2516)), c_Big__Operators_Olinorder__class_OMin(_u2514, _u2515)) = c_Big__Operators_Olinorder__class_OMin(_u2514, _u2515)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u2517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2517), _u2518)) | ( c_Big__Operators_Olinorder__class_OMax(_u2517, hAPP(hAPP(c_Set_Oinsert(_u2517), _u2519), _u2518)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2517, _u2517, c_Orderings_Oord__class_Omax(_u2517)), _u2519), _u2518)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u2520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2520), _u2521)) | ( c_Big__Operators_Olinorder__class_OMin(_u2520, hAPP(hAPP(c_Set_Oinsert(_u2520), _u2522), _u2521)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2520, _u2520, c_Orderings_Oord__class_Omin(_u2520)), _u2522), _u2521)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2524), _u2525)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2524, _u2523), _u2526), hAPP(hAPP(c_Set_Oinsert(_u2524), _u2527), _u2525)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2523), hAPP(_u2526, _u2527)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2524, _u2523), _u2526), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2524, tc_HOL_Obool)), _u2525), hAPP(hAPP(c_Set_Oinsert(_u2524), _u2527), c_Orderings_Obot__class_Obot(tc_fun(_u2524, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2528) | ( _u2529 = c_Orderings_Obot__class_Obot(tc_fun(_u2528, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2528), _u2529)) | ( hAPP(c_Finite__Set_Ofold1(_u2528, c_Groups_Otimes__class_Otimes(_u2528)), hAPP(hAPP(c_Set_Oinsert(_u2528), _u2530), _u2529)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2528), _u2530), hAPP(c_Finite__Set_Ofold1(_u2528, c_Groups_Otimes__class_Otimes(_u2528)), _u2529))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2531) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2531), _u2532)) | ( hAPP(c_Finite__Set_Ofold1(_u2531, c_Groups_Otimes__class_Otimes(_u2531)), hAPP(hAPP(c_Set_Oinsert(_u2531), _u2533), _u2532)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2531, _u2531, c_Groups_Otimes__class_Otimes(_u2531)), _u2533), _u2532)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u2534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2534), _u2535)) | hBOOL(hAPP(hAPP(c_member(_u2534), _u2536), _u2535)) | ( _u2535 = c_Orderings_Obot__class_Obot(tc_fun(_u2534, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2534, hAPP(hAPP(c_Set_Oinsert(_u2534), _u2536), _u2535)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2534), _u2536), c_Big__Operators_Olinorder__class_OMax(_u2534, _u2535))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u2537) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2537), _u2538)) | hBOOL(hAPP(hAPP(c_member(_u2537), _u2539), _u2538)) | ( _u2538 = c_Orderings_Obot__class_Obot(tc_fun(_u2537, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2537, hAPP(hAPP(c_Set_Oinsert(_u2537), _u2539), _u2538)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2537), _u2539), c_Big__Operators_Olinorder__class_OMin(_u2537, _u2538))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u2540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2540), _u2541)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2540, tc_HOL_Obool)), _u2541), hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2540, hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), _u2541)) = _u2542) )).
% 12.17/12.37 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u2540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2540), _u2541)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2540, tc_HOL_Obool)), _u2541), hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2540, hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), _u2541)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2540), _u2542), c_Big__Operators_Olinorder__class_OMax(_u2540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2540, tc_HOL_Obool)), _u2541), hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u2543) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2543), _u2544)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2543, tc_HOL_Obool)), _u2544), hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2543, hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), _u2544)) = _u2545) )).
% 12.17/12.37 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u2543) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2543), _u2544)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2543, tc_HOL_Obool)), _u2544), hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2543, hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), _u2544)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2543), _u2545), c_Big__Operators_Olinorder__class_OMin(_u2543, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2543, tc_HOL_Obool)), _u2544), hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u2546) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2546), _u2547)) | hBOOL(hAPP(hAPP(c_member(_u2546), _u2548), _u2547)) | ( c_Big__Operators_Olinorder__class_OMax(_u2546, hAPP(hAPP(c_Set_Oinsert(_u2546), _u2548), _u2547)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2546, _u2546, c_Orderings_Oord__class_Omax(_u2546)), _u2548), _u2547)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u2549) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2549), _u2550)) | hBOOL(hAPP(hAPP(c_member(_u2549), _u2551), _u2550)) | ( c_Big__Operators_Olinorder__class_OMin(_u2549, hAPP(hAPP(c_Set_Oinsert(_u2549), _u2551), _u2550)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2549, _u2549, c_Orderings_Oord__class_Omin(_u2549)), _u2551), _u2550)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u2552, _u2553, _u2554) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2552), _u2555)) | ( hAPP(_u2554, _u2555) = hAPP(c_Finite__Set_Ofold1(_u2552, _u2553), _u2555)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u2556) | ( c_Orderings_Oord_Omin(_u2556, hAPP(c_COMBC(_u2556, _u2556, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u2556))) = c_Orderings_Oord__class_Omax(_u2556)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u2557) | ( c_Orderings_Oord_Omax(_u2557, hAPP(c_COMBC(_u2557, _u2557, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u2557))) = c_Orderings_Oord__class_Omin(_u2557)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u2558) | ( c_Orderings_Oord__class_Omax(_u2558) = c_Orderings_Oord_Omax(_u2558, c_Orderings_Oord__class_Oless__eq(_u2558))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u2559) | ( c_Orderings_Oord__class_Omin(_u2559) = c_Orderings_Oord_Omin(_u2559, c_Orderings_Oord__class_Oless__eq(_u2559))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u2562) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2562), _u2563)) | ( _u2563 = c_Orderings_Obot__class_Obot(tc_fun(_u2562, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2562), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2562), skolem44(_u2563, _u2562)), skolem45(_u2563, _u2562))), hAPP(hAPP(c_Set_Oinsert(_u2562), skolem44(_u2563, _u2562)), hAPP(hAPP(c_Set_Oinsert(_u2562), skolem45(_u2563, _u2562)), c_Orderings_Obot__class_Obot(tc_fun(_u2562, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2562), c_Big__Operators_Olinorder__class_OMax(_u2562, _u2563)), _u2563)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u2566) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2566), _u2567)) | ( _u2567 = c_Orderings_Obot__class_Obot(tc_fun(_u2566, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2566), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2566), skolem46(_u2567, _u2566)), skolem47(_u2567, _u2566))), hAPP(hAPP(c_Set_Oinsert(_u2566), skolem46(_u2567, _u2566)), hAPP(hAPP(c_Set_Oinsert(_u2566), skolem47(_u2567, _u2566)), c_Orderings_Obot__class_Obot(tc_fun(_u2566, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2566), c_Big__Operators_Olinorder__class_OMin(_u2566, _u2567)), _u2567)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2570) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2570), _u2571)) | ( _u2571 = c_Orderings_Obot__class_Obot(tc_fun(_u2570, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2570), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2570), skolem48(_u2571, _u2570)), skolem49(_u2571, _u2570))), hAPP(hAPP(c_Set_Oinsert(_u2570), skolem48(_u2571, _u2570)), hAPP(hAPP(c_Set_Oinsert(_u2570), skolem49(_u2571, _u2570)), c_Orderings_Obot__class_Obot(tc_fun(_u2570, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2570), hAPP(c_Finite__Set_Ofold1(_u2570, c_Groups_Otimes__class_Otimes(_u2570)), _u2571)), _u2571)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u2572) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2572), _u2573)) | ~hBOOL(hAPP(hAPP(c_member(_u2572), _u2574), _u2573)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool)), _u2573), hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2572, c_Orderings_Oord__class_Omax(_u2572), _u2573) = _u2574) )).
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u2572) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2572), _u2573)) | ~hBOOL(hAPP(hAPP(c_member(_u2572), _u2574), _u2573)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool)), _u2573), hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2572, c_Orderings_Oord__class_Omax(_u2572), _u2573) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2572), _u2574), c_Big__Operators_Olattice_OSup__fin(_u2572, c_Orderings_Oord__class_Omax(_u2572), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool)), _u2573), hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u2575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2575), _u2576)) | ~hBOOL(hAPP(hAPP(c_member(_u2575), _u2577), _u2576)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2575, tc_HOL_Obool)), _u2576), hAPP(hAPP(c_Set_Oinsert(_u2575), _u2577), c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2575, c_Orderings_Oord__class_Omin(_u2575), _u2576) = _u2577) )).
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u2575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2575), _u2576)) | ~hBOOL(hAPP(hAPP(c_member(_u2575), _u2577), _u2576)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2575, tc_HOL_Obool)), _u2576), hAPP(hAPP(c_Set_Oinsert(_u2575), _u2577), c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2575, c_Orderings_Oord__class_Omin(_u2575), _u2576) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2575), _u2577), c_Big__Operators_Olattice_OInf__fin(_u2575, c_Orderings_Oord__class_Omin(_u2575), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2575, tc_HOL_Obool)), _u2576), hAPP(hAPP(c_Set_Oinsert(_u2575), _u2577), c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u2583 = _u2585) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2581, tc_HOL_Obool)), _u2583) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2581, tc_HOL_Obool)), _u2585)) )).
% 12.17/12.37 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u2584 != _u2586) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2582, tc_HOL_Obool)), _u2584) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2582, tc_HOL_Obool)), _u2586)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2587, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2587, tc_HOL_Obool)), _u2588)) = _u2588) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u2589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2589), _u2590)) | ( _u2590 = c_Orderings_Obot__class_Obot(tc_fun(_u2589, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2589), c_Big__Operators_Olattice_OInf__fin(_u2589, c_Orderings_Oord__class_Omin(_u2589), _u2590)), c_Big__Operators_Olattice_OSup__fin(_u2589, c_Orderings_Oord__class_Omax(_u2589), _u2590))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), _u2592)) | ~hBOOL(hAPP(hAPP(c_member(_u2591), _u2593), _u2592)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2591), _u2593), c_Big__Operators_Olattice_OInf__fin(_u2591, c_Orderings_Oord__class_Omin(_u2591), _u2592)) = c_Big__Operators_Olattice_OInf__fin(_u2591, c_Orderings_Oord__class_Omin(_u2591), _u2592)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2594) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2594), _u2595)) | ~hBOOL(hAPP(hAPP(c_member(_u2594), _u2596), _u2595)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2594), _u2596), c_Big__Operators_Olattice_OSup__fin(_u2594, c_Orderings_Oord__class_Omax(_u2594), _u2595)) = c_Big__Operators_Olattice_OSup__fin(_u2594, c_Orderings_Oord__class_Omax(_u2594), _u2595)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u2597) | ( c_Big__Operators_Olattice_OInf__fin(_u2597, c_Orderings_Oord__class_Omin(_u2597), hAPP(hAPP(c_Set_Oinsert(_u2597), _u2598), c_Orderings_Obot__class_Obot(tc_fun(_u2597, tc_HOL_Obool)))) = _u2598) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u2599) | ( c_Big__Operators_Olattice_OSup__fin(_u2599, c_Orderings_Oord__class_Omax(_u2599), hAPP(hAPP(c_Set_Oinsert(_u2599), _u2600), c_Orderings_Obot__class_Obot(tc_fun(_u2599, tc_HOL_Obool)))) = _u2600) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u2601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2601), _u2602)) | ( c_Big__Operators_Olattice_OInf__fin(_u2601, c_Orderings_Oord__class_Omin(_u2601), _u2602) = hAPP(c_Finite__Set_Ofold1(_u2601, c_Orderings_Oord__class_Omin(_u2601)), _u2602)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u2603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2603), _u2604)) | ( c_Big__Operators_Olattice_OSup__fin(_u2603, c_Orderings_Oord__class_Omax(_u2603), _u2604) = hAPP(c_Finite__Set_Ofold1(_u2603, c_Orderings_Oord__class_Omax(_u2603)), _u2604)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2605) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2605), _u2606)) | ( _u2606 = c_Orderings_Obot__class_Obot(tc_fun(_u2605, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2605, c_Orderings_Oord__class_Omin(_u2605), hAPP(hAPP(c_Set_Oinsert(_u2605), _u2607), _u2606)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2605), _u2607), c_Big__Operators_Olattice_OInf__fin(_u2605, c_Orderings_Oord__class_Omin(_u2605), _u2606))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2608) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2608), _u2609)) | ( _u2609 = c_Orderings_Obot__class_Obot(tc_fun(_u2608, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2608, c_Orderings_Oord__class_Omax(_u2608), hAPP(hAPP(c_Set_Oinsert(_u2608), _u2610), _u2609)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2608), _u2610), c_Big__Operators_Olattice_OSup__fin(_u2608, c_Orderings_Oord__class_Omax(_u2608), _u2609))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2611), _u2612)) | ( _u2613 = c_Orderings_Obot__class_Obot(tc_fun(_u2611, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2611, tc_HOL_Obool)), _u2613), _u2612)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2611), c_Big__Operators_Olattice_OInf__fin(_u2611, c_Orderings_Oord__class_Omin(_u2611), _u2613)), c_Big__Operators_Olattice_OInf__fin(_u2611, c_Orderings_Oord__class_Omin(_u2611), _u2612)) = c_Big__Operators_Olattice_OInf__fin(_u2611, c_Orderings_Oord__class_Omin(_u2611), _u2612)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2614) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2614), _u2615)) | ( _u2616 = c_Orderings_Obot__class_Obot(tc_fun(_u2614, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2614, tc_HOL_Obool)), _u2616), _u2615)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2614), c_Big__Operators_Olattice_OSup__fin(_u2614, c_Orderings_Oord__class_Omax(_u2614), _u2616)), c_Big__Operators_Olattice_OSup__fin(_u2614, c_Orderings_Oord__class_Omax(_u2614), _u2615)) = c_Big__Operators_Olattice_OSup__fin(_u2614, c_Orderings_Oord__class_Omax(_u2614), _u2615)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u2617) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2617), _u2618)) | ~hBOOL(hAPP(hAPP(c_member(_u2617), _u2619), _u2618)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2617), _u2619), c_Big__Operators_Olattice_OSup__fin(_u2617, c_Orderings_Oord__class_Omax(_u2617), _u2618)) = _u2619) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u2620) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2620), _u2621)) | ~hBOOL(hAPP(hAPP(c_member(_u2620), _u2622), _u2621)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2620), _u2622), c_Big__Operators_Olattice_OInf__fin(_u2620, c_Orderings_Oord__class_Omin(_u2620), _u2621)) = _u2622) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u2623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2623), _u2624)) | ( c_Big__Operators_Olattice_OInf__fin(_u2623, c_Orderings_Oord__class_Omin(_u2623), hAPP(hAPP(c_Set_Oinsert(_u2623), _u2625), _u2624)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2623, _u2623, c_Orderings_Oord__class_Omin(_u2623)), _u2625), _u2624)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u2626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2626), _u2627)) | ( c_Big__Operators_Olattice_OSup__fin(_u2626, c_Orderings_Oord__class_Omax(_u2626), hAPP(hAPP(c_Set_Oinsert(_u2626), _u2628), _u2627)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2626, _u2626, c_Orderings_Oord__class_Omax(_u2626)), _u2628), _u2627)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u2629) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2629), _u2630)) | hBOOL(hAPP(hAPP(c_member(_u2629), _u2631), _u2630)) | ( _u2630 = c_Orderings_Obot__class_Obot(tc_fun(_u2629, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2629, c_Orderings_Oord__class_Omin(_u2629), hAPP(hAPP(c_Set_Oinsert(_u2629), _u2631), _u2630)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2629), _u2631), c_Big__Operators_Olattice_OInf__fin(_u2629, c_Orderings_Oord__class_Omin(_u2629), _u2630))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u2632) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2632), _u2633)) | hBOOL(hAPP(hAPP(c_member(_u2632), _u2634), _u2633)) | ( _u2633 = c_Orderings_Obot__class_Obot(tc_fun(_u2632, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2632, c_Orderings_Oord__class_Omax(_u2632), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2634), _u2633)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2632), _u2634), c_Big__Operators_Olattice_OSup__fin(_u2632, c_Orderings_Oord__class_Omax(_u2632), _u2633))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u2635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), _u2636)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2635, tc_HOL_Obool)), _u2636), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2635, c_Orderings_Oord__class_Omin(_u2635), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), _u2636)) = _u2637) )).
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u2635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), _u2636)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2635, tc_HOL_Obool)), _u2636), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2635, c_Orderings_Oord__class_Omin(_u2635), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), _u2636)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2635), _u2637), c_Big__Operators_Olattice_OInf__fin(_u2635, c_Orderings_Oord__class_Omin(_u2635), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2635, tc_HOL_Obool)), _u2636), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u2638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2638), _u2639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2638, tc_HOL_Obool)), _u2639), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2638, c_Orderings_Oord__class_Omax(_u2638), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), _u2639)) = _u2640) )).
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u2638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2638), _u2639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2638, tc_HOL_Obool)), _u2639), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2638, c_Orderings_Oord__class_Omax(_u2638), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), _u2639)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2638), _u2640), c_Big__Operators_Olattice_OSup__fin(_u2638, c_Orderings_Oord__class_Omax(_u2638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2638, tc_HOL_Obool)), _u2639), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u2641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), _u2642)) | hBOOL(hAPP(hAPP(c_member(_u2641), _u2643), _u2642)) | ( c_Big__Operators_Olattice_OInf__fin(_u2641, c_Orderings_Oord__class_Omin(_u2641), hAPP(hAPP(c_Set_Oinsert(_u2641), _u2643), _u2642)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2641, _u2641, c_Orderings_Oord__class_Omin(_u2641)), _u2643), _u2642)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u2644) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2644), _u2645)) | hBOOL(hAPP(hAPP(c_member(_u2644), _u2646), _u2645)) | ( c_Big__Operators_Olattice_OSup__fin(_u2644, c_Orderings_Oord__class_Omax(_u2644), hAPP(hAPP(c_Set_Oinsert(_u2644), _u2646), _u2645)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2644, _u2644, c_Orderings_Oord__class_Omax(_u2644)), _u2646), _u2645)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u2649) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2649), _u2650)) | ( _u2650 = c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2649), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2649), skolem50(_u2650, _u2649)), skolem51(_u2650, _u2649))), hAPP(hAPP(c_Set_Oinsert(_u2649), skolem50(_u2650, _u2649)), hAPP(hAPP(c_Set_Oinsert(_u2649), skolem51(_u2650, _u2649)), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2649), c_Big__Operators_Olattice_OSup__fin(_u2649, c_Orderings_Oord__class_Omax(_u2649), _u2650)), _u2650)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u2653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2653), _u2654)) | ( _u2654 = c_Orderings_Obot__class_Obot(tc_fun(_u2653, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2653), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2653), skolem52(_u2654, _u2653)), skolem53(_u2654, _u2653))), hAPP(hAPP(c_Set_Oinsert(_u2653), skolem52(_u2654, _u2653)), hAPP(hAPP(c_Set_Oinsert(_u2653), skolem53(_u2654, _u2653)), c_Orderings_Obot__class_Obot(tc_fun(_u2653, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2653), c_Big__Operators_Olattice_OInf__fin(_u2653, c_Orderings_Oord__class_Omin(_u2653), _u2654)), _u2654)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2657) | ( hAPP(_u2658, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2657), skolem54(_u2659, _u2658, _u2657)), skolem55(_u2659, _u2658, _u2657))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2657), hAPP(_u2658, skolem54(_u2659, _u2658, _u2657))), hAPP(_u2658, skolem55(_u2659, _u2658, _u2657)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2657), _u2659)) | ( _u2659 = c_Orderings_Obot__class_Obot(tc_fun(_u2657, tc_HOL_Obool))) | ( hAPP(_u2658, c_Big__Operators_Olattice_OSup__fin(_u2657, c_Orderings_Oord__class_Omax(_u2657), _u2659)) = c_Big__Operators_Olattice_OSup__fin(_u2657, c_Orderings_Oord__class_Omax(_u2657), hAPP(c_Set_Oimage(_u2657, _u2657, _u2658), _u2659))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2662) | ( hAPP(_u2663, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2662), skolem56(_u2664, _u2663, _u2662)), skolem57(_u2664, _u2663, _u2662))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2662), hAPP(_u2663, skolem56(_u2664, _u2663, _u2662))), hAPP(_u2663, skolem57(_u2664, _u2663, _u2662)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2662), _u2664)) | ( _u2664 = c_Orderings_Obot__class_Obot(tc_fun(_u2662, tc_HOL_Obool))) | ( hAPP(_u2663, c_Big__Operators_Olattice_OInf__fin(_u2662, c_Orderings_Oord__class_Omin(_u2662), _u2664)) = c_Big__Operators_Olattice_OInf__fin(_u2662, c_Orderings_Oord__class_Omin(_u2662), hAPP(c_Set_Oimage(_u2662, _u2662, _u2663), _u2664))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2667) | ( hAPP(_u2668, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2667), skolem58(_u2669, _u2668, _u2667)), skolem59(_u2669, _u2668, _u2667))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2667), hAPP(_u2668, skolem58(_u2669, _u2668, _u2667))), hAPP(_u2668, skolem59(_u2669, _u2668, _u2667)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2667), _u2669)) | ( _u2669 = c_Orderings_Obot__class_Obot(tc_fun(_u2667, tc_HOL_Obool))) | ( hAPP(_u2668, c_Big__Operators_Olinorder__class_OMax(_u2667, _u2669)) = c_Big__Operators_Olinorder__class_OMax(_u2667, hAPP(c_Set_Oimage(_u2667, _u2667, _u2668), _u2669))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2672) | ( hAPP(_u2673, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2672), skolem60(_u2674, _u2673, _u2672)), skolem61(_u2674, _u2673, _u2672))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2672), hAPP(_u2673, skolem60(_u2674, _u2673, _u2672))), hAPP(_u2673, skolem61(_u2674, _u2673, _u2672)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2672), _u2674)) | ( _u2674 = c_Orderings_Obot__class_Obot(tc_fun(_u2672, tc_HOL_Obool))) | ( hAPP(_u2673, c_Big__Operators_Olinorder__class_OMin(_u2672, _u2674)) = c_Big__Operators_Olinorder__class_OMin(_u2672, hAPP(c_Set_Oimage(_u2672, _u2672, _u2673), _u2674))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2677) | ( hAPP(_u2678, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2677), skolem62(_u2679, _u2678, _u2677)), skolem63(_u2679, _u2678, _u2677))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2677), hAPP(_u2678, skolem62(_u2679, _u2678, _u2677))), hAPP(_u2678, skolem63(_u2679, _u2678, _u2677)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2677), _u2679)) | ( _u2679 = c_Orderings_Obot__class_Obot(tc_fun(_u2677, tc_HOL_Obool))) | ( hAPP(_u2678, hAPP(c_Finite__Set_Ofold1(_u2677, c_Groups_Otimes__class_Otimes(_u2677)), _u2679)) = hAPP(c_Finite__Set_Ofold1(_u2677, c_Groups_Otimes__class_Otimes(_u2677)), hAPP(c_Set_Oimage(_u2677, _u2677, _u2678), _u2679))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u2681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2681), _u2682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2681), hAPP(hAPP(c_Finite__Set_Ofold(_u2681, _u2681, c_Orderings_Oord__class_Omax(_u2681)), _u2684), _u2682)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2681), _u2683), _u2684))) | hBOOL(hAPP(hAPP(c_member(_u2681), skolem64(_u2684, _u2683, _u2682, _u2681)), _u2682)) )).
% 12.17/12.37 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u2681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2681), _u2682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2681), hAPP(hAPP(c_Finite__Set_Ofold(_u2681, _u2681, c_Orderings_Oord__class_Omax(_u2681)), _u2684), _u2682)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2681), _u2683), _u2684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2681), skolem64(_u2684, _u2683, _u2682, _u2681)), _u2683)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u2686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2686), _u2687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2686), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2686), _u2688), _u2689)), hAPP(hAPP(c_Finite__Set_Ofold(_u2686, _u2686, c_Orderings_Oord__class_Omin(_u2686)), _u2689), _u2687))) | hBOOL(hAPP(hAPP(c_member(_u2686), skolem65(_u2689, _u2688, _u2687, _u2686)), _u2687)) )).
% 12.17/12.37 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u2686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2686), _u2687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2686), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2686), _u2688), _u2689)), hAPP(hAPP(c_Finite__Set_Ofold(_u2686, _u2686, c_Orderings_Oord__class_Omin(_u2686)), _u2689), _u2687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2686), _u2688), skolem65(_u2689, _u2688, _u2687, _u2686))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2690), _u2691)) | ~hBOOL(hAPP(hAPP(c_member(_u2690), _u2692), _u2691)) | ~hBOOL(hAPP(hAPP(c_member(_u2690), _u2693), _u2691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2690), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2690, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2690, tc_HOL_Obool)), _u2691), hAPP(hAPP(c_Set_Oinsert(_u2690), _u2692), c_Orderings_Obot__class_Obot(tc_fun(_u2690, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u2690), _u2693), c_Orderings_Obot__class_Obot(tc_fun(_u2690, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2690), _u2691))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2694), _u2695)) | ~hBOOL(hAPP(hAPP(c_member(_u2694), _u2696), _u2695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2694), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2694, tc_HOL_Obool)), _u2695), hAPP(hAPP(c_Set_Oinsert(_u2694), _u2696), c_Orderings_Obot__class_Obot(tc_fun(_u2694, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2694), _u2695))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u2697, _u2698, _u2699, c_Orderings_Otop__class_Otop(tc_fun(_u2697, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2698, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2697, _u2698, _u2699), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2697, tc_HOL_Obool)), _u2700))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2698, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2697, _u2698, _u2699), _u2700)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2701) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2702), _u2703)) | hBOOL(hAPP(hAPP(c_member(_u2702), _u2704), _u2703)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2701, _u2702, c_Groups_Otimes__class_Otimes(_u2701)), _u2705), _u2706), hAPP(hAPP(c_Set_Oinsert(_u2702), _u2704), _u2703)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2701), hAPP(_u2705, _u2704)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2701, _u2702, c_Groups_Otimes__class_Otimes(_u2701)), _u2705), _u2706), _u2703))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setsum__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setsum__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2708) | ~class_Groups_Oordered__ab__semigroup__add(_u2708) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2709, _u2708), _u2711), _u2710)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2709, _u2708), _u2712), _u2710))) | hBOOL(hAPP(hAPP(c_member(_u2709), skolem66(_u2712, _u2711, _u2710, _u2709, _u2708)), _u2710)) )).
% 12.17/12.37 cnf(fact_setsum__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2708) | ~class_Groups_Oordered__ab__semigroup__add(_u2708) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2709, _u2708), _u2711), _u2710)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2709, _u2708), _u2712), _u2710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), hAPP(_u2711, skolem66(_u2712, _u2711, _u2710, _u2709, _u2708))), hAPP(_u2712, skolem66(_u2712, _u2711, _u2710, _u2709, _u2708)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2713), _u2714)) | ( _u2714 = c_Orderings_Obot__class_Obot(tc_fun(_u2713, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2713), _u2715)) | ( _u2715 = c_Orderings_Obot__class_Obot(tc_fun(_u2713, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2713, c_Orderings_Oord__class_Omax(_u2713), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2713, tc_HOL_Obool)), _u2714), _u2715)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2713), c_Big__Operators_Olattice_OSup__fin(_u2713, c_Orderings_Oord__class_Omax(_u2713), _u2714)), c_Big__Operators_Olattice_OSup__fin(_u2713, c_Orderings_Oord__class_Omax(_u2713), _u2715))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2716), _u2717)) | ( _u2717 = c_Orderings_Obot__class_Obot(tc_fun(_u2716, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2716), _u2718)) | ( _u2718 = c_Orderings_Obot__class_Obot(tc_fun(_u2716, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2716, c_Orderings_Oord__class_Omin(_u2716), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2716, tc_HOL_Obool)), _u2717), _u2718)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2716), c_Big__Operators_Olattice_OInf__fin(_u2716, c_Orderings_Oord__class_Omin(_u2716), _u2717)), c_Big__Operators_Olattice_OInf__fin(_u2716, c_Orderings_Oord__class_Omin(_u2716), _u2718))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u2719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2719), _u2720)) | ( _u2720 = c_Orderings_Obot__class_Obot(tc_fun(_u2719, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2719), _u2721)) | ( _u2721 = c_Orderings_Obot__class_Obot(tc_fun(_u2719, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2719, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2719, tc_HOL_Obool)), _u2720), _u2721)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2719), c_Big__Operators_Olinorder__class_OMax(_u2719, _u2720)), c_Big__Operators_Olinorder__class_OMax(_u2719, _u2721))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u2722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2722), _u2723)) | ( _u2723 = c_Orderings_Obot__class_Obot(tc_fun(_u2722, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2722), _u2724)) | ( _u2724 = c_Orderings_Obot__class_Obot(tc_fun(_u2722, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2722, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2722, tc_HOL_Obool)), _u2723), _u2724)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2722), c_Big__Operators_Olinorder__class_OMin(_u2722, _u2723)), c_Big__Operators_Olinorder__class_OMin(_u2722, _u2724))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_top1I ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2725, tc_HOL_Obool)), _u2726)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u2728, _u2730)) | hBOOL(hAPP(_u2729, _u2730)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2727, tc_HOL_Obool)), _u2728), _u2729), _u2730)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2734, tc_HOL_Obool)), _u2733), _u2731), _u2732)) | ~hBOOL(hAPP(_u2731, _u2732)) )).
% 12.17/12.37 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2734, tc_HOL_Obool)), _u2733), _u2731), _u2732)) | ~hBOOL(hAPP(_u2733, _u2732)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2735), _u2736), c_Orderings_Otop__class_Otop(tc_fun(_u2735, tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_UnE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2737), _u2738), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2737, tc_HOL_Obool)), _u2739), _u2740))) | hBOOL(hAPP(hAPP(c_member(_u2737), _u2738), _u2739)) | hBOOL(hAPP(hAPP(c_member(_u2737), _u2738), _u2740)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2741), _u2742), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2741, tc_HOL_Obool)), _u2744), _u2743))) | ~hBOOL(hAPP(hAPP(c_member(_u2741), _u2742), _u2743)) )).
% 12.17/12.37 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2741), _u2742), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2741, tc_HOL_Obool)), _u2744), _u2743))) | ~hBOOL(hAPP(hAPP(c_member(_u2741), _u2742), _u2744)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u2746)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u2746), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2746), c_Orderings_Otop__class_Otop(tc_fun(_u2746, tc_HOL_Obool)))) )).
% 12.17/12.37 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2747), c_Orderings_Otop__class_Otop(tc_fun(_u2747, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u2747)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u2747), tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2750, _u2752)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2750, _u2752), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2750), c_Orderings_Otop__class_Otop(tc_fun(_u2750, tc_HOL_Obool)))) )).
% 12.17/12.37 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2750, _u2752)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2750, _u2752), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2752), c_Orderings_Otop__class_Otop(tc_fun(_u2752, tc_HOL_Obool)))) )).
% 12.17/12.37 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2751), c_Orderings_Otop__class_Otop(tc_fun(_u2751, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2753), c_Orderings_Otop__class_Otop(tc_fun(_u2753, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2751, _u2753)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2751, _u2753), tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2754), c_Orderings_Otop__class_Otop(tc_fun(_u2754, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2755), c_Orderings_Otop__class_Otop(tc_fun(_u2755, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u2754, _u2755)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u2754, _u2755), tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u2756) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2756), _u2757), _u2757) = _u2757) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2758, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2758, tc_HOL_Obool))), _u2759) = c_Orderings_Otop__class_Otop(tc_fun(_u2758, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2760, tc_HOL_Obool)), _u2761), c_Orderings_Otop__class_Otop(tc_fun(_u2760, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2760, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2762, tc_HOL_Obool)), _u2763), _u2763) = _u2763) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2764, tc_HOL_Obool)), _u2765), _u2766) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2764, tc_HOL_Obool)), _u2766), _u2765)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2767, tc_HOL_Obool)), _u2768), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2767, tc_HOL_Obool)), _u2768), _u2769)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2767, tc_HOL_Obool)), _u2768), _u2769)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2770, tc_HOL_Obool)), _u2771), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2770, tc_HOL_Obool)), _u2772), _u2773)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2770, tc_HOL_Obool)), _u2772), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2770, tc_HOL_Obool)), _u2771), _u2773))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2774, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2774, tc_HOL_Obool)), _u2775), _u2776)), _u2777) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2774, tc_HOL_Obool)), _u2775), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2774, tc_HOL_Obool)), _u2776), _u2777))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2788), _u2778), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2788, tc_HOL_Obool)), _u2790), _u2792))) | ~hBOOL(hAPP(_u2794, _u2778)) | hBOOL(hAPP(hAPP(c_member(_u2788), skolem67(_u2794, _u2792, _u2790, _u2788)), _u2790)) | hBOOL(hAPP(hAPP(c_member(_u2788), skolem68(_u2794, _u2792, _u2790, _u2788)), _u2792)) )).
% 12.17/12.37 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2788), _u2778), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2788, tc_HOL_Obool)), _u2790), _u2792))) | ~hBOOL(hAPP(_u2794, _u2778)) | hBOOL(hAPP(hAPP(c_member(_u2788), skolem67(_u2794, _u2792, _u2790, _u2788)), _u2790)) | hBOOL(hAPP(_u2794, skolem68(_u2794, _u2792, _u2790, _u2788))) )).
% 12.17/12.37 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2788), _u2778), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2788, tc_HOL_Obool)), _u2790), _u2792))) | ~hBOOL(hAPP(_u2794, _u2778)) | hBOOL(hAPP(_u2794, skolem67(_u2794, _u2792, _u2790, _u2788))) | hBOOL(hAPP(hAPP(c_member(_u2788), skolem68(_u2794, _u2792, _u2790, _u2788)), _u2792)) )).
% 12.17/12.37 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2788), _u2778), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2788, tc_HOL_Obool)), _u2790), _u2792))) | ~hBOOL(hAPP(_u2794, _u2778)) | hBOOL(hAPP(_u2794, skolem67(_u2794, _u2792, _u2790, _u2788))) | hBOOL(hAPP(_u2794, skolem68(_u2794, _u2792, _u2790, _u2788))) )).
% 12.17/12.37 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2789), _u2781), _u2791)) | ~hBOOL(hAPP(_u2795, _u2781)) | hBOOL(hAPP(hAPP(c_member(_u2789), skolem69(_u2795, _u2793, _u2791, _u2789)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2789, tc_HOL_Obool)), _u2791), _u2793))) )).
% 12.17/12.37 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2789), _u2781), _u2791)) | ~hBOOL(hAPP(_u2795, _u2781)) | hBOOL(hAPP(_u2795, skolem69(_u2795, _u2793, _u2791, _u2789))) )).
% 12.17/12.37 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2789), _u2782), _u2793)) | ~hBOOL(hAPP(_u2795, _u2782)) | hBOOL(hAPP(hAPP(c_member(_u2789), skolem69(_u2795, _u2793, _u2791, _u2789)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2789, tc_HOL_Obool)), _u2791), _u2793))) )).
% 12.17/12.37 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2789), _u2782), _u2793)) | ~hBOOL(hAPP(_u2795, _u2782)) | hBOOL(hAPP(_u2795, skolem69(_u2795, _u2793, _u2791, _u2789))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2806), skolem70(_u2812, _u2810, _u2808, _u2806)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2806, tc_HOL_Obool)), _u2808), _u2810))) | ~hBOOL(hAPP(hAPP(c_member(_u2806), _u2797), _u2808)) | hBOOL(hAPP(_u2812, _u2797)) )).
% 12.17/12.37 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2806), skolem70(_u2812, _u2810, _u2808, _u2806)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2806, tc_HOL_Obool)), _u2808), _u2810))) | ~hBOOL(hAPP(hAPP(c_member(_u2806), _u2798), _u2810)) | hBOOL(hAPP(_u2812, _u2798)) )).
% 12.17/12.37 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u2812, skolem70(_u2812, _u2810, _u2808, _u2806))) | ~hBOOL(hAPP(hAPP(c_member(_u2806), _u2797), _u2808)) | hBOOL(hAPP(_u2812, _u2797)) )).
% 12.17/12.37 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u2812, skolem70(_u2812, _u2810, _u2808, _u2806))) | ~hBOOL(hAPP(hAPP(c_member(_u2806), _u2798), _u2810)) | hBOOL(hAPP(_u2812, _u2798)) )).
% 12.17/12.37 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2807), _u2801), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2807, tc_HOL_Obool)), _u2809), _u2811))) | hBOOL(hAPP(_u2813, _u2801)) | hBOOL(hAPP(hAPP(c_member(_u2807), skolem71(_u2813, _u2811, _u2809, _u2807)), _u2809)) | hBOOL(hAPP(hAPP(c_member(_u2807), skolem72(_u2813, _u2811, _u2809, _u2807)), _u2811)) )).
% 12.17/12.37 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2807), _u2801), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2807, tc_HOL_Obool)), _u2809), _u2811))) | hBOOL(hAPP(_u2813, _u2801)) | hBOOL(hAPP(hAPP(c_member(_u2807), skolem71(_u2813, _u2811, _u2809, _u2807)), _u2809)) | ~hBOOL(hAPP(_u2813, skolem72(_u2813, _u2811, _u2809, _u2807))) )).
% 12.17/12.37 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2807), _u2801), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2807, tc_HOL_Obool)), _u2809), _u2811))) | hBOOL(hAPP(_u2813, _u2801)) | ~hBOOL(hAPP(_u2813, skolem71(_u2813, _u2811, _u2809, _u2807))) | hBOOL(hAPP(hAPP(c_member(_u2807), skolem72(_u2813, _u2811, _u2809, _u2807)), _u2811)) )).
% 12.17/12.37 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2807), _u2801), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2807, tc_HOL_Obool)), _u2809), _u2811))) | hBOOL(hAPP(_u2813, _u2801)) | ~hBOOL(hAPP(_u2813, skolem71(_u2813, _u2811, _u2809, _u2807))) | ~hBOOL(hAPP(_u2813, skolem72(_u2813, _u2811, _u2809, _u2807))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u2814) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2815, _u2814)), _u2816) = c_Orderings_Otop__class_Otop(_u2814)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u2817, _u2818)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2819, tc_HOL_Obool)), _u2817), _u2820), _u2818)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u2821, _u2822)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2823, tc_HOL_Obool)), _u2824), _u2821), _u2822)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u2825) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2825), c_Orderings_Otop__class_Otop(_u2825)), _u2826) = c_Orderings_Otop__class_Otop(_u2825)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u2827) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2827), _u2828), c_Orderings_Otop__class_Otop(_u2827)) = c_Orderings_Otop__class_Otop(_u2827)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2829) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2829), _u2830), _u2830) = _u2830) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2831) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2831), _u2832), _u2832) = _u2832) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u2833) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2834, _u2833)), _u2835), _u2836), _u2837) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2833), hAPP(_u2835, _u2837)), hAPP(_u2836, _u2837))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2838) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2838), _u2839), _u2840) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2838), _u2840), _u2839)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u2841) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2841), _u2842), _u2843) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2841), _u2843), _u2842)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2844) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2844), _u2845), _u2846) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2844), _u2846), _u2845)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2847) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2847), _u2848), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2847), _u2848), _u2849)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2847), _u2848), _u2849)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u2850) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2850), _u2851), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2850), _u2851), _u2852)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2850), _u2851), _u2852)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2853) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2853), _u2854), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2853), _u2854), _u2855)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2853), _u2854), _u2855)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2856) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2856), _u2857), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2856), _u2858), _u2859)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2856), _u2858), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2856), _u2857), _u2859))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u2860) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2860), _u2861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2860), _u2862), _u2863)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2860), _u2862), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2860), _u2861), _u2863))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2864) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2864), _u2865), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2864), _u2866), _u2867)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2864), _u2866), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2864), _u2865), _u2867))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2868) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), _u2869), _u2870)), _u2871) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), _u2869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), _u2870), _u2871))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u2872) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2872), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2872), _u2873), _u2874)), _u2875) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2872), _u2873), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2872), _u2874), _u2875))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2876) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2876), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2876), _u2877), _u2878)), _u2879) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2876), _u2877), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2876), _u2878), _u2879))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u2880) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2881, _u2880)), _u2882), _u2883), _u2884) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2880), hAPP(_u2882, _u2884)), hAPP(_u2883, _u2884))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2886), c_Orderings_Otop__class_Otop(tc_fun(_u2886, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2885, _u2886)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u2885, _u2886), tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2887), c_Orderings_Otop__class_Otop(tc_fun(_u2887, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u2887), _u2888) != hAPP(c_Finite__Set_Ocard(_u2887), c_Orderings_Otop__class_Otop(tc_fun(_u2887, tc_HOL_Obool)))) | ( _u2888 = c_Orderings_Otop__class_Otop(tc_fun(_u2887, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2889, tc_HOL_Obool)), _u2890), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2889, tc_HOL_Obool)), _u2890)) = c_Orderings_Otop__class_Otop(tc_fun(_u2889, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2891, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2891, tc_HOL_Obool)), _u2892)), _u2892) = c_Orderings_Otop__class_Otop(tc_fun(_u2891, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2893) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2893), _u2894), hAPP(c_Groups_Ouminus__class_Ouminus(_u2893), _u2894)) = c_Orderings_Otop__class_Otop(_u2893)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2895) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2895), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2896)), _u2896) = c_Orderings_Otop__class_Otop(_u2895)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u2897) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2897), _u2898), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2897), _u2898), _u2899))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2900), _u2901), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2900), _u2901), _u2902))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u2903) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2903), _u2904), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2903), _u2905), _u2904))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2906) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2906), _u2907), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2906), _u2908), _u2907))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2909), _u2910), _u2911)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2909), _u2910), _u2911) = _u2911) )).
% 12.17/12.37 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u2909) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2909), _u2910), _u2911) != _u2911) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2909), _u2910), _u2911)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2912), _u2913), _u2914)), _u2915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), _u2913), _u2915)) )).
% 12.17/12.37 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u2912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2912), _u2913), _u2914)), _u2915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), _u2914), _u2915)) )).
% 12.17/12.37 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u2912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), _u2913), _u2915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), _u2914), _u2915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2912), _u2913), _u2914)), _u2915)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2916) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2916), _u2917), _u2918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2916), _u2917), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2916), _u2918), _u2919))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2920), _u2921), _u2922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2920), _u2921), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2920), _u2923), _u2922))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2924) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2924), _u2925), _u2926)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2924), _u2925), _u2926) = _u2926) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2927), _u2928), _u2929)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2927), _u2929), _u2928) = _u2929) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2930), _u2931), _u2932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2930), _u2933), _u2932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2930), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2930), _u2931), _u2933)), _u2932)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2934), _u2935), _u2936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2934), _u2937), _u2936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2934), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2934), _u2935), _u2937)), _u2936)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2938), _u2939), _u2940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2938), _u2941), _u2942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2938), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2938), _u2939), _u2941)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2938), _u2940), _u2942))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2943), _u2944), _u2945)), _u2946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), _u2944), _u2946)) )).
% 12.17/12.37 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u2943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2943), _u2944), _u2945)), _u2946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), _u2945), _u2946)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2947), _u2948), _u2949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2947), _u2948), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2947), _u2949), _u2950))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2951), _u2952), _u2953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2951), _u2952), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2951), _u2954), _u2953))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2955) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2955), c_Orderings_Obot__class_Obot(_u2955)), _u2956) = _u2956) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2957) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2957), _u2958), c_Orderings_Obot__class_Obot(_u2957)) = _u2958) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2959) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2959), _u2960), _u2961) != c_Orderings_Obot__class_Obot(_u2959)) | ( _u2960 = c_Orderings_Obot__class_Obot(_u2959)) )).
% 12.17/12.37 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2959) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2959), _u2960), _u2961) != c_Orderings_Obot__class_Obot(_u2959)) | ( _u2961 = c_Orderings_Obot__class_Obot(_u2959)) )).
% 12.17/12.37 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2959) | ( _u2960 != c_Orderings_Obot__class_Obot(_u2959)) | ( _u2961 != c_Orderings_Obot__class_Obot(_u2959)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2959), _u2960), _u2961) = c_Orderings_Obot__class_Obot(_u2959)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2966), _u2968), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2966, tc_HOL_Obool)), _u2970), _u2972))) | hBOOL(hAPP(hAPP(c_member(_u2966), _u2968), _u2970)) | hBOOL(hAPP(hAPP(c_member(_u2966), _u2968), _u2972)) )).
% 12.17/12.37 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2967), _u2969), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2967, tc_HOL_Obool)), _u2971), _u2973))) | ~hBOOL(hAPP(hAPP(c_member(_u2967), _u2969), _u2971)) )).
% 12.17/12.37 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2967), _u2969), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2967, tc_HOL_Obool)), _u2971), _u2973))) | ~hBOOL(hAPP(hAPP(c_member(_u2967), _u2969), _u2973)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2974), _u2975), _u2976)) | hBOOL(hAPP(hAPP(c_member(_u2974), _u2975), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2974, tc_HOL_Obool)), _u2976), _u2977))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2978), _u2979), _u2980)) | hBOOL(hAPP(hAPP(c_member(_u2978), _u2979), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2978, tc_HOL_Obool)), _u2981), _u2980))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2982) | ~class_Orderings_Olinorder(_u2982) | ( c_Lattices_Osemilattice__sup__class_Osup(_u2982) = c_Orderings_Oord__class_Omax(_u2982)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2983, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2983, tc_HOL_Obool))), _u2984) = _u2984) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2985, tc_HOL_Obool)), _u2986), c_Orderings_Obot__class_Obot(tc_fun(_u2985, tc_HOL_Obool))) = _u2986) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2990, tc_HOL_Obool)), _u2992), _u2994) != c_Orderings_Obot__class_Obot(tc_fun(_u2990, tc_HOL_Obool))) | ( _u2992 = c_Orderings_Obot__class_Obot(tc_fun(_u2990, tc_HOL_Obool))) )).
% 12.17/12.37 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2990, tc_HOL_Obool)), _u2992), _u2994) != c_Orderings_Obot__class_Obot(tc_fun(_u2990, tc_HOL_Obool))) | ( _u2994 = c_Orderings_Obot__class_Obot(tc_fun(_u2990, tc_HOL_Obool))) )).
% 12.17/12.37 cnf(fact_Un__empty-3, axiom, ( ( _u2993 != c_Orderings_Obot__class_Obot(tc_fun(_u2991, tc_HOL_Obool))) | ( _u2995 != c_Orderings_Obot__class_Obot(tc_fun(_u2991, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2991, tc_HOL_Obool)), _u2993), _u2995) = c_Orderings_Obot__class_Obot(tc_fun(_u2991, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2999, tc_HOL_Obool)), _u3001), _u3003))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3001)) )).
% 12.17/12.37 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2999, tc_HOL_Obool)), _u3001), _u3003))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3003)) )).
% 12.17/12.37 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3000), _u3002)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3000), _u3004)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3000), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3000, tc_HOL_Obool)), _u3002), _u3004))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3005), _u3006)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3005), _u3007)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3005), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3005, tc_HOL_Obool)), _u3006), _u3007))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3008, tc_HOL_Obool)), _u3009), hAPP(hAPP(c_Set_Oinsert(_u3008), _u3010), _u3011)) = hAPP(hAPP(c_Set_Oinsert(_u3008), _u3010), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3008, tc_HOL_Obool)), _u3009), _u3011))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3012, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3012), _u3013), _u3014)), _u3015) = hAPP(hAPP(c_Set_Oinsert(_u3012), _u3013), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3012, tc_HOL_Obool)), _u3014), _u3015))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3016, tc_HOL_Obool)), _u3017), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3016, tc_HOL_Obool)), _u3017), _u3018))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3019, tc_HOL_Obool)), _u3020), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3019, tc_HOL_Obool)), _u3021), _u3020))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3025, tc_HOL_Obool)), _u3027), _u3029)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3025, tc_HOL_Obool)), _u3027), _u3029) = _u3029) )).
% 12.17/12.37 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3026, tc_HOL_Obool)), _u3028), _u3030) != _u3030) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3026, tc_HOL_Obool)), _u3028), _u3030)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3031, tc_HOL_Obool)), _u3032), _u3033)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3031, tc_HOL_Obool)), _u3032), _u3033) = _u3033) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3034, tc_HOL_Obool)), _u3035), _u3036)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3034, tc_HOL_Obool)), _u3036), _u3035) = _u3036) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3037, tc_HOL_Obool)), _u3038), _u3039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3037, tc_HOL_Obool)), _u3040), _u3039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3037, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3037, tc_HOL_Obool)), _u3038), _u3040)), _u3039)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3041, tc_HOL_Obool)), _u3042), _u3043)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3041, tc_HOL_Obool)), _u3044), _u3045)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3041, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3041, tc_HOL_Obool)), _u3042), _u3044)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3041, tc_HOL_Obool)), _u3043), _u3045))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u3046, _u3047, _u3048), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3046, tc_HOL_Obool)), _u3049), _u3050)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3047, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3046, _u3047, _u3048), _u3049)), hAPP(c_Set_Oimage(_u3046, _u3047, _u3048), _u3050))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3051, tc_HOL_Obool)), _u3052), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3051, tc_HOL_Obool)), _u3053), _u3052)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3051, tc_HOL_Obool)), _u3052), _u3053)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3054, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3054, tc_HOL_Obool)), _u3055), _u3056)), _u3056) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3054, tc_HOL_Obool)), _u3055), _u3056)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3057, tc_HOL_Obool)), _u3058), _u3059)), _u3060) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3057, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool)), _u3058), _u3060)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool)), _u3059), _u3060))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u3061, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u3061, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u3062) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3062), c_Orderings_Otop__class_Otop(tc_fun(_u3062, tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3063, tc_HOL_Obool)), _u3064), c_Orderings_Otop__class_Otop(tc_fun(_u3063, tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u3065, _u3066, _u3067, c_Orderings_Otop__class_Otop(tc_fun(_u3065, tc_HOL_Obool))) | ( hAPP(_u3067, _u3068) != hAPP(_u3067, _u3069)) | ( _u3068 = _u3069) )).
% 12.17/12.37 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u3065, _u3066, _u3067, c_Orderings_Otop__class_Otop(tc_fun(_u3065, tc_HOL_Obool))) | ( _u3068 != _u3069) | ( hAPP(_u3067, _u3068) = hAPP(_u3067, _u3069)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_injD ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_injD-1, axiom, ( ( hAPP(_u3072, _u3073) != hAPP(_u3072, _u3074)) | ( _u3073 = _u3074) | ~c_Fun_Oinj__on(_u3070, _u3071, _u3072, c_Orderings_Otop__class_Otop(tc_fun(_u3070, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3075, _u3076, _u3077), _u3078), _u3079), c_Orderings_Obot__class_Obot(tc_fun(_u3076, tc_HOL_Obool))) = _u3079) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3080) | c_Finite__Set_Ofun__left__comm__idem(_u3080, _u3080, c_Lattices_Osemilattice__sup__class_Osup(_u3080)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3085, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u3085, tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3085)), _u3087)), hAPP(hAPP(c_COMBC(_u3085, tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3085)), _u3089)), _u3091)) | hBOOL(hAPP(hAPP(c_member(_u3085), _u3091), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3085, tc_HOL_Obool)), _u3087), _u3089))) )).
% 12.17/12.37 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3086), _u3092), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3086, tc_HOL_Obool)), _u3088), _u3090))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3086, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u3086, tc_fun(_u3086, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3086)), _u3088)), hAPP(hAPP(c_COMBC(_u3086, tc_fun(_u3086, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3086)), _u3090)), _u3092)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u3093, _u3094, hAPP(hAPP(c_COMBB(_u3095, _u3094, _u3093), _u3096), _u3097)), c_Orderings_Otop__class_Otop(tc_fun(_u3093, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u3095, _u3094, _u3096), hAPP(c_Set_Oimage(_u3093, _u3095, _u3097), c_Orderings_Otop__class_Otop(tc_fun(_u3093, tc_HOL_Obool))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u3098, _u3099, _u3100, c_Orderings_Otop__class_Otop(tc_fun(_u3098, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3098, tc_fun(_u3101, _u3099), hAPP(hAPP(c_COMBB(_u3099, tc_fun(_u3101, _u3099), _u3098), c_COMBK(_u3099, _u3101)), _u3100), c_Orderings_Otop__class_Otop(tc_fun(_u3098, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u3102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3102), _u3103), c_Orderings_Otop__class_Otop(_u3102))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u3104, _u3105, _u3106), _u3107) = c_Finite__Set_Ofold(_u3105, _u3104, hAPP(hAPP(c_COMBB(_u3104, tc_fun(_u3104, _u3104), _u3105), _u3106), _u3107))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3108), _u3109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3108), _u3109)), hAPP(c_Finite__Set_Ocard(_u3108), hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), _u3109)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3111), _u3112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3111, tc_HOL_Obool)), _u3113), _u3112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3111), _u3113)), hAPP(c_Finite__Set_Ocard(_u3111), _u3112))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3114), _u3115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3114, tc_HOL_Obool)), _u3116), _u3115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3114), _u3115)), hAPP(c_Finite__Set_Ocard(_u3114), _u3116))) | ( _u3116 = _u3115) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3117), _u3118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3119), hAPP(c_Set_Oimage(_u3117, _u3119, _u3120), _u3118))), hAPP(c_Finite__Set_Ocard(_u3117), _u3118))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3121), hAPP(c_Set_Oimage(_u3122, _u3121, _u3123), _u3124))), hAPP(c_Finite__Set_Ocard(_u3122), _u3124))) | ~c_Fun_Oinj__on(_u3122, _u3121, _u3123, _u3124) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__image ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u3125, _u3126, _u3127, _u3128) | ( hAPP(c_Finite__Set_Ocard(_u3126), hAPP(c_Set_Oimage(_u3125, _u3126, _u3127), _u3128)) = hAPP(c_Finite__Set_Ocard(_u3125), _u3128)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u3129), _u3130), _u3131) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3129, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3129), _u3130), c_Orderings_Obot__class_Obot(tc_fun(_u3129, tc_HOL_Obool)))), _u3131)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3136, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3136, tc_HOL_Obool)), _u3138), _u3140)), _u3142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3136, tc_HOL_Obool)), _u3138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3136, tc_HOL_Obool)), _u3140), _u3142))) )).
% 12.17/12.37 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3137, tc_HOL_Obool)), _u3139), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3137, tc_HOL_Obool)), _u3141), _u3143))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3137, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3137, tc_HOL_Obool)), _u3139), _u3141)), _u3143)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3144, tc_HOL_Obool)), _u3145), _u3146)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3144, tc_HOL_Obool)), _u3145), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3144, tc_HOL_Obool)), _u3146), _u3145)) = _u3146) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3147), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3147, tc_HOL_Obool)), _u3149), _u3148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3147), _u3149)), hAPP(c_Finite__Set_Ocard(_u3147), _u3148))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3150, _u3151, _u3152, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3150, tc_HOL_Obool)), _u3153), _u3154)) | ( hAPP(c_Set_Oimage(_u3150, _u3151, _u3152), _u3153) != hAPP(c_Set_Oimage(_u3150, _u3151, _u3152), _u3154)) | ( _u3153 = _u3154) )).
% 12.17/12.37 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3150, _u3151, _u3152, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3150, tc_HOL_Obool)), _u3153), _u3154)) | ( _u3153 != _u3154) | ( hAPP(c_Set_Oimage(_u3150, _u3151, _u3152), _u3153) = hAPP(c_Set_Oimage(_u3150, _u3151, _u3152), _u3154)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3155), hAPP(_u3156, _u3157)), hAPP(c_Set_Oimage(_u3158, _u3155, _u3156), c_Orderings_Otop__class_Otop(tc_fun(_u3158, tc_HOL_Obool))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_range__eqI-1, axiom, ( ( _u3159 != hAPP(_u3160, _u3161)) | hBOOL(hAPP(hAPP(c_member(_u3162), _u3159), hAPP(c_Set_Oimage(_u3163, _u3162, _u3160), c_Orderings_Otop__class_Otop(tc_fun(_u3163, tc_HOL_Obool))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3164), _u3165)) | ( hAPP(c_Set_Oimage(_u3164, _u3166, _u3167), _u3165) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u3166, tc_HOL_Obool), _u3164, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3166, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3164, tc_fun(_u3166, tc_HOL_Obool), tc_fun(_u3166, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u3166, tc_fun(tc_fun(_u3166, tc_HOL_Obool), tc_fun(_u3166, tc_HOL_Obool)), _u3164), c_Set_Oinsert(_u3166)), _u3167)), c_Orderings_Obot__class_Obot(tc_fun(_u3166, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u3166, tc_HOL_Obool))), _u3165)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3168, tc_HOL_Obool)), _u3169), c_Orderings_Otop__class_Otop(tc_fun(_u3168, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u3168, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3170, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3170, tc_HOL_Obool)), _u3171), _u3172)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3170, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3170, tc_HOL_Obool)), _u3171)), _u3172)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3173, _u3174, _u3175, c_Orderings_Otop__class_Otop(tc_fun(_u3173, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3173, _u3174, _u3175), _u3176) != hAPP(c_Set_Oimage(_u3173, _u3174, _u3175), _u3177)) | ( _u3176 = _u3177) )).
% 12.17/12.37 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3173, _u3174, _u3175, c_Orderings_Otop__class_Otop(tc_fun(_u3173, tc_HOL_Obool))) | ( _u3176 != _u3177) | ( hAPP(c_Set_Oimage(_u3173, _u3174, _u3175), _u3176) = hAPP(c_Set_Oimage(_u3173, _u3174, _u3175), _u3177)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3178, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u3178, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u3178, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3179, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3179, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u3179, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), _u3181)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3180, tc_HOL_Obool)), _u3181))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), c_Orderings_Otop__class_Otop(tc_fun(_u3180, tc_HOL_Obool)))) )).
% 12.17/12.37 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), _u3181)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), c_Orderings_Otop__class_Otop(tc_fun(_u3180, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3180, tc_HOL_Obool)), _u3181))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3182, tc_HOL_Obool)), _u3183) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3182, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3182, tc_HOL_Obool))), _u3183)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u3184, tc_fun(_u3184, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u3184, tc_fun(_u3184, tc_HOL_Obool), tc_fun(_u3184, tc_HOL_Obool)), c_Set_Oinsert(_u3184)), c_Orderings_Obot__class_Obot(tc_fun(_u3184, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u3184, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3185), hAPP(c_Set_Oimage(_u3186, _u3185, _u3187), c_Orderings_Otop__class_Otop(tc_fun(_u3186, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3188), hAPP(c_Set_Oimage(_u3186, _u3188, hAPP(hAPP(c_COMBB(_u3185, _u3188, _u3186), _u3189), _u3187)), c_Orderings_Otop__class_Otop(tc_fun(_u3186, tc_HOL_Obool))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u3190, _u3191, _u3192, c_Orderings_Otop__class_Otop(tc_fun(_u3190, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u3190, _u3191, c_Orderings_Otop__class_Otop(tc_fun(_u3190, tc_HOL_Obool)), _u3192), hAPP(_u3192, _u3193)) = _u3193) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3195), _u3200)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3195), _u3201)) | ( hAPP(_u3199, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3195, tc_HOL_Obool)), _u3200), _u3201)) = hAPP(hAPP(_u3196, hAPP(_u3199, _u3200)), hAPP(_u3199, _u3201))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3194, _u3195, _u3196, _u3197, _u3198, _u3199) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u3202, _u3203, _u3204, _u3205, _u3206, _u3207) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3203), _u3208)) | ( hAPP(_u3207, _u3208) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3202, _u3203, _u3204), _u3206), _u3205), _u3208)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3209), _u3210)) | ~c_Fun_Oinj__on(_u3209, _u3211, _u3212, _u3210) | ( hAPP(c_Finite__Set_Ocard(_u3211), hAPP(c_Set_Oimage(_u3209, _u3211, _u3212), _u3210)) = hAPP(c_Finite__Set_Ocard(_u3209), _u3210)) )).
% 12.17/12.37 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3209), _u3210)) | ( hAPP(c_Finite__Set_Ocard(_u3211), hAPP(c_Set_Oimage(_u3209, _u3211, _u3212), _u3210)) != hAPP(c_Finite__Set_Ocard(_u3209), _u3210)) | c_Fun_Oinj__on(_u3209, _u3211, _u3212, _u3210) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3213), _u3214)) | ( hAPP(c_Finite__Set_Ocard(_u3215), hAPP(c_Set_Oimage(_u3213, _u3215, _u3216), _u3214)) != hAPP(c_Finite__Set_Ocard(_u3213), _u3214)) | c_Fun_Oinj__on(_u3213, _u3215, _u3216, _u3214) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3217), _u3218)) | 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(_u3217), _u3219)), hAPP(c_Finite__Set_Ocard(_u3217), _u3218))), hAPP(c_Finite__Set_Ocard(_u3217), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3217, tc_HOL_Obool)), _u3219), _u3218)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3220), _u3221)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3220, _u3220, c_Lattices_Osemilattice__sup__class_Osup(_u3220)), _u3222), hAPP(hAPP(c_Set_Oinsert(_u3220), _u3223), _u3221)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3220), _u3223), hAPP(hAPP(c_Finite__Set_Ofold(_u3220, _u3220, c_Lattices_Osemilattice__sup__class_Osup(_u3220)), _u3222), _u3221))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3224), _u3225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3224, tc_HOL_Obool)), _u3226), _u3225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3224), _u3226)), hAPP(c_Finite__Set_Ocard(_u3224), _u3225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3224, tc_HOL_Obool)), _u3226), _u3225)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3227) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3227), c_Orderings_Otop__class_Otop(_u3227)) = c_Orderings_Obot__class_Obot(_u3227)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3228) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3228), c_Orderings_Obot__class_Obot(_u3228)) = c_Orderings_Otop__class_Otop(_u3228)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u3233, _u3234, _u3235, c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3234), _u3236), hAPP(c_Set_Oimage(_u3233, _u3234, _u3235), c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))))) | ( _u3236 = hAPP(_u3235, skolem73(_u3236, _u3235, _u3234, _u3233))) )).
% 12.17/12.37 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u3233, _u3234, _u3235, c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3234), _u3236), hAPP(c_Set_Oimage(_u3233, _u3234, _u3235), c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))))) | ( _u3236 != hAPP(_u3235, _u3229)) | ( _u3229 = skolem73(_u3236, _u3235, _u3234, _u3233)) )).
% 12.17/12.37 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u3233, _u3234, _u3235, c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3234), _u3236), hAPP(c_Set_Oimage(_u3233, _u3234, _u3235), c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))))) | ( _u3236 != hAPP(_u3235, _u3232)) | ( _u3236 = hAPP(_u3235, skolem74(_u3236, _u3235, _u3234, _u3233, _u3232))) )).
% 12.17/12.37 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u3233, _u3234, _u3235, c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3234), _u3236), hAPP(c_Set_Oimage(_u3233, _u3234, _u3235), c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))))) | ( _u3236 != hAPP(_u3235, _u3232)) | ( skolem74(_u3236, _u3235, _u3234, _u3233, _u3232) != _u3232) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3237, _u3238, _u3239, c_Orderings_Otop__class_Otop(tc_fun(_u3237, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3238), hAPP(_u3239, _u3240)), hAPP(c_Set_Oimage(_u3237, _u3238, _u3239), _u3241))) | hBOOL(hAPP(hAPP(c_member(_u3237), _u3240), _u3241)) )).
% 12.17/12.37 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3237, _u3238, _u3239, c_Orderings_Otop__class_Otop(tc_fun(_u3237, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3237), _u3240), _u3241)) | hBOOL(hAPP(hAPP(c_member(_u3238), hAPP(_u3239, _u3240)), hAPP(c_Set_Oimage(_u3237, _u3238, _u3239), _u3241))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3242), c_Orderings_Otop__class_Otop(tc_fun(_u3242, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u3242, _u3242, _u3243, c_Orderings_Otop__class_Otop(tc_fun(_u3242, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3242, _u3242, _u3243), c_Orderings_Otop__class_Otop(tc_fun(_u3242, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u3242, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3244), c_Orderings_Otop__class_Otop(tc_fun(_u3244, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u3244, _u3244, _u3245), c_Orderings_Otop__class_Otop(tc_fun(_u3244, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3244, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3244, _u3244, _u3245, c_Orderings_Otop__class_Otop(tc_fun(_u3244, tc_HOL_Obool))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3246, _u3247, _u3248, c_Orderings_Otop__class_Otop(tc_fun(_u3246, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3247, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3246, _u3247, _u3248), _u3249)), hAPP(c_Set_Oimage(_u3246, _u3247, _u3248), _u3250))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3246, tc_HOL_Obool)), _u3249), _u3250)) )).
% 12.17/12.37 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3246, _u3247, _u3248, c_Orderings_Otop__class_Otop(tc_fun(_u3246, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3246, tc_HOL_Obool)), _u3249), _u3250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3247, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3246, _u3247, _u3248), _u3249)), hAPP(c_Set_Oimage(_u3246, _u3247, _u3248), _u3250))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u3251, _u3252, _u3253, c_Orderings_Otop__class_Otop(tc_fun(_u3251, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3251, _u3252, _u3253), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3251, tc_HOL_Obool)), _u3254), _u3255)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3252, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3251, _u3252, _u3253), _u3254)), hAPP(c_Set_Oimage(_u3251, _u3252, _u3253), _u3255))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u3256, _u3257, _u3258), c_Orderings_Otop__class_Otop(tc_fun(_u3256, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3257, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3257, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3257, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3256, _u3257, _u3258), _u3259))), hAPP(c_Set_Oimage(_u3256, _u3257, _u3258), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3256, tc_HOL_Obool)), _u3259)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u3260, _u3261, _u3262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3260), _u3263)) | ( _u3263 = c_Orderings_Obot__class_Obot(tc_fun(_u3260, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3260), _u3264)) | ( _u3264 = c_Orderings_Obot__class_Obot(tc_fun(_u3260, tc_HOL_Obool))) | ( hAPP(_u3262, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3260, tc_HOL_Obool)), _u3263), _u3264)) = hAPP(hAPP(_u3261, hAPP(_u3262, _u3263)), hAPP(_u3262, _u3264))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u3265, _u3266, _u3267, _u3268, _u3269) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3266), _u3270)) | ( hAPP(hAPP(_u3269, _u3271), _u3270) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3265, _u3266, _u3267), _u3271), _u3268), _u3270)) )).
% 12.17/12.37 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u3265, _u3266, _u3267, _u3268, _u3269) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3266), _u3270)) | ( hAPP(hAPP(_u3269, _u3271), _u3270) = _u3268) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3272), _u3273)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3272), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3272, tc_HOL_Obool)), _u3273), hAPP(hAPP(c_Set_Oinsert(_u3272), _u3274), c_Orderings_Obot__class_Obot(tc_fun(_u3272, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3272), _u3273))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3275), _u3276)) | ~hBOOL(hAPP(hAPP(c_member(_u3275), _u3277), _u3276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3275), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3275), _u3277), _u3278)), hAPP(hAPP(c_Finite__Set_Ofold(_u3275, _u3275, c_Lattices_Osemilattice__sup__class_Osup(_u3275)), _u3278), _u3276))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u3279, _u3280, _u3281, _u3282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3280, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3279, _u3280, _u3281), _u3282)), _u3283)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3280), _u3283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3279), _u3282)), hAPP(c_Finite__Set_Ocard(_u3280), _u3283))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u3284, _u3285, _u3286, _u3287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3285, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3284, _u3285, _u3286), _u3287)), _u3288)) | ~c_Fun_Oinj__on(_u3285, _u3284, _u3289, _u3288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3284, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3285, _u3284, _u3289), _u3288)), _u3287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3284), _u3287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3285), _u3288)) | ( hAPP(c_Finite__Set_Ocard(_u3284), _u3287) = hAPP(c_Finite__Set_Ocard(_u3285), _u3288)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3290), _u3291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3290, tc_HOL_Obool)), _u3291), _u3292)) | ( hAPP(c_Finite__Set_Ocard(_u3290), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3290, tc_HOL_Obool)), _u3292), _u3291)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3290), _u3292)), hAPP(c_Finite__Set_Ocard(_u3290), _u3291))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3293), _u3294)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3293, tc_HOL_Obool)), _u3294), _u3295) = hAPP(hAPP(c_Finite__Set_Ofold(_u3293, tc_fun(_u3293, tc_HOL_Obool), c_Set_Oinsert(_u3293)), _u3295), _u3294)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3296) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3296), _u3297)) | ( _u3297 = c_Orderings_Obot__class_Obot(tc_fun(_u3296, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3296), _u3298)) | ( _u3298 = c_Orderings_Obot__class_Obot(tc_fun(_u3296, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u3296, c_Groups_Otimes__class_Otimes(_u3296)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3296, tc_HOL_Obool)), _u3297), _u3298)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3296), hAPP(c_Finite__Set_Ofold1(_u3296, c_Groups_Otimes__class_Otimes(_u3296)), _u3297)), hAPP(c_Finite__Set_Ofold1(_u3296, c_Groups_Otimes__class_Otimes(_u3296)), _u3298))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3301), _u3302)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3303), _u3304)) | ~c_Fun_Oinj__on(_u3301, _u3303, _u3299, _u3302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3303, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3301, _u3303, _u3299), _u3302)), _u3304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3301), _u3302)), hAPP(c_Finite__Set_Ocard(_u3303), _u3304))) )).
% 12.17/12.37 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3301), _u3302)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3303), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3301), _u3302)), hAPP(c_Finite__Set_Ocard(_u3303), _u3304))) | c_Fun_Oinj__on(_u3301, _u3303, skolem75(_u3304, _u3303, _u3302, _u3301), _u3302) )).
% 12.17/12.37 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3301), _u3302)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3303), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3301), _u3302)), hAPP(c_Finite__Set_Ocard(_u3303), _u3304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3303, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3301, _u3303, skolem75(_u3304, _u3303, _u3302, _u3301)), _u3302)), _u3304)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3305), _u3306)) | ~hBOOL(hAPP(hAPP(c_member(_u3305), _u3307), _u3306)) | ( hAPP(c_Finite__Set_Ocard(_u3305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3305, tc_HOL_Obool)), _u3306), hAPP(hAPP(c_Set_Oinsert(_u3305), _u3307), c_Orderings_Obot__class_Obot(tc_fun(_u3305, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3305), _u3306)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.37 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3305), _u3306)) | hBOOL(hAPP(hAPP(c_member(_u3305), _u3307), _u3306)) | ( hAPP(c_Finite__Set_Ocard(_u3305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3305, tc_HOL_Obool)), _u3306), hAPP(hAPP(c_Set_Oinsert(_u3305), _u3307), c_Orderings_Obot__class_Obot(tc_fun(_u3305, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u3305), _u3306)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3308), _u3309)) | ~hBOOL(hAPP(hAPP(c_member(_u3308), _u3310), _u3309)) | ( hAPP(c_Finite__Set_Ocard(_u3308), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3308, tc_HOL_Obool)), _u3309), hAPP(hAPP(c_Set_Oinsert(_u3308), _u3310), c_Orderings_Obot__class_Obot(tc_fun(_u3308, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3308), _u3309)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3311), _u3312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3313), _u3311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3311), _u3313)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3312), _u3313))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3314), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3314), _u3316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3315), _u3314)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3316), _u3314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3315), _u3316)) )).
% 12.17/12.37 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3314), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3314), _u3316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3315), _u3316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3315), _u3314)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3316), _u3314))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3317), _u3318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3317), _u3319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3319), _u3318)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3319), _u3317))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3320), _u3321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3320), _u3322)), _u3321)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3323), _u3324)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3324), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3323), _u3324)) = _u3323) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3328), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3330), _u3332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3328), _u3332)), _u3330)) )).
% 12.17/12.37 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), _u3329), _u3333)), _u3331)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3329), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3331), _u3333))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 12.17/12.37 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)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3334), _u3334)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3335), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3336), _u3335))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3337), _u3338))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 12.17/12.37 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)), _u3339), _u3340) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3345), _u3347)) | ( _u3347 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3345), skolem76(_u3347, _u3345))) )).
% 12.17/12.37 cnf(fact_le__iff__add-2, axiom, ( ( _u3348 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3346), _u3342)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3346), _u3348)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3349), _u3350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3350), _u3349)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3356), _u3358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3354), _u3356)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3354), _u3358))) )).
% 12.17/12.37 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3357), _u3359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3355), _u3357)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3355), _u3359))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_eq__imp__le-1, axiom, ( ( _u3360 != _u3361) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3360), _u3361)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3362), _u3363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3363), _u3364))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3365), _u3366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3367), _u3366))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3368), _u3369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3368), _u3370)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3369), _u3370))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3371), _u3372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3372), _u3373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3371), _u3373)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3374), _u3375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3375), _u3374)) | ( _u3374 = _u3375) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3376), _u3377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3378), _u3379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3376), _u3378)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3377), _u3379))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3381), _u3382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3380), _u3381)), _u3382)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3383), _u3384)), _u3385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3383), _u3385)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3386), _u3387)), _u3388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3386), _u3388)) )).
% 12.17/12.37 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), _u3386), _u3387)), _u3388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3387), _u3388)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3394)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3389), _u3394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3389), skolem77(_u3394))) )).
% 12.17/12.37 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3395)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem78(_u3395, _u3392)), _u3395)) )).
% 12.17/12.37 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem78(_u3395, _u3392)), _u3392)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3399), _u3401) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3403), _u3401)) | ( _u3399 = _u3403) )).
% 12.17/12.37 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u3400 != _u3404) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3400), _u3402) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3404), _u3402)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u3410 = _u3412) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3408), _u3410) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3408), _u3412)) )).
% 12.17/12.37 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u3411 != _u3413) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3409), _u3411) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3409), _u3413)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3414), _u3415)), _u3416) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3415), _u3416))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3418), _u3419)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3418), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3417), _u3419))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3420), _u3421) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3421), _u3420)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u3422) | ( c_Groups_Oone__class_Oone(_u3422) != _u3423) | ( _u3423 = c_Groups_Oone__class_Oone(_u3422)) )).
% 12.17/12.37 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u3422) | ( _u3423 != c_Groups_Oone__class_Oone(_u3422)) | ( c_Groups_Oone__class_Oone(_u3422) = _u3423) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3426), _u3428) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3426 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3426), _u3428) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3428 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u3427 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3429 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3427), _u3429) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3430), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3430) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3433), _u3435)) | ( _u3433 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.37 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), _u3433), _u3435)) | ( _u3435 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u3434 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3436 != 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), _u3434), _u3436)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 12.17/12.37 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)), _u3437) = _u3437) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3438), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3439), _u3440)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3438), _u3439)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3438), _u3440))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3441), _u3442)), _u3443) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3441), _u3443)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3442), _u3443))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3444), _u3445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3446), _u3447)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3444), _u3446)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3445), _u3447))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3448), _u3449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3450), _u3448)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3450), _u3449))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3451), _u3452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3451), _u3453)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3453))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3454), _u3454)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__square ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3455), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3455))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3456) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3456), _u3457), c_Groups_Oone__class_Oone(_u3456)) = _u3457) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u3458) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3458), _u3459), c_Groups_Oone__class_Oone(_u3458)) = _u3459) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3460) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3460), c_Groups_Oone__class_Oone(_u3460)), _u3461) = _u3461) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u3462) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3462), c_Groups_Oone__class_Oone(_u3462)), _u3463) = _u3463) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3464) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3464), c_Groups_Oone__class_Oone(_u3464)), _u3465) = _u3465) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3466) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3466), _u3467), c_Groups_Oone__class_Oone(_u3466)) = _u3467) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3470), _u3471)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3470, tc_Nat_Onat), _u3472), _u3471) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3470), _u3468), _u3471)) | ( hAPP(_u3472, _u3468) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3470), _u3471)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3470, tc_Nat_Onat), _u3472), _u3471) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3470), skolem79(_u3472, _u3471, _u3470)), _u3471)) )).
% 12.17/12.37 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3470), _u3471)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3470, tc_Nat_Onat), _u3472), _u3471) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3472, skolem79(_u3472, _u3471, _u3470)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3473) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3474, _u3473), hAPP(c_COMBK(_u3473, _u3474), c_Groups_Oone__class_Oone(_u3473))), _u3475) = c_Groups_Oone__class_Oone(_u3473)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3476) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3476), _u3477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3476), _u3477), c_Groups_Oone__class_Oone(_u3476)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3478), c_Groups_Oone__class_Oone(_u3478)), _u3479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3478), c_Groups_Oone__class_Oone(_u3478)), _u3480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3478), c_Groups_Oone__class_Oone(_u3478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3478), _u3479), _u3480))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3481) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3481), _u3482), _u3483)), _u3483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3481), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), _u3482), c_Groups_Oone__class_Oone(_u3481))), _u3483)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3484) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3484), _u3485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3484), _u3486), _u3485)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3484), _u3486), c_Groups_Oone__class_Oone(_u3484))), _u3485)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3487) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3487), _u3488), _u3488) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3487), c_Groups_Oone__class_Oone(_u3487)), c_Groups_Oone__class_Oone(_u3487))), _u3488)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u3489) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3489), _u3490) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3489), hAPP(c_Groups_Ouminus__class_Ouminus(_u3489), c_Groups_Oone__class_Oone(_u3489))), _u3490)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u3491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3491), _u3492), _u3492) != c_Groups_Oone__class_Oone(_u3491)) | ( _u3492 = c_Groups_Oone__class_Oone(_u3491)) | ( _u3492 = hAPP(c_Groups_Ouminus__class_Ouminus(_u3491), c_Groups_Oone__class_Oone(_u3491))) )).
% 12.17/12.37 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u3491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3491), _u3492), _u3492) = c_Groups_Oone__class_Oone(_u3491)) | ( _u3492 != c_Groups_Oone__class_Oone(_u3491)) )).
% 12.17/12.37 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u3491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3491), _u3492), _u3492) = c_Groups_Oone__class_Oone(_u3491)) | ( _u3492 != hAPP(c_Groups_Ouminus__class_Ouminus(_u3491), c_Groups_Oone__class_Oone(_u3491))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3493) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3494, _u3493), _u3495), c_Orderings_Obot__class_Obot(tc_fun(_u3494, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u3493)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3496) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3497, _u3496), _u3498), c_Orderings_Obot__class_Obot(tc_fun(_u3497, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u3496)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3499) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3500), _u3501)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3500, _u3499), _u3502), _u3501) = c_Groups_Oone__class_Oone(_u3499)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3503) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3504), _u3505)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3504, _u3503), _u3506), _u3505) = c_Groups_Oone__class_Oone(_u3503)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3507), _u3508) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3507, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u3507), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3508)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3511), _u3513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3511), _u3513)) )).
% 12.17/12.37 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3511), _u3513)) | ( _u3511 != _u3513) )).
% 12.17/12.37 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3512), _u3514)) | ( _u3512 = _u3514) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3512), _u3514)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3517), _u3519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3517), _u3519)) | ( _u3517 = _u3519) )).
% 12.17/12.37 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3518), _u3520)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3518), _u3520)) )).
% 12.17/12.37 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3518), _u3520)) | ( _u3518 != _u3520) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3521), _u3522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3521), _u3522)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3523), _u3524)) | ( _u3523 = _u3524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3523), _u3524)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3525), _u3526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3525), _u3526)) )).
% 12.17/12.37 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3525), _u3526)) | ( _u3525 != _u3526) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3527), _u3528)), _u3529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3527), _u3529)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3530), _u3531)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3532), _u3531) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3530), _u3533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3532), _u3533)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3534), _u3535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3536), _u3537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3534), _u3536)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3535), _u3537))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3538), _u3539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3538), _u3540)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3539), _u3540))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3541), _u3542)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3541), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3543), _u3542))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3544), _u3545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3544), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3545), _u3546))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3552), _u3554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3550), _u3552)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3550), _u3554))) )).
% 12.17/12.37 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3553), _u3555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3551), _u3553)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3551), _u3555))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3556), _u3557)), _u3557)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3558), _u3559)), _u3558)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3560), _u3560)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__neq__iff-1, axiom, ( ( _u3563 = _u3565) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3563), _u3565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3565), _u3563)) )).
% 12.17/12.37 cnf(fact_nat__neq__iff-2, axiom, ( ( _u3564 != _u3566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3564), _u3566)) )).
% 12.17/12.37 cnf(fact_nat__neq__iff-3, axiom, ( ( _u3564 != _u3566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3566), _u3564)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u3567 = _u3568) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3567), _u3568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3568), _u3567)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3569), _u3569)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3570), _u3571)) | ( _u3571 != _u3570) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3572), _u3573)) | ( _u3572 != _u3573) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3574), _u3575)) | ( _u3574 = _u3575) | hBOOL(hAPP(hAPP(_u3576, _u3575), _u3574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3575), _u3574)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3582)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3577), _u3582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3577), skolem80(_u3582))) )).
% 12.17/12.37 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3583)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem81(_u3583, _u3580)), _u3583)) )).
% 12.17/12.37 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem81(_u3583, _u3580)), _u3580)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3585), _u3586)) | ~hBOOL(hAPP(hAPP(c_member(_u3585), _u3587), _u3586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3585, _u3584), hAPP(hAPP(c_COMBC(_u3585, _u3584, _u3584), hAPP(hAPP(c_COMBS(_u3585, _u3584, tc_fun(_u3584, _u3584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3584, tc_fun(_u3584, _u3584)), _u3585), c_If(_u3584)), hAPP(hAPP(c_COMBC(_u3585, _u3585, tc_HOL_Obool), c_fequal), _u3587))), _u3588)), c_Groups_Oone__class_Oone(_u3584))), _u3586) = hAPP(_u3588, _u3587)) )).
% 12.17/12.37 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3585), _u3586)) | hBOOL(hAPP(hAPP(c_member(_u3585), _u3587), _u3586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3585, _u3584), hAPP(hAPP(c_COMBC(_u3585, _u3584, _u3584), hAPP(hAPP(c_COMBS(_u3585, _u3584, tc_fun(_u3584, _u3584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3584, tc_fun(_u3584, _u3584)), _u3585), c_If(_u3584)), hAPP(hAPP(c_COMBC(_u3585, _u3585, tc_HOL_Obool), c_fequal), _u3587))), _u3588)), c_Groups_Oone__class_Oone(_u3584))), _u3586) = c_Groups_Oone__class_Oone(_u3584)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3590), _u3591)) | ~hBOOL(hAPP(hAPP(c_member(_u3590), _u3592), _u3591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3590, _u3589), hAPP(hAPP(c_COMBC(_u3590, _u3589, _u3589), hAPP(hAPP(c_COMBS(_u3590, _u3589, tc_fun(_u3589, _u3589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3589, tc_fun(_u3589, _u3589)), _u3590), c_If(_u3589)), hAPP(c_fequal, _u3592))), _u3593)), c_Groups_Oone__class_Oone(_u3589))), _u3591) = hAPP(_u3593, _u3592)) )).
% 12.17/12.37 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3590), _u3591)) | hBOOL(hAPP(hAPP(c_member(_u3590), _u3592), _u3591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3590, _u3589), hAPP(hAPP(c_COMBC(_u3590, _u3589, _u3589), hAPP(hAPP(c_COMBS(_u3590, _u3589, tc_fun(_u3589, _u3589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3589, tc_fun(_u3589, _u3589)), _u3590), c_If(_u3589)), hAPP(c_fequal, _u3592))), _u3593)), c_Groups_Oone__class_Oone(_u3589))), _u3591) = c_Groups_Oone__class_Oone(_u3589)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3594), _u3595)), _u3595) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u3594), _u3595)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3596), _u3597)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3598), _u3597)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u3596), _u3598)), _u3597)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3600), _u3601)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3599), _u3600)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3599), _u3601))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3602), _u3603)), _u3604) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3602), _u3604)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3603), _u3604))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3605), _u3606)), _u3606) = _u3605) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3607), _u3608)), _u3607) = _u3608) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3609), _u3610)), _u3611) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3609), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3610), _u3611))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3612), _u3613)), _u3614) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3612), _u3614)), _u3613)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3615), _u3616)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3615), _u3617)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3616), _u3617)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3618), _u3619)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3620), _u3619)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3618), _u3620)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3621), _u3622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3621), _u3623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3622), _u3621)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3621))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3622), _u3623)) )).
% 12.17/12.37 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3621), _u3622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3621), _u3623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3622), _u3623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3622), _u3621)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3621))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3624), _u3625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3624), _u3626)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3625), _u3624)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3626), _u3624)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3625), _u3626)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3627), _u3628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3627), _u3629)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3628), _u3627) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3629), _u3627)) | ( _u3628 = _u3629) )).
% 12.17/12.37 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3627), _u3628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3627), _u3629)) | ( _u3628 != _u3629) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3628), _u3627) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3629), _u3627)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3630), _u3631)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3631), _u3632)), _u3630) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3631), _u3630)), _u3632)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3633), _u3634)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3633)), _u3635) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3634), _u3635)), _u3633)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3636), _u3637)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3638), _u3637)), _u3636) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3637), _u3636))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3639), _u3640)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3640), _u3639) != _u3641) | ( _u3640 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3641), _u3639)) )).
% 12.17/12.37 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3639), _u3640)) | ( _u3640 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3641), _u3639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3640), _u3639) = _u3641) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3642), _u3643)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3643), _u3642)), _u3642) = _u3643) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__diff__conv2-1, axiom, ( ~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), _u3646), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3645), _u3644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3646), _u3644)), _u3645)) )).
% 12.17/12.37 cnf(fact_le__diff__conv2-2, axiom, ( ~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_Oplus__class_Oplus(tc_Nat_Onat), _u3646), _u3644)), _u3645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3646), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3645), _u3644))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3647), _u3648)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3649), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3648), _u3647)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3649), _u3648)), _u3647)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3650), _u3651)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3651), _u3650)) = _u3651) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3652), _u3653)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3653), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3653), _u3652)) = _u3652) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3654), _u3655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3654), _u3656)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3655), _u3656))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3657), _u3658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3659), _u3658)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3659), _u3657))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3660), _u3661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3662), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3661), _u3662)), _u3660))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3666), _u3668)), _u3670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3666), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3670), _u3668))) )).
% 12.17/12.37 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3667), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3671), _u3669))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3667), _u3669)), _u3671)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3672), _u3673)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3674), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3673), _u3672)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3674), _u3672)), _u3673)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3675), _u3676)), _u3675)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3677) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3678), _u3679)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3677, _u3678, c_Groups_Otimes__class_Otimes(_u3677)), hAPP(hAPP(c_COMBS(_u3678, _u3677, _u3677), hAPP(hAPP(c_COMBB(_u3677, tc_fun(_u3677, _u3677), _u3678), c_Groups_Otimes__class_Otimes(_u3677)), _u3680)), _u3681)), c_Groups_Oone__class_Oone(_u3677)), _u3679) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3677), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3677, _u3678, c_Groups_Otimes__class_Otimes(_u3677)), _u3680), c_Groups_Oone__class_Oone(_u3677)), _u3679)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3677, _u3678, c_Groups_Otimes__class_Otimes(_u3677)), _u3681), c_Groups_Oone__class_Oone(_u3677)), _u3679))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3682), _u3683)) | hBOOL(hAPP(hAPP(c_member(_u3682), _u3684), _u3683)) | ( hAPP(c_Finite__Set_Ocard(_u3682), hAPP(hAPP(c_Set_Oinsert(_u3682), _u3684), _u3683)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3682), _u3683))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3685) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3686), _u3687)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3686, _u3685), _u3688), _u3687) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3685, _u3686, c_Groups_Otimes__class_Otimes(_u3685)), _u3688), c_Groups_Oone__class_Oone(_u3685)), _u3687)) )).
% 12.17/12.37 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3685) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3686), _u3687)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3686, _u3685), _u3688), _u3687) = c_Groups_Oone__class_Oone(_u3685)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3690), _u3691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3690, _u3689), _u3692), _u3691) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3689, _u3690, c_Groups_Otimes__class_Otimes(_u3689)), _u3692), c_Groups_Oone__class_Oone(_u3689)), _u3691)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3693), _u3694)) | ( hAPP(c_Finite__Set_Ocard(_u3693), hAPP(hAPP(c_Set_Oinsert(_u3693), _u3695), _u3694)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3693), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3693, tc_HOL_Obool)), _u3694), hAPP(hAPP(c_Set_Oinsert(_u3693), _u3695), c_Orderings_Obot__class_Obot(tc_fun(_u3693, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3696), _u3697)) | ~hBOOL(hAPP(hAPP(c_member(_u3696), _u3698), _u3697)) | ( hAPP(c_Finite__Set_Ocard(_u3696), _u3697) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3696), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3696, tc_HOL_Obool)), _u3697), hAPP(hAPP(c_Set_Oinsert(_u3696), _u3698), c_Orderings_Obot__class_Obot(tc_fun(_u3696, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3699), _u3700)) | ~hBOOL(hAPP(hAPP(c_member(_u3699), _u3701), _u3700)) | hBOOL(hAPP(hAPP(c_member(_u3699), _u3701), _u3702)) | ( hAPP(c_Finite__Set_Ocard(_u3699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3699, tc_HOL_Obool)), _u3700), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3701), _u3702))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3699, tc_HOL_Obool)), _u3700), _u3702))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3703), _u3704)) | ~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), _u3703), _u3705)), _u3706)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3704), _u3705)), _u3707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3706), 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), _u3704), _u3703)), _u3705)), _u3707))) )).
% 12.17/12.37 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3703), _u3704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3706), 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), _u3704), _u3703)), _u3705)), _u3707))) | 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), _u3703), _u3705)), _u3706)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3704), _u3705)), _u3707))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3708), _u3709)) | ~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), _u3709), _u3710)), _u3711)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3708), _u3710)), _u3712))) | 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), _u3709), _u3708)), _u3710)), _u3711)), _u3712)) )).
% 12.17/12.37 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3708), _u3709)) | ~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), _u3709), _u3708)), _u3710)), _u3711)), _u3712)) | 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), _u3709), _u3710)), _u3711)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3708), _u3710)), _u3712))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3713), _u3714)) | ~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), _u3714), _u3715)), _u3716)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3713), _u3715)), _u3717))) | 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), _u3714), _u3713)), _u3715)), _u3716)), _u3717)) )).
% 12.17/12.37 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3713), _u3714)) | ~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), _u3714), _u3713)), _u3715)), _u3716)), _u3717)) | 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), _u3714), _u3715)), _u3716)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3713), _u3715)), _u3717))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3718), _u3719)) | ( 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), _u3719), _u3720)), _u3721)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3718), _u3720)), _u3722)) = 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), _u3719), _u3718)), _u3720)), _u3721)), _u3722)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3723), _u3724)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3724), _u3725)), _u3726) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3723), _u3725)), _u3727)) | ( 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), _u3724), _u3723)), _u3725)), _u3726) = _u3727) )).
% 12.17/12.37 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3723), _u3724)) | ( 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), _u3724), _u3723)), _u3725)), _u3726) != _u3727) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3724), _u3725)), _u3726) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3723), _u3725)), _u3727)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3728), _u3729)) | ~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), _u3728), _u3730)), _u3731)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3729), _u3730)), _u3732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3731), 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), _u3729), _u3728)), _u3730)), _u3732))) )).
% 12.17/12.37 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3728), _u3729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3731), 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), _u3729), _u3728)), _u3730)), _u3732))) | 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), _u3728), _u3730)), _u3731)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3729), _u3730)), _u3732))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3733), _u3734)) | ( 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), _u3733), _u3735)), _u3736)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3734), _u3735)), _u3737)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3736), 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), _u3734), _u3733)), _u3735)), _u3737))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3738), _u3739)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3738), _u3740)), _u3741) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3739), _u3740)), _u3742)) | ( _u3741 = 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), _u3739), _u3738)), _u3740)), _u3742)) )).
% 12.17/12.37 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3738), _u3739)) | ( _u3741 != 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), _u3739), _u3738)), _u3740)), _u3742)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3738), _u3740)), _u3741) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3739), _u3740)), _u3742)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 12.17/12.37 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)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3743), _u3744)), _u3745) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3744), _u3745))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3746), _u3747) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3747), _u3746)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3748), _u3749)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3750), _u3749)), _u3751)) = 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), _u3748), _u3750)), _u3749)), _u3751)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u3760, _u3758), _u3762)) | ~hBOOL(hAPP(hAPP(c_member(_u3756), _u3758), c_SetInterval_Oord_OatMost(_u3756, _u3760, _u3762))) )).
% 12.17/12.37 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u3761, _u3759), _u3763)) | hBOOL(hAPP(hAPP(c_member(_u3757), _u3759), c_SetInterval_Oord_OatMost(_u3757, _u3761, _u3763))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u3772, _u3774), _u3770)) | ~hBOOL(hAPP(hAPP(c_member(_u3768), _u3770), c_SetInterval_Oord_OatLeast(_u3768, _u3772, _u3774))) )).
% 12.17/12.37 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u3773, _u3775), _u3771)) | hBOOL(hAPP(hAPP(c_member(_u3769), _u3771), c_SetInterval_Oord_OatLeast(_u3769, _u3773, _u3775))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u3784, _u3782), _u3786)) | ~hBOOL(hAPP(hAPP(c_member(_u3780), _u3782), c_SetInterval_Oord_OlessThan(_u3780, _u3784, _u3786))) )).
% 12.17/12.37 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u3785, _u3783), _u3787)) | hBOOL(hAPP(hAPP(c_member(_u3781), _u3783), c_SetInterval_Oord_OlessThan(_u3781, _u3785, _u3787))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u3796, _u3798), _u3794)) | ~hBOOL(hAPP(hAPP(c_member(_u3792), _u3794), c_SetInterval_Oord_OgreaterThan(_u3792, _u3796, _u3798))) )).
% 12.17/12.37 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u3797, _u3799), _u3795)) | hBOOL(hAPP(hAPP(c_member(_u3793), _u3795), c_SetInterval_Oord_OgreaterThan(_u3793, _u3797, _u3799))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3805), _u3807), c_SetInterval_Oord_OatLeastAtMost(_u3805, _u3809, _u3811, _u3813))) | hBOOL(hAPP(hAPP(_u3809, _u3811), _u3807)) )).
% 12.17/12.37 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3805), _u3807), c_SetInterval_Oord_OatLeastAtMost(_u3805, _u3809, _u3811, _u3813))) | hBOOL(hAPP(hAPP(_u3809, _u3807), _u3813)) )).
% 12.17/12.37 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u3810, _u3812), _u3808)) | ~hBOOL(hAPP(hAPP(_u3810, _u3808), _u3814)) | hBOOL(hAPP(hAPP(c_member(_u3806), _u3808), c_SetInterval_Oord_OatLeastAtMost(_u3806, _u3810, _u3812, _u3814))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3820), _u3822), c_SetInterval_Oord_OgreaterThanLessThan(_u3820, _u3824, _u3826, _u3828))) | hBOOL(hAPP(hAPP(_u3824, _u3826), _u3822)) )).
% 12.17/12.37 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3820), _u3822), c_SetInterval_Oord_OgreaterThanLessThan(_u3820, _u3824, _u3826, _u3828))) | hBOOL(hAPP(hAPP(_u3824, _u3822), _u3828)) )).
% 12.17/12.37 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u3825, _u3827), _u3823)) | ~hBOOL(hAPP(hAPP(_u3825, _u3823), _u3829)) | hBOOL(hAPP(hAPP(c_member(_u3821), _u3823), c_SetInterval_Oord_OgreaterThanLessThan(_u3821, _u3825, _u3827, _u3829))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3836), _u3838), c_SetInterval_Oord_OatLeastLessThan(_u3836, _u3840, _u3842, _u3844, _u3846))) | hBOOL(hAPP(hAPP(_u3840, _u3844), _u3838)) )).
% 12.17/12.37 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3836), _u3838), c_SetInterval_Oord_OatLeastLessThan(_u3836, _u3840, _u3842, _u3844, _u3846))) | hBOOL(hAPP(hAPP(_u3842, _u3838), _u3846)) )).
% 12.17/12.37 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u3841, _u3845), _u3839)) | ~hBOOL(hAPP(hAPP(_u3843, _u3839), _u3847)) | hBOOL(hAPP(hAPP(c_member(_u3837), _u3839), c_SetInterval_Oord_OatLeastLessThan(_u3837, _u3841, _u3843, _u3845, _u3847))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3854), _u3856), c_SetInterval_Oord_OgreaterThanAtMost(_u3854, _u3858, _u3860, _u3862, _u3864))) | hBOOL(hAPP(hAPP(_u3860, _u3862), _u3856)) )).
% 12.17/12.37 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3854), _u3856), c_SetInterval_Oord_OgreaterThanAtMost(_u3854, _u3858, _u3860, _u3862, _u3864))) | hBOOL(hAPP(hAPP(_u3858, _u3856), _u3864)) )).
% 12.17/12.37 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u3861, _u3863), _u3857)) | ~hBOOL(hAPP(hAPP(_u3859, _u3857), _u3865)) | hBOOL(hAPP(hAPP(c_member(_u3855), _u3857), c_SetInterval_Oord_OgreaterThanAtMost(_u3855, _u3859, _u3861, _u3863, _u3865))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3866) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3867), _u3868)) | ~hBOOL(hAPP(hAPP(c_member(_u3867), _u3869), _u3868)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3867, _u3866), hAPP(hAPP(c_COMBC(_u3867, _u3866, _u3866), hAPP(hAPP(c_COMBS(_u3867, _u3866, tc_fun(_u3866, _u3866)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3866, tc_fun(_u3866, _u3866)), _u3867), c_If(_u3866)), hAPP(hAPP(c_COMBC(_u3867, _u3867, tc_HOL_Obool), c_fequal), _u3869))), _u3870)), _u3871)), _u3868) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3866), hAPP(_u3870, _u3869)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3866), _u3871), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3867), _u3868)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.17/12.37 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3866) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3867), _u3868)) | hBOOL(hAPP(hAPP(c_member(_u3867), _u3869), _u3868)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3867, _u3866), hAPP(hAPP(c_COMBC(_u3867, _u3866, _u3866), hAPP(hAPP(c_COMBS(_u3867, _u3866, tc_fun(_u3866, _u3866)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3866, tc_fun(_u3866, _u3866)), _u3867), c_If(_u3866)), hAPP(hAPP(c_COMBC(_u3867, _u3867, tc_HOL_Obool), c_fequal), _u3869))), _u3870)), _u3871)), _u3868) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3866), _u3871), hAPP(c_Finite__Set_Ocard(_u3867), _u3868))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3872), _u3873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3872), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3873), _u3874))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3875), _u3876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3877), _u3876))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3878), _u3879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3878), _u3879)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3880), _u3881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3880), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3881))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3883), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3883), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3884), _u3885))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u3886) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3886), _u3887)) | ~hBOOL(hAPP(hAPP(c_member(_u3886), _u3888), _u3887)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3886, tc_HOL_Obool)), _u3887), hAPP(hAPP(c_Set_Oinsert(_u3886), _u3888), c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3886, _u3887) = _u3888) )).
% 12.17/12.37 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u3886) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3886), _u3887)) | ~hBOOL(hAPP(hAPP(c_member(_u3886), _u3888), _u3887)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3886, tc_HOL_Obool)), _u3887), hAPP(hAPP(c_Set_Oinsert(_u3886), _u3888), c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3886, _u3887) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3886), _u3888), c_Big__Operators_Olattice__class_OSup__fin(_u3886, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3886, tc_HOL_Obool)), _u3887), hAPP(hAPP(c_Set_Oinsert(_u3886), _u3888), c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool))))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3889), _u3890), c_Orderings_Otop__class_Otop(tc_fun(_u3889, tc_HOL_Obool)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3891) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3891), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3891), _u3892), _u3893)), _u3894) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3891), hAPP(hAPP(c_Power_Opower__class_Opower(_u3891), _u3892), _u3894)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3891), _u3893), _u3894))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3895) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3895), hAPP(hAPP(c_Power_Opower__class_Opower(_u3895), _u3896), _u3897)), _u3898) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3895), _u3896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3897), _u3898))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3899) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3899), _u3900), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3900) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3901) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3901), hAPP(hAPP(c_Power_Opower__class_Opower(_u3901), _u3902), _u3903)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3901), _u3902), _u3904)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3901), _u3902), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3903), _u3904))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u3905) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3905, hAPP(hAPP(c_Set_Oinsert(_u3905), _u3906), c_Orderings_Obot__class_Obot(tc_fun(_u3905, tc_HOL_Obool)))) = _u3906) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3907) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3908), _u3909)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3908, _u3907), hAPP(c_COMBK(_u3907, _u3908), _u3910)), _u3909) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3907), _u3910), hAPP(c_Finite__Set_Ocard(_u3908), _u3909))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u3911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3911), _u3912)) | ~hBOOL(hAPP(hAPP(c_member(_u3911), _u3913), _u3912)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3911), _u3913), c_Big__Operators_Olattice__class_OSup__fin(_u3911, _u3912)) = c_Big__Operators_Olattice__class_OSup__fin(_u3911, _u3912)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u3914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3914), _u3915)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3914, _u3915) = hAPP(c_Finite__Set_Ofold1(_u3914, c_Lattices_Osemilattice__sup__class_Osup(_u3914)), _u3915)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u3916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3916), _u3917)) | ( _u3917 = c_Orderings_Obot__class_Obot(tc_fun(_u3916, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3916, hAPP(hAPP(c_Set_Oinsert(_u3916), _u3918), _u3917)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3916), _u3918), c_Big__Operators_Olattice__class_OSup__fin(_u3916, _u3917))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u3919) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3919), _u3920)) | ( _u3921 = c_Orderings_Obot__class_Obot(tc_fun(_u3919, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3919, tc_HOL_Obool)), _u3921), _u3920)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3919), c_Big__Operators_Olattice__class_OSup__fin(_u3919, _u3921)), c_Big__Operators_Olattice__class_OSup__fin(_u3919, _u3920)) = c_Big__Operators_Olattice__class_OSup__fin(_u3919, _u3920)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u3922) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3922), _u3923)) | ( _u3923 = c_Orderings_Obot__class_Obot(tc_fun(_u3922, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3922), _u3924)) | ( _u3924 = c_Orderings_Obot__class_Obot(tc_fun(_u3922, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3922, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3922, tc_HOL_Obool)), _u3923), _u3924)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3922), c_Big__Operators_Olattice__class_OSup__fin(_u3922, _u3923)), c_Big__Operators_Olattice__class_OSup__fin(_u3922, _u3924))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u3925) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3925), _u3926)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3925, hAPP(hAPP(c_Set_Oinsert(_u3925), _u3927), _u3926)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3925, _u3925, c_Lattices_Osemilattice__sup__class_Osup(_u3925)), _u3927), _u3926)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u3928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3928), _u3929)) | hBOOL(hAPP(hAPP(c_member(_u3928), _u3930), _u3929)) | ( _u3929 = c_Orderings_Obot__class_Obot(tc_fun(_u3928, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3928, hAPP(hAPP(c_Set_Oinsert(_u3928), _u3930), _u3929)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3928), _u3930), c_Big__Operators_Olattice__class_OSup__fin(_u3928, _u3929))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u3931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3932)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3931, tc_HOL_Obool)), _u3932), hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3931, hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), _u3932)) = _u3933) )).
% 12.17/12.38 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u3931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3932)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3931, tc_HOL_Obool)), _u3932), hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3931, hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), _u3932)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3931), _u3933), c_Big__Operators_Olattice__class_OSup__fin(_u3931, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3931, tc_HOL_Obool)), _u3932), hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool))))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u3934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3934), _u3935)) | hBOOL(hAPP(hAPP(c_member(_u3934), _u3936), _u3935)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3934, hAPP(hAPP(c_Set_Oinsert(_u3934), _u3936), _u3935)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3934, _u3934, c_Lattices_Osemilattice__sup__class_Osup(_u3934)), _u3936), _u3935)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3937), c_Groups_Oone__class_Oone(_u3937)), _u3938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3937), hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), _u3938), _u3939)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), _u3938), _u3940))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3939), _u3940)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3941), c_Groups_Oone__class_Oone(_u3941)), _u3942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3941), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3943)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3943), _u3944)) )).
% 12.17/12.38 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u3941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3941), c_Groups_Oone__class_Oone(_u3941)), _u3942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3943), _u3944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3941), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3943)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3944))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u3945) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3945), hAPP(c_Groups_Ouminus__class_Ouminus(_u3945), _u3946)), _u3947) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3945), hAPP(hAPP(c_Power_Opower__class_Opower(_u3945), hAPP(c_Groups_Ouminus__class_Ouminus(_u3945), c_Groups_Oone__class_Oone(_u3945))), _u3947)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3945), _u3946), _u3947))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3949), _u3950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3948), c_Groups_Oone__class_Oone(_u3948)), _u3951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3948), hAPP(hAPP(c_Power_Opower__class_Opower(_u3948), _u3951), _u3949)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3948), _u3951), _u3950))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3953), _u3954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3952), c_Groups_Oone__class_Oone(_u3952)), _u3955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3952), hAPP(hAPP(c_Power_Opower__class_Opower(_u3952), _u3955), _u3953)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3952), _u3955), _u3954))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3956), c_Groups_Oone__class_Oone(_u3956)), _u3957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3956), hAPP(hAPP(c_Power_Opower__class_Opower(_u3956), _u3957), _u3958)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3956), _u3957), _u3959))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3958), _u3959)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), c_Groups_Oone__class_Oone(_u3960)), _u3961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), hAPP(hAPP(c_Power_Opower__class_Opower(_u3960), _u3961), _u3962)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3960), _u3961), _u3963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3962), _u3963)) )).
% 12.17/12.38 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u3960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), c_Groups_Oone__class_Oone(_u3960)), _u3961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3962), _u3963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), hAPP(hAPP(c_Power_Opower__class_Opower(_u3960), _u3961), _u3962)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3960), _u3961), _u3963))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3964), c_Groups_Oone__class_Oone(_u3964)), _u3965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3964), hAPP(hAPP(c_Power_Opower__class_Opower(_u3964), _u3965), _u3966)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3964), _u3965), hAPP(hAPP(c_Power_Opower__class_Opower(_u3964), _u3965), _u3966)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u3967) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3967), hAPP(hAPP(c_Power_Opower__class_Opower(_u3967), _u3968), _u3969)), _u3968) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3967), _u3968), hAPP(hAPP(c_Power_Opower__class_Opower(_u3967), _u3968), _u3969))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3970) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3970), _u3971), _u3972)), _u3973) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3970), hAPP(hAPP(c_Power_Opower__class_Opower(_u3970), _u3971), _u3973)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3970), _u3972), _u3973))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__one ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u3974) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3974), c_Groups_Oone__class_Oone(_u3974)), _u3975) = c_Groups_Oone__class_Oone(_u3974)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u3976) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3976), _u3977), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3978), _u3979)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3976), hAPP(hAPP(c_Power_Opower__class_Opower(_u3976), _u3977), _u3978)), _u3979)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u3980) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3980), _u3981), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3981) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), c_Groups_Oone__class_Oone(_u3982)), _u3983)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), c_Groups_Oone__class_Oone(_u3982)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3982), _u3983), _u3984))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3985), c_Groups_Oone__class_Oone(_u3985)), _u3986)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3985), _u3986), _u3987) != hAPP(hAPP(c_Power_Opower__class_Opower(_u3985), _u3986), _u3988)) | ( _u3987 = _u3988) )).
% 12.17/12.38 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u3985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3985), c_Groups_Oone__class_Oone(_u3985)), _u3986)) | ( _u3987 != _u3988) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3985), _u3986), _u3987) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3985), _u3986), _u3988)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__add ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u3989) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3989), _u3990), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3991), _u3992)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3989), hAPP(hAPP(c_Power_Opower__class_Opower(_u3989), _u3990), _u3991)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3989), _u3990), _u3992))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3993), c_Groups_Oone__class_Oone(_u3993)), _u3994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3993), c_Groups_Oone__class_Oone(_u3993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3993), _u3994), hAPP(hAPP(c_Power_Opower__class_Opower(_u3993), _u3994), _u3995)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u3996) | ( c_Power_Opower__class_Opower(_u3996) = c_Power_Opower_Opower(_u3996, c_Groups_Oone__class_Oone(_u3996), c_Groups_Otimes__class_Otimes(_u3996))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u3999) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3999), _u4000)) | ( _u4000 = c_Orderings_Obot__class_Obot(tc_fun(_u3999, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3999), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3999), skolem82(_u4000, _u3999)), skolem83(_u4000, _u3999))), hAPP(hAPP(c_Set_Oinsert(_u3999), skolem82(_u4000, _u3999)), hAPP(hAPP(c_Set_Oinsert(_u3999), skolem83(_u4000, _u3999)), c_Orderings_Obot__class_Obot(tc_fun(_u3999, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3999), c_Big__Operators_Olattice__class_OSup__fin(_u3999, _u4000)), _u4000)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u4001, _u4002, _u4003, c_Orderings_Otop__class_Otop(tc_fun(_u4001, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4001, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4001, _u4002, _u4003), hAPP(hAPP(c_Set_Oinsert(_u4002), _u4004), c_Orderings_Obot__class_Obot(tc_fun(_u4002, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u4001), c_HOL_OThe(_u4001, hAPP(hAPP(c_COMBC(_u4001, _u4002, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u4002, tc_fun(_u4002, tc_HOL_Obool), _u4001), c_fequal), _u4003)), _u4004))), c_Orderings_Obot__class_Obot(tc_fun(_u4001, tc_HOL_Obool))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u4007) | ( hAPP(_u4008, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4007), skolem84(_u4009, _u4008, _u4007)), skolem85(_u4009, _u4008, _u4007))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4007), hAPP(_u4008, skolem84(_u4009, _u4008, _u4007))), hAPP(_u4008, skolem85(_u4009, _u4008, _u4007)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4007), _u4009)) | ( _u4009 = c_Orderings_Obot__class_Obot(tc_fun(_u4007, tc_HOL_Obool))) | ( hAPP(_u4008, c_Big__Operators_Olattice__class_OSup__fin(_u4007, _u4009)) = c_Big__Operators_Olattice__class_OSup__fin(_u4007, hAPP(c_Set_Oimage(_u4007, _u4007, _u4008), _u4009))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4010) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4011), _u4012)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4011, _u4010), _u4012), _u4013) = hAPP(hAPP(c_Finite__Set_Ofold(_u4011, _u4010, hAPP(hAPP(c_COMBB(_u4010, tc_fun(_u4010, _u4010), _u4011), c_Lattices_Osemilattice__sup__class_Osup(_u4010)), _u4013)), c_Orderings_Obot__class_Obot(_u4010)), _u4012)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4016), _u4017)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4016, tc_HOL_Obool)), _u4018), _u4017)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4016, _u4015), _u4019), _u4017) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4016, _u4015), _u4019), _u4018)) | hBOOL(hAPP(hAPP(c_member(_u4016), skolem86(_u4019, _u4018, _u4017, _u4016, _u4015)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4016, tc_HOL_Obool)), _u4017), _u4018))) )).
% 12.17/12.38 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4016), _u4017)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4016, tc_HOL_Obool)), _u4018), _u4017)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4016, _u4015), _u4019), _u4017) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4016, _u4015), _u4019), _u4018)) | ( hAPP(_u4019, skolem86(_u4019, _u4018, _u4017, _u4016, _u4015)) != c_Groups_Oone__class_Oone(_u4015)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4022), _u4023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4022, tc_HOL_Obool)), _u4024), _u4023)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4022, _u4021), _u4025), _u4024) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4022, _u4021), _u4025), _u4023)) | hBOOL(hAPP(hAPP(c_member(_u4022), skolem87(_u4025, _u4024, _u4023, _u4022, _u4021)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4022, tc_HOL_Obool)), _u4023), _u4024))) )).
% 12.17/12.38 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4022), _u4023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4022, tc_HOL_Obool)), _u4024), _u4023)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4022, _u4021), _u4025), _u4024) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4022, _u4021), _u4025), _u4023)) | ( hAPP(_u4025, skolem87(_u4025, _u4024, _u4023, _u4022, _u4021)) != c_Groups_Oone__class_Oone(_u4021)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4027), _u4028)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4027), _u4029)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4027, tc_HOL_Obool)), _u4028), _u4029) != c_Orderings_Obot__class_Obot(tc_fun(_u4027, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4026, _u4027, c_Groups_Otimes__class_Otimes(_u4026)), _u4030), c_Groups_Oone__class_Oone(_u4026)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4027, tc_HOL_Obool)), _u4028), _u4029)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4026), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4026, _u4027, c_Groups_Otimes__class_Otimes(_u4026)), _u4030), c_Groups_Oone__class_Oone(_u4026)), _u4028)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4026, _u4027, c_Groups_Otimes__class_Otimes(_u4026)), _u4030), c_Groups_Oone__class_Oone(_u4026)), _u4029))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u4031, _u4032)) | ~hBOOL(hAPP(_u4033, _u4032)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4034, tc_HOL_Obool)), _u4031), _u4033), _u4032)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4035, tc_HOL_Obool)), _u4036), _u4037), _u4038)) | hBOOL(hAPP(_u4036, _u4038)) )).
% 12.17/12.38 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4035, tc_HOL_Obool)), _u4036), _u4037), _u4038)) | hBOOL(hAPP(_u4037, _u4038)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4039), _u4040), _u4041)) | ~hBOOL(hAPP(hAPP(_u4042, _u4040), _u4043)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4039, tc_fun(_u4044, tc_HOL_Obool)), _u4041), _u4042), _u4043)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4045), _u4046), _u4047)) | ~hBOOL(hAPP(hAPP(hAPP(_u4048, _u4046), _u4049), _u4050)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4045, tc_fun(_u4051, tc_fun(_u4052, tc_HOL_Obool))), _u4047), _u4048), _u4049), _u4050)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_IntI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4053), _u4054), _u4055)) | ~hBOOL(hAPP(hAPP(c_member(_u4053), _u4054), _u4056)) | hBOOL(hAPP(hAPP(c_member(_u4053), _u4054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4053, tc_HOL_Obool)), _u4055), _u4056))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_IntE ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4057), _u4058), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4057, tc_HOL_Obool)), _u4059), _u4060))) | hBOOL(hAPP(hAPP(c_member(_u4057), _u4058), _u4059)) )).
% 12.17/12.38 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4057), _u4058), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4057, tc_HOL_Obool)), _u4059), _u4060))) | hBOOL(hAPP(hAPP(c_member(_u4057), _u4058), _u4060)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4061), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4061, tc_HOL_Obool)), _u4062), _u4063))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4061), _u4062)) )).
% 12.17/12.38 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4061), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4061, tc_HOL_Obool)), _u4062), _u4063))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4061), _u4063)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u4064, _u4065) != _u4066) | ~hBOOL(hAPP(hAPP(c_member(_u4067), _u4066), _u4068)) | hBOOL(hAPP(hAPP(c_member(_u4069), _u4065), hAPP(c_Set_Ovimage(_u4069, _u4067, _u4064), _u4068))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u4070) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4070), _u4071), _u4071) = _u4071) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4072, tc_HOL_Obool)), _u4073), _u4073) = _u4073) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4074, tc_HOL_Obool)), _u4075), _u4076) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4074, tc_HOL_Obool)), _u4076), _u4075)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4077, tc_HOL_Obool)), _u4078), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4077, tc_HOL_Obool)), _u4078), _u4079)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4077, tc_HOL_Obool)), _u4078), _u4079)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4081), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4082), _u4083)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4082), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4081), _u4083))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4084, _u4085, _u4086), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4085, tc_HOL_Obool)), _u4087), _u4088)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4084, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4084, _u4085, _u4086), _u4087)), hAPP(c_Set_Ovimage(_u4084, _u4085, _u4086), _u4088))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4089, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4089, tc_HOL_Obool)), _u4090), _u4091)), _u4092) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4089, tc_HOL_Obool)), _u4090), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4089, tc_HOL_Obool)), _u4091), _u4092))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u4104, hAPP(_u4102, _u4106))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u4098, _u4100, _u4102), _u4104), _u4106)) )).
% 12.17/12.38 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u4105, hAPP(_u4103, _u4107))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u4099, _u4101, _u4103), _u4105), _u4107)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u4109, _u4111)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4108, tc_HOL_Obool)), _u4109), _u4110), _u4111)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u4114, _u4115)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4112, tc_HOL_Obool)), _u4113), _u4114), _u4115)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4116) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4116), _u4117), _u4117) = _u4117) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4118) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4118), _u4119), _u4119) = _u4119) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u4120) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4121, _u4120)), _u4122), _u4123), _u4124) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4120), hAPP(_u4122, _u4124)), hAPP(_u4123, _u4124))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4125) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4125), _u4126), _u4127) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4125), _u4127), _u4126)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u4128) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4128), _u4129), _u4130) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4128), _u4130), _u4129)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4131) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4131), _u4132), _u4133) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4131), _u4133), _u4132)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4134) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4134), _u4135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4134), _u4135), _u4136)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4134), _u4135), _u4136)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u4137) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4138), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4138), _u4139)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4138), _u4139)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4140) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4140), _u4141), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4140), _u4141), _u4142)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4140), _u4141), _u4142)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4143) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4143), _u4144), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4143), _u4145), _u4146)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4143), _u4145), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4143), _u4144), _u4146))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u4147) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4147), _u4148), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4147), _u4149), _u4150)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4147), _u4149), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4147), _u4148), _u4150))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4151) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4151), _u4152), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4151), _u4153), _u4154)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4151), _u4153), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4151), _u4152), _u4154))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4155) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4155), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4155), _u4156), _u4157)), _u4158) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4155), _u4156), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4155), _u4157), _u4158))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u4159) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4159), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4159), _u4160), _u4161)), _u4162) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4159), _u4160), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4159), _u4161), _u4162))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4163) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4163), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4163), _u4164), _u4165)), _u4166) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4163), _u4164), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4163), _u4165), _u4166))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u4167) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4168, _u4167)), _u4169), _u4170), _u4171) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4167), hAPP(_u4169, _u4171)), hAPP(_u4170, _u4171))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4172, _u4172, c_COMBI(_u4172)), _u4173) = _u4173) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u4174, _u4175, _u4176), hAPP(c_Set_Ovimage(_u4174, _u4175, _u4176), _u4177)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4175, tc_HOL_Obool)), _u4177), hAPP(c_Set_Oimage(_u4174, _u4175, _u4176), c_Orderings_Otop__class_Otop(tc_fun(_u4174, tc_HOL_Obool))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4181)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4180, tc_fun(_u4182, tc_HOL_Obool)), _u4181), _u4183))) | ~hBOOL(hAPP(hAPP(c_member(_u4180), _u4178), _u4181)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(_u4183, _u4178))) )).
% 12.17/12.38 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4181)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4180, tc_fun(_u4182, tc_HOL_Obool)), _u4181), _u4183))) | hBOOL(hAPP(hAPP(c_member(_u4180), skolem88(_u4183, _u4182, _u4181, _u4180)), _u4181)) )).
% 12.17/12.38 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4181)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4180, tc_fun(_u4182, tc_HOL_Obool)), _u4181), _u4183))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(_u4183, skolem88(_u4183, _u4182, _u4181, _u4180)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u4184) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4184), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4184), _u4185), _u4186)), _u4185)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4187), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4187), _u4188), _u4189)), _u4188)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u4190) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4190), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4190), _u4191), _u4192)), _u4192)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4193), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4193), _u4194), _u4195)), _u4195)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4196), _u4197), _u4198)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4196), _u4197), _u4198) = _u4197) )).
% 12.17/12.38 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u4196) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4196), _u4197), _u4198) != _u4197) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4196), _u4197), _u4198)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4199), _u4201), _u4202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), _u4201)) )).
% 12.17/12.38 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u4199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4199), _u4201), _u4202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), _u4202)) )).
% 12.17/12.38 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u4199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), _u4201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), _u4202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4199), _u4201), _u4202))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4203), _u4204), _u4205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4203), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4203), _u4204), _u4206)), _u4205)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4207) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4207), _u4208), _u4209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4207), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4207), _u4210), _u4208)), _u4209)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4211), _u4212), _u4213)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4211), _u4212), _u4213) = _u4212) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), _u4215), _u4216)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4214), _u4216), _u4215) = _u4215) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4217), _u4218), _u4219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4217), _u4218), _u4220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4217), _u4218), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4217), _u4219), _u4220))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4221), _u4222), _u4223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4221), _u4222), _u4224)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4221), _u4222), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4221), _u4223), _u4224))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), _u4226), _u4227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), _u4228), _u4229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4225), _u4226), _u4228)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4225), _u4227), _u4229))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4230), _u4231), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4230), _u4232), _u4233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4230), _u4231), _u4232)) )).
% 12.17/12.38 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u4230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4230), _u4231), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4230), _u4232), _u4233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4230), _u4231), _u4233)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4234), _u4235), _u4236)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4234), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4234), _u4235), _u4237)), _u4236)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), _u4239), _u4240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4238), _u4241), _u4239)), _u4240)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u4242) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4242), c_Orderings_Obot__class_Obot(_u4242)), _u4243) = c_Orderings_Obot__class_Obot(_u4242)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u4244) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4244), _u4245), c_Orderings_Obot__class_Obot(_u4244)) = c_Orderings_Obot__class_Obot(_u4244)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u4246) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4246), _u4247), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4246), _u4247), _u4248)) = _u4247) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u4249) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4249), _u4250), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4249), _u4250), _u4251)) = _u4250) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u4252) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4252), _u4253), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4252), _u4254), _u4255)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4252), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4252), _u4253), _u4254)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4252), _u4253), _u4255))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u4256) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4256), _u4257), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4256), _u4258), _u4259)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4256), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4256), _u4257), _u4258)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4256), _u4257), _u4259))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u4260) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4260), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4260), _u4261), _u4262)), _u4263) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4260), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4260), _u4261), _u4263)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4260), _u4262), _u4263))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u4264) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4264), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4264), _u4265), _u4266)), _u4267) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4264), _u4265), _u4267)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4264), _u4266), _u4267))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u4268) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4268), c_Orderings_Otop__class_Otop(_u4268)), _u4269) = _u4269) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u4270) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4270), _u4271), c_Orderings_Otop__class_Otop(_u4270)) = _u4271) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u4272) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4272), _u4273), _u4274) != c_Orderings_Otop__class_Otop(_u4272)) | ( _u4273 = c_Orderings_Otop__class_Otop(_u4272)) )).
% 12.17/12.38 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u4272) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4272), _u4273), _u4274) != c_Orderings_Otop__class_Otop(_u4272)) | ( _u4274 = c_Orderings_Otop__class_Otop(_u4272)) )).
% 12.17/12.38 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u4272) | ( _u4273 != c_Orderings_Otop__class_Otop(_u4272)) | ( _u4274 != c_Orderings_Otop__class_Otop(_u4272)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4272), _u4273), _u4274) = c_Orderings_Otop__class_Otop(_u4272)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4284), hAPP(_u4286, _u4282)), _u4288)) | ~hBOOL(hAPP(hAPP(c_member(_u4280), _u4282), hAPP(c_Set_Ovimage(_u4280, _u4284, _u4286), _u4288))) )).
% 12.17/12.38 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4285), hAPP(_u4287, _u4283)), _u4289)) | hBOOL(hAPP(hAPP(c_member(_u4281), _u4283), hAPP(c_Set_Ovimage(_u4281, _u4285, _u4287), _u4289))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4292), hAPP(_u4293, _u4291)), _u4294)) | ~hBOOL(hAPP(hAPP(c_member(_u4290), _u4291), hAPP(c_Set_Ovimage(_u4290, _u4292, _u4293), _u4294))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4295), hAPP(_u4296, _u4297)), _u4298)) | hBOOL(hAPP(hAPP(c_member(_u4299), _u4297), hAPP(c_Set_Ovimage(_u4299, _u4295, _u4296), _u4298))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4304), _u4306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4304, tc_HOL_Obool)), _u4308), _u4310))) | hBOOL(hAPP(hAPP(c_member(_u4304), _u4306), _u4308)) )).
% 12.17/12.38 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4304), _u4306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4304, tc_HOL_Obool)), _u4308), _u4310))) | hBOOL(hAPP(hAPP(c_member(_u4304), _u4306), _u4310)) )).
% 12.17/12.38 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4305), _u4307), _u4309)) | ~hBOOL(hAPP(hAPP(c_member(_u4305), _u4307), _u4311)) | hBOOL(hAPP(hAPP(c_member(_u4305), _u4307), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4305, tc_HOL_Obool)), _u4309), _u4311))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4312), _u4313), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4312, tc_HOL_Obool)), _u4314), _u4315))) | hBOOL(hAPP(hAPP(c_member(_u4312), _u4313), _u4314)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4316), _u4317), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4316, tc_HOL_Obool)), _u4318), _u4319))) | hBOOL(hAPP(hAPP(c_member(_u4316), _u4317), _u4319)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4320) | ~class_Orderings_Olinorder(_u4320) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u4320) = c_Orderings_Oord__class_Omin(_u4320)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4321, _u4322, _u4323), c_Orderings_Obot__class_Obot(tc_fun(_u4322, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4321, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4324, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u4324, tc_HOL_Obool))), _u4325) = c_Orderings_Obot__class_Obot(tc_fun(_u4324, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4326, tc_HOL_Obool)), _u4327), c_Orderings_Obot__class_Obot(tc_fun(_u4326, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4326, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4335, tc_HOL_Obool)), _u4337), _u4339) != c_Orderings_Obot__class_Obot(tc_fun(_u4335, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4335), _u4329), _u4337)) | ~hBOOL(hAPP(hAPP(c_member(_u4335), _u4328), _u4339)) | ( _u4329 != _u4328) )).
% 12.17/12.38 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4336, tc_HOL_Obool)), _u4338), _u4340) = c_Orderings_Obot__class_Obot(tc_fun(_u4336, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4336), skolem89(_u4340, _u4338, _u4336)), _u4338)) )).
% 12.17/12.38 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4336, tc_HOL_Obool)), _u4338), _u4340) = c_Orderings_Obot__class_Obot(tc_fun(_u4336, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4336), skolem90(_u4340, _u4338, _u4336)), _u4340)) )).
% 12.17/12.38 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4336, tc_HOL_Obool)), _u4338), _u4340) = c_Orderings_Obot__class_Obot(tc_fun(_u4336, tc_HOL_Obool))) | ( skolem89(_u4340, _u4338, _u4336) = skolem90(_u4340, _u4338, _u4336)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4341, tc_HOL_Obool)), _u4342), _u4343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4344, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4344, _u4341, _u4345), _u4342)), hAPP(c_Set_Ovimage(_u4344, _u4341, _u4345), _u4343))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4346, _u4347, _u4348), c_Orderings_Otop__class_Otop(tc_fun(_u4347, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4346, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4349, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4349), _u4350), _u4351)), hAPP(hAPP(c_Set_Oinsert(_u4349), _u4350), _u4352)) = hAPP(hAPP(c_Set_Oinsert(_u4349), _u4350), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4349, tc_HOL_Obool)), _u4351), _u4352))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4353, _u4354, _u4355), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4354, tc_HOL_Obool)), _u4356), _u4357)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4353, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4353, _u4354, _u4355), _u4356)), hAPP(c_Set_Ovimage(_u4353, _u4354, _u4355), _u4357))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4358, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4358, tc_HOL_Obool)), _u4359), _u4360)), _u4359)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4361, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4361, tc_HOL_Obool)), _u4362), _u4363)), _u4363)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4364, tc_HOL_Obool)), _u4365), _u4366)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4364, tc_HOL_Obool)), _u4365), _u4366) = _u4365) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4367, tc_HOL_Obool)), _u4368), _u4369)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4367, tc_HOL_Obool)), _u4369), _u4368) = _u4368) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4370, tc_HOL_Obool)), _u4371), _u4372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4370, tc_HOL_Obool)), _u4371), _u4373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4370, tc_HOL_Obool)), _u4371), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4370, tc_HOL_Obool)), _u4372), _u4373))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4374, tc_HOL_Obool)), _u4375), _u4376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4374, tc_HOL_Obool)), _u4377), _u4378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4374, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4374, tc_HOL_Obool)), _u4375), _u4377)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4374, tc_HOL_Obool)), _u4376), _u4378))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4379, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4379, tc_HOL_Obool))), _u4380) = _u4380) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4381, tc_HOL_Obool)), _u4382), c_Orderings_Otop__class_Otop(tc_fun(_u4381, tc_HOL_Obool))) = _u4382) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4383, tc_HOL_Obool)), _u4384), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4383, tc_HOL_Obool)), _u4385), _u4386)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4383, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4383, tc_HOL_Obool)), _u4384), _u4385)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4383, tc_HOL_Obool)), _u4384), _u4386))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4387, tc_HOL_Obool)), _u4388), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4387, tc_HOL_Obool)), _u4389), _u4390)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4387, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4387, tc_HOL_Obool)), _u4388), _u4389)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4387, tc_HOL_Obool)), _u4388), _u4390))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4391, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4391, tc_HOL_Obool)), _u4392), _u4393)), _u4394) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4391, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4391, tc_HOL_Obool)), _u4392), _u4394)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4391, tc_HOL_Obool)), _u4393), _u4394))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4395, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4395, tc_HOL_Obool)), _u4396), _u4397)), _u4398) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4395, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4395, tc_HOL_Obool)), _u4396), _u4398)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4395, tc_HOL_Obool)), _u4397), _u4398))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), _u4400), _u4401)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), _u4401), _u4402))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), _u4402), _u4400)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), _u4400), _u4401)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), _u4401), _u4402))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), _u4402), _u4400))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4403, _u4404, _u4405), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4404, tc_HOL_Obool)), _u4406), _u4407)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4403, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4403, _u4404, _u4405), _u4406)), hAPP(c_Set_Ovimage(_u4403, _u4404, _u4405), _u4407))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4408, tc_HOL_Obool)), _u4409), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4408, tc_HOL_Obool)), _u4410), _u4411)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4408, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4408, tc_HOL_Obool)), _u4409), _u4410)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4408, tc_HOL_Obool)), _u4409), _u4411))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4412, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4412, tc_HOL_Obool)), _u4413), _u4414)), _u4415) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4412, tc_HOL_Obool)), _u4413), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4412, tc_HOL_Obool)), _u4414), _u4415))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4416, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4416, tc_HOL_Obool)), _u4417), _u4418)), _u4419) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4416, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4416, tc_HOL_Obool)), _u4417), _u4419)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4416, tc_HOL_Obool)), _u4418), _u4419))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4420, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4420, tc_HOL_Obool)), _u4421), _u4422)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4420, tc_HOL_Obool)), _u4423), _u4422)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4420, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4420, tc_HOL_Obool)), _u4421), _u4422)), _u4423)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u4424, _u4425, _u4426, _u4427) | ~c_Fun_Oinj__on(_u4424, _u4425, _u4426, _u4428) | c_Fun_Oinj__on(_u4424, _u4425, _u4426, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4424, tc_HOL_Obool)), _u4427), _u4428)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4429, _u4430, _u4431), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4430, tc_HOL_Obool)), _u4432)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4429, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4429, _u4430, _u4431), _u4432))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4433) | c_Finite__Set_Ofun__left__comm__idem(_u4433, _u4433, c_Lattices_Osemilattice__inf__class_Oinf(_u4433)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4438, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u4438, tc_fun(_u4438, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4438)), _u4440)), hAPP(hAPP(c_COMBC(_u4438, tc_fun(_u4438, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4438)), _u4442)), _u4444)) | hBOOL(hAPP(hAPP(c_member(_u4438), _u4444), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4438, tc_HOL_Obool)), _u4440), _u4442))) )).
% 12.17/12.38 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4439), _u4445), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4439, tc_HOL_Obool)), _u4441), _u4443))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4439, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u4439, tc_fun(_u4439, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4439)), _u4441)), hAPP(hAPP(c_COMBC(_u4439, tc_fun(_u4439, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4439)), _u4443)), _u4445)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u4446) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4446), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4446), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4446), _u4447), _u4448)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4446), _u4447), _u4449))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4446), _u4447), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4446), _u4448), _u4449)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u4450) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4450), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4450), _u4451), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4450), _u4452), _u4453))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4450), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4450), _u4451), _u4452)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4450), _u4451), _u4453)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4454) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4454), _u4455), hAPP(c_Groups_Ouminus__class_Ouminus(_u4454), _u4455)) = c_Orderings_Obot__class_Obot(_u4454)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4456) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4456), hAPP(c_Groups_Ouminus__class_Ouminus(_u4456), _u4457)), _u4457) = c_Orderings_Obot__class_Obot(_u4456)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4458) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4458), _u4459), _u4460) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4458), _u4459), hAPP(c_Groups_Ouminus__class_Ouminus(_u4458), _u4460))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4461) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4461), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4461), _u4462), _u4463)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4461), hAPP(c_Groups_Ouminus__class_Ouminus(_u4461), _u4462)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4461), _u4463))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4464) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4464), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4464), _u4465), _u4466)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4464), hAPP(c_Groups_Ouminus__class_Ouminus(_u4464), _u4465)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4464), _u4466))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4471), _u4473), _u4475)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4471, tc_HOL_Obool)), _u4475), hAPP(hAPP(c_Set_Oinsert(_u4471), _u4473), _u4477)) = hAPP(hAPP(c_Set_Oinsert(_u4471), _u4473), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4471, tc_HOL_Obool)), _u4475), _u4477))) )).
% 12.17/12.38 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4472), _u4474), _u4476)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4472, tc_HOL_Obool)), _u4476), hAPP(hAPP(c_Set_Oinsert(_u4472), _u4474), _u4478)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4472, tc_HOL_Obool)), _u4476), _u4478)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4483), _u4485), _u4487)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4483, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4483), _u4485), _u4489)), _u4487) = hAPP(hAPP(c_Set_Oinsert(_u4483), _u4485), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4483, tc_HOL_Obool)), _u4489), _u4487))) )).
% 12.17/12.38 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4484), _u4486), _u4488)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4484, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4486), _u4490)), _u4488) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4484, tc_HOL_Obool)), _u4490), _u4488)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4491), _u4492), _u4493)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4491, tc_HOL_Obool)), _u4493), hAPP(hAPP(c_Set_Oinsert(_u4491), _u4492), _u4494)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4491, tc_HOL_Obool)), _u4493), _u4494)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4495), _u4496), _u4497)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4495, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4495), _u4496), _u4498)), _u4497) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4495, tc_HOL_Obool)), _u4498), _u4497)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4499), _u4500), _u4501)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4499, tc_HOL_Obool)), _u4501), hAPP(hAPP(c_Set_Oinsert(_u4499), _u4500), _u4502)) = hAPP(hAPP(c_Set_Oinsert(_u4499), _u4500), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4499, tc_HOL_Obool)), _u4501), _u4502))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4503), _u4504), _u4505)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4503, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4503), _u4504), _u4506)), _u4505) = hAPP(hAPP(c_Set_Oinsert(_u4503), _u4504), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4503, tc_HOL_Obool)), _u4506), _u4505))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4507, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4508, _u4507, _u4509), hAPP(c_Set_Ovimage(_u4508, _u4507, _u4509), _u4510))), _u4510)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u4511, _u4512, _u4513), c_Orderings_Otop__class_Otop(tc_fun(_u4511, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4512, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4511, _u4512, _u4513), hAPP(c_Set_Ovimage(_u4511, _u4512, _u4513), _u4514)) = _u4514) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4515, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4516, _u4515, _u4517), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4516, tc_HOL_Obool)), _u4518), _u4519))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4515, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4516, _u4515, _u4517), _u4518)), hAPP(c_Set_Oimage(_u4516, _u4515, _u4517), _u4519)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4520, tc_HOL_Obool)), _u4521), _u4522) != c_Orderings_Obot__class_Obot(tc_fun(_u4520, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4520, tc_HOL_Obool)), _u4521), _u4522) = _u4521) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4523, tc_HOL_Obool)), _u4524), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4523, tc_HOL_Obool)), _u4525), _u4524)) = c_Orderings_Obot__class_Obot(tc_fun(_u4523, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4530, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4530, tc_HOL_Obool)), _u4532), _u4534)), _u4536) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4530, tc_HOL_Obool)), _u4532), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4530, tc_HOL_Obool)), _u4534), _u4536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4530, tc_HOL_Obool)), _u4536), _u4532)) )).
% 12.17/12.38 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4531, tc_HOL_Obool)), _u4537), _u4533)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4531, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4531, tc_HOL_Obool)), _u4533), _u4535)), _u4537) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4531, tc_HOL_Obool)), _u4533), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4531, tc_HOL_Obool)), _u4535), _u4537))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4538, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4538, tc_HOL_Obool)), _u4539), _u4540)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4538, tc_HOL_Obool)), _u4539), _u4540)) = _u4539) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4541, tc_HOL_Obool)), _u4542), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4541, tc_HOL_Obool)), _u4543), _u4544)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4541, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4541, tc_HOL_Obool)), _u4542), _u4543)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4541, tc_HOL_Obool)), _u4542), _u4544))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4545, tc_HOL_Obool)), _u4546), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4545, tc_HOL_Obool)), _u4547), _u4548)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4545, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4545, tc_HOL_Obool)), _u4546), _u4547)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4545, tc_HOL_Obool)), _u4546), _u4548))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4553, tc_fun(_u4555, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4553, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4555, tc_HOL_Obool), tc_fun(_u4555, tc_HOL_Obool), _u4553), hAPP(c_COMBC(_u4555, tc_fun(_u4555, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4555))), _u4557)), _u4559)) | hBOOL(hAPP(hAPP(c_member(_u4555), _u4559), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4553, tc_fun(_u4555, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4553, tc_HOL_Obool))), _u4557))) )).
% 12.17/12.38 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4556), _u4560), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4554, tc_fun(_u4556, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4554, tc_HOL_Obool))), _u4558))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4554, tc_fun(_u4556, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4554, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4556, tc_HOL_Obool), tc_fun(_u4556, tc_HOL_Obool), _u4554), hAPP(c_COMBC(_u4556, tc_fun(_u4556, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4556))), _u4558)), _u4560)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4561, tc_HOL_Obool)), _u4562), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4561, tc_HOL_Obool)), _u4562)) = c_Orderings_Obot__class_Obot(tc_fun(_u4561, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4563, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4563, tc_HOL_Obool)), _u4564)), _u4564) = c_Orderings_Obot__class_Obot(tc_fun(_u4563, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4565, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4565, tc_HOL_Obool)), _u4566), _u4567)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4565, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4565, tc_HOL_Obool)), _u4566)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4565, tc_HOL_Obool)), _u4567))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4568, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4568, tc_HOL_Obool)), _u4569), _u4570)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4568, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4568, tc_HOL_Obool)), _u4569)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4568, tc_HOL_Obool)), _u4570))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4571, tc_HOL_Obool)), _u4572), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4571, tc_HOL_Obool)), _u4573)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4571, tc_HOL_Obool)), _u4572), _u4573)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4574, tc_HOL_Obool)), _u4575), _u4576) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4574, tc_HOL_Obool)), _u4575), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4574, tc_HOL_Obool)), _u4576))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u4588, _u4584) = _u4590) | ~hBOOL(hAPP(hAPP(c_member(_u4582), _u4584), hAPP(c_Set_Ovimage(_u4582, _u4586, _u4588), hAPP(hAPP(c_Set_Oinsert(_u4586), _u4590), c_Orderings_Obot__class_Obot(tc_fun(_u4586, tc_HOL_Obool)))))) )).
% 12.17/12.38 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u4589, _u4585) != _u4591) | hBOOL(hAPP(hAPP(c_member(_u4583), _u4585), hAPP(c_Set_Ovimage(_u4583, _u4587, _u4589), hAPP(hAPP(c_Set_Oinsert(_u4587), _u4591), c_Orderings_Obot__class_Obot(tc_fun(_u4587, tc_HOL_Obool)))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4592) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4592), _u4593)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u4592, _u4592, c_Lattices_Osemilattice__inf__class_Oinf(_u4592)), _u4594), hAPP(hAPP(c_Set_Oinsert(_u4592), _u4595), _u4593)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4592), _u4595), hAPP(hAPP(c_Finite__Set_Ofold(_u4592, _u4592, c_Lattices_Osemilattice__inf__class_Oinf(_u4592)), _u4594), _u4593))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u4596) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4596), _u4597)) | ~hBOOL(hAPP(hAPP(c_member(_u4596), _u4598), _u4597)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4596), _u4598), c_Big__Operators_Olattice__class_OSup__fin(_u4596, _u4597)) = _u4598) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4599, _u4600, _u4601), hAPP(hAPP(c_Set_Oinsert(_u4600), _u4602), _u4603)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4599, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4599, _u4600, _u4601), hAPP(hAPP(c_Set_Oinsert(_u4600), _u4602), c_Orderings_Obot__class_Obot(tc_fun(_u4600, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u4599, _u4600, _u4601), _u4603))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4604), hAPP(c_Set_Ovimage(_u4604, _u4605, _u4606), _u4607))) | ( hAPP(c_Set_Oimage(_u4604, _u4605, _u4606), c_Orderings_Otop__class_Otop(tc_fun(_u4604, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4605, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4605), _u4607)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u4608, _u4609, _u4610), c_Orderings_Otop__class_Otop(tc_fun(_u4608, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4609, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4608, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4608, _u4609, _u4610), _u4611)), _u4612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4609, tc_HOL_Obool)), _u4611), hAPP(c_Set_Oimage(_u4608, _u4609, _u4610), _u4612))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4614)) | ~c_Fun_Oinj__on(_u4615, _u4613, _u4616, c_Orderings_Otop__class_Otop(tc_fun(_u4615, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4615), hAPP(c_Set_Ovimage(_u4615, _u4613, _u4616), _u4614))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u4617, _u4618, _u4619, c_Orderings_Otop__class_Otop(tc_fun(_u4617, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u4617, _u4618, _u4619), hAPP(c_Set_Oimage(_u4617, _u4618, _u4619), _u4620)) = _u4620) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u4621, _u4622, _u4623, _u4624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4621, tc_HOL_Obool)), _u4625), _u4624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4621, tc_HOL_Obool)), _u4626), _u4624)) | ( hAPP(c_Set_Oimage(_u4621, _u4622, _u4623), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4621, tc_HOL_Obool)), _u4625), _u4626)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4622, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4621, _u4622, _u4623), _u4625)), hAPP(c_Set_Oimage(_u4621, _u4622, _u4623), _u4626))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u4627, _u4628, _u4629, c_Orderings_Otop__class_Otop(tc_fun(_u4627, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4627, _u4628, _u4629), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4627, tc_HOL_Obool)), _u4630), _u4631)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4628, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4627, _u4628, _u4629), _u4630)), hAPP(c_Set_Oimage(_u4627, _u4628, _u4629), _u4631))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4635, tc_HOL_Obool)), _u4637), _u4639) != c_Orderings_Obot__class_Obot(tc_fun(_u4635, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4635, tc_HOL_Obool)), _u4637), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4635, tc_HOL_Obool)), _u4639))) )).
% 12.17/12.38 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4636, tc_HOL_Obool)), _u4638), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4636, tc_HOL_Obool)), _u4640))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4636, tc_HOL_Obool)), _u4638), _u4640) = c_Orderings_Obot__class_Obot(tc_fun(_u4636, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4645), _u4647), _u4649)) | ( hAPP(c_Set_Ovimage(_u4651, _u4645, hAPP(c_COMBK(_u4645, _u4651), _u4647)), _u4649) = c_Orderings_Otop__class_Otop(tc_fun(_u4651, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4646), _u4648), _u4650)) | ( hAPP(c_Set_Ovimage(_u4652, _u4646, hAPP(c_COMBK(_u4646, _u4652), _u4648)), _u4650) = c_Orderings_Obot__class_Obot(tc_fun(_u4652, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4654), _u4659)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4654), _u4660)) | ( hAPP(hAPP(_u4655, hAPP(_u4658, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4654, tc_HOL_Obool)), _u4659), _u4660))), hAPP(_u4658, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4654, tc_HOL_Obool)), _u4659), _u4660))) = hAPP(hAPP(_u4655, hAPP(_u4658, _u4659)), hAPP(_u4658, _u4660))) | ~c_Finite__Set_Ofolding__image__simple(_u4653, _u4654, _u4655, _u4656, _u4657, _u4658) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4661) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4661), _u4662), _u4663) != c_Orderings_Obot__class_Obot(_u4661)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4661), _u4662), _u4663) != c_Orderings_Otop__class_Otop(_u4661)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4661), _u4662) = _u4663) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4664), _u4665)) | ~hBOOL(hAPP(hAPP(c_member(_u4664), _u4666), _u4665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4664), hAPP(hAPP(c_Finite__Set_Ofold(_u4664, _u4664, c_Lattices_Osemilattice__inf__class_Oinf(_u4664)), _u4667), _u4665)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4664), _u4666), _u4667))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4668) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4668), _u4669)) | ~hBOOL(hAPP(hAPP(c_member(_u4668), _u4670), _u4669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4668), hAPP(c_Finite__Set_Ofold1(_u4668, c_Lattices_Osemilattice__inf__class_Oinf(_u4668)), _u4669)), _u4670)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4673) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4673), _u4674)) | ( _u4674 = c_Orderings_Obot__class_Obot(tc_fun(_u4673, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), hAPP(c_Finite__Set_Ofold1(_u4673, c_Lattices_Osemilattice__inf__class_Oinf(_u4673)), _u4674))) | ~hBOOL(hAPP(hAPP(c_member(_u4673), _u4671), _u4674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), _u4671)) )).
% 12.17/12.38 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u4673) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4673), _u4674)) | ( _u4674 = c_Orderings_Obot__class_Obot(tc_fun(_u4673, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), hAPP(c_Finite__Set_Ofold1(_u4673, c_Lattices_Osemilattice__inf__class_Oinf(_u4673)), _u4674))) | hBOOL(hAPP(hAPP(c_member(_u4673), skolem91(_u4675, _u4674, _u4673)), _u4674)) )).
% 12.17/12.38 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u4673) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4673), _u4674)) | ( _u4674 = c_Orderings_Obot__class_Obot(tc_fun(_u4673, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), hAPP(c_Finite__Set_Ofold1(_u4673, c_Lattices_Osemilattice__inf__class_Oinf(_u4673)), _u4674))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), skolem91(_u4675, _u4674, _u4673))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4676) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4677), _u4678)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4677), _u4679)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4677, _u4676), _u4680), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4677, tc_HOL_Obool)), _u4678), _u4679))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4677, _u4676), _u4680), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4677, tc_HOL_Obool)), _u4678), _u4679))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4677, _u4676), _u4680), _u4678)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4677, _u4676), _u4680), _u4679))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u4681, _u4682, _u4683, c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4682, tc_HOL_Obool)), _u4684), hAPP(c_Set_Oimage(_u4681, _u4682, _u4683), _u4685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4681, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4681, _u4682, _u4683), _u4684)), _u4685)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4687), _u4688)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4687), _u4689)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4687, _u4686), _u4690), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4687, tc_HOL_Obool)), _u4688), _u4689))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4687, _u4686), _u4690), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4687, tc_HOL_Obool)), _u4688), _u4689))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4687, _u4686), _u4690), _u4688)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4687, _u4686), _u4690), _u4689))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4691) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4692), _u4693)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4692), _u4694)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4691), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4692, _u4691), _u4695), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4692, tc_HOL_Obool)), _u4693), _u4694))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4692, _u4691), _u4695), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4692, tc_HOL_Obool)), _u4693), _u4694))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4691), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4692, _u4691), _u4695), _u4693)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4692, _u4691), _u4695), _u4694))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4696), _u4697)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4696), _u4698)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4696), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4696, tc_HOL_Obool)), _u4697), _u4698))), hAPP(c_Finite__Set_Ocard(_u4696), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4696, tc_HOL_Obool)), _u4697), _u4698))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4696), _u4697)), hAPP(c_Finite__Set_Ocard(_u4696), _u4698))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4699), _u4700)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4699), _u4701)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4699), _u4700)), hAPP(c_Finite__Set_Ocard(_u4699), _u4701)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4699), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4699, tc_HOL_Obool)), _u4700), _u4701))), hAPP(c_Finite__Set_Ocard(_u4699), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4699, tc_HOL_Obool)), _u4700), _u4701)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4702), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4702, tc_HOL_Obool)), _u4703), _u4704))) | ( hAPP(c_Finite__Set_Ocard(_u4702), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4702, tc_HOL_Obool)), _u4703), _u4704)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4702), _u4703)), hAPP(c_Finite__Set_Ocard(_u4702), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4702, tc_HOL_Obool)), _u4703), _u4704)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4711), _u4713), _u4715)) | ~hBOOL(hAPP(hAPP(c_member(_u4711), _u4717), _u4715)) | ( hAPP(c_Set_Ovimage(_u4719, _u4711, hAPP(hAPP(c_COMBC(_u4719, _u4711, _u4711), hAPP(hAPP(c_COMBC(_u4719, _u4711, tc_fun(_u4711, _u4711)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4711, tc_fun(_u4711, _u4711)), _u4719), c_If(_u4711)), hAPP(hAPP(c_COMBC(_u4719, tc_fun(_u4719, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4719)), _u4721))), _u4713)), _u4717)), _u4715) = c_Orderings_Otop__class_Otop(tc_fun(_u4719, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4711), _u4713), _u4715)) | hBOOL(hAPP(hAPP(c_member(_u4711), _u4717), _u4715)) | ( hAPP(c_Set_Ovimage(_u4719, _u4711, hAPP(hAPP(c_COMBC(_u4719, _u4711, _u4711), hAPP(hAPP(c_COMBC(_u4719, _u4711, tc_fun(_u4711, _u4711)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4711, tc_fun(_u4711, _u4711)), _u4719), c_If(_u4711)), hAPP(hAPP(c_COMBC(_u4719, tc_fun(_u4719, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4719)), _u4721))), _u4713)), _u4717)), _u4715) = _u4721) )).
% 12.17/12.38 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4712), _u4714), _u4716)) | ~hBOOL(hAPP(hAPP(c_member(_u4712), _u4718), _u4716)) | ( hAPP(c_Set_Ovimage(_u4720, _u4712, hAPP(hAPP(c_COMBC(_u4720, _u4712, _u4712), hAPP(hAPP(c_COMBC(_u4720, _u4712, tc_fun(_u4712, _u4712)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4712, tc_fun(_u4712, _u4712)), _u4720), c_If(_u4712)), hAPP(hAPP(c_COMBC(_u4720, tc_fun(_u4720, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4720)), _u4722))), _u4714)), _u4718)), _u4716) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4720, tc_HOL_Obool)), _u4722)) )).
% 12.17/12.38 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4712), _u4714), _u4716)) | hBOOL(hAPP(hAPP(c_member(_u4712), _u4718), _u4716)) | ( hAPP(c_Set_Ovimage(_u4720, _u4712, hAPP(hAPP(c_COMBC(_u4720, _u4712, _u4712), hAPP(hAPP(c_COMBC(_u4720, _u4712, tc_fun(_u4712, _u4712)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4712, tc_fun(_u4712, _u4712)), _u4720), c_If(_u4712)), hAPP(hAPP(c_COMBC(_u4720, tc_fun(_u4720, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4720)), _u4722))), _u4714)), _u4718)), _u4716) = c_Orderings_Obot__class_Obot(tc_fun(_u4720, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4723, _u4724, _u4725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4723), _u4726)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4723), _u4727)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4723, tc_HOL_Obool)), _u4726), _u4727) = c_Orderings_Obot__class_Obot(tc_fun(_u4723, tc_HOL_Obool))) | ( hAPP(hAPP(_u4724, hAPP(_u4725, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4723, tc_HOL_Obool)), _u4726), _u4727))), hAPP(_u4725, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4723, tc_HOL_Obool)), _u4726), _u4727))) = hAPP(hAPP(_u4724, hAPP(_u4725, _u4726)), hAPP(_u4725, _u4727))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4728, _u4729, _u4730) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4728), _u4731)) | ( _u4731 = c_Orderings_Obot__class_Obot(tc_fun(_u4728, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4728), _u4732)) | ( _u4732 = c_Orderings_Obot__class_Obot(tc_fun(_u4728, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4728, tc_HOL_Obool)), _u4731), _u4732) != c_Orderings_Obot__class_Obot(tc_fun(_u4728, tc_HOL_Obool))) | ( hAPP(_u4730, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4728, tc_HOL_Obool)), _u4731), _u4732)) = hAPP(hAPP(_u4729, hAPP(_u4730, _u4731)), hAPP(_u4730, _u4732))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4734), _u4739)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4734), _u4740)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4734, tc_HOL_Obool)), _u4739), _u4740) != c_Orderings_Obot__class_Obot(tc_fun(_u4734, tc_HOL_Obool))) | ( hAPP(_u4738, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4734, tc_HOL_Obool)), _u4739), _u4740)) = hAPP(hAPP(_u4735, hAPP(_u4738, _u4739)), hAPP(_u4738, _u4740))) | ~c_Finite__Set_Ofolding__image__simple(_u4733, _u4734, _u4735, _u4736, _u4737, _u4738) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4742), _u4743)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4742), _u4744)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4742, tc_HOL_Obool)), _u4743), _u4744) != c_Orderings_Obot__class_Obot(tc_fun(_u4742, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4742, _u4741), _u4745), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4742, tc_HOL_Obool)), _u4743), _u4744)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4741), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4742, _u4741), _u4745), _u4743)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4742, _u4741), _u4745), _u4744))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u4746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4747), _u4748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4747), _u4749)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4747, _u4746), _u4750), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4747, tc_HOL_Obool)), _u4748), _u4749)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4746), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4746), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4747, _u4746), _u4750), _u4748)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4747, _u4746), _u4750), _u4749))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4747, _u4746), _u4750), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4747, tc_HOL_Obool)), _u4748), _u4749)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4751) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4752), _u4753)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4752), _u4754)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4752, tc_HOL_Obool)), _u4753), _u4754) != c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4752, _u4751), _u4755), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4752, tc_HOL_Obool)), _u4753), _u4754)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4751), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4752, _u4751), _u4755), _u4753)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4752, _u4751), _u4755), _u4754))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4757), _u4758)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4757), _u4759)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4757, tc_HOL_Obool)), _u4758), _u4759) != c_Orderings_Obot__class_Obot(tc_fun(_u4757, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4757, _u4756), _u4760), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4757, tc_HOL_Obool)), _u4758), _u4759)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4756), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4757, _u4756), _u4760), _u4758)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4757, _u4756), _u4760), _u4759))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4762), _u4763)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4761), _u4764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4762, _u4761), _u4763), _u4765)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4762, _u4761, hAPP(hAPP(c_COMBB(_u4761, tc_fun(_u4761, _u4761), _u4762), c_Lattices_Osemilattice__sup__class_Osup(_u4761)), _u4765)), _u4764), _u4763)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4766), _u4767)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4766), _u4768)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4766, tc_HOL_Obool)), _u4767), _u4768) != c_Orderings_Obot__class_Obot(tc_fun(_u4766, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u4766), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4766, tc_HOL_Obool)), _u4767), _u4768)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4766), _u4767)), hAPP(c_Finite__Set_Ocard(_u4766), _u4768))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u4774, _u4776, _u4778, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4774, tc_HOL_Obool)), _u4780), _u4782)) | c_Fun_Oinj__on(_u4774, _u4776, _u4778, _u4780) )).
% 12.17/12.38 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u4774, _u4776, _u4778, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4774, tc_HOL_Obool)), _u4780), _u4782)) | c_Fun_Oinj__on(_u4774, _u4776, _u4778, _u4782) )).
% 12.17/12.38 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u4774, _u4776, _u4778, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4774, tc_HOL_Obool)), _u4780), _u4782)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4776, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4774, _u4776, _u4778), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4774, tc_HOL_Obool)), _u4780), _u4782))), hAPP(c_Set_Oimage(_u4774, _u4776, _u4778), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4774, tc_HOL_Obool)), _u4782), _u4780))) = c_Orderings_Obot__class_Obot(tc_fun(_u4776, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u4775, _u4777, _u4779, _u4781) | ~c_Fun_Oinj__on(_u4775, _u4777, _u4779, _u4783) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4777, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4775, _u4777, _u4779), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4775, tc_HOL_Obool)), _u4781), _u4783))), hAPP(c_Set_Oimage(_u4775, _u4777, _u4779), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4775, tc_HOL_Obool)), _u4783), _u4781))) != c_Orderings_Obot__class_Obot(tc_fun(_u4777, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4775, _u4777, _u4779, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4775, tc_HOL_Obool)), _u4781), _u4783)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4785), _u4786)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4785), _u4787)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4784), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4784, _u4785, c_Groups_Otimes__class_Otimes(_u4784)), _u4788), c_Groups_Oone__class_Oone(_u4784)), _u4786)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4784, _u4785, c_Groups_Otimes__class_Otimes(_u4784)), _u4788), c_Groups_Oone__class_Oone(_u4784)), _u4787)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4784), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4784, _u4785, c_Groups_Otimes__class_Otimes(_u4784)), _u4788), c_Groups_Oone__class_Oone(_u4784)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4785, tc_HOL_Obool)), _u4786), _u4787))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4784, _u4785, c_Groups_Otimes__class_Otimes(_u4784)), _u4788), c_Groups_Oone__class_Oone(_u4784)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4785, tc_HOL_Obool)), _u4786), _u4787)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4789) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4789), _u4790)) | ( _u4790 = c_Orderings_Obot__class_Obot(tc_fun(_u4789, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4789), _u4791)) | ( _u4791 = c_Orderings_Obot__class_Obot(tc_fun(_u4789, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4789, tc_HOL_Obool)), _u4790), _u4791) != c_Orderings_Obot__class_Obot(tc_fun(_u4789, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u4789, c_Groups_Otimes__class_Otimes(_u4789)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4789, tc_HOL_Obool)), _u4790), _u4791)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4789), hAPP(c_Finite__Set_Ofold1(_u4789, c_Groups_Otimes__class_Otimes(_u4789)), _u4790)), hAPP(c_Finite__Set_Ofold1(_u4789, c_Groups_Otimes__class_Otimes(_u4789)), _u4791))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u4792) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4792), _u4793)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4792), _u4794)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4792, tc_HOL_Obool)), _u4793), _u4794) = c_Orderings_Obot__class_Obot(tc_fun(_u4792, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4792), c_Big__Operators_Olattice__class_OSup__fin(_u4792, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4792, tc_HOL_Obool)), _u4793), _u4794))), c_Big__Operators_Olattice__class_OSup__fin(_u4792, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4792, tc_HOL_Obool)), _u4793), _u4794))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4792), c_Big__Operators_Olattice__class_OSup__fin(_u4792, _u4793)), c_Big__Operators_Olattice__class_OSup__fin(_u4792, _u4794))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u4795) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4795), _u4796)) | ( _u4796 = c_Orderings_Obot__class_Obot(tc_fun(_u4795, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4795), _u4797)) | ( _u4797 = c_Orderings_Obot__class_Obot(tc_fun(_u4795, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4795, tc_HOL_Obool)), _u4796), _u4797) != c_Orderings_Obot__class_Obot(tc_fun(_u4795, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4795, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4795, tc_HOL_Obool)), _u4796), _u4797)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4795), c_Big__Operators_Olattice__class_OSup__fin(_u4795, _u4796)), c_Big__Operators_Olattice__class_OSup__fin(_u4795, _u4797))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u4798) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4798), _u4799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4798), _u4800)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4798, tc_HOL_Obool)), _u4799), _u4800) = c_Orderings_Obot__class_Obot(tc_fun(_u4798, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4798), c_Big__Operators_Olinorder__class_OMin(_u4798, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4798, tc_HOL_Obool)), _u4799), _u4800))), c_Big__Operators_Olinorder__class_OMin(_u4798, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4798, tc_HOL_Obool)), _u4799), _u4800))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4798), c_Big__Operators_Olinorder__class_OMin(_u4798, _u4799)), c_Big__Operators_Olinorder__class_OMin(_u4798, _u4800))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u4801) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4801), _u4802)) | ( _u4802 = c_Orderings_Obot__class_Obot(tc_fun(_u4801, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4801), _u4803)) | ( _u4803 = c_Orderings_Obot__class_Obot(tc_fun(_u4801, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4801, tc_HOL_Obool)), _u4802), _u4803) != c_Orderings_Obot__class_Obot(tc_fun(_u4801, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4801, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4801, tc_HOL_Obool)), _u4802), _u4803)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4801), c_Big__Operators_Olinorder__class_OMin(_u4801, _u4802)), c_Big__Operators_Olinorder__class_OMin(_u4801, _u4803))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u4804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4804), _u4805)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4804), _u4806)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4804, tc_HOL_Obool)), _u4805), _u4806) = c_Orderings_Obot__class_Obot(tc_fun(_u4804, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4804), c_Big__Operators_Olinorder__class_OMax(_u4804, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4804, tc_HOL_Obool)), _u4805), _u4806))), c_Big__Operators_Olinorder__class_OMax(_u4804, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4804, tc_HOL_Obool)), _u4805), _u4806))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4804), c_Big__Operators_Olinorder__class_OMax(_u4804, _u4805)), c_Big__Operators_Olinorder__class_OMax(_u4804, _u4806))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u4807) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4807), _u4808)) | ( _u4808 = c_Orderings_Obot__class_Obot(tc_fun(_u4807, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4807), _u4809)) | ( _u4809 = c_Orderings_Obot__class_Obot(tc_fun(_u4807, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4807, tc_HOL_Obool)), _u4808), _u4809) != c_Orderings_Obot__class_Obot(tc_fun(_u4807, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u4807, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4807, tc_HOL_Obool)), _u4808), _u4809)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4807), c_Big__Operators_Olinorder__class_OMax(_u4807, _u4808)), c_Big__Operators_Olinorder__class_OMax(_u4807, _u4809))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u4810) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4810), _u4811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4810), _u4812)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4810, tc_HOL_Obool)), _u4811), _u4812) = c_Orderings_Obot__class_Obot(tc_fun(_u4810, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4810), c_Big__Operators_Olattice_OInf__fin(_u4810, c_Orderings_Oord__class_Omin(_u4810), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4810, tc_HOL_Obool)), _u4811), _u4812))), c_Big__Operators_Olattice_OInf__fin(_u4810, c_Orderings_Oord__class_Omin(_u4810), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4810, tc_HOL_Obool)), _u4811), _u4812))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4810), c_Big__Operators_Olattice_OInf__fin(_u4810, c_Orderings_Oord__class_Omin(_u4810), _u4811)), c_Big__Operators_Olattice_OInf__fin(_u4810, c_Orderings_Oord__class_Omin(_u4810), _u4812))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u4813) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4813), _u4814)) | ( _u4814 = c_Orderings_Obot__class_Obot(tc_fun(_u4813, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4813), _u4815)) | ( _u4815 = c_Orderings_Obot__class_Obot(tc_fun(_u4813, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4813, tc_HOL_Obool)), _u4814), _u4815) != c_Orderings_Obot__class_Obot(tc_fun(_u4813, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4813, c_Orderings_Oord__class_Omin(_u4813), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4813, tc_HOL_Obool)), _u4814), _u4815)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4813), c_Big__Operators_Olattice_OInf__fin(_u4813, c_Orderings_Oord__class_Omin(_u4813), _u4814)), c_Big__Operators_Olattice_OInf__fin(_u4813, c_Orderings_Oord__class_Omin(_u4813), _u4815))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u4816) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4816), _u4817)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4816), _u4818)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4816, tc_HOL_Obool)), _u4817), _u4818) = c_Orderings_Obot__class_Obot(tc_fun(_u4816, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4816), c_Big__Operators_Olattice_OSup__fin(_u4816, c_Orderings_Oord__class_Omax(_u4816), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4816, tc_HOL_Obool)), _u4817), _u4818))), c_Big__Operators_Olattice_OSup__fin(_u4816, c_Orderings_Oord__class_Omax(_u4816), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4816, tc_HOL_Obool)), _u4817), _u4818))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4816), c_Big__Operators_Olattice_OSup__fin(_u4816, c_Orderings_Oord__class_Omax(_u4816), _u4817)), c_Big__Operators_Olattice_OSup__fin(_u4816, c_Orderings_Oord__class_Omax(_u4816), _u4818))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u4819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4820)) | ( _u4820 = c_Orderings_Obot__class_Obot(tc_fun(_u4819, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4821)) | ( _u4821 = c_Orderings_Obot__class_Obot(tc_fun(_u4819, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4819, tc_HOL_Obool)), _u4820), _u4821) != c_Orderings_Obot__class_Obot(tc_fun(_u4819, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u4819, c_Orderings_Oord__class_Omax(_u4819), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4819, tc_HOL_Obool)), _u4820), _u4821)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4819), c_Big__Operators_Olattice_OSup__fin(_u4819, c_Orderings_Oord__class_Omax(_u4819), _u4820)), c_Big__Operators_Olattice_OSup__fin(_u4819, c_Orderings_Oord__class_Omax(_u4819), _u4821))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4822), _u4823)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4822), _u4824)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4822, tc_Nat_Onat), _u4825), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4822, tc_HOL_Obool)), _u4823), _u4824)) = 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(_u4822, tc_Nat_Onat), _u4825), _u4823)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4822, tc_Nat_Onat), _u4825), _u4824))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4822, tc_Nat_Onat), _u4825), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4822, tc_HOL_Obool)), _u4823), _u4824)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4826, _u4827, _u4828), _u4829) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4827, tc_fun(_u4826, tc_HOL_Obool)), _u4829), hAPP(hAPP(c_COMBB(tc_fun(_u4827, tc_HOL_Obool), tc_fun(_u4826, tc_HOL_Obool), _u4827), c_Set_Ovimage(_u4826, _u4827, _u4828)), hAPP(hAPP(c_COMBC(_u4827, tc_fun(_u4827, tc_HOL_Obool), tc_fun(_u4827, tc_HOL_Obool)), c_Set_Oinsert(_u4827)), c_Orderings_Obot__class_Obot(tc_fun(_u4827, tc_HOL_Obool)))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u4830, _u4831, _u4832), _u4833) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4830, tc_fun(_u4831, tc_HOL_Obool)), _u4833), hAPP(hAPP(c_COMBC(_u4830, tc_fun(_u4831, tc_HOL_Obool), tc_fun(_u4831, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u4831, tc_fun(tc_fun(_u4831, tc_HOL_Obool), tc_fun(_u4831, tc_HOL_Obool)), _u4830), c_Set_Oinsert(_u4831)), _u4832)), c_Orderings_Obot__class_Obot(tc_fun(_u4831, tc_HOL_Obool))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4834), _u4835), _u4836)) | ~hBOOL(hAPP(hAPP(c_member(_u4837), _u4838), hAPP(_u4839, _u4835))) | hBOOL(hAPP(hAPP(c_member(_u4837), _u4838), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4834, tc_fun(_u4837, tc_HOL_Obool)), _u4836), _u4839))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4840) | ~hBOOL(hAPP(hAPP(c_member(_u4841), _u4842), _u4843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4840), hAPP(_u4844, _u4842)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4841, _u4840), _u4843), _u4844))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4846, tc_HOL_Obool)), _u4847), _u4848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4845), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4846, _u4845), _u4847), _u4849)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4846, _u4845), _u4848), _u4849))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4850) | ( _u4851 = c_Orderings_Obot__class_Obot(tc_fun(_u4852, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4852, _u4850), _u4851), hAPP(c_COMBK(_u4850, _u4852), _u4853)) = _u4853) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4854, tc_fun(_u4855, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4854), _u4856), _u4857)), _u4858) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4855, tc_HOL_Obool)), hAPP(_u4858, _u4856)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4854, tc_fun(_u4855, tc_HOL_Obool)), _u4857), _u4858))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u4864 != c_Orderings_Obot__class_Obot(tc_fun(_u4866, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4866, tc_fun(_u4868, tc_HOL_Obool)), _u4864), hAPP(hAPP(c_COMBB(tc_fun(_u4868, tc_HOL_Obool), tc_fun(_u4868, tc_HOL_Obool), _u4866), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4868, tc_HOL_Obool)), _u4870)), _u4872)) = c_Orderings_Obot__class_Obot(tc_fun(_u4868, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u4865 = c_Orderings_Obot__class_Obot(tc_fun(_u4867, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4867, tc_fun(_u4869, tc_HOL_Obool)), _u4865), hAPP(hAPP(c_COMBB(tc_fun(_u4869, tc_HOL_Obool), tc_fun(_u4869, tc_HOL_Obool), _u4867), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4869, tc_HOL_Obool)), _u4871)), _u4873)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4869, tc_HOL_Obool)), _u4871), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4867, tc_fun(_u4869, tc_HOL_Obool)), _u4865), _u4873))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4874, tc_fun(_u4875, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4876, tc_fun(_u4874, tc_HOL_Obool)), _u4877), _u4878)), _u4879) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4876, tc_fun(_u4875, tc_HOL_Obool)), _u4877), hAPP(hAPP(c_COMBC(_u4876, tc_fun(_u4874, tc_fun(_u4875, tc_HOL_Obool)), tc_fun(_u4875, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4874, tc_HOL_Obool), tc_fun(tc_fun(_u4874, tc_fun(_u4875, tc_HOL_Obool)), tc_fun(_u4875, tc_HOL_Obool)), _u4876), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4874, tc_fun(_u4875, tc_HOL_Obool))), _u4878)), _u4879))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4880, tc_fun(_u4881, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4882, tc_fun(_u4880, tc_HOL_Obool)), _u4883), _u4884)), _u4885) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4882, tc_fun(_u4881, tc_HOL_Obool)), _u4883), hAPP(hAPP(c_COMBC(_u4882, tc_fun(_u4880, tc_fun(_u4881, tc_HOL_Obool)), tc_fun(_u4881, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4880, tc_HOL_Obool), tc_fun(tc_fun(_u4880, tc_fun(_u4881, tc_HOL_Obool)), tc_fun(_u4881, tc_HOL_Obool)), _u4882), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4880, tc_fun(_u4881, tc_HOL_Obool))), _u4884)), _u4885))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4899), _u4888), _u4901)) | ~hBOOL(hAPP(hAPP(c_member(_u4897), _u4887), hAPP(_u4903, _u4888))) | hBOOL(hAPP(_u4905, _u4887)) | hBOOL(hAPP(hAPP(c_member(_u4897), skolem92(_u4905, _u4903, _u4901, _u4899, _u4897)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4899, tc_fun(_u4897, tc_HOL_Obool)), _u4901), _u4903))) )).
% 12.17/12.38 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4899), _u4888), _u4901)) | ~hBOOL(hAPP(hAPP(c_member(_u4897), _u4887), hAPP(_u4903, _u4888))) | hBOOL(hAPP(_u4905, _u4887)) | ~hBOOL(hAPP(_u4905, skolem92(_u4905, _u4903, _u4901, _u4899, _u4897))) )).
% 12.17/12.38 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4898), _u4891), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4900, tc_fun(_u4898, tc_HOL_Obool)), _u4902), _u4904))) | hBOOL(hAPP(_u4906, _u4891)) | hBOOL(hAPP(hAPP(c_member(_u4900), skolem93(_u4906, _u4904, _u4902, _u4900, _u4898)), _u4902)) )).
% 12.17/12.38 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4898), _u4891), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4900, tc_fun(_u4898, tc_HOL_Obool)), _u4902), _u4904))) | hBOOL(hAPP(_u4906, _u4891)) | hBOOL(hAPP(hAPP(c_member(_u4898), skolem94(_u4906, _u4904, _u4902, _u4900, _u4898)), hAPP(_u4904, skolem93(_u4906, _u4904, _u4902, _u4900, _u4898)))) )).
% 12.17/12.38 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4898), _u4891), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4900, tc_fun(_u4898, tc_HOL_Obool)), _u4902), _u4904))) | hBOOL(hAPP(_u4906, _u4891)) | ~hBOOL(hAPP(_u4906, skolem94(_u4906, _u4904, _u4902, _u4900, _u4898))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4907, tc_fun(_u4908, tc_HOL_Obool)), _u4909), hAPP(hAPP(c_COMBC(_u4907, tc_fun(_u4910, tc_fun(_u4908, tc_HOL_Obool)), tc_fun(_u4908, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4910, tc_HOL_Obool), tc_fun(tc_fun(_u4910, tc_fun(_u4908, tc_HOL_Obool)), tc_fun(_u4908, tc_HOL_Obool)), _u4907), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4910, tc_fun(_u4908, tc_HOL_Obool))), _u4911)), _u4912)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4910, tc_fun(_u4908, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4907, tc_fun(_u4910, tc_HOL_Obool)), _u4909), _u4911)), _u4912)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4920, tc_fun(_u4922, tc_HOL_Obool)), _u4924), _u4926), _u4928)) | hBOOL(hAPP(hAPP(c_member(_u4920), skolem95(_u4928, _u4926, _u4924, _u4922, _u4920)), _u4924)) )).
% 12.17/12.38 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4920, tc_fun(_u4922, tc_HOL_Obool)), _u4924), _u4926), _u4928)) | hBOOL(hAPP(hAPP(_u4926, skolem95(_u4928, _u4926, _u4924, _u4922, _u4920)), _u4928)) )).
% 12.17/12.38 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4921), _u4914), _u4925)) | ~hBOOL(hAPP(hAPP(_u4927, _u4914), _u4929)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4921, tc_fun(_u4923, tc_HOL_Obool)), _u4925), _u4927), _u4929)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4939, tc_fun(_u4941, tc_fun(_u4943, tc_HOL_Obool))), _u4945), _u4947), _u4949), _u4951)) | hBOOL(hAPP(hAPP(c_member(_u4939), skolem96(_u4951, _u4949, _u4947, _u4945, _u4943, _u4941, _u4939)), _u4945)) )).
% 12.17/12.38 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4939, tc_fun(_u4941, tc_fun(_u4943, tc_HOL_Obool))), _u4945), _u4947), _u4949), _u4951)) | hBOOL(hAPP(hAPP(hAPP(_u4947, skolem96(_u4951, _u4949, _u4947, _u4945, _u4943, _u4941, _u4939)), _u4949), _u4951)) )).
% 12.17/12.38 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4940), _u4931), _u4946)) | ~hBOOL(hAPP(hAPP(hAPP(_u4948, _u4931), _u4950), _u4952)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4940, tc_fun(_u4942, tc_fun(_u4944, tc_HOL_Obool))), _u4946), _u4948), _u4950), _u4952)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4960), _u4962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4964, tc_fun(_u4960, tc_HOL_Obool)), _u4966), _u4968))) | hBOOL(hAPP(hAPP(c_member(_u4964), skolem97(_u4968, _u4966, _u4964, _u4962, _u4960)), _u4966)) )).
% 12.17/12.38 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4960), _u4962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4964, tc_fun(_u4960, tc_HOL_Obool)), _u4966), _u4968))) | hBOOL(hAPP(hAPP(c_member(_u4960), _u4962), hAPP(_u4968, skolem97(_u4968, _u4966, _u4964, _u4962, _u4960)))) )).
% 12.17/12.38 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4965), _u4954), _u4967)) | ~hBOOL(hAPP(hAPP(c_member(_u4961), _u4963), hAPP(_u4969, _u4954))) | hBOOL(hAPP(hAPP(c_member(_u4961), _u4963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4965, tc_fun(_u4961, tc_HOL_Obool)), _u4967), _u4969))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4976, tc_fun(_u4978, tc_HOL_Obool)), _u4980), _u4982) != c_Orderings_Obot__class_Obot(tc_fun(_u4978, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4976), _u4970), _u4980)) | ( hAPP(_u4982, _u4970) = c_Orderings_Obot__class_Obot(tc_fun(_u4978, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4977, tc_fun(_u4979, tc_HOL_Obool)), _u4981), _u4983) = c_Orderings_Obot__class_Obot(tc_fun(_u4979, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4977), skolem98(_u4983, _u4981, _u4979, _u4977)), _u4981)) )).
% 12.17/12.38 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4977, tc_fun(_u4979, tc_HOL_Obool)), _u4981), _u4983) = c_Orderings_Obot__class_Obot(tc_fun(_u4979, tc_HOL_Obool))) | ( hAPP(_u4983, skolem98(_u4983, _u4981, _u4979, _u4977)) != c_Orderings_Obot__class_Obot(tc_fun(_u4979, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__constant-1, axiom, ( ( _u4988 != c_Orderings_Obot__class_Obot(tc_fun(_u4990, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4990, tc_fun(_u4992, tc_HOL_Obool)), _u4988), hAPP(c_COMBK(tc_fun(_u4992, tc_HOL_Obool), _u4990), _u4994)) = c_Orderings_Obot__class_Obot(tc_fun(_u4992, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_UN__constant-2, axiom, ( ( _u4989 = c_Orderings_Obot__class_Obot(tc_fun(_u4991, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4991, tc_fun(_u4993, tc_HOL_Obool)), _u4989), hAPP(c_COMBK(tc_fun(_u4993, tc_HOL_Obool), _u4991), _u4995)) = _u4995) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4996, tc_fun(_u4997, tc_HOL_Obool)), _u4998), hAPP(c_COMBK(tc_fun(_u4997, tc_HOL_Obool), _u4996), c_Orderings_Obot__class_Obot(tc_fun(_u4997, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4997, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5007, tc_fun(_u5005, tc_HOL_Obool)), _u5009), _u5011)) | ~hBOOL(hAPP(hAPP(c_member(_u5007), _u4999), _u5009)) | ( hAPP(_u5011, _u4999) = c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u5006, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5008, tc_fun(_u5006, tc_HOL_Obool)), _u5010), _u5012)) | hBOOL(hAPP(hAPP(c_member(_u5008), skolem99(_u5012, _u5010, _u5008, _u5006)), _u5010)) )).
% 12.17/12.38 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u5006, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5008, tc_fun(_u5006, tc_HOL_Obool)), _u5010), _u5012)) | ( hAPP(_u5012, skolem99(_u5012, _u5010, _u5008, _u5006)) != c_Orderings_Obot__class_Obot(tc_fun(_u5006, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5020, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5022, tc_fun(_u5020, tc_HOL_Obool)), _u5024), _u5026)), _u5028)) | ~hBOOL(hAPP(hAPP(c_member(_u5022), _u5013), _u5024)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5020, tc_HOL_Obool)), hAPP(_u5026, _u5013)), _u5028)) )).
% 12.17/12.38 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5021, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5023, tc_fun(_u5021, tc_HOL_Obool)), _u5025), _u5027)), _u5029)) | hBOOL(hAPP(hAPP(c_member(_u5023), skolem100(_u5029, _u5027, _u5025, _u5023, _u5021)), _u5025)) )).
% 12.17/12.38 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5021, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5023, tc_fun(_u5021, tc_HOL_Obool)), _u5025), _u5027)), _u5029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5021, tc_HOL_Obool)), hAPP(_u5027, skolem100(_u5029, _u5027, _u5025, _u5023, _u5021))), _u5029)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5030, tc_fun(_u5031, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5032, _u5030, _u5033), _u5034)), _u5035) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5032, tc_fun(_u5031, tc_HOL_Obool)), _u5034), hAPP(hAPP(c_COMBB(_u5030, tc_fun(_u5031, tc_HOL_Obool), _u5032), _u5035), _u5033))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u5036, _u5037, _u5038), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5039, tc_fun(_u5036, tc_HOL_Obool)), _u5040), _u5041)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5039, tc_fun(_u5037, tc_HOL_Obool)), _u5040), hAPP(hAPP(c_COMBB(tc_fun(_u5036, tc_HOL_Obool), tc_fun(_u5037, tc_HOL_Obool), _u5039), c_Set_Oimage(_u5036, _u5037, _u5038)), _u5041))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5042, tc_fun(_u5043, tc_HOL_Obool)), _u5044), hAPP(hAPP(c_COMBB(_u5045, tc_fun(_u5043, tc_HOL_Obool), _u5042), _u5046), _u5047)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5045, tc_fun(_u5043, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5042, _u5045, _u5047), _u5044)), _u5046)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5048, tc_fun(_u5049, tc_HOL_Obool)), _u5050), hAPP(hAPP(c_COMBS(_u5048, tc_fun(_u5049, tc_HOL_Obool), tc_fun(_u5049, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5049, tc_HOL_Obool), tc_fun(tc_fun(_u5049, tc_HOL_Obool), tc_fun(_u5049, tc_HOL_Obool)), _u5048), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5049, tc_HOL_Obool))), _u5051)), _u5052)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5049, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5048, tc_fun(_u5049, tc_HOL_Obool)), _u5050), _u5051)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5048, tc_fun(_u5049, tc_HOL_Obool)), _u5050), _u5052))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5053, tc_fun(_u5054, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5053, tc_HOL_Obool)), _u5055), _u5056)), _u5057) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5054, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5053, tc_fun(_u5054, tc_HOL_Obool)), _u5055), _u5057)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5053, tc_fun(_u5054, tc_HOL_Obool)), _u5056), _u5057))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5058, tc_fun(_u5059, tc_HOL_Obool)), _u5060), hAPP(hAPP(c_COMBB(tc_fun(_u5059, tc_HOL_Obool), tc_fun(_u5059, tc_HOL_Obool), _u5058), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5059, tc_HOL_Obool)), _u5061)), _u5062)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5059, tc_HOL_Obool)), _u5061), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5058, tc_fun(_u5059, tc_HOL_Obool)), _u5060), _u5062))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5063, tc_fun(_u5064, tc_HOL_Obool)), _u5065), hAPP(hAPP(c_COMBC(_u5063, tc_fun(_u5064, tc_HOL_Obool), tc_fun(_u5064, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5064, tc_HOL_Obool), tc_fun(tc_fun(_u5064, tc_HOL_Obool), tc_fun(_u5064, tc_HOL_Obool)), _u5063), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5064, tc_HOL_Obool))), _u5066)), _u5067)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5064, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5063, tc_fun(_u5064, tc_HOL_Obool)), _u5065), _u5066)), _u5067)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5068, tc_HOL_Obool)), _u5069), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5070, tc_fun(_u5068, tc_HOL_Obool)), _u5071), _u5072)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5070, tc_fun(_u5068, tc_HOL_Obool)), _u5071), hAPP(hAPP(c_COMBB(tc_fun(_u5068, tc_HOL_Obool), tc_fun(_u5068, tc_HOL_Obool), _u5070), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5068, tc_HOL_Obool)), _u5069)), _u5072))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5073, tc_HOL_Obool)), _u5074), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5075, tc_fun(_u5073, tc_HOL_Obool)), _u5076), _u5077)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5075, tc_fun(_u5073, tc_HOL_Obool)), _u5076), hAPP(hAPP(c_COMBB(tc_fun(_u5073, tc_HOL_Obool), tc_fun(_u5073, tc_HOL_Obool), _u5075), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5073, tc_HOL_Obool)), _u5074)), _u5077))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5078, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5079, tc_fun(_u5078, tc_HOL_Obool)), _u5080), _u5081)), _u5082) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5079, tc_fun(_u5078, tc_HOL_Obool)), _u5080), hAPP(hAPP(c_COMBC(_u5079, tc_fun(_u5078, tc_HOL_Obool), tc_fun(_u5078, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5078, tc_HOL_Obool), tc_fun(tc_fun(_u5078, tc_HOL_Obool), tc_fun(_u5078, tc_HOL_Obool)), _u5079), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5078, tc_HOL_Obool))), _u5081)), _u5082))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5083, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5084, tc_fun(_u5083, tc_HOL_Obool)), _u5085), _u5086)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5087, tc_fun(_u5083, tc_HOL_Obool)), _u5088), _u5089)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5084, tc_fun(_u5083, tc_HOL_Obool)), _u5085), hAPP(hAPP(c_COMBB(tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool)), tc_fun(_u5083, tc_HOL_Obool), _u5084), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5087, tc_fun(_u5083, tc_HOL_Obool)), _u5088)), hAPP(hAPP(c_COMBC(_u5084, tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool)), tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5083, tc_HOL_Obool), tc_fun(_u5083, tc_HOL_Obool)), tc_fun(tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool)), tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool))), _u5084), c_COMBB(tc_fun(_u5083, tc_HOL_Obool), tc_fun(_u5083, tc_HOL_Obool), _u5087)), hAPP(hAPP(c_COMBB(tc_fun(_u5083, tc_HOL_Obool), tc_fun(tc_fun(_u5083, tc_HOL_Obool), tc_fun(_u5083, tc_HOL_Obool)), _u5084), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5083, tc_HOL_Obool))), _u5086))), _u5089)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5090) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5091, _u5090), _u5092), hAPP(hAPP(c_COMBB(tc_fun(_u5093, _u5090), _u5090, _u5091), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5093, _u5090), _u5094)), _u5095)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5093, _u5090), _u5094), hAPP(hAPP(c_COMBB(tc_fun(_u5091, _u5090), _u5090, _u5093), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5091, _u5090), _u5092)), hAPP(c_COMBC(_u5091, _u5093, _u5090), _u5095)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5096) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5097, tc_fun(_u5098, _u5096)), _u5099), _u5100), _u5101) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5097, _u5096), _u5099), hAPP(hAPP(c_COMBC(_u5097, _u5098, _u5096), _u5100), _u5101))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5102, tc_fun(_u5103, tc_HOL_Obool)), _u5104), hAPP(hAPP(c_COMBC(_u5102, tc_fun(_u5103, tc_HOL_Obool), tc_fun(_u5103, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5103, tc_HOL_Obool), tc_fun(tc_fun(_u5103, tc_HOL_Obool), tc_fun(_u5103, tc_HOL_Obool)), _u5102), c_Groups_Ominus__class_Ominus(tc_fun(_u5103, tc_HOL_Obool))), _u5105)), _u5106)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5103, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5102, tc_fun(_u5103, tc_HOL_Obool)), _u5104), _u5105)), _u5106)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5107, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5108, tc_fun(_u5107, tc_HOL_Obool)), _u5109), _u5110)), _u5111) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5108, tc_fun(_u5107, tc_HOL_Obool)), _u5109), hAPP(hAPP(c_COMBC(_u5108, tc_fun(_u5107, tc_HOL_Obool), tc_fun(_u5107, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5107, tc_HOL_Obool), tc_fun(tc_fun(_u5107, tc_HOL_Obool), tc_fun(_u5107, tc_HOL_Obool)), _u5108), c_Groups_Ominus__class_Ominus(tc_fun(_u5107, tc_HOL_Obool))), _u5110)), _u5111))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u5112, _u5113, _u5114), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5115, tc_fun(_u5113, tc_HOL_Obool)), _u5116), _u5117)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5115, tc_fun(_u5112, tc_HOL_Obool)), _u5116), hAPP(hAPP(c_COMBB(tc_fun(_u5113, tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool), _u5115), c_Set_Ovimage(_u5112, _u5113, _u5114)), _u5117))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5118), _u5119), _u5120)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5118, tc_fun(_u5121, tc_HOL_Obool)), _u5120), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_HOL_Obool), tc_fun(_u5121, tc_HOL_Obool), _u5118), hAPP(c_Set_Oinsert(_u5121), _u5122)), _u5123)) = hAPP(hAPP(c_Set_Oinsert(_u5121), _u5122), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5118, tc_fun(_u5121, tc_HOL_Obool)), _u5120), _u5123))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5124), _u5125), _u5126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5127, tc_HOL_Obool)), hAPP(_u5128, _u5125)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5124, tc_fun(_u5127, tc_HOL_Obool)), _u5126), _u5128))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5129), _u5130), _u5131)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5132, tc_HOL_Obool)), hAPP(_u5133, _u5130)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5129, tc_fun(_u5132, tc_HOL_Obool)), _u5131), _u5133)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5129, tc_fun(_u5132, tc_HOL_Obool)), _u5131), _u5133)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u5139 != c_Orderings_Obot__class_Obot(tc_fun(_u5141, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u5143), _u5145), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5141, tc_fun(_u5143, tc_HOL_Obool)), _u5139), _u5147)) = hAPP(hAPP(c_Set_Oinsert(_u5143), _u5145), c_Orderings_Obot__class_Obot(tc_fun(_u5143, tc_HOL_Obool)))) )).
% 12.17/12.38 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u5140 = c_Orderings_Obot__class_Obot(tc_fun(_u5142, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u5144), _u5146), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5142, tc_fun(_u5144, tc_HOL_Obool)), _u5140), _u5148)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5142, tc_fun(_u5144, tc_HOL_Obool)), _u5140), hAPP(hAPP(c_COMBB(tc_fun(_u5144, tc_HOL_Obool), tc_fun(_u5144, tc_HOL_Obool), _u5142), hAPP(c_Set_Oinsert(_u5144), _u5146)), _u5148))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5149, tc_fun(_u5149, tc_HOL_Obool)), _u5150), hAPP(hAPP(c_COMBC(_u5149, tc_fun(_u5149, tc_HOL_Obool), tc_fun(_u5149, tc_HOL_Obool)), c_Set_Oinsert(_u5149)), c_Orderings_Obot__class_Obot(tc_fun(_u5149, tc_HOL_Obool)))) = _u5150) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u5156 != c_Orderings_Obot__class_Obot(tc_fun(_u5158, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5158, tc_fun(_u5160, tc_HOL_Obool)), _u5156), hAPP(hAPP(c_COMBB(tc_fun(_u5160, tc_HOL_Obool), tc_fun(_u5160, tc_HOL_Obool), _u5158), hAPP(c_Set_Oinsert(_u5160), _u5162)), _u5164)) = c_Orderings_Obot__class_Obot(tc_fun(_u5160, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u5157 = c_Orderings_Obot__class_Obot(tc_fun(_u5159, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5159, tc_fun(_u5161, tc_HOL_Obool)), _u5157), hAPP(hAPP(c_COMBB(tc_fun(_u5161, tc_HOL_Obool), tc_fun(_u5161, tc_HOL_Obool), _u5159), hAPP(c_Set_Oinsert(_u5161), _u5163)), _u5165)) = hAPP(hAPP(c_Set_Oinsert(_u5161), _u5163), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5159, tc_fun(_u5161, tc_HOL_Obool)), _u5157), _u5165))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5169, _u5168), _u5170), _u5171)), _u5172)) | ~hBOOL(hAPP(hAPP(c_member(_u5169), _u5166), _u5170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(_u5171, _u5166)), _u5172)) )).
% 12.17/12.38 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5168) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5169, _u5168), _u5170), _u5171)), _u5172)) | hBOOL(hAPP(hAPP(c_member(_u5169), skolem101(_u5172, _u5171, _u5170, _u5169, _u5168)), _u5170)) )).
% 12.17/12.38 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5168) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5169, _u5168), _u5170), _u5171)), _u5172)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(_u5171, skolem101(_u5172, _u5171, _u5170, _u5169, _u5168))), _u5172)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5175) | ~class_Orderings_Olinorder(_u5175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5177, _u5175), _u5178), _u5179))) | hBOOL(hAPP(hAPP(c_member(_u5177), skolem102(_u5179, _u5178, _u5177, _u5176, _u5175)), _u5178)) )).
% 12.17/12.38 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5175) | ~class_Orderings_Olinorder(_u5175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5177, _u5175), _u5178), _u5179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(_u5179, skolem102(_u5179, _u5178, _u5177, _u5176, _u5175)))) )).
% 12.17/12.38 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5175) | ~class_Orderings_Olinorder(_u5175) | ~hBOOL(hAPP(hAPP(c_member(_u5177), _u5174), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(_u5179, _u5174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5177, _u5175), _u5178), _u5179))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u5185 != c_Orderings_Obot__class_Obot(tc_fun(_u5187, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5189, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5187, tc_fun(_u5189, tc_HOL_Obool)), _u5185), _u5191)), _u5193) = _u5193) )).
% 12.17/12.38 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u5186 = c_Orderings_Obot__class_Obot(tc_fun(_u5188, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5190, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5188, tc_fun(_u5190, tc_HOL_Obool)), _u5186), _u5192)), _u5194) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5188, tc_fun(_u5190, tc_HOL_Obool)), _u5186), hAPP(hAPP(c_COMBC(_u5188, tc_fun(_u5190, tc_HOL_Obool), tc_fun(_u5190, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5190, tc_HOL_Obool), tc_fun(tc_fun(_u5190, tc_HOL_Obool), tc_fun(_u5190, tc_HOL_Obool)), _u5188), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5190, tc_HOL_Obool))), _u5192)), _u5194))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u5200 != c_Orderings_Obot__class_Obot(tc_fun(_u5202, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5204, tc_HOL_Obool)), _u5206), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5202, tc_fun(_u5204, tc_HOL_Obool)), _u5200), _u5208)) = _u5206) )).
% 12.17/12.38 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u5201 = c_Orderings_Obot__class_Obot(tc_fun(_u5203, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5205, tc_HOL_Obool)), _u5207), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5203, tc_fun(_u5205, tc_HOL_Obool)), _u5201), _u5209)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5203, tc_fun(_u5205, tc_HOL_Obool)), _u5201), hAPP(hAPP(c_COMBB(tc_fun(_u5205, tc_HOL_Obool), tc_fun(_u5205, tc_HOL_Obool), _u5203), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5205, tc_HOL_Obool)), _u5207)), _u5209))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u5215 != c_Orderings_Obot__class_Obot(tc_fun(_u5217, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5217, tc_fun(_u5219, tc_HOL_Obool)), _u5215), hAPP(hAPP(c_COMBC(_u5217, tc_fun(_u5219, tc_HOL_Obool), tc_fun(_u5219, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5219, tc_HOL_Obool), tc_fun(tc_fun(_u5219, tc_HOL_Obool), tc_fun(_u5219, tc_HOL_Obool)), _u5217), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5219, tc_HOL_Obool))), _u5221)), _u5223)) = c_Orderings_Obot__class_Obot(tc_fun(_u5219, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u5216 = c_Orderings_Obot__class_Obot(tc_fun(_u5218, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5218, tc_fun(_u5220, tc_HOL_Obool)), _u5216), hAPP(hAPP(c_COMBC(_u5218, tc_fun(_u5220, tc_HOL_Obool), tc_fun(_u5220, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5220, tc_HOL_Obool), tc_fun(tc_fun(_u5220, tc_HOL_Obool), tc_fun(_u5220, tc_HOL_Obool)), _u5218), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5220, tc_HOL_Obool))), _u5222)), _u5224)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5220, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5218, tc_fun(_u5220, tc_HOL_Obool)), _u5216), _u5222)), _u5224)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5226) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5228)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5229)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5227, tc_HOL_Obool)), _u5228), _u5229)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), _u5228)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), _u5229))) | hBOOL(hAPP(hAPP(c_member(_u5227), skolem103(_u5230, _u5229, _u5228, _u5227, _u5226)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5227, tc_HOL_Obool)), _u5228), _u5229))) )).
% 12.17/12.38 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5226) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5228)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5229)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5227, tc_HOL_Obool)), _u5228), _u5229)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), _u5228)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), _u5229))) | ( hAPP(_u5230, skolem103(_u5230, _u5229, _u5228, _u5227, _u5226)) != c_Groups_Oone__class_Oone(_u5226)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5232) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5234)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5235)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5233, tc_HOL_Obool)), _u5234), _u5235)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5232), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), _u5234)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), _u5235))) | hBOOL(hAPP(hAPP(c_member(_u5233), skolem104(_u5236, _u5235, _u5234, _u5233, _u5232)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5233, tc_HOL_Obool)), _u5234), _u5235))) )).
% 12.17/12.38 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5232) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5234)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5235)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5233, tc_HOL_Obool)), _u5234), _u5235)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5232), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), _u5234)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), _u5235))) | ( hAPP(_u5236, skolem104(_u5236, _u5235, _u5234, _u5233, _u5232)) != c_Groups_Oone__class_Oone(_u5232)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5238) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5239), _u5240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5239), _u5241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5239, tc_HOL_Obool)), _u5240), _u5241)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5238), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), _u5240)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), _u5241))) | hBOOL(hAPP(hAPP(c_member(_u5239), skolem105(_u5242, _u5241, _u5240, _u5239, _u5238)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5239, tc_HOL_Obool)), _u5240), _u5241))) )).
% 12.17/12.38 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5238) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5239), _u5240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5239), _u5241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5239, tc_HOL_Obool)), _u5240), _u5241)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5238), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), _u5240)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), _u5241))) | ( hAPP(_u5242, skolem105(_u5242, _u5241, _u5240, _u5239, _u5238)) != c_Groups_Oone__class_Oone(_u5238)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u5243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5243), _u5244)) | ~hBOOL(hAPP(hAPP(c_member(_u5243), _u5245), _u5244)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5243, tc_HOL_Obool)), _u5244), hAPP(hAPP(c_Set_Oinsert(_u5243), _u5245), c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5243, _u5244) = _u5245) )).
% 12.17/12.38 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u5243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5243), _u5244)) | ~hBOOL(hAPP(hAPP(c_member(_u5243), _u5245), _u5244)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5243, tc_HOL_Obool)), _u5244), hAPP(hAPP(c_Set_Oinsert(_u5243), _u5245), c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5243, _u5244) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5243), _u5245), c_Big__Operators_Olattice__class_OInf__fin(_u5243, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5243, tc_HOL_Obool)), _u5244), hAPP(hAPP(c_Set_Oinsert(_u5243), _u5245), c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool))))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5247), _u5248)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5247, _u5246), _u5248), _u5249) = hAPP(hAPP(c_Finite__Set_Ofold(_u5247, _u5246, hAPP(hAPP(c_COMBB(_u5246, tc_fun(_u5246, _u5246), _u5247), c_Lattices_Osemilattice__inf__class_Oinf(_u5246)), _u5249)), c_Orderings_Otop__class_Otop(_u5246)), _u5248)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5250), _u5251)) | ~hBOOL(hAPP(hAPP(c_member(_u5250), _u5252), _u5251)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5250, tc_HOL_Obool)), _u5251), hAPP(hAPP(c_Set_Oinsert(_u5250), _u5252), c_Orderings_Obot__class_Obot(tc_fun(_u5250, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u5250), _u5251)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5253) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5253), _u5254)) | ( c_Complete__Lattice_OInf__class_OInf(_u5253, _u5254) = hAPP(hAPP(c_Finite__Set_Ofold(_u5253, _u5253, c_Lattices_Osemilattice__inf__class_Oinf(_u5253)), c_Orderings_Otop__class_Otop(_u5253)), _u5254)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_InterE ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5255), _u5256), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5255, tc_HOL_Obool), _u5257))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5255, tc_HOL_Obool)), _u5258), _u5257)) | hBOOL(hAPP(hAPP(c_member(_u5255), _u5256), _u5258)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_InterD ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5259), _u5260), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5259, tc_HOL_Obool), _u5261))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5259, tc_HOL_Obool)), _u5262), _u5261)) | hBOOL(hAPP(hAPP(c_member(_u5259), _u5260), _u5262)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5264, tc_HOL_Obool)), _u5263), _u5265)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5264), _u5263)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5264), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5264, tc_HOL_Obool), _u5265))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5266, tc_fun(_u5267, tc_HOL_Obool)), _u5268), _u5269), _u5270)) | ~hBOOL(hAPP(hAPP(c_member(_u5266), _u5271), _u5268)) | hBOOL(hAPP(hAPP(_u5269, _u5271), _u5270)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5272, tc_fun(_u5273, tc_HOL_Obool)), _u5274), _u5275), _u5276)) | hBOOL(hAPP(hAPP(_u5275, _u5277), _u5276)) | ~hBOOL(hAPP(hAPP(c_member(_u5272), _u5277), _u5274)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5278), _u5279), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5280, tc_fun(_u5278, tc_HOL_Obool)), _u5281), _u5282))) | ~hBOOL(hAPP(hAPP(c_member(_u5280), _u5283), _u5281)) | hBOOL(hAPP(hAPP(c_member(_u5278), _u5279), hAPP(_u5282, _u5283))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5284), _u5285), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5286, tc_fun(_u5284, tc_HOL_Obool)), _u5287), _u5288))) | hBOOL(hAPP(hAPP(c_member(_u5284), _u5285), hAPP(_u5288, _u5289))) | ~hBOOL(hAPP(hAPP(c_member(_u5286), _u5289), _u5287)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5290, tc_fun(_u5291, tc_fun(_u5292, tc_HOL_Obool))), _u5293), _u5294), _u5295), _u5296)) | ~hBOOL(hAPP(hAPP(c_member(_u5290), _u5297), _u5293)) | hBOOL(hAPP(hAPP(hAPP(_u5294, _u5297), _u5295), _u5296)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5298, tc_fun(_u5299, tc_fun(_u5300, tc_HOL_Obool))), _u5301), _u5302), _u5303), _u5304)) | hBOOL(hAPP(hAPP(hAPP(_u5302, _u5305), _u5303), _u5304)) | ~hBOOL(hAPP(hAPP(c_member(_u5298), _u5305), _u5301)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5307), _u5306), _u5308)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5309), hAPP(_u5310, _u5306))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5309), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5307, tc_fun(_u5309, tc_HOL_Obool)), _u5308), _u5310))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5311), _u5312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5311)), hAPP(c_Nat_OSuc, _u5312))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_lessI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5313), hAPP(c_Nat_OSuc, _u5313))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5314, tc_fun(_u5315, tc_HOL_Obool)), _u5316), hAPP(hAPP(c_COMBS(_u5314, tc_fun(_u5315, tc_HOL_Obool), tc_fun(_u5315, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5315, tc_HOL_Obool), tc_fun(tc_fun(_u5315, tc_HOL_Obool), tc_fun(_u5315, tc_HOL_Obool)), _u5314), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5315, tc_HOL_Obool))), _u5317)), _u5318)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5315, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5315, tc_HOL_Obool), hAPP(c_Set_Oimage(_u5314, tc_fun(_u5315, tc_HOL_Obool), _u5317), _u5316))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5315, tc_HOL_Obool), hAPP(c_Set_Oimage(_u5314, tc_fun(_u5315, tc_HOL_Obool), _u5318), _u5316)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5319) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5320, tc_fun(_u5321, _u5319)), _u5322), _u5323), _u5324) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5320, _u5319), _u5322), hAPP(hAPP(c_COMBC(_u5320, _u5321, _u5319), _u5323), _u5324))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5325, tc_HOL_Obool)), _u5326), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5325, tc_HOL_Obool), _u5327)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u5325, tc_HOL_Obool), tc_fun(_u5325, tc_HOL_Obool)), _u5327), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5325, tc_HOL_Obool)), _u5326))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u5328 != hAPP(c_Nat_OSuc, _u5328)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5329) != _u5329) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5332) != hAPP(c_Nat_OSuc, _u5334)) | ( _u5332 = _u5334) )).
% 12.17/12.38 cnf(fact_nat_Oinject-2, axiom, ( ( _u5333 != _u5335) | ( hAPP(c_Nat_OSuc, _u5333) = hAPP(c_Nat_OSuc, _u5335)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5336) != hAPP(c_Nat_OSuc, _u5337)) | ( _u5336 = _u5337) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5338) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5339, _u5338), _u5340), hAPP(hAPP(c_COMBB(tc_fun(_u5341, _u5338), _u5338, _u5339), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5341, _u5338), _u5342)), _u5343)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5341, _u5338), _u5342), hAPP(hAPP(c_COMBB(tc_fun(_u5339, _u5338), _u5338, _u5341), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5339, _u5338), _u5340)), hAPP(c_COMBC(_u5339, _u5341, _u5338), _u5343)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5344)), hAPP(c_Nat_OSuc, _u5345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5344), _u5345)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5346)), _u5347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5346), _u5347)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5348), hAPP(c_Nat_OSuc, _u5349))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5348), _u5349)) | ( _u5348 = _u5349) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5350), _u5351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5351), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5350)), _u5352)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5353), _u5354)) | ( hAPP(c_Nat_OSuc, _u5353) = _u5354) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5353)), _u5354)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5355), _u5356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5355), hAPP(c_Nat_OSuc, _u5356))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5357), _u5358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5357), hAPP(c_Nat_OSuc, _u5358))) | ( _u5358 = _u5357) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5359), _u5360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5359), hAPP(c_Nat_OSuc, _u5360))) | ( _u5359 = _u5360) )).
% 12.17/12.38 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5359), _u5360)) | ( _u5359 != _u5360) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5359), hAPP(c_Nat_OSuc, _u5360))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5363)), hAPP(c_Nat_OSuc, _u5365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5363), _u5365)) )).
% 12.17/12.38 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5364), _u5366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5364)), hAPP(c_Nat_OSuc, _u5366))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5369), hAPP(c_Nat_OSuc, _u5371))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5369), _u5371)) | ( _u5369 = _u5371) )).
% 12.17/12.38 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5370), hAPP(c_Nat_OSuc, _u5372))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5370), _u5372)) )).
% 12.17/12.38 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5370), hAPP(c_Nat_OSuc, _u5372))) | ( _u5370 != _u5372) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5375), _u5377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5377), hAPP(c_Nat_OSuc, _u5375))) )).
% 12.17/12.38 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5378), hAPP(c_Nat_OSuc, _u5376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5376), _u5378)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5379), hAPP(c_Nat_OSuc, _u5380)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5379), _u5380))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5381)), _u5382) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5381), _u5382))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5383)), _u5384) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5383), hAPP(c_Nat_OSuc, _u5384))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5385)), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5385), _u5386)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5387), hAPP(c_Nat_OSuc, _u5388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5387), _u5388)) | ( _u5387 = hAPP(c_Nat_OSuc, _u5388)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5389), _u5390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5389), hAPP(c_Nat_OSuc, _u5390))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5393)), hAPP(c_Nat_OSuc, _u5395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5393), _u5395)) )).
% 12.17/12.38 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5394), _u5396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5394)), hAPP(c_Nat_OSuc, _u5396))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5399), hAPP(c_Nat_OSuc, _u5401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5399), _u5401)) | ( _u5399 = hAPP(c_Nat_OSuc, _u5401)) )).
% 12.17/12.38 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5400), hAPP(c_Nat_OSuc, _u5402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5400), _u5402)) )).
% 12.17/12.38 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5400), hAPP(c_Nat_OSuc, _u5402))) | ( _u5400 != hAPP(c_Nat_OSuc, _u5402)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5405), _u5407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5407)), _u5405)) )).
% 12.17/12.38 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5408)), _u5406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5406), _u5408)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 12.17/12.38 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, _u5409)), _u5409)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 12.17/12.38 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, _u5410)), _u5411)), hAPP(c_Nat_OSuc, _u5412)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5410), _u5411)), _u5412)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5413)), hAPP(c_Nat_OSuc, _u5414)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5413), _u5414)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u5420 = _u5422) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5418)), _u5420) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5418)), _u5422)) )).
% 12.17/12.38 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u5421 != _u5423) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5419)), _u5421) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5419)), _u5423)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5424, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5424, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u5424, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5425), _u5426)) | ( _u5426 = c_Orderings_Obot__class_Obot(tc_fun(_u5425, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5425, _u5426) = c_Complete__Lattice_OInf__class_OInf(_u5425, _u5426)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u5427, tc_HOL_Obool), tc_HOL_Obool)), _u5428), _u5429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5427, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5427, tc_HOL_Obool), _u5429)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5427, tc_HOL_Obool), _u5428))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5430, tc_HOL_Obool)), _u5431), _u5432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5430, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5430, tc_HOL_Obool), _u5432)), _u5431)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5433, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u5433, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5433, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5434, tc_HOL_Obool)), _u5435), _u5436) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5434, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u5434, tc_HOL_Obool)), _u5435), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u5434, tc_HOL_Obool)), _u5436), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u5434, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5437, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u5437, tc_HOL_Obool)), _u5438), _u5439)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5437, tc_HOL_Obool)), _u5438), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5437, tc_HOL_Obool), _u5439))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5440, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u5440, tc_HOL_Obool), tc_HOL_Obool)), _u5441), _u5442)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5440, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5440, tc_HOL_Obool), _u5441)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5440, tc_HOL_Obool), _u5442))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5450), _u5452), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5454, tc_fun(_u5450, tc_HOL_Obool)), _u5456), _u5458))) | ~hBOOL(hAPP(hAPP(c_member(_u5454), _u5443), _u5456)) | hBOOL(hAPP(hAPP(c_member(_u5450), _u5452), hAPP(_u5458, _u5443))) )).
% 12.17/12.38 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u5451), _u5453), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5455, tc_fun(_u5451, tc_HOL_Obool)), _u5457), _u5459))) | hBOOL(hAPP(hAPP(c_member(_u5455), skolem106(_u5459, _u5457, _u5455, _u5453, _u5451)), _u5457)) )).
% 12.17/12.38 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u5451), _u5453), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5455, tc_fun(_u5451, tc_HOL_Obool)), _u5457), _u5459))) | ~hBOOL(hAPP(hAPP(c_member(_u5451), _u5453), hAPP(_u5459, skolem106(_u5459, _u5457, _u5455, _u5453, _u5451)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5460, tc_fun(_u5461, tc_HOL_Obool)), _u5462), hAPP(hAPP(c_COMBB(tc_fun(_u5461, tc_HOL_Obool), tc_fun(_u5461, tc_HOL_Obool), _u5460), hAPP(c_Set_Oinsert(_u5461), _u5463)), _u5464)) = hAPP(hAPP(c_Set_Oinsert(_u5461), _u5463), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5460, tc_fun(_u5461, tc_HOL_Obool)), _u5462), _u5464))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u5465), _u5466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5467, tc_fun(_u5465, tc_HOL_Obool)), _u5468), _u5469)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5467, tc_fun(_u5465, tc_HOL_Obool)), _u5468), hAPP(hAPP(c_COMBB(tc_fun(_u5465, tc_HOL_Obool), tc_fun(_u5465, tc_HOL_Obool), _u5467), hAPP(c_Set_Oinsert(_u5465), _u5466)), _u5469))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5477, tc_HOL_Obool)), _u5479), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5481, tc_fun(_u5477, tc_HOL_Obool)), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_member(_u5481), _u5470), _u5483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5477, tc_HOL_Obool)), _u5479), hAPP(_u5485, _u5470))) )).
% 12.17/12.38 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5478, tc_HOL_Obool)), _u5480), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5482, tc_fun(_u5478, tc_HOL_Obool)), _u5484), _u5486))) | hBOOL(hAPP(hAPP(c_member(_u5482), skolem107(_u5486, _u5484, _u5482, _u5480, _u5478)), _u5484)) )).
% 12.17/12.38 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5478, tc_HOL_Obool)), _u5480), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5482, tc_fun(_u5478, tc_HOL_Obool)), _u5484), _u5486))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5478, tc_HOL_Obool)), _u5480), hAPP(_u5486, skolem107(_u5486, _u5484, _u5482, _u5480, _u5478)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5493, tc_fun(_u5495, tc_HOL_Obool)), _u5497), _u5499) != c_Orderings_Otop__class_Otop(tc_fun(_u5495, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5493), _u5487), _u5497)) | ( hAPP(_u5499, _u5487) = c_Orderings_Otop__class_Otop(tc_fun(_u5495, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5494, tc_fun(_u5496, tc_HOL_Obool)), _u5498), _u5500) = c_Orderings_Otop__class_Otop(tc_fun(_u5496, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u5494), skolem108(_u5500, _u5498, _u5496, _u5494)), _u5498)) )).
% 12.17/12.38 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5494, tc_fun(_u5496, tc_HOL_Obool)), _u5498), _u5500) = c_Orderings_Otop__class_Otop(tc_fun(_u5496, tc_HOL_Obool))) | ( hAPP(_u5500, skolem108(_u5500, _u5498, _u5496, _u5494)) != c_Orderings_Otop__class_Otop(tc_fun(_u5496, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5507, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5509, tc_fun(_u5507, tc_HOL_Obool)), _u5511), _u5513)) | ~hBOOL(hAPP(hAPP(c_member(_u5509), _u5501), _u5511)) | ( hAPP(_u5513, _u5501) = c_Orderings_Otop__class_Otop(tc_fun(_u5507, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5508, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5510, tc_fun(_u5508, tc_HOL_Obool)), _u5512), _u5514)) | hBOOL(hAPP(hAPP(c_member(_u5510), skolem109(_u5514, _u5512, _u5510, _u5508)), _u5512)) )).
% 12.17/12.38 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5508, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5510, tc_fun(_u5508, tc_HOL_Obool)), _u5512), _u5514)) | ( hAPP(_u5514, skolem109(_u5514, _u5512, _u5510, _u5508)) != c_Orderings_Otop__class_Otop(tc_fun(_u5508, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5515, tc_fun(_u5516, tc_HOL_Obool)), _u5517), hAPP(hAPP(c_COMBB(_u5518, tc_fun(_u5516, tc_HOL_Obool), _u5515), _u5519), _u5520)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5518, tc_fun(_u5516, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5515, _u5518, _u5520), _u5517)), _u5519)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5521, tc_fun(_u5522, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5523, _u5521, _u5524), _u5525)), _u5526) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5523, tc_fun(_u5522, tc_HOL_Obool)), _u5525), hAPP(hAPP(c_COMBB(_u5521, tc_fun(_u5522, tc_HOL_Obool), _u5523), _u5526), _u5524))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5527, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5528, tc_fun(_u5527, tc_HOL_Obool)), _u5529), _u5530)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5531, tc_fun(_u5527, tc_HOL_Obool)), _u5532), _u5533)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5528, tc_fun(_u5527, tc_HOL_Obool)), _u5529), hAPP(hAPP(c_COMBB(tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool)), tc_fun(_u5527, tc_HOL_Obool), _u5528), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5531, tc_fun(_u5527, tc_HOL_Obool)), _u5532)), hAPP(hAPP(c_COMBC(_u5528, tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool)), tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5527, tc_HOL_Obool), tc_fun(_u5527, tc_HOL_Obool)), tc_fun(tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool)), tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool))), _u5528), c_COMBB(tc_fun(_u5527, tc_HOL_Obool), tc_fun(_u5527, tc_HOL_Obool), _u5531)), hAPP(hAPP(c_COMBB(tc_fun(_u5527, tc_HOL_Obool), tc_fun(tc_fun(_u5527, tc_HOL_Obool), tc_fun(_u5527, tc_HOL_Obool)), _u5528), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5527, tc_HOL_Obool))), _u5530))), _u5533)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5534, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5535, tc_fun(_u5534, tc_HOL_Obool)), _u5536), _u5537)), _u5538) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5535, tc_fun(_u5534, tc_HOL_Obool)), _u5536), hAPP(hAPP(c_COMBC(_u5535, tc_fun(_u5534, tc_HOL_Obool), tc_fun(_u5534, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5534, tc_HOL_Obool), tc_fun(tc_fun(_u5534, tc_HOL_Obool), tc_fun(_u5534, tc_HOL_Obool)), _u5535), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5534, tc_HOL_Obool))), _u5537)), _u5538))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5539, tc_HOL_Obool)), _u5540), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5541, tc_fun(_u5539, tc_HOL_Obool)), _u5542), _u5543)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5541, tc_fun(_u5539, tc_HOL_Obool)), _u5542), hAPP(hAPP(c_COMBB(tc_fun(_u5539, tc_HOL_Obool), tc_fun(_u5539, tc_HOL_Obool), _u5541), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5539, tc_HOL_Obool)), _u5540)), _u5543))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5544, tc_HOL_Obool)), _u5545), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5546, tc_fun(_u5544, tc_HOL_Obool)), _u5547), _u5548)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5546, tc_fun(_u5544, tc_HOL_Obool)), _u5547), hAPP(hAPP(c_COMBB(tc_fun(_u5544, tc_HOL_Obool), tc_fun(_u5544, tc_HOL_Obool), _u5546), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5544, tc_HOL_Obool)), _u5545)), _u5548))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5549, tc_fun(_u5550, tc_HOL_Obool)), _u5551), hAPP(hAPP(c_COMBC(_u5549, tc_fun(_u5550, tc_HOL_Obool), tc_fun(_u5550, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5550, tc_HOL_Obool), tc_fun(tc_fun(_u5550, tc_HOL_Obool), tc_fun(_u5550, tc_HOL_Obool)), _u5549), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5550, tc_HOL_Obool))), _u5552)), _u5553)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5550, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5549, tc_fun(_u5550, tc_HOL_Obool)), _u5551), _u5552)), _u5553)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5554, tc_fun(_u5555, tc_HOL_Obool)), _u5556), hAPP(hAPP(c_COMBB(tc_fun(_u5555, tc_HOL_Obool), tc_fun(_u5555, tc_HOL_Obool), _u5554), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5555, tc_HOL_Obool)), _u5557)), _u5558)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5555, tc_HOL_Obool)), _u5557), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5554, tc_fun(_u5555, tc_HOL_Obool)), _u5556), _u5558))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5559, tc_fun(_u5560, tc_HOL_Obool)), _u5561), hAPP(hAPP(c_COMBS(_u5559, tc_fun(_u5560, tc_HOL_Obool), tc_fun(_u5560, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5560, tc_HOL_Obool), tc_fun(tc_fun(_u5560, tc_HOL_Obool), tc_fun(_u5560, tc_HOL_Obool)), _u5559), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5560, tc_HOL_Obool))), _u5562)), _u5563)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5560, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5559, tc_fun(_u5560, tc_HOL_Obool)), _u5561), _u5562)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5559, tc_fun(_u5560, tc_HOL_Obool)), _u5561), _u5563))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5564, tc_fun(_u5565, tc_HOL_Obool)), _u5566), hAPP(hAPP(c_COMBC(_u5564, tc_fun(_u5567, tc_fun(_u5565, tc_HOL_Obool)), tc_fun(_u5565, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5567, tc_HOL_Obool), tc_fun(tc_fun(_u5567, tc_fun(_u5565, tc_HOL_Obool)), tc_fun(_u5565, tc_HOL_Obool)), _u5564), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5567, tc_fun(_u5565, tc_HOL_Obool))), _u5568)), _u5569)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5567, tc_fun(_u5565, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5564, tc_fun(_u5567, tc_HOL_Obool)), _u5566), _u5568)), _u5569)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5570, tc_fun(_u5571, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5572, tc_fun(_u5570, tc_HOL_Obool)), _u5573), _u5574)), _u5575) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5572, tc_fun(_u5571, tc_HOL_Obool)), _u5573), hAPP(hAPP(c_COMBC(_u5572, tc_fun(_u5570, tc_fun(_u5571, tc_HOL_Obool)), tc_fun(_u5571, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5570, tc_HOL_Obool), tc_fun(tc_fun(_u5570, tc_fun(_u5571, tc_HOL_Obool)), tc_fun(_u5571, tc_HOL_Obool)), _u5572), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5570, tc_fun(_u5571, tc_HOL_Obool))), _u5574)), _u5575))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5576)), hAPP(c_Nat_OSuc, _u5577)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u5576), _u5577))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5578)), hAPP(c_Nat_OSuc, _u5579)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u5578), _u5579))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u5580, _u5581, _u5582), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5583, tc_fun(_u5581, tc_HOL_Obool)), _u5584), _u5585)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5583, tc_fun(_u5580, tc_HOL_Obool)), _u5584), hAPP(hAPP(c_COMBB(tc_fun(_u5581, tc_HOL_Obool), tc_fun(_u5580, tc_HOL_Obool), _u5583), c_Set_Ovimage(_u5580, _u5581, _u5582)), _u5585))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), c_Complete__Lattice_OInf__class_OInf(_u5588, _u5590))) | ~hBOOL(hAPP(hAPP(c_member(_u5588), _u5586), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), _u5586)) )).
% 12.17/12.38 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), c_Complete__Lattice_OInf__class_OInf(_u5588, _u5590))) | hBOOL(hAPP(hAPP(c_member(_u5588), skolem110(_u5590, _u5589, _u5588)), _u5590)) )).
% 12.17/12.38 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), c_Complete__Lattice_OInf__class_OInf(_u5588, _u5590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), skolem110(_u5590, _u5589, _u5588))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5593) | ~class_Orderings_Olinorder(_u5593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), c_Complete__Lattice_OInf__class_OInf(_u5593, _u5594)), _u5595)) | hBOOL(hAPP(hAPP(c_member(_u5593), skolem111(_u5595, _u5594, _u5593)), _u5594)) )).
% 12.17/12.38 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5593) | ~class_Orderings_Olinorder(_u5593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), c_Complete__Lattice_OInf__class_OInf(_u5593, _u5594)), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), skolem111(_u5595, _u5594, _u5593)), _u5595)) )).
% 12.17/12.38 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5593) | ~class_Orderings_Olinorder(_u5593) | ~hBOOL(hAPP(hAPP(c_member(_u5593), _u5592), _u5594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), _u5592), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), c_Complete__Lattice_OInf__class_OInf(_u5593, _u5594)), _u5595)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u5596, _u5597, _u5598), _u5599), hAPP(c_Nat_OSuc, _u5600)) = hAPP(hAPP(_u5598, _u5599), hAPP(hAPP(c_Power_Opower_Opower(_u5596, _u5597, _u5598), _u5599), _u5600))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u5601) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5602) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5602), _u5603), hAPP(c_Nat_OSuc, _u5604)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5602), _u5603), hAPP(hAPP(c_Power_Opower__class_Opower(_u5602), _u5603), _u5604))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5605), _u5606), hAPP(hAPP(c_Power_Opower__class_Opower(_u5605), _u5606), _u5607)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5605), _u5606), hAPP(c_Nat_OSuc, _u5607))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5608) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), hAPP(hAPP(c_Power_Opower__class_Opower(_u5608), _u5609), _u5610)), _u5609) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5608), _u5609), hAPP(c_Nat_OSuc, _u5610))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u5611) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5611), _u5612), hAPP(c_Nat_OSuc, _u5613)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5611), hAPP(hAPP(c_Power_Opower__class_Opower(_u5611), _u5612), _u5613)), _u5612)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u5614) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5614), _u5615), hAPP(c_Nat_OSuc, _u5616)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5614), _u5615), hAPP(hAPP(c_Power_Opower__class_Opower(_u5614), _u5615), _u5616))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5617), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5617), _u5618)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5619), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5620), _u5619)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5625), _u5627)) | ( _u5627 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5625), skolem112(_u5627, _u5625)))) )).
% 12.17/12.38 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u5628 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5626), _u5622))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5626), _u5628)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5633, _u5631), _u5634), _u5635))) | ~hBOOL(hAPP(hAPP(c_member(_u5633), _u5629), _u5634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(_u5635, _u5629))) )).
% 12.17/12.38 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5631) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5633, _u5631), _u5634), _u5635))) | hBOOL(hAPP(hAPP(c_member(_u5633), skolem113(_u5635, _u5634, _u5633, _u5632, _u5631)), _u5634)) )).
% 12.17/12.38 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5631) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5633, _u5631), _u5634), _u5635))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(_u5635, skolem113(_u5635, _u5634, _u5633, _u5632, _u5631)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5636)), _u5637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5636), _u5637)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5638), _u5639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5639), hAPP(c_Nat_OSuc, _u5638))) | ( _u5639 = _u5638) )).
% 12.17/12.38 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5638), _u5639)) | ( _u5639 != _u5638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5639), hAPP(c_Nat_OSuc, _u5638))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5640), _u5641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5640)), _u5641)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5642), _u5643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5642), hAPP(c_Nat_OSuc, _u5643))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5646)), _u5648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5646), _u5648)) )).
% 12.17/12.38 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5647), _u5649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5647)), _u5649)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5652), hAPP(c_Nat_OSuc, _u5654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5652), _u5654)) )).
% 12.17/12.38 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5653), _u5655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5653), hAPP(c_Nat_OSuc, _u5655))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5658), _u5660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5658)), _u5660)) )).
% 12.17/12.38 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5659)), _u5661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5659), _u5661)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5664) | ~class_Orderings_Olinorder(_u5664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5665, _u5664), _u5666), _u5667)), _u5668)) | hBOOL(hAPP(hAPP(c_member(_u5665), skolem114(_u5668, _u5667, _u5666, _u5665, _u5664)), _u5666)) )).
% 12.17/12.38 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5664) | ~class_Orderings_Olinorder(_u5664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5665, _u5664), _u5666), _u5667)), _u5668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(_u5667, skolem114(_u5668, _u5667, _u5666, _u5665, _u5664))), _u5668)) )).
% 12.17/12.38 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5664) | ~class_Orderings_Olinorder(_u5664) | ~hBOOL(hAPP(hAPP(c_member(_u5665), _u5663), _u5666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(_u5667, _u5663)), _u5668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5665, _u5664), _u5666), _u5667)), _u5668)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5669), _u5670), _u5671)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5669, tc_fun(_u5672, tc_HOL_Obool)), _u5671), hAPP(hAPP(c_COMBB(tc_fun(_u5672, tc_HOL_Obool), tc_fun(_u5672, tc_HOL_Obool), _u5669), hAPP(c_Set_Oinsert(_u5672), _u5673)), _u5674)) = hAPP(hAPP(c_Set_Oinsert(_u5672), _u5673), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5669, tc_fun(_u5672, tc_HOL_Obool)), _u5671), _u5674))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 12.17/12.38 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), _u5675), _u5676)), hAPP(c_Nat_OSuc, _u5675))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5682), _u5684)) | ~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, _u5680)), _u5682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5680)), _u5684))) )).
% 12.17/12.38 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5683), _u5685)) | 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, _u5681)), _u5683)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5681)), _u5685))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5686), _u5687), _u5688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5689, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5686, tc_fun(_u5689, tc_HOL_Obool)), _u5688), _u5690)), hAPP(_u5690, _u5687))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5695, tc_fun(_u5697, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5695, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5697, tc_HOL_Obool), tc_fun(_u5697, tc_HOL_Obool), _u5695), hAPP(c_COMBC(_u5697, tc_fun(_u5697, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5697))), _u5699)), _u5701)) | hBOOL(hAPP(hAPP(c_member(_u5697), _u5701), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5695, tc_fun(_u5697, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5695, tc_HOL_Obool))), _u5699))) )).
% 12.17/12.38 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5698), _u5702), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5696, tc_fun(_u5698, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5696, tc_HOL_Obool))), _u5700))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5696, tc_fun(_u5698, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5696, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5698, tc_HOL_Obool), tc_fun(_u5698, tc_HOL_Obool), _u5696), hAPP(c_COMBC(_u5698, tc_fun(_u5698, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5698))), _u5700)), _u5702)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5703)), _u5704) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5704), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5703), _u5704))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5705), hAPP(c_Nat_OSuc, _u5706)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5705), _u5706))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5707), _u5708), _u5709)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5710, tc_HOL_Obool)), hAPP(_u5711, _u5708)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5707, tc_fun(_u5710, tc_HOL_Obool)), _u5709), _u5711)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5707, tc_fun(_u5710, tc_HOL_Obool)), _u5709), _u5711)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5712) | ( _u5713 = c_Orderings_Obot__class_Obot(tc_fun(_u5714, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5714, _u5712), _u5713), hAPP(c_COMBK(_u5712, _u5714), _u5715)) = _u5715) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5716), _u5717)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5717)), _u5716) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5717), _u5716))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5723), _u5725)) | ~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, _u5721)), _u5723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5721)), _u5725))) )).
% 12.17/12.38 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5724), _u5726)) | 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, _u5722)), _u5724)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5722)), _u5726))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__constant-1, axiom, ( ( _u5731 != c_Orderings_Obot__class_Obot(tc_fun(_u5733, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5733, tc_fun(_u5735, tc_HOL_Obool)), _u5731), hAPP(c_COMBK(tc_fun(_u5735, tc_HOL_Obool), _u5733), _u5737)) = c_Orderings_Otop__class_Otop(tc_fun(_u5735, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_INT__constant-2, axiom, ( ( _u5732 = c_Orderings_Obot__class_Obot(tc_fun(_u5734, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5734, tc_fun(_u5736, tc_HOL_Obool)), _u5732), hAPP(c_COMBK(tc_fun(_u5736, tc_HOL_Obool), _u5734), _u5738)) = _u5738) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5739, tc_fun(_u5740, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u5739, tc_HOL_Obool))), _u5741) = c_Orderings_Otop__class_Otop(tc_fun(_u5740, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u5747 != c_Orderings_Obot__class_Obot(tc_fun(_u5749, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5751, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5749, tc_fun(_u5751, tc_HOL_Obool)), _u5747), _u5753)), _u5755) = _u5755) )).
% 12.17/12.38 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u5748 = c_Orderings_Obot__class_Obot(tc_fun(_u5750, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5752, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5750, tc_fun(_u5752, tc_HOL_Obool)), _u5748), _u5754)), _u5756) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5750, tc_fun(_u5752, tc_HOL_Obool)), _u5748), hAPP(hAPP(c_COMBC(_u5750, tc_fun(_u5752, tc_HOL_Obool), tc_fun(_u5752, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5752, tc_HOL_Obool), tc_fun(tc_fun(_u5752, tc_HOL_Obool), tc_fun(_u5752, tc_HOL_Obool)), _u5750), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5752, tc_HOL_Obool))), _u5754)), _u5756))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u5762 != c_Orderings_Obot__class_Obot(tc_fun(_u5764, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5766, tc_HOL_Obool)), _u5768), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5764, tc_fun(_u5766, tc_HOL_Obool)), _u5762), _u5770)) = _u5768) )).
% 12.17/12.38 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u5763 = c_Orderings_Obot__class_Obot(tc_fun(_u5765, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5767, tc_HOL_Obool)), _u5769), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5765, tc_fun(_u5767, tc_HOL_Obool)), _u5763), _u5771)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5765, tc_fun(_u5767, tc_HOL_Obool)), _u5763), hAPP(hAPP(c_COMBB(tc_fun(_u5767, tc_HOL_Obool), tc_fun(_u5767, tc_HOL_Obool), _u5765), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5767, tc_HOL_Obool)), _u5769)), _u5771))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5772, tc_fun(_u5773, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u5772), _u5774), _u5775)), _u5776) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5773, tc_HOL_Obool)), hAPP(_u5776, _u5774)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5772, tc_fun(_u5773, tc_HOL_Obool)), _u5775), _u5776))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5777, tc_fun(_u5778, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5777, tc_HOL_Obool)), _u5779), _u5780)), _u5781) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5778, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5777, tc_fun(_u5778, tc_HOL_Obool)), _u5779), _u5781)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5777, tc_fun(_u5778, tc_HOL_Obool)), _u5780), _u5781))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5782)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5782) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5783, tc_fun(_u5784, tc_HOL_Obool)), _u5785), hAPP(hAPP(c_COMBB(tc_fun(_u5784, tc_HOL_Obool), tc_fun(_u5784, tc_HOL_Obool), _u5783), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5784, tc_HOL_Obool)), _u5786)), _u5787)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5784, tc_HOL_Obool)), _u5786), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5783, tc_fun(_u5784, tc_HOL_Obool)), _u5785), _u5787))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5788, tc_HOL_Obool)), _u5789), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5790, tc_fun(_u5788, tc_HOL_Obool)), _u5791), _u5792)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5790, tc_fun(_u5788, tc_HOL_Obool)), _u5791), hAPP(hAPP(c_COMBB(tc_fun(_u5788, tc_HOL_Obool), tc_fun(_u5788, tc_HOL_Obool), _u5790), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5788, tc_HOL_Obool)), _u5789)), _u5792))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5793, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5793, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5793, tc_HOL_Obool), _u5794)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5793, tc_HOL_Obool), _u5795))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5793, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u5793, tc_HOL_Obool), tc_HOL_Obool)), _u5794), _u5795)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5796, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5797, tc_fun(_u5796, tc_HOL_Obool)), _u5798), _u5799)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5797, tc_fun(_u5796, tc_HOL_Obool)), _u5798), hAPP(hAPP(c_COMBB(tc_fun(_u5796, tc_HOL_Obool), tc_fun(_u5796, tc_HOL_Obool), _u5797), c_Groups_Ouminus__class_Ouminus(tc_fun(_u5796, tc_HOL_Obool))), _u5799))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5800, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5801, tc_fun(_u5800, tc_HOL_Obool)), _u5802), _u5803)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5801, tc_fun(_u5800, tc_HOL_Obool)), _u5802), hAPP(hAPP(c_COMBB(tc_fun(_u5800, tc_HOL_Obool), tc_fun(_u5800, tc_HOL_Obool), _u5801), c_Groups_Ouminus__class_Ouminus(tc_fun(_u5800, tc_HOL_Obool))), _u5803))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u5804) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5804, hAPP(hAPP(c_Set_Oinsert(_u5804), _u5805), c_Orderings_Obot__class_Obot(tc_fun(_u5804, tc_HOL_Obool)))) = _u5805) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5806) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5806))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5807) | ~hBOOL(hAPP(hAPP(c_member(_u5807), _u5808), _u5809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5807), c_Complete__Lattice_OInf__class_OInf(_u5807, _u5809)), _u5808)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5811, tc_HOL_Obool)), _u5812), _u5813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5810), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5811, _u5810), _u5813), _u5814)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5811, _u5810), _u5812), _u5814))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5815) | ( c_Complete__Lattice_OInf__class_OInf(_u5815, hAPP(hAPP(c_Set_Oinsert(_u5815), _u5816), c_Orderings_Obot__class_Obot(tc_fun(_u5815, tc_HOL_Obool)))) = _u5816) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5817) | ( c_Complete__Lattice_OInf__class_OInf(_u5817, c_Orderings_Obot__class_Obot(tc_fun(_u5817, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u5817)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5818) | ( c_Complete__Lattice_OInf__class_OInf(_u5818, c_Orderings_Otop__class_Otop(tc_fun(_u5818, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u5818)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5819) | ( c_Complete__Lattice_OInf__class_OInf(_u5819, hAPP(hAPP(c_Set_Oinsert(_u5819), _u5820), _u5821)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5819), _u5820), c_Complete__Lattice_OInf__class_OInf(_u5819, _u5821))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u5827 != c_Orderings_Obot__class_Obot(tc_fun(_u5829, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5829, tc_fun(_u5831, tc_HOL_Obool)), _u5827), hAPP(hAPP(c_COMBC(_u5829, tc_fun(_u5831, tc_HOL_Obool), tc_fun(_u5831, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5831, tc_HOL_Obool), tc_fun(tc_fun(_u5831, tc_HOL_Obool), tc_fun(_u5831, tc_HOL_Obool)), _u5829), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5831, tc_HOL_Obool))), _u5833)), _u5835)) = c_Orderings_Otop__class_Otop(tc_fun(_u5831, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u5828 = c_Orderings_Obot__class_Obot(tc_fun(_u5830, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5830, tc_fun(_u5832, tc_HOL_Obool)), _u5828), hAPP(hAPP(c_COMBC(_u5830, tc_fun(_u5832, tc_HOL_Obool), tc_fun(_u5832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5832, tc_HOL_Obool), tc_fun(tc_fun(_u5832, tc_HOL_Obool), tc_fun(_u5832, tc_HOL_Obool)), _u5830), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5832, tc_HOL_Obool))), _u5834)), _u5836)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5832, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5830, tc_fun(_u5832, tc_HOL_Obool)), _u5828), _u5834)), _u5836)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u5842 != c_Orderings_Obot__class_Obot(tc_fun(_u5844, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5844, tc_fun(_u5846, tc_HOL_Obool)), _u5842), hAPP(hAPP(c_COMBB(tc_fun(_u5846, tc_HOL_Obool), tc_fun(_u5846, tc_HOL_Obool), _u5844), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5846, tc_HOL_Obool)), _u5848)), _u5850)) = c_Orderings_Otop__class_Otop(tc_fun(_u5846, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u5843 = c_Orderings_Obot__class_Obot(tc_fun(_u5845, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5845, tc_fun(_u5847, tc_HOL_Obool)), _u5843), hAPP(hAPP(c_COMBB(tc_fun(_u5847, tc_HOL_Obool), tc_fun(_u5847, tc_HOL_Obool), _u5845), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5847, tc_HOL_Obool)), _u5849)), _u5851)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5847, tc_HOL_Obool)), _u5849), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5845, tc_fun(_u5847, tc_HOL_Obool)), _u5843), _u5851))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5852), c_Groups_Oone__class_Oone(_u5852)), _u5853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5852), c_Groups_Oone__class_Oone(_u5852)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5852), _u5853), hAPP(c_Nat_OSuc, _u5854)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u5860 != c_Orderings_Obot__class_Obot(tc_fun(_u5862, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5864, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5862, tc_fun(_u5864, tc_HOL_Obool)), _u5860), _u5866)), _u5868) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5864, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5864, tc_HOL_Obool))), _u5868)) )).
% 12.17/12.38 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u5861 = c_Orderings_Obot__class_Obot(tc_fun(_u5863, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5865, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5863, tc_fun(_u5865, tc_HOL_Obool)), _u5861), _u5867)), _u5869) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5863, tc_fun(_u5865, tc_HOL_Obool)), _u5861), hAPP(hAPP(c_COMBC(_u5863, tc_fun(_u5865, tc_HOL_Obool), tc_fun(_u5865, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5865, tc_HOL_Obool), tc_fun(tc_fun(_u5865, tc_HOL_Obool), tc_fun(_u5865, tc_HOL_Obool)), _u5863), c_Groups_Ominus__class_Ominus(tc_fun(_u5865, tc_HOL_Obool))), _u5867)), _u5869))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u5875 != c_Orderings_Obot__class_Obot(tc_fun(_u5877, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5877, tc_fun(_u5879, tc_HOL_Obool)), _u5875), hAPP(hAPP(c_COMBC(_u5877, tc_fun(_u5879, tc_HOL_Obool), tc_fun(_u5879, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5879, tc_HOL_Obool), tc_fun(tc_fun(_u5879, tc_HOL_Obool), tc_fun(_u5879, tc_HOL_Obool)), _u5877), c_Groups_Ominus__class_Ominus(tc_fun(_u5879, tc_HOL_Obool))), _u5881)), _u5883)) = c_Orderings_Otop__class_Otop(tc_fun(_u5879, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u5876 = c_Orderings_Obot__class_Obot(tc_fun(_u5878, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5878, tc_fun(_u5880, tc_HOL_Obool)), _u5876), hAPP(hAPP(c_COMBC(_u5878, tc_fun(_u5880, tc_HOL_Obool), tc_fun(_u5880, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5880, tc_HOL_Obool), tc_fun(tc_fun(_u5880, tc_HOL_Obool), tc_fun(_u5880, tc_HOL_Obool)), _u5878), c_Groups_Ominus__class_Ominus(tc_fun(_u5880, tc_HOL_Obool))), _u5882)), _u5884)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5880, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5878, tc_fun(_u5880, tc_HOL_Obool)), _u5876), _u5882)), _u5884)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u5890 != c_Orderings_Obot__class_Obot(tc_fun(_u5892, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5894, tc_HOL_Obool)), _u5896), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5892, tc_fun(_u5894, tc_HOL_Obool)), _u5890), _u5898)) = _u5896) )).
% 12.17/12.38 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u5891 = c_Orderings_Obot__class_Obot(tc_fun(_u5893, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5895, tc_HOL_Obool)), _u5897), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5893, tc_fun(_u5895, tc_HOL_Obool)), _u5891), _u5899)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5893, tc_fun(_u5895, tc_HOL_Obool)), _u5891), hAPP(hAPP(c_COMBB(tc_fun(_u5895, tc_HOL_Obool), tc_fun(_u5895, tc_HOL_Obool), _u5893), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5895, tc_HOL_Obool)), _u5897)), _u5899))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5900), _u5901)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5902), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5901), _u5900))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5902), _u5900)), hAPP(c_Nat_OSuc, _u5901))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5903), _u5904)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5904), _u5903))), _u5905) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5904)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5903), _u5905))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5906) | ~hBOOL(hAPP(hAPP(c_member(_u5907), _u5908), _u5909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5906), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5907, _u5906), _u5909), _u5910)), hAPP(_u5910, _u5908))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u5911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5911), _u5912)) | ~hBOOL(hAPP(hAPP(c_member(_u5911), _u5913), _u5912)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5911), _u5913), c_Big__Operators_Olattice__class_OInf__fin(_u5911, _u5912)) = _u5913) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u5914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5914), _u5915)) | ~hBOOL(hAPP(hAPP(c_member(_u5914), _u5916), _u5915)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5914), _u5916), c_Big__Operators_Olattice__class_OInf__fin(_u5914, _u5915)) = c_Big__Operators_Olattice__class_OInf__fin(_u5914, _u5915)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u5917) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5917), _u5918)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5917, _u5918) = hAPP(c_Finite__Set_Ofold1(_u5917, c_Lattices_Osemilattice__inf__class_Oinf(_u5917)), _u5918)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u5924 != c_Orderings_Obot__class_Obot(tc_fun(_u5926, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5926, tc_fun(_u5928, tc_HOL_Obool)), _u5924), hAPP(hAPP(c_COMBB(tc_fun(_u5928, tc_HOL_Obool), tc_fun(_u5928, tc_HOL_Obool), _u5926), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5928, tc_HOL_Obool)), _u5930)), _u5932)) = c_Orderings_Otop__class_Otop(tc_fun(_u5928, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u5925 = c_Orderings_Obot__class_Obot(tc_fun(_u5927, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5927, tc_fun(_u5929, tc_HOL_Obool)), _u5925), hAPP(hAPP(c_COMBB(tc_fun(_u5929, tc_HOL_Obool), tc_fun(_u5929, tc_HOL_Obool), _u5927), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5929, tc_HOL_Obool)), _u5931)), _u5933)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5929, tc_HOL_Obool)), _u5931), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5927, tc_fun(_u5929, tc_HOL_Obool)), _u5925), _u5933))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5934), _u5935)) | ~hBOOL(hAPP(hAPP(c_member(_u5934), _u5936), _u5935)) | ( hAPP(c_Finite__Set_Ocard(_u5934), hAPP(hAPP(c_Set_Oinsert(_u5934), _u5936), _u5935)) = hAPP(c_Finite__Set_Ocard(_u5934), _u5935)) )).
% 12.17/12.38 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5934), _u5935)) | hBOOL(hAPP(hAPP(c_member(_u5934), _u5936), _u5935)) | ( hAPP(c_Finite__Set_Ocard(_u5934), hAPP(hAPP(c_Set_Oinsert(_u5934), _u5936), _u5935)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5934), _u5935))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5937), _u5938)) | hBOOL(hAPP(hAPP(c_member(_u5937), _u5939), _u5938)) | ( hAPP(c_Finite__Set_Ocard(_u5937), hAPP(hAPP(c_Set_Oinsert(_u5937), _u5939), _u5938)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5937), _u5938))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5940) | ( c_Complete__Lattice_OInf__class_OInf(_u5940, hAPP(hAPP(c_Set_Oinsert(_u5940), _u5941), hAPP(hAPP(c_Set_Oinsert(_u5940), _u5942), c_Orderings_Obot__class_Obot(tc_fun(_u5940, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5940), _u5941), _u5942)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5943) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5943), _u5944)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5943), _u5945), c_Complete__Lattice_OInf__class_OInf(_u5943, _u5944)) = hAPP(hAPP(c_Finite__Set_Ofold(_u5943, _u5943, c_Lattices_Osemilattice__inf__class_Oinf(_u5943)), _u5945), _u5944)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u5946) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5946), _u5947)) | ( _u5947 = c_Orderings_Obot__class_Obot(tc_fun(_u5946, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5946, hAPP(hAPP(c_Set_Oinsert(_u5946), _u5948), _u5947)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5946), _u5948), c_Big__Operators_Olattice__class_OInf__fin(_u5946, _u5947))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u5949) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5949), _u5950)) | ( _u5951 = c_Orderings_Obot__class_Obot(tc_fun(_u5949, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5949, tc_HOL_Obool)), _u5951), _u5950)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5949), c_Big__Operators_Olattice__class_OInf__fin(_u5949, _u5951)), c_Big__Operators_Olattice__class_OInf__fin(_u5949, _u5950)) = c_Big__Operators_Olattice__class_OInf__fin(_u5949, _u5950)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u5952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5952), _u5953)) | ( _u5953 = c_Orderings_Obot__class_Obot(tc_fun(_u5952, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5952), _u5954)) | ( _u5954 = c_Orderings_Obot__class_Obot(tc_fun(_u5952, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5952, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5952, tc_HOL_Obool)), _u5953), _u5954)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5952), c_Big__Operators_Olattice__class_OInf__fin(_u5952, _u5953)), c_Big__Operators_Olattice__class_OInf__fin(_u5952, _u5954))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u5955) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5955), _u5956)) | ( _u5956 = c_Orderings_Obot__class_Obot(tc_fun(_u5955, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5955), c_Big__Operators_Olattice__class_OInf__fin(_u5955, _u5956)), c_Big__Operators_Olattice__class_OSup__fin(_u5955, _u5956))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u5957) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5957), _u5958)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5957, hAPP(hAPP(c_Set_Oinsert(_u5957), _u5959), _u5958)) = hAPP(hAPP(c_Finite__Set_Ofold(_u5957, _u5957, c_Lattices_Osemilattice__inf__class_Oinf(_u5957)), _u5959), _u5958)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5961), _u5962)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5960), _u5963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5961, _u5960), _u5962), _u5964)) = hAPP(hAPP(c_Finite__Set_Ofold(_u5961, _u5960, hAPP(hAPP(c_COMBB(_u5960, tc_fun(_u5960, _u5960), _u5961), c_Lattices_Osemilattice__inf__class_Oinf(_u5960)), _u5964)), _u5963), _u5962)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5965), _u5966)) | ( hAPP(c_Finite__Set_Ocard(_u5965), hAPP(hAPP(c_Set_Oinsert(_u5965), _u5967), _u5966)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5965), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5965, tc_HOL_Obool)), _u5966), hAPP(hAPP(c_Set_Oinsert(_u5965), _u5967), c_Orderings_Obot__class_Obot(tc_fun(_u5965, tc_HOL_Obool))))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u5968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5968), _u5969)) | hBOOL(hAPP(hAPP(c_member(_u5968), _u5970), _u5969)) | ( _u5969 = c_Orderings_Obot__class_Obot(tc_fun(_u5968, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5968, hAPP(hAPP(c_Set_Oinsert(_u5968), _u5970), _u5969)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5968), _u5970), c_Big__Operators_Olattice__class_OInf__fin(_u5968, _u5969))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u5971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5971), _u5972)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5971, tc_HOL_Obool)), _u5972), hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5971, hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), _u5972)) = _u5973) )).
% 12.17/12.38 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u5971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5971), _u5972)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5971, tc_HOL_Obool)), _u5972), hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5971, hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), _u5972)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5971), _u5973), c_Big__Operators_Olattice__class_OInf__fin(_u5971, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5971, tc_HOL_Obool)), _u5972), hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool))))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u5974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5974), _u5975)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5974), _u5976)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976) = c_Orderings_Obot__class_Obot(tc_fun(_u5974, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5974), c_Big__Operators_Olattice__class_OInf__fin(_u5974, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976))), c_Big__Operators_Olattice__class_OInf__fin(_u5974, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5974), c_Big__Operators_Olattice__class_OInf__fin(_u5974, _u5975)), c_Big__Operators_Olattice__class_OInf__fin(_u5974, _u5976))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u5977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5977), _u5978)) | ( _u5978 = c_Orderings_Obot__class_Obot(tc_fun(_u5977, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5977), _u5979)) | ( _u5979 = c_Orderings_Obot__class_Obot(tc_fun(_u5977, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5977, tc_HOL_Obool)), _u5978), _u5979) != c_Orderings_Obot__class_Obot(tc_fun(_u5977, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5977, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5977, tc_HOL_Obool)), _u5978), _u5979)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5977), c_Big__Operators_Olattice__class_OInf__fin(_u5977, _u5978)), c_Big__Operators_Olattice__class_OInf__fin(_u5977, _u5979))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u5980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5980), _u5981)) | hBOOL(hAPP(hAPP(c_member(_u5980), _u5982), _u5981)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5980, hAPP(hAPP(c_Set_Oinsert(_u5980), _u5982), _u5981)) = hAPP(hAPP(c_Finite__Set_Ofold(_u5980, _u5980, c_Lattices_Osemilattice__inf__class_Oinf(_u5980)), _u5982), _u5981)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5983), hAPP(c_Nat_OSuc, _u5984)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5983), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u5984)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5985) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5985)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5986) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5986), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u5989) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5989), _u5990)) | ( _u5990 = c_Orderings_Obot__class_Obot(tc_fun(_u5989, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5989), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5989), skolem115(_u5990, _u5989)), skolem116(_u5990, _u5989))), hAPP(hAPP(c_Set_Oinsert(_u5989), skolem115(_u5990, _u5989)), hAPP(hAPP(c_Set_Oinsert(_u5989), skolem116(_u5990, _u5989)), c_Orderings_Obot__class_Obot(tc_fun(_u5989, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u5989), c_Big__Operators_Olattice__class_OInf__fin(_u5989, _u5990)), _u5990)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5991, _u5992)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5991, _u5992), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u5992), c_Orderings_Otop__class_Otop(tc_fun(_u5992, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5991), c_Orderings_Otop__class_Otop(tc_fun(_u5991, tc_HOL_Obool)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u5995) | ( hAPP(_u5996, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5995), skolem117(_u5997, _u5996, _u5995)), skolem118(_u5997, _u5996, _u5995))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5995), hAPP(_u5996, skolem117(_u5997, _u5996, _u5995))), hAPP(_u5996, skolem118(_u5997, _u5996, _u5995)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5995), _u5997)) | ( _u5997 = c_Orderings_Obot__class_Obot(tc_fun(_u5995, tc_HOL_Obool))) | ( hAPP(_u5996, c_Big__Operators_Olattice__class_OInf__fin(_u5995, _u5997)) = c_Big__Operators_Olattice__class_OInf__fin(_u5995, hAPP(c_Set_Oimage(_u5995, _u5995, _u5996), _u5997))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5998), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le0 ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u5999)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 12.17/12.38 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, _u6000))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u6001, tc_HOL_Obool), _u6002) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u6001, tc_HOL_Obool), tc_fun(_u6001, tc_HOL_Obool)), _u6002), c_COMBI(tc_fun(_u6001, tc_HOL_Obool)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6003, tc_fun(_u6004, tc_HOL_Obool)), _u6005), _u6006) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u6004, tc_HOL_Obool), hAPP(c_Set_Oimage(_u6003, tc_fun(_u6004, tc_HOL_Obool), _u6006), _u6005))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u6007, tc_HOL_Obool), hAPP(c_Set_Oimage(_u6008, tc_fun(_u6007, tc_HOL_Obool), _u6009), _u6010)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6008, tc_fun(_u6007, tc_HOL_Obool)), _u6010), _u6009)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6020, tc_fun(_u6022, tc_fun(_u6024, tc_HOL_Obool))), _u6026), _u6028), _u6030), _u6032)) | ~hBOOL(hAPP(hAPP(c_member(_u6020), _u6011), _u6026)) | hBOOL(hAPP(hAPP(hAPP(_u6028, _u6011), _u6030), _u6032)) )).
% 12.17/12.38 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6021, tc_fun(_u6023, tc_fun(_u6025, tc_HOL_Obool))), _u6027), _u6029), _u6031), _u6033)) | hBOOL(hAPP(hAPP(c_member(_u6021), skolem119(_u6033, _u6031, _u6029, _u6027, _u6025, _u6023, _u6021)), _u6027)) )).
% 12.17/12.38 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6021, tc_fun(_u6023, tc_fun(_u6025, tc_HOL_Obool))), _u6027), _u6029), _u6031), _u6033)) | ~hBOOL(hAPP(hAPP(hAPP(_u6029, skolem119(_u6033, _u6031, _u6029, _u6027, _u6025, _u6023, _u6021)), _u6031), _u6033)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6041, tc_fun(_u6043, tc_HOL_Obool)), _u6045), _u6047), _u6049)) | ~hBOOL(hAPP(hAPP(c_member(_u6041), _u6034), _u6045)) | hBOOL(hAPP(hAPP(_u6047, _u6034), _u6049)) )).
% 12.17/12.38 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6042, tc_fun(_u6044, tc_HOL_Obool)), _u6046), _u6048), _u6050)) | hBOOL(hAPP(hAPP(c_member(_u6042), skolem120(_u6050, _u6048, _u6046, _u6044, _u6042)), _u6046)) )).
% 12.17/12.38 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6042, tc_fun(_u6044, tc_HOL_Obool)), _u6046), _u6048), _u6050)) | ~hBOOL(hAPP(hAPP(_u6048, skolem120(_u6050, _u6048, _u6046, _u6044, _u6042)), _u6050)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u6051) | ( c_Groups_Ozero__class_Ozero(_u6051) != _u6052) | ( _u6052 = c_Groups_Ozero__class_Ozero(_u6051)) )).
% 12.17/12.38 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u6051) | ( _u6052 != c_Groups_Ozero__class_Ozero(_u6051)) | ( c_Groups_Ozero__class_Ozero(_u6051) = _u6052) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u6053) | ~class_Rings_Omult__zero(_u6053) | ~class_Rings_Ono__zero__divisors(_u6053) | ~class_Rings_Ozero__neq__one(_u6053) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6053), _u6054), _u6055) != c_Groups_Ozero__class_Ozero(_u6053)) | ( _u6054 = c_Groups_Ozero__class_Ozero(_u6053)) )).
% 12.17/12.38 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u6053) | ~class_Rings_Omult__zero(_u6053) | ~class_Rings_Ono__zero__divisors(_u6053) | ~class_Rings_Ozero__neq__one(_u6053) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6053), _u6054), _u6055) != c_Groups_Ozero__class_Ozero(_u6053)) | ( _u6055 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u6053) | ~class_Rings_Omult__zero(_u6053) | ~class_Rings_Ono__zero__divisors(_u6053) | ~class_Rings_Ozero__neq__one(_u6053) | ( _u6054 != c_Groups_Ozero__class_Ozero(_u6053)) | ( _u6055 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6053), _u6054), _u6055) = c_Groups_Ozero__class_Ozero(_u6053)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u6056) | ~class_Rings_Osemiring__0(_u6056) | ( _u6057 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6056), c_Groups_Ozero__class_Ozero(_u6056)), _u6057) = c_Groups_Oone__class_Oone(_u6056)) )).
% 12.17/12.38 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u6056) | ~class_Rings_Osemiring__0(_u6056) | ( _u6057 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6056), c_Groups_Ozero__class_Ozero(_u6056)), _u6057) = c_Groups_Ozero__class_Ozero(_u6056)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u6058) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6058), c_Groups_Ozero__class_Ozero(_u6058)), _u6059) = _u6059) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6060) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6060), c_Groups_Ozero__class_Ozero(_u6060)), _u6061) = _u6061) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6062) | ( c_Groups_Ozero__class_Ozero(_u6062) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6062), _u6063), _u6063)) | ( _u6063 = c_Groups_Ozero__class_Ozero(_u6062)) )).
% 12.17/12.38 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6062) | ( _u6063 != c_Groups_Ozero__class_Ozero(_u6062)) | ( c_Groups_Ozero__class_Ozero(_u6062) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6062), _u6063), _u6063)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u6064) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6064), _u6065), c_Groups_Ozero__class_Ozero(_u6064)) = _u6065) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6066) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6066), _u6067), c_Groups_Ozero__class_Ozero(_u6066)) = _u6067) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6068) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6068), c_Groups_Ozero__class_Ozero(_u6068)), _u6069) = _u6069) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6070) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6070), _u6071), c_Groups_Ozero__class_Ozero(_u6070)) = _u6071) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6072) | ( _u6073 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6072), _u6073), _u6074)) | ( _u6074 = c_Groups_Ozero__class_Ozero(_u6072)) )).
% 12.17/12.38 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6072) | ( _u6074 != c_Groups_Ozero__class_Ozero(_u6072)) | ( _u6073 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6072), _u6073), _u6074)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u6075) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6075), c_Groups_Ozero__class_Ozero(_u6075)), _u6076) = c_Groups_Ozero__class_Ozero(_u6075)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6077) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6077), c_Groups_Ozero__class_Ozero(_u6077)), _u6078) = c_Groups_Ozero__class_Ozero(_u6077)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u6079) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6079), _u6080), c_Groups_Ozero__class_Ozero(_u6079)) = c_Groups_Ozero__class_Ozero(_u6079)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6081) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6081), _u6082), c_Groups_Ozero__class_Ozero(_u6081)) = c_Groups_Ozero__class_Ozero(_u6081)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u6083) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6083), _u6084), _u6085) != c_Groups_Ozero__class_Ozero(_u6083)) | ( _u6084 = c_Groups_Ozero__class_Ozero(_u6083)) | ( _u6085 = c_Groups_Ozero__class_Ozero(_u6083)) )).
% 12.17/12.38 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u6083) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6083), _u6084), _u6085) = c_Groups_Ozero__class_Ozero(_u6083)) | ( _u6084 != c_Groups_Ozero__class_Ozero(_u6083)) )).
% 12.17/12.38 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u6083) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6083), _u6084), _u6085) = c_Groups_Ozero__class_Ozero(_u6083)) | ( _u6085 != c_Groups_Ozero__class_Ozero(_u6083)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u6086) | ( _u6087 = c_Groups_Ozero__class_Ozero(_u6086)) | ( _u6088 = c_Groups_Ozero__class_Ozero(_u6086)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6086), _u6087), _u6088) != c_Groups_Ozero__class_Ozero(_u6086)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u6089) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6089), _u6090), _u6091) != c_Groups_Ozero__class_Ozero(_u6089)) | ( _u6090 = c_Groups_Ozero__class_Ozero(_u6089)) | ( _u6091 = c_Groups_Ozero__class_Ozero(_u6089)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u6092) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6092), _u6093), c_Groups_Ozero__class_Ozero(_u6092)) = _u6093) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u6094) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6094), _u6095), _u6095) = c_Groups_Ozero__class_Ozero(_u6094)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u6096) | ( _u6097 != _u6098) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6096), _u6097), _u6098) = c_Groups_Ozero__class_Ozero(_u6096)) )).
% 12.17/12.38 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u6096) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6096), _u6097), _u6098) != c_Groups_Ozero__class_Ozero(_u6096)) | ( _u6097 = _u6098) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u6099) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6099), _u6100), _u6101) != c_Groups_Ozero__class_Ozero(_u6099)) | ( _u6100 = _u6101) )).
% 12.17/12.38 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u6099) | ( _u6100 != _u6101) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6099), _u6100), _u6101) = c_Groups_Ozero__class_Ozero(_u6099)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u6102) | ( c_Groups_Ozero__class_Ozero(_u6102) != c_Groups_Oone__class_Oone(_u6102)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u6103) | ( c_Groups_Oone__class_Oone(_u6103) != c_Groups_Ozero__class_Ozero(_u6103)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6104) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6104), _u6105) != _u6105) | ( _u6105 = c_Groups_Ozero__class_Ozero(_u6104)) )).
% 12.17/12.38 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6104) | ( _u6105 != c_Groups_Ozero__class_Ozero(_u6104)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6104), _u6105) = _u6105) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u6106) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6106), _u6107) != c_Groups_Ozero__class_Ozero(_u6106)) | ( _u6107 = c_Groups_Ozero__class_Ozero(_u6106)) )).
% 12.17/12.38 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u6106) | ( _u6107 != c_Groups_Ozero__class_Ozero(_u6106)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6106), _u6107) = c_Groups_Ozero__class_Ozero(_u6106)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6108) | ( _u6109 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6108), _u6109)) | ( _u6109 = c_Groups_Ozero__class_Ozero(_u6108)) )).
% 12.17/12.38 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6108) | ( _u6109 != c_Groups_Ozero__class_Ozero(_u6108)) | ( _u6109 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6108), _u6109)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u6110) | ( c_Groups_Ozero__class_Ozero(_u6110) != hAPP(c_Groups_Ouminus__class_Ouminus(_u6110), _u6111)) | ( c_Groups_Ozero__class_Ozero(_u6110) = _u6111) )).
% 12.17/12.38 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u6110) | ( c_Groups_Ozero__class_Ozero(_u6110) != _u6111) | ( c_Groups_Ozero__class_Ozero(_u6110) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6110), _u6111)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u6112) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6112), c_Groups_Ozero__class_Ozero(_u6112)) = c_Groups_Ozero__class_Ozero(_u6112)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6113) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6114)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6115) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6116) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6117)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6118)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 12.17/12.38 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))), _u6119) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6122), _u6124) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6124 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6122 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6123), _u6125) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6125 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6123), _u6125) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6123 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6126) | ( _u6127 = c_Groups_Ozero__class_Ozero(_u6126)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6126), _u6127), _u6128) != c_Groups_Ozero__class_Ozero(_u6126)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6131), _u6133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6131)) | ( _u6133 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 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), _u6132), _u6134))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6132)) )).
% 12.17/12.38 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), _u6132), _u6134))) | ( _u6134 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6135), _u6136)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6135), _u6137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6136), _u6137)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6138), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_neq0__conv-1, axiom, ( ( _u6140 = 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)), _u6140)) )).
% 12.17/12.38 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)), _u6141)) | ( _u6141 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6142), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_gr__implies__not0-1, axiom, ( ( _u6144 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6143), _u6144)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_gr0I-1, axiom, ( ( _u6145 = 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)), _u6145)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u6147 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6146), _u6147) != _u6146) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6150), _u6152) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6150 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6150), _u6152) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6152 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_add__is__0-3, axiom, ( ( _u6151 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6153 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6151), _u6153) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6154), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6154) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6155) = _u6155) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6156)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6158), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6158 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_le__0__eq-2, axiom, ( ( _u6159 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6159), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6160) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6161), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6161) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6162), _u6162) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6163), _u6164) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6164), _u6163) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6163 = _u6164) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6168), _u6170) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6168), _u6172)) | ( _u6168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6170 = _u6172) )).
% 12.17/12.38 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6169), _u6171) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6169), _u6173)) | ( _u6169 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6169), _u6171) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6169), _u6173)) | ( _u6171 != _u6173) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6174) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6175), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6178), _u6180) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6180 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), _u6181) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6179 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), _u6181) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6181 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6185), _u6187) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6185), _u6189)) | ( _u6187 = _u6189) | ( _u6185 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6188) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6190)) | ( _u6188 != _u6190) )).
% 12.17/12.38 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6188) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6190)) | ( _u6186 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6194), _u6196) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6198), _u6196)) | ( _u6194 = _u6198) | ( _u6196 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6195), _u6197) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6199), _u6197)) | ( _u6195 != _u6199) )).
% 12.17/12.38 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6195), _u6197) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6199), _u6197)) | ( _u6197 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6200) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6201), _u6201)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6202), _u6202)) != c_Groups_Ozero__class_Ozero(_u6200)) | ( _u6201 = c_Groups_Ozero__class_Ozero(_u6200)) )).
% 12.17/12.38 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6200) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6201), _u6201)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6202), _u6202)) != c_Groups_Ozero__class_Ozero(_u6200)) | ( _u6202 = c_Groups_Ozero__class_Ozero(_u6200)) )).
% 12.17/12.38 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6200) | ( _u6201 != c_Groups_Ozero__class_Ozero(_u6200)) | ( _u6202 != c_Groups_Ozero__class_Ozero(_u6200)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6201), _u6201)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6202), _u6202)) = c_Groups_Ozero__class_Ozero(_u6200)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6203) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6204), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6205) = _u6205) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6206), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6206) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6207) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6207), _u6208), _u6209) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6207), _u6210), _u6209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6207), c_Groups_Ozero__class_Ozero(_u6207)), _u6208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6207), c_Groups_Ozero__class_Ozero(_u6207)), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6209)) | ( _u6208 = _u6210) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6211) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6212, _u6211), hAPP(c_COMBK(_u6211, _u6212), c_Groups_Ozero__class_Ozero(_u6211))), _u6213) = c_Groups_Ozero__class_Ozero(_u6211)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6214, _u6215, _u6216), _u6217), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6215) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6218), _u6219), _u6220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), c_Groups_Ozero__class_Ozero(_u6218)), _u6219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6218), hAPP(hAPP(c_Power_Opower__class_Opower(_u6218), _u6219), _u6221)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6218), _u6220), _u6221))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6223), _u6223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6224), _u6224))), c_Groups_Ozero__class_Ozero(_u6222))) | ( _u6223 = c_Groups_Ozero__class_Ozero(_u6222)) )).
% 12.17/12.38 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6223), _u6223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6224), _u6224))), c_Groups_Ozero__class_Ozero(_u6222))) | ( _u6224 = c_Groups_Ozero__class_Ozero(_u6222)) )).
% 12.17/12.38 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6222) | ( _u6223 != c_Groups_Ozero__class_Ozero(_u6222)) | ( _u6224 != c_Groups_Ozero__class_Ozero(_u6222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6223), _u6223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6224), _u6224))), c_Groups_Ozero__class_Ozero(_u6222))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u6225) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6225), c_Groups_Ozero__class_Ozero(_u6225)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6225), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6225), _u6226), _u6226)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6225), _u6227), _u6227)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), c_Groups_Ozero__class_Ozero(_u6228)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6229), _u6229)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6230), _u6230)))) | ( _u6229 != c_Groups_Ozero__class_Ozero(_u6228)) | ( _u6230 != c_Groups_Ozero__class_Ozero(_u6228)) )).
% 12.17/12.38 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6228) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), c_Groups_Ozero__class_Ozero(_u6228)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6229), _u6229)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6230), _u6230)))) | ( _u6229 = c_Groups_Ozero__class_Ozero(_u6228)) )).
% 12.17/12.38 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6228) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), c_Groups_Ozero__class_Ozero(_u6228)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6229), _u6229)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6230), _u6230)))) | ( _u6230 = c_Groups_Ozero__class_Ozero(_u6228)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u6231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6231), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6231), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6231), _u6232), _u6232)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6231), _u6233), _u6233))), c_Groups_Ozero__class_Ozero(_u6231))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), _u6235), c_Groups_Ozero__class_Ozero(_u6234))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), _u6236), c_Groups_Ozero__class_Ozero(_u6234))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6234), _u6235), _u6236)), c_Groups_Ozero__class_Ozero(_u6234))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), _u6239), _u6240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), _u6239), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6237), _u6240), _u6238))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6241), c_Groups_Ozero__class_Ozero(_u6241)), _u6242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6241), _u6243), _u6244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6241), _u6243), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6241), _u6242), _u6244))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6247)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6245), _u6246), _u6247) != c_Groups_Ozero__class_Ozero(_u6245)) | ( _u6246 = c_Groups_Ozero__class_Ozero(_u6245)) )).
% 12.17/12.38 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6247)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6245), _u6246), _u6247) != c_Groups_Ozero__class_Ozero(_u6245)) | ( _u6247 = c_Groups_Ozero__class_Ozero(_u6245)) )).
% 12.17/12.38 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6247)) | ( _u6246 != c_Groups_Ozero__class_Ozero(_u6245)) | ( _u6247 != c_Groups_Ozero__class_Ozero(_u6245)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6245), _u6246), _u6247) = c_Groups_Ozero__class_Ozero(_u6245)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), c_Groups_Ozero__class_Ozero(_u6248)), _u6249)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), c_Groups_Ozero__class_Ozero(_u6248)), _u6250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), c_Groups_Ozero__class_Ozero(_u6248)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6248), _u6249), _u6250))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6251), _u6252), _u6252)), c_Groups_Ozero__class_Ozero(_u6251))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), _u6252), c_Groups_Ozero__class_Ozero(_u6251))) )).
% 12.17/12.38 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), _u6252), c_Groups_Ozero__class_Ozero(_u6251))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6251), _u6252), _u6252)), c_Groups_Ozero__class_Ozero(_u6251))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6253), _u6254), _u6254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) )).
% 12.17/12.38 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6253), _u6254), _u6254))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u6255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6255), c_Groups_Ozero__class_Ozero(_u6255)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6255), _u6256), _u6256))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6258), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.17/12.38 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6259), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.17/12.38 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6258), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.17/12.38 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6259), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.17/12.38 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6257) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6259)) )).
% 12.17/12.38 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6257) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6258), c_Groups_Ozero__class_Ozero(_u6257))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6259), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6261), c_Groups_Ozero__class_Ozero(_u6260))) )).
% 12.17/12.38 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6262)) )).
% 12.17/12.38 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6262), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6261), c_Groups_Ozero__class_Ozero(_u6260))) )).
% 12.17/12.38 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6262), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6262)) )).
% 12.17/12.38 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6262), c_Groups_Ozero__class_Ozero(_u6260))) )).
% 12.17/12.38 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6261), c_Groups_Ozero__class_Ozero(_u6260))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6262)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6263), c_Groups_Ozero__class_Ozero(_u6263)), _u6264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6263), c_Groups_Ozero__class_Ozero(_u6263)), _u6265)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6263), c_Groups_Ozero__class_Ozero(_u6263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6263), _u6264), _u6265))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6266) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), c_Groups_Ozero__class_Ozero(_u6266)), _u6267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), _u6268), c_Groups_Ozero__class_Ozero(_u6266))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6266), _u6267), _u6268)), c_Groups_Ozero__class_Ozero(_u6266))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6269), c_Groups_Ozero__class_Ozero(_u6269)), _u6270)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6269), _u6271), c_Groups_Ozero__class_Ozero(_u6269))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6269), _u6271), _u6270)), c_Groups_Ozero__class_Ozero(_u6269))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6272), _u6273), c_Groups_Ozero__class_Ozero(_u6272))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6272), c_Groups_Ozero__class_Ozero(_u6272)), _u6274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6272), _u6273), _u6274)), c_Groups_Ozero__class_Ozero(_u6272))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u6275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6275), _u6276), c_Groups_Ozero__class_Ozero(_u6275))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6275), _u6277), c_Groups_Ozero__class_Ozero(_u6275))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6275), c_Groups_Ozero__class_Ozero(_u6275)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6277))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u6278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), _u6279), _u6280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), c_Groups_Ozero__class_Ozero(_u6278)), _u6281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6278), _u6279), _u6281)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6278), _u6280), _u6281))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u6282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), _u6283), _u6284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), _u6285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6285), _u6283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6285), _u6284))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u6286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), _u6287), _u6288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), c_Groups_Ozero__class_Ozero(_u6286)), _u6289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6286), _u6289), _u6287)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6286), _u6289), _u6288))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u6290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), _u6291), _u6292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), _u6293), c_Groups_Ozero__class_Ozero(_u6290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6290), _u6292), _u6293)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6290), _u6291), _u6293))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u6294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), _u6295), _u6296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), _u6297), c_Groups_Ozero__class_Ozero(_u6294))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6297), _u6296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6297), _u6295))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), _u6299), _u6300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), _u6301), _u6302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6300), _u6302))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u6303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), _u6304), _u6305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), _u6306), _u6307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), c_Groups_Ozero__class_Ozero(_u6303)), _u6305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), c_Groups_Ozero__class_Ozero(_u6303)), _u6306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6303), _u6304), _u6306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6303), _u6305), _u6307))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u6308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), c_Groups_Ozero__class_Ozero(_u6308)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6308), _u6309), _u6310))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), c_Groups_Ozero__class_Ozero(_u6308)), _u6309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), c_Groups_Ozero__class_Ozero(_u6308)), _u6310)) )).
% 12.17/12.38 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u6308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), c_Groups_Ozero__class_Ozero(_u6308)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6308), _u6309), _u6310))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), _u6309), c_Groups_Ozero__class_Ozero(_u6308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), _u6310), c_Groups_Ozero__class_Ozero(_u6308))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6311) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6311), _u6312), _u6313)), c_Groups_Ozero__class_Ozero(_u6311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), c_Groups_Ozero__class_Ozero(_u6311)), _u6312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), _u6313), c_Groups_Ozero__class_Ozero(_u6311))) )).
% 12.17/12.38 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6311) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6311), _u6312), _u6313)), c_Groups_Ozero__class_Ozero(_u6311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), _u6312), c_Groups_Ozero__class_Ozero(_u6311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), c_Groups_Ozero__class_Ozero(_u6311)), _u6313)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6314), _u6315), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), _u6315)) )).
% 12.17/12.38 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), _u6315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6314), _u6315), _u6315))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6316), _u6317), _u6317)), c_Groups_Ozero__class_Ozero(_u6316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), _u6317), c_Groups_Ozero__class_Ozero(_u6316))) )).
% 12.17/12.38 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), _u6317), c_Groups_Ozero__class_Ozero(_u6316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6316), _u6317), _u6317)), c_Groups_Ozero__class_Ozero(_u6316))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), _u6319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), _u6320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6318), _u6319), _u6320))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), _u6322), c_Groups_Ozero__class_Ozero(_u6321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), _u6323), c_Groups_Ozero__class_Ozero(_u6321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6321), _u6322), _u6323)), c_Groups_Ozero__class_Ozero(_u6321))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), c_Groups_Ozero__class_Ozero(_u6324)), _u6325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), _u6326), _u6327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), _u6326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6324), _u6325), _u6327))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u6328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6328), _u6329), _u6329)), c_Groups_Ozero__class_Ozero(_u6328))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), c_Groups_Ozero__class_Ozero(_u6330)), _u6332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6332), c_Groups_Ozero__class_Ozero(_u6330))) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), c_Groups_Ozero__class_Ozero(_u6330)), _u6332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6333), _u6331)) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6331), _u6333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6332), c_Groups_Ozero__class_Ozero(_u6330))) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6331), _u6333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6333), _u6331)) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6330) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), c_Groups_Ozero__class_Ozero(_u6330)), _u6332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6331), _u6333)) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6330) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6332), c_Groups_Ozero__class_Ozero(_u6330))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6333), _u6331)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), c_Groups_Ozero__class_Ozero(_u6334)), _u6335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6335), c_Groups_Ozero__class_Ozero(_u6334))) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), c_Groups_Ozero__class_Ozero(_u6334)), _u6335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6337), _u6336)) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6336), _u6337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6335), c_Groups_Ozero__class_Ozero(_u6334))) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6336), _u6337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6337), _u6336)) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), c_Groups_Ozero__class_Ozero(_u6334)), _u6335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6336), _u6337)) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6335), c_Groups_Ozero__class_Ozero(_u6334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6337), _u6336)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), c_Groups_Ozero__class_Ozero(_u6338)), _u6339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6338), _u6339), _u6340)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6338), _u6339), _u6341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), _u6340), _u6341)) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), c_Groups_Ozero__class_Ozero(_u6338)), _u6339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), _u6340), _u6341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6338), _u6339), _u6340)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6338), _u6339), _u6341))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6342), c_Groups_Ozero__class_Ozero(_u6342)), _u6343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6342), c_Groups_Ozero__class_Ozero(_u6342)), _u6344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6342), c_Groups_Ozero__class_Ozero(_u6342)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6342), _u6343), _u6344))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6345), c_Groups_Ozero__class_Ozero(_u6345)), _u6346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6345), _u6347), c_Groups_Ozero__class_Ozero(_u6345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6345), _u6346), _u6347)), c_Groups_Ozero__class_Ozero(_u6345))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6348), c_Groups_Ozero__class_Ozero(_u6348)), _u6349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6348), _u6350), c_Groups_Ozero__class_Ozero(_u6348))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6348), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6348), _u6350), _u6349)), c_Groups_Ozero__class_Ozero(_u6348))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6351), c_Groups_Ozero__class_Ozero(_u6351)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6353))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6351), c_Groups_Ozero__class_Ozero(_u6351)), _u6352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6351), c_Groups_Ozero__class_Ozero(_u6351)), _u6353)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6354), _u6355), _u6356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), _u6356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), _u6355)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), _u6358), c_Groups_Ozero__class_Ozero(_u6357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6359)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6360))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), _u6360), _u6359)) )).
% 12.17/12.38 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), _u6358), c_Groups_Ozero__class_Ozero(_u6357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), _u6360), _u6359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6359)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6360))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), _u6362), c_Groups_Ozero__class_Ozero(_u6361))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), c_Groups_Ozero__class_Ozero(_u6361)), _u6363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6361), _u6362), _u6363)), c_Groups_Ozero__class_Ozero(_u6361))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6364), _u6365), c_Groups_Ozero__class_Ozero(_u6364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6364), _u6366), c_Groups_Ozero__class_Ozero(_u6364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6364), c_Groups_Ozero__class_Ozero(_u6364)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6364), _u6365), _u6366))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6367), _u6368), _u6369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6367), c_Groups_Ozero__class_Ozero(_u6367)), _u6370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6367), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6367), _u6368), _u6370)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6367), _u6369), _u6370))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6371), _u6372), _u6373)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6371), c_Groups_Ozero__class_Ozero(_u6371)), _u6374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6371), _u6374), _u6372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6371), _u6374), _u6373))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u6375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6375), _u6376), _u6377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6375), c_Groups_Ozero__class_Ozero(_u6375)), _u6378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6375), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6375), _u6378), _u6376)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6375), _u6378), _u6377))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6379), _u6380), _u6381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6379), _u6382), c_Groups_Ozero__class_Ozero(_u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6379), _u6381), _u6382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6379), _u6380), _u6382))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6383), _u6384), _u6385)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6383), _u6386), c_Groups_Ozero__class_Ozero(_u6383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6383), _u6386), _u6385)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6383), _u6386), _u6384))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6387), _u6388), _u6389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6387), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6387), _u6388), _u6389)), c_Groups_Ozero__class_Ozero(_u6387))) )).
% 12.17/12.38 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6387), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6387), _u6388), _u6389)), c_Groups_Ozero__class_Ozero(_u6387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6387), _u6388), _u6389)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6390), _u6391), _u6392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6390), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6390), _u6391), _u6392)), c_Groups_Ozero__class_Ozero(_u6390))) )).
% 12.17/12.38 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6390), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6390), _u6391), _u6392)), c_Groups_Ozero__class_Ozero(_u6390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6390), _u6391), _u6392)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6393) | ( _u6394 = c_Groups_Ozero__class_Ozero(_u6393)) | ( _u6395 != _u6396) | ( _u6397 = _u6398) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6393), _u6395), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6393), _u6394), _u6397)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6393), _u6396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6393), _u6394), _u6398))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6399) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), c_Groups_Ozero__class_Ozero(_u6399)), c_Groups_Oone__class_Oone(_u6399))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6400), c_Groups_Oone__class_Oone(_u6400)), c_Groups_Ozero__class_Ozero(_u6400))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6401) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6401), c_Groups_Ozero__class_Ozero(_u6401)), c_Groups_Oone__class_Oone(_u6401))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6402), c_Groups_Oone__class_Oone(_u6402)), c_Groups_Ozero__class_Ozero(_u6402))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), c_Groups_Ozero__class_Ozero(_u6403)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6403), _u6404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), c_Groups_Ozero__class_Ozero(_u6403))) )).
% 12.17/12.38 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), c_Groups_Ozero__class_Ozero(_u6403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), c_Groups_Ozero__class_Ozero(_u6403)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6403), _u6404))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), hAPP(c_Groups_Ouminus__class_Ouminus(_u6405), _u6406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), c_Groups_Ozero__class_Ozero(_u6405))) )).
% 12.17/12.38 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), c_Groups_Ozero__class_Ozero(_u6405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), hAPP(c_Groups_Ouminus__class_Ouminus(_u6405), _u6406))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6407), hAPP(c_Groups_Ouminus__class_Ouminus(_u6407), _u6408)), c_Groups_Ozero__class_Ozero(_u6407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6407), c_Groups_Ozero__class_Ozero(_u6407)), _u6408)) )).
% 12.17/12.38 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6407), c_Groups_Ozero__class_Ozero(_u6407)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6407), hAPP(c_Groups_Ouminus__class_Ouminus(_u6407), _u6408)), c_Groups_Ozero__class_Ozero(_u6407))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6409), hAPP(c_Groups_Ouminus__class_Ouminus(_u6409), _u6410)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6409), c_Groups_Ozero__class_Ozero(_u6409)), _u6410)) )).
% 12.17/12.38 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6409), c_Groups_Ozero__class_Ozero(_u6409)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6409), hAPP(c_Groups_Ouminus__class_Ouminus(_u6409), _u6410)), _u6410)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), hAPP(c_Groups_Ouminus__class_Ouminus(_u6411), _u6412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), c_Groups_Ozero__class_Ozero(_u6411))) )).
% 12.17/12.38 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), c_Groups_Ozero__class_Ozero(_u6411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), hAPP(c_Groups_Ouminus__class_Ouminus(_u6411), _u6412))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), c_Groups_Ozero__class_Ozero(_u6413)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6413), _u6414))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), c_Groups_Ozero__class_Ozero(_u6413))) )).
% 12.17/12.38 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), c_Groups_Ozero__class_Ozero(_u6413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), c_Groups_Ozero__class_Ozero(_u6413)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6413), _u6414))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6415), hAPP(c_Groups_Ouminus__class_Ouminus(_u6415), _u6416)), c_Groups_Ozero__class_Ozero(_u6415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6415), c_Groups_Ozero__class_Ozero(_u6415)), _u6416)) )).
% 12.17/12.38 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6415), c_Groups_Ozero__class_Ozero(_u6415)), _u6416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6415), hAPP(c_Groups_Ouminus__class_Ouminus(_u6415), _u6416)), c_Groups_Ozero__class_Ozero(_u6415))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6417), hAPP(c_Groups_Ouminus__class_Ouminus(_u6417), _u6418)), _u6418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6417), c_Groups_Ozero__class_Ozero(_u6417)), _u6418)) )).
% 12.17/12.38 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6417), c_Groups_Ozero__class_Ozero(_u6417)), _u6418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6417), hAPP(c_Groups_Ouminus__class_Ouminus(_u6417), _u6418)), _u6418)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u6419) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6419), _u6420), _u6421) != c_Groups_Ozero__class_Ozero(_u6419)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6419), _u6420) = _u6421) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u6422) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6422), hAPP(c_Groups_Ouminus__class_Ouminus(_u6422), _u6423)), _u6423) = c_Groups_Ozero__class_Ozero(_u6422)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u6424) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6424), hAPP(c_Groups_Ouminus__class_Ouminus(_u6424), _u6425)), _u6425) = c_Groups_Ozero__class_Ozero(_u6424)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u6426) | ( _u6427 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6426), _u6428)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6426), _u6427), _u6428) = c_Groups_Ozero__class_Ozero(_u6426)) )).
% 12.17/12.38 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u6426) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6426), _u6427), _u6428) != c_Groups_Ozero__class_Ozero(_u6426)) | ( _u6427 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6426), _u6428)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u6429) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6429), _u6430), hAPP(c_Groups_Ouminus__class_Ouminus(_u6429), _u6430)) = c_Groups_Ozero__class_Ozero(_u6429)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6431), _u6432), _u6433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6431), c_Groups_Ozero__class_Ozero(_u6431)), _u6432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6431), hAPP(hAPP(c_Power_Opower__class_Opower(_u6431), _u6432), _u6434)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6431), _u6433), _u6434))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6435), c_Groups_Ozero__class_Ozero(_u6435)), _u6436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6435), c_Groups_Ozero__class_Ozero(_u6435)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6435), _u6436), _u6437))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6438), c_Groups_Ozero__class_Ozero(_u6438)), _u6439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6438), c_Groups_Ozero__class_Ozero(_u6438)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6438), _u6439), _u6440))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u6441) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6441), c_Groups_Ozero__class_Ozero(_u6441)), _u6442) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6441), _u6442)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6443) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6444, _u6443), _u6445), c_Orderings_Obot__class_Obot(tc_fun(_u6444, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u6443)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6446) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6447, _u6446), _u6448), c_Orderings_Obot__class_Obot(tc_fun(_u6447, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u6446)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6449) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6450), _u6451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6450, _u6449), _u6452), _u6451) = c_Groups_Ozero__class_Ozero(_u6449)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6453) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6454), _u6455)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6454, _u6453), _u6456), _u6455) = c_Groups_Ozero__class_Ozero(_u6453)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u6457) | ~class_Rings_Osemiring__0(_u6457) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6457), c_Groups_Ozero__class_Ozero(_u6457)), hAPP(c_Nat_OSuc, _u6458)) = c_Groups_Ozero__class_Ozero(_u6457)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6461) | ~class_Rings_Ono__zero__divisors(_u6461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6462), _u6463)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u6462, _u6461), _u6464), _u6463) != c_Groups_Ozero__class_Ozero(_u6461)) | hBOOL(hAPP(hAPP(c_member(_u6462), skolem121(_u6464, _u6463, _u6462, _u6461)), _u6463)) )).
% 12.17/12.38 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6461) | ~class_Rings_Ono__zero__divisors(_u6461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6462), _u6463)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u6462, _u6461), _u6464), _u6463) != c_Groups_Ozero__class_Ozero(_u6461)) | ( hAPP(_u6464, skolem121(_u6464, _u6463, _u6462, _u6461)) = c_Groups_Ozero__class_Ozero(_u6461)) )).
% 12.17/12.38 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6461) | ~class_Rings_Ono__zero__divisors(_u6461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6462), _u6463)) | ~hBOOL(hAPP(hAPP(c_member(_u6462), _u6460), _u6463)) | ( hAPP(_u6464, _u6460) != c_Groups_Ozero__class_Ozero(_u6461)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u6462, _u6461), _u6464), _u6463) = c_Groups_Ozero__class_Ozero(_u6461)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6466) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6467), _u6468)) | ~hBOOL(hAPP(hAPP(c_member(_u6467), _u6465), _u6468)) | ( hAPP(_u6469, _u6465) != c_Groups_Ozero__class_Ozero(_u6466)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u6467, _u6466), _u6469), _u6468) = c_Groups_Ozero__class_Ozero(_u6466)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6473)) | ( _u6473 = hAPP(c_Nat_OSuc, skolem122(_u6473))) )).
% 12.17/12.38 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u6474 != hAPP(c_Nat_OSuc, _u6471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6474)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6476), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u6476 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_less__Suc0-2, axiom, ( ( _u6477 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6477), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6482), hAPP(c_Nat_OSuc, _u6484))) | ( _u6482 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6482 = hAPP(c_Nat_OSuc, skolem123(_u6484, _u6482))) )).
% 12.17/12.38 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6482), hAPP(c_Nat_OSuc, _u6484))) | ( _u6482 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem123(_u6484, _u6482)), _u6484)) )).
% 12.17/12.38 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6483), hAPP(c_Nat_OSuc, _u6485))) | ( _u6483 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6483), hAPP(c_Nat_OSuc, _u6485))) | ( _u6483 != hAPP(c_Nat_OSuc, _u6479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6479), _u6485)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6488), _u6490)) | ( _u6488 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6488 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 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), _u6488), _u6490)) | ( _u6488 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6490 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 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), _u6488), _u6490)) | ( _u6490 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6488 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 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), _u6488), _u6490)) | ( _u6490 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6490 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 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), _u6489), _u6491)) | ( _u6489 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6491 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 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), _u6489), _u6491)) | ( _u6489 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6491 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6494), _u6496) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6494 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6494 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6494), _u6496) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6494 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6496 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6494), _u6496) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6494 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6494), _u6496) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6496 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6495), _u6497) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6495 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6497 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6495), _u6497) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6495 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6497 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6500), _u6502))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6502)) )).
% 12.17/12.38 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), _u6501), _u6503))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6501)) )).
% 12.17/12.38 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), _u6501), _u6503))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6503)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 12.17/12.38 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))), _u6504)) | 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), _u6504), _u6505))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u6506) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6506), _u6507), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6506)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6508) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6508), _u6509), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6508)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6510), c_Orderings_Obot__class_Obot(tc_fun(_u6510, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6511), _u6512)) | ( hAPP(c_Finite__Set_Ocard(_u6511), _u6512) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6515), _u6517) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6515 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6515), _u6517) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6517 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u6516 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6518 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6516), _u6518) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6521), _u6523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6523), _u6521)) )).
% 12.17/12.38 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6524), _u6522)) | 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), _u6522), _u6524))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6525)), _u6526)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6529), _u6531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6529)) )).
% 12.17/12.38 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), _u6529), _u6531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6531)) )).
% 12.17/12.38 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)), _u6530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6532)) | 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), _u6530), _u6532))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6536), _u6538)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6536), _u6540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6536)) )).
% 12.17/12.38 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), _u6536), _u6538)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6536), _u6540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6538), _u6540)) )).
% 12.17/12.38 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)), _u6537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6539), _u6541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6537), _u6539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6537), _u6541))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6545), _u6547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6549), _u6547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6547)) )).
% 12.17/12.38 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), _u6545), _u6547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6549), _u6547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6545), _u6549)) )).
% 12.17/12.38 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)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6546), _u6550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6546), _u6548)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6550), _u6548))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6551), _u6552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6551), _u6553)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6552), _u6553))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6554), _u6555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6556), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6556), _u6555))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6558)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6559))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6558), _u6559)) )).
% 12.17/12.38 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)), _u6557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6558), _u6559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6558)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6559))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6560)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6561) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6562)) | ( _u6561 = _u6562) )).
% 12.17/12.38 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)), _u6560)) | ( _u6561 != _u6562) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6561) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6562)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6563), _u6564)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__eq__if-1, axiom, ( ( _u6567 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6569), _u6567) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_power__eq__if-2, axiom, ( ( _u6568 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6570), _u6568) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6570), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6570), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6568), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6571), _u6572)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6571), _u6572) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6575), _u6577) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6575), _u6577)) )).
% 12.17/12.38 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6576), _u6578)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6576), _u6578) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 12.17/12.38 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))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u6579 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6579), _u6580)) | ( _u6580 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6583), _u6584)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6583, tc_Nat_Onat), _u6585), _u6584) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6583), _u6581), _u6584)) | ( hAPP(_u6585, _u6581) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6583), _u6584)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6583, tc_Nat_Onat), _u6585), _u6584) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6583), skolem124(_u6585, _u6584, _u6583)), _u6584)) )).
% 12.17/12.38 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6583), _u6584)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6583, tc_Nat_Onat), _u6585), _u6584) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u6585, skolem124(_u6585, _u6584, _u6583)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6586)) | ( _u6586 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6586), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__eq__if-1, axiom, ( ( _u6589 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6589), _u6591) = _u6591) )).
% 12.17/12.38 cnf(fact_add__eq__if-2, axiom, ( ( _u6590 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6590), _u6592) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6590), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6592))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6593), _u6594), c_Groups_Ozero__class_Ozero(_u6593))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6593), _u6595), c_Groups_Ozero__class_Ozero(_u6593))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), _u6594), _u6595)), c_Groups_Ozero__class_Ozero(_u6593))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6596), _u6597), c_Groups_Ozero__class_Ozero(_u6596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6596), _u6598), c_Groups_Ozero__class_Ozero(_u6596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6596), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6596), _u6597), _u6598)), c_Groups_Ozero__class_Ozero(_u6596))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6599), c_Groups_Ozero__class_Ozero(_u6599)), _u6600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6599), _u6601), _u6602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6599), _u6601), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), _u6600), _u6602))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6603), c_Groups_Ozero__class_Ozero(_u6603)), _u6604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6603), _u6605), _u6606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6603), _u6605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6603), _u6604), _u6606))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6607), c_Groups_Ozero__class_Ozero(_u6607)), _u6608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6607), c_Groups_Ozero__class_Ozero(_u6607)), _u6609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6607), c_Groups_Ozero__class_Ozero(_u6607)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6607), _u6608), _u6609))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6610) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6610), c_Groups_Ozero__class_Ozero(_u6610)), _u6611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6610), c_Groups_Ozero__class_Ozero(_u6610)), _u6612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6610), c_Groups_Ozero__class_Ozero(_u6610)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6610), _u6611), _u6612))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6613), c_Groups_Ozero__class_Ozero(_u6613)), _u6614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6613), _u6614), _u6615)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6613), _u6614), _u6616))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6613), _u6615), _u6616)) )).
% 12.17/12.38 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6613), c_Groups_Ozero__class_Ozero(_u6613)), _u6614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6613), _u6615), _u6616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6613), _u6614), _u6615)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6613), _u6614), _u6616))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6617), _u6618), c_Groups_Ozero__class_Ozero(_u6617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6617), _u6618), _u6619)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6617), _u6618), _u6620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6617), _u6620), _u6619)) )).
% 12.17/12.38 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6617), _u6618), c_Groups_Ozero__class_Ozero(_u6617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6617), _u6620), _u6619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6617), _u6618), _u6619)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6617), _u6618), _u6620))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6621), _u6622), _u6623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6621), _u6624), _u6625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6621), c_Groups_Ozero__class_Ozero(_u6621)), _u6623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), c_Groups_Ozero__class_Ozero(_u6621)), _u6624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6622), _u6624)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6623), _u6625))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6626), _u6627), _u6628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6626), _u6629), _u6630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6626), c_Groups_Ozero__class_Ozero(_u6626)), _u6627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6626), c_Groups_Ozero__class_Ozero(_u6626)), _u6629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6626), _u6627), _u6629)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6626), _u6628), _u6630))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6631), _u6632), _u6633)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6631), _u6634), _u6635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6631), c_Groups_Ozero__class_Ozero(_u6631)), _u6632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6631), c_Groups_Ozero__class_Ozero(_u6631)), _u6634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6631), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6631), _u6632), _u6634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6631), _u6633), _u6635))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6636) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6636), _u6637), _u6638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6636), _u6639), _u6640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6636), c_Groups_Ozero__class_Ozero(_u6636)), _u6637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6636), c_Groups_Ozero__class_Ozero(_u6636)), _u6639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6636), _u6637), _u6639)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6636), _u6638), _u6640))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u6641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6641), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6641), _u6642), _u6643)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6641), _u6644), _u6643))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6641), c_Groups_Ozero__class_Ozero(_u6641)), _u6643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6641), _u6642), _u6644)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6645), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6645), _u6646), _u6647)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6645), _u6648), _u6647))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6645), c_Groups_Ozero__class_Ozero(_u6645)), _u6647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6645), _u6646), _u6648)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u6649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6649), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6649), _u6650), _u6651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6649), _u6650), _u6652))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6649), c_Groups_Ozero__class_Ozero(_u6649)), _u6650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6649), _u6651), _u6652)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6653), _u6654), _u6655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6653), _u6654), _u6656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6653), c_Groups_Ozero__class_Ozero(_u6653)), _u6654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6653), _u6655), _u6656)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6657), _u6658), _u6659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6657), _u6660), _u6659))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6657), c_Groups_Ozero__class_Ozero(_u6657)), _u6659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6657), _u6658), _u6660)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6661), _u6662), _u6663)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6661), _u6662), _u6664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6661), c_Groups_Ozero__class_Ozero(_u6661)), _u6662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6661), _u6663), _u6664)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__eq__if-1, axiom, ( ( _u6667 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6667), _u6669) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_mult__eq__if-2, axiom, ( ( _u6668 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6668), _u6670) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6668), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6670))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u6671) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6671), c_Groups_Ozero__class_Ozero(_u6671)), _u6672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6671), c_Groups_Ozero__class_Ozero(_u6671)), _u6673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6671), _u6673), c_Groups_Oone__class_Oone(_u6671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6671), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6671), _u6672), _u6673)), _u6672)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u6674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6674), c_Groups_Ozero__class_Ozero(_u6674)), _u6675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6674), c_Groups_Ozero__class_Ozero(_u6674)), _u6676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6674), _u6676), c_Groups_Oone__class_Oone(_u6674))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6674), _u6676), _u6675)), _u6675)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6677) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6677), c_Groups_Ozero__class_Ozero(_u6677)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6677), c_Groups_Oone__class_Oone(_u6677)), c_Groups_Oone__class_Oone(_u6677)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6678), hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6680)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6681), _u6680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6678), c_Groups_Ozero__class_Ozero(_u6678)), _u6681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6678), _u6679), _u6681)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6682), hAPP(hAPP(c_Power_Opower__class_Opower(_u6682), _u6683), hAPP(c_Nat_OSuc, _u6684))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6682), _u6685), hAPP(c_Nat_OSuc, _u6684)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6682), c_Groups_Ozero__class_Ozero(_u6682)), _u6685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6682), _u6683), _u6685)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6686) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6686), _u6687), hAPP(c_Nat_OSuc, _u6688)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6686), _u6689), hAPP(c_Nat_OSuc, _u6688))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6686), c_Groups_Ozero__class_Ozero(_u6686)), _u6687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6686), c_Groups_Ozero__class_Ozero(_u6686)), _u6689)) | ( _u6687 = _u6689) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6692), _u6694) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6694 = c_Orderings_Obot__class_Obot(tc_fun(_u6692, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6692), _u6694)) )).
% 12.17/12.38 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6693), _u6695) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6695 != c_Orderings_Obot__class_Obot(tc_fun(_u6693, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6693), _u6695) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6693), _u6695)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 12.17/12.38 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(_u6696), _u6697))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6696), _u6697)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6698), hAPP(c_Nat_OSuc, _u6699))), _u6698)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6700)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6700), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u6700) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 12.17/12.38 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))), _u6701)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6702)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6702), _u6701))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 12.17/12.38 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))), _u6703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6703), _u6704))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 12.17/12.38 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))), _u6705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6706)) | 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), _u6706), _u6705))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u6712, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6714), _u6716))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6714), _u6716)) | hBOOL(hAPP(_u6712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u6712, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6714), _u6716))) | ( _u6714 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6716), _u6707)) | hBOOL(hAPP(_u6712, _u6707)) )).
% 12.17/12.38 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u6713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6715), _u6717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6715), _u6717)) | ( _u6715 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6717), skolem125(_u6717, _u6715, _u6713))) )).
% 12.17/12.38 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u6713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6715), _u6717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6715), _u6717)) | ~hBOOL(hAPP(_u6713, skolem125(_u6717, _u6715, _u6713))) )).
% 12.17/12.38 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u6713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6715), _u6717))) | ~hBOOL(hAPP(_u6713, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6715 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6717), skolem125(_u6717, _u6715, _u6713))) )).
% 12.17/12.38 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u6713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6715), _u6717))) | ~hBOOL(hAPP(_u6713, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6713, skolem125(_u6717, _u6715, _u6713))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u6723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6725), _u6727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6725), _u6727)) | hBOOL(hAPP(_u6723, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u6723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6725), _u6727))) | ( _u6725 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6727), _u6718)) | hBOOL(hAPP(_u6723, _u6718)) )).
% 12.17/12.38 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u6724, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6726), _u6728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6726), _u6728)) | ( _u6726 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6728), skolem126(_u6728, _u6726, _u6724))) )).
% 12.17/12.38 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u6724, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6726), _u6728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6726), _u6728)) | ~hBOOL(hAPP(_u6724, skolem126(_u6728, _u6726, _u6724))) )).
% 12.17/12.38 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u6724, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6726), _u6728))) | ~hBOOL(hAPP(_u6724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6726 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6728), skolem126(_u6728, _u6726, _u6724))) )).
% 12.17/12.38 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u6724, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6726), _u6728))) | ~hBOOL(hAPP(_u6724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6724, skolem126(_u6728, _u6726, _u6724))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6731), _u6733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6731)) )).
% 12.17/12.38 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), _u6731), _u6733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6733)) )).
% 12.17/12.38 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))), _u6732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6734)) | 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), _u6732), _u6734))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6738), _u6740)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6738), _u6742))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6740), _u6742)) )).
% 12.17/12.38 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), _u6739), _u6741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6739), _u6743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6739)) )).
% 12.17/12.38 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), _u6739), _u6741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6739), _u6743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6741), _u6743)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6747), _u6749)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6751), _u6749))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6747), _u6751)) )).
% 12.17/12.38 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), _u6748), _u6750)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6752), _u6750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6750)) )).
% 12.17/12.38 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), _u6748), _u6750)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6752), _u6750))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6748), _u6752)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6755))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6754), _u6755)) )).
% 12.17/12.38 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)), _u6753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6754), _u6755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6755))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u6760), skolem127(_u6762, _u6761, _u6760)), _u6761)) )).
% 12.17/12.38 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u6762, skolem127(_u6762, _u6761, _u6760)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u6760), _u6756), _u6761)) | ( skolem127(_u6762, _u6761, _u6760) = _u6756) | ( hAPP(_u6762, _u6756) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u6760), _u6759), _u6761)) | ( hAPP(_u6762, _u6759) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u6760), skolem128(_u6762, _u6761, _u6760, _u6759)), _u6761)) )).
% 12.17/12.38 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u6760), _u6759), _u6761)) | ( hAPP(_u6762, _u6759) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6759 != skolem128(_u6762, _u6761, _u6760, _u6759)) )).
% 12.17/12.38 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u6760), _u6759), _u6761)) | ( hAPP(_u6762, _u6759) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u6762, skolem128(_u6762, _u6761, _u6760, _u6759)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6767), skolem129(_u6769, _u6768, _u6767)), _u6768)) )).
% 12.17/12.38 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u6769, skolem129(_u6769, _u6768, _u6767)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6767), _u6763), _u6768)) | ( skolem129(_u6769, _u6768, _u6767) = _u6763) | ( hAPP(_u6769, _u6763) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6767), _u6766), _u6768)) | ( hAPP(_u6769, _u6766) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6767), skolem130(_u6769, _u6768, _u6767, _u6766)), _u6768)) )).
% 12.17/12.38 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6767), _u6766), _u6768)) | ( hAPP(_u6769, _u6766) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6766 != skolem130(_u6769, _u6768, _u6767, _u6766)) )).
% 12.17/12.38 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6767), _u6766), _u6768)) | ( hAPP(_u6769, _u6766) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u6769, skolem130(_u6769, _u6768, _u6767, _u6766)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6771), _u6772)) | ~hBOOL(hAPP(hAPP(c_member(_u6771), _u6773), _u6772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6771, _u6770), hAPP(hAPP(c_COMBC(_u6771, _u6770, _u6770), hAPP(hAPP(c_COMBS(_u6771, _u6770, tc_fun(_u6770, _u6770)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6770, tc_fun(_u6770, _u6770)), _u6771), c_If(_u6770)), hAPP(hAPP(c_COMBC(_u6771, _u6771, tc_HOL_Obool), c_fequal), _u6773))), _u6774)), c_Groups_Ozero__class_Ozero(_u6770))), _u6772) = hAPP(_u6774, _u6773)) )).
% 12.17/12.38 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6771), _u6772)) | hBOOL(hAPP(hAPP(c_member(_u6771), _u6773), _u6772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6771, _u6770), hAPP(hAPP(c_COMBC(_u6771, _u6770, _u6770), hAPP(hAPP(c_COMBS(_u6771, _u6770, tc_fun(_u6770, _u6770)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6770, tc_fun(_u6770, _u6770)), _u6771), c_If(_u6770)), hAPP(hAPP(c_COMBC(_u6771, _u6771, tc_HOL_Obool), c_fequal), _u6773))), _u6774)), c_Groups_Ozero__class_Ozero(_u6770))), _u6772) = c_Groups_Ozero__class_Ozero(_u6770)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6775) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6776), _u6777)) | ~hBOOL(hAPP(hAPP(c_member(_u6776), _u6778), _u6777)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6776, _u6775), hAPP(hAPP(c_COMBC(_u6776, _u6775, _u6775), hAPP(hAPP(c_COMBS(_u6776, _u6775, tc_fun(_u6775, _u6775)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6775, tc_fun(_u6775, _u6775)), _u6776), c_If(_u6775)), hAPP(c_fequal, _u6778))), _u6779)), c_Groups_Ozero__class_Ozero(_u6775))), _u6777) = hAPP(_u6779, _u6778)) )).
% 12.17/12.38 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6775) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6776), _u6777)) | hBOOL(hAPP(hAPP(c_member(_u6776), _u6778), _u6777)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6776, _u6775), hAPP(hAPP(c_COMBC(_u6776, _u6775, _u6775), hAPP(hAPP(c_COMBS(_u6776, _u6775, tc_fun(_u6775, _u6775)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6775, tc_fun(_u6775, _u6775)), _u6776), c_If(_u6775)), hAPP(c_fequal, _u6778))), _u6779)), c_Groups_Ozero__class_Ozero(_u6775))), _u6777) = c_Groups_Ozero__class_Ozero(_u6775)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6782), _u6783)) | ~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(_u6782, tc_Nat_Onat), _u6784), _u6783))) | ~hBOOL(hAPP(hAPP(c_member(_u6782), _u6780), _u6783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u6784, _u6780))) )).
% 12.17/12.38 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6782), _u6783)) | 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(_u6782, tc_Nat_Onat), _u6784), _u6783))) | hBOOL(hAPP(hAPP(c_member(_u6782), skolem131(_u6784, _u6783, _u6782)), _u6783)) )).
% 12.17/12.38 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6782), _u6783)) | 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(_u6782, tc_Nat_Onat), _u6784), _u6783))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u6784, skolem131(_u6784, _u6783, _u6782)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u6785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), _u6786), _u6787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), _u6788), _u6787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), c_Groups_Ozero__class_Ozero(_u6785)), _u6789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), c_Groups_Ozero__class_Ozero(_u6785)), _u6790)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6785), _u6789), _u6790) != c_Groups_Oone__class_Oone(_u6785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6785), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6785), _u6789), _u6786)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6785), _u6790), _u6788))), _u6787)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6791), c_Groups_Ozero__class_Ozero(_u6791)), _u6792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6791), _u6792), c_Groups_Oone__class_Oone(_u6791))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6791), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6791), _u6792), hAPP(hAPP(c_Power_Opower__class_Opower(_u6791), _u6792), _u6793))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6791), _u6792), _u6793))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6794), c_Groups_Ozero__class_Ozero(_u6794)), _u6795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6794), _u6795), c_Groups_Oone__class_Oone(_u6794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6794), hAPP(hAPP(c_Power_Opower__class_Opower(_u6794), _u6795), hAPP(c_Nat_OSuc, _u6796))), c_Groups_Oone__class_Oone(_u6794))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6798), _u6799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6797), c_Groups_Ozero__class_Ozero(_u6797)), _u6800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6797), _u6800), c_Groups_Oone__class_Oone(_u6797))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6797), hAPP(hAPP(c_Power_Opower__class_Opower(_u6797), _u6800), _u6799)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6797), _u6800), _u6798))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6802), _u6803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6801), c_Groups_Ozero__class_Ozero(_u6801)), _u6804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6801), _u6804), c_Groups_Oone__class_Oone(_u6801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6801), hAPP(hAPP(c_Power_Opower__class_Opower(_u6801), _u6804), _u6803)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6801), _u6804), _u6802))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6805), c_Groups_Oone__class_Oone(_u6805)), _u6806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6805), c_Groups_Oone__class_Oone(_u6805)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6805), _u6806), _u6807))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 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(_u6810), _u6812))) | ( _u6812 != c_Orderings_Obot__class_Obot(tc_fun(_u6810, tc_HOL_Obool))) )).
% 12.17/12.38 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(_u6810), _u6812))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6810), _u6812)) )).
% 12.17/12.38 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u6813 = c_Orderings_Obot__class_Obot(tc_fun(_u6811, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6811), _u6813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6811), _u6813))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6814), c_Orderings_Otop__class_Otop(tc_fun(_u6814, 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(_u6814), c_Orderings_Otop__class_Otop(tc_fun(_u6814, tc_HOL_Obool))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6816), _u6817)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6816, _u6815), _u6818), _u6817) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6815, _u6816, c_Groups_Oplus__class_Oplus(_u6815)), _u6818), c_Groups_Ozero__class_Ozero(_u6815)), _u6817)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6820), _u6821)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6820, _u6819), _u6822), _u6821) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6819, _u6820, c_Groups_Oplus__class_Oplus(_u6819)), _u6822), c_Groups_Ozero__class_Ozero(_u6819)), _u6821)) )).
% 12.17/12.38 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6819) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6820), _u6821)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6820, _u6819), _u6822), _u6821) = c_Groups_Ozero__class_Ozero(_u6819)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6823)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6823), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u6823) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6824) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6825), _u6826)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6825, _u6824), _u6827), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6825, tc_HOL_Obool)), _u6826), _u6828)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6825, _u6824), hAPP(hAPP(c_COMBC(_u6825, _u6824, _u6824), hAPP(hAPP(c_COMBS(_u6825, _u6824, tc_fun(_u6824, _u6824)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6824, tc_fun(_u6824, _u6824)), _u6825), c_If(_u6824)), hAPP(hAPP(c_COMBC(_u6825, tc_fun(_u6825, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6825)), _u6828))), _u6827)), c_Groups_Ozero__class_Ozero(_u6824))), _u6826)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__def ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6831), _u6833)) | ( hAPP(c_Finite__Set_Ocard(_u6831), _u6833) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u6831, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u6831), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6833)) )).
% 12.17/12.38 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6832), _u6834)) | ( hAPP(c_Finite__Set_Ocard(_u6832), _u6834) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6835), _u6836)) | ( hAPP(c_Finite__Set_Ocard(_u6835), _u6836) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u6835, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u6835), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6836)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u6837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6837), _u6838), _u6839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6837), _u6840), _u6839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6837), c_Groups_Ozero__class_Ozero(_u6837)), _u6841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6837), c_Groups_Ozero__class_Ozero(_u6837)), _u6842)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6837), _u6841), _u6842) != c_Groups_Oone__class_Oone(_u6837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6837), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6837), _u6841), _u6838)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6837), _u6842), _u6840))), _u6839)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_triple_Osize_I1_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_triple_Osize_I1_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u6843, _u6844, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u6843), _u6845), _u6846), _u6847)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6848) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6848), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6848), _u6849), _u6849)), c_Groups_Ozero__class_Ozero(_u6848))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6848), _u6849), c_Groups_Ozero__class_Ozero(_u6848))) )).
% 12.17/12.38 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6848) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6848), _u6849), c_Groups_Ozero__class_Ozero(_u6848))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6848), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6848), _u6849), _u6849)), c_Groups_Ozero__class_Ozero(_u6848))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_triple_Osize_I2_J ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_triple_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u6850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u6850), _u6851), _u6852), _u6853)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6855), _u6856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6855), _u6857)) | ( hAPP(c_Finite__Set_Ocard(_u6855), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6855, tc_HOL_Obool)), _u6856), _u6857)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6855), _u6856)), hAPP(c_Finite__Set_Ocard(_u6855), _u6857))) | hBOOL(hAPP(hAPP(c_member(_u6855), skolem132(_u6857, _u6856, _u6855)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6855, tc_HOL_Obool)), _u6856), _u6857))) )).
% 12.17/12.38 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6855), _u6856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6855), _u6857)) | ( hAPP(c_Finite__Set_Ocard(_u6855), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6855, tc_HOL_Obool)), _u6856), _u6857)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6855), _u6856)), hAPP(c_Finite__Set_Ocard(_u6855), _u6857))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6860), _u6861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6860, tc_HOL_Obool)), _u6862), _u6861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6859), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6860, _u6859), _u6863), _u6862)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6860, _u6859), _u6863), _u6861))) | hBOOL(hAPP(hAPP(c_member(_u6860), skolem133(_u6863, _u6862, _u6861, _u6860, _u6859)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6860, tc_HOL_Obool)), _u6861), _u6862))) )).
% 12.17/12.38 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6860), _u6861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6860, tc_HOL_Obool)), _u6862), _u6861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6859), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6860, _u6859), _u6863), _u6862)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6860, _u6859), _u6863), _u6861))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6859), c_Groups_Ozero__class_Ozero(_u6859)), hAPP(_u6863, skolem133(_u6863, _u6862, _u6861, _u6860, _u6859)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6864)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u6865))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6866))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6866), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6864), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6866), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6865))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6867))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6868) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u6868), _u6869) != hAPP(c_SetInterval_Oord__class_OlessThan(_u6868), _u6870)) | ( _u6869 = _u6870) )).
% 12.17/12.38 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6868) | ( _u6869 != _u6870) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u6868), _u6869) = hAPP(c_SetInterval_Oord__class_OlessThan(_u6868), _u6870)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6871)) = _u6871) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 12.17/12.38 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))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6872)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u6872), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6872))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 12.17/12.38 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))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6873)) = 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), _u6873)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6874) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u6874), _u6875), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6876))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6874), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u6874), _u6875), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6876))), hAPP(_u6875, _u6876))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u6877) | ~hBOOL(hAPP(hAPP(c_member(_u6877), _u6878), hAPP(c_SetInterval_Oord__class_OlessThan(_u6877), _u6879))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6877), _u6878), _u6879)) )).
% 12.17/12.38 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u6877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6877), _u6878), _u6879)) | hBOOL(hAPP(hAPP(c_member(_u6877), _u6878), hAPP(c_SetInterval_Oord__class_OlessThan(_u6877), _u6879))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6880, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6880), _u6881)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6880), _u6882))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), _u6881), _u6882)) )).
% 12.17/12.38 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), _u6881), _u6882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6880, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6880), _u6881)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6880), _u6882))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6883, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6883), _u6884)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6883), _u6885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6883), _u6884), _u6885)) )).
% 12.17/12.38 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6883), _u6884), _u6885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6883, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6883), _u6884)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6883), _u6885))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6886), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6887), _u6888)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6886), _u6887)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6886), _u6888))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6889), _u6890)), _u6891) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6890), _u6891))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u6892) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6892, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u6892), _u6893), c_Orderings_Obot__class_Obot(tc_fun(_u6892, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u6892), _u6893)) = hAPP(hAPP(c_Set_Oinsert(_u6892), _u6893), c_Orderings_Obot__class_Obot(tc_fun(_u6892, tc_HOL_Obool)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6894) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6894), _u6895), _u6895) != c_Groups_Ozero__class_Ozero(_u6894)) | ( _u6895 = c_Groups_Ozero__class_Ozero(_u6894)) )).
% 12.17/12.38 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6894) | ( _u6895 != c_Groups_Ozero__class_Ozero(_u6894)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6894), _u6895), _u6895) = c_Groups_Ozero__class_Ozero(_u6894)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6896) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6896), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), c_Groups_Oone__class_Oone(_u6896)), c_Groups_Oone__class_Oone(_u6896))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u6896), hAPP(hAPP(c_COMBB(_u6896, _u6896, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u6896), _u6897)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u6896, _u6896), hAPP(hAPP(c_COMBB(_u6896, tc_fun(_u6896, _u6896), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u6896)), c_Nat_Osemiring__1__class_Oof__nat(_u6896))), _u6898))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6899))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6896), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6896), _u6899)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), _u6897), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), _u6897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6896), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6896), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6899), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u6898))))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6902), _u6903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6902), _u6904)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6902, tc_HOL_Obool)), _u6903), _u6904)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6901), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), _u6903)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), _u6904))) | hBOOL(hAPP(hAPP(c_member(_u6902), skolem134(_u6905, _u6904, _u6903, _u6902, _u6901)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6902, tc_HOL_Obool)), _u6903), _u6904))) )).
% 12.17/12.38 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6902), _u6903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6902), _u6904)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6902, tc_HOL_Obool)), _u6903), _u6904)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6901), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), _u6903)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), _u6904))) | ( hAPP(_u6905, skolem134(_u6905, _u6904, _u6903, _u6902, _u6901)) != c_Groups_Ozero__class_Ozero(_u6901)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6907) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6908), _u6909)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6908), _u6910)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6908, tc_HOL_Obool)), _u6909), _u6910)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6907), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), _u6909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), _u6910))) | hBOOL(hAPP(hAPP(c_member(_u6908), skolem135(_u6911, _u6910, _u6909, _u6908, _u6907)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6908, tc_HOL_Obool)), _u6909), _u6910))) )).
% 12.17/12.38 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6907) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6908), _u6909)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6908), _u6910)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6908, tc_HOL_Obool)), _u6909), _u6910)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6907), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), _u6909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), _u6910))) | ( hAPP(_u6911, skolem135(_u6911, _u6910, _u6909, _u6908, _u6907)) != c_Groups_Ozero__class_Ozero(_u6907)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6919), _u6921) != hAPP(c_Nat_OSuc, _u6923)) | ( _u6921 = hAPP(hAPP(c_Set_Oinsert(_u6919), skolem136(_u6923, _u6921, _u6919)), skolem137(_u6923, _u6921, _u6919))) )).
% 12.17/12.38 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6919), _u6921) != hAPP(c_Nat_OSuc, _u6923)) | ~hBOOL(hAPP(hAPP(c_member(_u6919), skolem136(_u6923, _u6921, _u6919)), skolem137(_u6923, _u6921, _u6919))) )).
% 12.17/12.38 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6919), _u6921) != hAPP(c_Nat_OSuc, _u6923)) | ( hAPP(c_Finite__Set_Ocard(_u6919), skolem137(_u6923, _u6921, _u6919)) = _u6923) )).
% 12.17/12.38 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6919), _u6921) != hAPP(c_Nat_OSuc, _u6923)) | ( _u6923 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem137(_u6923, _u6921, _u6919) = c_Orderings_Obot__class_Obot(tc_fun(_u6919, tc_HOL_Obool))) )).
% 12.17/12.38 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6920), _u6922) = hAPP(c_Nat_OSuc, _u6924)) | ( _u6922 != hAPP(hAPP(c_Set_Oinsert(_u6920), _u6915), _u6914)) | hBOOL(hAPP(hAPP(c_member(_u6920), _u6915), _u6914)) | ( hAPP(c_Finite__Set_Ocard(_u6920), _u6914) != _u6924) | ( _u6924 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6920), _u6922) = hAPP(c_Nat_OSuc, _u6924)) | ( _u6922 != hAPP(hAPP(c_Set_Oinsert(_u6920), _u6915), _u6914)) | hBOOL(hAPP(hAPP(c_member(_u6920), _u6915), _u6914)) | ( hAPP(c_Finite__Set_Ocard(_u6920), _u6914) != _u6924) | ( _u6914 != c_Orderings_Obot__class_Obot(tc_fun(_u6920, tc_HOL_Obool))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6926) | ~class_Groups_Oordered__ab__semigroup__add(_u6926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6927), _u6928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6927, tc_HOL_Obool)), _u6929), _u6928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6926), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6927, _u6926), _u6930), _u6929)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6927, _u6926), _u6930), _u6928))) | hBOOL(hAPP(hAPP(c_member(_u6927), skolem138(_u6930, _u6929, _u6928, _u6927, _u6926)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6927, tc_HOL_Obool)), _u6928), _u6929))) )).
% 12.17/12.38 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6926) | ~class_Groups_Oordered__ab__semigroup__add(_u6926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6927), _u6928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6927, tc_HOL_Obool)), _u6929), _u6928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6926), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6927, _u6926), _u6930), _u6929)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6927, _u6926), _u6930), _u6928))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6926), c_Groups_Ozero__class_Ozero(_u6926)), hAPP(_u6930, skolem138(_u6930, _u6929, _u6928, _u6927, _u6926)))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u6931) | ~hBOOL(hAPP(hAPP(c_member(_u6931), _u6932), c_Int_Oring__1__class_OInts(_u6931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6931), c_Groups_Oone__class_Oone(_u6931)), _u6932)), _u6932)), c_Groups_Ozero__class_Ozero(_u6931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6931), _u6932), c_Groups_Ozero__class_Ozero(_u6931))) )).
% 12.17/12.38 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u6931) | ~hBOOL(hAPP(hAPP(c_member(_u6931), _u6932), c_Int_Oring__1__class_OInts(_u6931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6931), _u6932), c_Groups_Ozero__class_Ozero(_u6931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6931), c_Groups_Oone__class_Oone(_u6931)), _u6932)), _u6932)), c_Groups_Ozero__class_Ozero(_u6931))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 12.17/12.38 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, _u6933)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6934))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.38 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)), _u6935)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6935), _u6936) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6935 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.38 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)), _u6935)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6935), _u6936) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6936 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.38 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)), _u6935)) | ( _u6935 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6936 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6935), _u6936) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6937), _u6938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6939), _u6937)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6939), _u6938))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u6940) | hBOOL(hAPP(hAPP(c_member(_u6940), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6940), _u6941)), c_Int_Oring__1__class_OInts(_u6940))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6942)), _u6943) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6942), _u6943))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 12.17/12.38 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), _u6944), _u6945)), _u6946) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6945), _u6946))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6947), _u6948) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6948), _u6947)) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 12.17/12.38 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6949), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6950), _u6951)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6949), _u6950)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6949), _u6951))) )).
% 12.17/12.38
% 12.17/12.38 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 12.17/12.39 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), _u6952), _u6953)), _u6954) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6952), _u6954)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6953), _u6954))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 12.17/12.39 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), _u6955), _u6956)), _u6957) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6955), _u6957)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6956), _u6957))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6959), _u6960)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6958), _u6959)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6958), _u6960))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6961) = _u6961) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6962), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u6962) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u6963) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6963), _u6964) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6963), _u6965)) | ( _u6964 = _u6965) )).
% 12.17/12.39 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u6963) | ( _u6964 != _u6965) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6963), _u6964) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6963), _u6965)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 12.17/12.39 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), _u6968)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6970)))) | ( _u6968 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 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), _u6968)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6970)))) | ( _u6970 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_int__zle__neg-3, axiom, ( ( _u6969 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6971 != 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), _u6969)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6971)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 12.17/12.39 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), _u6973)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6973 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_int__le__0__conv-2, axiom, ( ( _u6974 != 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), _u6974)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6976) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6976 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u6977 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6977) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 12.17/12.39 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)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 12.17/12.39 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), _u6980)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6982)) | ( _u6980 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 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), _u6980)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6982)) | ( _u6982 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_negative__eq__positive-3, axiom, ( ( _u6981 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6983 != 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), _u6981)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6983)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6988), _u6990)) | ( _u6990 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6988), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem139(_u6990, _u6988))))) )).
% 12.17/12.39 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u6991 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6989), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u6985)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6989), _u6991)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u6992)) = 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), _u6992))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 12.17/12.39 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, _u6993)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 12.17/12.39 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, _u6994))))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u6997)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6997), _u6999)) )).
% 12.17/12.39 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6998), _u7000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6998)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7000))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7001)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7002)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7001), _u7002))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7003)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7004)), _u7005)) = 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), _u7003), _u7004))), _u7005)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7008)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7010))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7008), _u7010)) )).
% 12.17/12.39 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7009), _u7011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7009)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7011))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7012), _u7013)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7012)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7013))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7014)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7015)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7014), _u7015))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 12.17/12.39 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)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7016)), _u7017) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7016), _u7017))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__power ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7018), _u7019)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7018)), _u7019)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 12.17/12.39 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(_u7020, tc_Nat_Onat), _u7021), _u7022)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7020, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7020), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7021)), _u7022)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 12.17/12.39 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(_u7023, tc_Nat_Onat), _u7024), _u7025)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7023, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7023), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7024)), _u7025)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 12.17/12.39 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)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7026), _u7027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7028)) | 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), _u7028)), _u7026)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7028)), _u7027))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7030)) )).
% 12.17/12.39 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)), _u7031)) | 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), _u7031))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7032) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7032), c_Groups_Ozero__class_Ozero(_u7032)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7032), _u7033))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7034), c_Groups_Ozero__class_Ozero(_u7034)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7034), _u7035))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7036), _u7037)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7037)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7036)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7037), _u7036))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7038), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7038), _u7039)), c_Groups_Ozero__class_Ozero(_u7038))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u7040) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7040), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u7040)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7041) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7041), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7041), _u7042)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7041), _u7043))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7042), _u7043)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7045), _u7046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7044), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7044), _u7045)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7044), _u7046))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7047), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7047), _u7048)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7047), _u7049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7048), _u7049)) )).
% 12.17/12.39 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u7047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7048), _u7049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7047), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7047), _u7048)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7047), _u7049))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7050), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7050), _u7051)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7050), _u7052))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7051), _u7052)) )).
% 12.17/12.39 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u7050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7051), _u7052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7050), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7050), _u7051)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7050), _u7052))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u7053) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7053), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7054), _u7055)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7053), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7053), _u7054)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7053), _u7055))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u7056) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7057), _u7058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7056), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7056), _u7057)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7056), _u7058))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u7059) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7059), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u7059)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u7060) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7060), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7061), _u7062)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7060), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7060), _u7061)), _u7062)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u7063) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7063), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7064, tc_Nat_Onat), _u7065), _u7066)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7064, _u7063), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7063, _u7064), c_Nat_Osemiring__1__class_Oof__nat(_u7063)), _u7065)), _u7066)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u7067) | c_Fun_Oinj__on(tc_Nat_Onat, _u7067, c_Nat_Osemiring__1__class_Oof__nat(_u7067), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u7068) | hBOOL(hAPP(hAPP(c_member(_u7068), c_Groups_Ozero__class_Ozero(_u7068)), c_Int_Oring__1__class_OInts(_u7068))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u7069) | ~hBOOL(hAPP(hAPP(c_member(_u7069), _u7070), c_Int_Oring__1__class_OInts(_u7069))) | ~hBOOL(hAPP(hAPP(c_member(_u7069), _u7071), c_Int_Oring__1__class_OInts(_u7069))) | hBOOL(hAPP(hAPP(c_member(_u7069), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7069), _u7070), _u7071)), c_Int_Oring__1__class_OInts(_u7069))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u7072) | ~hBOOL(hAPP(hAPP(c_member(_u7072), _u7073), c_Int_Oring__1__class_OInts(_u7072))) | ~hBOOL(hAPP(hAPP(c_member(_u7072), _u7074), c_Int_Oring__1__class_OInts(_u7072))) | hBOOL(hAPP(hAPP(c_member(_u7072), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7072), _u7073), _u7074)), c_Int_Oring__1__class_OInts(_u7072))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u7075) | ~hBOOL(hAPP(hAPP(c_member(_u7075), _u7076), c_Int_Oring__1__class_OInts(_u7075))) | ~hBOOL(hAPP(hAPP(c_member(_u7075), _u7077), c_Int_Oring__1__class_OInts(_u7075))) | hBOOL(hAPP(hAPP(c_member(_u7075), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7075), _u7076), _u7077)), c_Int_Oring__1__class_OInts(_u7075))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u7078) | hBOOL(hAPP(hAPP(c_member(_u7078), c_Groups_Oone__class_Oone(_u7078)), c_Int_Oring__1__class_OInts(_u7078))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u7079) | ~hBOOL(hAPP(hAPP(c_member(_u7079), _u7080), c_Int_Oring__1__class_OInts(_u7079))) | hBOOL(hAPP(hAPP(c_member(_u7079), hAPP(c_Groups_Ouminus__class_Ouminus(_u7079), _u7080)), c_Int_Oring__1__class_OInts(_u7079))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u7081) | ~hBOOL(hAPP(hAPP(c_member(_u7081), _u7082), c_Int_Oring__1__class_OInts(_u7081))) | hBOOL(hAPP(hAPP(c_member(_u7081), hAPP(hAPP(c_Power_Opower__class_Opower(_u7081), _u7082), _u7083)), c_Int_Oring__1__class_OInts(_u7081))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7084) | ~class_Rings_Osemiring__1(_u7084) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7084), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7085, tc_Nat_Onat), _u7086), _u7087)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7085, _u7084), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7084, _u7085), c_Nat_Osemiring__1__class_Oof__nat(_u7084)), _u7086)), _u7087)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u7088) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7088), hAPP(c_Nat_OSuc, _u7089)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7088), c_Groups_Oone__class_Oone(_u7088)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7088), _u7089))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u7090) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7091), _u7092)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7090), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7092), _u7091)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7090), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7090), _u7092)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7090), _u7091))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u7093) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7094, _u7093), hAPP(c_COMBK(_u7093, _u7094), _u7095)), _u7096) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7093), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7093), hAPP(c_Finite__Set_Ocard(_u7094), _u7096))), _u7095)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7097), c_Groups_Ozero__class_Ozero(_u7097)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7097), _u7098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7098)) )).
% 12.17/12.39 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u7097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7097), c_Groups_Ozero__class_Ozero(_u7097)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7097), _u7098))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7099) | ~hBOOL(hAPP(hAPP(c_member(_u7099), _u7100), c_Int_Oring__1__class_OInts(_u7099))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7099), _u7100), _u7100) != c_Groups_Ozero__class_Ozero(_u7099)) | ( _u7100 = c_Groups_Ozero__class_Ozero(_u7099)) )).
% 12.17/12.39 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7099) | ~hBOOL(hAPP(hAPP(c_member(_u7099), _u7100), c_Int_Oring__1__class_OInts(_u7099))) | ( _u7100 != c_Groups_Ozero__class_Ozero(_u7099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7099), _u7100), _u7100) = c_Groups_Ozero__class_Ozero(_u7099)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u7101) | ~hBOOL(hAPP(hAPP(c_member(_u7101), _u7102), c_Int_Oring__1__class_OInts(_u7101))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7101), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7101), c_Groups_Oone__class_Oone(_u7101)), _u7102)), _u7102) != c_Groups_Ozero__class_Ozero(_u7101)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u7103) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7103), _u7104) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7103, hAPP(hAPP(c_COMBC(_u7103, _u7103, _u7103), c_Groups_Oplus__class_Oplus(_u7103)), c_Groups_Oone__class_Oone(_u7103)), _u7104, c_Groups_Ozero__class_Ozero(_u7103))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u7108, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7110), _u7112)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7112), _u7110)) | hBOOL(hAPP(_u7108, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7110)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7112)))) )).
% 12.17/12.39 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u7108, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7110), _u7112)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7110), _u7112)) | hBOOL(hAPP(_u7108, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u7109, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7111), _u7113)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7113), _u7111)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7111), _u7113)) )).
% 12.17/12.39 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u7109, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7111), _u7113)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7113), _u7111)) | ~hBOOL(hAPP(_u7109, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u7109, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7111), _u7113)))) | ~hBOOL(hAPP(_u7109, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7111)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7113)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7111), _u7113)) )).
% 12.17/12.39 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u7109, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7111), _u7113)))) | ~hBOOL(hAPP(_u7109, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7111)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7113)))) | ~hBOOL(hAPP(_u7109, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7114)), _u7115) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7114), _u7115))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u7117) | ~class_Rings_Osemiring__1(_u7117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7117), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7118, _u7117), _u7120), _u7119)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7117), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7117), hAPP(c_Finite__Set_Ocard(_u7118), _u7119))), _u7121))) | hBOOL(hAPP(hAPP(c_member(_u7118), skolem140(_u7121, _u7120, _u7119, _u7118, _u7117)), _u7119)) )).
% 12.17/12.39 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u7117) | ~class_Rings_Osemiring__1(_u7117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7117), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7118, _u7117), _u7120), _u7119)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7117), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7117), hAPP(c_Finite__Set_Ocard(_u7118), _u7119))), _u7121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7117), hAPP(_u7120, skolem140(_u7121, _u7120, _u7119, _u7118, _u7117))), _u7121)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7122)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7123)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7122), _u7123))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7127), _u7129)) | ( 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)), _u7127)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7131), _u7129)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7131), _u7127)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7129), _u7127))) )).
% 12.17/12.39 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7128), _u7130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7132), _u7130)) | ( 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)), _u7128)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7132), _u7130)) = 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)))) )).
% 12.17/12.39 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7128), _u7130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7132), _u7130)) | ( 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)), _u7128)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7132), _u7130)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7133), _u7134))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7135))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7136))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7142), _u7144)) | ( _u7144 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7142), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem141(_u7144, _u7142)))) )).
% 12.17/12.39 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u7145 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7143), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7143), _u7145)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u7151, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7147))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem142(_u7151))) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u7151, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7147))) | ~hBOOL(hAPP(_u7151, skolem142(_u7151))) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u7152, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem143(_u7152)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7149)) | hBOOL(hAPP(_u7152, _u7149)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7153)) | ~hBOOL(hAPP(_u7158, _u7153)) | hBOOL(hAPP(_u7158, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem144(_u7158)))) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u7159, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7155))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem145(_u7159))) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u7159, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7155))) | hBOOL(hAPP(_u7159, skolem145(_u7159))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7160))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7161))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7162))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7165) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7167)) | ( _u7165 = _u7167) )).
% 12.17/12.39 cnf(fact_int__int__eq-2, axiom, ( ( _u7166 != _u7168) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7166) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7168)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7169)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7170)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7173) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7175)) | ( _u7173 = _u7175) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u7174 != _u7176) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7174) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7176)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7179), _u7181)) | 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)), _u7179)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7181))) )).
% 12.17/12.39 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)), _u7180)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7180), _u7182)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7185), _u7187)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7185)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7187))) )).
% 12.17/12.39 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), _u7186)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7188))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7186), _u7188)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u7191 != _u7193) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7191) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7193)) )).
% 12.17/12.39 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)), _u7192) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7194)) | ( _u7192 = _u7194) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7197), _u7199)) | 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)), _u7197)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7199))) )).
% 12.17/12.39 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)), _u7198)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7198), _u7200)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7203), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7205), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7203), _u7205)) | ( _u7203 = _u7205) )).
% 12.17/12.39 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7204), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7206), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7204), _u7206)) )).
% 12.17/12.39 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7204), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7206), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u7204 != _u7206) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7207), _u7208)) | ( _u7207 = _u7208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7208), _u7207)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7209)) = _u7209) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7210), _u7211) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7211), _u7210)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7212), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7213), _u7214)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7212), _u7214))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7215), _u7216)), _u7217) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7215), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7216), _u7217))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7218), _u7219) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7218), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7219))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7220), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7221)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7220), _u7221)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7222), _u7223)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7222)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7223))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7224), _u7225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7224), _u7226)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7225), _u7226))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7227), _u7228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7229), _u7230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7227), _u7229)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7228), _u7230))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7233), _u7235)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7233), _u7235)) )).
% 12.17/12.39 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7233), _u7235)) | ( _u7233 != _u7235) )).
% 12.17/12.39 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7234), _u7236)) | ( _u7234 = _u7236) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7234), _u7236)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7237)), _u7237) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7238), _u7238)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7239), _u7240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7240), _u7239)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7242)) | 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), _u7241), _u7242))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7243), _u7244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7245), _u7243)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7245), _u7244))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7246), _u7247)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7247), _u7248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7246), _u7248)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7249), _u7250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7250), _u7249)) | ( _u7249 = _u7250) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7251), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u7251) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7252) = _u7252) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 12.17/12.39 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)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7255), _u7257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7255), _u7257)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 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), _u7256), _u7258)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7256), _u7258)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7259)), _u7259) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7262), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7264), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7262), _u7264)) )).
% 12.17/12.39 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7263), _u7265)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7263), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7265), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7267)) )).
% 12.17/12.39 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)), _u7268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7268)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7271), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7273), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7271), _u7273)) )).
% 12.17/12.39 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7272), _u7274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7272), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7274), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7277), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7277), _u7279)) )).
% 12.17/12.39 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7278), _u7280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7278), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7280)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7281)) | 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)), _u7281))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7282), _u7283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7282), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7283)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7285)), _u7285)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7285), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7286), 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)), _u7286)), _u7286)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u7287) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7287, _u7288), _u7289) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7287, _u7290), _u7291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7287), _u7288), _u7289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7287), _u7290), _u7291)) | ( _u7289 = _u7291) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u7292) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7292, _u7293), _u7294) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7292, _u7295), _u7296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7292), _u7293), _u7294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7292), _u7295), _u7296)) | ( _u7293 = _u7295) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7298), _u7299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7300), _u7301)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7298), _u7299) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7300), _u7301)) | ( _u7298 = _u7300) )).
% 12.17/12.39 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7298), _u7299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7300), _u7301)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7298), _u7299) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7300), _u7301)) | ( _u7299 = _u7301) )).
% 12.17/12.39 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7298), _u7299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7300), _u7301)) | ( _u7298 != _u7300) | ( _u7299 != _u7301) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7298), _u7299) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7300), _u7301)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7302), _u7303)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7302), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7303), _u7304)) = 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, _u7302), _u7303)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7303), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7303), _u7304)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7305), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7306) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7306)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7307), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7308), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7308), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7307))))) | ( _u7307 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7308), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7308), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7307)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7309), _u7310)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7310), _u7309)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 12.17/12.39 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, _u7311), _u7312)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7311)), hAPP(c_Nat_OSuc, _u7312))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u7313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7313), _u7314), _u7315)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7313, _u7315), _u7314) = c_Orderings_Obot__class_Obot(tc_fun(_u7313, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u7316) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7316, _u7317), _u7318) != c_Orderings_Obot__class_Obot(tc_fun(_u7316, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7316), _u7317), _u7318)) )).
% 12.17/12.39 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u7316) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7316), _u7317), _u7318)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7316, _u7317), _u7318) = c_Orderings_Obot__class_Obot(tc_fun(_u7316, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u7319) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7319, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7319, _u7320), _u7321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7319), _u7320), _u7321)) )).
% 12.17/12.39 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u7319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7319), _u7320), _u7321)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7319, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7319, _u7320), _u7321)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7322, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7322, _u7323), _u7324)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7322, _u7325), _u7326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7324), _u7323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7325), _u7323)) )).
% 12.17/12.39 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7322, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7322, _u7323), _u7324)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7322, _u7325), _u7326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7324), _u7323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7324), _u7326)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7327) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7327), _u7328), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7329)), hAPP(c_Nat_OSuc, _u7330))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7327), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7327, tc_Nat_Onat), _u7328), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7329), _u7330))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u7331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7331), _u7332), _u7333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7331), _u7333), _u7334)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7331, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7331, _u7332), _u7333)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7331, _u7333), _u7334)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7331, _u7332), _u7334)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7335) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7335), _u7336), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7337), _u7338)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7338))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7335), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7335, tc_Nat_Onat), _u7336), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7338))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7337), _u7339))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u7340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7340), _u7341), _u7342)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7340, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7340, _u7341), _u7343)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7340, _u7341), _u7342)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7340, _u7342), _u7343)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u7344) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7344, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7344, _u7345), _u7346)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7344, _u7346), _u7347)) = c_Orderings_Obot__class_Obot(tc_fun(_u7344, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7348)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7349), _u7350)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7349), _u7348)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7350), _u7348))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7352), _u7353)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7353), _u7354)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7351), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7351), _u7355), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7352), _u7353))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7351), _u7355), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7353), _u7354))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7351), _u7355), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7352), _u7354))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u7356) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7357), _u7358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7358), _u7359)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7356), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7356), _u7360), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7357), _u7359))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7356), _u7360), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7357), _u7358))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7356), _u7360), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7358), _u7359))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u7361) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7361, _u7362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7363) = _u7363) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u7364) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7364, _u7365, hAPP(c_Nat_OSuc, _u7366), _u7367) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7364, _u7365, _u7366, hAPP(_u7365, _u7367))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7368), hAPP(c_Nat_OSuc, _u7368)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7368), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7371)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7373))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7371), _u7373)) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7372), _u7374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7372)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7374))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7375)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7376)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7375), _u7376))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7379)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7379), _u7381)) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7380), _u7382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7380)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7382))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7384)) | 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), _u7383), _u7384))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7385, 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(_u7385, tc_HOL_Obool)), tc_fun(_u7385, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u7385, tc_HOL_Obool)), tc_fun(_u7385, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7385, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u7386)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7385, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7386)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u7387) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7387, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7387, _u7388), _u7389)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7387, _u7390), _u7391)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7387, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7387), _u7388), _u7390)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7387), _u7389), _u7391))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u7392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7392), _u7393), _u7394)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7392, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7392), _u7393)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7392, _u7393), _u7394)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7392), _u7394)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u7395) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7395, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7395), _u7396)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7395, _u7396), _u7397)) = c_Orderings_Obot__class_Obot(tc_fun(_u7395, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7398) | ( hAPP(_u7399, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u7398)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7398), _u7399), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7400)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7398), _u7399), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7400))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7402), _u7403)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7401), _u7404), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7402), _u7403)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7401), hAPP(_u7404, _u7402)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7401), _u7404), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7402)), _u7403)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7405)) | 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), _u7405), _u7406))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7409), _u7411)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7409), hAPP(c_Nat_OSuc, _u7411)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7411), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7409), _u7411))) )).
% 12.17/12.39 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7410), _u7412)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7410), hAPP(c_Nat_OSuc, _u7412)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7413) = 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)), _u7413))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u7415)) | 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)), _u7415))) )).
% 12.17/12.39 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)), _u7416))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u7416)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7418), _u7419)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7417), _u7420), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7419), hAPP(c_Nat_OSuc, _u7418))) = c_Groups_Ozero__class_Ozero(_u7417)) )).
% 12.17/12.39 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7417) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7418), _u7419)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7417), _u7420), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7419), hAPP(c_Nat_OSuc, _u7418))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7417), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7417), _u7420), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7419), _u7418))), hAPP(_u7420, _u7418))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7421)) | ( _u7421 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7421), _u7423))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7423), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7424)) | ( _u7424 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7425), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7424), _u7426))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7425), _u7424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7426)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7427), _u7428)), _u7429))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7429), _u7427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7428)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7430), _u7431)), _u7432)), 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)), _u7432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7431), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7433), _u7434)), _u7435)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7433), _u7436)), _u7437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7435), _u7433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7437), _u7433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7434), _u7436)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7438), _u7439)), _u7440) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7441), _u7442)), _u7443)) | ~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), _u7441), _u7442)), _u7443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7443), _u7441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7441), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7439), _u7442)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.17/12.39 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, _u7444), _u7445))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 12.17/12.39 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)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7446))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7447)), 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), _u7448), _u7447))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7447), _u7448)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7449), _u7450)), _u7451) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7452), _u7453)), _u7454)) | ~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), _u7452), _u7453)), _u7454)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7451), _u7449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7452), _u7449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7453), _u7450)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7455), _u7456)), _u7457)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7455), _u7458)), _u7459))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7459), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7455), _u7459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7455), _u7457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7458), _u7456)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7461), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7466))) | hBOOL(hAPP(_u7468, _u7461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem146(_u7468, _u7466)), _u7466)) )).
% 12.17/12.39 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7461), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7466))) | hBOOL(hAPP(_u7468, _u7461)) | ~hBOOL(hAPP(_u7468, skolem146(_u7468, _u7466))) )).
% 12.17/12.39 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7463), _u7467)) | hBOOL(hAPP(_u7469, _u7463)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem147(_u7469, _u7467)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7467))) )).
% 12.17/12.39 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7463), _u7467)) | hBOOL(hAPP(_u7469, _u7463)) | ~hBOOL(hAPP(_u7469, skolem147(_u7469, _u7467))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7470), _u7476)) | ~hBOOL(hAPP(_u7478, _u7470)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem148(_u7478, _u7476)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7476))) )).
% 12.17/12.39 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7470), _u7476)) | ~hBOOL(hAPP(_u7478, _u7470)) | hBOOL(hAPP(_u7478, skolem148(_u7478, _u7476))) )).
% 12.17/12.39 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7472), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7477))) | ~hBOOL(hAPP(_u7479, _u7472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem149(_u7479, _u7477)), _u7477)) )).
% 12.17/12.39 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7472), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7477))) | ~hBOOL(hAPP(_u7479, _u7472)) | hBOOL(hAPP(_u7479, skolem149(_u7479, _u7477))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7481, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7481, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem150(_u7484, _u7483, _u7482, _u7481))), _u7482)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7481, 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), skolem150(_u7484, _u7483, _u7482, _u7481)), _u7483))), _u7484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7481, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7481, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7482)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7481, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7484))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7486, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem151(_u7489, _u7488, _u7487, _u7486))), _u7487) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7486, 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), skolem151(_u7489, _u7488, _u7487, _u7486)), _u7488))), _u7489)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7486, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7487) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7486, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7489)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7491, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem152(_u7493, _u7492, _u7491))), _u7492)), _u7493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7491, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7492)), _u7493)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7496), _u7498)) | ( c_Nat__Transfer_Otsub(_u7498, _u7496) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7498), _u7496)) )).
% 12.17/12.39 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7497), _u7499)) | ( c_Nat__Transfer_Otsub(_u7499, _u7497) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u7500) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7500), _u7501), _u7502)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7500, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7500), _u7501), c_Orderings_Obot__class_Obot(tc_fun(_u7500, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7500, _u7501, _u7502)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7500, _u7501), _u7502)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7504)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7504), _u7503)), _u7504) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7504), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7503), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u7506, _u7507, _u7508, _u7509) | ~hBOOL(hAPP(hAPP(c_member(_u7510), _u7513), _u7511)) | ( hAPP(c_Set_Oimage(_u7506, _u7507, _u7508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u7510, tc_fun(_u7506, tc_HOL_Obool)), _u7511), _u7512)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u7510, tc_fun(_u7507, tc_HOL_Obool)), _u7511), hAPP(hAPP(c_COMBB(tc_fun(_u7506, tc_HOL_Obool), tc_fun(_u7507, tc_HOL_Obool), _u7510), c_Set_Oimage(_u7506, _u7507, _u7508)), _u7512))) | hBOOL(hAPP(hAPP(c_member(_u7510), skolem153(_u7513, _u7512, _u7511, _u7510, _u7509, _u7508, _u7507, _u7506)), _u7511)) )).
% 12.17/12.39 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u7506, _u7507, _u7508, _u7509) | ~hBOOL(hAPP(hAPP(c_member(_u7510), _u7513), _u7511)) | ( hAPP(c_Set_Oimage(_u7506, _u7507, _u7508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u7510, tc_fun(_u7506, tc_HOL_Obool)), _u7511), _u7512)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u7510, tc_fun(_u7507, tc_HOL_Obool)), _u7511), hAPP(hAPP(c_COMBB(tc_fun(_u7506, tc_HOL_Obool), tc_fun(_u7507, tc_HOL_Obool), _u7510), c_Set_Oimage(_u7506, _u7507, _u7508)), _u7512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7506, tc_HOL_Obool)), hAPP(_u7512, skolem153(_u7513, _u7512, _u7511, _u7510, _u7509, _u7508, _u7507, _u7506))), _u7509)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_com_Osize_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_com_Osize_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u7514, _u7515)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u7514)), c_Com_Ocom_Ocom__size(_u7515))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7516, _u7517))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7518, _u7519))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7520) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7521)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7522)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7521), _u7522)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7523), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7524)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7523)), _u7524)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7525) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7525), _u7526), c_Groups_Ozero__class_Ozero(_u7525)) = c_Groups_Ozero__class_Ozero(_u7525)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7527) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7527), c_Groups_Ozero__class_Ozero(_u7527)), _u7528) = c_Groups_Ozero__class_Ozero(_u7527)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u7529) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7529), _u7530), c_Groups_Oone__class_Oone(_u7529)) = _u7530) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7532)) | 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), _u7531), _u7532))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7533), 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)), _u7534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7533), _u7534)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7535), 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), _u7536), _u7535)), 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)), _u7536)) )).
% 12.17/12.39 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7535), 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)), _u7536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7536), _u7535)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7538), _u7537)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7538), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 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)), _u7537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7538), 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), _u7538), _u7537)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zdiv__self-1, axiom, ( ( _u7539 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7539), _u7539) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u7540) | ( _u7541 != c_Groups_Ozero__class_Ozero(_u7540)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7540), _u7541), _u7542)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7540), _u7541), _u7543)) = c_Groups_Ozero__class_Ozero(_u7540)) )).
% 12.17/12.39 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u7540) | ( _u7541 = c_Groups_Ozero__class_Ozero(_u7540)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7540), _u7541), _u7542)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7540), _u7541), _u7543)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7540), _u7542), _u7543)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u7544) | ( _u7545 = c_Groups_Ozero__class_Ozero(_u7544)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7546), _u7545)), _u7545) = _u7546) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u7547) | ( _u7548 = c_Groups_Ozero__class_Ozero(_u7547)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7547), _u7548), _u7549)), _u7548) = _u7549) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u7550) | ( _u7551 = c_Groups_Ozero__class_Ozero(_u7550)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7550), _u7552), _u7551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7550), _u7553), _u7551)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7550), _u7552), _u7553)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u7554) | ( _u7555 = c_Groups_Ozero__class_Ozero(_u7554)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7554), _u7555), _u7556)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7554), _u7555), _u7557)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7554), _u7556), _u7557)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__self ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u7558) | ( _u7559 = c_Groups_Ozero__class_Ozero(_u7558)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7558), _u7559), _u7559) = c_Groups_Oone__class_Oone(_u7558)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u7560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7560), _u7561), _u7562)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u7560, _u7562, _u7561) = c_Orderings_Obot__class_Obot(tc_fun(_u7560, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7565), _u7567) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7567 = 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)), _u7565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7565), _u7567) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7567 = 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)), _u7565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7567), _u7565)) )).
% 12.17/12.39 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7565), _u7567) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7567 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7565), _u7567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7565), _u7567) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7567 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7565), _u7567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7567), _u7565)) )).
% 12.17/12.39 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7566), _u7568) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7568 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7566), _u7568) = 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)), _u7566)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7566), _u7568)) )).
% 12.17/12.39 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7566), _u7568) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7566), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7568), _u7566)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7569)) | ~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), _u7570), _u7569))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7570)) )).
% 12.17/12.39 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)), _u7569)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7570)) | 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), _u7570), _u7569))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7571)) | ~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), _u7572), _u7571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7571), _u7572)) )).
% 12.17/12.39 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)), _u7571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7571), _u7572)) | 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), _u7572), _u7571))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7573)) | ~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), _u7573), _u7574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7574), _u7573)) )).
% 12.17/12.39 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)), _u7573)) | ~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), _u7573), _u7574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7574)) )).
% 12.17/12.39 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)), _u7573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7574), _u7573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7574)) | 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), _u7573), _u7574))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7576), _u7577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7575), _u7577)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7575), _u7576))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7578)) | ~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__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7578), _u7579)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7580), _u7581)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7580), _u7581) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7582), 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), _u7583), _u7582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7582), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7583), 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), _u7583), _u7582))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7584), 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)), _u7585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7584), _u7585)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7586), 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)), _u7587)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7587), _u7588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7586), _u7587)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7586), _u7588))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7589), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7590), _u7589)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7589), _u7590) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7591), _u7592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7591), _u7593)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7592), _u7593))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7594), _u7595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7596), 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), _u7595), _u7596)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7594), _u7596))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7597)), _u7598) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7597, _u7598)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7599) | ( hAPP(c_Set_Oimage(_u7599, _u7599, c_Groups_Ouminus__class_Ouminus(_u7599)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7599, _u7600, _u7601)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7599, hAPP(c_Groups_Ouminus__class_Ouminus(_u7599), _u7601), hAPP(c_Groups_Ouminus__class_Ouminus(_u7599), _u7600))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7602), _u7603)), _u7602)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7604)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7606), _u7604)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7605), _u7606)), _u7604)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u7607) | ( _u7608 = c_Groups_Ozero__class_Ozero(_u7607)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7607), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7607), _u7609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7607), _u7608), _u7610))), _u7608) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7607), _u7610), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7607), _u7609), _u7608))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u7611) | ( _u7612 = c_Groups_Ozero__class_Ozero(_u7611)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7611), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7611), _u7613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7611), _u7614), _u7612))), _u7612) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7611), _u7614), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7611), _u7613), _u7612))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u7615) | ( _u7616 = c_Groups_Ozero__class_Ozero(_u7615)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7615), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), _u7617), _u7616)), _u7616) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7615), _u7617), _u7616)), c_Groups_Oone__class_Oone(_u7615))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u7618) | ( _u7619 = c_Groups_Ozero__class_Ozero(_u7618)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7618), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7618), _u7619), _u7620)), _u7619) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7618), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7618), _u7620), _u7619)), c_Groups_Oone__class_Oone(_u7618))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_com_Osize_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_com_Osize_I1_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u7621) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7621, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7621, _u7622, _u7623)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7621, _u7623), _u7624)) = c_Orderings_Obot__class_Obot(tc_fun(_u7621, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u7625) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7625, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7625, _u7626, _u7627)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7625, _u7628, _u7629)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7625, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7625), _u7626), _u7628), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7625), _u7627), _u7629))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7630, _u7631)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7631), hAPP(c_Nat_OSuc, _u7630))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7632), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7633) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7632, _u7633)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u7645, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7647), _u7649))) | ( _u7649 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u7645, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u7645, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7647), _u7649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7634)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7634), _u7649)) | ( _u7647 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7649), _u7635)), _u7634)) | hBOOL(hAPP(_u7645, _u7635)) )).
% 12.17/12.39 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u7645, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7647), _u7649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7649), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7649), _u7636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7636), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7647 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7649), _u7637)), _u7636)) | hBOOL(hAPP(_u7645, _u7637)) )).
% 12.17/12.39 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.17/12.39 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.17/12.39 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u7651 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7652), _u7653)), _u7654)) | ( _u7652 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7651), _u7652) = _u7653) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7652), _u7654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7654), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u7651 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7652), _u7653)), _u7654)) | ( _u7652 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7651), _u7652) = _u7653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7654), _u7652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7652)) )).
% 12.17/12.39 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u7651 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7652), _u7653)), _u7654)) | ( _u7652 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7651), _u7652) = _u7653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7654), _u7652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7652), _u7654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7654), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u7655, _u7656))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7657), _u7658)) | ( c_Nat__Transfer_Otsub(_u7658, _u7657) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7658), _u7657)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7659), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7660)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7659), _u7660))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u7661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7661), _u7662), _u7663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7663), _u7664)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7661, _u7662, _u7663)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7661, _u7663), _u7664)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7661, _u7662, _u7664)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_com_Osize_I6_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_com_Osize_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u7665, _u7666)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u7666)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7669)) | ( c_SMT_Oz3div(_u7671, _u7669) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7671), _u7669)) )).
% 12.17/12.39 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)), _u7670)) | ( c_SMT_Oz3div(_u7672, _u7670) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7672), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7670)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u7673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7673), _u7674), _u7675)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7673, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7673, _u7674, _u7675)), hAPP(hAPP(c_Set_Oinsert(_u7673), _u7675), c_Orderings_Obot__class_Obot(tc_fun(_u7673, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7673, _u7674, _u7675)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7676, tc_HOL_Obool)), _u7677), _u7678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7676, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u7676, _u7677)), c_Predicate_OPowp(_u7676, _u7678))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7683), _u7685)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7689)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7683, _u7687)), c_Sum__Type_OPlus(_u7683, _u7687, _u7685, _u7689)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7683), _u7685)), hAPP(c_Finite__Set_Ocard(_u7687), _u7689))) )).
% 12.17/12.39 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7684, _u7688)), c_Sum__Type_OPlus(_u7684, _u7688, _u7686, _u7690)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7684), _u7686)) )).
% 12.17/12.39 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7684, _u7688)), c_Sum__Type_OPlus(_u7684, _u7688, _u7686, _u7690)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7688), _u7690)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_com_Osize_I12_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_com_Osize_I12_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u7691, _u7692)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7691)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7692))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7693, _u7694))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7695, _u7696))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7698), _u7699)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7697), _u7698)), _u7699)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7700), _u7701)), _u7700)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7702), _u7703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7702), _u7704)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7703), _u7704))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7705), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u7705) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__less ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7706), _u7707)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7706), _u7707) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u7711 != 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), _u7711), _u7713)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7711), _u7715)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u7712 = 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), _u7712), _u7714)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7712), _u7716)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7714), _u7716)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7717), _u7718)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7717)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7718))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7719)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7720)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7719), _u7720))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u7721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7721), _u7722), _u7723)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u7721, _u7723, _u7722) = c_Orderings_Obot__class_Obot(tc_fun(_u7721, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u7724) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u7724, _u7725, _u7726) != c_Orderings_Obot__class_Obot(tc_fun(_u7724, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7724), _u7725), _u7726)) )).
% 12.17/12.39 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u7724) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7724), _u7725), _u7726)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u7724, _u7725, _u7726) = c_Orderings_Obot__class_Obot(tc_fun(_u7724, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u7727) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7727, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u7727, _u7728, _u7729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7727), _u7728), _u7729)) )).
% 12.17/12.39 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u7727) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7727), _u7728), _u7729)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7727, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7727, _u7728, _u7729)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u7730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7730), _u7731), _u7732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7730), _u7732), _u7733)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7730, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7730, _u7731, _u7732)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7730, _u7732, _u7733)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7730, _u7731, _u7733)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u7734) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7734, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7734, _u7735, _u7736)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7734, _u7736, _u7737)) = c_Orderings_Obot__class_Obot(tc_fun(_u7734, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7738), _u7739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7740), _u7739)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7740), _u7738))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7741)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7741), _u7742)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7741), _u7743)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7742), _u7743)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7744)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7744), _u7745)), _u7744) = _u7745) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7746)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7747), _u7746)), _u7746) = _u7747) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7749), _u7748)), _u7749)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7750, _u7751)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7751), _u7750)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_com_Osize_I9_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_com_Osize_I9_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7753), _u7752)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7753), _u7752) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7753), _u7752)), _u7752))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_div__if ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7755), _u7754)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7755), _u7754) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 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)), _u7754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7755), _u7754)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7755), _u7754) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7755), _u7754)), _u7754))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_split__div ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u7763, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7765), _u7767))) | ( _u7767 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7763, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.39 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u7763, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7765), _u7767))) | ( _u7767 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7756), _u7767)) | ( _u7765 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7767), _u7757)), _u7756)) | hBOOL(hAPP(_u7763, _u7757)) )).
% 12.17/12.39 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ( _u7768 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem159(_u7768, _u7766, _u7764)), _u7768)) )).
% 12.17/12.39 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ( _u7768 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7766 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7768), skolem158(_u7768, _u7766, _u7764))), skolem159(_u7768, _u7766, _u7764))) )).
% 12.17/12.39 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ( _u7768 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7764, skolem158(_u7768, _u7766, _u7764))) )).
% 12.17/12.39 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ~hBOOL(hAPP(_u7764, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7768 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ~hBOOL(hAPP(_u7764, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem159(_u7768, _u7766, _u7764)), _u7768)) )).
% 12.17/12.39 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ~hBOOL(hAPP(_u7764, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7766 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7768), skolem158(_u7768, _u7766, _u7764))), skolem159(_u7768, _u7766, _u7764))) )).
% 12.17/12.39 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ~hBOOL(hAPP(_u7764, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7764, skolem158(_u7768, _u7766, _u7764))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u7769) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7769, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7769, _u7770, _u7771)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7769, _u7772, _u7773)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7769, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7769), _u7770), _u7772), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7769), _u7771), _u7773))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7774) | ( hAPP(c_Set_Oimage(_u7774, _u7774, c_Groups_Ouminus__class_Ouminus(_u7774)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7774, _u7775), _u7776)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7774, hAPP(c_Groups_Ouminus__class_Ouminus(_u7774), _u7776), hAPP(c_Groups_Ouminus__class_Ouminus(_u7774), _u7775))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7777) | ( hAPP(c_Set_Oimage(_u7777, _u7777, c_Groups_Ouminus__class_Ouminus(_u7777)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7777, _u7778, _u7779)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7777, hAPP(c_Groups_Ouminus__class_Ouminus(_u7777), _u7779)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7777), _u7778))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u7780) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7780, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7780, _u7781, _u7782)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7780, _u7782, _u7783)) = c_Orderings_Obot__class_Obot(tc_fun(_u7780, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7788, _u7790)), c_Sum__Type_OPlus(_u7788, _u7790, _u7792, _u7794))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7788), _u7792)) )).
% 12.17/12.39 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7788, _u7790)), c_Sum__Type_OPlus(_u7788, _u7790, _u7792, _u7794))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7790), _u7794)) )).
% 12.17/12.39 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7789), _u7793)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7791), _u7795)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7789, _u7791)), c_Sum__Type_OPlus(_u7789, _u7791, _u7793, _u7795))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7796), _u7797)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7798), _u7799)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7796, _u7798)), c_Sum__Type_OPlus(_u7796, _u7798, _u7797, _u7799))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7800, _u7801)), c_Sum__Type_OPlus(_u7800, _u7801, _u7802, _u7803))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7800), _u7802)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7805), _u7807)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7804, _u7805)), c_Sum__Type_OPlus(_u7804, _u7805, _u7806, _u7807))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7808), _u7809)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7809), _u7808) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7809), _u7808)), _u7808))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | ( _u7819 = 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), _u7819), skolem160(_u7819, _u7817, _u7815))), _u7817)) )).
% 12.17/12.39 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | ( _u7819 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7819), hAPP(c_Nat_OSuc, skolem160(_u7819, _u7817, _u7815))))) )).
% 12.17/12.39 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | ( _u7819 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7815, skolem160(_u7819, _u7817, _u7815))) )).
% 12.17/12.39 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | hBOOL(hAPP(_u7815, 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), _u7819), skolem160(_u7819, _u7817, _u7815))), _u7817)) )).
% 12.17/12.39 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | hBOOL(hAPP(_u7815, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7819), hAPP(c_Nat_OSuc, skolem160(_u7819, _u7817, _u7815))))) )).
% 12.17/12.39 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | hBOOL(hAPP(_u7815, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u7815, skolem160(_u7819, _u7817, _u7815))) )).
% 12.17/12.39 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u7816, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7818), _u7820))) | ( _u7820 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7816, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.39 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u7816, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7818), _u7820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7820), _u7811)), _u7818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7820), hAPP(c_Nat_OSuc, _u7811)))) | ~hBOOL(hAPP(_u7816, _u7811)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7821), _u7822)), _u7823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7821), hAPP(c_Nat_OSuc, _u7822)))) | ( _u7822 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7823), _u7821)) )).
% 12.17/12.39 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)), _u7821)) | ( _u7822 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7823), _u7821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7821), _u7822)), _u7823)) )).
% 12.17/12.39 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)), _u7821)) | ( _u7822 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7823), _u7821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7821), hAPP(c_Nat_OSuc, _u7822)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7824), _u7825)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7826), _u7827)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7824, _u7826)), c_Sum__Type_OPlus(_u7824, _u7826, _u7825, _u7827)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7824), _u7825)), hAPP(c_Finite__Set_Ocard(_u7826), _u7827))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u7828) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7828), _u7829), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7828), _u7830), _u7831)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7828, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7828, _u7829, _u7830)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7828, _u7830, _u7831)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7828, _u7829, _u7831)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_com_Osize_I14_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_com_Osize_I14_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u7832, _u7833)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7833)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u7834, _u7835, c_Orderings_Otop__class_Otop(tc_fun(_u7834, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7835, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7834, _u7835), tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u7840, _u7842, _u7844, _u7846) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7840, _u7842), tc_HOL_Obool))) | ( _u7844 = c_Orderings_Obot__class_Obot(tc_fun(_u7840, tc_HOL_Obool))) )).
% 12.17/12.39 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u7840, _u7842, _u7844, _u7846) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7840, _u7842), tc_HOL_Obool))) | ( _u7846 = c_Orderings_Obot__class_Obot(tc_fun(_u7842, tc_HOL_Obool))) )).
% 12.17/12.39 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u7845 != c_Orderings_Obot__class_Obot(tc_fun(_u7841, tc_HOL_Obool))) | ( _u7847 != c_Orderings_Obot__class_Obot(tc_fun(_u7843, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u7841, _u7843, _u7845, _u7847) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7841, _u7843), tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u7848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7849), _u7850)) | ( hAPP(_u7851, _u7852) = c_Groups_Ozero__class_Ozero(_u7848)) | ~hBOOL(hAPP(hAPP(c_member(_u7849), _u7852), _u7850)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7849, _u7848), _u7851), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7849, tc_HOL_Obool)), _u7850), hAPP(hAPP(c_Set_Oinsert(_u7849), _u7852), c_Orderings_Obot__class_Obot(tc_fun(_u7849, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7848), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7849, _u7848), _u7851), _u7850)), hAPP(_u7851, _u7852))) )).
% 12.17/12.39 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u7848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7849), _u7850)) | ( hAPP(_u7851, _u7852) = c_Groups_Ozero__class_Ozero(_u7848)) | hBOOL(hAPP(hAPP(c_member(_u7849), _u7852), _u7850)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7849, _u7848), _u7851), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7849, tc_HOL_Obool)), _u7850), hAPP(hAPP(c_Set_Oinsert(_u7849), _u7852), c_Orderings_Obot__class_Obot(tc_fun(_u7849, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7849, _u7848), _u7851), _u7850)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7853)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7853) = 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, _u7853)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7856), _u7857)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7856, _u7855), _u7858), _u7857) != c_Groups_Ozero__class_Ozero(_u7855)) | ~hBOOL(hAPP(hAPP(c_member(_u7856), _u7859), _u7857)) | ( hAPP(_u7858, _u7859) = c_Groups_Ozero__class_Ozero(_u7855)) | hBOOL(hAPP(hAPP(c_member(_u7856), skolem161(_u7859, _u7858, _u7857, _u7856, _u7855)), _u7857)) )).
% 12.17/12.39 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7856), _u7857)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7856, _u7855), _u7858), _u7857) != c_Groups_Ozero__class_Ozero(_u7855)) | ~hBOOL(hAPP(hAPP(c_member(_u7856), _u7859), _u7857)) | ( hAPP(_u7858, _u7859) = c_Groups_Ozero__class_Ozero(_u7855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7855), c_Groups_Ozero__class_Ozero(_u7855)), hAPP(_u7858, skolem161(_u7859, _u7858, _u7857, _u7856, _u7855)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u7860) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7860), _u7861), _u7862)), _u7863) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7860), hAPP(hAPP(c_Power_Opower__class_Opower(_u7860), _u7861), _u7863)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7860), _u7862), _u7863))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7864)) = _u7864) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u7865) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7865), c_Groups_Ozero__class_Ozero(_u7865)), _u7866) = c_Groups_Ozero__class_Ozero(_u7865)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u7867) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7867), _u7868), c_Groups_Ozero__class_Ozero(_u7867)) = c_Groups_Ozero__class_Ozero(_u7867)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u7869) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7869), _u7870), _u7871)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7869), hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7870)), _u7871)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u7872) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7872), _u7873), c_Groups_Oone__class_Oone(_u7872)) = _u7873) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u7874) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7874), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7874), _u7875), _u7876)), _u7877) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7874), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7874), _u7875), _u7877)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7874), _u7876), _u7877))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u7878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7878), _u7879), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7878), _u7880), _u7881)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7878), _u7879), _u7880)), _u7881)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u7882) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7882), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7882), _u7883), _u7884)), _u7885) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7882), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7882), _u7883), _u7885)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7882), _u7884), _u7885))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u7886) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7886), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7887, _u7886), _u7888), _u7889)), _u7890) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7887, _u7886), hAPP(hAPP(c_COMBC(_u7887, _u7886, _u7886), hAPP(hAPP(c_COMBB(_u7886, tc_fun(_u7886, _u7886), _u7887), c_Rings_Oinverse__class_Odivide(_u7886)), _u7888)), _u7890)), _u7889)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u7891) | ( _u7892 = c_Groups_Ozero__class_Ozero(_u7891)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7891), _u7893), _u7892) != _u7894) | ( _u7893 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7891), _u7894), _u7892)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u7895) | ( _u7896 = c_Groups_Ozero__class_Ozero(_u7895)) | ( _u7897 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7895), _u7898), _u7896)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7895), _u7897), _u7896) = _u7898) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u7899) | ( _u7900 = c_Groups_Ozero__class_Ozero(_u7899)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7899), _u7901), _u7900) != _u7902) | ( _u7901 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7899), _u7902), _u7900)) )).
% 12.17/12.39 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u7899) | ( _u7900 = c_Groups_Ozero__class_Ozero(_u7899)) | ( _u7901 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7899), _u7902), _u7900)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7899), _u7901), _u7900) = _u7902) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u7903) | ( _u7904 = c_Groups_Ozero__class_Ozero(_u7903)) | ( _u7905 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7903), _u7906), _u7904)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7903), _u7905), _u7904) = _u7906) )).
% 12.17/12.39 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u7903) | ( _u7904 = c_Groups_Ozero__class_Ozero(_u7903)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7903), _u7905), _u7904) != _u7906) | ( _u7905 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7903), _u7906), _u7904)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u7907) | ( _u7908 = c_Groups_Ozero__class_Ozero(_u7907)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7907), _u7909), _u7908) != c_Groups_Oone__class_Oone(_u7907)) | ( _u7909 = _u7908) )).
% 12.17/12.39 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u7907) | ( _u7908 = c_Groups_Ozero__class_Ozero(_u7907)) | ( _u7909 != _u7908) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7907), _u7909), _u7908) = c_Groups_Oone__class_Oone(_u7907)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u7910) | ( _u7911 = c_Groups_Ozero__class_Ozero(_u7910)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7910), _u7911), _u7911) = c_Groups_Oone__class_Oone(_u7910)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u7912) | ( _u7913 != c_Groups_Ozero__class_Ozero(_u7912)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7912), _u7913), _u7913) = c_Groups_Ozero__class_Ozero(_u7912)) )).
% 12.17/12.39 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u7912) | ( _u7913 = c_Groups_Ozero__class_Ozero(_u7912)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7912), _u7913), _u7913) = c_Groups_Oone__class_Oone(_u7912)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u7914) | ( _u7915 = c_Groups_Ozero__class_Ozero(_u7914)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7914), hAPP(c_Groups_Ouminus__class_Ouminus(_u7914), _u7916)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7914), _u7915)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7914), _u7916), _u7915)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u7917) | ( _u7918 = c_Groups_Ozero__class_Ozero(_u7917)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7917), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7917), _u7919), _u7918)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7917), _u7919), hAPP(c_Groups_Ouminus__class_Ouminus(_u7917), _u7918))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u7920) | ( _u7921 = c_Groups_Ozero__class_Ozero(_u7920)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7920), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7920), _u7922), _u7921)), _u7923) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7920), hAPP(hAPP(c_Power_Opower__class_Opower(_u7920), _u7922), _u7923)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7920), _u7921), _u7923))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 12.17/12.39 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)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7925)) | ( hAPP(c_Int_Onat, _u7924) != hAPP(c_Int_Onat, _u7925)) | ( _u7924 = _u7925) )).
% 12.17/12.39 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)), _u7924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7925)) | ( _u7924 != _u7925) | ( hAPP(c_Int_Onat, _u7924) = hAPP(c_Int_Onat, _u7925)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7926)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7927)) | ( hAPP(c_Int_Onat, _u7926) != hAPP(c_Int_Onat, _u7927)) | ( _u7926 = _u7927) )).
% 12.17/12.39 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)), _u7926)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7927)) | ( _u7926 != _u7927) | ( hAPP(c_Int_Onat, _u7926) = hAPP(c_Int_Onat, _u7927)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u7933, skolem162(_u7933))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7929)) | hBOOL(hAPP(_u7933, hAPP(c_Int_Onat, _u7929))) )).
% 12.17/12.39 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u7934, _u7931)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem163(_u7934))) )).
% 12.17/12.39 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u7934, _u7931)) | ~hBOOL(hAPP(_u7934, hAPP(c_Int_Onat, skolem163(_u7934)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u7940, _u7935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem164(_u7940))) )).
% 12.17/12.39 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u7940, _u7935)) | hBOOL(hAPP(_u7940, hAPP(c_Int_Onat, skolem164(_u7940)))) )).
% 12.17/12.39 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)), _u7937)) | ~hBOOL(hAPP(_u7941, hAPP(c_Int_Onat, _u7937))) | hBOOL(hAPP(_u7941, skolem165(_u7941))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u7942) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7942), c_Groups_Oone__class_Oone(_u7942)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7942), _u7943), _u7944)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7942), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7942), c_Groups_Oone__class_Oone(_u7942)), _u7943)), _u7944)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7945), _u7946) = 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)), _u7945)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7946)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7947)) = _u7947) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u7948) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7949), _u7950)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7949, _u7948), hAPP(hAPP(c_COMBS(_u7949, _u7948, _u7948), hAPP(hAPP(c_COMBB(_u7948, tc_fun(_u7948, _u7948), _u7949), c_Rings_Oinverse__class_Odivide(_u7948)), _u7951)), _u7952)), _u7950) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7948), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7949, _u7948), _u7951), _u7950)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7949, _u7948), _u7952), _u7950))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7953, _u7954)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7954), _u7953))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7955) | ~class_Groups_Ocomm__monoid__mult(_u7955) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u7955), _u7956), _u7957) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u7955), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7955, tc_Int_Oint), _u7956), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7957))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u7959) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7959), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7960), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7960) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7961), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7961) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7964)), hAPP(c_Int_Onat, _u7966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7966)) )).
% 12.17/12.39 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7964)), hAPP(c_Int_Onat, _u7966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7964), _u7966)) )).
% 12.17/12.39 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)), _u7967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7965), _u7967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7965)), hAPP(c_Int_Onat, _u7967))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7969)), hAPP(c_Int_Onat, _u7968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7969), _u7968)) )).
% 12.17/12.39 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)), _u7968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7969), _u7968)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7969)), hAPP(c_Int_Onat, _u7968))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7970)), hAPP(c_Int_Onat, _u7971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7970), _u7971)) )).
% 12.17/12.39 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)), _u7970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7970), _u7971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7970)), hAPP(c_Int_Onat, _u7971))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7973)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7973)) = _u7973) )).
% 12.17/12.39 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)), _u7974)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7974)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7977) != _u7979) | ( _u7977 = hAPP(c_Int_Onat, _u7979)) )).
% 12.17/12.39 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7977) != _u7979) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7979)) )).
% 12.17/12.39 cnf(fact_int__eq__iff-3, axiom, ( ( _u7978 != hAPP(c_Int_Onat, _u7980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7980)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7978) = _u7980) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7981)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7981)) = _u7981) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7984), hAPP(c_Int_Onat, _u7986))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7984)), _u7986)) )).
% 12.17/12.39 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), _u7985)), _u7987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7985), hAPP(c_Int_Onat, _u7987))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7988)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7989)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u7988)), hAPP(c_Int_Onat, _u7989)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7988), _u7989))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7990)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7990), _u7991)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u7990)), hAPP(c_Int_Onat, _u7991))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u7992))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7993) | ~class_Groups_Ocomm__monoid__mult(_u7993) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7993), _u7994), _u7995) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7993), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7993, tc_Int_Oint), _u7994), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7995))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u7996)) = hAPP(c_Int_Onat, _u7996)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7997), _u7998)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7998), _u7997))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 12.17/12.39 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, _u8000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8000)) )).
% 12.17/12.39 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)), _u8001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u8001))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u8002) | ( _u8003 = c_Groups_Ozero__class_Ozero(_u8002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8004), _u8005)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8002), _u8003), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8005), _u8004)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8002), hAPP(hAPP(c_Power_Opower__class_Opower(_u8002), _u8003), _u8005)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8002), _u8003), _u8004))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8006)), hAPP(c_Int_Onat, _u8007))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8006), _u8007)) )).
% 12.17/12.39 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)), _u8006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8006), _u8007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8006)), hAPP(c_Int_Onat, _u8007))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8008)), hAPP(c_Int_Onat, _u8009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8008), _u8009)) )).
% 12.17/12.39 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)), _u8008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8008), _u8009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8008)), hAPP(c_Int_Onat, _u8009))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u8012) != _u8014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8012)) | ( _u8012 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8014)) )).
% 12.17/12.39 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u8012) != _u8014) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8012)) | ( _u8014 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u8013) = _u8015) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8013)) | ( _u8015 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u8013) = _u8015) | ( _u8013 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8013)) )).
% 12.17/12.39 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u8013) = _u8015) | ( _u8013 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8015)) | ( _u8015 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u8018 != hAPP(c_Int_Onat, _u8020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8020)) | ( _u8020 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8018)) )).
% 12.17/12.39 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u8018 != hAPP(c_Int_Onat, _u8020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8020)) | ( _u8018 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u8019 = hAPP(c_Int_Onat, _u8021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8021)) | ( _u8019 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u8019 = hAPP(c_Int_Onat, _u8021)) | ( _u8021 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8021)) )).
% 12.17/12.39 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u8019 = hAPP(c_Int_Onat, _u8021)) | ( _u8021 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8019)) | ( _u8019 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u8022)), hAPP(c_Int_Onat, _u8023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8022), _u8023)) )).
% 12.17/12.39 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)), _u8022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8022), _u8023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u8022)), hAPP(c_Int_Onat, _u8023))) )).
% 12.17/12.39 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)), _u8023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u8022)), hAPP(c_Int_Onat, _u8023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8022), _u8023)) )).
% 12.17/12.39 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)), _u8023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8022), _u8023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u8022)), hAPP(c_Int_Onat, _u8023))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u8028, hAPP(c_Int_Onat, _u8030))) | ( _u8030 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8024)) | hBOOL(hAPP(_u8028, _u8024)) )).
% 12.17/12.39 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u8028, hAPP(c_Int_Onat, _u8030))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8030), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u8028, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.39 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u8029, hAPP(c_Int_Onat, _u8031))) | ( _u8031 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem166(_u8031, _u8029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8031), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u8029, hAPP(c_Int_Onat, _u8031))) | ( _u8031 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem166(_u8031, _u8029))) | ~hBOOL(hAPP(_u8029, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.39 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u8029, hAPP(c_Int_Onat, _u8031))) | ~hBOOL(hAPP(_u8029, skolem166(_u8031, _u8029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8031), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u8029, hAPP(c_Int_Onat, _u8031))) | ~hBOOL(hAPP(_u8029, skolem166(_u8031, _u8029))) | ~hBOOL(hAPP(_u8029, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8033)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8032), _u8033)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8032)), hAPP(c_Int_Onat, _u8033))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8035)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8034)), hAPP(c_Int_Onat, _u8035)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8034), _u8035))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8036)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8036), _u8037)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u8036)), hAPP(c_Int_Onat, _u8037))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8039)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u8038)), hAPP(c_Int_Onat, _u8039)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8038), _u8039))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8040), _u8041) = 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)), _u8040)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8041)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8042)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8042), _u8043)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8043), _u8042)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8043)), hAPP(c_Int_Onat, _u8042))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8044, tc_Nat_Onat), _u8045), _u8046) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8044, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8044), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8045)), _u8046))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8047)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u8047)), _u8048) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8047), _u8048))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8049)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8049), _u8050)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u8049)), _u8050)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8051, tc_Nat_Onat), _u8052), _u8053) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8051, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8051), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8052)), _u8053))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8055)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8054)), hAPP(c_Int_Onat, _u8055)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u8054, _u8055))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 12.17/12.39 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, _u8057))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8057)) )).
% 12.17/12.39 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)), _u8058)) | 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, _u8058))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8059)), _u8060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8059), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8060))) )).
% 12.17/12.39 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)), _u8059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8059), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8059)), _u8060)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8061)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u8061)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8061))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8062), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8062), _u8063)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8062))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8063)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u8064, _u8065)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8065), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8064), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u8066) | ( _u8067 = c_Groups_Oone__class_Oone(_u8066)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8066), hAPP(c_Power_Opower__class_Opower(_u8066), _u8067)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8068)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8066), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8066), hAPP(hAPP(c_Power_Opower__class_Opower(_u8066), _u8067), _u8068)), c_Groups_Oone__class_Oone(_u8066))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8066), _u8067), c_Groups_Oone__class_Oone(_u8066)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) )).
% 12.17/12.39 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) )).
% 12.17/12.39 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.17/12.39 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.17/12.39 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.17/12.39 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.17/12.39 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) )).
% 12.17/12.39 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.17/12.39 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.17/12.39 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) )).
% 12.17/12.39 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) )).
% 12.17/12.39 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.17/12.39 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.17/12.39 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) )).
% 12.17/12.39 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.17/12.39 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) )).
% 12.17/12.39 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.17/12.39 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) )).
% 12.17/12.39 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8077) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8077), c_Groups_Ozero__class_Ozero(_u8077)), _u8078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8077), _u8079), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8077), _u8080), _u8078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8077), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8077), _u8079), _u8078)), _u8080)) )).
% 12.17/12.39 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8077) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8077), c_Groups_Ozero__class_Ozero(_u8077)), _u8078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8077), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8077), _u8079), _u8078)), _u8080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8077), _u8079), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8077), _u8080), _u8078))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8081), c_Groups_Ozero__class_Ozero(_u8081)), _u8082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8081), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8081), _u8083), _u8082)), _u8084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8081), _u8083), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8081), _u8084), _u8082))) )).
% 12.17/12.39 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8081), c_Groups_Ozero__class_Ozero(_u8081)), _u8082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8081), _u8083), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8081), _u8084), _u8082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8081), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8081), _u8083), _u8082)), _u8084)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u8085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8085), c_Groups_Ozero__class_Ozero(_u8085)), _u8086)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8085), _u8087), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8085), _u8088), _u8086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8085), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8085), _u8087), _u8086)), _u8088)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8089) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8089), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8089), _u8090), _u8091)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8089), _u8092), _u8093)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8089), _u8090), _u8092)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8089), _u8091), _u8093))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8094) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8094), hAPP(c_Groups_Ouminus__class_Ouminus(_u8094), _u8095)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8094), _u8096)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8094), _u8095), _u8096)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8097) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8097), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8097), _u8098), _u8099)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8097), _u8098), hAPP(c_Groups_Ouminus__class_Ouminus(_u8097), _u8099))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8101), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.17/12.39 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8102), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.17/12.39 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8101), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.17/12.39 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8102), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.17/12.39 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8102)) )).
% 12.17/12.39 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8101), c_Groups_Ozero__class_Ozero(_u8100))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8102), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8104), c_Groups_Ozero__class_Ozero(_u8103))) )).
% 12.17/12.39 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8105)) )).
% 12.17/12.39 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8105), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8104), c_Groups_Ozero__class_Ozero(_u8103))) )).
% 12.17/12.39 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8105), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8105)) )).
% 12.17/12.39 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8104)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8105), c_Groups_Ozero__class_Ozero(_u8103))) )).
% 12.17/12.39 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8104), c_Groups_Ozero__class_Ozero(_u8103))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8105)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8106), _u8107), _u8108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8106), c_Groups_Ozero__class_Ozero(_u8106)), _u8109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8106), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8106), _u8107), _u8109)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8106), _u8108), _u8109))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8110), _u8111), _u8112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8110), _u8113), c_Groups_Ozero__class_Ozero(_u8110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8110), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8110), _u8112), _u8113)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8110), _u8111), _u8113))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8115), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.17/12.39 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8116), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.17/12.39 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8115), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.17/12.39 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8116), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.17/12.39 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8116)) )).
% 12.17/12.39 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8115), c_Groups_Ozero__class_Ozero(_u8114))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8116), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8118), c_Groups_Ozero__class_Ozero(_u8117))) )).
% 12.17/12.39 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8119)) )).
% 12.17/12.39 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8119), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8118), c_Groups_Ozero__class_Ozero(_u8117))) )).
% 12.17/12.39 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8119), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8119)) )).
% 12.17/12.39 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8118)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8119), c_Groups_Ozero__class_Ozero(_u8117))) )).
% 12.17/12.39 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8118), c_Groups_Ozero__class_Ozero(_u8117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8119)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8120) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8120), c_Groups_Ozero__class_Ozero(_u8120)), _u8121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8120), c_Groups_Ozero__class_Ozero(_u8120)), _u8122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8120), c_Groups_Ozero__class_Ozero(_u8120)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8120), _u8121), _u8122))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8123), c_Groups_Ozero__class_Ozero(_u8123)), _u8124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8123), _u8125), c_Groups_Ozero__class_Ozero(_u8123))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8123), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8123), _u8124), _u8125)), c_Groups_Ozero__class_Ozero(_u8123))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), _u8127), c_Groups_Ozero__class_Ozero(_u8126))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), c_Groups_Ozero__class_Ozero(_u8126)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8126), _u8127), _u8128)), c_Groups_Ozero__class_Ozero(_u8126))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8129), _u8130), c_Groups_Ozero__class_Ozero(_u8129))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8129), _u8131), c_Groups_Ozero__class_Ozero(_u8129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8129), c_Groups_Ozero__class_Ozero(_u8129)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8129), _u8130), _u8131))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u8132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8132), _u8133), _u8134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8132), c_Groups_Ozero__class_Ozero(_u8132)), _u8135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8132), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8132), _u8133), _u8135)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8132), _u8134), _u8135))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8136) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8136), _u8137), _u8138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8136), _u8139), c_Groups_Ozero__class_Ozero(_u8136))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8136), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8136), _u8138), _u8139)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8136), _u8137), _u8139))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u8140) | ( _u8141 = c_Groups_Ozero__class_Ozero(_u8140)) | ( _u8142 = c_Groups_Ozero__class_Ozero(_u8140)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8140), _u8143), _u8141) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8140), _u8144), _u8142)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), _u8143), _u8142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), _u8144), _u8141)) )).
% 12.17/12.39 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u8140) | ( _u8141 = c_Groups_Ozero__class_Ozero(_u8140)) | ( _u8142 = c_Groups_Ozero__class_Ozero(_u8140)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), _u8143), _u8142) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), _u8144), _u8141)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8140), _u8143), _u8141) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8140), _u8144), _u8142)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8145) | ( _u8146 = c_Groups_Ozero__class_Ozero(_u8145)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8148)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8145), _u8147), _u8148)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8149) | ( _u8150 = c_Groups_Ozero__class_Ozero(_u8149)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8149), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8149), _u8151), _u8150)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8149), _u8152), _u8150)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8149), _u8151), _u8152)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) != _u8156) | ( _u8155 = c_Groups_Ozero__class_Ozero(_u8153)) | ( _u8154 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8153), _u8156), _u8155)) )).
% 12.17/12.39 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) != _u8156) | ( _u8155 != c_Groups_Ozero__class_Ozero(_u8153)) | ( _u8156 = c_Groups_Ozero__class_Ozero(_u8153)) )).
% 12.17/12.39 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) = _u8156) | ( _u8155 != c_Groups_Ozero__class_Ozero(_u8153)) | ( _u8156 != c_Groups_Ozero__class_Ozero(_u8153)) )).
% 12.17/12.39 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) = _u8156) | ( _u8154 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8153), _u8156), _u8155)) | ( _u8155 = c_Groups_Ozero__class_Ozero(_u8153)) )).
% 12.17/12.39 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) = _u8156) | ( _u8154 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8153), _u8156), _u8155)) | ( _u8156 != c_Groups_Ozero__class_Ozero(_u8153)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( _u8160 = c_Groups_Ozero__class_Ozero(_u8157)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8157), _u8158), _u8160) = _u8159) )).
% 12.17/12.39 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( _u8160 != c_Groups_Ozero__class_Ozero(_u8157)) | ( _u8158 = c_Groups_Ozero__class_Ozero(_u8157)) )).
% 12.17/12.39 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( _u8160 != c_Groups_Ozero__class_Ozero(_u8157)) | ( _u8158 != c_Groups_Ozero__class_Ozero(_u8157)) )).
% 12.17/12.39 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8157), _u8158), _u8160) != _u8159) | ( _u8160 = c_Groups_Ozero__class_Ozero(_u8157)) )).
% 12.17/12.39 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8157), _u8158), _u8160) != _u8159) | ( _u8158 != c_Groups_Ozero__class_Ozero(_u8157)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8161), c_Groups_Ozero__class_Ozero(_u8161)), _u8162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8161), c_Groups_Ozero__class_Ozero(_u8161)), _u8163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8161), c_Groups_Ozero__class_Ozero(_u8161)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8161), _u8162), _u8163))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8164), c_Groups_Ozero__class_Ozero(_u8164)), _u8165)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8164), _u8166), c_Groups_Ozero__class_Ozero(_u8164))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8164), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8164), _u8165), _u8166)), c_Groups_Ozero__class_Ozero(_u8164))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u8167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8167), c_Groups_Ozero__class_Ozero(_u8167)), _u8168)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8167), _u8168), _u8169)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8167), c_Groups_Ozero__class_Ozero(_u8167)), _u8170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8167), _u8170), _u8171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8167), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8167), _u8168), _u8171)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8167), _u8169), _u8170))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u8172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8172), c_Groups_Ozero__class_Ozero(_u8172)), _u8173)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), _u8173), _u8174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), c_Groups_Ozero__class_Ozero(_u8172)), _u8175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8172), _u8175), _u8176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8172), _u8173), _u8176)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8172), _u8174), _u8175))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u8177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8177), c_Groups_Ozero__class_Ozero(_u8177)), _u8178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8177), _u8178), _u8179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8177), c_Groups_Ozero__class_Ozero(_u8177)), _u8180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8177), _u8180), _u8181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8177), _u8178), _u8181)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8177), _u8179), _u8180))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8182), _u8183), c_Groups_Ozero__class_Ozero(_u8182))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8182), c_Groups_Ozero__class_Ozero(_u8182)), _u8184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8182), _u8183), _u8184)), c_Groups_Ozero__class_Ozero(_u8182))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8185), _u8186), c_Groups_Ozero__class_Ozero(_u8185))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8185), _u8187), c_Groups_Ozero__class_Ozero(_u8185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8185), c_Groups_Ozero__class_Ozero(_u8185)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8185), _u8186), _u8187))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) )).
% 12.17/12.39 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) )).
% 12.17/12.39 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.17/12.39 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.17/12.39 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.17/12.39 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.17/12.39 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) )).
% 12.17/12.39 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.17/12.39 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.17/12.39 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) )).
% 12.17/12.39 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) )).
% 12.17/12.39 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.17/12.39 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.17/12.39 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) )).
% 12.17/12.39 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.17/12.39 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) )).
% 12.17/12.39 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.17/12.39 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) )).
% 12.17/12.39 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), c_Groups_Ozero__class_Ozero(_u8196)), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), _u8198), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8196), _u8199), _u8197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8196), _u8198), _u8197)), _u8199)) )).
% 12.17/12.39 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), c_Groups_Ozero__class_Ozero(_u8196)), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8196), _u8198), _u8197)), _u8199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), _u8198), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8196), _u8199), _u8197))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), c_Groups_Ozero__class_Ozero(_u8200)), _u8201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8200), _u8202), _u8201)), _u8203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), _u8202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8200), _u8203), _u8201))) )).
% 12.17/12.39 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), c_Groups_Ozero__class_Ozero(_u8200)), _u8201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), _u8202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8200), _u8203), _u8201))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8200), _u8202), _u8201)), _u8203)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u8204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8204), c_Groups_Ozero__class_Ozero(_u8204)), _u8205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8204), _u8206), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8204), _u8207), _u8205))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8204), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8204), _u8206), _u8205)), _u8207)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), c_Groups_Ozero__class_Ozero(_u8208)), _u8209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8208), _u8210), _u8209)), _u8211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), _u8210), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8208), _u8211), _u8209))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8213), c_Groups_Ozero__class_Ozero(_u8212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8214), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8212), _u8215), _u8213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8212), _u8214), _u8213))) )).
% 12.17/12.39 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8213), c_Groups_Ozero__class_Ozero(_u8212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8212), _u8214), _u8213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8214), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8212), _u8215), _u8213))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), _u8217), c_Groups_Ozero__class_Ozero(_u8216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8216), _u8218), _u8217)), _u8219)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8216), _u8219), _u8217)), _u8218)) )).
% 12.17/12.39 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), _u8217), c_Groups_Ozero__class_Ozero(_u8216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8216), _u8219), _u8217)), _u8218)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8216), _u8218), _u8217)), _u8219)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u8220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8220), _u8221), _u8222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8220), c_Groups_Ozero__class_Ozero(_u8220)), _u8223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8220), c_Groups_Ozero__class_Ozero(_u8220)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8220), _u8222), _u8221))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8220), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8220), _u8223), _u8222)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8220), _u8223), _u8221))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8224), _u8225), _u8226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8224), _u8227), c_Groups_Ozero__class_Ozero(_u8224))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8224), c_Groups_Ozero__class_Ozero(_u8224)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8224), _u8225), _u8226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8224), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8224), _u8227), _u8225)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8224), _u8227), _u8226))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u8228) | ( _u8229 = c_Groups_Ozero__class_Ozero(_u8228)) | ( _u8230 = c_Groups_Ozero__class_Ozero(_u8228)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8228), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8228), _u8231), _u8229)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8228), _u8232), _u8230)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8228), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8228), _u8231), _u8230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8228), _u8232), _u8229))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8228), _u8229), _u8230))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8233) | ( _u8234 = c_Groups_Ozero__class_Ozero(_u8233)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8233), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8233), _u8235), _u8234)), _u8236) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8233), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8233), _u8235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8233), _u8234), _u8236))), _u8234)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8237) | ( _u8238 = c_Groups_Ozero__class_Ozero(_u8237)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8237), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8237), _u8239), _u8238)), _u8240) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8237), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8237), _u8239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8237), _u8240), _u8238))), _u8238)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8241) | ( _u8242 = c_Groups_Ozero__class_Ozero(_u8241)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8241), _u8243), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8241), _u8244), _u8242)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8241), _u8242), _u8243)), _u8244)), _u8242)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8245) | ( _u8246 = c_Groups_Ozero__class_Ozero(_u8245)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8245), _u8247), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8245), _u8248), _u8246)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8245), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8245), _u8248), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8245), _u8247), _u8246))), _u8246)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u8249) | ( _u8250 = c_Groups_Ozero__class_Ozero(_u8249)) | ( _u8251 = c_Groups_Ozero__class_Ozero(_u8249)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8249), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8249), _u8252), _u8250)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8249), _u8253), _u8251)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8249), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8249), _u8252), _u8251)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8249), _u8253), _u8250))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8249), _u8250), _u8251))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8254) | ( _u8255 = c_Groups_Ozero__class_Ozero(_u8254)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8254), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8254), _u8256), _u8255)), _u8257) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8254), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8254), _u8256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8254), _u8255), _u8257))), _u8255)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8258) | ( _u8259 = c_Groups_Ozero__class_Ozero(_u8258)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8258), _u8260), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8258), _u8261), _u8259)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8258), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8258), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8258), _u8259), _u8260)), _u8261)), _u8259)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u8262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8262), _u8263), _u8264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8262), _u8263), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8262), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8262), _u8263), _u8264)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8262), c_Groups_Oone__class_Oone(_u8262)), c_Groups_Oone__class_Oone(_u8262))))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u8265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8265), _u8266), _u8267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8265), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8265), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8265), _u8266), _u8267)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8265), c_Groups_Oone__class_Oone(_u8265)), c_Groups_Oone__class_Oone(_u8265)))), _u8267)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8268), _u8269), _u8270)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8268), _u8271), c_Groups_Ozero__class_Ozero(_u8268))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8268), c_Groups_Ozero__class_Ozero(_u8268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8268), _u8269), _u8270))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8268), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8268), _u8271), _u8269)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8268), _u8271), _u8270))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u8272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8272), _u8273), _u8274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8272), c_Groups_Ozero__class_Ozero(_u8272)), _u8275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8272), c_Groups_Ozero__class_Ozero(_u8272)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8272), _u8274), _u8273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8272), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8272), _u8275), _u8274)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8272), _u8275), _u8273))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8276), _u8277), c_Groups_Ozero__class_Ozero(_u8276))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8276), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8276), _u8278), _u8277)), _u8279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8276), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8276), _u8279), _u8277)), _u8278)) )).
% 12.17/12.39 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8276), _u8277), c_Groups_Ozero__class_Ozero(_u8276))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8276), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8276), _u8279), _u8277)), _u8278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8276), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8276), _u8278), _u8277)), _u8279)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8280), _u8281), c_Groups_Ozero__class_Ozero(_u8280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8280), _u8282), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8280), _u8283), _u8281))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8280), _u8283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8280), _u8282), _u8281))) )).
% 12.17/12.39 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8280), _u8281), c_Groups_Ozero__class_Ozero(_u8280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8280), _u8283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8280), _u8282), _u8281))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8280), _u8282), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8280), _u8283), _u8281))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8284) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8284), c_Groups_Ozero__class_Ozero(_u8284)), _u8285)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8284), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8284), _u8286), _u8285)), _u8287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8284), _u8286), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8284), _u8287), _u8285))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u8288, _u8289) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8288)), _u8289)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8290) | ~c_Nat__Transfer_Onat__set(_u8291) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8290), _u8291) = 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), _u8290)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8291)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8292) | ~c_Nat__Transfer_Onat__set(_u8293) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8292), _u8293) = 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), _u8292)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8293)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8294) | ~class_Groups_Ocomm__monoid__mult(_u8294) | ~c_Nat__Transfer_Onat__set(_u8295) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8294), _u8296), _u8295) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8294), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8294, tc_Nat_Onat), _u8296), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8295))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8297) | ~c_Nat__Transfer_Onat__set(_u8298) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8297), _u8298)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8299) | ~c_Nat__Transfer_Onat__set(_u8300) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8299), _u8300)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8304) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8301), _u8304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8301)) )).
% 12.17/12.39 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u8305) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem167(_u8305)), _u8305)) )).
% 12.17/12.39 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u8305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem167(_u8305))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8306)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8307) | ~c_Nat__Transfer_Onat__set(_u8308) | ( _u8307 != _u8308) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8307) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8308)) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8307) | ~c_Nat__Transfer_Onat__set(_u8308) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8307) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8308)) | ( _u8307 = _u8308) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8309) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8310), _u8309)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8310)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8311) | ( 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), _u8311)) = _u8311) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8312)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8312))) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8312))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8312)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8313) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u8313) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8313))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8314) | ~c_Nat__Transfer_Onat__set(_u8315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8314), _u8315)) | 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), _u8314)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8315))) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8314) | ~c_Nat__Transfer_Onat__set(_u8315) | ~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), _u8314)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8314), _u8315)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8316) | ~c_Nat__Transfer_Onat__set(_u8317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8316), _u8317)) | 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), _u8316)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8317))) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8316) | ~c_Nat__Transfer_Onat__set(_u8317) | ~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), _u8316)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8316), _u8317)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8318) | ~class_Groups_Ocomm__monoid__mult(_u8318) | ~c_Nat__Transfer_Onat__set(_u8319) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8318), _u8320), _u8319) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8318), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8318, tc_Nat_Onat), _u8320), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8319))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u8322) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8324)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8325)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8322), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), _u8324)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), _u8325))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325)))) | hBOOL(hAPP(hAPP(c_member(_u8323), skolem168(_u8326, _u8325, _u8324, _u8323, _u8322)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325))) )).
% 12.17/12.39 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u8322) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8324)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8325)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8322), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), _u8324)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), _u8325))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325)))) | ( hAPP(_u8326, skolem168(_u8326, _u8325, _u8324, _u8323, _u8322)) = c_Groups_Ozero__class_Ozero(_u8322)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8327) | ~c_Nat__Transfer_Onat__set(_u8328) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8327), _u8328)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u8327)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8328))) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8327) | ~c_Nat__Transfer_Onat__set(_u8328) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u8327)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8328))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8327), _u8328)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u8329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8330), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8329), _u8330) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8329), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8329), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8330))))) )).
% 12.17/12.39 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u8329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8330), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8329), _u8330) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8329), hAPP(c_Int_Onat, _u8330))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8333), _u8334)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8333, _u8332), _u8335), _u8334) != _u8336) | ~hBOOL(hAPP(hAPP(c_member(_u8333), _u8337), _u8334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8332), hAPP(_u8335, _u8337)), _u8336)) | hBOOL(hAPP(hAPP(c_member(_u8333), skolem169(_u8337, _u8336, _u8335, _u8334, _u8333, _u8332)), _u8334)) )).
% 12.17/12.39 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8333), _u8334)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8333, _u8332), _u8335), _u8334) != _u8336) | ~hBOOL(hAPP(hAPP(c_member(_u8333), _u8337), _u8334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8332), hAPP(_u8335, _u8337)), _u8336)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8332), c_Groups_Ozero__class_Ozero(_u8332)), hAPP(_u8335, skolem169(_u8337, _u8336, _u8335, _u8334, _u8333, _u8332)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 12.17/12.39 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)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8338) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8338), _u8339) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8338), _u8340)) | ( _u8339 = _u8340) )).
% 12.17/12.39 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8338) | ( _u8339 != _u8340) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8338), _u8339) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8338), _u8340)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u8341) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8341), _u8342) != hAPP(c_Int_Oring__1__class_Oof__int(_u8341), _u8343)) | ( _u8342 = _u8343) )).
% 12.17/12.39 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u8341) | ( _u8342 != _u8343) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8341), _u8342) = hAPP(c_Int_Oring__1__class_Oof__int(_u8341), _u8343)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 12.17/12.39 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), _u8344)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8344)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 12.17/12.39 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)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8345) | ~c_Nat__Transfer_Ois__nat(_u8346) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8345), _u8346)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u8347)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 12.17/12.39 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)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8348) | ~c_Nat__Transfer_Ois__nat(_u8349) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8348), _u8349)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8350) | ~c_Nat__Transfer_Ois__nat(_u8351) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8350), _u8351)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8352) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8352), _u8353)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8354) | ~c_Nat__Transfer_Ois__nat(_u8355) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u8354, _u8355)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u8356) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8356), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u8356)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u8357) | ( c_Groups_Ozero__class_Ozero(_u8357) != hAPP(c_Int_Oring__1__class_Oof__int(_u8357), _u8358)) | ( _u8358 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u8357) | ( _u8358 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u8357) = hAPP(c_Int_Oring__1__class_Oof__int(_u8357), _u8358)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u8359) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8359), _u8360) != c_Groups_Ozero__class_Ozero(_u8359)) | ( _u8360 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u8359) | ( _u8360 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8359), _u8360) = c_Groups_Ozero__class_Ozero(_u8359)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8361), hAPP(c_Int_Oring__1__class_Oof__int(_u8361), _u8362)), hAPP(c_Int_Oring__1__class_Oof__int(_u8361), _u8363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8362), _u8363)) )).
% 12.17/12.39 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8362), _u8363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8361), hAPP(c_Int_Oring__1__class_Oof__int(_u8361), _u8362)), hAPP(c_Int_Oring__1__class_Oof__int(_u8361), _u8363))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8364), hAPP(c_Int_Oring__1__class_Oof__int(_u8364), _u8365)), hAPP(c_Int_Oring__1__class_Oof__int(_u8364), _u8366))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8365), _u8366)) )).
% 12.17/12.39 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8365), _u8366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8364), hAPP(c_Int_Oring__1__class_Oof__int(_u8364), _u8365)), hAPP(c_Int_Oring__1__class_Oof__int(_u8364), _u8366))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u8367) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8368), _u8369)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8367), hAPP(c_Int_Oring__1__class_Oof__int(_u8367), _u8368)), hAPP(c_Int_Oring__1__class_Oof__int(_u8367), _u8369))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u8370) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8371), _u8372)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8370), hAPP(c_Int_Oring__1__class_Oof__int(_u8370), _u8371)), hAPP(c_Int_Oring__1__class_Oof__int(_u8370), _u8372))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u8373) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8373), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u8373)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u8374) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8374), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8375), _u8376)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8374), hAPP(c_Int_Oring__1__class_Oof__int(_u8374), _u8375)), hAPP(c_Int_Oring__1__class_Oof__int(_u8374), _u8376))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u8377) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8377), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8378)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8377), _u8378)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u8379) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8379), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8380)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8379), hAPP(c_Int_Oring__1__class_Oof__int(_u8379), _u8380))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u8381) | hBOOL(hAPP(hAPP(c_member(_u8381), hAPP(c_Int_Oring__1__class_Oof__int(_u8381), _u8382)), c_Int_Oring__1__class_OInts(_u8381))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u8383) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8383), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8384), _u8385)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8383), hAPP(c_Int_Oring__1__class_Oof__int(_u8383), _u8384)), _u8385)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8387) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8387)) )).
% 12.17/12.39 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)), _u8388)) | c_Nat__Transfer_Ois__nat(_u8388) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u8389) | ~hBOOL(hAPP(hAPP(c_member(_u8389), _u8390), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8389), _u8391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8389), _u8391), _u8390)) )).
% 12.17/12.39 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u8389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8389), _u8391), _u8390)) | hBOOL(hAPP(hAPP(c_member(_u8389), _u8390), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8389), _u8391))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8392, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8392), _u8393)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8392), _u8394))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8392), _u8394), _u8393)) )).
% 12.17/12.39 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8392), _u8394), _u8393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8392, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8392), _u8393)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8392), _u8394))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u8395) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8395), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8396, tc_Int_Oint), _u8397), _u8398)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8396, _u8395), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8395, _u8396), c_Int_Oring__1__class_Oof__int(_u8395)), _u8397)), _u8398)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8399) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8400), _u8399)) | c_Nat__Transfer_Ois__nat(_u8400) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8401) | ~class_Rings_Oring__1(_u8401) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8401), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8402, tc_Int_Oint), _u8403), _u8404)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8402, _u8401), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8401, _u8402), c_Int_Oring__1__class_Oof__int(_u8401)), _u8403)), _u8404)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8405), c_Groups_Ozero__class_Ozero(_u8405)), hAPP(c_Int_Oring__1__class_Oof__int(_u8405), _u8406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8406)) )).
% 12.17/12.39 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8405), c_Groups_Ozero__class_Ozero(_u8405)), hAPP(c_Int_Oring__1__class_Oof__int(_u8405), _u8406))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8407), hAPP(c_Int_Oring__1__class_Oof__int(_u8407), _u8408)), c_Groups_Ozero__class_Ozero(_u8407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8408), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8408), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8407), hAPP(c_Int_Oring__1__class_Oof__int(_u8407), _u8408)), c_Groups_Ozero__class_Ozero(_u8407))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8409), c_Groups_Ozero__class_Ozero(_u8409)), hAPP(c_Int_Oring__1__class_Oof__int(_u8409), _u8410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8410)) )).
% 12.17/12.39 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8409), c_Groups_Ozero__class_Ozero(_u8409)), hAPP(c_Int_Oring__1__class_Oof__int(_u8409), _u8410))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8411), hAPP(c_Int_Oring__1__class_Oof__int(_u8411), _u8412)), c_Groups_Ozero__class_Ozero(_u8411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8412), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8412), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8411), hAPP(c_Int_Oring__1__class_Oof__int(_u8411), _u8412)), c_Groups_Ozero__class_Ozero(_u8411))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u8413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8414)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8413), hAPP(c_Int_Onat, _u8414)) = hAPP(c_Int_Oring__1__class_Oof__int(_u8413), _u8414)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u8415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8415), _u8416), _u8417)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8415, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8415, _u8416, _u8417)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8415), _u8417)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8415), _u8416)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8418) | ( hAPP(c_Set_Oimage(_u8418, _u8418, c_Groups_Ouminus__class_Ouminus(_u8418)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8418), _u8419)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8418), hAPP(c_Groups_Ouminus__class_Ouminus(_u8418), _u8419))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8420) | ( hAPP(c_Set_Oimage(_u8420, _u8420, c_Groups_Ouminus__class_Ouminus(_u8420)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8420), _u8421)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8420), hAPP(c_Groups_Ouminus__class_Ouminus(_u8420), _u8421))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u8422) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8422, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8422, _u8423, _u8424)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8422), _u8424)) = c_Orderings_Obot__class_Obot(tc_fun(_u8422, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8425)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u8425)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8425)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8427, tc_Int_Oint), _u8429), _u8428) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8427, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8427), c_Int_Onat), _u8429)), _u8428))) | hBOOL(hAPP(hAPP(c_member(_u8427), skolem170(_u8429, _u8428, _u8427)), _u8428)) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8427, tc_Int_Oint), _u8429), _u8428) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8427, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8427), c_Int_Onat), _u8429)), _u8428))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8429, skolem170(_u8429, _u8428, _u8427))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Int_Oint), _u8433), _u8432) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8431), c_Int_Onat), _u8433)), _u8432))) | hBOOL(hAPP(hAPP(c_member(_u8431), skolem171(_u8433, _u8432, _u8431)), _u8432)) )).
% 12.17/12.39 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Int_Oint), _u8433), _u8432) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8431), c_Int_Onat), _u8433)), _u8432))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8433, skolem171(_u8433, _u8432, _u8431))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u8435, skolem172(_u8437, _u8436, _u8435))), hAPP(_u8436, skolem172(_u8437, _u8436, _u8435)))) | ( 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), _u8436), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8437))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u8435), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8437))) = 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)), _u8436)), _u8435)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8437))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u8438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8439), _u8440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8438), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u8438, _u8438), hAPP(hAPP(c_COMBB(_u8438, tc_fun(_u8438, _u8438), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u8438)), _u8441)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8438, tc_Nat_Onat), _u8441), 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, _u8439, _u8440)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8438), hAPP(_u8441, _u8439)), hAPP(_u8441, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8440), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.17/12.39 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u8438) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8439), _u8440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8438), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u8438, _u8438), hAPP(hAPP(c_COMBB(_u8438, tc_fun(_u8438, _u8438), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u8438)), _u8441)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8438, tc_Nat_Onat), _u8441), 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, _u8439, _u8440)) = c_Groups_Ozero__class_Ozero(_u8438)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8442) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8442), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8442), c_Groups_Oone__class_Oone(_u8442)), c_Groups_Oone__class_Oone(_u8442))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8442), c_Nat_Osemiring__1__class_Oof__nat(_u8442)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8443))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8442), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8442), _u8443)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8442), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8442), _u8443)), c_Groups_Oone__class_Oone(_u8442)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8444, _u8445))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8447), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8452))) | hBOOL(hAPP(_u8454, _u8447)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem173(_u8454, _u8452)), _u8452)) )).
% 12.17/12.39 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8447), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8452))) | hBOOL(hAPP(_u8454, _u8447)) | ~hBOOL(hAPP(_u8454, skolem173(_u8454, _u8452))) )).
% 12.17/12.39 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8449), _u8453)) | hBOOL(hAPP(_u8455, _u8449)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem174(_u8455, _u8453)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8453))) )).
% 12.17/12.39 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8449), _u8453)) | hBOOL(hAPP(_u8455, _u8449)) | ~hBOOL(hAPP(_u8455, skolem174(_u8455, _u8453))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8456), _u8462)) | ~hBOOL(hAPP(_u8464, _u8456)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem175(_u8464, _u8462)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8462))) )).
% 12.17/12.39 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8456), _u8462)) | ~hBOOL(hAPP(_u8464, _u8456)) | hBOOL(hAPP(_u8464, skolem175(_u8464, _u8462))) )).
% 12.17/12.39 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8458), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8463))) | ~hBOOL(hAPP(_u8465, _u8458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem176(_u8465, _u8463)), _u8463)) )).
% 12.17/12.39 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8458), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8463))) | ~hBOOL(hAPP(_u8465, _u8458)) | hBOOL(hAPP(_u8465, skolem176(_u8465, _u8463))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8466), hAPP(c_Nat_OSuc, _u8467)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8466, _u8467)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u8468) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8468, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u8468, _u8469, _u8470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8468), _u8469), _u8470)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u8468) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8468), _u8469), _u8470)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8468, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8468, _u8469, _u8470)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u8471) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8471, _u8472, _u8473) != c_Orderings_Obot__class_Obot(tc_fun(_u8471, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), _u8472), _u8473)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u8471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), _u8472), _u8473)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8471, _u8472, _u8473) = c_Orderings_Obot__class_Obot(tc_fun(_u8471, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u8474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8474), _u8475), _u8476)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8474, _u8476, _u8475) = c_Orderings_Obot__class_Obot(tc_fun(_u8474, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u8477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8477, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8478, _u8479)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8480, _u8481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8478), _u8479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8480), _u8478)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u8477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8477, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8478, _u8479)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8480, _u8481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8478), _u8479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8479), _u8481)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u8477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8477, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8478, _u8479)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8480, _u8481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8478), _u8479)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u8477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8477, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8478, _u8479)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8480, _u8481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8480), _u8478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8479), _u8481)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u8482) | ( _u8483 != _u8484) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8482, _u8483, _u8484) = hAPP(hAPP(c_Set_Oinsert(_u8482), _u8483), c_Orderings_Obot__class_Obot(tc_fun(_u8482, tc_HOL_Obool)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u8485) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8485, _u8486, _u8487) != hAPP(hAPP(c_Set_Oinsert(_u8485), _u8488), c_Orderings_Obot__class_Obot(tc_fun(_u8485, tc_HOL_Obool)))) | ( _u8486 = _u8487) )).
% 12.17/12.39 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u8485) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8485, _u8486, _u8487) != hAPP(hAPP(c_Set_Oinsert(_u8485), _u8488), c_Orderings_Obot__class_Obot(tc_fun(_u8485, tc_HOL_Obool)))) | ( _u8487 = _u8488) )).
% 12.17/12.39 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u8485) | ( _u8486 != _u8487) | ( _u8487 != _u8488) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8485, _u8486, _u8487) = hAPP(hAPP(c_Set_Oinsert(_u8485), _u8488), c_Orderings_Obot__class_Obot(tc_fun(_u8485, tc_HOL_Obool)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u8489) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8489, _u8490, _u8490) = hAPP(hAPP(c_Set_Oinsert(_u8489), _u8490), c_Orderings_Obot__class_Obot(tc_fun(_u8489, tc_HOL_Obool)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8491) | ( hAPP(c_Set_Oimage(_u8491, _u8491, c_Groups_Ouminus__class_Ouminus(_u8491)), c_SetInterval_Oord__class_OatLeastAtMost(_u8491, _u8492, _u8493)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8491, hAPP(c_Groups_Ouminus__class_Ouminus(_u8491), _u8493), hAPP(c_Groups_Ouminus__class_Ouminus(_u8491), _u8492))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 12.17/12.39 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, _u8494, _u8495)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8494), hAPP(c_Nat_OSuc, _u8495))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8496) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8496), _u8497), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8498), hAPP(c_Nat_OSuc, _u8499))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8496), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8496, tc_Nat_Onat), _u8497), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8498, _u8499))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8500) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8500), _u8501), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8502), _u8503), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8504), _u8503))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8500), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8500, tc_Nat_Onat), _u8501), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8503))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8502, _u8504))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8505), _u8506) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8505, _u8506)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8507)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8508, _u8509)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8508), _u8507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8509), _u8507))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8510, _u8511)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8511)), _u8510)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8512), hAPP(c_Nat_OSuc, _u8513))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8512, hAPP(c_Nat_OSuc, _u8513)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8513)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8512, _u8513))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u8514, 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), _u8514), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8515)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u8514), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8515))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u8516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8516), _u8517), _u8518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8516), _u8518), _u8519)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8516, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8516, _u8517), _u8518)), c_SetInterval_Oord__class_OatLeastAtMost(_u8516, _u8518, _u8519)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8516, _u8517, _u8519)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u8520) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8520, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8520, _u8521), _u8522)), c_SetInterval_Oord__class_OatLeastAtMost(_u8520, _u8522, _u8523)) = c_Orderings_Obot__class_Obot(tc_fun(_u8520, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u8524) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8524, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8524, _u8525, _u8526)), c_SetInterval_Oord__class_OatLeastAtMost(_u8524, _u8527, _u8528)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8524, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8524), _u8525), _u8527), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8524), _u8526), _u8528))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8530)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8531), _u8533)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8529), _u8532), _u8530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8529), _u8531), _u8533)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8533)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u8529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u8529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8531), _u8533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8529), _u8532), _u8530)) )).
% 12.17/12.39 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u8529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8531), _u8533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8529), _u8531), _u8533)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u8534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8534), _u8535), _u8536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8534), _u8536), _u8537)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8534, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8534, _u8535, _u8536)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8534, _u8536, _u8537)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8534, _u8535, _u8537)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u8538) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8538, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8538), _u8539)), c_SetInterval_Oord__class_OatLeastAtMost(_u8538, _u8539, _u8540)) = c_Orderings_Obot__class_Obot(tc_fun(_u8538, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u8541) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8541, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8541, _u8542, _u8543)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8541, _u8543, _u8544)) = c_Orderings_Obot__class_Obot(tc_fun(_u8541, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u8545) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8545, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8545, _u8546, _u8547)), c_SetInterval_Oord__class_OatLeastAtMost(_u8545, _u8547, _u8548)) = c_Orderings_Obot__class_Obot(tc_fun(_u8545, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u8549) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8549, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8549, _u8550, _u8551)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8549, _u8551, _u8552)) = c_Orderings_Obot__class_Obot(tc_fun(_u8549, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u8553) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8553, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8553, _u8554, _u8555)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8553), _u8555)) = c_Orderings_Obot__class_Obot(tc_fun(_u8553, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8557), _u8558)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8556), _u8559), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8557, _u8558)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8556), hAPP(_u8559, _u8557)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8556), _u8559), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8557), _u8558)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8561)), _u8562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8560), _u8563), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8562, hAPP(c_Nat_OSuc, _u8561))) = c_Groups_Ozero__class_Ozero(_u8560)) )).
% 12.17/12.39 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8560) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8561)), _u8562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8560), _u8563), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8562, hAPP(c_Nat_OSuc, _u8561))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8560), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8560), _u8563), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8562, _u8561))), hAPP(_u8563, hAPP(c_Nat_OSuc, _u8561)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8565), _u8566)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8564), _u8567), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8565, _u8566)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8564), hAPP(_u8567, _u8565)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8564), _u8567), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8565, _u8566)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8570), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8568), _u8571), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8569, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8570), _u8572))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8568), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8568), _u8571), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8569, _u8570))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8568), _u8571), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8570), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8570), _u8572))))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u8573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8574), _u8575)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8573, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8573, _u8574), _u8575)), hAPP(hAPP(c_Set_Oinsert(_u8573), _u8575), c_Orderings_Obot__class_Obot(tc_fun(_u8573, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u8573, _u8574, _u8575)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u8576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8576), _u8577), _u8578)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8576, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8576), _u8577), c_Orderings_Obot__class_Obot(tc_fun(_u8576, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8576, _u8577, _u8578)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8576, _u8577, _u8578)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u8579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8579), _u8580), _u8581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8579), _u8581), _u8582)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8579, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8579, _u8580, _u8581)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8579, _u8581, _u8582)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8579, _u8580), _u8582)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u8583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8583), _u8584), _u8585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8583), _u8585), _u8586)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8583, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8583, _u8584, _u8585)), c_SetInterval_Oord__class_OatLeastAtMost(_u8583, _u8585, _u8586)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8583, _u8584, _u8586)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8587)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u8587)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8587), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8588, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8589)), _u8590) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8588, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8588, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8589)), _u8590)), hAPP(_u8590, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u8591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8591), _u8592), _u8593)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8591, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8591, _u8592, _u8593)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8591), _u8593)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8591), _u8592)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8598)) | ~hBOOL(hAPP(_u8597, _u8595)) | hBOOL(hAPP(_u8597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8598), _u8596)))) | hBOOL(hAPP(_u8597, skolem177(_u8598, _u8597, _u8596))) )).
% 12.17/12.39 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)), _u8596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8598)) | ~hBOOL(hAPP(_u8597, _u8595)) | hBOOL(hAPP(_u8597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8598), _u8596)))) | ~hBOOL(hAPP(_u8597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem177(_u8598, _u8597, _u8596)), _u8596))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_negD ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8600), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8600 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem178(_u8600))))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8601, _u8602))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8603))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8604) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8604), _u8605) != hAPP(c_SetInterval_Oord__class_OatMost(_u8604), _u8606)) | ( _u8605 = _u8606) )).
% 12.17/12.39 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8604) | ( _u8605 != _u8606) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8604), _u8605) = hAPP(c_SetInterval_Oord__class_OatMost(_u8604), _u8606)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8607) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8607), _u8608) != hAPP(c_SetInterval_Oord__class_OatLeast(_u8607), _u8609)) | ( _u8608 = _u8609) )).
% 12.17/12.39 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8607) | ( _u8608 != _u8609) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8607), _u8608) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8607), _u8609)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8610) | ( hAPP(c_Set_Oimage(_u8610, _u8610, c_Groups_Ouminus__class_Ouminus(_u8610)), hAPP(c_SetInterval_Oord__class_OatMost(_u8610), _u8611)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8610), hAPP(c_Groups_Ouminus__class_Ouminus(_u8610), _u8611))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8612) | ( hAPP(c_Set_Oimage(_u8612, _u8612, c_Groups_Ouminus__class_Ouminus(_u8612)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8612), _u8613)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8612), hAPP(c_Groups_Ouminus__class_Ouminus(_u8612), _u8613))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u8614) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8614, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8614), _u8615)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8614), _u8615)) = hAPP(hAPP(c_Set_Oinsert(_u8614), _u8615), c_Orderings_Obot__class_Obot(tc_fun(_u8614, tc_HOL_Obool)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8616) = 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), _u8616)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8617) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8617, _u8618)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8619) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8619)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8620)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8620)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8621)) = hAPP(c_Nat_OSuc, _u8621)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8622)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8622)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8622))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u8623) | ~hBOOL(hAPP(hAPP(c_member(_u8623), _u8624), hAPP(c_SetInterval_Oord__class_OatMost(_u8623), _u8625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), _u8625)) )).
% 12.17/12.39 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u8623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), _u8625)) | hBOOL(hAPP(hAPP(c_member(_u8623), _u8624), hAPP(c_SetInterval_Oord__class_OatMost(_u8623), _u8625))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u8626) | ~hBOOL(hAPP(hAPP(c_member(_u8626), _u8627), hAPP(c_SetInterval_Oord__class_OatLeast(_u8626), _u8628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8626), _u8628), _u8627)) )).
% 12.17/12.39 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u8626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8626), _u8628), _u8627)) | hBOOL(hAPP(hAPP(c_member(_u8626), _u8627), hAPP(c_SetInterval_Oord__class_OatLeast(_u8626), _u8628))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u8629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8629, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8629), _u8630)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8629), _u8631))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8629), _u8631), _u8630)) )).
% 12.17/12.39 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u8629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8629), _u8631), _u8630)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8629, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8629), _u8630)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8629), _u8631))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u8632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8632, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8632), _u8633)), hAPP(c_SetInterval_Oord__class_OatMost(_u8632), _u8634))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8632), _u8633), _u8634)) )).
% 12.17/12.39 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u8632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8632), _u8633), _u8634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8632, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8632), _u8633)), hAPP(c_SetInterval_Oord__class_OatMost(_u8632), _u8634))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8635)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8635, _u8636)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u8637), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8638), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8637, _u8638)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u8639) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8639, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8639), _u8640)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8639), _u8640)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u8641) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8641, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8641), _u8642)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8641), _u8642)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u8643) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8643, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8643), _u8644)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8643), _u8644)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u8645) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8645, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8645), _u8646)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8645), _u8646)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.17/12.39 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), _u8647), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8648) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u8647, _u8648)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8649)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u8649)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8650, _u8651) = 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), _u8650), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8651)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8652) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8652), _u8653), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8654))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8652), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8652), _u8653), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8654))), hAPP(_u8653, hAPP(c_Nat_OSuc, _u8654)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 12.17/12.39 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)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u8655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8655), _u8656), _u8657)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8655, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8655, _u8656), _u8657)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8655), _u8657)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8655), _u8656)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8660), _u8662)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8662, _u8660) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.17/12.39 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8661), _u8663)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8663, _u8661) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u8663), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8663), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8661))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u8664) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8664, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8664, _u8665), _u8666)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8664), _u8666)) = c_Orderings_Obot__class_Obot(tc_fun(_u8664, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u8667) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8667, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8667), _u8668)), c_SetInterval_Oord__class_OatLeastAtMost(_u8667, _u8669, _u8670)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8667, _u8669, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8667), _u8668), _u8670))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u8671) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8671, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8671, _u8672, _u8673)), hAPP(c_SetInterval_Oord__class_OatMost(_u8671), _u8674)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8671, _u8672, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8671), _u8673), _u8674))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u8675) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8675, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8675), _u8676)), c_SetInterval_Oord__class_OatLeastAtMost(_u8675, _u8677, _u8678)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8675, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8675), _u8676), _u8677), _u8678)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u8679) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8679, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8679, _u8680, _u8681)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8679), _u8682)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8679, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8679), _u8680), _u8682), _u8681)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 12.17/12.39 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))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u8683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8683), _u8684), _u8685)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8683, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8683), _u8684)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8683, _u8684, _u8685)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8683), _u8685)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8686, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8687)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8686, tc_HOL_Obool), tc_Nat_Onat), _u8688), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8689))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8686, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8689, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8687), _u8689))), _u8688)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u8690) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8690, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8690), _u8691)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8690, _u8691, _u8692)) = c_Orderings_Obot__class_Obot(tc_fun(_u8690, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u8693) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8693, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8693), _u8694)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8693, _u8694, _u8695)) = c_Orderings_Obot__class_Obot(tc_fun(_u8693, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u8696) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8696, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8696, _u8697, _u8698)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8696), _u8698)) = c_Orderings_Obot__class_Obot(tc_fun(_u8696, tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8699, _u8700)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8700), _u8699)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8701) | ~c_Nat__Transfer_Ois__nat(_u8702) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8701, _u8702) = 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, _u8701), hAPP(c_Int_Onat, _u8702)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u8703) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8703, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8703), _u8704)), hAPP(hAPP(c_Set_Oinsert(_u8703), _u8704), c_Orderings_Obot__class_Obot(tc_fun(_u8703, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u8703), _u8704)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), _u8706), _u8707)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8705, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8705), _u8706)), c_SetInterval_Oord__class_OatLeastAtMost(_u8705, _u8706, _u8707)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8705), _u8707)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u8708) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8708, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8708), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8708, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8708), _u8709)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8708), _u8709)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u8710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8710), _u8711), _u8712)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8710, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8710, _u8711, _u8712)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8710), _u8712)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8710), _u8711)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u8713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8713), _u8714), _u8715)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8713, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8713), _u8714)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8713, _u8714, _u8715)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8713), _u8715)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8719)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8720), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8718), _u8720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8718), _u8719)), _u8720)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem179(_u8721, _u8720, _u8719, _u8718)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8719))) )).
% 12.17/12.39 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)), _u8719)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8720), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8718), _u8720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8718), _u8719)), _u8720)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem180(_u8721, _u8720, _u8719, _u8718)), _u8721)) )).
% 12.17/12.39 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)), _u8719)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8720), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8718), _u8720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8718), _u8719)), _u8720)) | ( _u8718 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem180(_u8721, _u8720, _u8719, _u8718)), skolem179(_u8721, _u8720, _u8719, _u8718))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8725)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8726), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8724), _u8725))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem181(_u8727, _u8726, _u8725, _u8724)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8725))) )).
% 12.17/12.39 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)), _u8725)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8726), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8724), _u8725))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem182(_u8727, _u8726, _u8725, _u8724)), _u8727)) )).
% 12.17/12.39 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)), _u8725)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8726), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8724), _u8725))) | ( _u8724 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem182(_u8727, _u8726, _u8725, _u8724)), skolem181(_u8727, _u8726, _u8725, _u8724))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8731)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8732), _u8733)) | ( _u8730 = _u8732) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8730), _u8731) != _u8732) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem183(_u8733, _u8732, _u8731, _u8730)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8731))) )).
% 12.17/12.39 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)), _u8731)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8732), _u8733)) | ( _u8730 = _u8732) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8730), _u8731) != _u8732) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem184(_u8733, _u8732, _u8731, _u8730)), _u8733)) )).
% 12.17/12.39 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)), _u8731)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8732), _u8733)) | ( _u8730 = _u8732) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8730), _u8731) != _u8732) | ( _u8730 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem184(_u8733, _u8732, _u8731, _u8730)), skolem183(_u8733, _u8732, _u8731, _u8730))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8737)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8738), _u8739)) | ( _u8736 = _u8738) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8736), _u8737) != _u8738) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem185(_u8739, _u8738, _u8737, _u8736)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8737))) )).
% 12.17/12.39 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)), _u8737)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8738), _u8739)) | ( _u8736 = _u8738) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8736), _u8737) != _u8738) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem186(_u8739, _u8738, _u8737, _u8736)), _u8739)) )).
% 12.17/12.39 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)), _u8737)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8738), _u8739)) | ( _u8736 = _u8738) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8736), _u8737) != _u8738) | ( _u8736 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem186(_u8739, _u8738, _u8737, _u8736)), skolem185(_u8739, _u8738, _u8737, _u8736))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8743)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8744), _u8745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), _u8742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8742), _u8743))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem187(_u8745, _u8744, _u8743, _u8742)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8743))) )).
% 12.17/12.39 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)), _u8743)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8744), _u8745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), _u8742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8742), _u8743))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem188(_u8745, _u8744, _u8743, _u8742)), _u8745)) )).
% 12.17/12.39 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)), _u8743)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8744), _u8745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), _u8742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8742), _u8743))) | ( _u8742 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem188(_u8745, _u8744, _u8743, _u8742)), skolem187(_u8745, _u8744, _u8743, _u8742))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8748)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8750)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), _u8748) = _u8749) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem189(_u8750, _u8749, _u8748)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8748))) )).
% 12.17/12.39 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)), _u8748)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8750)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), _u8748) = _u8749) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem190(_u8750, _u8749, _u8748)), _u8750)) )).
% 12.17/12.39 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)), _u8748)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8750)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), _u8748) = _u8749) | ( _u8749 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem190(_u8750, _u8749, _u8748)), skolem189(_u8750, _u8749, _u8748))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8753)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8755)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), _u8753) = _u8754) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u8755, _u8754, _u8753)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8753))) )).
% 12.17/12.39 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)), _u8753)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8755)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), _u8753) = _u8754) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u8755, _u8754, _u8753)), _u8755)) )).
% 12.17/12.39 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)), _u8753)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8755)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), _u8753) = _u8754) | ( _u8754 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem192(_u8755, _u8754, _u8753)), skolem191(_u8755, _u8754, _u8753))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8759)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8760), _u8761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8758), _u8760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8758), _u8759)), _u8760)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u8761, _u8760, _u8759, _u8758)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8759))) )).
% 12.17/12.39 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)), _u8759)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8760), _u8761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8758), _u8760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8758), _u8759)), _u8760)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u8761, _u8760, _u8759, _u8758)), _u8761)) )).
% 12.17/12.39 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)), _u8759)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8760), _u8761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8758), _u8760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8758), _u8759)), _u8760)) | ( _u8758 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem194(_u8761, _u8760, _u8759, _u8758)), skolem193(_u8761, _u8760, _u8759, _u8758))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8764), _u8767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8764), _u8765)), _u8767)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u8767, _u8766, _u8765, _u8764)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8765))) )).
% 12.17/12.39 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)), _u8765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8764), _u8767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8764), _u8765)), _u8767)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u8767, _u8766, _u8765, _u8764)), _u8766)) )).
% 12.17/12.39 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)), _u8765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8764), _u8767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8764), _u8765)), _u8767)) | ( _u8764 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem196(_u8767, _u8766, _u8765, _u8764)), skolem195(_u8767, _u8766, _u8765, _u8764))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), _u8770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8770), _u8771))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem197(_u8773, _u8772, _u8771, _u8770)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8771))) )).
% 12.17/12.39 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)), _u8771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), _u8770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8770), _u8771))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem198(_u8773, _u8772, _u8771, _u8770)), _u8772)) )).
% 12.17/12.39 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)), _u8771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), _u8770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8770), _u8771))) | ( _u8770 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem198(_u8773, _u8772, _u8771, _u8770)), skolem197(_u8773, _u8772, _u8771, _u8770))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u8781, _u8780)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u8781, _u8780)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(_u8781, skolem203(_u8781, _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(_u8781, skolem203(_u8781, _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u8781, _u8780)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u8781, _u8780)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(_u8781, skolem203(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(_u8781, skolem203(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8778), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, _u8778)) | hBOOL(hAPP(_u8781, skolem204(_u8781, _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8778), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, _u8778)) | hBOOL(hAPP(_u8781, skolem204(_u8781, _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8778), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, _u8778)) | hBOOL(hAPP(_u8781, skolem204(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.17/12.39 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)), _u8780)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8778), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, _u8778)) | hBOOL(hAPP(_u8781, skolem204(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8788), _u8791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8788), _u8789)), _u8791)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem205(_u8791, _u8790, _u8789, _u8788)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8789))) )).
% 12.17/12.39 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)), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8788), _u8791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8788), _u8789)), _u8791)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem206(_u8791, _u8790, _u8789, _u8788)), _u8790)) )).
% 12.17/12.39 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)), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8788), _u8791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8788), _u8789)), _u8791)) | ( _u8788 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem206(_u8791, _u8790, _u8789, _u8788)), skolem205(_u8791, _u8790, _u8789, _u8788))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), _u8794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8794), _u8795))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem207(_u8797, _u8796, _u8795, _u8794)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8795))) )).
% 12.17/12.39 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)), _u8795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), _u8794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8794), _u8795))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem208(_u8797, _u8796, _u8795, _u8794)), _u8796)) )).
% 12.17/12.39 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)), _u8795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), _u8794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8794), _u8795))) | ( _u8794 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem208(_u8797, _u8796, _u8795, _u8794)), skolem207(_u8797, _u8796, _u8795, _u8794))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8802)) | ~hBOOL(hAPP(_u8801, _u8799)) | hBOOL(hAPP(_u8801, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8799), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8802), _u8800)))) | hBOOL(hAPP(_u8801, skolem209(_u8802, _u8801, _u8800))) )).
% 12.17/12.39 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)), _u8800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8802)) | ~hBOOL(hAPP(_u8801, _u8799)) | hBOOL(hAPP(_u8801, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8799), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8802), _u8800)))) | ~hBOOL(hAPP(_u8801, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem209(_u8802, _u8801, _u8800)), _u8800))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u8805, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8805, _u8806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem210(_u8806, _u8805)), _u8806)) )).
% 12.17/12.39 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u8805, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8805, _u8806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8803), skolem210(_u8806, _u8805))) | ~hBOOL(hAPP(_u8805, _u8803)) )).
% 12.17/12.39 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u8805, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8805, _u8806)) | hBOOL(hAPP(_u8805, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem210(_u8806, _u8805)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem211(_u8808))) )).
% 12.17/12.39 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)), _u8808)) | ( _u8808 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem211(_u8808))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8810) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8811), _u8812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8811, tc_HOL_Obool)), _u8813), _u8812)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8811, _u8810), _u8814), _u8812) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8811, _u8810), _u8814), _u8813)) | hBOOL(hAPP(hAPP(c_member(_u8811), skolem212(_u8814, _u8813, _u8812, _u8811, _u8810)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8811, tc_HOL_Obool)), _u8812), _u8813))) )).
% 12.17/12.39 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8810) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8811), _u8812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8811, tc_HOL_Obool)), _u8813), _u8812)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8811, _u8810), _u8814), _u8812) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8811, _u8810), _u8814), _u8813)) | ( hAPP(_u8814, skolem212(_u8814, _u8813, _u8812, _u8811, _u8810)) != c_Groups_Ozero__class_Ozero(_u8810)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8816) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8817), _u8818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8817, tc_HOL_Obool)), _u8819), _u8818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8817, _u8816), _u8820), _u8819) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8817, _u8816), _u8820), _u8818)) | hBOOL(hAPP(hAPP(c_member(_u8817), skolem213(_u8820, _u8819, _u8818, _u8817, _u8816)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8817, tc_HOL_Obool)), _u8818), _u8819))) )).
% 12.17/12.39 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8816) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8817), _u8818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8817, tc_HOL_Obool)), _u8819), _u8818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8817, _u8816), _u8820), _u8819) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8817, _u8816), _u8820), _u8818)) | ( hAPP(_u8820, skolem213(_u8820, _u8819, _u8818, _u8817, _u8816)) != c_Groups_Ozero__class_Ozero(_u8816)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8821), _u8822)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u8821, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8821), _u8822)) = 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(_u8821), _u8822))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8823), hAPP(c_Nat_OSuc, _u8824)) = 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)), _u8824)), _u8823)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8825)), _u8826) = 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), _u8825)), _u8826)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_PowI ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8827, tc_HOL_Obool)), _u8828), _u8829)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8827, tc_HOL_Obool)), _u8828), hAPP(c_Set_OPow(_u8827), _u8829))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8832, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8832), _u8834))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8832), _u8834)) )).
% 12.17/12.39 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8833), _u8835)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8833, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8833), _u8835))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u8836, _u8837, _u8838), _u8839) != _u8840) | ( hAPP(c_Set_Oimage(tc_fun(_u8836, tc_HOL_Obool), tc_fun(_u8837, tc_HOL_Obool), c_Set_Oimage(_u8836, _u8837, _u8838)), hAPP(c_Set_OPow(_u8836), _u8839)) = hAPP(c_Set_OPow(_u8837), _u8840)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u8841, tc_HOL_Obool)), _u8842), hAPP(c_Set_OPow(_u8841), _u8842))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u8844, tc_fun(_u8844, tc_HOL_Obool), _u8843), _u8845) != hAPP(c_Set_OPow(_u8844), _u8845)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u8846), _u8847) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8846, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u8848), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8849, tc_fun(_u8848, tc_HOL_Obool)), _u8850), _u8851)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8849, tc_fun(tc_fun(_u8848, tc_HOL_Obool), tc_HOL_Obool)), _u8850), hAPP(hAPP(c_COMBB(tc_fun(_u8848, tc_HOL_Obool), tc_fun(tc_fun(_u8848, tc_HOL_Obool), tc_HOL_Obool), _u8849), c_Set_OPow(_u8848)), _u8851))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u8852, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8852, tc_HOL_Obool))), hAPP(c_Set_OPow(_u8852), _u8853))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_PowD ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8854, tc_HOL_Obool)), _u8855), hAPP(c_Set_OPow(_u8854), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8854, tc_HOL_Obool)), _u8855), _u8856)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8860, tc_HOL_Obool)), _u8862), hAPP(c_Set_OPow(_u8860), _u8864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8860, tc_HOL_Obool)), _u8862), _u8864)) )).
% 12.17/12.39 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8861, tc_HOL_Obool)), _u8863), _u8865)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8861, tc_HOL_Obool)), _u8863), hAPP(c_Set_OPow(_u8861), _u8865))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u8866, _u8867, _u8868, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8867) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u8869, _u8870, _u8871, hAPP(c_Nat_OSuc, _u8872)) = hAPP(_u8871, _u8872)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8873, tc_HOL_Obool)), _u8874), _u8875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u8873, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u8873), _u8874)), hAPP(c_Set_OPow(_u8873), _u8875))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u8876), hAPP(hAPP(c_Set_Oinsert(_u8876), _u8877), _u8878)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u8876, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u8876), _u8878)), hAPP(c_Set_Oimage(tc_fun(_u8876, tc_HOL_Obool), tc_fun(_u8876, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u8876), _u8877)), hAPP(c_Set_OPow(_u8876), _u8878)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u8879), c_Orderings_Otop__class_Otop(tc_fun(_u8879, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u8879, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u8880, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8881, tc_fun(tc_fun(_u8880, tc_HOL_Obool), tc_HOL_Obool)), _u8882), hAPP(hAPP(c_COMBB(tc_fun(_u8880, tc_HOL_Obool), tc_fun(tc_fun(_u8880, tc_HOL_Obool), tc_HOL_Obool), _u8881), c_Set_OPow(_u8880)), _u8883))), hAPP(c_Set_OPow(_u8880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8881, tc_fun(_u8880, tc_HOL_Obool)), _u8882), _u8883)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u8884), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8884, tc_HOL_Obool)), _u8885), _u8886)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u8884, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u8884), _u8885)), hAPP(c_Set_OPow(_u8884), _u8886))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8887, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8888, _u8887, _u8889), _u8890)), _u8891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u8887, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u8888, tc_HOL_Obool), tc_fun(_u8887, tc_HOL_Obool), c_Set_Oimage(_u8888, _u8887, _u8889)), hAPP(c_Set_OPow(_u8888), _u8890))), hAPP(c_Set_OPow(_u8887), _u8891))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u8892), c_Orderings_Obot__class_Obot(tc_fun(_u8892, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u8892, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8892, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8892, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8893), hAPP(c_Nat_OSuc, _u8894)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8894), 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)), _u8894)), _u8893)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8895)), _u8896) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8895), 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), _u8895)), _u8896)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u8897, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u8897, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u8897), _u8898)), hAPP(c_Set_OPow(_u8897), _u8899))), hAPP(c_Set_OPow(_u8897), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8897, tc_HOL_Obool)), _u8898), _u8899)))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u8903, hAPP(hAPP(c_COMBC(_u8903, tc_fun(_u8903, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8903)), _u8905)), _u8907)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8903, tc_HOL_Obool)), _u8907), hAPP(c_Set_OPow(_u8903), _u8905))) )).
% 12.17/12.39 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8904, tc_HOL_Obool)), _u8908), hAPP(c_Set_OPow(_u8904), _u8906))) | hBOOL(hAPP(c_Predicate_OPowp(_u8904, hAPP(hAPP(c_COMBC(_u8904, tc_fun(_u8904, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8904)), _u8906)), _u8908)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8909), hAPP(c_Nat_OSuc, _u8910)) = 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), _u8909), _u8910))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8912) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8912), _u8913), _u8914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8912), c_Groups_Ozero__class_Ozero(_u8912)), skolem214(_u8914, _u8913, _u8912))) )).
% 12.17/12.39 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8912) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8912), _u8913), _u8914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8912), skolem214(_u8914, _u8913, _u8912)), c_Groups_Oone__class_Oone(_u8912))) )).
% 12.17/12.39 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8912) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8912), _u8913), _u8914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8912), skolem214(_u8914, _u8913, _u8912)), _u8913)), _u8914)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8916) | ~class_Groups_Ocomm__monoid__mult(_u8916) | ( _u8917 != _u8918) | ~c_Nat__Transfer_Onat__set(_u8918) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8916), _u8919), _u8917) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8916), _u8920), _u8918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem215(_u8920, _u8919, _u8918, _u8917, _u8916))) )).
% 12.17/12.39 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8916) | ~class_Groups_Ocomm__monoid__mult(_u8916) | ( _u8917 != _u8918) | ~c_Nat__Transfer_Onat__set(_u8918) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8916), _u8919), _u8917) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8916), _u8920), _u8918)) | ( hAPP(_u8919, skolem215(_u8920, _u8919, _u8918, _u8917, _u8916)) != hAPP(_u8920, skolem215(_u8920, _u8919, _u8918, _u8917, _u8916))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u8925)) | ~hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8921), _u8925)) | ( _u8927 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8925), _u8922)), _u8921)) | hBOOL(hAPP(hAPP(_u8926, _u8922), _u8921)) )).
% 12.17/12.39 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)), _u8925)) | hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem217(_u8927, _u8926, _u8925))) )).
% 12.17/12.39 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)), _u8925)) | hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem217(_u8927, _u8926, _u8925)), _u8925)) )).
% 12.17/12.39 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)), _u8925)) | hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | ( _u8927 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8925), skolem216(_u8927, _u8926, _u8925))), skolem217(_u8927, _u8926, _u8925))) )).
% 12.17/12.39 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)), _u8925)) | hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | ~hBOOL(hAPP(hAPP(_u8926, skolem216(_u8927, _u8926, _u8925)), skolem217(_u8927, _u8926, _u8925))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), _u8928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8928), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8934 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8932), _u8929)), _u8928)) | hBOOL(hAPP(hAPP(_u8933, _u8929), _u8928)) )).
% 12.17/12.39 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), skolem219(_u8934, _u8933, _u8932))) )).
% 12.17/12.39 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem219(_u8934, _u8933, _u8932)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.39 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | ( _u8934 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8932), skolem218(_u8934, _u8933, _u8932))), skolem219(_u8934, _u8933, _u8932))) )).
% 12.17/12.39 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | ~hBOOL(hAPP(hAPP(_u8933, skolem218(_u8934, _u8933, _u8932)), skolem219(_u8934, _u8933, _u8932))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 12.17/12.39 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, _u8935, _u8936)), _u8937), _u8936) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8935), _u8937), _u8936)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 12.17/12.39 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, _u8938, _u8939)), _u8940), _u8939) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8938), _u8940), _u8939)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 12.17/12.39 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), _u8941), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8942, _u8943)), _u8943) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8941), _u8942), _u8943)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u8944) | ( c_Divides_Odiv__class_Omod(_u8944, _u8945, _u8946) != c_Divides_Odiv__class_Omod(_u8944, _u8947, _u8946)) | ( c_Divides_Odiv__class_Omod(_u8944, _u8948, _u8946) != c_Divides_Odiv__class_Omod(_u8944, _u8949, _u8946)) | ( c_Divides_Odiv__class_Omod(_u8944, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8944), _u8945), _u8948), _u8946) = c_Divides_Odiv__class_Omod(_u8944, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8944), _u8947), _u8949), _u8946)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u8950) | ( c_Divides_Odiv__class_Omod(_u8950, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8950), _u8951), _u8952), _u8953) = c_Divides_Odiv__class_Omod(_u8950, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8950), c_Divides_Odiv__class_Omod(_u8950, _u8951, _u8953)), c_Divides_Odiv__class_Omod(_u8950, _u8952, _u8953)), _u8953)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u8954) | ( c_Divides_Odiv__class_Omod(_u8954, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8954), _u8955), _u8956), _u8957) = c_Divides_Odiv__class_Omod(_u8954, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8954), c_Divides_Odiv__class_Omod(_u8954, _u8955, _u8957)), _u8956), _u8957)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u8958) | ( c_Divides_Odiv__class_Omod(_u8958, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8958), _u8959), _u8960), _u8961) = c_Divides_Odiv__class_Omod(_u8958, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8958), _u8959), c_Divides_Odiv__class_Omod(_u8958, _u8960, _u8961)), _u8961)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.39 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), _u8962), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8963, _u8964)), _u8964) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8962), _u8963), _u8964)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 12.17/12.39 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), _u8965), _u8966), _u8967) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8965), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8966, _u8967)), _u8967)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8968, _u8968) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u8969) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u8970) | ( c_Divides_Odiv__class_Omod(_u8970, _u8971, _u8972) != c_Divides_Odiv__class_Omod(_u8970, _u8973, _u8972)) | ( c_Divides_Odiv__class_Omod(_u8970, _u8974, _u8972) != c_Divides_Odiv__class_Omod(_u8970, _u8975, _u8972)) | ( c_Divides_Odiv__class_Omod(_u8970, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8970), _u8971), _u8974), _u8972) = c_Divides_Odiv__class_Omod(_u8970, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8970), _u8973), _u8975), _u8972)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u8976) | ( c_Divides_Odiv__class_Omod(_u8976, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8976), c_Divides_Odiv__class_Omod(_u8976, _u8977, _u8978)), _u8979), _u8978) = c_Divides_Odiv__class_Omod(_u8976, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8976), _u8977), _u8979), _u8978)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u8980) | ( c_Divides_Odiv__class_Omod(_u8980, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8980), _u8981), c_Divides_Odiv__class_Omod(_u8980, _u8982, _u8983)), _u8983) = c_Divides_Odiv__class_Omod(_u8980, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8980), _u8981), _u8982), _u8983)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u8984) | ( c_Divides_Odiv__class_Omod(_u8984, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8984), _u8985), _u8986), _u8987) = c_Divides_Odiv__class_Omod(_u8984, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8984), c_Divides_Odiv__class_Omod(_u8984, _u8985, _u8987)), c_Divides_Odiv__class_Omod(_u8984, _u8986, _u8987)), _u8987)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u8988) | ( c_Divides_Odiv__class_Omod(_u8988, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8988), _u8989), _u8990), _u8991) = c_Divides_Odiv__class_Omod(_u8988, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8988), c_Divides_Odiv__class_Omod(_u8988, _u8989, _u8991)), _u8990), _u8991)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u8992) | ( c_Divides_Odiv__class_Omod(_u8992, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8992), _u8993), _u8994), _u8995) = c_Divides_Odiv__class_Omod(_u8992, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8992), _u8993), c_Divides_Odiv__class_Omod(_u8992, _u8994, _u8995)), _u8995)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u8996) | ( c_Divides_Odiv__class_Omod(_u8996, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8996), _u8997), _u8998), _u8997) = c_Divides_Odiv__class_Omod(_u8996, _u8998, _u8997)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u8999) | ( c_Divides_Odiv__class_Omod(_u8999, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8999), _u9000), _u9001), _u9001) = c_Divides_Odiv__class_Omod(_u8999, _u9000, _u9001)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u9002) | ( c_Divides_Odiv__class_Omod(_u9002, hAPP(c_Groups_Ouminus__class_Ouminus(_u9002), _u9003), _u9004) = c_Divides_Odiv__class_Omod(_u9002, hAPP(c_Groups_Ouminus__class_Ouminus(_u9002), c_Divides_Odiv__class_Omod(_u9002, _u9003, _u9004)), _u9004)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u9005) | ( c_Divides_Odiv__class_Omod(_u9005, _u9006, _u9007) != c_Divides_Odiv__class_Omod(_u9005, _u9008, _u9007)) | ( c_Divides_Odiv__class_Omod(_u9005, hAPP(c_Groups_Ouminus__class_Ouminus(_u9005), _u9006), _u9007) = c_Divides_Odiv__class_Omod(_u9005, hAPP(c_Groups_Ouminus__class_Ouminus(_u9005), _u9008), _u9007)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u9009) | ( c_Divides_Odiv__class_Omod(_u9009, _u9010, _u9010) = c_Groups_Ozero__class_Ozero(_u9009)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9011) | ( c_Divides_Odiv__class_Omod(_u9011, _u9012, c_Groups_Ozero__class_Ozero(_u9011)) = _u9012) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9013) | ( c_Divides_Odiv__class_Omod(_u9013, c_Groups_Ozero__class_Ozero(_u9013), _u9014) = c_Groups_Ozero__class_Ozero(_u9013)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u9015) | ( c_Divides_Odiv__class_Omod(_u9015, c_Divides_Odiv__class_Omod(_u9015, _u9016, _u9017), _u9017) = c_Divides_Odiv__class_Omod(_u9015, _u9016, _u9017)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u9018) | ( c_Divides_Odiv__class_Omod(_u9018, _u9019, _u9020) != c_Divides_Odiv__class_Omod(_u9018, _u9021, _u9020)) | ( c_Divides_Odiv__class_Omod(_u9018, _u9022, _u9020) != c_Divides_Odiv__class_Omod(_u9018, _u9023, _u9020)) | ( c_Divides_Odiv__class_Omod(_u9018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9018), _u9019), _u9022), _u9020) = c_Divides_Odiv__class_Omod(_u9018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9018), _u9021), _u9023), _u9020)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u9024) | ( c_Divides_Odiv__class_Omod(_u9024, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9024), c_Divides_Odiv__class_Omod(_u9024, _u9025, _u9026)), _u9027), _u9026) = c_Divides_Odiv__class_Omod(_u9024, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9024), _u9025), _u9027), _u9026)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u9028) | ( c_Divides_Odiv__class_Omod(_u9028, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9028), _u9029), _u9030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9028), _u9031), _u9030)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9028), c_Divides_Odiv__class_Omod(_u9028, _u9029, _u9031)), _u9030)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u9032) | ( c_Divides_Odiv__class_Omod(_u9032, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9032), _u9033), _u9034), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9032), _u9033), _u9035)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9032), _u9033), c_Divides_Odiv__class_Omod(_u9032, _u9034, _u9035))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9036) | ( c_Divides_Odiv__class_Omod(_u9036, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9036), _u9037), _u9038), _u9039) = c_Divides_Odiv__class_Omod(_u9036, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9036), c_Divides_Odiv__class_Omod(_u9036, _u9037, _u9039)), c_Divides_Odiv__class_Omod(_u9036, _u9038, _u9039)), _u9039)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9040) | ( c_Divides_Odiv__class_Omod(_u9040, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9040), _u9041), _u9042), _u9043) = c_Divides_Odiv__class_Omod(_u9040, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9040), c_Divides_Odiv__class_Omod(_u9040, _u9041, _u9043)), _u9042), _u9043)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9044) | ( c_Divides_Odiv__class_Omod(_u9044, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9044), _u9045), _u9046), _u9047) = c_Divides_Odiv__class_Omod(_u9044, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9044), _u9045), c_Divides_Odiv__class_Omod(_u9044, _u9046, _u9047)), _u9047)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 12.17/12.39 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, _u9048, _u9049)), _u9049) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9048), _u9049)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9050), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9051)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9050, _u9051))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9052, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9053)) = 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), _u9052), _u9053))) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u9054) | ~c_Nat__Transfer_Ois__nat(_u9055) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9054, _u9055)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9056) | ( c_Divides_Odiv__class_Omod(_u9056, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9056), _u9057), _u9058), _u9057) = c_Groups_Ozero__class_Ozero(_u9056)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9059) | ( c_Divides_Odiv__class_Omod(_u9059, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9059), _u9060), _u9061), _u9061) = c_Groups_Ozero__class_Ozero(_u9059)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9062) | ( c_Divides_Odiv__class_Omod(_u9062, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9062), _u9063), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9062), _u9064), _u9065)), _u9064) = c_Divides_Odiv__class_Omod(_u9062, _u9063, _u9064)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9066) | ( c_Divides_Odiv__class_Omod(_u9066, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9066), _u9067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9066), _u9068), _u9069)), _u9069) = c_Divides_Odiv__class_Omod(_u9066, _u9067, _u9069)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u9070) | ( c_Divides_Odiv__class_Omod(_u9070, _u9071, c_Groups_Oone__class_Oone(_u9070)) = c_Groups_Ozero__class_Ozero(_u9070)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 12.17/12.39 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u9072) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9072), c_Divides_Odiv__class_Omod(_u9072, _u9073, _u9074)), _u9074) = c_Groups_Ozero__class_Ozero(_u9072)) )).
% 12.17/12.39
% 12.17/12.39 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 12.17/12.39 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)), _u9075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9075, _u9076)), _u9075)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9078)) | 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, _u9077, _u9078))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9080, _u9079)), _u9079)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9081), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9081), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9082, _u9081))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9087, _u9089) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9087 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9089), skolem220(_u9089, _u9087))) )).
% 12.17/12.40 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u9088 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9090), _u9084)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9088, _u9090) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9091), _u9092) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9091, _u9092) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9093, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9094)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9093, _u9094) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 12.17/12.40 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, _u9095, _u9096)), _u9096) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9098), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9099, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u9099) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9100), _u9101)), _u9102) = 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), _u9100), _u9102)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9101), _u9102))), 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, _u9100, _u9102)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9101, _u9102))), _u9102))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u9103) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9103), c_Divides_Odiv__class_Omod(_u9103, _u9104, _u9105)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9103), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9103), _u9104), _u9105)), _u9105)) = _u9104) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u9106) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9106), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9106), _u9107), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9106), _u9108), _u9107))), c_Divides_Odiv__class_Omod(_u9106, _u9108, _u9107)) = _u9108) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u9109) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9109), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9109), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9109), _u9110), _u9111)), _u9111)), c_Divides_Odiv__class_Omod(_u9109, _u9110, _u9111)) = _u9110) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u9112) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9112), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9112), _u9113), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9112), _u9114), _u9113))), c_Divides_Odiv__class_Omod(_u9112, _u9114, _u9113))), _u9115) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9112), _u9114), _u9115)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u9116) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9116), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9116), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9116), _u9117), _u9118)), _u9118)), c_Divides_Odiv__class_Omod(_u9116, _u9117, _u9118))), _u9119) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9116), _u9117), _u9119)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9121), _u9120)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9120, _u9121) = _u9120) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9122), 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, _u9123, _u9122)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9122), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9122), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9123, _u9122))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9124), 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, _u9125, _u9124)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9126), _u9127)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9126, _u9127) = _u9126) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9128)) | 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, _u9129, _u9128))) )).
% 12.17/12.40 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)), _u9128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9129, _u9128)), _u9128)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9130)) | 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, _u9131, _u9130))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9134, _u9136) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9134, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9136)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9135, _u9137) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9135, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9137)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9135, _u9137)), _u9137)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9140, _u9142) != 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), _u9140), _u9142) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9141, _u9143) = 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), _u9141), _u9143) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9143), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9141, _u9143))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u9144 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9145), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9144), _u9145))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9144, _u9145))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9146), _u9147)), _u9148) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9146), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9147), _u9148))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9146), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9147, _u9148))), _u9148))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9149), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9150), _u9149))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9150, _u9149))), _u9151) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9150), _u9151)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9152), _u9153)), _u9153)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9152, _u9153))), _u9154) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9152), _u9154)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9155), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9155)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9156), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9156, _u9155))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9157, _u9158) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9157), _u9158)), _u9158))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9159)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9159), _u9160)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9159, _u9160) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9159), _u9160)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u9161 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9162), _u9163)), _u9164)) | ( _u9162 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9161, _u9162) = _u9164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9162), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9164), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u9161 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9162), _u9163)), _u9164)) | ( _u9162 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9161, _u9162) = _u9164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9164), _u9162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9162)) )).
% 12.17/12.40 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u9161 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9162), _u9163)), _u9164)) | ( _u9162 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9161, _u9162) = _u9164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9164), _u9162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9162), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9164), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9165)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9166), _u9167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9167), 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), _u9166), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9168, _u9165))), _u9167)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9169)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9170), _u9171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9171), 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), _u9170), _u9169)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9170), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9172, _u9169))), _u9171))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9173)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9174), _u9175)) | 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), _u9175), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9176, _u9173))), _u9174)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9175), _u9173))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9178), _u9179)) | 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), _u9179), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9180, _u9177))), _u9178))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u9192, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9194, _u9196))) | ( _u9196 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9192, _u9194)) )).
% 12.17/12.40 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u9192, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9194, _u9196))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9181), _u9196)) | ( _u9194 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9196), _u9182)), _u9181)) | hBOOL(hAPP(_u9192, _u9181)) )).
% 12.17/12.40 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u9192, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9194, _u9196))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9196), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9196), _u9183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9183), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9194 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9196), _u9184)), _u9183)) | hBOOL(hAPP(_u9192, _u9183)) )).
% 12.17/12.40 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = 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)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = 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)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.17/12.40 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9198)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9199, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9200), _u9198)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9200), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9199), _u9200), _u9198))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9199, _u9200))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u9201 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9202, _u9201) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9202), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9201)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9202), _u9201))) )).
% 12.17/12.40 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u9201 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9202, _u9201) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9202), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9201)) = 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), _u9202), _u9201))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u9203 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9204, _u9203) != 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), _u9204)), _u9203) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9204), _u9203))) )).
% 12.17/12.40 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u9203 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9204, _u9203) = 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), _u9204)), _u9203) = 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), _u9204), _u9203))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 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, _u9207)), _u9209)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9207), _u9209)) )).
% 12.17/12.40 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), _u9208), _u9210)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9208)), _u9210)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9213)) | ( c_SMT_Oz3mod(_u9215, _u9213) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9215, _u9213)) )).
% 12.17/12.40 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)), _u9214)) | ( c_SMT_Oz3mod(_u9216, _u9214) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9216, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9214))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u9217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9218), c_Groups_Ozero__class_Ozero(_u9217))) | ( c_Groups_Osgn__class_Osgn(_u9217, _u9218) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9217), c_Groups_Oone__class_Oone(_u9217))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u9219) | ( c_Groups_Osgn__class_Osgn(_u9219, _u9220) != hAPP(c_Groups_Ouminus__class_Ouminus(_u9219), c_Groups_Oone__class_Oone(_u9219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9219), _u9220), c_Groups_Ozero__class_Ozero(_u9219))) )).
% 12.17/12.40 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u9219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9219), _u9220), c_Groups_Ozero__class_Ozero(_u9219))) | ( c_Groups_Osgn__class_Osgn(_u9219, _u9220) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9219), c_Groups_Oone__class_Oone(_u9219))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u9221) | ( _u9222 != c_Groups_Ozero__class_Ozero(_u9221)) | ( c_Groups_Osgn__class_Osgn(_u9221, _u9222) = c_Groups_Ozero__class_Ozero(_u9221)) )).
% 12.17/12.40 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u9221) | ( _u9222 = c_Groups_Ozero__class_Ozero(_u9221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9221), c_Groups_Ozero__class_Ozero(_u9221)), _u9222)) | ( c_Groups_Osgn__class_Osgn(_u9221, _u9222) = c_Groups_Oone__class_Oone(_u9221)) )).
% 12.17/12.40 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u9221) | ( _u9222 = c_Groups_Ozero__class_Ozero(_u9221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9221), c_Groups_Ozero__class_Ozero(_u9221)), _u9222)) | ( c_Groups_Osgn__class_Osgn(_u9221, _u9222) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9221), c_Groups_Oone__class_Oone(_u9221))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9223), _u9224)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9223, _u9224) = _u9223) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9225), _u9226) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9225, _u9226)), _u9226)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.40 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, _u9227, _u9228)), _u9229) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9227), _u9229), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9228), _u9229))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9230), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9231, _u9232)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9230), _u9231), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9230), _u9232))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 12.17/12.40 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, _u9233, _u9234)), _u9233)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u9235) | ( c_Groups_Osgn__class_Osgn(_u9235, c_Groups_Osgn__class_Osgn(_u9235, _u9236)) = c_Groups_Osgn__class_Osgn(_u9235, _u9236)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u9237) | ( c_Groups_Osgn__class_Osgn(_u9237, _u9238) != c_Groups_Ozero__class_Ozero(_u9237)) | ( _u9238 = c_Groups_Ozero__class_Ozero(_u9237)) )).
% 12.17/12.40 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u9237) | ( _u9238 != c_Groups_Ozero__class_Ozero(_u9237)) | ( c_Groups_Osgn__class_Osgn(_u9237, _u9238) = c_Groups_Ozero__class_Ozero(_u9237)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u9239) | ( c_Groups_Osgn__class_Osgn(_u9239, c_Groups_Ozero__class_Ozero(_u9239)) = c_Groups_Ozero__class_Ozero(_u9239)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u9240) | ( c_Groups_Osgn__class_Osgn(_u9240, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9240), _u9241), _u9242)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9240), c_Groups_Osgn__class_Osgn(_u9240, _u9241)), c_Groups_Osgn__class_Osgn(_u9240, _u9242))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9245, _u9247)) != _u9247) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9245), _u9247) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9246, _u9248)) = _u9248) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9246), _u9248) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9246, _u9248))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9249, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9251, _u9250)), _u9250)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9256, _u9258) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9256 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9258), skolem225(_u9258, _u9256))) )).
% 12.17/12.40 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u9257 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9259), _u9253)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9257, _u9259) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9262), _u9264)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9262, _u9264) = _u9262) )).
% 12.17/12.40 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9263), _u9265)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9263, _u9265) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9263), _u9265), _u9265)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9266), _u9267)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9266, _u9267) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9266), _u9267), _u9267)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9268), _u9269)), _u9270), _u9269) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9270, _u9269)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9271), _u9272)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9272, _u9271) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9272), _u9271), _u9271)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9273), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9274)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9273, _u9274))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 12.17/12.40 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, _u9275, _u9276)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9275), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9276))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9277), _u9278)), _u9279) = 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), _u9277), _u9279)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9278), _u9279))), 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, _u9277, _u9279)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9278, _u9279))), _u9279))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9281, _u9280)), _u9280)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9282), _u9283)), _u9284)), _u9283) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9284), _u9283)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u9285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9285), c_Groups_Ozero__class_Ozero(_u9285)), c_Groups_Osgn__class_Osgn(_u9285, _u9286))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9285), c_Groups_Ozero__class_Ozero(_u9285)), _u9286)) )).
% 12.17/12.40 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u9285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9285), c_Groups_Ozero__class_Ozero(_u9285)), _u9286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9285), c_Groups_Ozero__class_Ozero(_u9285)), c_Groups_Osgn__class_Osgn(_u9285, _u9286))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u9287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9287), c_Groups_Osgn__class_Osgn(_u9287, _u9288)), c_Groups_Ozero__class_Ozero(_u9287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9287), _u9288), c_Groups_Ozero__class_Ozero(_u9287))) )).
% 12.17/12.40 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u9287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9287), _u9288), c_Groups_Ozero__class_Ozero(_u9287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9287), c_Groups_Osgn__class_Osgn(_u9287, _u9288)), c_Groups_Ozero__class_Ozero(_u9287))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9289, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9290), _u9291)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9290), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9289), _u9290), _u9291))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9289, _u9290))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9292), _u9293)), _u9294) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9292), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9293), _u9294))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9292), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9293, _u9294))), _u9294))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9295), _u9296)), _u9296) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9295), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9295, _u9296))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9297), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9298), _u9297)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9298), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9298, _u9297))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9299, _u9300) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9299), _u9300)), _u9300))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u9308, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9310, _u9312))) | ( _u9312 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9308, _u9310)) )).
% 12.17/12.40 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u9308, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9310, _u9312))) | ( _u9312 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9301), _u9312)) | ( _u9310 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9312), _u9302)), _u9301)) | hBOOL(hAPP(_u9308, _u9301)) )).
% 12.17/12.40 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ( _u9313 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem227(_u9313, _u9311, _u9309)), _u9313)) )).
% 12.17/12.40 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ( _u9313 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9311 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9313), skolem226(_u9313, _u9311, _u9309))), skolem227(_u9313, _u9311, _u9309))) )).
% 12.17/12.40 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ( _u9313 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9309, skolem227(_u9313, _u9311, _u9309))) )).
% 12.17/12.40 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ~hBOOL(hAPP(_u9309, _u9311)) | ( _u9313 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ~hBOOL(hAPP(_u9309, _u9311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem227(_u9313, _u9311, _u9309)), _u9313)) )).
% 12.17/12.40 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ~hBOOL(hAPP(_u9309, _u9311)) | ( _u9311 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9313), skolem226(_u9313, _u9311, _u9309))), skolem227(_u9313, _u9311, _u9309))) )).
% 12.17/12.40 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ~hBOOL(hAPP(_u9309, _u9311)) | ~hBOOL(hAPP(_u9309, skolem227(_u9313, _u9311, _u9309))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9315), _u9316)) | 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), _u9316), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9317, _u9314))), _u9315)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9316), _u9314))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9318)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9318), _u9319)), _u9318) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9321)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9320), hAPP(c_Int_Onat, _u9321)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9320, _u9321))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9323)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9322, _u9323)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9322), hAPP(c_Int_Onat, _u9323))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u9324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9324), c_Groups_Ozero__class_Ozero(_u9324)), _u9325)) | ( c_Groups_Osgn__class_Osgn(_u9324, _u9325) = c_Groups_Oone__class_Oone(_u9324)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u9326) | ( c_Groups_Osgn__class_Osgn(_u9326, _u9327) != c_Groups_Oone__class_Oone(_u9326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9326), c_Groups_Ozero__class_Ozero(_u9326)), _u9327)) )).
% 12.17/12.40 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u9326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9326), c_Groups_Ozero__class_Ozero(_u9326)), _u9327)) | ( c_Groups_Osgn__class_Osgn(_u9326, _u9327) = c_Groups_Oone__class_Oone(_u9326)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zsgn__def-1, axiom, ( ( _u9329 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9329) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40 cnf(fact_zsgn__def-2, axiom, ( ( _u9330 = 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)), _u9330)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9330) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.40 cnf(fact_zsgn__def-3, axiom, ( ( _u9330 = 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)), _u9330)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9330) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9331)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9332), 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), _u9332), _u9333))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9331))), _u9333)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9335), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9336), 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), _u9336), _u9335))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9334)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9338) | ~class_Groups_Ocomm__monoid__mult(_u9338) | ( _u9339 != _u9340) | ~c_Nat__Transfer_Onat__set(_u9340) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u9338), _u9341), _u9339) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u9338), _u9342), _u9340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem228(_u9342, _u9341, _u9340, _u9339, _u9338))) )).
% 12.17/12.40 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9338) | ~class_Groups_Ocomm__monoid__mult(_u9338) | ( _u9339 != _u9340) | ~c_Nat__Transfer_Onat__set(_u9340) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u9338), _u9341), _u9339) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u9338), _u9342), _u9340)) | ( hAPP(_u9341, skolem228(_u9342, _u9341, _u9340, _u9339, _u9338)) != hAPP(_u9342, skolem228(_u9342, _u9341, _u9340, _u9339, _u9338))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9343) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9343), _u9344)) | ( c_Complete__Lattice_OSup__class_OSup(_u9343, _u9344) = hAPP(hAPP(c_Finite__Set_Ofold(_u9343, _u9343, c_Lattices_Osemilattice__sup__class_Osup(_u9343)), c_Orderings_Obot__class_Obot(_u9343)), _u9344)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9345, tc_HOL_Obool)), _u9346), _u9347)) | ~hBOOL(hAPP(hAPP(c_member(_u9345), _u9348), _u9346)) | hBOOL(hAPP(hAPP(c_member(_u9345), _u9348), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9345, tc_HOL_Obool), _u9347))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9349), hAPP(c_Groups_Oabs__class_Oabs(_u9349), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9350, _u9349), _u9351), _u9352))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9350, _u9349), hAPP(hAPP(c_COMBB(_u9349, _u9349, _u9350), c_Groups_Oabs__class_Oabs(_u9349)), _u9351)), _u9352))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9353) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9353), c_Groups_Ozero__class_Ozero(_u9353)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9354, _u9353), hAPP(hAPP(c_COMBB(_u9353, _u9353, _u9354), c_Groups_Oabs__class_Oabs(_u9353)), _u9355)), _u9356))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9357, tc_HOL_Obool), hAPP(c_Set_OPow(_u9357), _u9358)) = _u9358) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9359) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9359), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9359), _u9360), _u9361)) = hAPP(c_Groups_Oabs__class_Oabs(_u9359), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9359), _u9361), _u9360))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9362), hAPP(c_Groups_Oabs__class_Oabs(_u9362), _u9363)), _u9364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9362), _u9363), _u9364)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9365), _u9366), hAPP(c_Groups_Oabs__class_Oabs(_u9365), _u9366))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u9367) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9367), c_Groups_Oone__class_Oone(_u9367)) = c_Groups_Oone__class_Oone(_u9367)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9368) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9368), hAPP(c_Groups_Ouminus__class_Ouminus(_u9368), _u9369)) = hAPP(c_Groups_Oabs__class_Oabs(_u9368), _u9369)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u9370) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9370), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9370), _u9371)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9370), _u9371)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u9372) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9372), hAPP(hAPP(c_Power_Opower__class_Opower(_u9372), _u9373), _u9374)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9372), hAPP(c_Groups_Oabs__class_Oabs(_u9372), _u9373)), _u9374)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9375) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9375), hAPP(c_Groups_Oabs__class_Oabs(_u9375), _u9376)) = hAPP(c_Groups_Oabs__class_Oabs(_u9375), _u9376)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u9377) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9377), _u9378), _u9379)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9377), hAPP(c_Groups_Oabs__class_Oabs(_u9377), _u9378)), hAPP(c_Groups_Oabs__class_Oabs(_u9377), _u9379))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u9380) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9380), hAPP(c_Groups_Oabs__class_Oabs(_u9380), _u9381)), hAPP(c_Groups_Oabs__class_Oabs(_u9380), _u9381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9380), _u9381), _u9381)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9382) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9382), hAPP(c_Groups_Oabs__class_Oabs(_u9382), _u9383)), hAPP(c_Groups_Oabs__class_Oabs(_u9382), _u9384))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9382), hAPP(c_Groups_Oabs__class_Oabs(_u9382), _u9383)), hAPP(c_Groups_Oabs__class_Oabs(_u9382), _u9384))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9385) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9385), _u9386) != c_Groups_Ozero__class_Ozero(_u9385)) | ( _u9386 = c_Groups_Ozero__class_Ozero(_u9385)) )).
% 12.17/12.40 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9385) | ( _u9386 != c_Groups_Ozero__class_Ozero(_u9385)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9385), _u9386) = c_Groups_Ozero__class_Ozero(_u9385)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9387) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9387), c_Groups_Ozero__class_Ozero(_u9387)) = c_Groups_Ozero__class_Ozero(_u9387)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9388)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9388)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9389) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9389), _u9390), _u9391)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9389), hAPP(c_Groups_Oabs__class_Oabs(_u9389), _u9390)), hAPP(c_Groups_Oabs__class_Oabs(_u9389), _u9391))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9392) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9392), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9393, _u9392), hAPP(hAPP(c_COMBB(_u9392, _u9392, _u9393), c_Groups_Oabs__class_Oabs(_u9392)), _u9394)), _u9395)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9393, _u9392), hAPP(hAPP(c_COMBB(_u9392, _u9392, _u9393), c_Groups_Oabs__class_Oabs(_u9392)), _u9394)), _u9395)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u9396) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9396), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9397, _u9396), _u9398), _u9399)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9397, _u9396), hAPP(hAPP(c_COMBB(_u9396, _u9396, _u9397), c_Groups_Oabs__class_Oabs(_u9396)), _u9398)), _u9399)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u9400, _u9401, _u9402), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9400, tc_HOL_Obool), _u9403)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9400, tc_HOL_Obool), tc_fun(_u9401, tc_HOL_Obool)), _u9403), c_Set_Oimage(_u9400, _u9401, _u9402))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9404, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9404, tc_HOL_Obool), _u9405)), _u9406) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9404, tc_HOL_Obool), tc_fun(_u9404, tc_HOL_Obool)), _u9405), hAPP(hAPP(c_COMBC(tc_fun(_u9404, tc_HOL_Obool), tc_fun(_u9404, tc_HOL_Obool), tc_fun(_u9404, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9404, tc_HOL_Obool))), _u9406))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9407, tc_HOL_Obool)), _u9408), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9407, tc_HOL_Obool), _u9409)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9407, tc_HOL_Obool), tc_fun(_u9407, tc_HOL_Obool)), _u9409), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9407, tc_HOL_Obool)), _u9408))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9410, tc_HOL_Obool), tc_fun(_u9411, tc_HOL_Obool)), _u9412), hAPP(hAPP(c_COMBC(tc_fun(_u9410, tc_HOL_Obool), tc_fun(_u9410, tc_fun(_u9411, tc_HOL_Obool)), tc_fun(_u9411, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9410, tc_fun(_u9411, tc_HOL_Obool))), _u9413)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9410, tc_fun(_u9411, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9410, tc_HOL_Obool), _u9412)), _u9413)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9414, tc_fun(_u9415, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9414, tc_HOL_Obool), _u9416)), _u9417) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9414, tc_HOL_Obool), tc_fun(_u9415, tc_HOL_Obool)), _u9416), hAPP(hAPP(c_COMBC(tc_fun(_u9414, tc_HOL_Obool), tc_fun(_u9414, tc_fun(_u9415, tc_HOL_Obool)), tc_fun(_u9415, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9414, tc_fun(_u9415, tc_HOL_Obool))), _u9417))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), c_Complete__Lattice_OSup__class_OSup(_u9420, _u9421)), _u9422)) | ~hBOOL(hAPP(hAPP(c_member(_u9420), _u9418), _u9421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), _u9418), _u9422)) )).
% 12.17/12.40 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), c_Complete__Lattice_OSup__class_OSup(_u9420, _u9421)), _u9422)) | hBOOL(hAPP(hAPP(c_member(_u9420), skolem229(_u9422, _u9421, _u9420)), _u9421)) )).
% 12.17/12.40 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), c_Complete__Lattice_OSup__class_OSup(_u9420, _u9421)), _u9422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), skolem229(_u9422, _u9421, _u9420)), _u9422)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9425) | ~class_Orderings_Olinorder(_u9425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), c_Complete__Lattice_OSup__class_OSup(_u9425, _u9427))) | hBOOL(hAPP(hAPP(c_member(_u9425), skolem230(_u9427, _u9426, _u9425)), _u9427)) )).
% 12.17/12.40 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9425) | ~class_Orderings_Olinorder(_u9425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), c_Complete__Lattice_OSup__class_OSup(_u9425, _u9427))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), skolem230(_u9427, _u9426, _u9425))) )).
% 12.17/12.40 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9425) | ~class_Orderings_Olinorder(_u9425) | ~hBOOL(hAPP(hAPP(c_member(_u9425), _u9424), _u9427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), _u9424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), c_Complete__Lattice_OSup__class_OSup(_u9425, _u9427))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u9428, _u9429, _u9430), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9429, tc_HOL_Obool), _u9431)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9429, tc_HOL_Obool), tc_fun(_u9428, tc_HOL_Obool)), _u9431), c_Set_Ovimage(_u9428, _u9429, _u9430))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9432), c_Groups_Ozero__class_Ozero(_u9432)), hAPP(c_Groups_Oabs__class_Oabs(_u9432), _u9433))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9434), hAPP(c_Groups_Oabs__class_Oabs(_u9434), _u9435)), c_Groups_Ozero__class_Ozero(_u9434))) | ( _u9435 = c_Groups_Ozero__class_Ozero(_u9434)) )).
% 12.17/12.40 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9434) | ( _u9435 != c_Groups_Ozero__class_Ozero(_u9434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9434), hAPP(c_Groups_Oabs__class_Oabs(_u9434), _u9435)), c_Groups_Ozero__class_Ozero(_u9434))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9436), c_Groups_Ozero__class_Ozero(_u9436)), _u9437)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9436), _u9437) = _u9437) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9438), c_Groups_Ozero__class_Ozero(_u9438)), _u9439)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9438), _u9439) = _u9439) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9440), c_Groups_Ozero__class_Ozero(_u9440)), hAPP(c_Groups_Oabs__class_Oabs(_u9440), _u9441))) | ( _u9441 != c_Groups_Ozero__class_Ozero(_u9440)) )).
% 12.17/12.40 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9440) | ( _u9441 = c_Groups_Ozero__class_Ozero(_u9440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9440), c_Groups_Ozero__class_Ozero(_u9440)), hAPP(c_Groups_Oabs__class_Oabs(_u9440), _u9441))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9442), hAPP(c_Groups_Oabs__class_Oabs(_u9442), _u9443)), c_Groups_Ozero__class_Ozero(_u9442))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9444), hAPP(c_Groups_Oabs__class_Oabs(_u9444), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9444), _u9445), _u9446))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9444), hAPP(c_Groups_Oabs__class_Oabs(_u9444), _u9445)), hAPP(c_Groups_Oabs__class_Oabs(_u9444), _u9446)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u9447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9447), hAPP(c_Groups_Oabs__class_Oabs(_u9447), _u9448)), _u9449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9447), hAPP(c_Groups_Oabs__class_Oabs(_u9447), _u9450)), _u9451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9447), hAPP(c_Groups_Oabs__class_Oabs(_u9447), _u9448)), hAPP(c_Groups_Oabs__class_Oabs(_u9447), _u9450))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9447), _u9449), _u9451))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9452) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9452), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9452), hAPP(c_Groups_Oabs__class_Oabs(_u9452), _u9453)), hAPP(c_Groups_Oabs__class_Oabs(_u9452), _u9454))), hAPP(c_Groups_Oabs__class_Oabs(_u9452), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9452), _u9454), _u9453)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9455) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9455), hAPP(c_Groups_Oabs__class_Oabs(_u9455), _u9456)), hAPP(c_Groups_Oabs__class_Oabs(_u9455), _u9457))), hAPP(c_Groups_Oabs__class_Oabs(_u9455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9455), _u9456), _u9457)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9458) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9458), hAPP(c_Groups_Oabs__class_Oabs(_u9458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9458), hAPP(c_Groups_Oabs__class_Oabs(_u9458), _u9459)), hAPP(c_Groups_Oabs__class_Oabs(_u9458), _u9460)))), hAPP(c_Groups_Oabs__class_Oabs(_u9458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9458), _u9459), _u9460)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9461), hAPP(c_Groups_Oabs__class_Oabs(_u9461), _u9462)), _u9463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9461), hAPP(c_Groups_Ouminus__class_Ouminus(_u9461), _u9462)), _u9463)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9464) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9464), _u9465), _u9466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9464), hAPP(c_Groups_Ouminus__class_Ouminus(_u9464), _u9465)), _u9466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9464), hAPP(c_Groups_Oabs__class_Oabs(_u9464), _u9465)), _u9466)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Oabs__class_Oabs(_u9467), _u9468)), _u9469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), _u9468), _u9469)) )).
% 12.17/12.40 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Oabs__class_Oabs(_u9467), _u9468)), _u9469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Ouminus__class_Ouminus(_u9467), _u9468)), _u9469)) )).
% 12.17/12.40 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), _u9468), _u9469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Ouminus__class_Ouminus(_u9467), _u9468)), _u9469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Oabs__class_Oabs(_u9467), _u9468)), _u9469)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9470) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9470), hAPP(c_Groups_Ouminus__class_Ouminus(_u9470), _u9471)), hAPP(c_Groups_Oabs__class_Oabs(_u9470), _u9471))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Oabs__class_Oabs(_u9472), _u9473)), _u9474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), _u9473), _u9474)) )).
% 12.17/12.40 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Oabs__class_Oabs(_u9472), _u9473)), _u9474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Ouminus__class_Ouminus(_u9472), _u9473)), _u9474)) )).
% 12.17/12.40 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u9472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), _u9473), _u9474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Ouminus__class_Ouminus(_u9472), _u9473)), _u9474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Oabs__class_Oabs(_u9472), _u9473)), _u9474)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u9475) | ( _u9476 = c_Groups_Ozero__class_Ozero(_u9475)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9475), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9475), _u9477), _u9476)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9475), hAPP(c_Groups_Oabs__class_Oabs(_u9475), _u9477)), hAPP(c_Groups_Oabs__class_Oabs(_u9475), _u9476))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u9478) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9478), hAPP(hAPP(c_Power_Opower__class_Opower(_u9478), hAPP(c_Groups_Ouminus__class_Ouminus(_u9478), _u9479)), _u9480)) = hAPP(c_Groups_Oabs__class_Oabs(_u9478), hAPP(hAPP(c_Power_Opower__class_Opower(_u9478), _u9479), _u9480))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9481), _u9482)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9481) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9488, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9488, tc_HOL_Obool), _u9490)), _u9492) != c_Orderings_Obot__class_Obot(tc_fun(_u9488, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9488, tc_HOL_Obool)), _u9483), _u9490)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9488, tc_HOL_Obool)), _u9483), _u9492) = c_Orderings_Obot__class_Obot(tc_fun(_u9488, tc_HOL_Obool))) )).
% 12.17/12.40 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9489, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9489, tc_HOL_Obool), _u9491)), _u9493) = c_Orderings_Obot__class_Obot(tc_fun(_u9489, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9489, tc_HOL_Obool)), skolem231(_u9493, _u9491, _u9489)), _u9491)) )).
% 12.17/12.40 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9489, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9489, tc_HOL_Obool), _u9491)), _u9493) = c_Orderings_Obot__class_Obot(tc_fun(_u9489, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9489, tc_HOL_Obool)), skolem231(_u9493, _u9491, _u9489)), _u9493) != c_Orderings_Obot__class_Obot(tc_fun(_u9489, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9494, tc_HOL_Obool)), _u9495), _u9496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9494, tc_HOL_Obool)), _u9495), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9494, tc_HOL_Obool), _u9496))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u9497) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9497), c_Groups_Osgn__class_Osgn(_u9497, _u9498)), hAPP(c_Groups_Oabs__class_Oabs(_u9497), _u9498)) = _u9498) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u9499) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9499), _u9500) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9499), _u9500), c_Groups_Osgn__class_Osgn(_u9499, _u9500))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9501, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9501, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9501, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u9502, tc_HOL_Obool), tc_HOL_Obool)), _u9503), _u9504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9502, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9502, tc_HOL_Obool), _u9503)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9502, tc_HOL_Obool), _u9504))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9505, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9505, tc_HOL_Obool)), _u9506), _u9507)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9505, tc_HOL_Obool)), _u9506), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9505, tc_HOL_Obool), _u9507))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9508), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9508, tc_HOL_Obool), _u9509))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9508, tc_HOL_Obool)), _u9509)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u9510, tc_HOL_Obool), tc_HOL_Obool)), _u9511), hAPP(c_Set_OPow(_u9510), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9510, tc_HOL_Obool), _u9511)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9512, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u9512, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u9512, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9513, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u9513, tc_HOL_Obool), tc_HOL_Obool)), _u9514), _u9515)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9513, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9513, tc_HOL_Obool), _u9514)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9513, tc_HOL_Obool), _u9515))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u9516) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9517)), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), c_Groups_Ozero__class_Ozero(_u9516)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), c_Groups_Ozero__class_Ozero(_u9516)), _u9518)) )).
% 12.17/12.40 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u9516) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9517)), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), c_Groups_Ozero__class_Ozero(_u9516)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), _u9518), c_Groups_Ozero__class_Ozero(_u9516))) )).
% 12.17/12.40 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u9516) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9517)), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), _u9517), c_Groups_Ozero__class_Ozero(_u9516))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), c_Groups_Ozero__class_Ozero(_u9516)), _u9518)) )).
% 12.17/12.40 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u9516) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9517)), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), _u9517), c_Groups_Ozero__class_Ozero(_u9516))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), _u9518), c_Groups_Ozero__class_Ozero(_u9516))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u9519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9519), c_Groups_Ozero__class_Ozero(_u9519)), _u9520)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9519), hAPP(c_Groups_Oabs__class_Oabs(_u9519), _u9521)), _u9520) = hAPP(c_Groups_Oabs__class_Oabs(_u9519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9519), _u9521), _u9520))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9522, tc_fun(_u9523, tc_HOL_Obool)), _u9524), _u9525) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9523, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9522, tc_fun(_u9523, tc_HOL_Obool), _u9525), _u9524))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9526, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9527, tc_fun(_u9526, tc_HOL_Obool), _u9528), _u9529)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9527, tc_fun(_u9526, tc_HOL_Obool)), _u9529), _u9528)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9530) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9530), hAPP(c_Groups_Oabs__class_Oabs(_u9530), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9530), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9530), _u9531), _u9532)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9530), _u9533), _u9534)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9530), hAPP(c_Groups_Oabs__class_Oabs(_u9530), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9530), _u9531), _u9533))), hAPP(c_Groups_Oabs__class_Oabs(_u9530), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9530), _u9532), _u9534))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9535) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9535), hAPP(c_Groups_Oabs__class_Oabs(_u9535), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9535), _u9536), _u9537))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9535), hAPP(c_Groups_Oabs__class_Oabs(_u9535), _u9536)), hAPP(c_Groups_Oabs__class_Oabs(_u9535), _u9537)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9538), _u9539), c_Groups_Ozero__class_Ozero(_u9538))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9538), _u9539) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9538), _u9539)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9540) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), hAPP(c_Groups_Ouminus__class_Ouminus(_u9540), hAPP(c_Groups_Oabs__class_Oabs(_u9540), _u9541))), c_Groups_Ozero__class_Ozero(_u9540))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u9542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9542), _u9543), c_Groups_Ozero__class_Ozero(_u9542))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9542), _u9543) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9542), _u9543)) )).
% 12.17/12.40 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u9542) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9542), _u9543), c_Groups_Ozero__class_Ozero(_u9542))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9542), _u9543) = _u9543) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9544), _u9545), c_Groups_Ozero__class_Ozero(_u9544))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9544), _u9545) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9544), _u9545)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u9546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9546), c_Groups_Ozero__class_Ozero(_u9546)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9546), hAPP(c_Groups_Oabs__class_Oabs(_u9546), _u9547)), _u9548))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9549), c_Groups_Ozero__class_Ozero(_u9549)), _u9550)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9549), hAPP(c_Groups_Oabs__class_Oabs(_u9549), _u9551)), _u9550) = hAPP(c_Groups_Oabs__class_Oabs(_u9549), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9549), _u9551), _u9550))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9552) | ~hBOOL(hAPP(hAPP(c_member(_u9552), _u9553), _u9554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9552), _u9553), c_Complete__Lattice_OSup__class_OSup(_u9552, _u9554))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9555) | ( c_Complete__Lattice_OSup__class_OSup(_u9555, c_Orderings_Obot__class_Obot(tc_fun(_u9555, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u9555)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9556) | ( c_Complete__Lattice_OSup__class_OSup(_u9556, hAPP(hAPP(c_Set_Oinsert(_u9556), _u9557), c_Orderings_Obot__class_Obot(tc_fun(_u9556, tc_HOL_Obool)))) = _u9557) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9559)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u9559 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u9560 != 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), _u9560)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9561) | ( c_Complete__Lattice_OSup__class_OSup(_u9561, hAPP(hAPP(c_Set_Oinsert(_u9561), _u9562), _u9563)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9561), _u9562), c_Complete__Lattice_OSup__class_OSup(_u9561, _u9563))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9565) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9565)) )).
% 12.17/12.40 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9566), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9566) = _u9566) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9567) | ( c_Complete__Lattice_OSup__class_OSup(_u9567, c_Orderings_Otop__class_Otop(tc_fun(_u9567, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u9567)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9568), _u9569))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9568))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9569)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9570)), _u9571))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9572, tc_fun(_u9573, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9572, tc_HOL_Obool), _u9574)), _u9575) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9572, tc_HOL_Obool), tc_fun(_u9573, tc_HOL_Obool)), _u9574), hAPP(hAPP(c_COMBC(tc_fun(_u9572, tc_HOL_Obool), tc_fun(_u9572, tc_fun(_u9573, tc_HOL_Obool)), tc_fun(_u9573, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9572, tc_fun(_u9573, tc_HOL_Obool))), _u9575))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9576, tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), _u9578), hAPP(hAPP(c_COMBC(tc_fun(_u9576, tc_HOL_Obool), tc_fun(_u9576, tc_fun(_u9577, tc_HOL_Obool)), tc_fun(_u9577, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9576, tc_fun(_u9577, tc_HOL_Obool))), _u9579)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9576, tc_fun(_u9577, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9576, tc_HOL_Obool), _u9578)), _u9579)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9580, tc_HOL_Obool)), _u9581), _u9582) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9580, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9580, tc_HOL_Obool)), _u9581), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9580, tc_HOL_Obool)), _u9582), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9580, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9583, tc_fun(_u9584, tc_HOL_Obool)), _u9585), hAPP(hAPP(c_COMBS(_u9583, tc_fun(_u9584, tc_HOL_Obool), tc_fun(_u9584, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9584, tc_HOL_Obool), tc_fun(tc_fun(_u9584, tc_HOL_Obool), tc_fun(_u9584, tc_HOL_Obool)), _u9583), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9584, tc_HOL_Obool))), _u9586)), _u9587)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9584, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9584, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9583, tc_fun(_u9584, tc_HOL_Obool), _u9586), _u9585))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9584, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9583, tc_fun(_u9584, tc_HOL_Obool), _u9587), _u9585)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9588, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9588, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u9588, tc_HOL_Obool), tc_HOL_Obool)), _u9589), _u9590))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9588, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9588, tc_HOL_Obool), _u9589)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9588, tc_HOL_Obool), _u9590)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9593)), _u9595))) | ( _u9593 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9595 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 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), _u9594)), _u9596))) | ( _u9594 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40 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), _u9594)), _u9596))) | ( _u9596 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9597) | ( c_Complete__Lattice_OSup__class_OSup(_u9597, hAPP(hAPP(c_Set_Oinsert(_u9597), _u9598), hAPP(hAPP(c_Set_Oinsert(_u9597), _u9599), c_Orderings_Obot__class_Obot(tc_fun(_u9597, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9597), _u9598), _u9599)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9600) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9600), _u9601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9600), _u9602), c_Complete__Lattice_OSup__class_OSup(_u9600, _u9601)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9600, _u9600, c_Lattices_Osemilattice__sup__class_Osup(_u9600)), _u9602), _u9601)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9603), _u9604)) | ( _u9604 = c_Orderings_Obot__class_Obot(tc_fun(_u9603, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9603, _u9604) = c_Complete__Lattice_OSup__class_OSup(_u9603, _u9604)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u9605, _u9606) = 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), _u9605)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9606))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_inj__on__Inter-1, axiom, ( ( _u9608 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9609, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u9609, _u9610, _u9611, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9609, tc_HOL_Obool), _u9608)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9609, tc_HOL_Obool)), skolem232(_u9611, _u9610, _u9609, _u9608)), _u9608)) )).
% 12.17/12.40 cnf(fact_inj__on__Inter-2, axiom, ( ( _u9608 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9609, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u9609, _u9610, _u9611, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9609, tc_HOL_Obool), _u9608)) | ~c_Fun_Oinj__on(_u9609, _u9610, _u9611, skolem232(_u9611, _u9610, _u9609, _u9608)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Inter__subset-1, axiom, ( ( _u9614 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9613, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9613, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9613, tc_HOL_Obool), _u9614)), _u9615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9613, tc_HOL_Obool)), skolem233(_u9615, _u9614, _u9613)), _u9614)) )).
% 12.17/12.40 cnf(fact_Inter__subset-2, axiom, ( ( _u9614 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9613, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9613, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9613, tc_HOL_Obool), _u9614)), _u9615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9613, tc_HOL_Obool)), skolem233(_u9615, _u9614, _u9613)), _u9615)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem234(_u9620, _u9619, _u9618)), _u9618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9619, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9620), hAPP(_u9619, _u9618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem235(_u9620, _u9619, _u9618)), _u9618)) )).
% 12.17/12.40 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem234(_u9620, _u9619, _u9618)), _u9618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9619, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9620), hAPP(_u9619, _u9618))) | ( hAPP(_u9619, skolem235(_u9620, _u9619, _u9618)) = _u9620) )).
% 12.17/12.40 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(_u9619, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem234(_u9620, _u9619, _u9618)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u9619, skolem234(_u9620, _u9619, _u9618))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9619, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9620), hAPP(_u9619, _u9618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem235(_u9620, _u9619, _u9618)), _u9618)) )).
% 12.17/12.40 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(_u9619, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem234(_u9620, _u9619, _u9618)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u9619, skolem234(_u9620, _u9619, _u9618))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9619, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9620), hAPP(_u9619, _u9618))) | ( hAPP(_u9619, skolem235(_u9620, _u9619, _u9618)) = _u9620) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9621, tc_HOL_Obool), _u9622) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9621, tc_HOL_Obool), tc_fun(_u9621, tc_HOL_Obool)), _u9622), c_COMBI(tc_fun(_u9621, tc_HOL_Obool)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u9623, _u9624) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9623), _u9624)), c_Nitpick_Onat__gcd(_u9623, _u9624))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9626, tc_HOL_Obool)), _u9627)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9626), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9626, tc_HOL_Obool), _u9627))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9626, tc_HOL_Obool)), skolem236(_u9627, _u9626)), _u9627)) )).
% 12.17/12.40 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9626, tc_HOL_Obool)), _u9627)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9626), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9626, tc_HOL_Obool), _u9627))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9626), skolem236(_u9627, _u9626))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), _u9631), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9630, tc_HOL_Obool), _u9632)) = c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), skolem237(_u9632, _u9631, _u9630)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632))) )).
% 12.17/12.40 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), _u9631), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9630, tc_HOL_Obool), _u9632)) = c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), skolem238(_u9632, _u9631, _u9630)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632))) )).
% 12.17/12.40 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), _u9631), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9630, tc_HOL_Obool), _u9632)) = c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) | ( skolem237(_u9632, _u9631, _u9630) != skolem238(_u9632, _u9631, _u9630)) )).
% 12.17/12.40 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), _u9631), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9630, tc_HOL_Obool), _u9632)) = c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), skolem237(_u9632, _u9631, _u9630)), skolem238(_u9632, _u9631, _u9630)) != c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem239(_u9638, _u9637, _u9636)), _u9637)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem240(_u9638, _u9637, _u9636)), _u9637)) )).
% 12.17/12.40 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem239(_u9638, _u9637, _u9636)), _u9637)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem241(_u9638, _u9637, _u9636)), _u9637)) )).
% 12.17/12.40 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem239(_u9638, _u9637, _u9636)), _u9637)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( skolem240(_u9638, _u9637, _u9636) != skolem241(_u9638, _u9637, _u9636)) )).
% 12.17/12.40 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem239(_u9638, _u9637, _u9636)), _u9637)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9636, tc_HOL_Obool)), skolem240(_u9638, _u9637, _u9636)), skolem241(_u9638, _u9637, _u9636)) != c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool))) )).
% 12.17/12.40 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(c_Finite__Set_Ocard(_u9636), skolem239(_u9638, _u9637, _u9636)) != _u9638) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem240(_u9638, _u9637, _u9636)), _u9637)) )).
% 12.17/12.40 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(c_Finite__Set_Ocard(_u9636), skolem239(_u9638, _u9637, _u9636)) != _u9638) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem241(_u9638, _u9637, _u9636)), _u9637)) )).
% 12.17/12.40 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(c_Finite__Set_Ocard(_u9636), skolem239(_u9638, _u9637, _u9636)) != _u9638) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( skolem240(_u9638, _u9637, _u9636) != skolem241(_u9638, _u9637, _u9636)) )).
% 12.17/12.40 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(c_Finite__Set_Ocard(_u9636), skolem239(_u9638, _u9637, _u9636)) != _u9638) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9636, tc_HOL_Obool)), skolem240(_u9638, _u9637, _u9636)), skolem241(_u9638, _u9637, _u9636)) != c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u9641 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u9643, _u9641) = _u9643) )).
% 12.17/12.40 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u9642 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u9644, _u9642) = c_Nitpick_Onat__gcd(_u9642, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9644, _u9642))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u9645), _u9646) = 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), _u9645)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9646))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem242(_u9651, _u9650, _u9649)), _u9649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9651), hAPP(_u9650, _u9649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem243(_u9651, _u9650, _u9649)), _u9649)) )).
% 12.17/12.40 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem242(_u9651, _u9650, _u9649)), _u9649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9651), hAPP(_u9650, _u9649))) | ( hAPP(_u9650, skolem243(_u9651, _u9650, _u9649)) = _u9651) )).
% 12.17/12.40 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(_u9650, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem242(_u9651, _u9650, _u9649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u9650, skolem242(_u9651, _u9650, _u9649))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9651), hAPP(_u9650, _u9649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem243(_u9651, _u9650, _u9649)), _u9649)) )).
% 12.17/12.40 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(_u9650, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem242(_u9651, _u9650, _u9649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u9650, skolem242(_u9651, _u9650, _u9649))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9651), hAPP(_u9650, _u9649))) | ( hAPP(_u9650, skolem243(_u9651, _u9650, _u9649)) = _u9651) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9653), _u9654)) | 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(_u9653, tc_Nat_Onat), _u9655), _u9654))) | hBOOL(hAPP(hAPP(c_member(_u9653), skolem244(_u9655, _u9654, _u9653)), _u9654)) )).
% 12.17/12.40 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9653), _u9654)) | 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(_u9653, tc_Nat_Onat), _u9655), _u9654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u9655, skolem244(_u9655, _u9654, _u9653)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_inj__on__INTER-1, axiom, ( ( _u9657 = c_Orderings_Obot__class_Obot(tc_fun(_u9658, tc_HOL_Obool))) | c_Fun_Oinj__on(_u9659, _u9660, _u9661, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9658, tc_fun(_u9659, tc_HOL_Obool)), _u9657), _u9662)) | hBOOL(hAPP(hAPP(c_member(_u9658), skolem245(_u9662, _u9661, _u9660, _u9659, _u9658, _u9657)), _u9657)) )).
% 12.17/12.40 cnf(fact_inj__on__INTER-2, axiom, ( ( _u9657 = c_Orderings_Obot__class_Obot(tc_fun(_u9658, tc_HOL_Obool))) | c_Fun_Oinj__on(_u9659, _u9660, _u9661, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9658, tc_fun(_u9659, tc_HOL_Obool)), _u9657), _u9662)) | ~c_Fun_Oinj__on(_u9659, _u9660, _u9661, hAPP(_u9662, skolem245(_u9662, _u9661, _u9660, _u9659, _u9658, _u9657))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u9664, _u9665, _u9666, _u9667, _u9668, _u9669) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9665), _u9670)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9665), _u9671)) | ( hAPP(_u9669, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9665, tc_HOL_Obool)), _u9670), _u9671)) = hAPP(hAPP(_u9666, hAPP(_u9669, _u9670)), hAPP(_u9669, _u9671))) | hBOOL(hAPP(hAPP(c_member(_u9665), skolem246(_u9671, _u9670, _u9669, _u9668, _u9667, _u9666, _u9665)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9665, tc_HOL_Obool)), _u9670), _u9671))) )).
% 12.17/12.40 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u9664, _u9665, _u9666, _u9667, _u9668, _u9669) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9665), _u9670)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9665), _u9671)) | ( hAPP(_u9669, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9665, tc_HOL_Obool)), _u9670), _u9671)) = hAPP(hAPP(_u9666, hAPP(_u9669, _u9670)), hAPP(_u9669, _u9671))) | ( hAPP(_u9668, skolem246(_u9671, _u9670, _u9669, _u9668, _u9667, _u9666, _u9665)) != _u9667) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9672)) | ( 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)), _u9672))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u9673)))) = 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)), _u9672))), 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, _u9673)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_card__less ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9674)) | ( 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)), _u9674))), 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, _u9675))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9676)) | ( 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)), _u9676))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u9677))))) = 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)), _u9676))), 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, _u9677)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u9678, _u9679)) | hBOOL(hAPP(hAPP(c_member(_u9680), _u9679), hAPP(c_Set_OCollect(_u9680), _u9678))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), hAPP(c_Set_OCollect(_u9681), hAPP(hAPP(c_COMBS(_u9681, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9681), c_fconj), _u9682)), _u9683)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), hAPP(c_Set_OCollect(_u9681), _u9682))) )).
% 12.17/12.40 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), hAPP(c_Set_OCollect(_u9681), hAPP(hAPP(c_COMBS(_u9681, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9681), c_fconj), _u9682)), _u9683)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), hAPP(c_Set_OCollect(_u9681), _u9683))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9684)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9685)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u9686), hAPP(hAPP(c_COMBS(_u9686, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9686), c_fdisj), _u9687)), _u9688)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9686, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9686), _u9687)), hAPP(c_Set_OCollect(_u9686), _u9688))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u9689), hAPP(hAPP(c_COMBS(_u9689, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9689), c_fconj), _u9690)), _u9691)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9689, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9689), _u9690)), hAPP(c_Set_OCollect(_u9689), _u9691))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u9694, _u9693)) | ~hBOOL(hAPP(hAPP(c_member(_u9692), _u9693), hAPP(c_Set_OCollect(_u9692), _u9694))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u9697, _u9696)) | ~hBOOL(hAPP(hAPP(c_member(_u9695), _u9696), hAPP(c_Set_OCollect(_u9695), _u9697))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u9705, _u9703)) | ~hBOOL(hAPP(hAPP(c_member(_u9701), _u9703), hAPP(c_Set_OCollect(_u9701), _u9705))) )).
% 12.17/12.40 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u9706, _u9704)) | hBOOL(hAPP(hAPP(c_member(_u9702), _u9704), hAPP(c_Set_OCollect(_u9702), _u9706))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u9707), hAPP(hAPP(c_COMBC(_u9707, tc_fun(_u9707, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9707)), _u9708)) = _u9708) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9709, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9709), hAPP(c_COMBK(tc_HOL_Obool, _u9709), c_fFalse))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u9716, _u9710)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9714, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u9714), _u9716)) )).
% 12.17/12.40 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u9717, skolem247(_u9717))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9715, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9715), _u9717)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u9724, _u9718)) | ( hAPP(c_Set_OCollect(_u9722), _u9724) != c_Orderings_Obot__class_Obot(tc_fun(_u9722, tc_HOL_Obool))) )).
% 12.17/12.40 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u9725, skolem248(_u9725))) | ( hAPP(c_Set_OCollect(_u9723), _u9725) = c_Orderings_Obot__class_Obot(tc_fun(_u9723, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u9726), _u9727) = _u9727) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9728, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9728), hAPP(c_COMBK(tc_HOL_Obool, _u9728), c_fTrue))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9729), _u9730), hAPP(c_Set_OCollect(_u9729), _u9731)) = hAPP(c_Set_OCollect(_u9729), hAPP(hAPP(c_COMBS(_u9729, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9729), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9729), c_fNot), hAPP(hAPP(c_COMBC(_u9729, _u9729, tc_HOL_Obool), c_fequal), _u9730)))), _u9731))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), hAPP(c_Set_OCollect(_u9735), hAPP(hAPP(c_COMBS(_u9735, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9735), c_fdisj), _u9737)), _u9739)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), hAPP(c_Set_OCollect(_u9735), _u9737))) )).
% 12.17/12.40 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), hAPP(c_Set_OCollect(_u9735), hAPP(hAPP(c_COMBS(_u9735, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9735), c_fdisj), _u9737)), _u9739)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), hAPP(c_Set_OCollect(_u9735), _u9739))) )).
% 12.17/12.40 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9736), hAPP(c_Set_OCollect(_u9736), _u9738))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9736), hAPP(c_Set_OCollect(_u9736), _u9740))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9736), hAPP(c_Set_OCollect(_u9736), hAPP(hAPP(c_COMBS(_u9736, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9736), c_fdisj), _u9738)), _u9740)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u9741), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9741), c_fNot), _u9742)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9741, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9741), _u9742))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u9743, _u9744, _u9745), hAPP(c_Set_OCollect(_u9744), _u9746)) = hAPP(c_Set_OCollect(_u9743), hAPP(hAPP(c_COMBB(_u9744, tc_HOL_Obool, _u9743), _u9746), _u9745))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9747), _u9748), _u9749) = hAPP(c_Set_OCollect(_u9747), hAPP(hAPP(c_COMBS(_u9747, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9747), c_fdisj), hAPP(hAPP(c_COMBC(_u9747, _u9747, tc_HOL_Obool), c_fequal), _u9748))), hAPP(hAPP(c_COMBC(_u9747, tc_fun(_u9747, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9747)), _u9749)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9750), _u9751), _u9752) = hAPP(c_Set_OCollect(_u9750), hAPP(hAPP(c_COMBS(_u9750, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9750), c_fdisj), hAPP(hAPP(c_COMBC(_u9750, _u9750, tc_HOL_Obool), c_fequal), _u9751))), hAPP(hAPP(c_COMBC(_u9750, tc_fun(_u9750, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9750)), _u9752)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9753, tc_HOL_Obool)), _u9754), _u9755) = hAPP(c_Set_OCollect(_u9753), hAPP(hAPP(c_COMBS(_u9753, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9753), c_fdisj), hAPP(hAPP(c_COMBC(_u9753, tc_fun(_u9753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9753)), _u9754))), hAPP(hAPP(c_COMBC(_u9753, tc_fun(_u9753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9753)), _u9755)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9756, tc_HOL_Obool)), _u9757), _u9758) = hAPP(c_Set_OCollect(_u9756), hAPP(hAPP(c_COMBS(_u9756, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9756), c_fconj), hAPP(hAPP(c_COMBC(_u9756, tc_fun(_u9756, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9756)), _u9757))), hAPP(hAPP(c_COMBC(_u9756, tc_fun(_u9756, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9756)), _u9758)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9763), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9763, tc_HOL_Obool)), _u9767), hAPP(c_Set_OCollect(_u9763), _u9769)))) | hBOOL(hAPP(hAPP(c_member(_u9763), _u9765), _u9767)) )).
% 12.17/12.40 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9763), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9763, tc_HOL_Obool)), _u9767), hAPP(c_Set_OCollect(_u9763), _u9769)))) | hBOOL(hAPP(_u9769, _u9765)) )).
% 12.17/12.40 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9764), _u9766), _u9768)) | ~hBOOL(hAPP(_u9770, _u9766)) | hBOOL(hAPP(hAPP(c_member(_u9764), _u9766), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9764, tc_HOL_Obool)), _u9768), hAPP(c_Set_OCollect(_u9764), _u9770)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u9771), hAPP(c_fequal, _u9772)) = hAPP(hAPP(c_Set_Oinsert(_u9771), _u9772), c_Orderings_Obot__class_Obot(tc_fun(_u9771, tc_HOL_Obool)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u9773), hAPP(hAPP(c_COMBC(_u9773, _u9773, tc_HOL_Obool), c_fequal), _u9774)) = hAPP(hAPP(c_Set_Oinsert(_u9773), _u9774), c_Orderings_Obot__class_Obot(tc_fun(_u9773, tc_HOL_Obool)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u9778, _u9780)) | ( hAPP(c_Set_OCollect(_u9782), hAPP(hAPP(c_COMBS(_u9782, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9782), c_fconj), hAPP(c_fequal, _u9780))), _u9778)) = hAPP(hAPP(c_Set_Oinsert(_u9782), _u9780), c_Orderings_Obot__class_Obot(tc_fun(_u9782, tc_HOL_Obool)))) )).
% 12.17/12.40 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u9779, _u9781)) | ( hAPP(c_Set_OCollect(_u9783), hAPP(hAPP(c_COMBS(_u9783, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9783), c_fconj), hAPP(c_fequal, _u9781))), _u9779)) = c_Orderings_Obot__class_Obot(tc_fun(_u9783, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u9787, _u9789)) | ( hAPP(c_Set_OCollect(_u9791), hAPP(hAPP(c_COMBS(_u9791, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9791), c_fconj), hAPP(hAPP(c_COMBC(_u9791, _u9791, tc_HOL_Obool), c_fequal), _u9789))), _u9787)) = hAPP(hAPP(c_Set_Oinsert(_u9791), _u9789), c_Orderings_Obot__class_Obot(tc_fun(_u9791, tc_HOL_Obool)))) )).
% 12.17/12.40 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u9788, _u9790)) | ( hAPP(c_Set_OCollect(_u9792), hAPP(hAPP(c_COMBS(_u9792, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9792), c_fconj), hAPP(hAPP(c_COMBC(_u9792, _u9792, tc_HOL_Obool), c_fequal), _u9790))), _u9788)) = c_Orderings_Obot__class_Obot(tc_fun(_u9792, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9793, tc_HOL_Obool)), _u9794), _u9795) = hAPP(c_Set_OCollect(_u9793), hAPP(hAPP(c_COMBS(_u9793, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9793), c_fconj), hAPP(hAPP(c_COMBC(_u9793, tc_fun(_u9793, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9793)), _u9794))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9793), c_fNot), hAPP(hAPP(c_COMBC(_u9793, tc_fun(_u9793, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9793)), _u9795))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), hAPP(c_Set_OCollect(_u9796), _u9797))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), hAPP(c_Set_OCollect(_u9796), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9796), c_fNot), _u9797)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), c_Orderings_Otop__class_Otop(tc_fun(_u9796, tc_HOL_Obool)))) )).
% 12.17/12.40 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), hAPP(c_Set_OCollect(_u9796), _u9797))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), c_Orderings_Otop__class_Otop(tc_fun(_u9796, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), hAPP(c_Set_OCollect(_u9796), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9796), c_fNot), _u9797)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9798), _u9799), _u9800) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9798, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9798), hAPP(hAPP(c_COMBC(_u9798, _u9798, tc_HOL_Obool), c_fequal), _u9799))), _u9800)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9801, tc_HOL_Obool)), _u9802) = hAPP(c_Set_OCollect(_u9801), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9801), c_fNot), hAPP(hAPP(c_COMBC(_u9801, tc_fun(_u9801, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9801)), _u9802)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u9803, _u9804, _u9805), _u9806) = hAPP(c_Set_OCollect(_u9803), hAPP(hAPP(c_COMBC(_u9803, tc_fun(_u9804, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u9804, tc_fun(tc_fun(_u9804, tc_HOL_Obool), tc_HOL_Obool), _u9803), c_member(_u9804)), _u9805)), _u9806))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u9807), hAPP(hAPP(c_COMBS(_u9807, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9807), c_fimplies), _u9808)), _u9809)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9807, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9807, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9807), _u9808))), hAPP(c_Set_OCollect(_u9807), _u9809))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 12.17/12.40 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), _u9810)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u9811))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9813), _u9814)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9815), _u9816)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9813, _u9812), hAPP(hAPP(c_COMBS(_u9813, tc_fun(_u9815, tc_HOL_Obool), _u9812), hAPP(hAPP(c_COMBB(tc_fun(_u9815, _u9812), tc_fun(tc_fun(_u9815, tc_HOL_Obool), _u9812), _u9813), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9815, _u9812)), _u9817)), hAPP(hAPP(c_COMBB(tc_fun(_u9815, tc_HOL_Obool), tc_fun(_u9815, tc_HOL_Obool), _u9813), c_Set_OCollect(_u9815)), hAPP(hAPP(c_COMBB(tc_fun(_u9815, tc_HOL_Obool), tc_fun(_u9815, tc_HOL_Obool), _u9813), hAPP(c_COMBS(_u9815, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9815), c_fconj), hAPP(hAPP(c_COMBC(_u9815, tc_fun(_u9815, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9815)), _u9816)))), _u9818)))), _u9814) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9815, _u9812), hAPP(hAPP(c_COMBS(_u9815, tc_fun(_u9813, tc_HOL_Obool), _u9812), hAPP(hAPP(c_COMBB(tc_fun(_u9813, _u9812), tc_fun(tc_fun(_u9813, tc_HOL_Obool), _u9812), _u9815), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9813, _u9812)), hAPP(c_COMBC(_u9813, _u9815, _u9812), _u9817))), hAPP(hAPP(c_COMBB(tc_fun(_u9813, tc_HOL_Obool), tc_fun(_u9813, tc_HOL_Obool), _u9815), c_Set_OCollect(_u9813)), hAPP(hAPP(c_COMBB(tc_fun(_u9813, tc_HOL_Obool), tc_fun(_u9813, tc_HOL_Obool), _u9815), hAPP(c_COMBS(_u9813, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9813), c_fconj), hAPP(hAPP(c_COMBC(_u9813, tc_fun(_u9813, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9813)), _u9814)))), hAPP(c_COMBC(_u9813, _u9815, tc_HOL_Obool), _u9818))))), _u9816)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u9819, _u9820, hAPP(hAPP(c_COMBS(_u9819, _u9820, _u9820), hAPP(hAPP(c_COMBS(_u9819, _u9820, tc_fun(_u9820, _u9820)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9820, tc_fun(_u9820, _u9820)), _u9819), c_If(_u9820)), _u9821)), _u9822)), _u9823)), _u9824) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9820, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9819, _u9820, _u9822), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9819, tc_HOL_Obool)), _u9824), hAPP(c_Set_OCollect(_u9819), _u9821)))), hAPP(c_Set_Oimage(_u9819, _u9820, _u9823), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9819, tc_HOL_Obool)), _u9824), hAPP(c_Set_OCollect(_u9819), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9819), c_fNot), _u9821)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u9825 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u9826, _u9827), 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)), _u9828)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9826), _u9825)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9829) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9830), _u9831)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9830, _u9829), _u9832), hAPP(c_Set_OCollect(_u9830), hAPP(hAPP(c_COMBS(_u9830, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9830), c_fconj), hAPP(hAPP(c_COMBC(_u9830, tc_fun(_u9830, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9830)), _u9831))), hAPP(hAPP(c_COMBC(_u9830, tc_fun(_u9830, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9830)), _u9833)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9830, _u9829), hAPP(hAPP(c_COMBC(_u9830, _u9829, _u9829), hAPP(hAPP(c_COMBS(_u9830, _u9829, tc_fun(_u9829, _u9829)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9829, tc_fun(_u9829, _u9829)), _u9830), c_If(_u9829)), hAPP(hAPP(c_COMBC(_u9830, tc_fun(_u9830, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9830)), _u9833))), _u9832)), c_Groups_Ozero__class_Ozero(_u9829))), _u9831)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9835), _u9836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9835, _u9834), _u9837), _u9836) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9838, _u9834), hAPP(hAPP(c_COMBB(tc_fun(_u9835, tc_HOL_Obool), _u9834, _u9838), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9835, _u9834), _u9837)), hAPP(hAPP(c_COMBB(tc_fun(_u9835, tc_HOL_Obool), tc_fun(_u9835, tc_HOL_Obool), _u9838), c_Set_OCollect(_u9835)), hAPP(hAPP(c_COMBB(tc_fun(_u9835, tc_HOL_Obool), tc_fun(_u9835, tc_HOL_Obool), _u9838), hAPP(c_COMBS(_u9835, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9835), c_fconj), hAPP(hAPP(c_COMBC(_u9835, tc_fun(_u9835, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9835)), _u9836)))), hAPP(c_COMBC(_u9835, _u9838, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u9838, tc_fun(_u9838, tc_HOL_Obool), _u9835), c_fequal), _u9839)))))), hAPP(c_Set_Oimage(_u9835, _u9838, _u9839), _u9836))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9841), _u9842)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9841, _u9840), hAPP(hAPP(c_COMBS(_u9841, _u9840, _u9840), hAPP(hAPP(c_COMBS(_u9841, _u9840, tc_fun(_u9840, _u9840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9840, tc_fun(_u9840, _u9840)), _u9841), c_If(_u9840)), _u9843)), _u9844)), _u9845)), _u9842) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9840), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9841, _u9840), _u9844), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9841, tc_HOL_Obool)), _u9842), hAPP(c_Set_OCollect(_u9841), _u9843)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9841, _u9840), _u9845), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9841, tc_HOL_Obool)), _u9842), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9841, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9841), _u9843)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9847), _u9848)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9849), _u9850)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9847, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_Nat_Onat, _u9847), c_Finite__Set_Ocard(_u9849)), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_fun(_u9849, tc_HOL_Obool), _u9847), c_Set_OCollect(_u9849)), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_fun(_u9849, tc_HOL_Obool), _u9847), hAPP(c_COMBS(_u9849, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9849), c_fconj), hAPP(hAPP(c_COMBC(_u9849, tc_fun(_u9849, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9849)), _u9850)))), _u9851)))), _u9848) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9852), hAPP(c_Finite__Set_Ocard(_u9849), _u9850))) | hBOOL(hAPP(hAPP(c_member(_u9849), skolem249(_u9852, _u9851, _u9850, _u9849, _u9848, _u9847)), _u9850)) )).
% 12.17/12.40 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9847), _u9848)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9849), _u9850)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9847, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_Nat_Onat, _u9847), c_Finite__Set_Ocard(_u9849)), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_fun(_u9849, tc_HOL_Obool), _u9847), c_Set_OCollect(_u9849)), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_fun(_u9849, tc_HOL_Obool), _u9847), hAPP(c_COMBS(_u9849, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9849), c_fconj), hAPP(hAPP(c_COMBC(_u9849, tc_fun(_u9849, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9849)), _u9850)))), _u9851)))), _u9848) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9852), hAPP(c_Finite__Set_Ocard(_u9849), _u9850))) | ( hAPP(c_Finite__Set_Ocard(_u9847), hAPP(c_Set_OCollect(_u9847), hAPP(hAPP(c_COMBS(_u9847, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9847), c_fconj), hAPP(hAPP(c_COMBC(_u9847, tc_fun(_u9847, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9847)), _u9848))), hAPP(hAPP(c_COMBC(_u9847, _u9849, tc_HOL_Obool), _u9851), skolem249(_u9852, _u9851, _u9850, _u9849, _u9848, _u9847))))) != _u9852) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9853), _u9854)) | ( _u9854 = c_Orderings_Obot__class_Obot(tc_fun(_u9853, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9853), _u9855), c_Big__Operators_Olattice_OInf__fin(_u9853, c_Orderings_Oord__class_Omin(_u9853), _u9854)) = c_Big__Operators_Olattice_OInf__fin(_u9853, c_Orderings_Oord__class_Omin(_u9853), hAPP(c_Set_OCollect(_u9853), hAPP(hAPP(c_COMBB(tc_fun(_u9853, tc_HOL_Obool), tc_HOL_Obool, _u9853), c_HOL_OEx(_u9853)), hAPP(hAPP(c_COMBC(_u9853, tc_fun(_u9853, tc_HOL_Obool), tc_fun(_u9853, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9853, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9853, tc_HOL_Obool), tc_fun(_u9853, tc_HOL_Obool)), _u9853), c_COMBS(_u9853, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9853, tc_HOL_Obool), tc_fun(_u9853, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9853), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9853), c_fconj)), hAPP(hAPP(c_COMBC(_u9853, tc_fun(_u9853, _u9853), tc_fun(_u9853, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9853, tc_HOL_Obool), tc_fun(tc_fun(_u9853, _u9853), tc_fun(_u9853, tc_HOL_Obool)), _u9853), c_COMBB(_u9853, tc_HOL_Obool, _u9853)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u9853), _u9855))))), hAPP(hAPP(c_COMBC(_u9853, tc_fun(_u9853, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9853)), _u9854)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9856) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9856), _u9857)) | ( _u9857 = c_Orderings_Obot__class_Obot(tc_fun(_u9856, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9856), _u9858), c_Big__Operators_Olattice_OSup__fin(_u9856, c_Orderings_Oord__class_Omax(_u9856), _u9857)) = c_Big__Operators_Olattice_OSup__fin(_u9856, c_Orderings_Oord__class_Omax(_u9856), hAPP(c_Set_OCollect(_u9856), hAPP(hAPP(c_COMBB(tc_fun(_u9856, tc_HOL_Obool), tc_HOL_Obool, _u9856), c_HOL_OEx(_u9856)), hAPP(hAPP(c_COMBC(_u9856, tc_fun(_u9856, tc_HOL_Obool), tc_fun(_u9856, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9856, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9856, tc_HOL_Obool), tc_fun(_u9856, tc_HOL_Obool)), _u9856), c_COMBS(_u9856, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9856, tc_HOL_Obool), tc_fun(_u9856, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9856), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9856), c_fconj)), hAPP(hAPP(c_COMBC(_u9856, tc_fun(_u9856, _u9856), tc_fun(_u9856, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9856, tc_HOL_Obool), tc_fun(tc_fun(_u9856, _u9856), tc_fun(_u9856, tc_HOL_Obool)), _u9856), c_COMBB(_u9856, tc_HOL_Obool, _u9856)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u9856), _u9858))))), hAPP(hAPP(c_COMBC(_u9856, tc_fun(_u9856, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9856)), _u9857)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9859), _u9860)) | ( _u9860 = c_Orderings_Obot__class_Obot(tc_fun(_u9859, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9859), _u9861)) | ( _u9861 = c_Orderings_Obot__class_Obot(tc_fun(_u9859, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9859), c_Big__Operators_Olattice_OInf__fin(_u9859, c_Orderings_Oord__class_Omin(_u9859), _u9860)), c_Big__Operators_Olattice_OInf__fin(_u9859, c_Orderings_Oord__class_Omin(_u9859), _u9861)) = c_Big__Operators_Olattice_OInf__fin(_u9859, c_Orderings_Oord__class_Omin(_u9859), hAPP(c_Set_OCollect(_u9859), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_HOL_Obool), tc_HOL_Obool, _u9859), c_HOL_OEx(_u9859)), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool)), tc_fun(_u9859, tc_HOL_Obool), _u9859), hAPP(c_COMBB(tc_fun(_u9859, tc_HOL_Obool), tc_HOL_Obool, _u9859), c_HOL_OEx(_u9859))), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool)), tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_fun(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool))), tc_fun(tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool)), tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool))), _u9859), c_COMBS(_u9859, tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_fun(_u9859, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9859, tc_fun(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool))), _u9859), hAPP(c_COMBB(tc_fun(_u9859, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool)), _u9859), c_COMBS(_u9859, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool)), tc_fun(_u9859, tc_fun(_u9859, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9859), hAPP(c_COMBB(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9859), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9859), c_fconj))), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_fun(_u9859, _u9859)), tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9859, _u9859), tc_fun(_u9859, tc_HOL_Obool)), tc_fun(tc_fun(_u9859, tc_fun(_u9859, _u9859)), tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool))), _u9859), c_COMBB(tc_fun(_u9859, _u9859), tc_fun(_u9859, tc_HOL_Obool), _u9859)), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_HOL_Obool), tc_fun(tc_fun(_u9859, _u9859), tc_fun(_u9859, tc_HOL_Obool)), _u9859), c_COMBB(_u9859, tc_HOL_Obool, _u9859)), c_fequal))), c_Orderings_Oord__class_Omax(_u9859)))))), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool)), _u9859), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9859)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9859), c_fconj), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9859)), _u9860)))), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9859)), _u9861)))))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9862), _u9863)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9862, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u9862, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u9862, tc_HOL_Obool), tc_fun(_u9862, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u9862, tc_HOL_Obool))), _u9863)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u9864), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9864, tc_HOL_Obool)), _u9865)) = hAPP(c_Set_OCollect(tc_fun(_u9864, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u9864, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u9864, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u9864, tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u9864, tc_HOL_Obool)), c_COMBS(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u9864, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u9864, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u9864, tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_fun(_u9864, tc_HOL_Obool)), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_fun(_u9864, tc_HOL_Obool)), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u9864, tc_HOL_Obool)), c_COMBB(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u9864, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9864, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u9864, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u9864, tc_HOL_Obool)), _u9865)), c_Set_OPow(_u9864)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u9866), _u9867) = hAPP(c_Set_OCollect(tc_fun(_u9866, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u9866, tc_HOL_Obool), tc_fun(_u9866, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u9866, tc_HOL_Obool))), _u9867))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9868), hAPP(c_Set_OCollect(_u9868), _u9869))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9870), hAPP(c_Set_OCollect(_u9870), hAPP(hAPP(c_COMBB(tc_fun(_u9868, tc_HOL_Obool), tc_HOL_Obool, _u9870), c_HOL_OEx(_u9868)), hAPP(hAPP(c_COMBC(_u9870, tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9868, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9868, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9868, tc_HOL_Obool)), _u9870), c_COMBS(_u9868, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9868, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9870), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9868), c_fconj)), hAPP(hAPP(c_COMBC(_u9870, tc_fun(_u9868, _u9870), tc_fun(_u9868, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9870, tc_HOL_Obool), tc_fun(tc_fun(_u9868, _u9870), tc_fun(_u9868, tc_HOL_Obool)), _u9870), c_COMBB(_u9870, tc_HOL_Obool, _u9868)), c_fequal)), _u9871)))), _u9869))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9874), hAPP(c_Set_OCollect(_u9874), _u9875))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_HOL_Obool, _u9876), c_HOL_OEx(_u9874)), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_fun(_u9874, tc_HOL_Obool), _u9876), hAPP(c_COMBS(_u9874, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9874), c_fconj), _u9875))), _u9877))))) | ~hBOOL(hAPP(_u9875, _u9872)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBC(_u9876, _u9874, tc_HOL_Obool), _u9877), _u9872)))) )).
% 12.17/12.40 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9874), hAPP(c_Set_OCollect(_u9874), _u9875))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_HOL_Obool, _u9876), c_HOL_OEx(_u9874)), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_fun(_u9874, tc_HOL_Obool), _u9876), hAPP(c_COMBS(_u9874, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9874), c_fconj), _u9875))), _u9877))))) | hBOOL(hAPP(_u9875, skolem250(_u9877, _u9876, _u9875, _u9874))) )).
% 12.17/12.40 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9874), hAPP(c_Set_OCollect(_u9874), _u9875))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_HOL_Obool, _u9876), c_HOL_OEx(_u9874)), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_fun(_u9874, tc_HOL_Obool), _u9876), hAPP(c_COMBS(_u9874, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9874), c_fconj), _u9875))), _u9877))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBC(_u9876, _u9874, tc_HOL_Obool), _u9877), skolem250(_u9877, _u9876, _u9875, _u9874))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 12.17/12.40 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)))), _u9878))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 12.17/12.40 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)))), _u9879)) = 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), _u9879), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u9880) = 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), _u9880), c_Int_Onat))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u9881) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9881), _u9882)) | ( _u9882 = c_Orderings_Obot__class_Obot(tc_fun(_u9881, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9881), _u9883), c_Big__Operators_Olinorder__class_OMin(_u9881, _u9882)) = c_Big__Operators_Olinorder__class_OMin(_u9881, hAPP(c_Set_OCollect(_u9881), hAPP(hAPP(c_COMBB(tc_fun(_u9881, tc_HOL_Obool), tc_HOL_Obool, _u9881), c_HOL_OEx(_u9881)), hAPP(hAPP(c_COMBC(_u9881, tc_fun(_u9881, tc_HOL_Obool), tc_fun(_u9881, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9881, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9881, tc_HOL_Obool), tc_fun(_u9881, tc_HOL_Obool)), _u9881), c_COMBS(_u9881, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9881, tc_HOL_Obool), tc_fun(_u9881, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9881), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9881), c_fconj)), hAPP(hAPP(c_COMBC(_u9881, tc_fun(_u9881, _u9881), tc_fun(_u9881, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9881, tc_HOL_Obool), tc_fun(tc_fun(_u9881, _u9881), tc_fun(_u9881, tc_HOL_Obool)), _u9881), c_COMBB(_u9881, tc_HOL_Obool, _u9881)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u9881), _u9883))))), hAPP(hAPP(c_COMBC(_u9881, tc_fun(_u9881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9881)), _u9882)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u9884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9884), _u9885)) | ( _u9885 = c_Orderings_Obot__class_Obot(tc_fun(_u9884, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9884), _u9886), c_Big__Operators_Olinorder__class_OMax(_u9884, _u9885)) = c_Big__Operators_Olinorder__class_OMax(_u9884, hAPP(c_Set_OCollect(_u9884), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_HOL_Obool), tc_HOL_Obool, _u9884), c_HOL_OEx(_u9884)), hAPP(hAPP(c_COMBC(_u9884, tc_fun(_u9884, tc_HOL_Obool), tc_fun(_u9884, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9884, tc_HOL_Obool), tc_fun(_u9884, tc_HOL_Obool)), _u9884), c_COMBS(_u9884, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_HOL_Obool), tc_fun(_u9884, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9884), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9884), c_fconj)), hAPP(hAPP(c_COMBC(_u9884, tc_fun(_u9884, _u9884), tc_fun(_u9884, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_HOL_Obool), tc_fun(tc_fun(_u9884, _u9884), tc_fun(_u9884, tc_HOL_Obool)), _u9884), c_COMBB(_u9884, tc_HOL_Obool, _u9884)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u9884), _u9886))))), hAPP(hAPP(c_COMBC(_u9884, tc_fun(_u9884, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9884)), _u9885)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u9887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9887), _u9888)) | ( _u9888 = c_Orderings_Obot__class_Obot(tc_fun(_u9887, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9887), _u9889)) | ( _u9889 = c_Orderings_Obot__class_Obot(tc_fun(_u9887, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9887), c_Big__Operators_Olattice__class_OInf__fin(_u9887, _u9888)), c_Big__Operators_Olattice__class_OInf__fin(_u9887, _u9889)) = c_Big__Operators_Olattice__class_OInf__fin(_u9887, hAPP(c_Set_OCollect(_u9887), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_HOL_Obool), tc_HOL_Obool, _u9887), c_HOL_OEx(_u9887)), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool)), tc_fun(_u9887, tc_HOL_Obool), _u9887), hAPP(c_COMBB(tc_fun(_u9887, tc_HOL_Obool), tc_HOL_Obool, _u9887), c_HOL_OEx(_u9887))), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool)), tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_fun(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool))), tc_fun(tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool)), tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool))), _u9887), c_COMBS(_u9887, tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_fun(_u9887, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9887, tc_fun(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool))), _u9887), hAPP(c_COMBB(tc_fun(_u9887, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool)), _u9887), c_COMBS(_u9887, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool)), tc_fun(_u9887, tc_fun(_u9887, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9887), hAPP(c_COMBB(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9887), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9887), c_fconj))), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_fun(_u9887, _u9887)), tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9887, _u9887), tc_fun(_u9887, tc_HOL_Obool)), tc_fun(tc_fun(_u9887, tc_fun(_u9887, _u9887)), tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool))), _u9887), c_COMBB(tc_fun(_u9887, _u9887), tc_fun(_u9887, tc_HOL_Obool), _u9887)), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_HOL_Obool), tc_fun(tc_fun(_u9887, _u9887), tc_fun(_u9887, tc_HOL_Obool)), _u9887), c_COMBB(_u9887, tc_HOL_Obool, _u9887)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u9887)))))), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool)), _u9887), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9887)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9887), c_fconj), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9887)), _u9888)))), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9887)), _u9889)))))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u9890) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9890), _u9891)) | ( _u9891 = c_Orderings_Obot__class_Obot(tc_fun(_u9890, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9890), _u9892), c_Big__Operators_Olattice__class_OInf__fin(_u9890, _u9891)) = c_Big__Operators_Olattice__class_OInf__fin(_u9890, hAPP(c_Set_OCollect(_u9890), hAPP(hAPP(c_COMBB(tc_fun(_u9890, tc_HOL_Obool), tc_HOL_Obool, _u9890), c_HOL_OEx(_u9890)), hAPP(hAPP(c_COMBC(_u9890, tc_fun(_u9890, tc_HOL_Obool), tc_fun(_u9890, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9890, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9890, tc_HOL_Obool), tc_fun(_u9890, tc_HOL_Obool)), _u9890), c_COMBS(_u9890, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9890, tc_HOL_Obool), tc_fun(_u9890, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9890), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9890), c_fconj)), hAPP(hAPP(c_COMBC(_u9890, tc_fun(_u9890, _u9890), tc_fun(_u9890, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9890, tc_HOL_Obool), tc_fun(tc_fun(_u9890, _u9890), tc_fun(_u9890, tc_HOL_Obool)), _u9890), c_COMBB(_u9890, tc_HOL_Obool, _u9890)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9890), _u9892))))), hAPP(hAPP(c_COMBC(_u9890, tc_fun(_u9890, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9890)), _u9891)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u9893) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9893), _u9894)) | ( _u9894 = c_Orderings_Obot__class_Obot(tc_fun(_u9893, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9893), _u9895)) | ( _u9895 = c_Orderings_Obot__class_Obot(tc_fun(_u9893, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9893), c_Big__Operators_Olattice__class_OSup__fin(_u9893, _u9894)), c_Big__Operators_Olattice__class_OSup__fin(_u9893, _u9895)) = c_Big__Operators_Olattice__class_OSup__fin(_u9893, hAPP(c_Set_OCollect(_u9893), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_HOL_Obool, _u9893), c_HOL_OEx(_u9893)), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool)), tc_fun(_u9893, tc_HOL_Obool), _u9893), hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_HOL_Obool, _u9893), c_HOL_OEx(_u9893))), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool)), tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_fun(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool))), tc_fun(tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool)), tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool))), _u9893), c_COMBS(_u9893, tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_fun(_u9893, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9893, tc_fun(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool))), _u9893), hAPP(c_COMBB(tc_fun(_u9893, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool)), _u9893), c_COMBS(_u9893, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool)), tc_fun(_u9893, tc_fun(_u9893, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9893), hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9893), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9893), c_fconj))), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_fun(_u9893, _u9893)), tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9893, _u9893), tc_fun(_u9893, tc_HOL_Obool)), tc_fun(tc_fun(_u9893, tc_fun(_u9893, _u9893)), tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool))), _u9893), c_COMBB(tc_fun(_u9893, _u9893), tc_fun(_u9893, tc_HOL_Obool), _u9893)), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_fun(tc_fun(_u9893, _u9893), tc_fun(_u9893, tc_HOL_Obool)), _u9893), c_COMBB(_u9893, tc_HOL_Obool, _u9893)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u9893)))))), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool)), _u9893), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9893)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9893), c_fconj), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9893)), _u9894)))), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9893)), _u9895)))))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u9896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9896), _u9897)) | ( _u9897 = c_Orderings_Obot__class_Obot(tc_fun(_u9896, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9896), _u9898), c_Big__Operators_Olattice__class_OSup__fin(_u9896, _u9897)) = c_Big__Operators_Olattice__class_OSup__fin(_u9896, hAPP(c_Set_OCollect(_u9896), hAPP(hAPP(c_COMBB(tc_fun(_u9896, tc_HOL_Obool), tc_HOL_Obool, _u9896), c_HOL_OEx(_u9896)), hAPP(hAPP(c_COMBC(_u9896, tc_fun(_u9896, tc_HOL_Obool), tc_fun(_u9896, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9896, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9896, tc_HOL_Obool), tc_fun(_u9896, tc_HOL_Obool)), _u9896), c_COMBS(_u9896, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9896, tc_HOL_Obool), tc_fun(_u9896, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9896), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9896), c_fconj)), hAPP(hAPP(c_COMBC(_u9896, tc_fun(_u9896, _u9896), tc_fun(_u9896, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9896, tc_HOL_Obool), tc_fun(tc_fun(_u9896, _u9896), tc_fun(_u9896, tc_HOL_Obool)), _u9896), c_COMBB(_u9896, tc_HOL_Obool, _u9896)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9896), _u9898))))), hAPP(hAPP(c_COMBC(_u9896, tc_fun(_u9896, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9896)), _u9897)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9899), _u9900)) | ( _u9900 = c_Orderings_Obot__class_Obot(tc_fun(_u9899, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9899), _u9901)) | ( _u9901 = c_Orderings_Obot__class_Obot(tc_fun(_u9899, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9899), c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), _u9900)), c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), _u9901)) = c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), hAPP(c_Set_OCollect(_u9899), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_HOL_Obool), tc_HOL_Obool, _u9899), c_HOL_OEx(_u9899)), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool)), tc_fun(_u9899, tc_HOL_Obool), _u9899), hAPP(c_COMBB(tc_fun(_u9899, tc_HOL_Obool), tc_HOL_Obool, _u9899), c_HOL_OEx(_u9899))), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool)), tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool))), tc_fun(tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool)), tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool))), _u9899), c_COMBS(_u9899, tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(_u9899, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9899, tc_fun(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool))), _u9899), hAPP(c_COMBB(tc_fun(_u9899, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), _u9899), c_COMBS(_u9899, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool)), tc_fun(_u9899, tc_fun(_u9899, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9899), hAPP(c_COMBB(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9899), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9899), c_fconj))), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_fun(_u9899, _u9899)), tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9899, _u9899), tc_fun(_u9899, tc_HOL_Obool)), tc_fun(tc_fun(_u9899, tc_fun(_u9899, _u9899)), tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool))), _u9899), c_COMBB(tc_fun(_u9899, _u9899), tc_fun(_u9899, tc_HOL_Obool), _u9899)), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_HOL_Obool), tc_fun(tc_fun(_u9899, _u9899), tc_fun(_u9899, tc_HOL_Obool)), _u9899), c_COMBB(_u9899, tc_HOL_Obool, _u9899)), c_fequal))), c_Orderings_Oord__class_Omin(_u9899)))))), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), _u9899), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9899)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9899), c_fconj), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9899)), _u9900)))), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9899)), _u9901)))))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9903), _u9904)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9905), _u9906)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9903, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_Nat_Onat, _u9903), c_Finite__Set_Ocard(_u9905)), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), c_Set_OCollect(_u9905)), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), hAPP(c_COMBS(_u9905, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9905), c_fconj), hAPP(hAPP(c_COMBC(_u9905, tc_fun(_u9905, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9905)), _u9906)))), _u9907)))), _u9904) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9905, tc_Nat_Onat), _u9908), _u9906)) | hBOOL(hAPP(hAPP(c_member(_u9905), skolem251(_u9908, _u9907, _u9906, _u9905, _u9904, _u9903)), _u9906)) )).
% 12.17/12.40 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9903), _u9904)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9905), _u9906)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9903, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_Nat_Onat, _u9903), c_Finite__Set_Ocard(_u9905)), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), c_Set_OCollect(_u9905)), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), hAPP(c_COMBS(_u9905, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9905), c_fconj), hAPP(hAPP(c_COMBC(_u9905, tc_fun(_u9905, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9905)), _u9906)))), _u9907)))), _u9904) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9905, tc_Nat_Onat), _u9908), _u9906)) | ( hAPP(c_Finite__Set_Ocard(_u9903), hAPP(c_Set_OCollect(_u9903), hAPP(hAPP(c_COMBS(_u9903, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9903), c_fconj), hAPP(hAPP(c_COMBC(_u9903, tc_fun(_u9903, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9903)), _u9904))), hAPP(hAPP(c_COMBC(_u9903, _u9905, tc_HOL_Obool), _u9907), skolem251(_u9908, _u9907, _u9906, _u9905, _u9904, _u9903))))) != hAPP(_u9908, skolem251(_u9908, _u9907, _u9906, _u9905, _u9904, _u9903))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9915), _u9917)) | ( _u9917 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u9915, skolem253(_u9917, _u9915)), 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)), skolem252(_u9917, _u9915))))) )).
% 12.17/12.40 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u9918 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u9916, _u9911), 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)), _u9912)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9916), _u9918)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9920), _u9921)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9922), hAPP(c_Set_Oimage(_u9920, _u9922, _u9923), _u9921))) | hBOOL(hAPP(hAPP(c_member(_u9920), skolem254(_u9923, _u9922, _u9921, _u9920)), _u9921)) )).
% 12.17/12.40 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9920), _u9921)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9922), hAPP(c_Set_Oimage(_u9920, _u9922, _u9923), _u9921))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9920), hAPP(c_Set_OCollect(_u9920), hAPP(hAPP(c_COMBS(_u9920, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9920), c_fconj), hAPP(hAPP(c_COMBC(_u9920, tc_fun(_u9920, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9920)), _u9921))), hAPP(hAPP(c_COMBC(_u9920, _u9922, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u9922, tc_fun(_u9922, tc_HOL_Obool), _u9920), c_fequal), _u9923)), hAPP(_u9923, skolem254(_u9923, _u9922, _u9921, _u9920))))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9924), _u9925)) | ~c_Fun_Oinj__on(_u9924, tc_fun(tc_fun(_u9924, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u9924, tc_fun(tc_prod(_u9924, _u9924), tc_HOL_Obool), tc_fun(tc_fun(_u9924, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9924, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u9924, _u9924), tc_HOL_Obool), tc_fun(tc_fun(_u9924, tc_HOL_Obool), tc_HOL_Obool)), _u9924), c_Equiv__Relations_Oquotient(_u9924)), hAPP(hAPP(c_COMBC(_u9924, tc_fun(_u9924, tc_HOL_Obool), tc_fun(_u9924, tc_HOL_Obool)), c_Set_Oinsert(_u9924)), c_Orderings_Obot__class_Obot(tc_fun(_u9924, tc_HOL_Obool))))), _u9926), _u9925) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u9924, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9924), _u9925), _u9926)) = hAPP(c_Finite__Set_Ocard(_u9924), _u9925)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9930), _u9932), _u9934) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9930, tc_HOL_Obool), tc_HOL_Obool))) | ( _u9932 = c_Orderings_Obot__class_Obot(tc_fun(_u9930, tc_HOL_Obool))) )).
% 12.17/12.40 cnf(fact_quotient__is__empty-2, axiom, ( ( _u9933 != c_Orderings_Obot__class_Obot(tc_fun(_u9931, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9931), _u9933), _u9935) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9931, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9939, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9939), _u9941), _u9943)) | ( _u9941 = c_Orderings_Obot__class_Obot(tc_fun(_u9939, tc_HOL_Obool))) )).
% 12.17/12.40 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u9942 != c_Orderings_Obot__class_Obot(tc_fun(_u9940, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9940, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9940), _u9942), _u9944)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9945), c_Orderings_Obot__class_Obot(tc_fun(_u9945, tc_HOL_Obool))), _u9946) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9945, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u9947, tc_fun(tc_fun(_u9947, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u9947, tc_fun(tc_prod(_u9947, _u9947), tc_HOL_Obool), tc_fun(tc_fun(_u9947, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9947, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u9947, _u9947), tc_HOL_Obool), tc_fun(tc_fun(_u9947, tc_HOL_Obool), tc_HOL_Obool)), _u9947), c_Equiv__Relations_Oquotient(_u9947)), hAPP(hAPP(c_COMBC(_u9947, tc_fun(_u9947, tc_HOL_Obool), tc_fun(_u9947, tc_HOL_Obool)), c_Set_Oinsert(_u9947)), c_Orderings_Obot__class_Obot(tc_fun(_u9947, tc_HOL_Obool))))), _u9948), _u9949) | ~hBOOL(hAPP(hAPP(c_member(_u9947), _u9950), _u9949)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9947), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9947, tc_HOL_Obool)), _u9949), hAPP(hAPP(c_Set_Oinsert(_u9947), _u9950), c_Orderings_Obot__class_Obot(tc_fun(_u9947, tc_HOL_Obool))))), _u9948) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u9947, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9947), _u9949), _u9948)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9947), hAPP(hAPP(c_Set_Oinsert(_u9947), _u9950), c_Orderings_Obot__class_Obot(tc_fun(_u9947, tc_HOL_Obool)))), _u9948))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9951), _u9952), _u9953) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9951, tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool)), _u9952), hAPP(hAPP(c_COMBC(_u9951, tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9951, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool)), _u9951), c_Set_Oinsert(tc_fun(_u9951, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9951, tc_HOL_Obool), tc_fun(_u9951, tc_HOL_Obool), _u9951), c_Relation_OImage(_u9951, _u9951, _u9953)), hAPP(hAPP(c_COMBC(_u9951, tc_fun(_u9951, tc_HOL_Obool), tc_fun(_u9951, tc_HOL_Obool)), c_Set_Oinsert(_u9951)), c_Orderings_Obot__class_Obot(tc_fun(_u9951, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9954), hAPP(hAPP(c_Set_Oinsert(_u9954), _u9955), c_Orderings_Obot__class_Obot(tc_fun(_u9954, tc_HOL_Obool)))), _u9956) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9954, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9954, _u9954, _u9956), hAPP(hAPP(c_Set_Oinsert(_u9954), _u9955), c_Orderings_Obot__class_Obot(tc_fun(_u9954, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9954, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9958), _u9959)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9960), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9958, tc_fun(_u9960, tc_HOL_Obool)), _u9959), _u9961))) | hBOOL(hAPP(hAPP(c_member(_u9958), skolem255(_u9961, _u9960, _u9959, _u9958)), _u9959)) )).
% 12.17/12.40 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9958), _u9959)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9960), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9958, tc_fun(_u9960, tc_HOL_Obool)), _u9959), _u9961))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9960), hAPP(_u9961, skolem255(_u9961, _u9960, _u9959, _u9958)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u9964), _u9963) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem256(_u9964, _u9963)), _u9963)) )).
% 12.17/12.40 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)), _u9964), _u9963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9964), skolem256(_u9964, _u9963))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9966), _u9967)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9965, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9965, _u9965, _u9968), hAPP(hAPP(c_Set_Oinsert(_u9965), _u9966), c_Orderings_Obot__class_Obot(tc_fun(_u9965, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9965), _u9967), _u9968))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u9969, _u9970, _u9971), _u9972) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9969, tc_fun(_u9970, tc_HOL_Obool)), _u9972), hAPP(hAPP(c_COMBB(tc_fun(_u9969, tc_HOL_Obool), tc_fun(_u9970, tc_HOL_Obool), _u9969), c_Relation_OImage(_u9969, _u9970, _u9971)), hAPP(hAPP(c_COMBC(_u9969, tc_fun(_u9969, tc_HOL_Obool), tc_fun(_u9969, tc_HOL_Obool)), c_Set_Oinsert(_u9969)), c_Orderings_Obot__class_Obot(tc_fun(_u9969, tc_HOL_Obool)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9973, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9974, _u9973, _u9975), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9976, tc_fun(_u9974, tc_HOL_Obool)), _u9977), _u9978))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9976, tc_fun(_u9973, tc_HOL_Obool)), _u9977), hAPP(hAPP(c_COMBB(tc_fun(_u9974, tc_HOL_Obool), tc_fun(_u9973, tc_HOL_Obool), _u9976), c_Relation_OImage(_u9974, _u9973, _u9975)), _u9978)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9979, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9980, _u9979, _u9981), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9980, tc_HOL_Obool)), _u9982), _u9983))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9979, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9980, _u9979, _u9981), _u9982)), hAPP(c_Relation_OImage(_u9980, _u9979, _u9981), _u9983)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u9984, _u9985, _u9986), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9987, tc_fun(_u9984, tc_HOL_Obool)), _u9988), _u9989)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9987, tc_fun(_u9985, tc_HOL_Obool)), _u9988), hAPP(hAPP(c_COMBB(tc_fun(_u9984, tc_HOL_Obool), tc_fun(_u9985, tc_HOL_Obool), _u9987), c_Relation_OImage(_u9984, _u9985, _u9986)), _u9989))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u9990, _u9991, _u9992), c_Orderings_Obot__class_Obot(tc_fun(_u9990, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9991, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9993, _u9994), tc_HOL_Obool)), _u9995), _u9996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9993, tc_HOL_Obool)), _u9997), _u9998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9994, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9993, _u9994, _u9995), _u9997)), hAPP(c_Relation_OImage(_u9993, _u9994, _u9996), _u9998))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u9999, _u10000, _u10001), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9999, tc_HOL_Obool)), _u10002), _u10003)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10000, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9999, _u10000, _u10001), _u10002)), hAPP(c_Relation_OImage(_u9999, _u10000, _u10001), _u10003))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u10004, _u10005, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10004, _u10005), tc_HOL_Obool)), _u10006), _u10007)), _u10008) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10005, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10004, _u10005, _u10006), _u10008)), hAPP(c_Relation_OImage(_u10004, _u10005, _u10007), _u10008))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10010, tc_HOL_Obool)), _u10011), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10010), _u10012), _u10013))) | ( _u10011 = hAPP(c_Relation_OImage(_u10010, _u10010, _u10013), hAPP(hAPP(c_Set_Oinsert(_u10010), skolem257(_u10013, _u10012, _u10011, _u10010)), c_Orderings_Obot__class_Obot(tc_fun(_u10010, tc_HOL_Obool))))) )).
% 12.17/12.40 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10010, tc_HOL_Obool)), _u10011), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10010), _u10012), _u10013))) | hBOOL(hAPP(hAPP(c_member(_u10010), skolem257(_u10013, _u10012, _u10011, _u10010)), _u10012)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10016)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10018)), hAPP(c_Int_Onat, _u10016)) = hAPP(c_Int_Onat, _u10018)) )).
% 12.17/12.40 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10017)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10019)), hAPP(c_Int_Onat, _u10017)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10019), _u10017)), 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10021, tc_Nat_Onat), _u10022), _u10023) != hAPP(c_Nat_OSuc, _u10024)) | hBOOL(hAPP(hAPP(c_member(_u10021), skolem258(_u10024, _u10023, _u10022, _u10021)), _u10023)) )).
% 12.17/12.40 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10021, tc_Nat_Onat), _u10022), _u10023) != hAPP(c_Nat_OSuc, _u10024)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10022, skolem258(_u10024, _u10023, _u10022, _u10021)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10026, _u10027) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10028, _u10027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10028), _u10026)) | ( _u10026 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10027), skolem259(_u10028, _u10027, _u10026)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10029))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__by__empty-1, axiom, ( ( _u10030 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10031, _u10031), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10031, _u10031), tc_HOL_Obool)), _u10030), _u10032)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10034)) )).
% 12.17/12.40 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)), _u10035)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10035)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10037), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10038), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10038)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10039)) | ( hAPP(c_Int_Onat, _u10039) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10040)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10040)) = _u10040) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 12.17/12.40 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, _u10041))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osize_I5_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osize_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u10042, _u10043, _u10044)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u10043)), c_Com_Ocom_Ocom__size(_u10044))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osize_I13_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osize_I13_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u10045, _u10046, _u10047)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u10046)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u10047))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10051)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10049, _u10050, c_Groups_Otimes__class_Otimes(_u10049)), _u10052), c_Groups_Oone__class_Oone(_u10049)), _u10051) = c_Groups_Oone__class_Oone(_u10049)) | hBOOL(hAPP(hAPP(c_member(_u10050), skolem260(_u10052, _u10051, _u10050, _u10049)), _u10051)) )).
% 12.17/12.40 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10051)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10049, _u10050, c_Groups_Otimes__class_Otimes(_u10049)), _u10052), c_Groups_Oone__class_Oone(_u10049)), _u10051) = c_Groups_Oone__class_Oone(_u10049)) | ( hAPP(_u10052, skolem260(_u10052, _u10051, _u10050, _u10049)) != c_Groups_Oone__class_Oone(_u10049)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10054), _u10055)) | ( hAPP(c_Finite__Set_Ocard(_u10054), _u10055) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10054), skolem261(_u10055, _u10054)), _u10055)) )).
% 12.17/12.40 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10054), _u10055)) | ( hAPP(c_Finite__Set_Ocard(_u10054), _u10055) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I4_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I4_J-1, axiom, ( ( c_Com_Ocom_OCond(_u10062, _u10064, _u10066) != c_Com_Ocom_OCond(_u10068, _u10070, _u10072)) | ( _u10062 = _u10068) )).
% 12.17/12.40 cnf(fact_com_Osimps_I4_J-2, axiom, ( ( c_Com_Ocom_OCond(_u10062, _u10064, _u10066) != c_Com_Ocom_OCond(_u10068, _u10070, _u10072)) | ( _u10064 = _u10070) )).
% 12.17/12.40 cnf(fact_com_Osimps_I4_J-3, axiom, ( ( c_Com_Ocom_OCond(_u10062, _u10064, _u10066) != c_Com_Ocom_OCond(_u10068, _u10070, _u10072)) | ( _u10066 = _u10072) )).
% 12.17/12.40 cnf(fact_com_Osimps_I4_J-4, axiom, ( ( _u10063 != _u10069) | ( _u10065 != _u10071) | ( _u10067 != _u10073) | ( c_Com_Ocom_OCond(_u10063, _u10065, _u10067) = c_Com_Ocom_OCond(_u10069, _u10071, _u10073)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I52_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I52_J-1, axiom, ( ( c_Com_Ocom_OCond(_u10074, _u10075, _u10076) != c_Com_Ocom_OWhile(_u10077, _u10078)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I53_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I53_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u10079, _u10080) != c_Com_Ocom_OCond(_u10081, _u10082, _u10083)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I45_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I45_J-1, axiom, ( ( c_Com_Ocom_OCond(_u10084, _u10085, _u10086) != c_Com_Ocom_OSemi(_u10087, _u10088)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I44_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I44_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u10089, _u10090) != c_Com_Ocom_OCond(_u10091, _u10092, _u10093)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I15_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I15_J-1, axiom, ( ( c_Com_Ocom_OCond(_u10094, _u10095, _u10096) != c_Com_Ocom_OSKIP) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I14_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I14_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u10097, _u10098, _u10099)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u10102, _u10103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10103), _u10101)) | hBOOL(hAPP(_u10102, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem262(_u10103, _u10102, _u10101)), _u10101)) )).
% 12.17/12.40 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u10102, _u10103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10103), _u10101)) | hBOOL(hAPP(_u10102, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u10102, skolem262(_u10103, _u10102, _u10101))) )).
% 12.17/12.40 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u10102, _u10103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10103), _u10101)) | hBOOL(hAPP(_u10102, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u10102, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem262(_u10103, _u10102, _u10101)), _u10101))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_InterI ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10105), _u10107), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10105, tc_HOL_Obool), _u10106))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10105, tc_HOL_Obool)), skolem263(_u10107, _u10106, _u10105)), _u10106)) )).
% 12.17/12.40 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10105), _u10107), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10105, tc_HOL_Obool), _u10106))) | ~hBOOL(hAPP(hAPP(c_member(_u10105), _u10107), skolem263(_u10107, _u10106, _u10105))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u10109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10110), _u10111)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10109, _u10110, c_Groups_Otimes__class_Otimes(_u10109)), _u10112), _u10114), _u10111) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10109, _u10110, c_Groups_Otimes__class_Otimes(_u10109)), _u10113), _u10114), _u10111)) | hBOOL(hAPP(hAPP(c_member(_u10110), skolem264(_u10114, _u10113, _u10112, _u10111, _u10110, _u10109)), _u10111)) )).
% 12.17/12.40 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u10109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10110), _u10111)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10109, _u10110, c_Groups_Otimes__class_Otimes(_u10109)), _u10112), _u10114), _u10111) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10109, _u10110, c_Groups_Otimes__class_Otimes(_u10109)), _u10113), _u10114), _u10111)) | ( hAPP(_u10112, skolem264(_u10114, _u10113, _u10112, _u10111, _u10110, _u10109)) != hAPP(_u10113, skolem264(_u10114, _u10113, _u10112, _u10111, _u10110, _u10109))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u10116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10116), _u10117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10116), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10116), _u10118), _u10119)), hAPP(hAPP(c_Finite__Set_Ofold(_u10116, _u10116, c_Lattices_Osemilattice__inf__class_Oinf(_u10116)), _u10119), _u10117))) | hBOOL(hAPP(hAPP(c_member(_u10116), skolem265(_u10119, _u10118, _u10117, _u10116)), _u10117)) )).
% 12.17/12.40 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u10116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10116), _u10117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10116), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10116), _u10118), _u10119)), hAPP(hAPP(c_Finite__Set_Ofold(_u10116, _u10116, c_Lattices_Osemilattice__inf__class_Oinf(_u10116)), _u10119), _u10117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10116), _u10118), skolem265(_u10119, _u10118, _u10117, _u10116))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u10121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10121), _u10122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), hAPP(hAPP(c_Finite__Set_Ofold(_u10121, _u10121, c_Lattices_Osemilattice__sup__class_Osup(_u10121)), _u10124), _u10122)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10121), _u10123), _u10124))) | hBOOL(hAPP(hAPP(c_member(_u10121), skolem266(_u10124, _u10123, _u10122, _u10121)), _u10122)) )).
% 12.17/12.40 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u10121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10121), _u10122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), hAPP(hAPP(c_Finite__Set_Ofold(_u10121, _u10121, c_Lattices_Osemilattice__sup__class_Osup(_u10121)), _u10124), _u10122)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10121), _u10123), _u10124))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), skolem266(_u10124, _u10123, _u10122, _u10121)), _u10123)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10125))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10125) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10125)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10126, _u10127, _u10128) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10126, tc_HOL_Obool)), _u10129), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10126), _u10127), _u10128))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10126, tc_HOL_Obool)), _u10130), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10126), _u10127), _u10128))) | ( _u10129 = _u10130) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10126, tc_HOL_Obool)), _u10129), _u10130) = c_Orderings_Obot__class_Obot(tc_fun(_u10126, tc_HOL_Obool))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osize_I3_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osize_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u10131, _u10132, _u10133)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u10133)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10134) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10135))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10134), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10135)) = c_Groups_Ozero__class_Ozero(_u10134)) )).
% 12.17/12.40 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u10134) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10135))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10134), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10135)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10134), _u10135)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u10136) | ~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), _u10137))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10136), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10137)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10136), _u10137)) )).
% 12.17/12.40 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u10136) | 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), _u10137))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10136), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10137)) = c_Groups_Ozero__class_Ozero(_u10136)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10138) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10138), _u10139) = hAPP(c_Int_Oring__1__class_Oof__int(_u10138), _u10139)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10140) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10140), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10141)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10140), _u10141)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I2_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u10148, _u10150, _u10152) != c_Com_Ocom_OLocal(_u10154, _u10156, _u10158)) | ( _u10148 = _u10154) )).
% 12.17/12.40 cnf(fact_com_Osimps_I2_J-2, axiom, ( ( c_Com_Ocom_OLocal(_u10148, _u10150, _u10152) != c_Com_Ocom_OLocal(_u10154, _u10156, _u10158)) | ( _u10150 = _u10156) )).
% 12.17/12.40 cnf(fact_com_Osimps_I2_J-3, axiom, ( ( c_Com_Ocom_OLocal(_u10148, _u10150, _u10152) != c_Com_Ocom_OLocal(_u10154, _u10156, _u10158)) | ( _u10152 = _u10158) )).
% 12.17/12.40 cnf(fact_com_Osimps_I2_J-4, axiom, ( ( _u10149 != _u10155) | ( _u10151 != _u10157) | ( _u10153 != _u10159) | ( c_Com_Ocom_OLocal(_u10149, _u10151, _u10153) = c_Com_Ocom_OLocal(_u10155, _u10157, _u10159)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u10160) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10160), _u10161) != _u10162) | ( _u10162 = hAPP(c_Int_Onumber__class_Onumber__of(_u10160), _u10161)) )).
% 12.17/12.40 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u10160) | ( _u10162 != hAPP(c_Int_Onumber__class_Onumber__of(_u10160), _u10161)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10160), _u10161) = _u10162) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10163) | ~class_Int_Oring__char__0(_u10163) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10163), _u10164) != hAPP(c_Int_Onumber__class_Onumber__of(_u10163), _u10165)) | ( _u10164 = _u10165) )).
% 12.17/12.40 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10163) | ~class_Int_Oring__char__0(_u10163) | ( _u10164 != _u10165) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10163), _u10164) = hAPP(c_Int_Onumber__class_Onumber__of(_u10163), _u10165)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I39_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I39_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u10166, _u10167) != c_Com_Ocom_OLocal(_u10168, _u10169, _u10170)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I38_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I38_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u10171, _u10172, _u10173) != c_Com_Ocom_OWhile(_u10174, _u10175)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I37_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I37_J-1, axiom, ( ( c_Com_Ocom_OCond(_u10176, _u10177, _u10178) != c_Com_Ocom_OLocal(_u10179, _u10180, _u10181)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I36_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I36_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u10182, _u10183, _u10184) != c_Com_Ocom_OCond(_u10185, _u10186, _u10187)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I34_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I34_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u10188, _u10189, _u10190) != c_Com_Ocom_OSemi(_u10191, _u10192)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I35_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I35_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u10193, _u10194) != c_Com_Ocom_OLocal(_u10195, _u10196, _u10197)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I11_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I11_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u10198, _u10199, _u10200) != c_Com_Ocom_OSKIP) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osimps_I10_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osimps_I10_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u10201, _u10202, _u10203)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u10204) | ~class_Orderings_Olinorder(_u10204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10204), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10205)), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10206))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10204), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10206)), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10205))) )).
% 12.17/12.40 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u10204) | ~class_Orderings_Olinorder(_u10204) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10204), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10206)), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10205))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10204), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10205)), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10206))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10207) | ~class_Rings_Osemiring(_u10207) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10207), hAPP(c_Int_Onumber__class_Onumber__of(_u10207), _u10208)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10207), _u10209), _u10210)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10207), hAPP(c_Int_Onumber__class_Onumber__of(_u10207), _u10208)), _u10209)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10207), hAPP(c_Int_Onumber__class_Onumber__of(_u10207), _u10208)), _u10210))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10211) | ~class_Rings_Osemiring(_u10211) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10211), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10211), _u10212), _u10213)), hAPP(c_Int_Onumber__class_Onumber__of(_u10211), _u10214)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10211), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10211), _u10212), hAPP(c_Int_Onumber__class_Onumber__of(_u10211), _u10214))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10211), _u10213), hAPP(c_Int_Onumber__class_Onumber__of(_u10211), _u10214)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10215) | ~class_Rings_Oring(_u10215) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10215), hAPP(c_Int_Onumber__class_Onumber__of(_u10215), _u10216)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10215), _u10217), _u10218)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10215), hAPP(c_Int_Onumber__class_Onumber__of(_u10215), _u10216)), _u10217)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10215), hAPP(c_Int_Onumber__class_Onumber__of(_u10215), _u10216)), _u10218))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10219) | ~class_Rings_Oring(_u10219) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10219), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10219), _u10220), _u10221)), hAPP(c_Int_Onumber__class_Onumber__of(_u10219), _u10222)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10219), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10219), _u10220), hAPP(c_Int_Onumber__class_Onumber__of(_u10219), _u10222))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10219), _u10221), hAPP(c_Int_Onumber__class_Onumber__of(_u10219), _u10222)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10223) | ~class_Rings_Olinordered__idom(_u10223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10223), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10224)), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10224), _u10225)) )).
% 12.17/12.40 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10223) | ~class_Rings_Olinordered__idom(_u10223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10224), _u10225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10223), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10224)), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10225))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10226) | ~class_Rings_Olinordered__idom(_u10226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10226), hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10227)), hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10228))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10228)) )).
% 12.17/12.40 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10226) | ~class_Rings_Olinordered__idom(_u10226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10226), hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10227)), hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10228))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u10229) | ~class_Orderings_Oord(_u10229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10229), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10229), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)) )).
% 12.17/12.40 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u10229) | ~class_Orderings_Oord(_u10229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10229), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10229), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u10232) | ~class_Orderings_Oord(_u10232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10232), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10232), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234)) )).
% 12.17/12.40 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u10232) | ~class_Orderings_Oord(_u10232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10232), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10232), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u10235) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10235), hAPP(c_Int_Onumber__class_Onumber__of(_u10235), _u10236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10235), hAPP(c_Int_Onumber__class_Onumber__of(_u10235), _u10237)), _u10238)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10235), hAPP(c_Int_Onumber__class_Onumber__of(_u10235), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10236), _u10237))), _u10238)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10239) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10239), hAPP(c_Int_Onumber__class_Onumber__of(_u10239), _u10240)), hAPP(c_Int_Onumber__class_Onumber__of(_u10239), _u10241)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10239), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10240), _u10241))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u10242) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10242), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10243), _u10244)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10242), hAPP(c_Int_Onumber__class_Onumber__of(_u10242), _u10243)), hAPP(c_Int_Onumber__class_Onumber__of(_u10242), _u10244))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u10245) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10245), hAPP(c_Int_Onumber__class_Onumber__of(_u10245), _u10246)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10245), hAPP(c_Int_Onumber__class_Onumber__of(_u10245), _u10247)), _u10248)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10245), hAPP(c_Int_Onumber__class_Onumber__of(_u10245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10246), _u10247))), _u10248)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u10249) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10249), hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10250)), hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10251)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10250), _u10251))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u10252) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10252), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10253), _u10254)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10252), hAPP(c_Int_Onumber__class_Onumber__of(_u10252), _u10253)), hAPP(c_Int_Onumber__class_Onumber__of(_u10252), _u10254))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u10255) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10256), _u10257)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10255), hAPP(c_Int_Onumber__class_Onumber__of(_u10255), _u10256)), hAPP(c_Int_Onumber__class_Onumber__of(_u10255), _u10257))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u10258) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10258), hAPP(c_Int_Onumber__class_Onumber__of(_u10258), _u10259)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10258), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10259))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u10260) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10260), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10261)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10260), hAPP(c_Int_Onumber__class_Onumber__of(_u10260), _u10261))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10262) | hBOOL(hAPP(hAPP(c_member(_u10262), hAPP(c_Int_Onumber__class_Onumber__of(_u10262), _u10263)), c_Int_Oring__1__class_OInts(_u10262))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10264, _u10265, _u10266) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10264, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10264), _u10265), _u10266)) = _u10265) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) != _u10270) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269) = c_Groups_Ozero__class_Ozero(_u10267)) | ( _u10268 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10267), _u10270), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269))) )).
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) != _u10270) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269) != c_Groups_Ozero__class_Ozero(_u10267)) | ( _u10270 = c_Groups_Ozero__class_Ozero(_u10267)) )).
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) = _u10270) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269) != c_Groups_Ozero__class_Ozero(_u10267)) | ( _u10270 != c_Groups_Ozero__class_Ozero(_u10267)) )).
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) = _u10270) | ( _u10268 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10267), _u10270), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269) = c_Groups_Ozero__class_Ozero(_u10267)) )).
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) = _u10270) | ( _u10268 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10267), _u10270), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269))) | ( _u10270 != c_Groups_Ozero__class_Ozero(_u10267)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) != hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10273 = c_Groups_Ozero__class_Ozero(_u10271)) | ( _u10272 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10271), hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)), _u10273)) )).
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) != hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10273 != c_Groups_Ozero__class_Ozero(_u10271)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274) = c_Groups_Ozero__class_Ozero(_u10271)) )).
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) = hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10273 != c_Groups_Ozero__class_Ozero(_u10271)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274) != c_Groups_Ozero__class_Ozero(_u10271)) )).
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) = hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10272 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10271), hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)), _u10273)) | ( _u10273 = c_Groups_Ozero__class_Ozero(_u10271)) )).
% 12.17/12.40 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) = hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10272 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10271), hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)), _u10273)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274) != c_Groups_Ozero__class_Ozero(_u10271)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( _u10278 = c_Groups_Ozero__class_Ozero(_u10275)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10275), hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276)), _u10278) = _u10277) )).
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( _u10278 != c_Groups_Ozero__class_Ozero(_u10275)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) = c_Groups_Ozero__class_Ozero(_u10275)) )).
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( _u10278 != c_Groups_Ozero__class_Ozero(_u10275)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) != c_Groups_Ozero__class_Ozero(_u10275)) )).
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10275), hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276)), _u10278) != _u10277) | ( _u10278 = c_Groups_Ozero__class_Ozero(_u10275)) )).
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10275), hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276)), _u10278) != _u10277) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) != c_Groups_Ozero__class_Ozero(_u10275)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282) = c_Groups_Ozero__class_Ozero(_u10279)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10279), _u10280), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282)) = _u10281) )).
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282) != c_Groups_Ozero__class_Ozero(_u10279)) | ( _u10280 = c_Groups_Ozero__class_Ozero(_u10279)) )).
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282) != c_Groups_Ozero__class_Ozero(_u10279)) | ( _u10280 != c_Groups_Ozero__class_Ozero(_u10279)) )).
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10279), _u10280), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282)) != _u10281) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282) = c_Groups_Ozero__class_Ozero(_u10279)) )).
% 12.17/12.40 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10279), _u10280), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282)) != _u10281) | ( _u10280 != c_Groups_Ozero__class_Ozero(_u10279)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u10283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10283), hAPP(c_Int_Onumber__class_Onumber__of(_u10283), _u10284)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10283), hAPP(c_Int_Onumber__class_Onumber__of(_u10283), _u10285)), _u10286)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10283), hAPP(c_Int_Onumber__class_Onumber__of(_u10283), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10284), _u10285))), _u10286)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u10287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10287), hAPP(c_Groups_Ouminus__class_Ouminus(_u10287), hAPP(c_Int_Onumber__class_Onumber__of(_u10287), _u10288))), _u10289) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10287), hAPP(c_Int_Onumber__class_Onumber__of(_u10287), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10288))), _u10289)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10290) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10290), hAPP(c_Int_Onumber__class_Onumber__of(_u10290), _u10291)), hAPP(c_Int_Onumber__class_Onumber__of(_u10290), _u10292)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10291), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10292)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) )).
% 12.17/12.40 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.17/12.40 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10309) | ~class_Rings_Olinordered__idom(_u10309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)), c_Groups_Ozero__class_Ozero(_u10309))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310))) )).
% 12.17/12.40 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10309) | ~class_Rings_Olinordered__idom(_u10309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)), c_Groups_Ozero__class_Ozero(_u10309))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u10311) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10311), hAPP(c_Int_Onumber__class_Onumber__of(_u10311), _u10312)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10311), _u10313), hAPP(c_Int_Onumber__class_Onumber__of(_u10311), _u10314))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10311), hAPP(c_Int_Onumber__class_Onumber__of(_u10311), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10312), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10314)))), _u10313)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.17/12.40 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) )).
% 12.17/12.40 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10331, _u10332, _u10333) | ~hBOOL(hAPP(hAPP(c_member(_u10331), _u10334), _u10332)) | hBOOL(hAPP(hAPP(c_member(_u10331), _u10334), hAPP(c_Relation_OImage(_u10331, _u10331, _u10333), hAPP(hAPP(c_Set_Oinsert(_u10331), _u10334), c_Orderings_Obot__class_Obot(tc_fun(_u10331, tc_HOL_Obool)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_com_Osize_I11_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_com_Osize_I11_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u10335, _u10336, _u10337)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u10337)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10338, _u10339, _u10340) | ~c_Equiv__Relations_Ocongruent(_u10338, tc_fun(_u10341, tc_HOL_Obool), _u10340, _u10342) | ~hBOOL(hAPP(hAPP(c_member(_u10338), _u10343), _u10339)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10338, tc_fun(_u10341, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10338, _u10338, _u10340), hAPP(hAPP(c_Set_Oinsert(_u10338), _u10343), c_Orderings_Obot__class_Obot(tc_fun(_u10338, tc_HOL_Obool))))), _u10342) = hAPP(_u10342, _u10343)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10344, _u10345, _u10346) | ~c_Equiv__Relations_Oequiv(_u10347, _u10348, _u10349) | ~c_Equiv__Relations_Ocongruent2(_u10344, _u10347, tc_fun(_u10350, tc_HOL_Obool), _u10346, _u10349, _u10351) | ~hBOOL(hAPP(hAPP(c_member(_u10344), _u10352), _u10345)) | ~hBOOL(hAPP(hAPP(c_member(_u10347), _u10353), _u10348)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10344, tc_fun(_u10350, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10344, _u10344, _u10346), hAPP(hAPP(c_Set_Oinsert(_u10344), _u10352), c_Orderings_Obot__class_Obot(tc_fun(_u10344, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u10347, tc_fun(_u10350, tc_HOL_Obool)), tc_fun(_u10350, tc_HOL_Obool), _u10344), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10347, tc_fun(_u10350, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10347, _u10347, _u10349), hAPP(hAPP(c_Set_Oinsert(_u10347), _u10353), c_Orderings_Obot__class_Obot(tc_fun(_u10347, tc_HOL_Obool)))))), _u10351)) = hAPP(hAPP(_u10351, _u10352), _u10353)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10355))) | ( 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), _u10355)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.40 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), _u10356))) | ( 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), _u10356)) = 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), _u10356)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10357)) = 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), _u10357)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10360)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10360), _u10362)) )).
% 12.17/12.40 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10361), _u10363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10361)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10363))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10364)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10364))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10365) = _u10365) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10366)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10367)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10366), _u10367))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10368)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10369)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10368), _u10369))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10372)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10374))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10372), _u10374)) )).
% 12.17/12.40 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10373), _u10375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10373)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10375))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u10376)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10377) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10377))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10378)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10378)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10379, _u10380, _u10381) | ~c_Equiv__Relations_Ocongruent2(_u10379, _u10382, _u10383, _u10381, _u10384, _u10385) | ~hBOOL(hAPP(hAPP(c_member(_u10379), _u10386), _u10380)) | c_Equiv__Relations_Ocongruent(_u10382, _u10383, _u10384, hAPP(_u10385, _u10386)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10387)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10388)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10387), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10388)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10389))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10389) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10392) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10394)) | ( _u10392 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10394))) )).
% 12.17/12.40 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10392) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10394)) | 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), _u10394))) )).
% 12.17/12.40 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u10393 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10395))) | ~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), _u10395))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10393) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10395)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10398) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10400)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10400)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10398) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10400)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10398))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10400))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10398) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10398) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10400)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10398))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10400))) | ( _u10398 = _u10400) )).
% 12.17/12.40 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401))) | ( _u10399 != _u10401) )).
% 12.17/12.40 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401))) )).
% 12.17/12.40 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10399 != _u10401) )).
% 12.17/12.40 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399))) )).
% 12.17/12.40 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401))) | ( _u10399 != _u10401) )).
% 12.17/12.40 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401))) )).
% 12.17/12.40 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10399 != _u10401) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10405))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10405)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10407)), _u10409)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10407)), _u10409)) )).
% 12.17/12.40 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), _u10406))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10408))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10406)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10408)), _u10410)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10406)), _u10410)) )).
% 12.17/12.40 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), _u10406))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10408))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10406)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10408)), _u10410)) = 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), _u10406), _u10408))), _u10410)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10412))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10412)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10413))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10413)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10413)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10416))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10416), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10418)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10417))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10419))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10417), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10419)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10417)) )).
% 12.17/12.40 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10417))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10419))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10417), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10419)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10417), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10419)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10420, _u10421, _u10422) | ~c_Equiv__Relations_Oequiv(_u10423, _u10424, _u10425) | ~c_Equiv__Relations_Ocongruent2(_u10420, _u10423, tc_fun(_u10426, tc_HOL_Obool), _u10422, _u10425, _u10427) | ~hBOOL(hAPP(hAPP(c_member(_u10423), _u10428), _u10424)) | c_Equiv__Relations_Ocongruent(_u10420, tc_fun(_u10426, tc_HOL_Obool), _u10422, hAPP(hAPP(c_COMBB(tc_fun(_u10423, tc_fun(_u10426, tc_HOL_Obool)), tc_fun(_u10426, tc_HOL_Obool), _u10420), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10423, tc_fun(_u10426, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10423, _u10423, _u10425), hAPP(hAPP(c_Set_Oinsert(_u10423), _u10428), c_Orderings_Obot__class_Obot(tc_fun(_u10423, tc_HOL_Obool)))))), _u10427)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10431))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10431)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10433)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10432))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10432)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10434)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10432)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10434)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10437))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10437)), _u10439) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10439)) )).
% 12.17/12.40 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10438))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10438)), _u10440) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10438)), _u10440))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10443))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10443)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10445)) = 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), _u10445))) )).
% 12.17/12.40 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), _u10444))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10444)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10446)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10444)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10446)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10449))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10449)), _u10451)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10451)) )).
% 12.17/12.40 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), _u10450))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10450)), _u10452)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10450))), _u10452)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10455), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10457)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10455)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10457)) )).
% 12.17/12.40 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10456), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10458)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10456)) = 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), _u10458), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10456)))), 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10459)), hAPP(c_Nat_OSuc, _u10460)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10459))), 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)), _u10460))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10461)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10462)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10462))), 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), _u10461)), c_Int_Onat))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10463), c_Int_OPls) = _u10463) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10464), c_Int_OPls) = _u10464) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u10465) = _u10465) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u10466) = c_Int_OPls) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u10467)) = _u10467) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u10468) | ( c_Groups_Ozero__class_Ozero(_u10468) = hAPP(c_Int_Onumber__class_Onumber__of(_u10468), c_Int_OPls)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u10469) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10469), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u10469)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u10470) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10470), hAPP(c_Int_Onumber__class_Onumber__of(_u10470), c_Int_OPls)), _u10471) = _u10471) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u10472) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10472), _u10473), hAPP(c_Int_Onumber__class_Onumber__of(_u10472), c_Int_OPls)) = _u10473) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.40 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10474)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10475)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10474)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10475), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10474)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 12.17/12.40 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10477), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10477)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10478), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10478)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10478))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10480), 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), _u10480)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10481), 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), _u10481)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10481))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10484), _u10486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10484)), _u10486)) )).
% 12.17/12.40 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10485)), _u10487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10485), _u10487)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u10488) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10488), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10490), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10490)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10491), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10491)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10491))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10492) | ~class_Int_Onumber__ring(_u10492) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10492), _u10493), hAPP(c_Int_Onumber__class_Onumber__of(_u10492), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u10492)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10495) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10495), c_Int_OPls)) )).
% 12.17/12.40 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10496), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10496) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10498), c_Int_OPls)) )).
% 12.17/12.40 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10499), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10499)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 12.17/12.40 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10502)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10504))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10502), _u10504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10504)) )).
% 12.17/12.40 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), _u10502)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10504))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10502), _u10504)) )).
% 12.17/12.40 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), _u10503)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10505))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10503), _u10505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10505)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10508)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10508), _u10510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10508), c_Int_OPls)) )).
% 12.17/12.40 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), _u10509)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10511))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10509), _u10511)) )).
% 12.17/12.40 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), _u10509)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10511))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10509), c_Int_OPls)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u10512) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10512), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10513) | ~class_Rings_Olinordered__idom(_u10513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10513), c_Groups_Ozero__class_Ozero(_u10513)), hAPP(c_Int_Onumber__class_Onumber__of(_u10513), _u10514))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10514)) )).
% 12.17/12.40 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10513) | ~class_Rings_Olinordered__idom(_u10513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10513), c_Groups_Ozero__class_Ozero(_u10513)), hAPP(c_Int_Onumber__class_Onumber__of(_u10513), _u10514))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10515) | ~class_Rings_Olinordered__idom(_u10515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10515), hAPP(c_Int_Onumber__class_Onumber__of(_u10515), _u10516)), c_Groups_Ozero__class_Ozero(_u10515))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10516), c_Int_OPls)) )).
% 12.17/12.40 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10515) | ~class_Rings_Olinordered__idom(_u10515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10516), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10515), hAPP(c_Int_Onumber__class_Onumber__of(_u10515), _u10516)), c_Groups_Ozero__class_Ozero(_u10515))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10517) | ~class_Rings_Olinordered__idom(_u10517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10517), hAPP(c_Int_Onumber__class_Onumber__of(_u10517), _u10518)), c_Groups_Ozero__class_Ozero(_u10517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10518), c_Int_OPls)) )).
% 12.17/12.40 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10517) | ~class_Rings_Olinordered__idom(_u10517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10518), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10517), hAPP(c_Int_Onumber__class_Onumber__of(_u10517), _u10518)), c_Groups_Ozero__class_Ozero(_u10517))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10519) | ~class_Rings_Olinordered__idom(_u10519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10519), c_Groups_Ozero__class_Ozero(_u10519)), hAPP(c_Int_Onumber__class_Onumber__of(_u10519), _u10520))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10520)) )).
% 12.17/12.40 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10519) | ~class_Rings_Olinordered__idom(_u10519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10519), c_Groups_Ozero__class_Ozero(_u10519)), hAPP(c_Int_Onumber__class_Onumber__of(_u10519), _u10520))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10522)) )).
% 12.17/12.40 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10523)) | 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), _u10523))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10526), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10526)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10528)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10528)) )).
% 12.17/12.40 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10527), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10529), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10527)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10529)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10527)) )).
% 12.17/12.40 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10527), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10529), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10527)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10529)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10527), _u10529))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u10530) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10530), c_Int_Osucc(_u10531)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10530), c_Groups_Oone__class_Oone(_u10530)), hAPP(c_Int_Onumber__class_Onumber__of(_u10530), _u10531))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u10532) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10532), c_Int_Opred(_u10533)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10532), hAPP(c_Groups_Ouminus__class_Ouminus(_u10532), c_Groups_Oone__class_Oone(_u10532))), hAPP(c_Int_Onumber__class_Onumber__of(_u10532), _u10533))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10536), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10536)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10538)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10537), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10537)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10539)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10537), _u10539))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10543), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10543)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10545)), _u10547)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10544), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10544)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10546)), _u10548)) = 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), _u10544), _u10546))), _u10548)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10550)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10550) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10551) != 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(_u10551)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10554) != hAPP(c_Nat_OSuc, _u10556)) | 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(_u10554))), 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)), _u10556))))) )).
% 12.17/12.40 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(_u10555))), 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)), _u10557))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10555) = hAPP(c_Nat_OSuc, _u10557)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u10560) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10562)) | 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(_u10562))), 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)), _u10560))))) )).
% 12.17/12.40 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(_u10563))), 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)), _u10561))))) | ( hAPP(c_Nat_OSuc, _u10561) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10563)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u10564, _u10565, _u10566, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10567)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10564), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10567))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10564, _u10564), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10564, tc_fun(_u10564, _u10564)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10564, tc_fun(_u10564, _u10564)), tc_Int_Oint), c_If(_u10564)), c_Nat__Numeral_Oneg)), _u10565)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10564, tc_Int_Oint), _u10566), c_Int_Onat)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10570)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10572))) | 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(_u10572))), 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), _u10570)), c_Int_Onat))))) )).
% 12.17/12.40 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(_u10573))), 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), _u10571)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10571)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10573))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10576)), hAPP(c_Nat_OSuc, _u10578))) | 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(_u10576))), 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)), _u10578)))) )).
% 12.17/12.40 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(_u10577))), 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)), _u10579)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10577)), hAPP(c_Nat_OSuc, _u10579))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10582)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10584))) | 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(_u10584))), 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), _u10582)), c_Int_Onat))))) )).
% 12.17/12.40 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(_u10585))), 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), _u10583)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10583)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10585))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10588)), hAPP(c_Nat_OSuc, _u10590))) | 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(_u10588))), 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)), _u10590)))) )).
% 12.17/12.40 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(_u10589))), 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)), _u10591)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10589)), hAPP(c_Nat_OSuc, _u10591))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10593))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10593)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10594))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10594)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10594))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10595)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10596)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10596))), 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, _u10595))), 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), _u10595)), c_Int_Onat))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10597)), hAPP(c_Nat_OSuc, _u10598)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10597))), 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, _u10598))), 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)), _u10598))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u10599, _u10600, _u10601, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10602)), _u10603)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10599), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10602))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10599, _u10599), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10599, tc_fun(_u10599, _u10599)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10599, tc_fun(_u10599, _u10599)), tc_Int_Oint), c_If(_u10599)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u10599, _u10600, _u10601, _u10603))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10599, tc_Int_Oint), _u10601), 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)), _u10603))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10607)), _u10608)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10604), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10607))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10604, _u10604), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10604, tc_fun(_u10604, _u10604)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10604, tc_fun(_u10604, _u10604)), tc_Int_Oint), c_If(_u10604)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606), _u10608))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10604, _u10604), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10604, _u10604), tc_Int_Oint), _u10606), 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)), _u10608))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10604, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606)), 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)), _u10608)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10609, _u10610, _u10611), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10612)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10609), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10612))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10609, _u10609), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10609, tc_fun(_u10609, _u10609)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10609, tc_fun(_u10609, _u10609)), tc_Int_Oint), c_If(_u10609)), c_Nat__Numeral_Oneg)), _u10610)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10609, _u10609), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10609, _u10609), tc_Int_Oint), _u10611), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10609, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10609, _u10610, _u10611)), c_Int_Onat))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10615, _u10616, _u10617) | ~c_Equiv__Relations_Oequiv(_u10618, _u10619, _u10620) | ~c_Equiv__Relations_Ocongruent2(_u10615, _u10618, tc_fun(_u10621, tc_HOL_Obool), _u10617, _u10620, _u10622) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10615, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10615), _u10616), _u10617))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10618, tc_HOL_Obool)), _u10624), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10618), _u10619), _u10620))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10621, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10615, tc_fun(_u10621, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_COMBB(tc_fun(_u10618, tc_fun(_u10621, tc_HOL_Obool)), tc_fun(_u10621, tc_HOL_Obool), _u10615), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10618, tc_fun(_u10621, tc_HOL_Obool)), _u10624)), _u10622))), _u10625)) | hBOOL(hAPP(hAPP(c_member(_u10615), skolem267(_u10625, _u10624, _u10623, _u10622, _u10621, _u10620, _u10619, _u10618, _u10617, _u10616, _u10615)), _u10616)) )).
% 12.17/12.40 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10615, _u10616, _u10617) | ~c_Equiv__Relations_Oequiv(_u10618, _u10619, _u10620) | ~c_Equiv__Relations_Ocongruent2(_u10615, _u10618, tc_fun(_u10621, tc_HOL_Obool), _u10617, _u10620, _u10622) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10615, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10615), _u10616), _u10617))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10618, tc_HOL_Obool)), _u10624), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10618), _u10619), _u10620))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10621, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10615, tc_fun(_u10621, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_COMBB(tc_fun(_u10618, tc_fun(_u10621, tc_HOL_Obool)), tc_fun(_u10621, tc_HOL_Obool), _u10615), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10618, tc_fun(_u10621, tc_HOL_Obool)), _u10624)), _u10622))), _u10625)) | hBOOL(hAPP(hAPP(c_member(_u10618), skolem268(_u10625, _u10624, _u10623, _u10622, _u10621, _u10620, _u10619, _u10618, _u10617, _u10616, _u10615)), _u10619)) )).
% 12.17/12.40 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u10615, _u10616, _u10617) | ~c_Equiv__Relations_Oequiv(_u10618, _u10619, _u10620) | ~c_Equiv__Relations_Ocongruent2(_u10615, _u10618, tc_fun(_u10621, tc_HOL_Obool), _u10617, _u10620, _u10622) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10615, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10615), _u10616), _u10617))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10618, tc_HOL_Obool)), _u10624), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10618), _u10619), _u10620))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10621, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10615, tc_fun(_u10621, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_COMBB(tc_fun(_u10618, tc_fun(_u10621, tc_HOL_Obool)), tc_fun(_u10621, tc_HOL_Obool), _u10615), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10618, tc_fun(_u10621, tc_HOL_Obool)), _u10624)), _u10622))), _u10625)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10621, tc_HOL_Obool)), hAPP(hAPP(_u10622, skolem267(_u10625, _u10624, _u10623, _u10622, _u10621, _u10620, _u10619, _u10618, _u10617, _u10616, _u10615)), skolem268(_u10625, _u10624, _u10623, _u10622, _u10621, _u10620, _u10619, _u10618, _u10617, _u10616, _u10615))), _u10625)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10627, _u10628, _u10629) | ~c_Equiv__Relations_Ocongruent(_u10627, tc_fun(_u10630, tc_HOL_Obool), _u10629, _u10631) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10627, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10627), _u10628), _u10629))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10630, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10627, tc_fun(_u10630, tc_HOL_Obool)), _u10632), _u10631)), _u10633)) | hBOOL(hAPP(hAPP(c_member(_u10627), skolem269(_u10633, _u10632, _u10631, _u10630, _u10629, _u10628, _u10627)), _u10628)) )).
% 12.17/12.40 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10627, _u10628, _u10629) | ~c_Equiv__Relations_Ocongruent(_u10627, tc_fun(_u10630, tc_HOL_Obool), _u10629, _u10631) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10627, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10627), _u10628), _u10629))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10630, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10627, tc_fun(_u10630, tc_HOL_Obool)), _u10632), _u10631)), _u10633)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10630, tc_HOL_Obool)), hAPP(_u10631, skolem269(_u10633, _u10632, _u10631, _u10630, _u10629, _u10628, _u10627))), _u10633)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10634, _u10635, _u10636), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10635) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10637, _u10638, _u10639), hAPP(c_Nat_OSuc, _u10640)) = hAPP(hAPP(_u10639, _u10640), hAPP(c_Nat_Onat_Onat__rec(_u10637, _u10638, _u10639), _u10640))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10641) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10641), _u10642) != c_Groups_Ozero__class_Ozero(_u10641)) | c_Int_Oiszero(_u10641, hAPP(c_Int_Onumber__class_Onumber__of(_u10641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10642), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.17/12.40 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10641) | ~c_Int_Oiszero(_u10641, hAPP(c_Int_Onumber__class_Onumber__of(_u10641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10642), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10641), _u10642) = c_Groups_Ozero__class_Ozero(_u10641)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10643) | ( c_Groups_Ozero__class_Ozero(_u10643) != hAPP(c_Int_Onumber__class_Onumber__of(_u10643), _u10644)) | c_Int_Oiszero(_u10643, hAPP(c_Int_Onumber__class_Onumber__of(_u10643), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10644)))) )).
% 12.17/12.40 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10643) | ~c_Int_Oiszero(_u10643, hAPP(c_Int_Onumber__class_Onumber__of(_u10643), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10644)))) | ( c_Groups_Ozero__class_Ozero(_u10643) = hAPP(c_Int_Onumber__class_Onumber__of(_u10643), _u10644)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10645) | ~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), _u10646))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10645), hAPP(c_Int_Onumber__class_Onumber__of(_u10645), _u10647)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10646))) = hAPP(hAPP(c_HOL_OLet(_u10645, _u10645), hAPP(hAPP(c_Power_Opower__class_Opower(_u10645), hAPP(c_Int_Onumber__class_Onumber__of(_u10645), _u10647)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10646))), hAPP(hAPP(c_COMBS(_u10645, _u10645, _u10645), hAPP(hAPP(c_COMBB(_u10645, tc_fun(_u10645, _u10645), _u10645), c_Groups_Otimes__class_Otimes(_u10645)), hAPP(c_Groups_Otimes__class_Otimes(_u10645), hAPP(c_Int_Onumber__class_Onumber__of(_u10645), _u10647)))), c_COMBI(_u10645)))) )).
% 12.17/12.40 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10645) | 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), _u10646))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10645), hAPP(c_Int_Onumber__class_Onumber__of(_u10645), _u10647)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10646))) = c_Groups_Oone__class_Oone(_u10645)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10650))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10650))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10650))), 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), _u10652))), c_COMBI(tc_Int_Oint)))) )).
% 12.17/12.40 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), _u10651))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10653), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10651))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u10654) | ~class_Int_Oring__char__0(_u10654) | ~c_Int_Oiszero(_u10654, hAPP(c_Int_Onumber__class_Onumber__of(_u10654), c_Int_OBit1(_u10655))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10658)), c_Int_OBit1(_u10660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10658), _u10660)) )).
% 12.17/12.40 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10659), _u10661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10659)), c_Int_OBit1(_u10661))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10664)), c_Int_OBit1(_u10666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10664), _u10666)) )).
% 12.17/12.40 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10665), _u10667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10665)), c_Int_OBit1(_u10667))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u10670) != c_Int_OBit1(_u10672)) | ( _u10670 = _u10672) )).
% 12.17/12.40 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u10671 != _u10673) | ( c_Int_OBit1(_u10671) = c_Int_OBit1(_u10673)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10676)), c_Int_OBit1(_u10678))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10676), _u10678)) )).
% 12.17/12.40 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10677), _u10679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10677)), c_Int_OBit1(_u10679))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10682)), c_Int_OBit1(_u10684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10682), _u10684)) )).
% 12.17/12.40 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10683), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10683)), c_Int_OBit1(_u10685))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u10686) != c_Int_OPls) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u10687)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u10688) | ~c_Int_Oiszero(_u10688, hAPP(c_Int_Onumber__class_Onumber__of(_u10688), c_Int_OBit1(c_Int_OPls))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u10689) | c_Int_Oiszero(_u10689, c_Groups_Ozero__class_Ozero(_u10689)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u10690) | ~c_Int_Oiszero(_u10690, _u10691) | ( _u10691 = c_Groups_Ozero__class_Ozero(_u10690)) )).
% 12.17/12.40 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u10690) | ( _u10691 != c_Groups_Ozero__class_Ozero(_u10690)) | c_Int_Oiszero(_u10690, _u10691) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u10692) | ~c_Int_Oiszero(_u10692, c_Groups_Oone__class_Oone(_u10692)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10694)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10694), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10695), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10695)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10697)) )).
% 12.17/12.40 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10698))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10700)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10700), c_Int_OPls)) )).
% 12.17/12.40 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10701), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10701)), c_Int_OPls)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u10702) = 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)), _u10702)), _u10702)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10704)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10704))) )).
% 12.17/12.40 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10705))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10705)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u10706)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10706)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u10707) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10707), c_Int_OBit1(_u10708)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10707), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10707), c_Groups_Oone__class_Oone(_u10707)), hAPP(c_Int_Onumber__class_Onumber__of(_u10707), _u10708))), hAPP(c_Int_Onumber__class_Onumber__of(_u10707), _u10708))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u10709) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10709), hAPP(c_Int_Onumber__class_Onumber__of(_u10709), c_Int_OBit1(c_Int_OPls))), _u10710) = _u10710) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u10711) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10711), _u10712), hAPP(c_Int_Onumber__class_Onumber__of(_u10711), c_Int_OBit1(c_Int_OPls))) = _u10712) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u10713) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10713), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u10713)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u10714) | ( c_Groups_Oone__class_Oone(_u10714) = hAPP(c_Int_Onumber__class_Onumber__of(_u10714), c_Int_OBit1(c_Int_OPls))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10716)) )).
% 12.17/12.40 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10717))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10719)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10719), c_Int_OPls)) )).
% 12.17/12.40 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10720), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10720)), c_Int_OPls)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u10721) | ~class_Int_Onumber__ring(_u10721) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10721), _u10722), hAPP(c_Int_Onumber__class_Onumber__of(_u10721), c_Int_OBit1(c_Int_OPls))) = _u10722) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u10723) | ~class_Int_Onumber__ring(_u10723) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10723), _u10724), hAPP(c_Int_Onumber__class_Onumber__of(_u10723), c_Int_OBit1(c_Int_OPls))) = _u10724) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10725) | ( c_Groups_Oone__class_Oone(_u10725) != hAPP(c_Int_Onumber__class_Onumber__of(_u10725), _u10726)) | c_Int_Oiszero(_u10725, hAPP(c_Int_Onumber__class_Onumber__of(_u10725), 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), _u10726)))) )).
% 12.17/12.40 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10725) | ~c_Int_Oiszero(_u10725, hAPP(c_Int_Onumber__class_Onumber__of(_u10725), 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), _u10726)))) | ( c_Groups_Oone__class_Oone(_u10725) = hAPP(c_Int_Onumber__class_Onumber__of(_u10725), _u10726)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10727) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10727), _u10728) != c_Groups_Oone__class_Oone(_u10727)) | c_Int_Oiszero(_u10727, hAPP(c_Int_Onumber__class_Onumber__of(_u10727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10728), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.17/12.40 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10727) | ~c_Int_Oiszero(_u10727, hAPP(c_Int_Onumber__class_Onumber__of(_u10727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10728), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10727), _u10728) = c_Groups_Oone__class_Oone(_u10727)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 12.17/12.40 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 12.17/12.40 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 12.17/12.40 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)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u10729) | c_Int_Oiszero(_u10729, hAPP(c_Int_Onumber__class_Onumber__of(_u10729), c_Int_OPls)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 12.17/12.40 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))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 12.17/12.40 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u10730) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10730), _u10731), 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(_u10730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10730), _u10731), _u10731)), _u10731)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 12.17/12.40 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))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10732))) = 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)))), _u10732)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 12.17/12.40 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))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 12.17/12.40 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))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10733) | ~class_Rings_Olinordered__idom(_u10733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10733), c_Groups_Oone__class_Oone(_u10733)), hAPP(c_Int_Onumber__class_Onumber__of(_u10733), _u10734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10734)) )).
% 12.17/12.40 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10733) | ~class_Rings_Olinordered__idom(_u10733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10734)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10733), c_Groups_Oone__class_Oone(_u10733)), hAPP(c_Int_Onumber__class_Onumber__of(_u10733), _u10734))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10735) | ~class_Rings_Olinordered__idom(_u10735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10735), hAPP(c_Int_Onumber__class_Onumber__of(_u10735), _u10736)), c_Groups_Oone__class_Oone(_u10735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10736), c_Int_OBit1(c_Int_OPls))) )).
% 12.17/12.40 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10735) | ~class_Rings_Olinordered__idom(_u10735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10736), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10735), hAPP(c_Int_Onumber__class_Onumber__of(_u10735), _u10736)), c_Groups_Oone__class_Oone(_u10735))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10737) | ~class_Rings_Olinordered__idom(_u10737) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10737), hAPP(c_Int_Onumber__class_Onumber__of(_u10737), _u10738)), c_Groups_Oone__class_Oone(_u10737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10738), c_Int_OBit1(c_Int_OPls))) )).
% 12.17/12.40 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10737) | ~class_Rings_Olinordered__idom(_u10737) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10738), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10737), hAPP(c_Int_Onumber__class_Onumber__of(_u10737), _u10738)), c_Groups_Oone__class_Oone(_u10737))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10739) | ~class_Rings_Olinordered__idom(_u10739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10739), c_Groups_Oone__class_Oone(_u10739)), hAPP(c_Int_Onumber__class_Onumber__of(_u10739), _u10740))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10740)) )).
% 12.17/12.40 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10739) | ~class_Rings_Olinordered__idom(_u10739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10739), c_Groups_Oone__class_Oone(_u10739)), hAPP(c_Int_Onumber__class_Onumber__of(_u10739), _u10740))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10741) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10741), c_Groups_Oone__class_Oone(_u10741)), hAPP(c_Int_Onumber__class_Onumber__of(_u10741), _u10742)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10742))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10743) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10743), hAPP(c_Int_Onumber__class_Onumber__of(_u10743), _u10744)), c_Groups_Oone__class_Oone(_u10743)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10743), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10744), c_Int_OBit1(c_Int_OPls)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u10745)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10746)), _u10745) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10746), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10745), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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, _u10747))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10748)) = 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)))), _u10747), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10748))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 12.17/12.40 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, _u10749))), _u10750) = 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)))), _u10749), _u10750)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10751, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10752)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10751, 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)))), _u10752))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 12.17/12.40 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, _u10753)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10754)) = 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)))), _u10753)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10754))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 12.17/12.40 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, _u10755)))), _u10756) = 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)))), _u10755)), _u10756)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10757), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10758)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10757), 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)))), _u10758))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10759) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10759), _u10760) != hAPP(c_Int_Onumber__class_Onumber__of(_u10759), _u10761)) | c_Int_Oiszero(_u10759, hAPP(c_Int_Onumber__class_Onumber__of(_u10759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10760), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10761)))) )).
% 12.17/12.40 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u10759) | ~c_Int_Oiszero(_u10759, hAPP(c_Int_Onumber__class_Onumber__of(_u10759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10760), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10761)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10759), _u10760) = hAPP(c_Int_Onumber__class_Onumber__of(_u10759), _u10761)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10762) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10762), c_Groups_Oone__class_Oone(_u10762)), hAPP(c_Int_Onumber__class_Onumber__of(_u10762), _u10763)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10762), 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), _u10763)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10764) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10764), hAPP(c_Int_Onumber__class_Onumber__of(_u10764), _u10765)), c_Groups_Oone__class_Oone(_u10764)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10764), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10765), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10767))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10767)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.40 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10768))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10768)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10768)), 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))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u10769) | ~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), _u10770))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10769), _u10771), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10770))) = hAPP(hAPP(c_HOL_OLet(_u10769, _u10769), hAPP(hAPP(c_Power_Opower__class_Opower(_u10769), _u10771), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10770))), hAPP(hAPP(c_COMBS(_u10769, _u10769, _u10769), hAPP(hAPP(c_COMBB(_u10769, tc_fun(_u10769, _u10769), _u10769), c_Groups_Otimes__class_Otimes(_u10769)), hAPP(c_Groups_Otimes__class_Otimes(_u10769), _u10771))), c_COMBI(_u10769)))) )).
% 12.17/12.40 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u10769) | 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), _u10770))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10769), _u10771), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10770))) = c_Groups_Oone__class_Oone(_u10769)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10774))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10776)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10774))) = 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), _u10776), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10774)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40 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), _u10775))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10777)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10775))) = 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), _u10777)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10778), 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)))), _u10779)), 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)))), _u10778)) = 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), _u10779), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10778))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10780)), 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))), _u10781))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10782))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10782)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10780), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10780), 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), _u10782), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u10781))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u10783)) | ( 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)))), _u10784))), 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)))), _u10783)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10784), _u10783)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u10785) != c_Int_OBit1(_u10786)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u10787) != c_Int_OBit0(_u10788)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u10790)) | ( c_Int_OPls = _u10790) )).
% 12.17/12.40 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u10791) | ( c_Int_OPls = c_Int_OBit0(_u10791)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u10793) != c_Int_OPls) | ( _u10793 = c_Int_OPls) )).
% 12.17/12.40 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u10794 != c_Int_OPls) | ( c_Int_OBit0(_u10794) = c_Int_OPls) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u10795)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10795))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10798)), c_Int_OBit0(_u10800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10798), _u10800)) )).
% 12.17/12.40 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10799), _u10801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10799)), c_Int_OBit0(_u10801))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10804)), c_Int_OBit0(_u10806))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10804), _u10806)) )).
% 12.17/12.40 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10805), _u10807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10805)), c_Int_OBit0(_u10807))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u10808) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10808), _u10808)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u10809)), c_Int_OBit0(_u10810)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10809), _u10810))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u10813) != c_Int_OBit0(_u10815)) | ( _u10813 = _u10815) )).
% 12.17/12.40 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u10814 != _u10816) | ( c_Int_OBit0(_u10814) = c_Int_OBit0(_u10816)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u10817)), _u10818) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10817), _u10818))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u10819)), c_Int_OBit0(_u10820)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10819), _u10820))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10823)), c_Int_OBit0(_u10825))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10823), _u10825)) )).
% 12.17/12.40 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10824), _u10826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10824)), c_Int_OBit0(_u10826))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10829)), c_Int_OBit0(_u10831))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10829), _u10831)) )).
% 12.17/12.40 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10830), _u10832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10830)), c_Int_OBit0(_u10832))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10834)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10834), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10835), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10835)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10837))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10837)) )).
% 12.17/12.40 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10838))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10840)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10840), c_Int_OPls)) )).
% 12.17/12.40 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10841), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10841)), c_Int_OPls)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10844)), c_Int_OBit1(_u10846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10844), _u10846)) )).
% 12.17/12.40 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10845), _u10847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10845)), c_Int_OBit1(_u10847))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10850)), c_Int_OBit1(_u10852))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10850), _u10852)) )).
% 12.17/12.40 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10851), _u10853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10851)), c_Int_OBit1(_u10853))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10855)) )).
% 12.17/12.40 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10856))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10858)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10858), c_Int_OPls)) )).
% 12.17/12.40 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10859), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10859)), c_Int_OPls)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10862)), c_Int_OBit0(_u10864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10862), _u10864)) )).
% 12.17/12.40 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10863), _u10865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10863)), c_Int_OBit0(_u10865))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10868)), c_Int_OBit0(_u10870))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10868), _u10870)) )).
% 12.17/12.40 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10869), _u10871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10869)), c_Int_OBit0(_u10871))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u10872)), c_Int_OBit1(_u10873)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10872), _u10873))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u10874)), c_Int_OBit0(_u10875)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10874), _u10875))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10876)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u10876))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u10877)), c_Int_OBit1(_u10878)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10877), _u10878))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u10879)), c_Int_OBit0(_u10880)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10879), _u10880))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10881))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10882))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10881)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10882))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10884)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10884))) )).
% 12.17/12.40 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10885))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10885)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u10886)) = c_Int_OBit0(_u10886)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u10887)) = c_Int_OBit1(c_Int_Opred(_u10887))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u10888) | ~class_Int_Oring__char__0(_u10888) | ~c_Int_Oiszero(_u10888, hAPP(c_Int_Onumber__class_Onumber__of(_u10888), c_Int_OBit0(_u10889))) | c_Int_Oiszero(_u10888, hAPP(c_Int_Onumber__class_Onumber__of(_u10888), _u10889)) )).
% 12.17/12.40 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u10888) | ~class_Int_Oring__char__0(_u10888) | ~c_Int_Oiszero(_u10888, hAPP(c_Int_Onumber__class_Onumber__of(_u10888), _u10889)) | c_Int_Oiszero(_u10888, hAPP(c_Int_Onumber__class_Onumber__of(_u10888), c_Int_OBit0(_u10889))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u10890)) = c_Int_OBit1(_u10890)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u10891)) = c_Int_OBit0(c_Int_Osucc(_u10891))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10892)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10892)), 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)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u10893) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10893), c_Int_OBit0(_u10894)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10893), c_Groups_Ozero__class_Ozero(_u10893)), hAPP(c_Int_Onumber__class_Onumber__of(_u10893), _u10894))), hAPP(c_Int_Onumber__class_Onumber__of(_u10893), _u10894))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10897)), c_Int_OBit0(_u10899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10897), _u10899)) )).
% 12.17/12.40 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10898), _u10900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10898)), c_Int_OBit0(_u10900))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10903)), c_Int_OBit0(_u10905))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10903), _u10905)) )).
% 12.17/12.40 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10904), _u10906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10904)), c_Int_OBit0(_u10906))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10909)), c_Int_OBit1(_u10911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10909), _u10911)) )).
% 12.17/12.40 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10910), _u10912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10910)), c_Int_OBit1(_u10912))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10915)), c_Int_OBit1(_u10917))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10915), _u10917)) )).
% 12.17/12.40 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10916), _u10918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10916)), c_Int_OBit1(_u10918))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 12.17/12.40 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)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u10919)), _u10920) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10919), _u10920))), _u10920)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u10921)), c_Int_OBit1(_u10922)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u10921)), _u10922))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u10923)), c_Int_OBit1(_u10924)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10923), c_Int_Osucc(_u10924)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u10925) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10925), _u10926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10927))) = hAPP(hAPP(c_HOL_OLet(_u10925, _u10925), hAPP(hAPP(c_Power_Opower__class_Opower(_u10925), _u10926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10927))), hAPP(hAPP(c_COMBS(_u10925, _u10925, _u10925), c_Groups_Otimes__class_Otimes(_u10925)), c_COMBI(_u10925)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10928), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10929))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10928), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10929))), 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)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u10930) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10930), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10930), c_Groups_Oone__class_Oone(_u10930)), c_Groups_Oone__class_Oone(_u10930))), hAPP(c_Int_Onumber__class_Onumber__of(_u10930), _u10931)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10930), c_Int_OBit0(_u10931))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10932))) | 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(_u10932)))) )).
% 12.17/12.40 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), _u10932))) | 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(_u10932)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 12.17/12.40 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)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10933) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10933), hAPP(c_Int_Onumber__class_Onumber__of(_u10933), _u10934)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10935))) = hAPP(hAPP(c_HOL_OLet(_u10933, _u10933), hAPP(hAPP(c_Power_Opower__class_Opower(_u10933), hAPP(c_Int_Onumber__class_Onumber__of(_u10933), _u10934)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10935))), hAPP(hAPP(c_COMBS(_u10933, _u10933, _u10933), c_Groups_Otimes__class_Otimes(_u10933)), c_COMBI(_u10933)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u10936) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10936), hAPP(c_Int_Onumber__class_Onumber__of(_u10936), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10937) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10936), _u10937), _u10937)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u10938) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10938), _u10939), hAPP(c_Int_Onumber__class_Onumber__of(_u10938), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10938), _u10939), _u10939)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u10940) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10940), c_Groups_Oone__class_Oone(_u10940)), c_Groups_Oone__class_Oone(_u10940)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10940), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10941) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10941), _u10942), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u10941)) | ( _u10942 = c_Groups_Ozero__class_Ozero(_u10941)) )).
% 12.17/12.40 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10941) | ( _u10942 != c_Groups_Ozero__class_Ozero(_u10941)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10941), _u10942), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u10941)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u10943) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10943), c_Groups_Ozero__class_Ozero(_u10943)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u10943)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 12.17/12.40 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)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 12.17/12.40 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)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10944) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10944), _u10945), _u10945) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10944), _u10945), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u10946) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10946), _u10947), 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(_u10946), _u10947), _u10947)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 12.17/12.40 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))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 12.17/12.40 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)))), _u10948) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10948))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10949), 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, _u10949))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u10950) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10950), c_Groups_Oone__class_Oone(_u10950)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10950)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u10951) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10951), hAPP(c_Groups_Ouminus__class_Ouminus(_u10951), _u10952)), 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(_u10951), _u10952), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 12.17/12.40 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)))), _u10953) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10953), _u10953)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10954), 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), _u10954), _u10954)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u10955) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10955), _u10956), 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)))), _u10957)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10955), hAPP(hAPP(c_Power_Opower__class_Opower(_u10955), _u10956), _u10957)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 12.17/12.40 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))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 12.17/12.40 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))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u10958) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10958), hAPP(hAPP(c_Power_Opower__class_Opower(_u10958), _u10959), 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(_u10958), _u10959), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u10960) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10960), hAPP(c_Groups_Oabs__class_Oabs(_u10960), _u10961)), 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(_u10960), _u10961), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 12.17/12.40 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)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10962)), 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, _u10962, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 12.17/12.40 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, _u10963))), 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), _u10963), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 12.17/12.40 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(_u10964)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10965))) = 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), _u10964), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10965)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 12.17/12.40 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), _u10966), _u10966)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u10966) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10967) | ~class_Int_Onumber__ring(_u10967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10967), c_Groups_Ozero__class_Ozero(_u10967)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10967), _u10968), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10967), c_Groups_Ozero__class_Ozero(_u10967)), _u10968)) )).
% 12.17/12.40 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10967) | ~class_Int_Onumber__ring(_u10967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10967), c_Groups_Ozero__class_Ozero(_u10967)), _u10968)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10967), c_Groups_Ozero__class_Ozero(_u10967)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10967), _u10968), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10969) | ~class_Int_Onumber__ring(_u10969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10969), c_Groups_Ozero__class_Ozero(_u10969)), _u10970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10969), c_Groups_Ozero__class_Ozero(_u10969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10969), _u10970), hAPP(c_Int_Onumber__class_Onumber__of(_u10969), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u10971) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10971), c_Groups_Ozero__class_Ozero(_u10971)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10971), _u10972), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u10973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10973), hAPP(hAPP(c_Power_Opower__class_Opower(_u10973), _u10974), 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(_u10973), _u10975), 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(_u10973), c_Groups_Ozero__class_Ozero(_u10973)), _u10975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10973), _u10974), _u10975)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u10976) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10976), _u10977), 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(_u10976), _u10978), 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(_u10976), c_Groups_Ozero__class_Ozero(_u10976)), _u10977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10976), c_Groups_Ozero__class_Ozero(_u10976)), _u10978)) | ( _u10977 = _u10978) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u10979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10979), c_Groups_Ozero__class_Ozero(_u10979)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10979), _u10980), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u10980 != c_Groups_Ozero__class_Ozero(_u10979)) )).
% 12.17/12.40 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u10979) | ( _u10980 = c_Groups_Ozero__class_Ozero(_u10979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10979), c_Groups_Ozero__class_Ozero(_u10979)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10979), _u10980), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u10981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10981), hAPP(hAPP(c_Power_Opower__class_Opower(_u10981), _u10982), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u10981))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u10983) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10983), hAPP(hAPP(c_Power_Opower__class_Opower(_u10983), _u10984), 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(_u10983), _u10985), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u10983)) | ( _u10984 = c_Groups_Ozero__class_Ozero(_u10983)) )).
% 12.17/12.40 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u10983) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10983), hAPP(hAPP(c_Power_Opower__class_Opower(_u10983), _u10984), 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(_u10983), _u10985), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u10983)) | ( _u10985 = c_Groups_Ozero__class_Ozero(_u10983)) )).
% 12.17/12.40 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u10983) | ( _u10984 != c_Groups_Ozero__class_Ozero(_u10983)) | ( _u10985 != c_Groups_Ozero__class_Ozero(_u10983)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10983), hAPP(hAPP(c_Power_Opower__class_Opower(_u10983), _u10984), 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(_u10983), _u10985), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u10983)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u10986) | ~class_Int_Onumber(_u10986) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10986), hAPP(c_Int_Onumber__class_Onumber__of(_u10986), _u10987)), 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(_u10986), hAPP(c_Int_Onumber__class_Onumber__of(_u10986), _u10987)), hAPP(c_Int_Onumber__class_Onumber__of(_u10986), _u10987))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10988), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u10988 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10988 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 12.17/12.40 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)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10989) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10989), _u10990), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u10989)) | ( _u10990 = c_Groups_Oone__class_Oone(_u10989)) | ( _u10990 = hAPP(c_Groups_Ouminus__class_Ouminus(_u10989), c_Groups_Oone__class_Oone(_u10989))) )).
% 12.17/12.40 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10989) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10989), _u10990), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10989)) | ( _u10990 != c_Groups_Oone__class_Oone(_u10989)) )).
% 12.17/12.40 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10989) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10989), _u10990), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10989)) | ( _u10990 != hAPP(c_Groups_Ouminus__class_Ouminus(_u10989), c_Groups_Oone__class_Oone(_u10989))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10991) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10991), _u10992), 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)))), _u10993)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10991), hAPP(hAPP(c_Power_Opower__class_Opower(_u10991), _u10992), _u10993)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10991), _u10992), _u10993))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u10994) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10994), hAPP(c_Groups_Ouminus__class_Ouminus(_u10994), _u10995)), 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)))), _u10996)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10994), _u10995), 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)))), _u10996))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u10997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10997), hAPP(hAPP(c_Power_Opower__class_Opower(_u10997), _u10998), 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(_u10997), _u10999), 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(_u10997), c_Groups_Ozero__class_Ozero(_u10997)), _u10999)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10997), _u10998), _u10999)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u11000) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11000), c_Groups_Ozero__class_Ozero(_u11000)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11000), hAPP(hAPP(c_Power_Opower__class_Opower(_u11000), _u11001), 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(_u11000), _u11002), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11003), hAPP(hAPP(c_Power_Opower__class_Opower(_u11003), _u11004), 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(_u11003), _u11005), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11003))) | ( _u11004 = c_Groups_Ozero__class_Ozero(_u11003)) )).
% 12.17/12.40 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11003), hAPP(hAPP(c_Power_Opower__class_Opower(_u11003), _u11004), 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(_u11003), _u11005), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11003))) | ( _u11005 = c_Groups_Ozero__class_Ozero(_u11003)) )).
% 12.17/12.40 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u11003) | ( _u11004 != c_Groups_Ozero__class_Ozero(_u11003)) | ( _u11005 != c_Groups_Ozero__class_Ozero(_u11003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11003), hAPP(hAPP(c_Power_Opower__class_Opower(_u11003), _u11004), 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(_u11003), _u11005), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11003))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11006), c_Groups_Ozero__class_Ozero(_u11006)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11006), hAPP(hAPP(c_Power_Opower__class_Opower(_u11006), _u11007), 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(_u11006), _u11008), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11007 != c_Groups_Ozero__class_Ozero(_u11006)) | ( _u11008 != c_Groups_Ozero__class_Ozero(_u11006)) )).
% 12.17/12.40 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11006), c_Groups_Ozero__class_Ozero(_u11006)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11006), hAPP(hAPP(c_Power_Opower__class_Opower(_u11006), _u11007), 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(_u11006), _u11008), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11007 = c_Groups_Ozero__class_Ozero(_u11006)) )).
% 12.17/12.40 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u11006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11006), c_Groups_Ozero__class_Ozero(_u11006)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11006), hAPP(hAPP(c_Power_Opower__class_Opower(_u11006), _u11007), 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(_u11006), _u11008), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11008 = c_Groups_Ozero__class_Ozero(_u11006)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u11009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11009), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11009), hAPP(hAPP(c_Power_Opower__class_Opower(_u11009), _u11010), 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(_u11009), _u11011), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11009))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u11012) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11012), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11012), _u11013), _u11014)), 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(_u11012), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11012), hAPP(hAPP(c_Power_Opower__class_Opower(_u11012), _u11013), 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(_u11012), _u11014), 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(_u11012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11012), hAPP(c_Int_Onumber__class_Onumber__of(_u11012), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11013)), _u11014))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u11015) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11015), c_Groups_Ozero__class_Ozero(_u11015)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11015), _u11016), 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)))), _u11017)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u11018) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11018), _u11019), 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)))), _u11020))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11018), _u11019), hAPP(hAPP(c_Power_Opower__class_Opower(_u11018), hAPP(hAPP(c_Power_Opower__class_Opower(_u11018), _u11019), _u11020)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11021) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11021), _u11022), 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)))), _u11023))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11021), _u11022), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11021), hAPP(hAPP(c_Power_Opower__class_Opower(_u11021), _u11022), _u11023)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11021), _u11022), _u11023)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u11024) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11024), hAPP(c_Groups_Ouminus__class_Ouminus(_u11024), c_Groups_Oone__class_Oone(_u11024))), 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)))), _u11025)) = c_Groups_Oone__class_Oone(_u11024)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 12.17/12.40 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), _u11028))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11030))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11028))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11030)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11028))) )).
% 12.17/12.40 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), _u11029))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11031))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11029))) = 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), _u11031)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11029))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 12.17/12.40 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, _u11033, 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, _u11033, 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)) )).
% 12.17/12.40 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11034, 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, _u11034, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u11035)) | 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), _u11035), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u11036) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11036), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11036), _u11037), _u11038)), 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(_u11036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11036), hAPP(hAPP(c_Power_Opower__class_Opower(_u11036), _u11037), 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(_u11036), _u11038), 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(_u11036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11036), hAPP(c_Int_Onumber__class_Onumber__of(_u11036), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11037)), _u11038))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u11039) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11039), c_Groups_Ozero__class_Ozero(_u11039)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11039), _u11040), 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)))), _u11041))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11039), c_Groups_Ozero__class_Ozero(_u11039)), _u11040)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u11042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11042), _u11043), c_Groups_Ozero__class_Ozero(_u11042))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11042), hAPP(hAPP(c_Power_Opower__class_Opower(_u11042), _u11043), 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)))), _u11044)))), c_Groups_Ozero__class_Ozero(_u11042))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u11045) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11045), hAPP(c_Groups_Ouminus__class_Ouminus(_u11045), c_Groups_Oone__class_Oone(_u11045))), 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)))), _u11046))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11045), c_Groups_Oone__class_Oone(_u11045))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u11047)) | 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), _u11047), 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)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u11048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11049)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11048), 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)))), _u11049))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11048), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11048), hAPP(c_Int_Onat, _u11049))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11048), hAPP(c_Int_Onat, _u11049)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 12.17/12.40 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)), _u11050)) | ( 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)))), _u11051)), 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)))), _u11050)) = 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, _u11051, _u11050)))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11052), 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)))), _u11053))), 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)))), _u11052)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11053), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11052)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_int__of__code-1, axiom, ( ( _u11055 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u11055) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.40 cnf(fact_int__of__code-2, axiom, ( ( _u11056 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11056, 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, _u11056) = 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), _u11056), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.17/12.40 cnf(fact_int__of__code-3, axiom, ( ( _u11056 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11056, 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, _u11056) = 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), _u11056), 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u11057) | ( _u11058 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11057), _u11058) = c_Groups_Ozero__class_Ozero(_u11057)) )).
% 12.17/12.40 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u11057) | ( _u11058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11057), _u11058) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11057), hAPP(c_Int_Oring__1__class_Oof__int(_u11057), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11058)))) )).
% 12.17/12.40 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u11057) | ( _u11058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11057), _u11058) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u11057), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u11057, _u11057)), tc_fun(tc_Int_Oint, _u11057)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11057, _u11057), _u11057), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u11057, _u11057)), tc_fun(tc_Int_Oint, _u11057)), tc_Int_Oint), c_COMBB(tc_fun(_u11057, _u11057), _u11057, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u11057, tc_fun(tc_fun(_u11057, _u11057), _u11057), tc_Int_Oint), c_HOL_OLet(_u11057, _u11057)), c_Int_Oring__1__class_Oof__int(_u11057)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11057, _u11057), tc_fun(_u11057, _u11057)), hAPP(hAPP(c_COMBB(tc_fun(_u11057, tc_fun(_u11057, _u11057)), tc_fun(tc_fun(_u11057, _u11057), tc_fun(_u11057, _u11057)), tc_Int_Oint), c_COMBS(_u11057, _u11057, _u11057)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11057, _u11057), tc_fun(_u11057, tc_fun(_u11057, _u11057))), hAPP(hAPP(c_COMBB(tc_fun(_u11057, tc_fun(_u11057, _u11057)), tc_fun(tc_fun(_u11057, _u11057), tc_fun(_u11057, tc_fun(_u11057, _u11057))), tc_Int_Oint), c_COMBB(_u11057, tc_fun(_u11057, _u11057), _u11057)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11057, tc_fun(_u11057, _u11057)), tc_Int_Oint), c_If(_u11057)), 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(_u11057, _u11057, _u11057), c_Groups_Oplus__class_Oplus(_u11057)), c_COMBI(_u11057))))), hAPP(hAPP(c_COMBC(_u11057, _u11057, _u11057), hAPP(hAPP(c_COMBB(_u11057, tc_fun(_u11057, _u11057), _u11057), c_Groups_Oplus__class_Oplus(_u11057)), hAPP(hAPP(c_COMBS(_u11057, _u11057, _u11057), c_Groups_Oplus__class_Oplus(_u11057)), c_COMBI(_u11057)))), c_Groups_Oone__class_Oone(_u11057))))), c_Divides_Odivmod__int(_u11058, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u11059) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11059), hAPP(c_Int_Onumber__class_Onumber__of(_u11059), 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)))), _u11060))) = hAPP(c_Int_Onumber__class_Onumber__of(_u11059), c_Int_OMin)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u11061) != c_Int_OMin) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u11062)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u11064) != c_Int_OMin) | ( _u11064 = c_Int_OMin) )).
% 12.17/12.40 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u11065 != c_Int_OMin) | ( c_Int_OBit1(_u11065) = c_Int_OMin) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u11067)) | ( c_Int_OMin = _u11067) )).
% 12.17/12.40 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u11068) | ( c_Int_OMin = c_Int_OBit1(_u11068)) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 12.17/12.40 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.40 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))) )).
% 12.17/12.40
% 12.17/12.40 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 12.17/12.40 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11070)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11070), c_Int_OMin)) )).
% 12.17/12.41 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11071), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11071)), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 12.17/12.41 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(_u11073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11073)) )).
% 12.17/12.41 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11074))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11076)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11076), c_Int_OMin)) )).
% 12.17/12.41 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11077), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11077)), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 12.17/12.41 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(_u11079))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11079)) )).
% 12.17/12.41 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11080))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11082)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11082), c_Int_OMin)) )).
% 12.17/12.41 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11083), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11083)), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 12.17/12.41 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(_u11085))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11085)) )).
% 12.17/12.41 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11086))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 12.17/12.41 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))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u11087) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11087)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 12.17/12.41 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))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11088), c_Int_OMin) = c_Int_Opred(_u11088)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u11089) = c_Int_Opred(_u11089)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u11090) | ~c_Int_Oiszero(_u11090, hAPP(c_Int_Onumber__class_Onumber__of(_u11090), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11091), c_Int_OMin) = c_Int_Osucc(_u11091)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u11092) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11092), _u11093), hAPP(c_Int_Onumber__class_Onumber__of(_u11092), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11092), _u11093)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u11094) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11094), hAPP(c_Int_Onumber__class_Onumber__of(_u11094), c_Int_OMin)), _u11095) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11094), _u11095)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u11096) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11096), c_Groups_Oone__class_Oone(_u11096)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11096), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u11097) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11097), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11097), c_Groups_Oone__class_Oone(_u11097))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u11098) | ~class_Rings_Olinordered__idom(_u11098) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11098), hAPP(c_Int_Onumber__class_Onumber__of(_u11098), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u11098)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11099) | ~class_Int_Onumber__ring(_u11099) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11099), _u11100), hAPP(c_Int_Onumber__class_Onumber__of(_u11099), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11099), _u11100)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 12.17/12.41 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(_u11102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11102)) )).
% 12.17/12.41 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11103)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11103))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11105)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11105), c_Int_OMin)) )).
% 12.17/12.41 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11106), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11106)), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11107, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.41 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(_u11108)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11108))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11111), _u11113) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11111 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11111 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.17/12.41 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11111), _u11113) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11111 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11113 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.17/12.41 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11111), _u11113) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11113 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11111 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.17/12.41 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11111), _u11113) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11113 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11113 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.17/12.41 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11112), _u11114) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11112 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11114 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.41 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11112), _u11114) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11112 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u11114 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11115), _u11116) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11115 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11115 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 12.17/12.41 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(_u11117)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11117))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 12.17/12.41 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(_u11118)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11118))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u11119) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11119), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11119), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11120), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11120)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11121) | ~class_Int_Onumber__ring(_u11121) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11121), hAPP(c_Int_Onumber__class_Onumber__of(_u11121), c_Int_OMin)), _u11122) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11121), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11121), c_Groups_Oone__class_Oone(_u11121)), _u11122))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u11123) | ~class_Rings_Olinordered__idom(_u11123) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11123), hAPP(hAPP(c_Power_Opower__class_Opower(_u11123), hAPP(c_Int_Onumber__class_Onumber__of(_u11123), c_Int_OMin)), _u11124)) = c_Groups_Oone__class_Oone(_u11123)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11125)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u11125) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11126), _u11127)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11126), _u11127) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11128)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11128) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11128), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 12.17/12.41 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))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u11129) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11129), hAPP(c_Int_Onumber__class_Onumber__of(_u11129), 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)))), _u11130)) = c_Groups_Oone__class_Oone(_u11129)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 12.17/12.41 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))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u11131) = 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), _u11131)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u11132) = 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), _u11132)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u11133, _u11134), tc_fun(tc_prod(_u11133, _u11134), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11133, _u11134), tc_HOL_Obool), tc_fun(tc_prod(_u11133, _u11134), tc_HOL_Obool), tc_fun(_u11133, _u11134)), c_Set_OCollect(tc_prod(_u11133, _u11134))), hAPP(hAPP(c_COMBB(tc_fun(_u11133, tc_fun(_u11134, tc_HOL_Obool)), tc_fun(tc_prod(_u11133, _u11134), tc_HOL_Obool), tc_fun(_u11133, _u11134)), c_Product__Type_Oprod_Oprod__case(_u11133, _u11134, tc_HOL_Obool)), hAPP(c_COMBB(_u11134, tc_fun(_u11134, tc_HOL_Obool), _u11133), hAPP(c_COMBC(_u11134, _u11134, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11133, _u11134), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u11135, _u11136, _u11137, _u11138) = hAPP(c_Set_OCollect(tc_prod(_u11135, _u11136)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11135, _u11136, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11135, tc_fun(_u11136, tc_HOL_Obool), tc_fun(_u11136, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11136, tc_HOL_Obool), tc_fun(_u11136, tc_HOL_Obool)), _u11135), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11136)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11135), c_fconj), hAPP(hAPP(c_COMBC(_u11135, tc_fun(_u11135, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11135)), _u11137)))), hAPP(hAPP(c_COMBC(_u11136, tc_fun(_u11136, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11136)), _u11138))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u11141 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11141, _u11143) = _u11143) )).
% 12.17/12.41 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u11142 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11142, _u11144) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u11142), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u11144))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u11145, _u11146) = 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, _u11145))), 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), _u11146)))))), 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)), _u11146))), 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)), _u11146))))), 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)), _u11146)))), 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), _u11146))), 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)))))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__correct-1, axiom, ( ( _u11147 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11148, _u11147), c_Divides_Odivmod__int(_u11148, _u11147))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11149, _u11150), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11151), _u11152))) | ( _u11150 = 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)), _u11153)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11149, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11150), _u11153)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11151), _u11153)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11150), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11151, _u11153))), _u11152)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u11154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11155)) | hBOOL(hAPP(hAPP(c_member(_u11154), hAPP(c_Int_Onumber__class_Onumber__of(_u11154), _u11155)), c_Nat_Osemiring__1__class_ONats(_u11154))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11162, tc_fun(_u11164, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11162, tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_fun(_u11164, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11164, tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_fun(_u11164, tc_HOL_Obool)), _u11162), c_COMBC(_u11164, tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11164, tc_prod(_u11162, _u11164)), tc_fun(_u11164, tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), _u11162), hAPP(c_COMBB(tc_prod(_u11162, _u11164), tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool), _u11164), c_member(tc_prod(_u11162, _u11164)))), c_Product__Type_OPair(_u11162, _u11164)))), _u11166)), hAPP(hAPP(c_COMBC(_u11162, tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_fun(_u11164, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11164, tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_fun(_u11164, tc_HOL_Obool)), _u11162), c_COMBC(_u11164, tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11164, tc_prod(_u11162, _u11164)), tc_fun(_u11164, tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), _u11162), hAPP(c_COMBB(tc_prod(_u11162, _u11164), tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool), _u11164), c_member(tc_prod(_u11162, _u11164)))), c_Product__Type_OPair(_u11162, _u11164)))), _u11168)), _u11170), _u11172)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11162, _u11164)), hAPP(hAPP(c_Product__Type_OPair(_u11162, _u11164), _u11170), _u11172)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool)), _u11166), _u11168))) )).
% 12.17/12.41 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11163, _u11165)), hAPP(hAPP(c_Product__Type_OPair(_u11163, _u11165), _u11171), _u11173)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool)), _u11167), _u11169))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11163, tc_fun(_u11165, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11163, tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_fun(_u11165, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11165, tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_fun(_u11165, tc_HOL_Obool)), _u11163), c_COMBC(_u11165, tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11165, tc_prod(_u11163, _u11165)), tc_fun(_u11165, tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), _u11163), hAPP(c_COMBB(tc_prod(_u11163, _u11165), tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool), _u11165), c_member(tc_prod(_u11163, _u11165)))), c_Product__Type_OPair(_u11163, _u11165)))), _u11167)), hAPP(hAPP(c_COMBC(_u11163, tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_fun(_u11165, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11165, tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_fun(_u11165, tc_HOL_Obool)), _u11163), c_COMBC(_u11165, tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11165, tc_prod(_u11163, _u11165)), tc_fun(_u11165, tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), _u11163), hAPP(c_COMBB(tc_prod(_u11163, _u11165), tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool), _u11165), c_member(tc_prod(_u11163, _u11165)))), c_Product__Type_OPair(_u11163, _u11165)))), _u11169)), _u11171), _u11173)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11178, tc_fun(_u11180, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11178, tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_fun(_u11180, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11180, tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_fun(_u11180, tc_HOL_Obool)), _u11178), c_COMBC(_u11180, tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11180, tc_prod(_u11178, _u11180)), tc_fun(_u11180, tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), _u11178), hAPP(c_COMBB(tc_prod(_u11178, _u11180), tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool), _u11180), c_member(tc_prod(_u11178, _u11180)))), c_Product__Type_OPair(_u11178, _u11180)))), _u11182)), hAPP(hAPP(c_COMBC(_u11178, tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_fun(_u11180, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11180, tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_fun(_u11180, tc_HOL_Obool)), _u11178), c_COMBC(_u11180, tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11180, tc_prod(_u11178, _u11180)), tc_fun(_u11180, tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), _u11178), hAPP(c_COMBB(tc_prod(_u11178, _u11180), tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool), _u11180), c_member(tc_prod(_u11178, _u11180)))), c_Product__Type_OPair(_u11178, _u11180)))), _u11184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool)), _u11182), _u11184)) )).
% 12.17/12.41 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool)), _u11183), _u11185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11179, tc_fun(_u11181, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11179, tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_fun(_u11181, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11181, tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_fun(_u11181, tc_HOL_Obool)), _u11179), c_COMBC(_u11181, tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11181, tc_prod(_u11179, _u11181)), tc_fun(_u11181, tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), _u11179), hAPP(c_COMBB(tc_prod(_u11179, _u11181), tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool), _u11181), c_member(tc_prod(_u11179, _u11181)))), c_Product__Type_OPair(_u11179, _u11181)))), _u11183)), hAPP(hAPP(c_COMBC(_u11179, tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_fun(_u11181, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11181, tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_fun(_u11181, tc_HOL_Obool)), _u11179), c_COMBC(_u11181, tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11181, tc_prod(_u11179, _u11181)), tc_fun(_u11181, tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), _u11179), hAPP(c_COMBB(tc_prod(_u11179, _u11181), tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool), _u11181), c_member(tc_prod(_u11179, _u11181)))), c_Product__Type_OPair(_u11179, _u11181)))), _u11185))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11190, tc_fun(_u11192, tc_HOL_Obool))), _u11194), _u11196)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11190, _u11192)), hAPP(hAPP(c_Product__Type_OPair(_u11190, _u11192), _u11194), _u11196)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11190, _u11192), tc_HOL_Obool)))) )).
% 12.17/12.41 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11191, _u11193)), hAPP(hAPP(c_Product__Type_OPair(_u11191, _u11193), _u11195), _u11197)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11191, _u11193), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11191, tc_fun(_u11193, tc_HOL_Obool))), _u11195), _u11197)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u11206 = _u11208) | ( hAPP(hAPP(c_COMBC(_u11202, tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_fun(_u11204, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11204, tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_fun(_u11204, tc_HOL_Obool)), _u11202), c_COMBC(_u11204, tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11204, tc_prod(_u11202, _u11204)), tc_fun(_u11204, tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), _u11202), hAPP(c_COMBB(tc_prod(_u11202, _u11204), tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool), _u11204), c_member(tc_prod(_u11202, _u11204)))), c_Product__Type_OPair(_u11202, _u11204)))), _u11206) != hAPP(hAPP(c_COMBC(_u11202, tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_fun(_u11204, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11204, tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_fun(_u11204, tc_HOL_Obool)), _u11202), c_COMBC(_u11204, tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11204, tc_prod(_u11202, _u11204)), tc_fun(_u11204, tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), _u11202), hAPP(c_COMBB(tc_prod(_u11202, _u11204), tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool), _u11204), c_member(tc_prod(_u11202, _u11204)))), c_Product__Type_OPair(_u11202, _u11204)))), _u11208)) )).
% 12.17/12.41 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u11207 != _u11209) | ( hAPP(hAPP(c_COMBC(_u11203, tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_fun(_u11205, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11205, tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_fun(_u11205, tc_HOL_Obool)), _u11203), c_COMBC(_u11205, tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11205, tc_prod(_u11203, _u11205)), tc_fun(_u11205, tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), _u11203), hAPP(c_COMBB(tc_prod(_u11203, _u11205), tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool), _u11205), c_member(tc_prod(_u11203, _u11205)))), c_Product__Type_OPair(_u11203, _u11205)))), _u11207) = hAPP(hAPP(c_COMBC(_u11203, tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_fun(_u11205, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11205, tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_fun(_u11205, tc_HOL_Obool)), _u11203), c_COMBC(_u11205, tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11205, tc_prod(_u11203, _u11205)), tc_fun(_u11205, tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), _u11203), hAPP(c_COMBB(tc_prod(_u11203, _u11205), tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool), _u11205), c_member(tc_prod(_u11203, _u11205)))), c_Product__Type_OPair(_u11203, _u11205)))), _u11209)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11216, tc_fun(_u11218, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11216, tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_fun(_u11218, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11218, tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_fun(_u11218, tc_HOL_Obool)), _u11216), c_COMBC(_u11218, tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11218, tc_prod(_u11216, _u11218)), tc_fun(_u11218, tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), _u11216), hAPP(c_COMBB(tc_prod(_u11216, _u11218), tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool), _u11218), c_member(tc_prod(_u11216, _u11218)))), c_Product__Type_OPair(_u11216, _u11218)))), _u11220)), hAPP(hAPP(c_COMBC(_u11216, tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_fun(_u11218, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11218, tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_fun(_u11218, tc_HOL_Obool)), _u11216), c_COMBC(_u11218, tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11218, tc_prod(_u11216, _u11218)), tc_fun(_u11218, tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), _u11216), hAPP(c_COMBB(tc_prod(_u11216, _u11218), tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool), _u11218), c_member(tc_prod(_u11216, _u11218)))), c_Product__Type_OPair(_u11216, _u11218)))), _u11222)), _u11224), _u11226)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11216, _u11218)), hAPP(hAPP(c_Product__Type_OPair(_u11216, _u11218), _u11224), _u11226)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool)), _u11220), _u11222))) )).
% 12.17/12.41 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11217, _u11219)), hAPP(hAPP(c_Product__Type_OPair(_u11217, _u11219), _u11225), _u11227)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool)), _u11221), _u11223))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11217, tc_fun(_u11219, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11217, tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_fun(_u11219, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11219, tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_fun(_u11219, tc_HOL_Obool)), _u11217), c_COMBC(_u11219, tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11219, tc_prod(_u11217, _u11219)), tc_fun(_u11219, tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), _u11217), hAPP(c_COMBB(tc_prod(_u11217, _u11219), tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool), _u11219), c_member(tc_prod(_u11217, _u11219)))), c_Product__Type_OPair(_u11217, _u11219)))), _u11221)), hAPP(hAPP(c_COMBC(_u11217, tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_fun(_u11219, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11219, tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_fun(_u11219, tc_HOL_Obool)), _u11217), c_COMBC(_u11219, tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11219, tc_prod(_u11217, _u11219)), tc_fun(_u11219, tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), _u11217), hAPP(c_COMBB(tc_prod(_u11217, _u11219), tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool), _u11219), c_member(tc_prod(_u11217, _u11219)))), c_Product__Type_OPair(_u11217, _u11219)))), _u11223)), _u11225), _u11227)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u11228, _u11229, _u11230, _u11231) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11228, _u11228)), hAPP(hAPP(c_Product__Type_OPair(_u11228, _u11228), _u11232), _u11233)), _u11230)) | ( hAPP(_u11231, _u11232) = hAPP(_u11231, _u11233)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u11234, _u11235, _u11236, _u11237, _u11238, _u11239) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11234, _u11234)), hAPP(hAPP(c_Product__Type_OPair(_u11234, _u11234), _u11240), _u11241)), _u11237)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11235, _u11235)), hAPP(hAPP(c_Product__Type_OPair(_u11235, _u11235), _u11242), _u11243)), _u11238)) | ( hAPP(hAPP(_u11239, _u11240), _u11242) = hAPP(hAPP(_u11239, _u11241), _u11243)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11251), _u11253), hAPP(c_Relation_OImage(_u11255, _u11251, _u11257), _u11259))) | hBOOL(hAPP(hAPP(c_member(_u11255), skolem270(_u11259, _u11257, _u11255, _u11253, _u11251)), _u11259)) )).
% 12.17/12.41 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11251), _u11253), hAPP(c_Relation_OImage(_u11255, _u11251, _u11257), _u11259))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11255, _u11251)), hAPP(hAPP(c_Product__Type_OPair(_u11255, _u11251), skolem270(_u11259, _u11257, _u11255, _u11253, _u11251)), _u11253)), _u11257)) )).
% 12.17/12.41 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11256), _u11245), _u11260)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11256, _u11252)), hAPP(hAPP(c_Product__Type_OPair(_u11256, _u11252), _u11245), _u11254)), _u11258)) | hBOOL(hAPP(hAPP(c_member(_u11252), _u11254), hAPP(c_Relation_OImage(_u11256, _u11252, _u11258), _u11260))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11261), _u11262), _u11263)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11261, _u11264)), hAPP(hAPP(c_Product__Type_OPair(_u11261, _u11264), _u11262), _u11265)), _u11266)) | hBOOL(hAPP(hAPP(c_member(_u11264), _u11265), hAPP(c_Relation_OImage(_u11261, _u11264, _u11266), _u11263))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11267, _u11268), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11269), _u11270))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11267, _u11268), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11271), _u11272))) | ( _u11268 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11270 = _u11272) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11273, _u11274), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11275), _u11276))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11273, _u11274), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11277), _u11278))) | ( _u11274 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11275 = _u11277) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11279, _u11279), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11280), _u11281))) | ( _u11279 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11281 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u11282 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11282), 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)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11289, tc_fun(_u11291, tc_fun(_u11293, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11289, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_fun(_u11291, tc_fun(_u11293, tc_HOL_Obool)), _u11289), hAPP(c_COMBC(_u11291, tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_fun(_u11293, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11293, tc_fun(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_fun(_u11293, tc_HOL_Obool)), _u11291), c_COMBC(_u11293, tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11293, tc_prod(_u11291, _u11293)), tc_fun(_u11293, tc_fun(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_HOL_Obool)), _u11291), hAPP(c_COMBB(tc_prod(_u11291, _u11293), tc_fun(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_HOL_Obool), _u11293), c_member(tc_prod(_u11291, _u11293)))), c_Product__Type_OPair(_u11291, _u11293))))), _u11295)), _u11297), _u11299)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11291, _u11293)), hAPP(hAPP(c_Product__Type_OPair(_u11291, _u11293), _u11297), _u11299)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11289, tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11289, tc_HOL_Obool))), _u11295))) )).
% 12.17/12.41 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11292, _u11294)), hAPP(hAPP(c_Product__Type_OPair(_u11292, _u11294), _u11298), _u11300)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11290, tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11290, tc_HOL_Obool))), _u11296))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11290, tc_fun(_u11292, tc_fun(_u11294, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11290, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_fun(_u11292, tc_fun(_u11294, tc_HOL_Obool)), _u11290), hAPP(c_COMBC(_u11292, tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_fun(_u11294, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11294, tc_fun(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_fun(_u11294, tc_HOL_Obool)), _u11292), c_COMBC(_u11294, tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11294, tc_prod(_u11292, _u11294)), tc_fun(_u11294, tc_fun(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_HOL_Obool)), _u11292), hAPP(c_COMBB(tc_prod(_u11292, _u11294), tc_fun(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_HOL_Obool), _u11294), c_member(tc_prod(_u11292, _u11294)))), c_Product__Type_OPair(_u11292, _u11294))))), _u11296)), _u11298), _u11300)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11307, tc_fun(_u11309, tc_fun(_u11311, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11307, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_fun(_u11309, tc_fun(_u11311, tc_HOL_Obool)), _u11307), hAPP(c_COMBC(_u11309, tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_fun(_u11311, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11311, tc_fun(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_fun(_u11311, tc_HOL_Obool)), _u11309), c_COMBC(_u11311, tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11311, tc_prod(_u11309, _u11311)), tc_fun(_u11311, tc_fun(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_HOL_Obool)), _u11309), hAPP(c_COMBB(tc_prod(_u11309, _u11311), tc_fun(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_HOL_Obool), _u11311), c_member(tc_prod(_u11309, _u11311)))), c_Product__Type_OPair(_u11309, _u11311))))), _u11313)), _u11315), _u11317)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11309, _u11311)), hAPP(hAPP(c_Product__Type_OPair(_u11309, _u11311), _u11315), _u11317)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11307, tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11307, tc_HOL_Obool))), _u11313))) )).
% 12.17/12.41 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11310, _u11312)), hAPP(hAPP(c_Product__Type_OPair(_u11310, _u11312), _u11316), _u11318)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11308, tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11308, tc_HOL_Obool))), _u11314))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11308, tc_fun(_u11310, tc_fun(_u11312, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11308, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_fun(_u11310, tc_fun(_u11312, tc_HOL_Obool)), _u11308), hAPP(c_COMBC(_u11310, tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_fun(_u11312, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11312, tc_fun(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_fun(_u11312, tc_HOL_Obool)), _u11310), c_COMBC(_u11312, tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11312, tc_prod(_u11310, _u11312)), tc_fun(_u11312, tc_fun(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_HOL_Obool)), _u11310), hAPP(c_COMBB(tc_prod(_u11310, _u11312), tc_fun(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_HOL_Obool), _u11312), c_member(tc_prod(_u11310, _u11312)))), c_Product__Type_OPair(_u11310, _u11312))))), _u11314)), _u11316), _u11318)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11319, _u11319), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11320), _u11321))) | ( _u11319 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11320 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11322, _u11323), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11324), _u11325))) | ( _u11323 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11322, _u11323) = _u11325) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11326, _u11327), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11328), _u11329))) | ( _u11327 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11326), _u11327) = _u11328) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u11330) | hBOOL(hAPP(hAPP(c_member(_u11330), c_Groups_Ozero__class_Ozero(_u11330)), c_Nat_Osemiring__1__class_ONats(_u11330))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u11331, _u11332) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11331), _u11332)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11331, _u11332))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u11333) | ~hBOOL(hAPP(hAPP(c_member(_u11333), _u11334), c_Nat_Osemiring__1__class_ONats(_u11333))) | ~hBOOL(hAPP(hAPP(c_member(_u11333), _u11335), c_Nat_Osemiring__1__class_ONats(_u11333))) | hBOOL(hAPP(hAPP(c_member(_u11333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11333), _u11334), _u11335)), c_Nat_Osemiring__1__class_ONats(_u11333))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u11336) | ~hBOOL(hAPP(hAPP(c_member(_u11336), _u11337), c_Nat_Osemiring__1__class_ONats(_u11336))) | ~hBOOL(hAPP(hAPP(c_member(_u11336), _u11338), c_Nat_Osemiring__1__class_ONats(_u11336))) | hBOOL(hAPP(hAPP(c_member(_u11336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11336), _u11337), _u11338)), c_Nat_Osemiring__1__class_ONats(_u11336))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u11339) | hBOOL(hAPP(hAPP(c_member(_u11339), c_Groups_Oone__class_Oone(_u11339)), c_Nat_Osemiring__1__class_ONats(_u11339))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u11340) | hBOOL(hAPP(hAPP(c_member(_u11340), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11340), _u11341)), c_Nat_Osemiring__1__class_ONats(_u11340))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11347), _u11349), hAPP(c_Relation_OImage(_u11351, _u11347, _u11353), hAPP(hAPP(c_Set_Oinsert(_u11351), _u11355), c_Orderings_Obot__class_Obot(tc_fun(_u11351, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11351, _u11347)), hAPP(hAPP(c_Product__Type_OPair(_u11351, _u11347), _u11355), _u11349)), _u11353)) )).
% 12.17/12.41 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11352, _u11348)), hAPP(hAPP(c_Product__Type_OPair(_u11352, _u11348), _u11356), _u11350)), _u11354)) | hBOOL(hAPP(hAPP(c_member(_u11348), _u11350), hAPP(c_Relation_OImage(_u11352, _u11348, _u11354), hAPP(hAPP(c_Set_Oinsert(_u11352), _u11356), c_Orderings_Obot__class_Obot(tc_fun(_u11352, tc_HOL_Obool)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11357, _u11358, _u11359) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11357, _u11357)), hAPP(hAPP(c_Product__Type_OPair(_u11357, _u11357), _u11360), _u11361)), _u11359)) | ( hAPP(c_Relation_OImage(_u11357, _u11357, _u11359), hAPP(hAPP(c_Set_Oinsert(_u11357), _u11360), c_Orderings_Obot__class_Obot(tc_fun(_u11357, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11357, _u11357, _u11359), hAPP(hAPP(c_Set_Oinsert(_u11357), _u11361), c_Orderings_Obot__class_Obot(tc_fun(_u11357, tc_HOL_Obool))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11362, _u11363, _u11364) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11362, tc_HOL_Obool)), _u11365), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11362), _u11363), _u11364))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11362, tc_HOL_Obool)), _u11366), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11362), _u11363), _u11364))) | ~hBOOL(hAPP(hAPP(c_member(_u11362), _u11367), _u11365)) | ~hBOOL(hAPP(hAPP(c_member(_u11362), _u11368), _u11366)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11362, _u11362)), hAPP(hAPP(c_Product__Type_OPair(_u11362, _u11362), _u11367), _u11368)), _u11364)) | ( _u11365 = _u11366) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11369, _u11370, _u11371) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11369, tc_HOL_Obool)), _u11372), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11369), _u11370), _u11371))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11369, tc_HOL_Obool)), _u11373), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11369), _u11370), _u11371))) | ~hBOOL(hAPP(hAPP(c_member(_u11369), _u11374), _u11372)) | ~hBOOL(hAPP(hAPP(c_member(_u11369), _u11375), _u11373)) | ( _u11372 != _u11373) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11369, _u11369)), hAPP(hAPP(c_Product__Type_OPair(_u11369, _u11369), _u11374), _u11375)), _u11371)) )).
% 12.17/12.41 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11369, _u11370, _u11371) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11369, tc_HOL_Obool)), _u11372), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11369), _u11370), _u11371))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11369, tc_HOL_Obool)), _u11373), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11369), _u11370), _u11371))) | ~hBOOL(hAPP(hAPP(c_member(_u11369), _u11374), _u11372)) | ~hBOOL(hAPP(hAPP(c_member(_u11369), _u11375), _u11373)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11369, _u11369)), hAPP(hAPP(c_Product__Type_OPair(_u11369, _u11369), _u11374), _u11375)), _u11371)) | ( _u11372 = _u11373) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u11376 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11377, _u11376), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11377), _u11376)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11377, _u11376)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u11378, _u11379, _u11380), hAPP(hAPP(c_Set_Oinsert(_u11378), _u11381), c_Orderings_Obot__class_Obot(tc_fun(_u11378, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u11379), hAPP(hAPP(c_COMBC(_u11379, tc_fun(tc_prod(_u11378, _u11379), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u11378, _u11379), tc_fun(tc_fun(tc_prod(_u11378, _u11379), tc_HOL_Obool), tc_HOL_Obool), _u11379), c_member(tc_prod(_u11378, _u11379))), hAPP(c_Product__Type_OPair(_u11378, _u11379), _u11381))), _u11380))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u11382, _u11382, _u11383), hAPP(hAPP(c_Set_Oinsert(_u11382), _u11384), c_Orderings_Obot__class_Obot(tc_fun(_u11382, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11382, _u11382, _u11383), hAPP(hAPP(c_Set_Oinsert(_u11382), _u11385), c_Orderings_Obot__class_Obot(tc_fun(_u11382, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11382, _u11386, _u11383) | ~hBOOL(hAPP(hAPP(c_member(_u11382), _u11385), _u11386)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11382, _u11382)), hAPP(hAPP(c_Product__Type_OPair(_u11382, _u11382), _u11384), _u11385)), _u11383)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~hBOOL(hAPP(hAPP(c_member(_u11387), _u11390), _u11388)) | ~hBOOL(hAPP(hAPP(c_member(_u11387), _u11391), _u11388)) | ( hAPP(c_Relation_OImage(_u11387, _u11387, _u11389), hAPP(hAPP(c_Set_Oinsert(_u11387), _u11390), c_Orderings_Obot__class_Obot(tc_fun(_u11387, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11387, _u11387, _u11389), hAPP(hAPP(c_Set_Oinsert(_u11387), _u11391), c_Orderings_Obot__class_Obot(tc_fun(_u11387, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11387, _u11387)), hAPP(hAPP(c_Product__Type_OPair(_u11387, _u11387), _u11390), _u11391)), _u11389)) )).
% 12.17/12.41 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~hBOOL(hAPP(hAPP(c_member(_u11387), _u11390), _u11388)) | ~hBOOL(hAPP(hAPP(c_member(_u11387), _u11391), _u11388)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11387, _u11387)), hAPP(hAPP(c_Product__Type_OPair(_u11387, _u11387), _u11390), _u11391)), _u11389)) | ( hAPP(c_Relation_OImage(_u11387, _u11387, _u11389), hAPP(hAPP(c_Set_Oinsert(_u11387), _u11390), c_Orderings_Obot__class_Obot(tc_fun(_u11387, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11387, _u11387, _u11389), hAPP(hAPP(c_Set_Oinsert(_u11387), _u11391), c_Orderings_Obot__class_Obot(tc_fun(_u11387, tc_HOL_Obool))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11392, _u11393, _u11394) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11392, _u11392)), hAPP(hAPP(c_Product__Type_OPair(_u11392, _u11392), _u11395), _u11396)), _u11394)) | ( hAPP(c_Relation_OImage(_u11392, _u11392, _u11394), hAPP(hAPP(c_Set_Oinsert(_u11392), _u11395), c_Orderings_Obot__class_Obot(tc_fun(_u11392, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11392, _u11392, _u11394), hAPP(hAPP(c_Set_Oinsert(_u11392), _u11396), c_Orderings_Obot__class_Obot(tc_fun(_u11392, tc_HOL_Obool))))) )).
% 12.17/12.41 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11392, _u11393, _u11394) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11392, _u11392)), hAPP(hAPP(c_Product__Type_OPair(_u11392, _u11392), _u11395), _u11396)), _u11394)) | hBOOL(hAPP(hAPP(c_member(_u11392), _u11395), _u11393)) )).
% 12.17/12.41 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11392, _u11393, _u11394) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11392, _u11392)), hAPP(hAPP(c_Product__Type_OPair(_u11392, _u11392), _u11395), _u11396)), _u11394)) | hBOOL(hAPP(hAPP(c_member(_u11392), _u11396), _u11393)) )).
% 12.17/12.41 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u11392, _u11393, _u11394) | ( hAPP(c_Relation_OImage(_u11392, _u11392, _u11394), hAPP(hAPP(c_Set_Oinsert(_u11392), _u11395), c_Orderings_Obot__class_Obot(tc_fun(_u11392, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11392, _u11392, _u11394), hAPP(hAPP(c_Set_Oinsert(_u11392), _u11396), c_Orderings_Obot__class_Obot(tc_fun(_u11392, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11392), _u11395), _u11393)) | ~hBOOL(hAPP(hAPP(c_member(_u11392), _u11396), _u11393)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11392, _u11392)), hAPP(hAPP(c_Product__Type_OPair(_u11392, _u11392), _u11395), _u11396)), _u11394)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11397, _u11398, _u11399) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11397, _u11397)), hAPP(hAPP(c_Product__Type_OPair(_u11397, _u11397), _u11400), _u11401)), _u11399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11397, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11397, _u11397, _u11399), hAPP(hAPP(c_Set_Oinsert(_u11397), _u11400), c_Orderings_Obot__class_Obot(tc_fun(_u11397, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11397, _u11397, _u11399), hAPP(hAPP(c_Set_Oinsert(_u11397), _u11401), c_Orderings_Obot__class_Obot(tc_fun(_u11397, tc_HOL_Obool)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11402, _u11403, _u11404) | ~hBOOL(hAPP(hAPP(c_member(_u11402), _u11405), _u11403)) | ~hBOOL(hAPP(hAPP(c_member(_u11402), _u11406), _u11403)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11402), hAPP(hAPP(c_Set_Oinsert(_u11402), _u11405), c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool)))), _u11404) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11402), hAPP(hAPP(c_Set_Oinsert(_u11402), _u11406), c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool)))), _u11404)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11402, _u11402)), hAPP(hAPP(c_Product__Type_OPair(_u11402, _u11402), _u11405), _u11406)), _u11404)) )).
% 12.17/12.41 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11402, _u11403, _u11404) | ~hBOOL(hAPP(hAPP(c_member(_u11402), _u11405), _u11403)) | ~hBOOL(hAPP(hAPP(c_member(_u11402), _u11406), _u11403)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11402, _u11402)), hAPP(hAPP(c_Product__Type_OPair(_u11402, _u11402), _u11405), _u11406)), _u11404)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11402), hAPP(hAPP(c_Set_Oinsert(_u11402), _u11405), c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool)))), _u11404) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11402), hAPP(hAPP(c_Set_Oinsert(_u11402), _u11406), c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool)))), _u11404)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11407, _u11408), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11409), _u11410))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11411, _u11408), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11412), _u11413))) | ( _u11408 = 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), _u11407), _u11411), _u11408), 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), _u11409), _u11412)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11410), _u11413)), _u11408))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11410), _u11413), _u11408)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11414, _u11415), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11416), _u11417))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11414), _u11415), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u11417), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11416)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11416)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u11417), 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), _u11415), _u11417))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11418, _u11419, _u11420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11418, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11418, _u11418, _u11420), hAPP(hAPP(c_Set_Oinsert(_u11418), _u11421), c_Orderings_Obot__class_Obot(tc_fun(_u11418, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11418, _u11418, _u11420), hAPP(hAPP(c_Set_Oinsert(_u11418), _u11422), c_Orderings_Obot__class_Obot(tc_fun(_u11418, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11418), _u11421), _u11419)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11418, _u11418)), hAPP(hAPP(c_Product__Type_OPair(_u11418, _u11418), _u11422), _u11421)), _u11420)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11423, _u11424, _u11425) | ~hBOOL(hAPP(hAPP(c_member(_u11423), _u11426), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11423, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11423, _u11423, _u11425), hAPP(hAPP(c_Set_Oinsert(_u11423), _u11427), c_Orderings_Obot__class_Obot(tc_fun(_u11423, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11423, _u11423, _u11425), hAPP(hAPP(c_Set_Oinsert(_u11423), _u11428), c_Orderings_Obot__class_Obot(tc_fun(_u11423, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11423, _u11423)), hAPP(hAPP(c_Product__Type_OPair(_u11423, _u11423), _u11427), _u11428)), _u11425)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__relI-1, axiom, ( ( _u11429 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11430), _u11431)), _u11432)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11429, _u11430), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11431), _u11432))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11430), _u11432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11432), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.41 cnf(fact_divmod__int__relI-2, axiom, ( ( _u11429 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11430), _u11431)), _u11432)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11429, _u11430), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11431), _u11432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11432), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11430)) )).
% 12.17/12.41 cnf(fact_divmod__int__relI-3, axiom, ( ( _u11429 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11430), _u11431)), _u11432)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11429, _u11430), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11431), _u11432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11432), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11430), _u11432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11432), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11433, _u11434), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11435), _u11436))) | ( _u11434 = 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), _u11437), _u11433), _u11434), 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), _u11437), _u11435)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11437), _u11436)), _u11434))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11437), _u11436), _u11434)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11438, _u11439)), hAPP(hAPP(c_Product__Type_OPair(_u11438, _u11439), _u11440), _u11441)), _u11442)) | hBOOL(hAPP(hAPP(c_member(_u11443), hAPP(hAPP(_u11444, _u11440), _u11441)), hAPP(c_Set_Oimage(tc_prod(_u11438, _u11439), _u11443, hAPP(c_Product__Type_Oprod_Oprod__case(_u11438, _u11439, _u11443), _u11444)), _u11442))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11449, _u11447) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11449), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11447))) )).
% 12.17/12.41 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11450, _u11448) = 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))) | ( _u11450 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.41 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11450, _u11448) = 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))) | ( _u11448 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.41 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u11450 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11448 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u11450, _u11448) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u11450), _u11448)), 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), _u11450))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11448)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u11451), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11452), _u11453)) = 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), _u11453), _u11451)), 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)))), _u11452)), 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)))), _u11452)), _u11453)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11458, tc_fun(_u11459, tc_HOL_Obool))), _u11457), _u11454), _u11455), _u11456)) | ~hBOOL(hAPP(hAPP(_u11454, _u11455), _u11456)) )).
% 12.17/12.41 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11458, tc_fun(_u11459, tc_HOL_Obool))), _u11457), _u11454), _u11455), _u11456)) | ~hBOOL(hAPP(hAPP(_u11457, _u11455), _u11456)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u11462, _u11464), _u11465)) | hBOOL(hAPP(hAPP(_u11463, _u11464), _u11465)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11460, tc_fun(_u11461, tc_HOL_Obool))), _u11462), _u11463), _u11464), _u11465)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11466, tc_fun(_u11467, tc_HOL_Obool))), _u11468), _u11469), _u11470), _u11471)) | hBOOL(hAPP(hAPP(_u11468, _u11470), _u11471)) )).
% 12.17/12.41 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11466, tc_fun(_u11467, tc_HOL_Obool))), _u11468), _u11469), _u11470), _u11471)) | hBOOL(hAPP(hAPP(_u11469, _u11470), _u11471)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11472, _u11473), _u11474)) | ~hBOOL(hAPP(hAPP(_u11475, _u11473), _u11474)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11476, tc_fun(_u11477, tc_HOL_Obool))), _u11472), _u11475), _u11473), _u11474)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11478), _u11479), hAPP(hAPP(_u11480, _u11481), _u11482))) | hBOOL(hAPP(hAPP(c_member(_u11478), _u11479), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11483, _u11484, tc_fun(_u11478, tc_HOL_Obool)), _u11480), hAPP(hAPP(c_Product__Type_OPair(_u11483, _u11484), _u11481), _u11482)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_splitI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11485, _u11486), _u11487)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11488, _u11489, tc_HOL_Obool), _u11485), hAPP(hAPP(c_Product__Type_OPair(_u11488, _u11489), _u11486), _u11487))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11490, _u11491), _u11492)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11493, _u11494, tc_HOL_Obool), _u11490), hAPP(hAPP(c_Product__Type_OPair(_u11493, _u11494), _u11491), _u11492))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11495, tc_fun(_u11496, tc_HOL_Obool))), _u11497), _u11498)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u11502, _u11503), _u11504), _u11505)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11499, _u11500, tc_fun(_u11501, tc_HOL_Obool)), _u11502), hAPP(hAPP(c_Product__Type_OPair(_u11499, _u11500), _u11503), _u11504)), _u11505)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u11506, _u11507), tc_prod(_u11507, _u11506), hAPP(c_Product__Type_Oprod_Oprod__case(_u11506, _u11507, tc_prod(_u11507, _u11506)), hAPP(c_COMBC(_u11507, _u11506, tc_prod(_u11507, _u11506)), c_Product__Type_OPair(_u11507, _u11506))), _u11508) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11509, _u11510), _u11511)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11512, tc_fun(_u11513, tc_HOL_Obool))), _u11514), _u11509), _u11510), _u11511)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11515, _u11516), _u11517)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11518, tc_fun(_u11519, tc_HOL_Obool))), _u11515), _u11520), _u11516), _u11517)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11521, _u11522), _u11523)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11524, tc_fun(_u11525, tc_HOL_Obool))), _u11521), _u11526)) | hBOOL(hAPP(hAPP(_u11526, _u11522), _u11523)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11529, _u11531), _u11532)) | hBOOL(hAPP(hAPP(_u11530, _u11531), _u11532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11527, tc_fun(_u11528, tc_HOL_Obool))), _u11529), _u11530)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u11536, _u11537), _u11538)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11533, tc_fun(_u11534, tc_HOL_Obool))), _u11535), _u11536), _u11537), _u11538)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u11541, _u11543), _u11544)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11539, tc_fun(_u11540, tc_HOL_Obool))), _u11541), _u11542), _u11543), _u11544)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11545, _u11546), _u11547), _u11548) != hAPP(hAPP(c_Product__Type_OPair(_u11545, _u11546), _u11549), _u11550)) | ( _u11547 = _u11549) )).
% 12.17/12.41 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11545, _u11546), _u11547), _u11548) != hAPP(hAPP(c_Product__Type_OPair(_u11545, _u11546), _u11549), _u11550)) | ( _u11548 = _u11550) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11557, _u11559), _u11561), _u11563) != hAPP(hAPP(c_Product__Type_OPair(_u11557, _u11559), _u11565), _u11567)) | ( _u11561 = _u11565) )).
% 12.17/12.41 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11557, _u11559), _u11561), _u11563) != hAPP(hAPP(c_Product__Type_OPair(_u11557, _u11559), _u11565), _u11567)) | ( _u11563 = _u11567) )).
% 12.17/12.41 cnf(fact_Pair__eq-3, axiom, ( ( _u11562 != _u11566) | ( _u11564 != _u11568) | ( hAPP(hAPP(c_Product__Type_OPair(_u11558, _u11560), _u11562), _u11564) = hAPP(hAPP(c_Product__Type_OPair(_u11558, _u11560), _u11566), _u11568)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u11578, skolem271(_u11582, _u11580, _u11578))) | hBOOL(hAPP(_u11578, hAPP(hAPP(c_Product__Type_OPair(_u11580, _u11582), _u11571), _u11570))) )).
% 12.17/12.41 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u11579, hAPP(hAPP(c_Product__Type_OPair(_u11581, _u11583), skolem272(_u11583, _u11581, _u11579)), skolem273(_u11583, _u11581, _u11579)))) | hBOOL(hAPP(_u11579, _u11574)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__weak__cong-1, axiom, ( ( _u11584 != _u11585) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11586, _u11587, _u11588), _u11589), _u11584) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11586, _u11587, _u11588), _u11589), _u11585)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11590, _u11591, _u11592), _u11593), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11594, _u11595, tc_prod(_u11590, _u11591)), _u11596), _u11597)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11594, _u11595, _u11592), hAPP(hAPP(c_COMBB(tc_fun(_u11595, tc_prod(_u11590, _u11591)), tc_fun(_u11595, _u11592), _u11594), hAPP(c_COMBB(tc_prod(_u11590, _u11591), _u11592, _u11595), hAPP(c_Product__Type_Oprod_Oprod__case(_u11590, _u11591, _u11592), _u11593))), _u11596)), _u11597)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11598, _u11599, _u11600), _u11601), hAPP(hAPP(c_Product__Type_OPair(_u11598, _u11599), _u11602), _u11603)) = hAPP(hAPP(_u11601, _u11602), _u11603)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11604, _u11605, _u11606), _u11607), hAPP(hAPP(c_Product__Type_OPair(_u11604, _u11605), _u11608), _u11609)) = hAPP(hAPP(_u11607, _u11608), _u11609)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_splitD ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u11612, _u11613), _u11614)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11610, _u11611, tc_HOL_Obool), _u11612), hAPP(hAPP(c_Product__Type_OPair(_u11610, _u11611), _u11613), _u11614))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u11615, _u11616, _u11617), hAPP(hAPP(c_COMBB(tc_fun(_u11616, tc_prod(_u11615, _u11616)), tc_fun(_u11616, _u11617), _u11615), hAPP(c_COMBB(tc_prod(_u11615, _u11616), _u11617, _u11616), _u11618)), c_Product__Type_OPair(_u11615, _u11616))) = _u11618) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11619, _u11620), hAPP(c_Product__Type_Oprod_Oprod__case(_u11619, _u11620, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11619, tc_fun(_u11620, tc_HOL_Obool), tc_fun(_u11620, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11620, tc_HOL_Obool), tc_fun(_u11620, tc_HOL_Obool)), _u11619), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11620)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11619), c_fconj), hAPP(c_fequal, _u11621)))), hAPP(c_fequal, _u11622)))) = hAPP(hAPP(c_Product__Type_OPair(_u11619, _u11620), _u11621), _u11622)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11623, _u11624), _u11625) = c_HOL_OThe(tc_prod(_u11623, _u11624), hAPP(c_Product__Type_Oprod_Oprod__case(_u11623, _u11624, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11624, tc_prod(_u11623, _u11624)), tc_fun(_u11624, tc_HOL_Obool), _u11623), hAPP(c_COMBB(tc_prod(_u11623, _u11624), tc_HOL_Obool, _u11624), _u11625)), c_Product__Type_OPair(_u11623, _u11624))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u11626) = 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)), _u11626))))), 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)), _u11626))))), 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)))))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11632, _u11634, _u11636), _u11638), _u11640)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11632, _u11634)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11638), _u11640)), _u11636)) )).
% 12.17/12.41 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11633, _u11635)), hAPP(hAPP(c_Product__Type_OPair(_u11633, _u11635), _u11639), _u11641)), _u11637)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11633, _u11635, _u11637), _u11639), _u11641)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u11642, _u11643) = 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), _u11642), _u11643)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11642, _u11643))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11644))) | ~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), _u11644)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11644)) = 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), _u11644)))) )).
% 12.17/12.41 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), _u11644))) | 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), _u11644)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11644)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11644)), 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), _u11644))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11645), 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)), _u11646)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11645, _u11646), c_Divides_OnegDivAlg(_u11645, _u11646))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11647), 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)), _u11648)) | ( c_Divides_OnegDivAlg(_u11647, _u11648) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11647), _u11648)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11647, _u11648))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11649) = 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), _u11649), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u11652, _u11654) = 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), _u11652), _u11654))) | ~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), _u11652), _u11654))) )).
% 12.17/12.41 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u11652, _u11654) = 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), _u11652), _u11654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11654), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.41 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), _u11653), _u11655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11655), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11653, _u11655) = hAPP(c_Divides_Oadjust(_u11655), c_Divides_OnegDivAlg(_u11653, 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)))), _u11655)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11656)) | ~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), _u11657), _u11656))) | ( c_Divides_OnegDivAlg(_u11657, _u11656) = 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), _u11657), _u11656))) )).
% 12.17/12.41 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)), _u11656)) | 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), _u11657), _u11656))) | ( c_Divides_OnegDivAlg(_u11657, _u11656) = hAPP(c_Divides_Oadjust(_u11656), c_Divides_OnegDivAlg(_u11657, 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)))), _u11656)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11658))) | ~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), _u11659)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11659), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)) = 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), _u11659)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)))) )).
% 12.17/12.41 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), _u11658))) | 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), _u11659)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11659), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11659), 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), _u11658))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u11664, _u11666) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11664, _u11664)), hAPP(hAPP(c_Product__Type_OPair(_u11664, _u11664), _u11660), _u11660)), _u11666)) )).
% 12.17/12.41 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11665, _u11665)), hAPP(hAPP(c_Product__Type_OPair(_u11665, _u11665), skolem274(_u11667, _u11665)), skolem274(_u11667, _u11665))), _u11667)) | c_Nitpick_Orefl_H(_u11665, _u11667) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11668))) | ~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), _u11668))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11668)) = 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))) )).
% 12.17/12.41 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), _u11668))) | 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), _u11668))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11668)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11668)), 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), _u11668))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u11671, _u11673) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11671), _u11673)) )).
% 12.17/12.41 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u11671, _u11673) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11673), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.41 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11672), _u11674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11674), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11672, _u11674) = hAPP(c_Divides_Oadjust(_u11674), c_Divides_OposDivAlg(_u11672, 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)))), _u11674)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11675) = 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))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11677)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11676, _u11677), c_Divides_OposDivAlg(_u11676, _u11677))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11679)) | ( c_Divides_OposDivAlg(_u11678, _u11679) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11678), _u11679)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11678, _u11679))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680)) = 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), _u11681))) )).
% 12.17/12.41 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), _u11680))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681), 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), _u11680))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11683), _u11682)) | ( c_Divides_OposDivAlg(_u11683, _u11682) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11683)) )).
% 12.17/12.41 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)), _u11682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11683), _u11682)) | ( c_Divides_OposDivAlg(_u11683, _u11682) = hAPP(c_Divides_Oadjust(_u11682), c_Divides_OposDivAlg(_u11683, 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)))), _u11682)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11688)) | ( c_Divides_Odivmod__int(_u11686, _u11688) = c_Divides_OposDivAlg(_u11686, _u11688)) )).
% 12.17/12.41 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)), _u11686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11688)) | ( _u11686 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11686, _u11688) = 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))) )).
% 12.17/12.41 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)), _u11686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11688)) | ( _u11686 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11686, _u11688) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11686), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11688)))) )).
% 12.17/12.41 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)), _u11687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11689)) | ( c_Divides_Odivmod__int(_u11687, _u11689) = c_Divides_OnegDivAlg(_u11687, _u11689)) )).
% 12.17/12.41 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)), _u11687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11689)) | ( c_Divides_Odivmod__int(_u11687, _u11689) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11687), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11689)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11690), _u11691)) | ( c_Divides_Odivmod__nat(_u11691, _u11690) = 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), _u11691), _u11690)), _u11690))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11691), _u11690), _u11690))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u11694 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11694, _u11696) = 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))) )).
% 12.17/12.41 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u11695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11697 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11695, _u11697) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11695)) )).
% 12.17/12.41 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u11695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11697 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11695, _u11697) = 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, _u11697))), 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)), _u11697)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11695))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11697), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11695), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u11695, _u11697)), 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), _u11697))))), c_Divides_Opdivmod(_u11695, _u11697))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 12.17/12.41 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))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11698, _u11699, _u11700, _u11701), hAPP(hAPP(c_Product__Type_OPair(_u11700, _u11698), _u11702), _u11703)) = hAPP(hAPP(c_Product__Type_OPair(_u11700, _u11699), _u11702), hAPP(_u11701, _u11703))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u11704, 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)), _u11704)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11705), _u11706)) | ( c_Divides_Odivmod__nat(_u11705, _u11706) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11705)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11707), _u11708)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11707), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11708))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u11709, _u11710) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11709), _u11710)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11709, _u11710))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11712)), _u11713)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11711, _u11712), hAPP(c_Divides_OnegateSnd, _u11713))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u11718, _u11716) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11718)) | ( _u11716 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.41 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u11718, _u11716) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11718), _u11716)) )).
% 12.17/12.41 cnf(fact_divmod__nat__if-3, axiom, ( ( _u11717 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11719), _u11717)) | ( c_Divides_Odivmod__nat(_u11719, _u11717) = 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), _u11719), _u11717), _u11717))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u11720, _u11721) = 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), _u11720)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11721))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11720), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11721)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u11724 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11726, _u11724) = 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), _u11726))) )).
% 12.17/12.41 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u11725 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11727, _u11725) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11727), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11725))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__int__code-1, axiom, ( ( _u11730 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11730, _u11732) = 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))) )).
% 12.17/12.41 cnf(fact_divmod__int__code-2, axiom, ( ( _u11731 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11733 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11731, _u11733) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11731)) )).
% 12.17/12.41 cnf(fact_divmod__int__code-3, axiom, ( ( _u11731 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11733 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11731, _u11733) = 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, _u11733))), 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, _u11731)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11733))), c_Divides_Opdivmod(_u11731, _u11733)), 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), _u11733))))), c_Divides_Opdivmod(_u11731, _u11733))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11736, _u11737, _u11738) | ~c_Equiv__Relations_Ocongruent(_u11736, tc_fun(_u11739, tc_HOL_Obool), _u11738, _u11740) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11741), _u11740) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11742), _u11740)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11741), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11742), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ( _u11741 = _u11742) | hBOOL(hAPP(hAPP(c_member(_u11736), skolem275(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736)), _u11737)) )).
% 12.17/12.41 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11736, _u11737, _u11738) | ~c_Equiv__Relations_Ocongruent(_u11736, tc_fun(_u11739, tc_HOL_Obool), _u11738, _u11740) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11741), _u11740) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11742), _u11740)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11741), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11742), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ( _u11741 = _u11742) | hBOOL(hAPP(hAPP(c_member(_u11736), skolem276(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736)), _u11737)) )).
% 12.17/12.41 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11736, _u11737, _u11738) | ~c_Equiv__Relations_Ocongruent(_u11736, tc_fun(_u11739, tc_HOL_Obool), _u11738, _u11740) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11741), _u11740) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11742), _u11740)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11741), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11742), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ( _u11741 = _u11742) | ( hAPP(_u11740, skolem275(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736)) = hAPP(_u11740, skolem276(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736))) )).
% 12.17/12.41 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u11736, _u11737, _u11738) | ~c_Equiv__Relations_Ocongruent(_u11736, tc_fun(_u11739, tc_HOL_Obool), _u11738, _u11740) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11741), _u11740) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11742), _u11740)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11741), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11742), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ( _u11741 = _u11742) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11736, _u11736)), hAPP(hAPP(c_Product__Type_OPair(_u11736, _u11736), skolem275(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736)), skolem276(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736))), _u11738)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11743, _u11744), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11745), _u11746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11744)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11747), _u11743), _u11744), 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), _u11747), _u11745)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11747), _u11746)), _u11744))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11747), _u11746), _u11744)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11748, _u11749), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11750), _u11751))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11752)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11748, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11749), _u11752)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11750), _u11752)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11749), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11750, _u11752))), _u11751)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11753, _u11754), _u11755)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11753, _u11754), _u11756)) | ( _u11755 = _u11756) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11757, _u11758), c_Divides_Odivmod__nat(_u11757, _u11758))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11759, _u11760), _u11761)) | ( c_Divides_Odivmod__nat(_u11759, _u11760) = _u11761) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u11762, _u11763) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11762, _u11763))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11764, _u11765), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11766), _u11767))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11764, _u11765) = _u11767) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11768, _u11769), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11770), _u11771))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11768), _u11769) = _u11770) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11772, _u11773), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11772), _u11773)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11772, _u11773)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11774, _u11775), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11776), _u11777))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11778, _u11775), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11779), _u11780))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11775)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11774), _u11778), _u11775), 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), _u11776), _u11779)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11777), _u11780)), _u11775))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11777), _u11780), _u11775)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11781), _u11782))) | ( c_Divides_OnegDivAlg(_u11781, _u11782) = 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), _u11781), _u11782))) | ~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), _u11781), _u11782))) )).
% 12.17/12.41 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), _u11781), _u11782))) | ( c_Divides_OnegDivAlg(_u11781, _u11782) = 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), _u11781), _u11782))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11782), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.41 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), _u11781), _u11782))) | 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), _u11781), _u11782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11782), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11781, _u11782) = hAPP(c_Divides_Oadjust(_u11782), c_Divides_OnegDivAlg(_u11781, 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)))), _u11782)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11783), _u11784))) | ( c_Divides_OposDivAlg(_u11783, _u11784) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11783), _u11784)) )).
% 12.17/12.41 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), _u11783), _u11784))) | ( c_Divides_OposDivAlg(_u11783, _u11784) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11784), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.41 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), _u11783), _u11784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11783), _u11784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11784), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11783, _u11784) = hAPP(c_Divides_Oadjust(_u11784), c_Divides_OposDivAlg(_u11783, 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)))), _u11784)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11785)), 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), _u11785)) = 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), _u11785)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11792, _u11794, _u11796, _u11798), _u11800) != hAPP(c_Product__Type_Oapsnd(_u11792, _u11794, _u11796, _u11802), _u11800)) | ( hAPP(_u11798, hAPP(c_Product__Type_Osnd(_u11796, _u11792), _u11800)) = hAPP(_u11802, hAPP(c_Product__Type_Osnd(_u11796, _u11792), _u11800))) )).
% 12.17/12.41 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u11799, hAPP(c_Product__Type_Osnd(_u11797, _u11793), _u11801)) != hAPP(_u11803, hAPP(c_Product__Type_Osnd(_u11797, _u11793), _u11801))) | ( hAPP(c_Product__Type_Oapsnd(_u11793, _u11795, _u11797, _u11799), _u11801) = hAPP(c_Product__Type_Oapsnd(_u11793, _u11795, _u11797, _u11803), _u11801)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u11804, _u11805), hAPP(c_Product__Type_Oapsnd(_u11806, _u11805, _u11804, _u11807), _u11808)) = hAPP(_u11807, hAPP(c_Product__Type_Osnd(_u11804, _u11806), _u11808))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u11809, _u11810), _u11811) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11809, _u11810, _u11810), hAPP(c_COMBK(tc_fun(_u11810, _u11810), _u11809), c_COMBI(_u11810))), _u11811)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u11812, _u11813), hAPP(hAPP(c_Product__Type_OPair(_u11812, _u11813), _u11814), _u11815)) = _u11815) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_snd__eqD-1, axiom, ( ( _u11819 = _u11820) | ( hAPP(c_Product__Type_Osnd(_u11816, _u11817), hAPP(hAPP(c_Product__Type_OPair(_u11816, _u11817), _u11818), _u11819)) != _u11820) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11821, _u11822) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11821, _u11822))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11823), 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)), _u11824)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11823, _u11824) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11823, _u11824))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11826)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11825, _u11826) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11825, _u11826))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11827))) | ( 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), _u11827)) = 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), _u11827)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11829), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11828, _u11829) = 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), _u11828), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11829))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11830), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11831), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11830, _u11831) = 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), _u11830), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11831))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11832), _u11833))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11832, _u11833) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11832), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11833))) )).
% 12.17/12.41 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), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11832, _u11833) = 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))) | ( _u11832 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.41 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), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11832, _u11833) = 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))) | ( _u11833 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.41 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), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u11832 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11833 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u11832, _u11833) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u11832), _u11833)), 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), _u11832))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11833)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11836), _u11837))) | hBOOL(hAPP(hAPP(_u11838, _u11836), _u11837)) | 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), skolem277(_u11838, _u11837, _u11836)), skolem278(_u11838, _u11837, _u11836)))) )).
% 12.17/12.41 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), _u11836), _u11837))) | hBOOL(hAPP(hAPP(_u11838, _u11836), _u11837)) | 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), skolem277(_u11838, _u11837, _u11836)), skolem278(_u11838, _u11837, _u11836)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem278(_u11838, _u11837, _u11836)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11838, skolem277(_u11838, _u11837, _u11836)), 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)))), skolem278(_u11838, _u11837, _u11836)))) )).
% 12.17/12.41 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), _u11836), _u11837))) | hBOOL(hAPP(hAPP(_u11838, _u11836), _u11837)) | ~hBOOL(hAPP(hAPP(_u11838, skolem277(_u11838, _u11837, _u11836)), skolem278(_u11838, _u11837, _u11836))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11841), _u11842))) | hBOOL(hAPP(hAPP(_u11843, _u11841), _u11842)) | 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), skolem279(_u11843, _u11842, _u11841)), skolem280(_u11843, _u11842, _u11841)))) )).
% 12.17/12.41 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), _u11841), _u11842))) | hBOOL(hAPP(hAPP(_u11843, _u11841), _u11842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem279(_u11843, _u11842, _u11841)), skolem280(_u11843, _u11842, _u11841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem280(_u11843, _u11842, _u11841)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11843, skolem279(_u11843, _u11842, _u11841)), 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)))), skolem280(_u11843, _u11842, _u11841)))) )).
% 12.17/12.41 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), _u11841), _u11842))) | hBOOL(hAPP(hAPP(_u11843, _u11841), _u11842)) | ~hBOOL(hAPP(hAPP(_u11843, skolem279(_u11843, _u11842, _u11841)), skolem280(_u11843, _u11842, _u11841))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11844, _u11845) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11844, _u11845))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11846, tc_fun(_u11846, tc_HOL_Obool))), _u11847), _u11848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11846, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u11846, _u11848)), c_Wellfounded_Oaccp(_u11846, _u11847))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u11853, _u11855) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11853, _u11853)), hAPP(hAPP(c_Product__Type_OPair(_u11853, _u11853), _u11849), _u11849)), _u11855)) )).
% 12.17/12.41 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11854, _u11854)), hAPP(hAPP(c_Product__Type_OPair(_u11854, _u11854), skolem281(_u11856, _u11854)), skolem281(_u11856, _u11854))), _u11856)) | c_Relation_Oirrefl(_u11854, _u11856) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11859), _u11860))) | hBOOL(hAPP(hAPP(_u11861, _u11859), _u11860)) | 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), skolem282(_u11861, _u11860, _u11859)), skolem283(_u11861, _u11860, _u11859)))) )).
% 12.17/12.41 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), _u11859), _u11860))) | hBOOL(hAPP(hAPP(_u11861, _u11859), _u11860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem283(_u11861, _u11860, _u11859)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11861, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem282(_u11861, _u11860, _u11859))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem283(_u11861, _u11860, _u11859)))) )).
% 12.17/12.41 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), _u11859), _u11860))) | hBOOL(hAPP(hAPP(_u11861, _u11859), _u11860)) | ~hBOOL(hAPP(hAPP(_u11861, skolem282(_u11861, _u11860, _u11859)), skolem283(_u11861, _u11860, _u11859))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11867, _u11869), _u11871)) | ~hBOOL(hAPP(hAPP(_u11869, _u11862), _u11871)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11867, _u11869), _u11862)) )).
% 12.17/12.41 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11868, _u11870), _u11872)) | hBOOL(hAPP(hAPP(_u11870, skolem284(_u11872, _u11870, _u11868)), _u11872)) )).
% 12.17/12.41 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11868, _u11870), _u11872)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11868, _u11870), skolem284(_u11872, _u11870, _u11868))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11878, _u11880), _u11882)) | ~hBOOL(hAPP(hAPP(_u11880, _u11873), _u11882)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11878, _u11880), _u11873)) )).
% 12.17/12.41 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11879, _u11881), _u11883)) | hBOOL(hAPP(hAPP(_u11881, skolem285(_u11883, _u11881, _u11879)), _u11883)) )).
% 12.17/12.41 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11879, _u11881), _u11883)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11879, _u11881), skolem285(_u11883, _u11881, _u11879))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11884, _u11885), _u11886)) | ~hBOOL(hAPP(hAPP(_u11885, _u11887), _u11886)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11884, _u11885), _u11887)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11888), _u11889))) | ( _u11889 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u11888, _u11889) = _u11888) )).
% 12.17/12.41 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), _u11888), _u11889))) | ( _u11889 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u11888, _u11889) = c_Nitpick_Onat__gcd(_u11889, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11888, _u11889))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u11890)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u11890)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11901, _u11897)), hAPP(_u11901, _u11899))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11895, _u11895)), hAPP(hAPP(c_Product__Type_OPair(_u11895, _u11895), _u11897), _u11899)), hAPP(c_Wellfounded_Omeasure(_u11895), _u11901))) )).
% 12.17/12.41 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11902, _u11898)), hAPP(_u11902, _u11900))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11896, _u11896)), hAPP(hAPP(c_Product__Type_OPair(_u11896, _u11896), _u11898), _u11900)), hAPP(c_Wellfounded_Omeasure(_u11896), _u11902))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11903)), 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), _u11903)) = 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), _u11903)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u11904) = 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, _u11904)), 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))))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11907), _u11908))) | hBOOL(hAPP(hAPP(_u11909, _u11907), _u11908)) | 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), skolem286(_u11909, _u11908, _u11907)), skolem287(_u11909, _u11908, _u11907)))) )).
% 12.17/12.41 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), _u11907), _u11908))) | hBOOL(hAPP(hAPP(_u11909, _u11907), _u11908)) | ( skolem287(_u11909, _u11908, _u11907) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u11909, skolem287(_u11909, _u11908, _u11907)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem286(_u11909, _u11908, _u11907), skolem287(_u11909, _u11908, _u11907)))) )).
% 12.17/12.41 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), _u11907), _u11908))) | hBOOL(hAPP(hAPP(_u11909, _u11907), _u11908)) | ~hBOOL(hAPP(hAPP(_u11909, skolem286(_u11909, _u11908, _u11907)), skolem287(_u11909, _u11908, _u11907))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11910, _u11911), hAPP(c_Product__Type_Oapsnd(_u11912, _u11911, _u11910, _u11913), _u11914)) = hAPP(c_Product__Type_Ofst(_u11910, _u11912), _u11914)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11915, _u11916), _u11917) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11915, _u11916, _u11915), c_COMBK(_u11915, _u11916)), _u11917)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u11920) != hAPP(c_Int_ORep__Integ, _u11922)) | ( _u11920 = _u11922) )).
% 12.17/12.41 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u11921 != _u11923) | ( hAPP(c_Int_ORep__Integ, _u11921) = hAPP(c_Int_ORep__Integ, _u11923)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11924, _u11925), hAPP(hAPP(c_Product__Type_OPair(_u11924, _u11925), _u11926), _u11927)) = _u11926) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fst__eqD-1, axiom, ( ( _u11930 = _u11932) | ( hAPP(c_Product__Type_Ofst(_u11928, _u11929), hAPP(hAPP(c_Product__Type_OPair(_u11928, _u11929), _u11930), _u11931)) != _u11932) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u11937 != _u11939) | ( hAPP(c_Product__Type_Ofst(_u11941, _u11943), _u11937) = hAPP(c_Product__Type_Ofst(_u11941, _u11943), _u11939)) )).
% 12.17/12.41 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u11937 != _u11939) | ( hAPP(c_Product__Type_Osnd(_u11941, _u11943), _u11937) = hAPP(c_Product__Type_Osnd(_u11941, _u11943), _u11939)) )).
% 12.17/12.41 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11942, _u11944), _u11938) != hAPP(c_Product__Type_Ofst(_u11942, _u11944), _u11940)) | ( hAPP(c_Product__Type_Osnd(_u11942, _u11944), _u11938) != hAPP(c_Product__Type_Osnd(_u11942, _u11944), _u11940)) | ( _u11938 = _u11940) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11945, _u11946), _u11947) != hAPP(c_Product__Type_Ofst(_u11945, _u11946), _u11948)) | ( hAPP(c_Product__Type_Osnd(_u11945, _u11946), _u11947) != hAPP(c_Product__Type_Osnd(_u11945, _u11946), _u11948)) | ( _u11947 = _u11948) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_surjective__pairing-1, axiom, ( ( _u11949 = hAPP(hAPP(c_Product__Type_OPair(_u11950, _u11951), hAPP(c_Product__Type_Ofst(_u11950, _u11951), _u11949)), hAPP(c_Product__Type_Osnd(_u11950, _u11951), _u11949))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11952, _u11953), hAPP(c_Product__Type_Ofst(_u11952, _u11953), _u11954)), hAPP(c_Product__Type_Osnd(_u11952, _u11953), _u11954)) = _u11954) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11955, _u11956, _u11957), _u11958), _u11959) = hAPP(hAPP(_u11958, hAPP(c_Product__Type_Ofst(_u11955, _u11956), _u11959)), hAPP(c_Product__Type_Osnd(_u11955, _u11956), _u11959))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11960), _u11961) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11960, _u11961))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u11962, _u11963), _u11963, _u11964), hAPP(hAPP(c_COMBB(_u11965, tc_fun(_u11963, _u11964), tc_prod(_u11962, _u11963)), _u11966), hAPP(hAPP(c_COMBB(_u11962, _u11965, tc_prod(_u11962, _u11963)), _u11967), c_Product__Type_Ofst(_u11962, _u11963)))), c_Product__Type_Osnd(_u11962, _u11963)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11962, _u11963, _u11964), hAPP(hAPP(c_COMBB(_u11965, tc_fun(_u11963, _u11964), _u11962), _u11966), _u11967))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11968, _u11969, _u11970), _u11971), _u11972) = hAPP(hAPP(_u11971, hAPP(c_Product__Type_Ofst(_u11968, _u11969), _u11972)), hAPP(c_Product__Type_Osnd(_u11968, _u11969), _u11972))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11973, _u11974, _u11975), _u11976), _u11977) = hAPP(hAPP(_u11976, hAPP(c_Product__Type_Ofst(_u11973, _u11974), _u11977)), hAPP(c_Product__Type_Osnd(_u11973, _u11974), _u11977))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_The__split ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11978, _u11979), hAPP(c_Product__Type_Oprod_Oprod__case(_u11978, _u11979, tc_HOL_Obool), _u11980)) = c_HOL_OThe(tc_prod(_u11978, _u11979), hAPP(hAPP(c_COMBS(tc_prod(_u11978, _u11979), _u11979, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11978, tc_fun(_u11979, tc_HOL_Obool), tc_prod(_u11978, _u11979)), _u11980), c_Product__Type_Ofst(_u11978, _u11979))), c_Product__Type_Osnd(_u11978, _u11979)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11981), 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)), _u11982)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11981), _u11982) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11981, _u11982))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11984)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11983), _u11984) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11983, _u11984))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.17/12.41 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), _u11985))) | ( 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), _u11985)) = 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), _u11985)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u11986)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11987), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11986), _u11987) = 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), _u11986), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11987))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11988), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11989), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11988), _u11989) = 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), _u11988), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11989))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u11990, _u11991, _u11992, _u11993, _u11994) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u11992, hAPP(c_Product__Type_Ofst(_u11990, _u11991), _u11994))), hAPP(_u11993, hAPP(c_Product__Type_Osnd(_u11990, _u11991), _u11994)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11995, _u11996), _u11997)) | hBOOL(hAPP(hAPP(_u11995, hAPP(c_Product__Type_Osnd(_u11998, _u11999), hAPP(hAPP(c_Product__Type_OPair(_u11998, _u11999), _u11997), _u11996))), hAPP(c_Product__Type_Ofst(_u11998, _u11999), hAPP(hAPP(c_Product__Type_OPair(_u11998, _u11999), _u11997), _u11996)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u12000, _u12001)) | ~hBOOL(hAPP(_u12002, _u12003)) | hBOOL(hAPP(_u12000, hAPP(c_Product__Type_Ofst(_u12004, _u12005), hAPP(hAPP(c_Product__Type_OPair(_u12004, _u12005), _u12001), _u12003)))) )).
% 12.17/12.41 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u12000, _u12001)) | ~hBOOL(hAPP(_u12002, _u12003)) | hBOOL(hAPP(_u12002, hAPP(c_Product__Type_Osnd(_u12004, _u12005), hAPP(hAPP(c_Product__Type_OPair(_u12004, _u12005), _u12001), _u12003)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u12006), _u12007) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u12006, _u12007))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12011 = 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), _u12015)), _u12013)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12015))) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12015) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 = 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)), _u12013)) | 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), _u12015))) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 = 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)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12015)), _u12013)) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 = 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)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12013), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12015))) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 = 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)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12015)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( _u12014 = 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)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12014), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( _u12014 = 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), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12014)) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( _u12014 = 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), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12014), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12016) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u12014 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12016) != 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)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12014), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12016) != 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), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12014)) )).
% 12.17/12.41 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12016) != 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), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12014), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12017, _u12018), _u12019), _u12020) = hAPP(c_Set_OCollect(tc_prod(_u12018, _u12018)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12018, _u12018, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12018, tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_fun(_u12018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12018, tc_fun(tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_fun(_u12018, tc_HOL_Obool)), _u12018), c_COMBC(_u12018, tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12018, tc_prod(_u12017, _u12017)), tc_fun(_u12018, tc_fun(tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_HOL_Obool)), _u12018), hAPP(c_COMBB(tc_prod(_u12017, _u12017), tc_fun(tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_HOL_Obool), _u12018), c_member(tc_prod(_u12017, _u12017)))), hAPP(hAPP(c_COMBC(_u12018, tc_fun(_u12018, _u12017), tc_fun(_u12018, tc_prod(_u12017, _u12017))), hAPP(hAPP(c_COMBB(tc_fun(_u12017, tc_prod(_u12017, _u12017)), tc_fun(tc_fun(_u12018, _u12017), tc_fun(_u12018, tc_prod(_u12017, _u12017))), _u12018), c_COMBB(_u12017, tc_prod(_u12017, _u12017), _u12018)), hAPP(hAPP(c_COMBB(_u12017, tc_fun(_u12017, tc_prod(_u12017, _u12017)), _u12018), c_Product__Type_OPair(_u12017, _u12017)), _u12020))), _u12020)))), _u12019)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u12021, _u12022)), hAPP(_u12021, _u12023))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12024, _u12024)), hAPP(hAPP(c_Product__Type_OPair(_u12024, _u12024), _u12022), _u12023)), _u12025)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12024, _u12024)), hAPP(hAPP(c_Product__Type_OPair(_u12024, _u12024), _u12022), _u12023)), c_Wellfounded_Omlex__prod(_u12024, _u12021, _u12025))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u12026)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u12026)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u12029) != c_Code__Numeral_OSuc__code__numeral(_u12031)) | ( _u12029 = _u12031) )).
% 12.17/12.41 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u12030 != _u12032) | ( c_Code__Numeral_OSuc__code__numeral(_u12030) = c_Code__Numeral_OSuc__code__numeral(_u12032)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u12033) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.41 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(_u12034)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12047, _u12047)), hAPP(hAPP(c_Product__Type_OPair(_u12047, _u12047), hAPP(_u12051, _u12043)), hAPP(_u12051, _u12045))), _u12049)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12041, _u12041)), hAPP(hAPP(c_Product__Type_OPair(_u12041, _u12041), _u12043), _u12045)), hAPP(hAPP(c_Relation_Oinv__image(_u12047, _u12041), _u12049), _u12051))) )).
% 12.17/12.41 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12048, _u12048)), hAPP(hAPP(c_Product__Type_OPair(_u12048, _u12048), hAPP(_u12052, _u12044)), hAPP(_u12052, _u12046))), _u12050)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12042, _u12042)), hAPP(hAPP(c_Product__Type_OPair(_u12042, _u12042), _u12044), _u12046)), hAPP(hAPP(c_Relation_Oinv__image(_u12048, _u12042), _u12050), _u12052))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 12.17/12.41 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(_u12053)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u12053) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12054, _u12055)), hAPP(_u12054, _u12056))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12057, _u12057)), hAPP(hAPP(c_Product__Type_OPair(_u12057, _u12057), _u12055), _u12056)), c_Wellfounded_Omlex__prod(_u12057, _u12054, _u12058))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 12.17/12.41 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(_u12059)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u12059)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u12060, _u12061) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))))), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool)), c_COMBS(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)), tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))), tc_fun(_u12061, _u12060)), c_Product__Type_OPair(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), c_Relation_Oinv__image(_u12060, _u12061))))), c_Relation_Oinv__image(_u12060, _u12061)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u12062) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12062, tc_HOL_Obool), tc_fun(_u12062, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12062, tc_HOL_Obool), tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12062, tc_HOL_Obool), tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12062, tc_HOL_Obool)), c_COMBS(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12062, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12062, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12062, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12062))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12066, tc_HOL_Obool), tc_fun(_u12066, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12066, tc_HOL_Obool), tc_fun(_u12066, tc_HOL_Obool)), _u12068), _u12070)), c_Wellfounded_Ofinite__psubset(_u12066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12066, tc_HOL_Obool)), _u12068), _u12070)) )).
% 12.17/12.41 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12066, tc_HOL_Obool), tc_fun(_u12066, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12066, tc_HOL_Obool), tc_fun(_u12066, tc_HOL_Obool)), _u12068), _u12070)), c_Wellfounded_Ofinite__psubset(_u12066))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12066), _u12070)) )).
% 12.17/12.41 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12067, tc_HOL_Obool)), _u12069), _u12071)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12067), _u12071)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12067, tc_HOL_Obool), tc_fun(_u12067, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12067, tc_HOL_Obool), tc_fun(_u12067, tc_HOL_Obool)), _u12069), _u12071)), c_Wellfounded_Ofinite__psubset(_u12067))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12072)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u12072)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u12073, _u12074, _u12075, _u12076, hAPP(hAPP(c_Product__Type_OPair(_u12073, _u12074), _u12077), _u12078)) = hAPP(hAPP(_u12076, _u12077), _u12078)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12087, _u12089), tc_prod(_u12087, _u12089))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12087, _u12089), tc_prod(_u12087, _u12089)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12089), _u12091), _u12093)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12089), _u12095), _u12097))), c_Wellfounded_Olex__prod(_u12087, _u12089, _u12099, _u12101))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12087, _u12087)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12087), _u12091), _u12095)), _u12099)) | ( _u12091 = _u12095) )).
% 12.17/12.41 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12087, _u12089), tc_prod(_u12087, _u12089))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12087, _u12089), tc_prod(_u12087, _u12089)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12089), _u12091), _u12093)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12089), _u12095), _u12097))), c_Wellfounded_Olex__prod(_u12087, _u12089, _u12099, _u12101))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12087, _u12087)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12087), _u12091), _u12095)), _u12099)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12089, _u12089)), hAPP(hAPP(c_Product__Type_OPair(_u12089, _u12089), _u12093), _u12097)), _u12101)) )).
% 12.17/12.41 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12088, _u12090), tc_prod(_u12088, _u12090))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12088, _u12090), tc_prod(_u12088, _u12090)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12090), _u12092), _u12094)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12090), _u12096), _u12098))), c_Wellfounded_Olex__prod(_u12088, _u12090, _u12100, _u12102))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12088, _u12088)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12088), _u12092), _u12096)), _u12100)) )).
% 12.17/12.41 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12088, _u12090), tc_prod(_u12088, _u12090))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12088, _u12090), tc_prod(_u12088, _u12090)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12090), _u12092), _u12094)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12090), _u12096), _u12098))), c_Wellfounded_Olex__prod(_u12088, _u12090, _u12100, _u12102))) | ( _u12092 != _u12096) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12090, _u12090)), hAPP(hAPP(c_Product__Type_OPair(_u12090, _u12090), _u12094), _u12098)), _u12102)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u12103) = _u12103) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u12104, _u12105)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12106, _u12106)), hAPP(hAPP(c_Product__Type_OPair(_u12106, _u12106), _u12107), _u12108)), hAPP(_u12109, _u12105))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12110, _u12106), tc_prod(_u12110, _u12106))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12110, _u12106), tc_prod(_u12110, _u12106)), hAPP(hAPP(c_Product__Type_OPair(_u12110, _u12106), _u12105), _u12107)), hAPP(hAPP(c_Product__Type_OPair(_u12110, _u12106), _u12105), _u12108))), c_Recdef_Osame__fst(_u12110, _u12106, _u12104, _u12109))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12113, c_Orderings_Otop__class_Otop(tc_fun(_u12113, tc_HOL_Obool)), _u12115) | c_Equiv__Relations_Oequivp(_u12113, hAPP(hAPP(c_COMBC(_u12113, tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_fun(_u12113, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12113, tc_fun(tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_fun(_u12113, tc_HOL_Obool)), _u12113), c_COMBC(_u12113, tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12113, tc_prod(_u12113, _u12113)), tc_fun(_u12113, tc_fun(tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_HOL_Obool)), _u12113), hAPP(c_COMBB(tc_prod(_u12113, _u12113), tc_fun(tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_HOL_Obool), _u12113), c_member(tc_prod(_u12113, _u12113)))), c_Product__Type_OPair(_u12113, _u12113)))), _u12115)) )).
% 12.17/12.41 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u12114, hAPP(hAPP(c_COMBC(_u12114, tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_fun(_u12114, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12114, tc_fun(tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_fun(_u12114, tc_HOL_Obool)), _u12114), c_COMBC(_u12114, tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12114, tc_prod(_u12114, _u12114)), tc_fun(_u12114, tc_fun(tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_HOL_Obool)), _u12114), hAPP(c_COMBB(tc_prod(_u12114, _u12114), tc_fun(tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_HOL_Obool), _u12114), c_member(tc_prod(_u12114, _u12114)))), c_Product__Type_OPair(_u12114, _u12114)))), _u12116)) | c_Equiv__Relations_Oequiv(_u12114, c_Orderings_Otop__class_Otop(tc_fun(_u12114, tc_HOL_Obool)), _u12116) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12117, _u12118, _u12119, _u12120), hAPP(c_Product__Type_Oapfst(_u12121, _u12119, _u12117, _u12122), _u12123)) = hAPP(hAPP(c_Product__Type_OPair(_u12119, _u12118), hAPP(_u12122, hAPP(c_Product__Type_Ofst(_u12121, _u12117), _u12123))), hAPP(_u12120, hAPP(c_Product__Type_Osnd(_u12121, _u12117), _u12123)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12124, _u12125, _u12126, _u12127), hAPP(hAPP(c_Product__Type_OPair(_u12124, _u12126), _u12128), _u12129)) = hAPP(hAPP(c_Product__Type_OPair(_u12125, _u12126), hAPP(_u12127, _u12128)), _u12129)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12136, _u12138, _u12140, _u12142), _u12144) != hAPP(c_Product__Type_Oapfst(_u12136, _u12138, _u12140, _u12146), _u12144)) | ( hAPP(_u12142, hAPP(c_Product__Type_Ofst(_u12136, _u12140), _u12144)) = hAPP(_u12146, hAPP(c_Product__Type_Ofst(_u12136, _u12140), _u12144))) )).
% 12.17/12.41 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u12143, hAPP(c_Product__Type_Ofst(_u12137, _u12141), _u12145)) != hAPP(_u12147, hAPP(c_Product__Type_Ofst(_u12137, _u12141), _u12145))) | ( hAPP(c_Product__Type_Oapfst(_u12137, _u12139, _u12141, _u12143), _u12145) = hAPP(c_Product__Type_Oapfst(_u12137, _u12139, _u12141, _u12147), _u12145)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12148, _u12149), hAPP(c_Product__Type_Oapfst(_u12150, _u12148, _u12149, _u12151), _u12152)) = hAPP(_u12151, hAPP(c_Product__Type_Ofst(_u12150, _u12149), _u12152))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12153, _u12154), hAPP(c_Product__Type_Oapfst(_u12155, _u12153, _u12154, _u12156), _u12157)) = hAPP(c_Product__Type_Osnd(_u12155, _u12154), _u12157)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u12158, c_fequal) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u12173, _u12175) | ~hBOOL(hAPP(hAPP(_u12175, _u12167), _u12165)) | ( hAPP(_u12175, _u12167) = hAPP(_u12175, _u12165)) )).
% 12.17/12.41 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u12173, _u12175) | ( hAPP(_u12175, _u12168) != hAPP(_u12175, _u12166)) | hBOOL(hAPP(hAPP(_u12175, _u12168), _u12166)) )).
% 12.17/12.41 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u12174, _u12176) | hBOOL(hAPP(hAPP(_u12176, skolem288(_u12176)), skolem289(_u12176))) | ( hAPP(_u12176, skolem290(_u12176)) = hAPP(_u12176, skolem291(_u12176))) )).
% 12.17/12.41 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u12174, _u12176) | hBOOL(hAPP(hAPP(_u12176, skolem288(_u12176)), skolem289(_u12176))) | ~hBOOL(hAPP(hAPP(_u12176, skolem290(_u12176)), skolem291(_u12176))) )).
% 12.17/12.41 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u12174, _u12176) | ( hAPP(_u12176, skolem288(_u12176)) != hAPP(_u12176, skolem289(_u12176))) | ( hAPP(_u12176, skolem290(_u12176)) = hAPP(_u12176, skolem291(_u12176))) )).
% 12.17/12.41 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u12174, _u12176) | ( hAPP(_u12176, skolem288(_u12176)) != hAPP(_u12176, skolem289(_u12176))) | ~hBOOL(hAPP(hAPP(_u12176, skolem290(_u12176)), skolem291(_u12176))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u12178, _u12179), _u12179)) | ~c_Equiv__Relations_Oequivp(_u12177, _u12178) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12181, _u12182), _u12183)) | hBOOL(hAPP(hAPP(_u12181, _u12183), _u12182)) | ~c_Equiv__Relations_Oequivp(_u12180, _u12181) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12185, _u12186), _u12187)) | ~hBOOL(hAPP(hAPP(_u12185, _u12187), _u12188)) | hBOOL(hAPP(hAPP(_u12185, _u12186), _u12188)) | ~c_Equiv__Relations_Oequivp(_u12184, _u12185) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12189, _u12190, _u12191, _u12192), hAPP(c_Product__Type_Oapfst(_u12193, _u12191, _u12189, _u12194), _u12195)) = hAPP(c_Product__Type_Oapfst(_u12193, _u12191, _u12190, _u12194), hAPP(c_Product__Type_Oapsnd(_u12189, _u12190, _u12193, _u12192), _u12195))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12196, _u12197, _u12198, _u12199), hAPP(c_Product__Type_Oapsnd(_u12200, _u12198, _u12196, _u12201), _u12202)) = hAPP(hAPP(c_Product__Type_OPair(_u12197, _u12198), hAPP(_u12199, hAPP(c_Product__Type_Ofst(_u12196, _u12200), _u12202))), hAPP(_u12201, hAPP(c_Product__Type_Osnd(_u12196, _u12200), _u12202)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12203), _u12204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12205), _u12206)) | 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), _u12203), _u12205)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12204), _u12206))), c_FunDef_Opair__less)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12208), _u12209), hAPP(c_Relation_OImage(_u12210, _u12208, _u12211), _u12212))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12210, _u12208)), hAPP(hAPP(c_Product__Type_OPair(_u12210, _u12208), skolem292(_u12212, _u12211, _u12210, _u12209, _u12208)), _u12209)), _u12211)) )).
% 12.17/12.41 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12208), _u12209), hAPP(c_Relation_OImage(_u12210, _u12208, _u12211), _u12212))) | hBOOL(hAPP(hAPP(c_member(_u12210), skolem292(_u12212, _u12211, _u12210, _u12209, _u12208)), _u12212)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u12213, _u12214, _u12215) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u12213), _u12213), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u12213, c_Wellfounded_Oless__than, _u12215)), hAPP(hAPP(c_COMBS(_u12213, _u12213, tc_prod(tc_Nat_Onat, _u12213)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u12213, tc_prod(tc_Nat_Onat, _u12213)), _u12213), c_Product__Type_OPair(tc_Nat_Onat, _u12213)), _u12214)), c_COMBI(_u12213)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u12216) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u12216), c_Wellfounded_Oless__than)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 12.17/12.41 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), _u12219), _u12221)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12219), _u12221)) )).
% 12.17/12.41 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12220), _u12222)) | 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), _u12220), _u12222)), c_Wellfounded_Oless__than)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12223), _u12224)) | 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), _u12223), _u12225)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12224), _u12226))), c_FunDef_Opair__less)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12227), _u12228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12229), _u12230)) | 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), _u12227), _u12229)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12228), _u12230))), c_FunDef_Opair__leq)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12231), _u12232)) | ~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)), _u12231), _u12233)), 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)), _u12232), _u12234)), 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)), _u12232), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12233), _u12234))), c_FunDef_Omin__strict)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12235), _u12236)) | ~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)), _u12237), _u12235)), 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)), _u12238), _u12236)), 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)), _u12237), _u12238)), _u12236)), c_FunDef_Omax__strict)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_smin__emptyI-1, axiom, ( ( _u12239 = 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)), _u12239), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12240)) | ( _u12240 = 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))), _u12240)), c_FunDef_Omax__strict)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12241), _u12242)) | 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), _u12241), _u12243)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12242), _u12244))), c_FunDef_Opair__leq)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12245), _u12246)) | ~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)), _u12247), _u12245)), 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)), _u12248), _u12246)), 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)), _u12247), _u12248)), _u12246)), c_FunDef_Omax__weak)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12249), _u12250)) | ~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)), _u12249), _u12251)), 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)), _u12250), _u12252)), 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)), _u12250), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12251), _u12252))), c_FunDef_Omin__weak)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u12253), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12253, _u12253)), hAPP(hAPP(c_Product__Type_OPair(_u12253, _u12253), _u12254), _u12255)), _u12256)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12253, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12253), _u12254), hAPP(hAPP(c_Set_Oinsert(_u12253), _u12255), c_Orderings_Obot__class_Obot(tc_fun(_u12253, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u12253), _u12256))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u12257), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12257, _u12257), tc_HOL_Obool), _u12258)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12257, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u12257, _u12257), tc_HOL_Obool), tc_fun(_u12257, tc_HOL_Obool), c_Relation_OField(_u12257)), _u12258))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u12259), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12259, _u12259), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12259, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12260, _u12260), tc_HOL_Obool)), _u12261), _u12262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12260, tc_HOL_Obool)), hAPP(c_Relation_OField(_u12260), _u12261)), hAPP(c_Relation_OField(_u12260), _u12262))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u12263), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool)), _u12264), _u12265)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12263, tc_HOL_Obool)), hAPP(c_Relation_OField(_u12263), _u12264)), hAPP(c_Relation_OField(_u12263), _u12265))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12266, _u12266)), _u12267)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12266), hAPP(c_Relation_OField(_u12266), _u12267))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12268)) | 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))), _u12268)), c_FunDef_Omax__weak)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u12269), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 12.17/12.41 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))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 12.17/12.41 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))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u12270, _u12271) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12270, tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool)), _u12271), hAPP(hAPP(c_COMBC(_u12270, tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool), tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u12270, _u12270), tc_fun(tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool), tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool)), _u12270), c_Set_Oinsert(tc_prod(_u12270, _u12270))), hAPP(hAPP(c_COMBS(_u12270, _u12270, tc_prod(_u12270, _u12270)), c_Product__Type_OPair(_u12270, _u12270)), c_COMBI(_u12270)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u12272, _u12273) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12272, _u12272, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12272, tc_HOL_Obool, tc_fun(_u12272, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12272, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u12272, tc_HOL_Obool)), _u12272), c_COMBC(_u12272, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12272, tc_HOL_Obool), tc_fun(_u12272, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12272), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12272), c_fconj)), c_fequal))), _u12273))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u12274, c_Orderings_Obot__class_Obot(tc_fun(_u12274, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12274, _u12274), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u12275, _u12275, c_Relation_OId__on(_u12275, _u12276)), _u12277) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12275, tc_HOL_Obool)), _u12276), _u12277)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Id__on__eqI-1, axiom, ( ( _u12278 != _u12279) | ~hBOOL(hAPP(hAPP(c_member(_u12280), _u12278), _u12281)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12280, _u12280)), hAPP(hAPP(c_Product__Type_OPair(_u12280, _u12280), _u12278), _u12279)), c_Relation_OId__on(_u12280, _u12281))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12286, _u12286)), hAPP(hAPP(c_Product__Type_OPair(_u12286, _u12286), _u12288), _u12290)), c_Relation_OId__on(_u12286, _u12292))) | ( _u12288 = _u12290) )).
% 12.17/12.41 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12286, _u12286)), hAPP(hAPP(c_Product__Type_OPair(_u12286, _u12286), _u12288), _u12290)), c_Relation_OId__on(_u12286, _u12292))) | hBOOL(hAPP(hAPP(c_member(_u12286), _u12288), _u12292)) )).
% 12.17/12.41 cnf(fact_Id__on__iff-3, axiom, ( ( _u12289 != _u12291) | ~hBOOL(hAPP(hAPP(c_member(_u12287), _u12289), _u12293)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12287, _u12287)), hAPP(hAPP(c_Product__Type_OPair(_u12287, _u12287), _u12289), _u12291)), c_Relation_OId__on(_u12287, _u12293))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool)), _u12295), _u12296)), c_Wellfounded_Omax__ext(_u12294, _u12297))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool)), _u12298), _u12299)), c_Wellfounded_Omax__ext(_u12294, _u12297))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12294, tc_HOL_Obool)), _u12295), _u12298)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12294, tc_HOL_Obool)), _u12296), _u12299))), c_Wellfounded_Omax__ext(_u12294, _u12297))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u12304, hAPP(hAPP(c_COMBC(_u12304, tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_fun(_u12304, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12304, tc_fun(tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_fun(_u12304, tc_HOL_Obool)), _u12304), c_COMBC(_u12304, tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12304, tc_prod(_u12304, _u12304)), tc_fun(_u12304, tc_fun(tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_HOL_Obool)), _u12304), hAPP(c_COMBB(tc_prod(_u12304, _u12304), tc_fun(tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_HOL_Obool), _u12304), c_member(tc_prod(_u12304, _u12304)))), c_Product__Type_OPair(_u12304, _u12304)))), _u12306), _u12308, _u12310) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12304, tc_HOL_Obool), tc_fun(_u12304, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12304, tc_HOL_Obool), tc_fun(_u12304, tc_HOL_Obool)), _u12308), _u12310)), c_Wellfounded_Omax__ext(_u12304, _u12306))) )).
% 12.17/12.41 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12305, tc_HOL_Obool), tc_fun(_u12305, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12305, tc_HOL_Obool), tc_fun(_u12305, tc_HOL_Obool)), _u12309), _u12311)), c_Wellfounded_Omax__ext(_u12305, _u12307))) | c_Wellfounded_Omax__extp(_u12305, hAPP(hAPP(c_COMBC(_u12305, tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_fun(_u12305, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12305, tc_fun(tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_fun(_u12305, tc_HOL_Obool)), _u12305), c_COMBC(_u12305, tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12305, tc_prod(_u12305, _u12305)), tc_fun(_u12305, tc_fun(tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_HOL_Obool)), _u12305), hAPP(c_COMBB(tc_prod(_u12305, _u12305), tc_fun(tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_HOL_Obool), _u12305), c_member(tc_prod(_u12305, _u12305)))), c_Product__Type_OPair(_u12305, _u12305)))), _u12307), _u12309, _u12311) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12312, _u12313) | c_FunDef_Oreduction__pair(_u12314, hAPP(hAPP(c_FunDef_Orp__inv__image(_u12312, _u12314), _u12313), _u12315)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u12318), 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)), _u12320), 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)), _u12318), _u12320)), c_Int_Ointrel)) )).
% 12.17/12.41 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)), _u12319), _u12321)), 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)), _u12319), 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)), _u12321), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 12.17/12.41 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), _u12326), _u12328)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12330), _u12332))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12326), _u12332) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12330), _u12328)) )).
% 12.17/12.41 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12327), _u12333) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12331), _u12329)) | 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), _u12327), _u12329)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12331), _u12333))), c_Int_Ointrel)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12335, _u12335)), _u12336), c_Relation_OId__on(_u12335, _u12337))) | hBOOL(hAPP(hAPP(c_member(_u12335), skolem293(_u12337, _u12336, _u12335)), _u12337)) )).
% 12.17/12.41 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12335, _u12335)), _u12336), c_Relation_OId__on(_u12335, _u12337))) | ( _u12336 = hAPP(hAPP(c_Product__Type_OPair(_u12335, _u12335), skolem293(_u12337, _u12336, _u12335)), skolem293(_u12337, _u12336, _u12335))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 12.17/12.41 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) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_of__int ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u12338) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u12338), 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), _u12339), _u12340)), 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(_u12338), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12338), _u12339)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12338), _u12340))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 12.17/12.41 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)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mult ( axiom ) converted to clauses:
% 12.17/12.41 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), _u12341), _u12342)), 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), _u12343), _u12344)), 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), _u12341), _u12343)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12342), _u12344))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12341), _u12344)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12342), _u12343)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u12345)) = _u12345) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_minus ( axiom ) converted to clauses:
% 12.17/12.41 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), _u12346), _u12347)), 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), _u12347), _u12346)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 12.17/12.41 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)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_int__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12348) = 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), _u12348), 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)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_add ( axiom ) converted to clauses:
% 12.17/12.41 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), _u12349), _u12350)), 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), _u12351), _u12352)), 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), _u12349), _u12351)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12350), _u12352))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_nat ( axiom ) converted to clauses:
% 12.17/12.41 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), _u12353), _u12354)), 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), _u12353), _u12354)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12355) = 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, _u12355)), 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)))))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_less ( axiom ) converted to clauses:
% 12.17/12.41 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), _u12360), _u12362)), 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), _u12364), _u12366)), 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), _u12360), _u12366)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12364), _u12362))) )).
% 12.17/12.41 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), _u12361), _u12367)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12365), _u12363))) | 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), _u12361), _u12363)), 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), _u12365), _u12367)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_le ( axiom ) converted to clauses:
% 12.17/12.41 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), _u12372), _u12374)), 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), _u12376), _u12378)), 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), _u12372), _u12378)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12376), _u12374))) )).
% 12.17/12.41 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), _u12373), _u12379)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12377), _u12375))) | 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), _u12373), _u12375)), 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), _u12377), _u12379)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u12382 = 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), skolem294(_u12382)), skolem295(_u12382))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 12.17/12.41 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12383, _u12384, _u12385, c_Code__Numeral_OSuc__code__numeral(_u12386)) = hAPP(_u12385, _u12386)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 12.17/12.41 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, _u12387)), c_Int_OInteg)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12388, _u12389, _u12390, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u12389) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 12.17/12.41 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) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12394, hAPP(hAPP(c_COMBC(_u12394, tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_fun(_u12394, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12394, tc_fun(tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_fun(_u12394, tc_HOL_Obool)), _u12394), c_COMBC(_u12394, tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12394, tc_prod(_u12394, _u12394)), tc_fun(_u12394, tc_fun(tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_HOL_Obool)), _u12394), hAPP(c_COMBB(tc_prod(_u12394, _u12394), tc_fun(tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_HOL_Obool), _u12394), c_member(tc_prod(_u12394, _u12394)))), c_Product__Type_OPair(_u12394, _u12394)))), _u12396)), _u12398)) | hBOOL(hAPP(hAPP(c_member(_u12394), _u12398), c_Wellfounded_Oacc(_u12394, _u12396))) )).
% 12.17/12.41 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12395), _u12399), c_Wellfounded_Oacc(_u12395, _u12397))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12395, hAPP(hAPP(c_COMBC(_u12395, tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_fun(_u12395, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12395, tc_fun(tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_fun(_u12395, tc_HOL_Obool)), _u12395), c_COMBC(_u12395, tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12395, tc_prod(_u12395, _u12395)), tc_fun(_u12395, tc_fun(tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_HOL_Obool)), _u12395), hAPP(c_COMBB(tc_prod(_u12395, _u12395), tc_fun(tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_HOL_Obool), _u12395), c_member(tc_prod(_u12395, _u12395)))), c_Product__Type_OPair(_u12395, _u12395)))), _u12397)), _u12399)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12400, _u12401, _u12402), _u12403), _u12404) = hAPP(c_Set_OCollect(tc_prod(_u12400, _u12402)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12400, _u12402, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool)), tc_fun(_u12402, tc_HOL_Obool), _u12400), hAPP(c_COMBB(tc_fun(_u12401, tc_HOL_Obool), tc_HOL_Obool, _u12402), c_HOL_OEx(_u12401))), hAPP(hAPP(c_COMBC(_u12400, tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool)), tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12401, tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), tc_fun(tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool)), tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool))), _u12400), c_COMBB(tc_fun(_u12401, tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool), _u12402)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12401, tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), _u12400), c_COMBS(_u12401, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_HOL_Obool), tc_fun(_u12401, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12400), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12401), c_fconj)), hAPP(hAPP(c_COMBC(_u12400, tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_fun(tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), _u12400), c_COMBC(_u12401, tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_prod(_u12400, _u12401)), tc_fun(_u12401, tc_fun(tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_HOL_Obool)), _u12400), hAPP(c_COMBB(tc_prod(_u12400, _u12401), tc_fun(tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_HOL_Obool), _u12401), c_member(tc_prod(_u12400, _u12401)))), c_Product__Type_OPair(_u12400, _u12401)))), _u12403))))), hAPP(hAPP(c_COMBC(_u12402, tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_fun(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), _u12402), c_COMBC(_u12401, tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_prod(_u12401, _u12402)), tc_fun(_u12401, tc_fun(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_HOL_Obool)), _u12402), hAPP(c_COMBB(tc_prod(_u12401, _u12402), tc_fun(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_HOL_Obool), _u12401), c_member(tc_prod(_u12401, _u12402)))), hAPP(c_COMBC(_u12401, _u12402, tc_prod(_u12401, _u12402)), c_Product__Type_OPair(_u12401, _u12402))))), _u12404)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12405, _u12406)), hAPP(hAPP(c_Product__Type_OPair(_u12405, _u12406), _u12407), _u12408)), _u12409)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12406, _u12410)), hAPP(hAPP(c_Product__Type_OPair(_u12406, _u12410), _u12408), _u12411)), _u12412)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12405, _u12410)), hAPP(hAPP(c_Product__Type_OPair(_u12405, _u12410), _u12407), _u12411)), hAPP(hAPP(c_Relation_Orel__comp(_u12405, _u12406, _u12410), _u12409), _u12412))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12413, _u12414, _u12415), _u12416), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12417, tc_fun(tc_prod(_u12414, _u12415), tc_HOL_Obool)), _u12418), _u12419)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12417, tc_fun(tc_prod(_u12413, _u12415), tc_HOL_Obool)), _u12418), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12414, _u12415), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12415), tc_HOL_Obool), _u12417), hAPP(c_Relation_Orel__comp(_u12413, _u12414, _u12415), _u12416)), _u12419))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12420, _u12421, _u12422), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12423, tc_fun(tc_prod(_u12420, _u12421), tc_HOL_Obool)), _u12424), _u12425)), _u12426) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12423, tc_fun(tc_prod(_u12420, _u12422), tc_HOL_Obool)), _u12424), hAPP(hAPP(c_COMBC(_u12423, tc_fun(tc_prod(_u12421, _u12422), tc_HOL_Obool), tc_fun(tc_prod(_u12420, _u12422), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12420, _u12421), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12421, _u12422), tc_HOL_Obool), tc_fun(tc_prod(_u12420, _u12422), tc_HOL_Obool)), _u12423), c_Relation_Orel__comp(_u12420, _u12421, _u12422)), _u12425)), _u12426))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12427, _u12428, _u12429), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12427, _u12428), tc_HOL_Obool))), _u12430) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12427, _u12429), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12431, _u12432, _u12433), _u12434), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12432, _u12433), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12431, _u12433), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12435, _u12436, _u12437), _u12438), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12436, _u12437), tc_HOL_Obool)), _u12439), _u12440)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12435, _u12437), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12435, _u12436, _u12437), _u12438), _u12439)), hAPP(hAPP(c_Relation_Orel__comp(_u12435, _u12436, _u12437), _u12438), _u12440))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12441, _u12442, _u12443), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12441, _u12442), tc_HOL_Obool)), _u12444), _u12445)), _u12446) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12441, _u12443), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12441, _u12442, _u12443), _u12444), _u12446)), hAPP(hAPP(c_Relation_Orel__comp(_u12441, _u12442, _u12443), _u12445), _u12446))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12447, _u12448), tc_HOL_Obool)), _u12449), _u12450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12448, _u12451), tc_HOL_Obool)), _u12452), _u12453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12447, _u12451), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12447, _u12448, _u12451), _u12449), _u12452)), hAPP(hAPP(c_Relation_Orel__comp(_u12447, _u12448, _u12451), _u12450), _u12453))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12454, _u12455, _u12456), hAPP(hAPP(c_Relation_Orel__comp(_u12454, _u12457, _u12455), _u12458), _u12459)), _u12460) = hAPP(hAPP(c_Relation_Orel__comp(_u12454, _u12457, _u12456), _u12458), hAPP(hAPP(c_Relation_Orel__comp(_u12457, _u12455, _u12456), _u12459), _u12460))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12461, _u12461, _u12461), _u12462), _u12463) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12461, _u12461), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12461, _u12461, _u12461), _u12464), _u12463) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12461, _u12461), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12461, _u12461, _u12461), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12461, _u12461), tc_HOL_Obool)), _u12462), _u12464)), _u12463) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12461, _u12461), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12465, _u12465, _u12465), _u12466), _u12467) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12465, _u12465), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12465, _u12465, _u12465), _u12466), _u12468) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12465, _u12465), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12465, _u12465, _u12465), _u12466), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12465, _u12465), tc_HOL_Obool)), _u12467), _u12468)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12465, _u12465), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12469, _u12469), tc_HOL_Obool)), _u12470), _u12471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12469, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12469, _u12471)), c_Wellfounded_Oacc(_u12469, _u12470))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12477), _u12479), c_Wellfounded_Oacc(_u12477, _u12481))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12477, _u12477)), hAPP(hAPP(c_Product__Type_OPair(_u12477, _u12477), _u12472), _u12479)), _u12481)) | hBOOL(hAPP(hAPP(c_member(_u12477), _u12472), c_Wellfounded_Oacc(_u12477, _u12481))) )).
% 12.17/12.41 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12478), _u12480), c_Wellfounded_Oacc(_u12478, _u12482))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12478, _u12478)), hAPP(hAPP(c_Product__Type_OPair(_u12478, _u12478), skolem296(_u12482, _u12480, _u12478)), _u12480)), _u12482)) )).
% 12.17/12.41 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12478), _u12480), c_Wellfounded_Oacc(_u12478, _u12482))) | ~hBOOL(hAPP(hAPP(c_member(_u12478), skolem296(_u12482, _u12480, _u12478)), c_Wellfounded_Oacc(_u12478, _u12482))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12483), _u12484), c_Wellfounded_Oacc(_u12483, _u12485))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12483, _u12483)), hAPP(hAPP(c_Product__Type_OPair(_u12483, _u12483), _u12486), _u12484)), _u12485)) | hBOOL(hAPP(hAPP(c_member(_u12483), _u12486), c_Wellfounded_Oacc(_u12483, _u12485))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12487, _u12487), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12487, _u12487, _u12487), _u12488), _u12489)), _u12488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12487, _u12488)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12487, _u12489)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12487, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12487, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12487, _u12488))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12490, _u12490), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12490, _u12490, _u12490), _u12491), _u12492)), _u12491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12490, _u12491)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12490, _u12492)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12490, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12490, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12490, _u12491))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u12493, _u12494, _u12495, _u12496, _u12497) | ( hAPP(c_Set_Oimage(_u12494, _u12493, _u12496), _u12497) = c_Orderings_Otop__class_Otop(tc_fun(_u12493, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u12498, _u12499, _u12500, _u12501, _u12502) | ( hAPP(c_Set_Oimage(_u12498, _u12499, _u12500), c_Orderings_Otop__class_Otop(tc_fun(_u12498, tc_HOL_Obool))) = _u12502) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u12503, _u12504, _u12505, _u12506, _u12507) | ~hBOOL(hAPP(hAPP(c_member(_u12504), _u12508), _u12507)) | ~hBOOL(hAPP(hAPP(c_member(_u12504), _u12509), _u12507)) | ( hAPP(_u12506, _u12508) != hAPP(_u12506, _u12509)) | ( _u12508 = _u12509) )).
% 12.17/12.41 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u12503, _u12504, _u12505, _u12506, _u12507) | ~hBOOL(hAPP(hAPP(c_member(_u12504), _u12508), _u12507)) | ~hBOOL(hAPP(hAPP(c_member(_u12504), _u12509), _u12507)) | ( _u12508 != _u12509) | ( hAPP(_u12506, _u12508) = hAPP(_u12506, _u12509)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u12510, _u12511, _u12512, _u12513, _u12514) | ( hAPP(_u12512, _u12515) != hAPP(_u12512, _u12516)) | ( _u12515 = _u12516) )).
% 12.17/12.41 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u12510, _u12511, _u12512, _u12513, _u12514) | ( _u12515 != _u12516) | ( hAPP(_u12512, _u12515) = hAPP(_u12512, _u12516)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u12520, hAPP(_u12519, _u12522)) = _u12522) | ~c_Typedef_Otype__definition(_u12517, _u12518, _u12519, _u12520, _u12521) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12524), hAPP(_u12525, _u12528)), _u12527)) | ~c_Typedef_Otype__definition(_u12523, _u12524, _u12525, _u12526, _u12527) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12530), _u12534), _u12533)) | ( hAPP(_u12531, hAPP(_u12532, _u12534)) = _u12534) | ~c_Typedef_Otype__definition(_u12529, _u12530, _u12531, _u12532, _u12533) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12542, _u12544, _u12546, hAPP(hAPP(c_COMBC(_u12542, tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_fun(_u12544, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12544, tc_fun(tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_fun(_u12544, tc_HOL_Obool)), _u12542), c_COMBC(_u12544, tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12544, tc_prod(_u12542, _u12544)), tc_fun(_u12544, tc_fun(tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_HOL_Obool)), _u12542), hAPP(c_COMBB(tc_prod(_u12542, _u12544), tc_fun(tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_HOL_Obool), _u12544), c_member(tc_prod(_u12542, _u12544)))), c_Product__Type_OPair(_u12542, _u12544)))), _u12548), hAPP(hAPP(c_COMBC(_u12544, tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_fun(_u12546, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12546, tc_fun(tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_fun(_u12546, tc_HOL_Obool)), _u12544), c_COMBC(_u12546, tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12546, tc_prod(_u12544, _u12546)), tc_fun(_u12546, tc_fun(tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_HOL_Obool)), _u12544), hAPP(c_COMBB(tc_prod(_u12544, _u12546), tc_fun(tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_HOL_Obool), _u12546), c_member(tc_prod(_u12544, _u12546)))), c_Product__Type_OPair(_u12544, _u12546)))), _u12550)), _u12552), _u12554)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12546)), hAPP(hAPP(c_Product__Type_OPair(_u12542, _u12546), _u12552), _u12554)), hAPP(hAPP(c_Relation_Orel__comp(_u12542, _u12544, _u12546), _u12548), _u12550))) )).
% 12.17/12.41 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12543, _u12547)), hAPP(hAPP(c_Product__Type_OPair(_u12543, _u12547), _u12553), _u12555)), hAPP(hAPP(c_Relation_Orel__comp(_u12543, _u12545, _u12547), _u12549), _u12551))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12543, _u12545, _u12547, hAPP(hAPP(c_COMBC(_u12543, tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_fun(_u12545, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12545, tc_fun(tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_fun(_u12545, tc_HOL_Obool)), _u12543), c_COMBC(_u12545, tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12545, tc_prod(_u12543, _u12545)), tc_fun(_u12545, tc_fun(tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_HOL_Obool)), _u12543), hAPP(c_COMBB(tc_prod(_u12543, _u12545), tc_fun(tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_HOL_Obool), _u12545), c_member(tc_prod(_u12543, _u12545)))), c_Product__Type_OPair(_u12543, _u12545)))), _u12549), hAPP(hAPP(c_COMBC(_u12545, tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_fun(_u12547, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12547, tc_fun(tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_fun(_u12547, tc_HOL_Obool)), _u12545), c_COMBC(_u12547, tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12547, tc_prod(_u12545, _u12547)), tc_fun(_u12547, tc_fun(tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_HOL_Obool)), _u12545), hAPP(c_COMBB(tc_prod(_u12545, _u12547), tc_fun(tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_HOL_Obool), _u12547), c_member(tc_prod(_u12545, _u12547)))), c_Product__Type_OPair(_u12545, _u12547)))), _u12551)), _u12553), _u12555)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u12556, _u12557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12556, _u12556), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12556, _u12556, _u12556), _u12557), _u12558)), _u12557)) | c_FunDef_Oreduction__pair(_u12556, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12556, _u12556), tc_HOL_Obool), tc_fun(tc_prod(_u12556, _u12556), tc_HOL_Obool)), _u12557), _u12558)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12567), _u12571)) )).
% 12.17/12.41 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12567), _u12573)) )).
% 12.17/12.41 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | ( _u12573 != c_Orderings_Obot__class_Obot(tc_fun(_u12567, tc_HOL_Obool))) )).
% 12.17/12.41 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | ~hBOOL(hAPP(hAPP(c_member(_u12567), _u12560), _u12571)) | hBOOL(hAPP(hAPP(c_member(_u12567), skolem297(_u12573, _u12571, _u12569, _u12567, _u12560)), _u12573)) )).
% 12.17/12.41 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | ~hBOOL(hAPP(hAPP(c_member(_u12567), _u12560), _u12571)) | hBOOL(hAPP(hAPP(_u12569, _u12560), skolem297(_u12573, _u12571, _u12569, _u12567, _u12560))) )).
% 12.17/12.41 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u12568, _u12570, _u12572, _u12574) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12574)) | ( _u12574 = c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12568), skolem298(_u12574, _u12572, _u12570, _u12568)), _u12572)) )).
% 12.17/12.41 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u12568, _u12570, _u12572, _u12574) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12574)) | ( _u12574 = c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12568), _u12561), _u12574)) | ~hBOOL(hAPP(hAPP(_u12570, skolem298(_u12574, _u12572, _u12570, _u12568)), _u12561)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12575, _u12576), _u12577)) | ~hBOOL(hAPP(hAPP(_u12578, _u12577), _u12579)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12580, _u12581, _u12582, _u12575, _u12578), _u12576), _u12579)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u12583, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12583, _u12583), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u12584, _u12585) | c_Wellfounded_Owf(_u12586, hAPP(hAPP(c_Relation_Oinv__image(_u12584, _u12586), _u12585), _u12587)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u12588, _u12589) | ~c_Wellfounded_Owf(_u12590, _u12591) | c_Wellfounded_Owf(tc_prod(_u12588, _u12590), c_Wellfounded_Olex__prod(_u12588, _u12590, _u12589, _u12591)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u12592, hAPP(c_Wellfounded_Omeasure(_u12592), _u12593)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u12596, _u12598) | c_Wellfounded_Owf(_u12596, hAPP(hAPP(c_Relation_Orel__comp(_u12596, _u12596, _u12596), _u12598), _u12598)) )).
% 12.17/12.41 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u12597, hAPP(hAPP(c_Relation_Orel__comp(_u12597, _u12597, _u12597), _u12599), _u12599)) | c_Wellfounded_Owf(_u12597, _u12599) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u12600, _u12601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12600, _u12600), tc_HOL_Obool)), _u12602), _u12601)) | c_Wellfounded_Owf(_u12600, _u12602) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u12603, _u12604) | c_Wellfounded_Owf(tc_fun(_u12603, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12603, _u12604)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 12.17/12.41 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)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u12605, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u12605)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_pred__comp_Oequations-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12615, _u12617, _u12619, _u12621, _u12623), _u12625), _u12627)) | hBOOL(hAPP(hAPP(_u12621, _u12625), skolem299(_u12627, _u12625, _u12623, _u12621))) )).
% 12.17/12.41 cnf(fact_pred__comp_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12615, _u12617, _u12619, _u12621, _u12623), _u12625), _u12627)) | hBOOL(hAPP(hAPP(_u12623, skolem299(_u12627, _u12625, _u12623, _u12621)), _u12627)) )).
% 12.17/12.41 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u12622, _u12626), _u12607)) | ~hBOOL(hAPP(hAPP(_u12624, _u12607), _u12628)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12616, _u12618, _u12620, _u12622, _u12624), _u12626), _u12628)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u12629, _u12630) | c_Wellfounded_Owf(_u12629, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12629, _u12629), tc_HOL_Obool)), _u12631), _u12630)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u12632, _u12633) | c_Wellfounded_Owf(_u12632, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool)), _u12633), _u12634)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u12635, _u12636) | c_Wellfounded_Owf(_u12635, c_Wellfounded_Omlex__prod(_u12635, _u12637, _u12636)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u12638, _u12639) | c_Wellfounded_Owf(tc_fun(_u12638, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u12638, _u12639)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u12640, _u12641) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12640, _u12640)), hAPP(hAPP(c_Product__Type_OPair(_u12640, _u12640), _u12642), _u12642)), _u12641)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u12643, _u12644) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12643, _u12643)), hAPP(hAPP(c_Product__Type_OPair(_u12643, _u12643), _u12645), _u12646)), _u12644)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12643, _u12643)), hAPP(hAPP(c_Product__Type_OPair(_u12643, _u12643), _u12646), _u12645)), _u12644)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u12647, _u12648) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12647, _u12647)), hAPP(hAPP(c_Product__Type_OPair(_u12647, _u12647), _u12649), _u12650)), _u12648)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12647, _u12647)), hAPP(hAPP(c_Product__Type_OPair(_u12647, _u12647), _u12650), _u12649)), _u12648)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u12651, _u12652) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12651, _u12651)), hAPP(hAPP(c_Product__Type_OPair(_u12651, _u12651), _u12653), _u12653)), _u12652)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u12654)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u12655)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u12660, _u12662) | hBOOL(hAPP(hAPP(c_member(_u12660), _u12656), c_Wellfounded_Oacc(_u12660, _u12662))) )).
% 12.17/12.41 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12661), skolem300(_u12663, _u12661)), c_Wellfounded_Oacc(_u12661, _u12663))) | c_Wellfounded_Owf(_u12661, _u12663) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u12664, _u12665) | hBOOL(hAPP(hAPP(c_member(_u12664), _u12666), c_Wellfounded_Oacc(_u12664, _u12665))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12667, _u12667, _u12667), _u12668), _u12668) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12667, _u12667), tc_HOL_Obool))) | c_Wellfounded_Owf(_u12667, _u12668) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u12672, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12672, _u12672), tc_HOL_Obool)), _u12674), _u12676)) | c_Wellfounded_Owf(_u12672, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12672, _u12672), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12672, _u12672), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12672, _u12672, _u12672), _u12674), _u12674)), hAPP(hAPP(c_Relation_Orel__comp(_u12672, _u12672, _u12672), _u12676), _u12674))), _u12676)) )).
% 12.17/12.41 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u12673, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12673, _u12673), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12673, _u12673), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12673, _u12673, _u12673), _u12675), _u12675)), hAPP(hAPP(c_Relation_Orel__comp(_u12673, _u12673, _u12673), _u12677), _u12675))), _u12677)) | c_Wellfounded_Owf(_u12673, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12673, _u12673), tc_HOL_Obool)), _u12675), _u12677)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u12684, _u12686) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12684, _u12684)), hAPP(hAPP(c_Product__Type_OPair(_u12684, _u12684), hAPP(_u12679, hAPP(c_Nat_OSuc, skolem301(_u12686, _u12684, _u12679)))), hAPP(_u12679, skolem301(_u12686, _u12684, _u12679)))), _u12686)) )).
% 12.17/12.41 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12685, _u12685)), hAPP(hAPP(c_Product__Type_OPair(_u12685, _u12685), hAPP(skolem302(_u12687, _u12685), hAPP(c_Nat_OSuc, _u12680))), hAPP(skolem302(_u12687, _u12685), _u12680))), _u12687)) | c_Wellfounded_Owf(_u12685, _u12687) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u12688, _u12689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12688, tc_HOL_Obool)), _u12690), hAPP(c_Relation_OImage(_u12688, _u12688, _u12689), _u12690))) | ( _u12690 = c_Orderings_Obot__class_Obot(tc_fun(_u12688, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u12691, _u12692) | ~c_Wellfounded_Owf(_u12691, _u12693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12691, _u12691), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12691, _u12691, _u12691), _u12692), _u12693)), _u12692)) | c_Wellfounded_Owf(_u12691, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12691, _u12691), tc_HOL_Obool)), _u12692), _u12693)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u12694) | c_Wellfounded_Owf(_u12694, hAPP(c_Set_OCollect(tc_prod(_u12694, _u12694)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12694, _u12694, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u12694)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12697, _u12699) | c_Wellfounded_Owf(_u12697, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool), tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), _u12699)) )).
% 12.17/12.41 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u12697, _u12699) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12697, _u12697, _u12697), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool), tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), _u12699)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool), tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), _u12699))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool), tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), _u12699))) )).
% 12.17/12.41 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u12698, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool), tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), _u12700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12698, _u12698, _u12698), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool), tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), _u12700)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool), tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), _u12700))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool), tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), _u12700))) | c_FunDef_Oreduction__pair(_u12698, _u12700) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12701, _u12702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12703), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool), tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12704), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool), tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12702))) | ~c_Wellfounded_Owf(_u12701, _u12704) | c_Wellfounded_Owf(_u12701, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12703), _u12704)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u12705, _u12706) | c_Wellfounded_Owf(tc_List_Olist(_u12705), c_List_Olenlex(_u12705, _u12706)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u12711, hAPP(c_Set_OCollect(tc_prod(_u12711, _u12711)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12711, _u12711, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12711, tc_HOL_Obool), tc_fun(_u12711, tc_HOL_Obool), _u12711), hAPP(c_COMBS(_u12711, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12711), c_fconj), _u12708))), hAPP(hAPP(c_COMBC(_u12711, tc_fun(_u12711, _u12711), tc_fun(_u12711, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12711, tc_HOL_Obool), tc_fun(tc_fun(_u12711, _u12711), tc_fun(_u12711, tc_HOL_Obool)), _u12711), c_COMBB(_u12711, tc_HOL_Obool, _u12711)), c_fequal)), _u12710))))) | hBOOL(hAPP(_u12708, skolem303(_u12711, _u12710, _u12709, _u12708))) )).
% 12.17/12.41 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u12711, hAPP(c_Set_OCollect(tc_prod(_u12711, _u12711)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12711, _u12711, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12711, tc_HOL_Obool), tc_fun(_u12711, tc_HOL_Obool), _u12711), hAPP(c_COMBS(_u12711, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12711), c_fconj), _u12708))), hAPP(hAPP(c_COMBC(_u12711, tc_fun(_u12711, _u12711), tc_fun(_u12711, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12711, tc_HOL_Obool), tc_fun(tc_fun(_u12711, _u12711), tc_fun(_u12711, tc_HOL_Obool)), _u12711), c_COMBB(_u12711, tc_HOL_Obool, _u12711)), c_fequal)), _u12710))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12709, hAPP(_u12710, skolem303(_u12711, _u12710, _u12709, _u12708)))), hAPP(_u12709, skolem303(_u12711, _u12710, _u12709, _u12708)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12714), _u12715)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12714), _u12716)) | ( _u12716 = c_Orderings_Obot__class_Obot(tc_fun(_u12714, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12714, tc_HOL_Obool), tc_fun(_u12714, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12714, tc_HOL_Obool), tc_fun(_u12714, tc_HOL_Obool)), _u12715), _u12716)), c_Wellfounded_Omax__ext(_u12714, _u12717))) | hBOOL(hAPP(hAPP(c_member(_u12714), skolem304(_u12717, _u12716, _u12715, _u12714)), _u12715)) )).
% 12.17/12.41 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12714), _u12715)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12714), _u12716)) | ( _u12716 = c_Orderings_Obot__class_Obot(tc_fun(_u12714, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12714, tc_HOL_Obool), tc_fun(_u12714, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12714, tc_HOL_Obool), tc_fun(_u12714, tc_HOL_Obool)), _u12715), _u12716)), c_Wellfounded_Omax__ext(_u12714, _u12717))) | ~hBOOL(hAPP(hAPP(c_member(_u12714), _u12712), _u12716)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12714, _u12714)), hAPP(hAPP(c_Product__Type_OPair(_u12714, _u12714), skolem304(_u12717, _u12716, _u12715, _u12714)), _u12712)), _u12717)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 12.17/12.41 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)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u12718, _u12719) | c_Wellfounded_Owf(tc_List_Olist(_u12718), c_List_Olex(_u12718, _u12719)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u12720, _u12721) | c_Wellfounded_Owf(tc_List_Olist(_u12720), hAPP(c_List_Olexn(_u12720, _u12721), _u12722)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u12723, _u12724) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u12723), tc_List_Olist(_u12723)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u12723, _u12724))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u12725, _u12726), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u12725), tc_List_Olist(_u12725)), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u12731, _u12729), c_Recdef_Osame__fst(_u12731, _u12729, _u12728, _u12730)) | hBOOL(hAPP(_u12728, skolem305(_u12731, _u12730, _u12729, _u12728))) )).
% 12.17/12.41 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u12731, _u12729), c_Recdef_Osame__fst(_u12731, _u12729, _u12728, _u12730)) | ~c_Wellfounded_Owf(_u12729, hAPP(_u12730, skolem305(_u12731, _u12730, _u12729, _u12728))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u12732) = c_Nitpick_OAbs__Frac(_u12732, 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)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u12733, _u12734), hAPP(c_Set_OCollect(tc_prod(_u12733, _u12734)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12733, _u12734, tc_HOL_Obool), _u12735))) = hAPP(c_Set_OCollect(_u12734), hAPP(hAPP(c_COMBB(tc_fun(_u12733, tc_HOL_Obool), tc_HOL_Obool, _u12734), c_HOL_OEx(_u12733)), hAPP(c_COMBC(_u12733, _u12734, tc_HOL_Obool), _u12735)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12736, _u12737)), hAPP(hAPP(c_Product__Type_OPair(_u12736, _u12737), _u12738), _u12739)), _u12740)) | hBOOL(hAPP(hAPP(c_member(_u12737), _u12739), hAPP(c_Relation_ORange(_u12736, _u12737), _u12740))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u12741, _u12741), c_Relation_OId__on(_u12741, _u12742)) = _u12742) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12743, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12743, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12744, _u12743), _u12745)), hAPP(c_Relation_ORange(_u12744, _u12743), _u12746))), hAPP(c_Relation_ORange(_u12744, _u12743), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12744, _u12743), tc_HOL_Obool)), _u12745), _u12746)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u12747, _u12748), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12747, _u12748), tc_HOL_Obool), _u12749)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12747, _u12748), tc_HOL_Obool), tc_fun(_u12748, tc_HOL_Obool)), _u12749), c_Relation_ORange(_u12747, _u12748))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u12753, _u12755), _u12757) != c_Orderings_Obot__class_Obot(tc_fun(_u12755, tc_HOL_Obool))) | ( _u12757 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12753, _u12755), tc_HOL_Obool))) )).
% 12.17/12.41 cnf(fact_Range__empty__iff-2, axiom, ( ( _u12758 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12754, _u12756), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12754, _u12756), _u12758) = c_Orderings_Obot__class_Obot(tc_fun(_u12756, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u12759, _u12760), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12759, _u12760), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12760, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u12761, _u12762), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12761, _u12762), tc_HOL_Obool)), _u12763), _u12764)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12762, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12761, _u12762), _u12763)), hAPP(c_Relation_ORange(_u12761, _u12762), _u12764))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12765, _u12766)), _u12767)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), hAPP(c_Relation_ORange(_u12765, _u12766), _u12767))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12768, _u12769), _u12769, c_Product__Type_Osnd(_u12768, _u12769)), _u12770) = hAPP(c_Relation_ORange(_u12768, _u12769), _u12770)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12777), _u12779), hAPP(c_Relation_ORange(_u12781, _u12777), _u12783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12781, _u12777)), hAPP(hAPP(c_Product__Type_OPair(_u12781, _u12777), skolem306(_u12783, _u12781, _u12779, _u12777)), _u12779)), _u12783)) )).
% 12.17/12.41 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12782, _u12778)), hAPP(hAPP(c_Product__Type_OPair(_u12782, _u12778), _u12772), _u12780)), _u12784)) | hBOOL(hAPP(hAPP(c_member(_u12778), _u12780), hAPP(c_Relation_ORange(_u12782, _u12778), _u12784))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u12785, _u12786), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12785, _u12786)), hAPP(hAPP(c_Product__Type_OPair(_u12785, _u12786), _u12787), _u12788)), _u12789)) = hAPP(hAPP(c_Set_Oinsert(_u12786), _u12788), hAPP(c_Relation_ORange(_u12785, _u12786), _u12789))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12790, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12791, _u12790), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12791, _u12790), tc_HOL_Obool)), _u12792), _u12793))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12790, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12791, _u12790), _u12792)), hAPP(c_Relation_ORange(_u12791, _u12790), _u12793)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u12794) = c_Nitpick_OAbs__Frac(_u12794, 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)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u12795, _u12796) = c_Nitpick_OAbs__Frac(_u12795, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u12796), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12801, _u12803, hAPP(hAPP(c_COMBC(_u12801, tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_fun(_u12803, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12803, tc_fun(tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_fun(_u12803, tc_HOL_Obool)), _u12801), c_COMBC(_u12803, tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12803, tc_prod(_u12801, _u12803)), tc_fun(_u12803, tc_fun(tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_HOL_Obool)), _u12801), hAPP(c_COMBB(tc_prod(_u12801, _u12803), tc_fun(tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_HOL_Obool), _u12803), c_member(tc_prod(_u12801, _u12803)))), c_Product__Type_OPair(_u12801, _u12803)))), _u12805)), _u12807)) | hBOOL(hAPP(hAPP(c_member(_u12803), _u12807), hAPP(c_Relation_ORange(_u12801, _u12803), _u12805))) )).
% 12.17/12.41 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12804), _u12808), hAPP(c_Relation_ORange(_u12802, _u12804), _u12806))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12802, _u12804, hAPP(hAPP(c_COMBC(_u12802, tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_fun(_u12804, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12804, tc_fun(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_fun(_u12804, tc_HOL_Obool)), _u12802), c_COMBC(_u12804, tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12804, tc_prod(_u12802, _u12804)), tc_fun(_u12804, tc_fun(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_HOL_Obool)), _u12802), hAPP(c_COMBB(tc_prod(_u12802, _u12804), tc_fun(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_HOL_Obool), _u12804), c_member(tc_prod(_u12802, _u12804)))), c_Product__Type_OPair(_u12802, _u12804)))), _u12806)), _u12808)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12809, _u12810), _u12811)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12812, _u12813, _u12809), _u12811)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u12824, skolem307(_u12826, _u12824)), _u12826)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12820, _u12822, _u12824), _u12826)) )).
% 12.17/12.41 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u12825, _u12815), _u12827)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12821, _u12823, _u12825), _u12827)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u12828), _u12829), _u12830) = c_Nitpick_OAbs__Frac(_u12828, c_Nitpick_Onorm__frac(_u12829, _u12830))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12832), _u12833), hAPP(c_Relation_ORange(_u12834, _u12832), _u12835))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12834, _u12832)), hAPP(hAPP(c_Product__Type_OPair(_u12834, _u12832), skolem308(_u12835, _u12834, _u12833, _u12832)), _u12833)), _u12835)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u12836, _u12837) | ~c_Wellfounded_Owf(_u12836, _u12838) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12836, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12836, _u12836), _u12837)), hAPP(c_Relation_ORange(_u12836, _u12836), _u12838)) != c_Orderings_Obot__class_Obot(tc_fun(_u12836, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12836, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12836, _u12836), tc_HOL_Obool)), _u12837), _u12838)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12839, _u12840)), hAPP(hAPP(c_Product__Type_OPair(_u12839, _u12840), _u12841), _u12842)), _u12843)) | hBOOL(hAPP(hAPP(c_member(_u12839), _u12841), hAPP(c_Relation_ODomain(_u12839, _u12840), _u12843))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12844, _u12844), c_Relation_OId__on(_u12844, _u12845)) = _u12845) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12849, _u12851), _u12853) != c_Orderings_Obot__class_Obot(tc_fun(_u12849, tc_HOL_Obool))) | ( _u12853 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12849, _u12851), tc_HOL_Obool))) )).
% 12.17/12.41 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u12854 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12850, _u12852), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u12850, _u12852), _u12854) = c_Orderings_Obot__class_Obot(tc_fun(_u12850, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12855, _u12856), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12855, _u12856), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12855, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12857, _u12858), tc_HOL_Obool)), _u12859), _u12860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12857, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12857, _u12858), _u12859)), hAPP(c_Relation_ODomain(_u12857, _u12858), _u12860))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12861, _u12862), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12861, _u12862), tc_HOL_Obool)), _u12863), _u12864)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12861, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12861, _u12862), _u12863)), hAPP(c_Relation_ODomain(_u12861, _u12862), _u12864))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12865, _u12866)), _u12867)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12865), hAPP(c_Relation_ODomain(_u12865, _u12866), _u12867))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12868, _u12869), _u12868, c_Product__Type_Ofst(_u12868, _u12869)), _u12870) = hAPP(c_Relation_ODomain(_u12868, _u12869), _u12870)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12877), _u12879), hAPP(c_Relation_ODomain(_u12877, _u12881), _u12883))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12877, _u12881)), hAPP(hAPP(c_Product__Type_OPair(_u12877, _u12881), _u12879), skolem309(_u12883, _u12881, _u12879, _u12877))), _u12883)) )).
% 12.17/12.41 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12878, _u12882)), hAPP(hAPP(c_Product__Type_OPair(_u12878, _u12882), _u12880), _u12872)), _u12884)) | hBOOL(hAPP(hAPP(c_member(_u12878), _u12880), hAPP(c_Relation_ODomain(_u12878, _u12882), _u12884))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12885, _u12886), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12885, _u12886)), hAPP(hAPP(c_Product__Type_OPair(_u12885, _u12886), _u12887), _u12888)), _u12889)) = hAPP(hAPP(c_Set_Oinsert(_u12885), _u12887), hAPP(c_Relation_ODomain(_u12885, _u12886), _u12889))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12890, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12890, _u12891), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool)), _u12892), _u12893))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12890, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12890, _u12891), _u12892)), hAPP(c_Relation_ODomain(_u12890, _u12891), _u12893)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12894, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12894, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12894, _u12895), _u12896)), hAPP(c_Relation_ODomain(_u12894, _u12895), _u12897))), hAPP(c_Relation_ODomain(_u12894, _u12895), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12894, _u12895), tc_HOL_Obool)), _u12896), _u12897)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u12898), _u12899) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12898, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12898, _u12898), _u12899)), hAPP(c_Relation_ORange(_u12898, _u12898), _u12899))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12900, _u12901), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12900, _u12901), tc_HOL_Obool), _u12902)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12900, _u12901), tc_HOL_Obool), tc_fun(_u12900, tc_HOL_Obool)), _u12902), c_Relation_ODomain(_u12900, _u12901))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12903, _u12904), hAPP(c_Set_OCollect(tc_prod(_u12903, _u12904)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12903, _u12904, tc_HOL_Obool), _u12905))) = hAPP(c_Set_OCollect(_u12903), hAPP(hAPP(c_COMBB(tc_fun(_u12904, tc_HOL_Obool), tc_HOL_Obool, _u12903), c_HOL_OEx(_u12904)), _u12905))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u12910, _u12912, 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)))), _u12914)), _u12916)) | hBOOL(hAPP(hAPP(c_member(_u12910), _u12916), hAPP(c_Relation_ODomain(_u12910, _u12912), _u12914))) )).
% 12.17/12.41 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12911), _u12917), hAPP(c_Relation_ODomain(_u12911, _u12913), _u12915))) | hBOOL(hAPP(c_Predicate_ODomainP(_u12911, _u12913, 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)))), _u12915)), _u12917)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12919), _u12920), hAPP(c_Relation_ODomain(_u12919, _u12921), _u12922))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12919, _u12921)), hAPP(hAPP(c_Product__Type_OPair(_u12919, _u12921), _u12920), skolem310(_u12922, _u12921, _u12920, _u12919))), _u12922)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u12923, tc_prod(_u12924, _u12925), hAPP(hAPP(c_COMBS(_u12923, _u12925, tc_prod(_u12924, _u12925)), hAPP(hAPP(c_COMBB(_u12924, tc_fun(_u12925, tc_prod(_u12924, _u12925)), _u12923), c_Product__Type_OPair(_u12924, _u12925)), _u12926)), _u12927)), _u12928) = hAPP(hAPP(c_Product__Type_OSigma(_u12924, _u12925), hAPP(c_Set_Oimage(_u12923, _u12924, _u12926), _u12928)), hAPP(hAPP(c_COMBB(tc_fun(_u12923, tc_HOL_Obool), tc_fun(_u12925, tc_HOL_Obool), _u12924), c_Set_Oimage(_u12923, _u12925, _u12927)), hAPP(hAPP(c_COMBC(_u12924, tc_fun(_u12923, tc_HOL_Obool), tc_fun(_u12923, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12923, tc_HOL_Obool), tc_fun(tc_fun(_u12923, tc_HOL_Obool), tc_fun(_u12923, tc_HOL_Obool)), _u12924), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12923, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12924, tc_HOL_Obool), tc_fun(_u12923, tc_HOL_Obool), _u12924), c_Set_Ovimage(_u12923, _u12924, _u12926)), hAPP(hAPP(c_COMBC(_u12924, tc_fun(_u12924, tc_HOL_Obool), tc_fun(_u12924, tc_HOL_Obool)), c_Set_Oinsert(_u12924)), c_Orderings_Obot__class_Obot(tc_fun(_u12924, tc_HOL_Obool)))))), _u12928)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12929, _u12930), _u12931)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12932, _u12933, _u12929), _u12930)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12934), _u12935), _u12936)) | ~hBOOL(hAPP(hAPP(c_member(_u12937), _u12938), hAPP(_u12939, _u12935))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12934, _u12937)), hAPP(hAPP(c_Product__Type_OPair(_u12934, _u12937), _u12935), _u12938)), hAPP(hAPP(c_Product__Type_OSigma(_u12934, _u12937), _u12936), _u12939))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12940, _u12941), c_Orderings_Obot__class_Obot(tc_fun(_u12940, tc_HOL_Obool))), _u12942) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12940, _u12941), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12943), _u12944), _u12945)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12946, _u12943), _u12947), hAPP(c_COMBK(tc_fun(_u12943, tc_HOL_Obool), _u12946), _u12945)) != hAPP(hAPP(c_Product__Type_OSigma(_u12946, _u12943), _u12948), hAPP(c_COMBK(tc_fun(_u12943, tc_HOL_Obool), _u12946), _u12945))) | ( _u12947 = _u12948) )).
% 12.17/12.41 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12943), _u12944), _u12945)) | ( _u12947 != _u12948) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12946, _u12943), _u12947), hAPP(c_COMBK(tc_fun(_u12943, tc_HOL_Obool), _u12946), _u12945)) = hAPP(hAPP(c_Product__Type_OSigma(_u12946, _u12943), _u12948), hAPP(c_COMBK(tc_fun(_u12943, tc_HOL_Obool), _u12946), _u12945))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12949, _u12950), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12949, tc_HOL_Obool), _u12951)), _u12952) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12949, tc_HOL_Obool), tc_fun(tc_prod(_u12949, _u12950), tc_HOL_Obool)), _u12951), hAPP(hAPP(c_COMBC(tc_fun(_u12949, tc_HOL_Obool), tc_fun(_u12949, tc_fun(_u12950, tc_HOL_Obool)), tc_fun(tc_prod(_u12949, _u12950), tc_HOL_Obool)), c_Product__Type_OSigma(_u12949, _u12950)), _u12952))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12953, _u12954)), hAPP(hAPP(c_Product__Type_OSigma(_u12953, _u12954), _u12955), hAPP(c_COMBK(tc_fun(_u12954, tc_HOL_Obool), _u12953), _u12956))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12953), _u12955)), hAPP(c_Finite__Set_Ocard(_u12954), _u12956))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12957) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12958, _u12957), hAPP(hAPP(c_COMBC(_u12958, tc_fun(_u12959, tc_HOL_Obool), _u12957), hAPP(hAPP(c_COMBB(tc_fun(_u12959, _u12957), tc_fun(tc_fun(_u12959, tc_HOL_Obool), _u12957), _u12958), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12959, _u12957)), _u12960)), _u12961)), _u12962) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12958, _u12959), _u12957), hAPP(c_Product__Type_Oprod_Oprod__case(_u12958, _u12959, _u12957), _u12960)), hAPP(hAPP(c_Product__Type_OSigma(_u12958, _u12959), _u12962), hAPP(c_COMBK(tc_fun(_u12959, tc_HOL_Obool), _u12958), _u12961)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12967, _u12969), _u12971), hAPP(c_COMBK(tc_fun(_u12969, tc_HOL_Obool), _u12967), _u12973)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12967, _u12969), tc_HOL_Obool))) | ( _u12971 = c_Orderings_Obot__class_Obot(tc_fun(_u12967, tc_HOL_Obool))) | ( _u12973 = c_Orderings_Obot__class_Obot(tc_fun(_u12969, tc_HOL_Obool))) )).
% 12.17/12.41 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12968, _u12970), _u12972), hAPP(c_COMBK(tc_fun(_u12970, tc_HOL_Obool), _u12968), _u12974)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12968, _u12970), tc_HOL_Obool))) | ( _u12972 != c_Orderings_Obot__class_Obot(tc_fun(_u12968, tc_HOL_Obool))) )).
% 12.17/12.41 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12968, _u12970), _u12972), hAPP(c_COMBK(tc_fun(_u12970, tc_HOL_Obool), _u12968), _u12974)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12968, _u12970), tc_HOL_Obool))) | ( _u12974 != c_Orderings_Obot__class_Obot(tc_fun(_u12970, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12975, _u12976), _u12977), hAPP(c_COMBK(tc_fun(_u12976, tc_HOL_Obool), _u12975), c_Orderings_Obot__class_Obot(tc_fun(_u12976, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12975, _u12976), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12978, _u12979), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12978, _u12979), _u12980), hAPP(c_COMBK(tc_fun(_u12979, tc_HOL_Obool), _u12978), c_Orderings_Otop__class_Otop(tc_fun(_u12979, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12978, _u12979), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12978, tc_HOL_Obool)), _u12980)), hAPP(c_COMBK(tc_fun(_u12979, tc_HOL_Obool), _u12978), c_Orderings_Otop__class_Otop(tc_fun(_u12979, tc_HOL_Obool))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12981, _u12982), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12981, _u12982), c_Orderings_Otop__class_Otop(tc_fun(_u12981, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12982, tc_HOL_Obool), _u12981), _u12983))) = hAPP(hAPP(c_Product__Type_OSigma(_u12981, _u12982), c_Orderings_Otop__class_Otop(tc_fun(_u12981, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12982, tc_HOL_Obool), _u12981), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12982, tc_HOL_Obool)), _u12983)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12984) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12985, _u12984), hAPP(hAPP(c_COMBC(_u12985, tc_fun(_u12986, tc_HOL_Obool), _u12984), hAPP(hAPP(c_COMBB(tc_fun(_u12986, _u12984), tc_fun(tc_fun(_u12986, tc_HOL_Obool), _u12984), _u12985), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12986, _u12984)), _u12987)), _u12988)), _u12989) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12985, _u12986), _u12984), hAPP(c_Product__Type_Oprod_Oprod__case(_u12985, _u12986, _u12984), _u12987)), hAPP(hAPP(c_Product__Type_OSigma(_u12985, _u12986), _u12989), hAPP(c_COMBK(tc_fun(_u12986, tc_HOL_Obool), _u12985), _u12988)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12991), _u12992), hAPP(hAPP(c_COMBS(_u12990, tc_fun(_u12991, tc_HOL_Obool), tc_fun(_u12991, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12991, tc_HOL_Obool), tc_fun(tc_fun(_u12991, tc_HOL_Obool), tc_fun(_u12991, tc_HOL_Obool)), _u12990), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12991, tc_HOL_Obool))), _u12993)), _u12994)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12990, _u12991), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12991), _u12992), _u12993)), hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12991), _u12992), _u12994))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12995, _u12996), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12995, tc_HOL_Obool)), _u12997), _u12998)), hAPP(c_COMBK(tc_fun(_u12996, tc_HOL_Obool), _u12995), _u12999)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12995, _u12996), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12995, _u12996), _u12997), hAPP(c_COMBK(tc_fun(_u12996, tc_HOL_Obool), _u12995), _u12999))), hAPP(hAPP(c_Product__Type_OSigma(_u12995, _u12996), _u12998), hAPP(c_COMBK(tc_fun(_u12996, tc_HOL_Obool), _u12995), _u12999)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13000, tc_HOL_Obool)), _u13002), _u13003)), _u13004) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), _u13002), _u13004)), hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), _u13003), _u13004))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13005, _u13006), tc_HOL_Obool)), _u13007), hAPP(hAPP(c_Product__Type_OSigma(_u13005, _u13006), _u13008), hAPP(c_COMBK(tc_fun(_u13006, tc_HOL_Obool), _u13005), _u13009)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13006, _u13010), tc_HOL_Obool)), _u13011), hAPP(hAPP(c_Product__Type_OSigma(_u13006, _u13010), _u13009), hAPP(c_COMBK(tc_fun(_u13010, tc_HOL_Obool), _u13006), _u13012)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13005, _u13010), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13005, _u13006, _u13010), _u13007), _u13011)), hAPP(hAPP(c_Product__Type_OSigma(_u13005, _u13010), _u13008), hAPP(c_COMBK(tc_fun(_u13010, tc_HOL_Obool), _u13005), _u13012)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13013, _u13014), tc_prod(_u13014, _u13013), hAPP(c_Product__Type_Oprod_Oprod__case(_u13013, _u13014, tc_prod(_u13014, _u13013)), hAPP(c_COMBC(_u13014, _u13013, tc_prod(_u13014, _u13013)), c_Product__Type_OPair(_u13014, _u13013)))), hAPP(hAPP(c_Product__Type_OSigma(_u13013, _u13014), _u13015), hAPP(c_COMBK(tc_fun(_u13014, tc_HOL_Obool), _u13013), _u13016))) = hAPP(hAPP(c_Product__Type_OSigma(_u13014, _u13013), _u13016), hAPP(c_COMBK(tc_fun(_u13013, tc_HOL_Obool), _u13014), _u13015))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13017), _u13018)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13019), _u13020)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13017, _u13019)), hAPP(hAPP(c_Product__Type_OSigma(_u13017, _u13019), _u13018), hAPP(c_COMBK(tc_fun(_u13019, tc_HOL_Obool), _u13017), _u13020)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u13021, _u13022, _u13023) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13021, _u13021), tc_HOL_Obool)), _u13023), hAPP(hAPP(c_Product__Type_OSigma(_u13021, _u13021), _u13022), hAPP(c_COMBK(tc_fun(_u13021, tc_HOL_Obool), _u13021), _u13022)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13025), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13024, tc_HOL_Obool)), _u13026), _u13027)), _u13028) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13024, _u13025), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13025), _u13026), _u13028)), hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13025), _u13027), _u13028))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13029, _u13030), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13029, tc_HOL_Obool)), _u13031), _u13032)), hAPP(c_COMBK(tc_fun(_u13030, tc_HOL_Obool), _u13029), _u13033)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13029, _u13030), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13029, _u13030), _u13031), hAPP(c_COMBK(tc_fun(_u13030, tc_HOL_Obool), _u13029), _u13033))), hAPP(hAPP(c_Product__Type_OSigma(_u13029, _u13030), _u13032), hAPP(c_COMBK(tc_fun(_u13030, tc_HOL_Obool), _u13029), _u13033)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13034, _u13035), _u13036), hAPP(hAPP(c_COMBS(_u13034, tc_fun(_u13035, tc_HOL_Obool), tc_fun(_u13035, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13035, tc_HOL_Obool), tc_fun(tc_fun(_u13035, tc_HOL_Obool), tc_fun(_u13035, tc_HOL_Obool)), _u13034), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13035, tc_HOL_Obool))), _u13037)), _u13038)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13034, _u13035), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13034, _u13035), _u13036), _u13037)), hAPP(hAPP(c_Product__Type_OSigma(_u13034, _u13035), _u13036), _u13038))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13039, _u13039), tc_HOL_Obool)), c_Relation_OId__on(_u13039, _u13040)), hAPP(hAPP(c_Product__Type_OSigma(_u13039, _u13039), _u13040), hAPP(c_COMBK(tc_fun(_u13039, tc_HOL_Obool), _u13039), _u13040)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13041, _u13042), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13041, tc_HOL_Obool)), _u13043), _u13044)), _u13045) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13041, _u13042), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13041, _u13042), _u13043), _u13045)), hAPP(hAPP(c_Product__Type_OSigma(_u13041, _u13042), _u13044), _u13045))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13046, _u13047), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13046, tc_HOL_Obool)), _u13048), _u13049)), hAPP(c_COMBK(tc_fun(_u13047, tc_HOL_Obool), _u13046), _u13050)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13046, _u13047), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13046, _u13047), _u13048), hAPP(c_COMBK(tc_fun(_u13047, tc_HOL_Obool), _u13046), _u13050))), hAPP(hAPP(c_Product__Type_OSigma(_u13046, _u13047), _u13049), hAPP(c_COMBK(tc_fun(_u13047, tc_HOL_Obool), _u13046), _u13050)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13051, _u13052), _u13053), hAPP(hAPP(c_COMBS(_u13051, tc_fun(_u13052, tc_HOL_Obool), tc_fun(_u13052, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13052, tc_HOL_Obool), tc_fun(tc_fun(_u13052, tc_HOL_Obool), tc_fun(_u13052, tc_HOL_Obool)), _u13051), c_Groups_Ominus__class_Ominus(tc_fun(_u13052, tc_HOL_Obool))), _u13054)), _u13055)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13051, _u13052), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13051, _u13052), _u13053), _u13054)), hAPP(hAPP(c_Product__Type_OSigma(_u13051, _u13052), _u13053), _u13055))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u13066, _u13068), skolem311(_u13068, _u13066))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13062, _u13064, _u13066), _u13068)) )).
% 12.17/12.41 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u13067, _u13069), _u13057)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13063, _u13065, _u13067), _u13069)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13070, _u13071), c_Orderings_Otop__class_Otop(tc_fun(_u13070, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13071, tc_HOL_Obool), _u13070), c_Orderings_Otop__class_Otop(tc_fun(_u13071, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13070, _u13071), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13078, _u13080)), hAPP(hAPP(c_Product__Type_OPair(_u13078, _u13080), _u13082), _u13084)), hAPP(hAPP(c_Product__Type_OSigma(_u13078, _u13080), _u13086), _u13088))) | hBOOL(hAPP(hAPP(c_member(_u13078), _u13082), _u13086)) )).
% 12.17/12.41 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13078, _u13080)), hAPP(hAPP(c_Product__Type_OPair(_u13078, _u13080), _u13082), _u13084)), hAPP(hAPP(c_Product__Type_OSigma(_u13078, _u13080), _u13086), _u13088))) | hBOOL(hAPP(hAPP(c_member(_u13080), _u13084), hAPP(_u13088, _u13082))) )).
% 12.17/12.41 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13079), _u13083), _u13087)) | ~hBOOL(hAPP(hAPP(c_member(_u13081), _u13085), hAPP(_u13089, _u13083))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13079, _u13081)), hAPP(hAPP(c_Product__Type_OPair(_u13079, _u13081), _u13083), _u13085)), hAPP(hAPP(c_Product__Type_OSigma(_u13079, _u13081), _u13087), _u13089))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13090, _u13091)), hAPP(hAPP(c_Product__Type_OPair(_u13090, _u13091), _u13092), _u13093)), hAPP(hAPP(c_Product__Type_OSigma(_u13090, _u13091), _u13094), _u13095))) | hBOOL(hAPP(hAPP(c_member(_u13090), _u13092), _u13094)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13097), _u13099), hAPP(_u13101, _u13098))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13096, _u13097)), hAPP(hAPP(c_Product__Type_OPair(_u13096, _u13097), _u13098), _u13099)), hAPP(hAPP(c_Product__Type_OSigma(_u13096, _u13097), _u13100), _u13101))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13102, _u13103)), hAPP(hAPP(c_Product__Type_OPair(_u13102, _u13103), _u13104), _u13105)), hAPP(hAPP(c_Product__Type_OSigma(_u13102, _u13103), _u13106), _u13107))) | hBOOL(hAPP(hAPP(c_member(_u13102), _u13104), _u13106)) )).
% 12.17/12.41 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13102, _u13103)), hAPP(hAPP(c_Product__Type_OPair(_u13102, _u13103), _u13104), _u13105)), hAPP(hAPP(c_Product__Type_OSigma(_u13102, _u13103), _u13106), _u13107))) | hBOOL(hAPP(hAPP(c_member(_u13103), _u13105), hAPP(_u13107, _u13104))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13108, _u13109)), hAPP(hAPP(c_Product__Type_OSigma(_u13108, _u13109), hAPP(hAPP(c_Set_Oinsert(_u13108), _u13110), c_Orderings_Obot__class_Obot(tc_fun(_u13108, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13109, tc_HOL_Obool), _u13108), _u13111))) = hAPP(c_Finite__Set_Ocard(_u13109), _u13111)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13112), _u13113), _u13114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13115, _u13112), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13115, _u13112), _u13116), hAPP(c_COMBK(tc_fun(_u13112, tc_HOL_Obool), _u13115), _u13114))), hAPP(hAPP(c_Product__Type_OSigma(_u13115, _u13112), _u13117), hAPP(c_COMBK(tc_fun(_u13112, tc_HOL_Obool), _u13115), _u13114)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13115, tc_HOL_Obool)), _u13116), _u13117)) )).
% 12.17/12.41 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13112), _u13113), _u13114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13115, tc_HOL_Obool)), _u13116), _u13117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13115, _u13112), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13115, _u13112), _u13116), hAPP(c_COMBK(tc_fun(_u13112, tc_HOL_Obool), _u13115), _u13114))), hAPP(hAPP(c_Product__Type_OSigma(_u13115, _u13112), _u13117), hAPP(c_COMBK(tc_fun(_u13112, tc_HOL_Obool), _u13115), _u13114)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13118, _u13119), tc_HOL_Obool)), _u13120), hAPP(hAPP(c_Product__Type_OSigma(_u13118, _u13119), _u13121), hAPP(c_COMBK(tc_fun(_u13119, tc_HOL_Obool), _u13118), _u13122)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13119, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13118, _u13119, _u13120), _u13123)), _u13122)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13124, _u13125)), hAPP(hAPP(c_Product__Type_OSigma(_u13124, _u13125), _u13126), hAPP(c_COMBK(tc_fun(_u13125, tc_HOL_Obool), _u13124), _u13127)))) | ( _u13127 = c_Orderings_Obot__class_Obot(tc_fun(_u13125, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13124), _u13126)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13128, _u13129)), hAPP(hAPP(c_Product__Type_OSigma(_u13128, _u13129), _u13130), hAPP(c_COMBK(tc_fun(_u13129, tc_HOL_Obool), _u13128), _u13131)))) | ( _u13130 = c_Orderings_Obot__class_Obot(tc_fun(_u13128, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13129), _u13131)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13132, _u13133)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13132, _u13133, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13132, tc_fun(_u13133, tc_HOL_Obool), tc_fun(_u13133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13133, tc_HOL_Obool), tc_fun(_u13133, tc_HOL_Obool)), _u13132), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13133)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13132), c_fconj), _u13134))), _u13135))) = hAPP(hAPP(c_Product__Type_OSigma(_u13132, _u13133), hAPP(c_Set_OCollect(_u13132), _u13134)), hAPP(c_COMBK(tc_fun(_u13133, tc_HOL_Obool), _u13132), hAPP(c_Set_OCollect(_u13133), _u13135)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13136, _u13137)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13136, _u13137, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13136, tc_fun(_u13137, tc_HOL_Obool), tc_fun(_u13137, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13137, tc_HOL_Obool), tc_fun(_u13137, tc_HOL_Obool)), _u13136), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13137)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13136), c_fconj), _u13138))), _u13139))) = hAPP(hAPP(c_Product__Type_OSigma(_u13136, _u13137), hAPP(c_Set_OCollect(_u13136), _u13138)), hAPP(hAPP(c_COMBB(tc_fun(_u13137, tc_HOL_Obool), tc_fun(_u13137, tc_HOL_Obool), _u13136), c_Set_OCollect(_u13137)), _u13139))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fst__image__times-1, axiom, ( ( _u13144 != c_Orderings_Obot__class_Obot(tc_fun(_u13146, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13148, _u13146), _u13148, c_Product__Type_Ofst(_u13148, _u13146)), hAPP(hAPP(c_Product__Type_OSigma(_u13148, _u13146), _u13150), hAPP(c_COMBK(tc_fun(_u13146, tc_HOL_Obool), _u13148), _u13144))) = c_Orderings_Obot__class_Obot(tc_fun(_u13148, tc_HOL_Obool))) )).
% 12.17/12.41 cnf(fact_fst__image__times-2, axiom, ( ( _u13145 = c_Orderings_Obot__class_Obot(tc_fun(_u13147, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13149, _u13147), _u13149, c_Product__Type_Ofst(_u13149, _u13147)), hAPP(hAPP(c_Product__Type_OSigma(_u13149, _u13147), _u13151), hAPP(c_COMBK(tc_fun(_u13147, tc_HOL_Obool), _u13149), _u13145))) = _u13151) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_snd__image__times-1, axiom, ( ( _u13156 != c_Orderings_Obot__class_Obot(tc_fun(_u13158, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13158, _u13160), _u13160, c_Product__Type_Osnd(_u13158, _u13160)), hAPP(hAPP(c_Product__Type_OSigma(_u13158, _u13160), _u13156), hAPP(c_COMBK(tc_fun(_u13160, tc_HOL_Obool), _u13158), _u13162))) = c_Orderings_Obot__class_Obot(tc_fun(_u13160, tc_HOL_Obool))) )).
% 12.17/12.41 cnf(fact_snd__image__times-2, axiom, ( ( _u13157 = c_Orderings_Obot__class_Obot(tc_fun(_u13159, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13159, _u13161), _u13161, c_Product__Type_Osnd(_u13159, _u13161)), hAPP(hAPP(c_Product__Type_OSigma(_u13159, _u13161), _u13157), hAPP(c_COMBK(tc_fun(_u13161, tc_HOL_Obool), _u13159), _u13163))) = _u13163) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13164, _u13165), hAPP(hAPP(c_Set_Oinsert(_u13164), _u13166), _u13167)), hAPP(c_COMBK(tc_fun(_u13165, tc_HOL_Obool), _u13164), hAPP(hAPP(c_Set_Oinsert(_u13165), _u13168), _u13169))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13164, _u13165)), hAPP(hAPP(c_Product__Type_OPair(_u13164, _u13165), _u13166), _u13168)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13164, _u13165), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13164, _u13165), _u13167), hAPP(c_COMBK(tc_fun(_u13165, tc_HOL_Obool), _u13164), hAPP(hAPP(c_Set_Oinsert(_u13165), _u13168), _u13169)))), hAPP(hAPP(c_Product__Type_OSigma(_u13164, _u13165), hAPP(hAPP(c_Set_Oinsert(_u13164), _u13166), _u13167)), hAPP(c_COMBK(tc_fun(_u13165, tc_HOL_Obool), _u13164), _u13169))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13170, _u13170), tc_HOL_Obool)), _u13172), hAPP(hAPP(c_Product__Type_OSigma(_u13170, _u13170), _u13171), hAPP(c_COMBK(tc_fun(_u13170, tc_HOL_Obool), _u13170), _u13171)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13170, tc_HOL_Obool)), _u13173), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13170), _u13171), _u13172))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13173)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13174, _u13175), tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13174, _u13175), _u13178), hAPP(c_COMBK(tc_fun(_u13175, tc_HOL_Obool), _u13174), _u13179))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13174, _u13175, tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13174, tc_fun(_u13175, tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool))), tc_fun(_u13175, tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool)), tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool)), tc_fun(tc_fun(_u13175, tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool))), tc_fun(_u13175, tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool))), _u13174), c_COMBB(tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool)), tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool), _u13175)), hAPP(hAPP(c_COMBB(tc_fun(_u13176, tc_HOL_Obool), tc_fun(tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool)), tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool)), _u13174), c_Product__Type_OSigma(_u13176, _u13177)), _u13180))), hAPP(hAPP(c_COMBB(tc_fun(_u13177, tc_HOL_Obool), tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool)), _u13175), c_COMBK(tc_fun(_u13177, tc_HOL_Obool), _u13176)), _u13181)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13176, _u13177), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13174, tc_fun(_u13176, tc_HOL_Obool)), _u13178), _u13180)), hAPP(c_COMBK(tc_fun(_u13177, tc_HOL_Obool), _u13176), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13175, tc_fun(_u13177, tc_HOL_Obool)), _u13179), _u13181)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13182, _u13183), _u13184), _u13185) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13182, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), _u13184), hAPP(hAPP(c_COMBS(_u13182, tc_fun(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13183, tc_HOL_Obool), tc_fun(tc_fun(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), _u13182), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), _u13185)), hAPP(hAPP(c_COMBC(_u13182, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13183, tc_fun(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), _u13182), c_COMBC(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13183, tc_prod(_u13182, _u13183)), tc_fun(_u13183, tc_fun(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), _u13182), hAPP(c_COMBB(tc_prod(_u13182, _u13183), tc_fun(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), _u13183), c_Set_Oinsert(tc_prod(_u13182, _u13183)))), c_Product__Type_OPair(_u13182, _u13183)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13186), _u13187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13186, _u13186), tc_HOL_Obool)), _u13188), hAPP(hAPP(c_Product__Type_OSigma(_u13186, _u13186), _u13187), hAPP(c_COMBK(tc_fun(_u13186, tc_HOL_Obool), _u13186), _u13187)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13186, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13186), _u13187), _u13188))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u13189) | ~c_Fun_Oinj__on(tc_prod(_u13190, _u13191), _u13189, hAPP(c_Product__Type_Oprod_Oprod__case(_u13190, _u13191, _u13189), hAPP(hAPP(c_COMBC(_u13190, tc_fun(_u13191, _u13189), tc_fun(_u13191, _u13189)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, _u13189), tc_fun(tc_fun(_u13191, _u13189), tc_fun(_u13191, _u13189)), _u13190), c_COMBB(_u13189, _u13189, _u13191)), hAPP(hAPP(c_COMBB(_u13189, tc_fun(_u13189, _u13189), _u13190), c_Groups_Otimes__class_Otimes(_u13189)), _u13192))), _u13193)), hAPP(hAPP(c_Product__Type_OSigma(_u13190, _u13191), _u13194), hAPP(c_COMBK(tc_fun(_u13191, tc_HOL_Obool), _u13190), _u13195))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13189), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13190, _u13189), _u13192), _u13194)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13191, _u13189), _u13193), _u13195)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13189, _u13189), c_Fun_Oid(_u13189)), hAPP(c_Set_OCollect(_u13189), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_HOL_Obool), tc_HOL_Obool, _u13189), c_HOL_OEx(_u13190)), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool)), tc_fun(_u13190, tc_HOL_Obool), _u13189), hAPP(c_COMBB(tc_fun(_u13191, tc_HOL_Obool), tc_HOL_Obool, _u13190), c_HOL_OEx(_u13191))), hAPP(hAPP(c_COMBC(_u13189, tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool)), tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_fun(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool))), tc_fun(tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool)), tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool))), _u13189), c_COMBS(_u13190, tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_fun(_u13191, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13190, tc_fun(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool))), _u13189), hAPP(c_COMBB(tc_fun(_u13191, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool)), _u13190), c_COMBS(_u13191, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool)), tc_fun(_u13190, tc_fun(_u13191, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13189), hAPP(c_COMBB(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13190), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13191), c_fconj))), hAPP(hAPP(c_COMBC(_u13189, tc_fun(_u13190, tc_fun(_u13191, _u13189)), tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13191, _u13189), tc_fun(_u13191, tc_HOL_Obool)), tc_fun(tc_fun(_u13190, tc_fun(_u13191, _u13189)), tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool))), _u13189), c_COMBB(tc_fun(_u13191, _u13189), tc_fun(_u13191, tc_HOL_Obool), _u13190)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, tc_HOL_Obool), tc_fun(tc_fun(_u13191, _u13189), tc_fun(_u13191, tc_HOL_Obool)), _u13189), c_COMBB(_u13189, tc_HOL_Obool, _u13191)), c_fequal))), hAPP(hAPP(c_COMBC(_u13190, tc_fun(_u13191, _u13189), tc_fun(_u13191, _u13189)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, _u13189), tc_fun(tc_fun(_u13191, _u13189), tc_fun(_u13191, _u13189)), _u13190), c_COMBB(_u13189, _u13189, _u13191)), hAPP(hAPP(c_COMBB(_u13189, tc_fun(_u13189, _u13189), _u13190), c_Groups_Otimes__class_Otimes(_u13189)), _u13192))), _u13193)))))), hAPP(hAPP(c_COMBC(_u13190, tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool)), _u13190), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13191)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13190), c_fconj), hAPP(hAPP(c_COMBC(_u13190, tc_fun(_u13190, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13190)), _u13194)))), hAPP(hAPP(c_COMBC(_u13191, tc_fun(_u13191, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13191)), _u13195)))))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u13197, tc_prod(_u13198, _u13197), skolem312(_u13200, _u13199, _u13198, _u13197), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13198, tc_fun(_u13197, tc_HOL_Obool)), _u13199), _u13200)) )).
% 12.17/12.41 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13198, _u13197), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13197, tc_prod(_u13198, _u13197), skolem312(_u13200, _u13199, _u13198, _u13197)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13198, tc_fun(_u13197, tc_HOL_Obool)), _u13199), _u13200))), hAPP(hAPP(c_Product__Type_OSigma(_u13198, _u13197), _u13199), _u13200))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13203), _u13204)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13202, _u13203, c_Groups_Otimes__class_Otimes(_u13202)), hAPP(hAPP(c_COMBS(_u13203, tc_fun(_u13205, tc_HOL_Obool), _u13202), hAPP(hAPP(c_COMBC(_u13203, _u13202, tc_fun(tc_fun(_u13205, tc_HOL_Obool), _u13202)), hAPP(hAPP(c_COMBB(tc_fun(_u13205, _u13202), tc_fun(_u13202, tc_fun(tc_fun(_u13205, tc_HOL_Obool), _u13202)), _u13203), c_Finite__Set_Ofold__image(_u13202, _u13205, c_Groups_Otimes__class_Otimes(_u13202))), _u13207)), c_Groups_Oone__class_Oone(_u13202))), _u13206)), c_Groups_Oone__class_Oone(_u13202)), _u13204) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13202, tc_prod(_u13203, _u13205), c_Groups_Otimes__class_Otimes(_u13202)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13203, _u13205, _u13202), _u13207)), c_Groups_Oone__class_Oone(_u13202)), hAPP(hAPP(c_Product__Type_OSigma(_u13203, _u13205), _u13204), _u13206))) | hBOOL(hAPP(hAPP(c_member(_u13203), skolem313(_u13207, _u13206, _u13205, _u13204, _u13203, _u13202)), _u13204)) )).
% 12.17/12.41 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13203), _u13204)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13202, _u13203, c_Groups_Otimes__class_Otimes(_u13202)), hAPP(hAPP(c_COMBS(_u13203, tc_fun(_u13205, tc_HOL_Obool), _u13202), hAPP(hAPP(c_COMBC(_u13203, _u13202, tc_fun(tc_fun(_u13205, tc_HOL_Obool), _u13202)), hAPP(hAPP(c_COMBB(tc_fun(_u13205, _u13202), tc_fun(_u13202, tc_fun(tc_fun(_u13205, tc_HOL_Obool), _u13202)), _u13203), c_Finite__Set_Ofold__image(_u13202, _u13205, c_Groups_Otimes__class_Otimes(_u13202))), _u13207)), c_Groups_Oone__class_Oone(_u13202))), _u13206)), c_Groups_Oone__class_Oone(_u13202)), _u13204) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13202, tc_prod(_u13203, _u13205), c_Groups_Otimes__class_Otimes(_u13202)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13203, _u13205, _u13202), _u13207)), c_Groups_Oone__class_Oone(_u13202)), hAPP(hAPP(c_Product__Type_OSigma(_u13203, _u13205), _u13204), _u13206))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13205), hAPP(_u13206, skolem313(_u13207, _u13206, _u13205, _u13204, _u13203, _u13202)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_image__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13208, _u13208, c_Fun_Oid(_u13208)), _u13209) = _u13209) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u13210, _u13210, c_Fun_Oid(_u13210), _u13211) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13212, _u13212, c_Fun_Oid(_u13212)), _u13213) = _u13213) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u13214), _u13215) = _u13215) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_id__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u13216), _u13217) = _u13217) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u13218, _u13218, _u13219, c_Fun_Oid(_u13218)) = c_Fun_Oid(tc_prod(_u13219, _u13218))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u13220, _u13220, _u13221, c_Fun_Oid(_u13220)) = c_Fun_Oid(tc_prod(_u13220, _u13221))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13222, _u13222, c_Fun_Oid(_u13222)), c_Orderings_Otop__class_Otop(tc_fun(_u13222, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13222, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13223, _u13224, tc_prod(_u13223, _u13224)), c_Product__Type_OPair(_u13223, _u13224)) = c_Fun_Oid(tc_prod(_u13223, _u13224))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13225) | ~c_Fun_Oinj__on(_u13226, _u13225, _u13227, _u13228) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13226, _u13225), _u13227), _u13228) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13225, _u13225), c_Fun_Oid(_u13225)), hAPP(c_Set_Oimage(_u13226, _u13225, _u13227), _u13228))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13229) | ~c_Fun_Oinj__on(_u13230, _u13229, _u13231, _u13232) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13230, _u13229), _u13231), _u13232) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13229, _u13229), c_Fun_Oid(_u13229)), hAPP(c_Set_Oimage(_u13230, _u13229, _u13231), _u13232))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13235), _u13236)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13235, _u13234), hAPP(hAPP(c_COMBS(_u13235, tc_fun(_u13237, tc_HOL_Obool), _u13234), hAPP(hAPP(c_COMBB(tc_fun(_u13237, _u13234), tc_fun(tc_fun(_u13237, tc_HOL_Obool), _u13234), _u13235), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13237, _u13234)), _u13239)), _u13238)), _u13236) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13235, _u13237), _u13234), hAPP(c_Product__Type_Oprod_Oprod__case(_u13235, _u13237, _u13234), _u13239)), hAPP(hAPP(c_Product__Type_OSigma(_u13235, _u13237), _u13236), _u13238))) | hBOOL(hAPP(hAPP(c_member(_u13235), skolem314(_u13239, _u13238, _u13237, _u13236, _u13235, _u13234)), _u13236)) )).
% 12.17/12.41 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13235), _u13236)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13235, _u13234), hAPP(hAPP(c_COMBS(_u13235, tc_fun(_u13237, tc_HOL_Obool), _u13234), hAPP(hAPP(c_COMBB(tc_fun(_u13237, _u13234), tc_fun(tc_fun(_u13237, tc_HOL_Obool), _u13234), _u13235), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13237, _u13234)), _u13239)), _u13238)), _u13236) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13235, _u13237), _u13234), hAPP(c_Product__Type_Oprod_Oprod__case(_u13235, _u13237, _u13234), _u13239)), hAPP(hAPP(c_Product__Type_OSigma(_u13235, _u13237), _u13236), _u13238))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13237), hAPP(_u13238, skolem314(_u13239, _u13238, _u13237, _u13236, _u13235, _u13234)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13241) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), _u13243)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13242, _u13241), hAPP(hAPP(c_COMBS(_u13242, tc_fun(_u13244, tc_HOL_Obool), _u13241), hAPP(hAPP(c_COMBB(tc_fun(_u13244, _u13241), tc_fun(tc_fun(_u13244, tc_HOL_Obool), _u13241), _u13242), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13244, _u13241)), _u13246)), _u13245)), _u13243) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13242, _u13244), _u13241), hAPP(c_Product__Type_Oprod_Oprod__case(_u13242, _u13244, _u13241), _u13246)), hAPP(hAPP(c_Product__Type_OSigma(_u13242, _u13244), _u13243), _u13245))) | hBOOL(hAPP(hAPP(c_member(_u13242), skolem315(_u13246, _u13245, _u13244, _u13243, _u13242, _u13241)), _u13243)) )).
% 12.17/12.41 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13241) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), _u13243)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13242, _u13241), hAPP(hAPP(c_COMBS(_u13242, tc_fun(_u13244, tc_HOL_Obool), _u13241), hAPP(hAPP(c_COMBB(tc_fun(_u13244, _u13241), tc_fun(tc_fun(_u13244, tc_HOL_Obool), _u13241), _u13242), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13244, _u13241)), _u13246)), _u13245)), _u13243) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13242, _u13244), _u13241), hAPP(c_Product__Type_Oprod_Oprod__case(_u13242, _u13244, _u13241), _u13246)), hAPP(hAPP(c_Product__Type_OSigma(_u13242, _u13244), _u13243), _u13245))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13244), hAPP(_u13245, skolem315(_u13246, _u13245, _u13244, _u13243, _u13242, _u13241)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13248), _u13249)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13248, _u13250)), hAPP(hAPP(c_Product__Type_OSigma(_u13248, _u13250), _u13249), _u13251)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13248, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13250, tc_HOL_Obool), tc_Nat_Onat, _u13248), c_Finite__Set_Ocard(_u13250)), _u13251)), _u13249)) | hBOOL(hAPP(hAPP(c_member(_u13248), skolem316(_u13251, _u13250, _u13249, _u13248)), _u13249)) )).
% 12.17/12.41 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13248), _u13249)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13248, _u13250)), hAPP(hAPP(c_Product__Type_OSigma(_u13248, _u13250), _u13249), _u13251)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13248, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13250, tc_HOL_Obool), tc_Nat_Onat, _u13248), c_Finite__Set_Ocard(_u13250)), _u13251)), _u13249)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13250), hAPP(_u13251, skolem316(_u13251, _u13250, _u13249, _u13248)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13253), _u13254)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13253, _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13255), _u13254), _u13256))) | hBOOL(hAPP(hAPP(c_member(_u13253), skolem317(_u13256, _u13255, _u13254, _u13253)), _u13254)) )).
% 12.17/12.41 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13253), _u13254)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13253, _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13255), _u13254), _u13256))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13255), hAPP(_u13256, skolem317(_u13256, _u13255, _u13254, _u13253)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13259, _u13260)), _u13261), hAPP(hAPP(c_Product__Type_OSigma(_u13259, _u13260), _u13262), _u13263))) | hBOOL(hAPP(hAPP(c_member(_u13259), skolem318(_u13263, _u13262, _u13261, _u13260, _u13259)), _u13262)) )).
% 12.17/12.41 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13259, _u13260)), _u13261), hAPP(hAPP(c_Product__Type_OSigma(_u13259, _u13260), _u13262), _u13263))) | hBOOL(hAPP(hAPP(c_member(_u13260), skolem319(_u13263, _u13262, _u13261, _u13260, _u13259)), hAPP(_u13263, skolem318(_u13263, _u13262, _u13261, _u13260, _u13259)))) )).
% 12.17/12.41 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13259, _u13260)), _u13261), hAPP(hAPP(c_Product__Type_OSigma(_u13259, _u13260), _u13262), _u13263))) | ( _u13261 = hAPP(hAPP(c_Product__Type_OPair(_u13259, _u13260), skolem318(_u13263, _u13262, _u13261, _u13260, _u13259)), skolem319(_u13263, _u13262, _u13261, _u13260, _u13259))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13264, _u13265, _u13266), c_Orderings_Otop__class_Otop(tc_fun(_u13264, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13265, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13267, _u13268, _u13269), c_Orderings_Otop__class_Otop(tc_fun(_u13267, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13268, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13264, _u13267), tc_prod(_u13265, _u13268), c_Product__Type_Omap__pair(_u13264, _u13265, _u13267, _u13268, _u13266, _u13269)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13264, _u13267), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13265, _u13268), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13270, _u13271)), hAPP(hAPP(c_Product__Type_OPair(_u13270, _u13271), _u13272), _u13273)), _u13274)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13275, _u13276)), hAPP(hAPP(c_Product__Type_OPair(_u13275, _u13276), hAPP(_u13277, _u13272)), hAPP(_u13278, _u13273))), hAPP(c_Set_Oimage(tc_prod(_u13270, _u13271), tc_prod(_u13275, _u13276), c_Product__Type_Omap__pair(_u13270, _u13275, _u13271, _u13276, _u13277, _u13278)), _u13274))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13279, _u13280, _u13281, _u13282, _u13283, _u13284), hAPP(hAPP(c_Product__Type_OPair(_u13279, _u13281), _u13285), _u13286)) = hAPP(hAPP(c_Product__Type_OPair(_u13280, _u13282), hAPP(_u13283, _u13285)), hAPP(_u13284, _u13286))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13287, _u13287, _u13288, _u13288, c_COMBI(_u13287), c_COMBI(_u13288)), _u13289) = _u13289) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u13290, _u13291), hAPP(c_Product__Type_Omap__pair(_u13292, _u13290, _u13293, _u13291, _u13294, _u13295), _u13296)) = hAPP(_u13295, hAPP(c_Product__Type_Osnd(_u13292, _u13293), _u13296))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u13297, _u13298), hAPP(c_Product__Type_Omap__pair(_u13299, _u13297, _u13300, _u13298, _u13301, _u13302), _u13303)) = hAPP(_u13301, hAPP(c_Product__Type_Ofst(_u13299, _u13300), _u13303))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u13304, _u13304, _u13305, _u13305, c_COMBI(_u13304), c_COMBI(_u13305)) = c_Fun_Oid(tc_prod(_u13304, _u13305))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u13306, _u13307, _u13308, _u13309) = c_Product__Type_Omap__pair(_u13308, _u13308, _u13306, _u13307, c_Fun_Oid(_u13308), _u13309)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u13310, _u13311, _u13312, _u13313) = c_Product__Type_Omap__pair(_u13310, _u13311, _u13312, _u13312, _u13313, c_Fun_Oid(_u13312))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u13314, _u13314, _u13315, _u13315, c_Fun_Oid(_u13314), c_Fun_Oid(_u13315)) = c_Fun_Oid(tc_prod(_u13314, _u13315))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u13316, _u13317, _u13318, _u13319, _u13320, _u13321) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13316, _u13318, tc_prod(_u13317, _u13319)), hAPP(hAPP(c_COMBC(_u13316, tc_fun(_u13318, _u13319), tc_fun(_u13318, tc_prod(_u13317, _u13319))), hAPP(hAPP(c_COMBB(tc_fun(_u13319, tc_prod(_u13317, _u13319)), tc_fun(tc_fun(_u13318, _u13319), tc_fun(_u13318, tc_prod(_u13317, _u13319))), _u13316), c_COMBB(_u13319, tc_prod(_u13317, _u13319), _u13318)), hAPP(hAPP(c_COMBB(_u13317, tc_fun(_u13319, tc_prod(_u13317, _u13319)), _u13316), c_Product__Type_OPair(_u13317, _u13319)), _u13320))), _u13321))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u13322, _u13323, _u13324), _u13325) != _u13326) | ( hAPP(c_Set_Oimage(_u13327, _u13328, _u13329), _u13330) != _u13331) | ( hAPP(c_Set_Oimage(tc_prod(_u13322, _u13327), tc_prod(_u13323, _u13328), c_Product__Type_Omap__pair(_u13322, _u13323, _u13327, _u13328, _u13324, _u13329)), hAPP(hAPP(c_Product__Type_OSigma(_u13322, _u13327), _u13325), hAPP(c_COMBK(tc_fun(_u13327, tc_HOL_Obool), _u13322), _u13330))) = hAPP(hAPP(c_Product__Type_OSigma(_u13323, _u13328), _u13326), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13323), _u13331))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u13332, _u13333) | ~c_Fun_Oinj__on(_u13332, _u13334, _u13335, c_Orderings_Otop__class_Otop(tc_fun(_u13332, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13334, hAPP(c_Set_Oimage(tc_prod(_u13332, _u13332), tc_prod(_u13334, _u13334), c_Product__Type_Omap__pair(_u13332, _u13334, _u13332, _u13334, _u13335, _u13335)), _u13333)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13336, _u13337, _u13338, _u13339) | ~c_Fun_Oinj__on(_u13340, _u13341, _u13342, _u13343) | c_Fun_Oinj__on(tc_prod(_u13336, _u13340), tc_prod(_u13337, _u13341), c_Product__Type_Omap__pair(_u13336, _u13337, _u13340, _u13341, _u13338, _u13342), hAPP(hAPP(c_Product__Type_OSigma(_u13336, _u13340), _u13339), hAPP(c_COMBK(tc_fun(_u13340, tc_HOL_Obool), _u13336), _u13343))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13346, _u13347)), _u13348), hAPP(c_Set_Oimage(tc_prod(_u13349, _u13350), tc_prod(_u13346, _u13347), c_Product__Type_Omap__pair(_u13349, _u13346, _u13350, _u13347, _u13351, _u13352)), _u13353))) | ( _u13348 = hAPP(hAPP(c_Product__Type_OPair(_u13346, _u13347), hAPP(_u13351, skolem320(_u13353, _u13352, _u13351, _u13350, _u13349, _u13348, _u13347, _u13346))), hAPP(_u13352, skolem321(_u13353, _u13352, _u13351, _u13350, _u13349, _u13348, _u13347, _u13346)))) )).
% 12.17/12.41 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13346, _u13347)), _u13348), hAPP(c_Set_Oimage(tc_prod(_u13349, _u13350), tc_prod(_u13346, _u13347), c_Product__Type_Omap__pair(_u13349, _u13346, _u13350, _u13347, _u13351, _u13352)), _u13353))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13349, _u13350)), hAPP(hAPP(c_Product__Type_OPair(_u13349, _u13350), skolem320(_u13353, _u13352, _u13351, _u13350, _u13349, _u13348, _u13347, _u13346)), skolem321(_u13353, _u13352, _u13351, _u13350, _u13349, _u13348, _u13347, _u13346))), _u13353)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u13359, _u13361, _u13363) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13359, _u13359), tc_HOL_Obool)), _u13363), hAPP(hAPP(c_Product__Type_OSigma(_u13359, _u13359), _u13361), hAPP(c_COMBK(tc_fun(_u13359, tc_HOL_Obool), _u13359), _u13361)))) )).
% 12.17/12.41 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u13359, _u13361, _u13363) | ~hBOOL(hAPP(hAPP(c_member(_u13359), _u13354), _u13361)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13359, _u13359)), hAPP(hAPP(c_Product__Type_OPair(_u13359, _u13359), _u13354), _u13354)), _u13363)) )).
% 12.17/12.41 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u13360, _u13362, _u13364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13360, _u13360), tc_HOL_Obool)), _u13364), hAPP(hAPP(c_Product__Type_OSigma(_u13360, _u13360), _u13362), hAPP(c_COMBK(tc_fun(_u13360, tc_HOL_Obool), _u13360), _u13362)))) | hBOOL(hAPP(hAPP(c_member(_u13360), skolem322(_u13364, _u13362, _u13360)), _u13362)) )).
% 12.17/12.41 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u13360, _u13362, _u13364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13360, _u13360), tc_HOL_Obool)), _u13364), hAPP(hAPP(c_Product__Type_OSigma(_u13360, _u13360), _u13362), hAPP(c_COMBK(tc_fun(_u13360, tc_HOL_Obool), _u13360), _u13362)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13360, _u13360)), hAPP(hAPP(c_Product__Type_OPair(_u13360, _u13360), skolem322(_u13364, _u13362, _u13360)), skolem322(_u13364, _u13362, _u13360))), _u13364)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u13367, _u13369) | c_Wellfounded_Owf(_u13367, hAPP(c_Set_OCollect(tc_prod(_u13367, _u13367)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13367, _u13367, tc_HOL_Obool), _u13369))) )).
% 12.17/12.41 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u13368, hAPP(c_Set_OCollect(tc_prod(_u13368, _u13368)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13368, _u13368, tc_HOL_Obool), _u13370))) | c_Wellfounded_OwfP(_u13368, _u13370) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u13371, hAPP(c_COMBK(tc_fun(_u13371, tc_HOL_Obool), _u13371), hAPP(c_COMBK(tc_HOL_Obool, _u13371), c_fFalse))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u13372, _u13373, c_Relation_OId__on(_u13372, _u13373)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u13378, _u13380) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13378, _u13380), _u13374)) )).
% 12.17/12.41 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13379, _u13381), skolem323(_u13381, _u13379))) | c_Wellfounded_OwfP(_u13379, _u13381) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u13382, _u13383) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13382, _u13383), _u13384)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u13385, _u13386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13385, tc_fun(_u13385, tc_HOL_Obool))), _u13387), _u13386)) | c_Wellfounded_OwfP(_u13385, _u13387) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u13388, c_Orderings_Obot__class_Obot(tc_fun(_u13388, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13388, _u13388), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u13389, _u13390, _u13391) | ~c_Relation_Orefl__on(_u13389, _u13392, _u13393) | c_Relation_Orefl__on(_u13389, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13389, tc_HOL_Obool)), _u13390), _u13392), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13391), _u13393)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u13394, _u13395, _u13396) | ~c_Relation_Orefl__on(_u13394, _u13397, _u13398) | c_Relation_Orefl__on(_u13394, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13394, tc_HOL_Obool)), _u13395), _u13397), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13394, _u13394), tc_HOL_Obool)), _u13396), _u13398)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u13399, _u13400, _u13401) | ~hBOOL(hAPP(hAPP(c_member(_u13399), _u13402), _u13400)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13399, _u13399)), hAPP(hAPP(c_Product__Type_OPair(_u13399, _u13399), _u13402), _u13402)), _u13401)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u13403, _u13404, _u13405) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13403, _u13403)), hAPP(hAPP(c_Product__Type_OPair(_u13403, _u13403), _u13406), _u13407)), _u13405)) | hBOOL(hAPP(hAPP(c_member(_u13403), _u13406), _u13404)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u13408, _u13409, _u13410) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13408, _u13408)), hAPP(hAPP(c_Product__Type_OPair(_u13408, _u13408), _u13411), _u13412)), _u13410)) | hBOOL(hAPP(hAPP(c_member(_u13408), _u13412), _u13409)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u13413, _u13414) | c_Wellfounded_OwfP(_u13413, c_FunDef_Oin__rel(_u13413, _u13413, _u13414)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u13417, hAPP(hAPP(c_COMBC(_u13417, tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_fun(_u13417, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13417, tc_fun(tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_fun(_u13417, tc_HOL_Obool)), _u13417), c_COMBC(_u13417, tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13417, tc_prod(_u13417, _u13417)), tc_fun(_u13417, tc_fun(tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_HOL_Obool)), _u13417), hAPP(c_COMBB(tc_prod(_u13417, _u13417), tc_fun(tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_HOL_Obool), _u13417), c_member(tc_prod(_u13417, _u13417)))), c_Product__Type_OPair(_u13417, _u13417)))), _u13419)) | c_Wellfounded_Owf(_u13417, _u13419) )).
% 12.17/12.41 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u13418, _u13420) | c_Wellfounded_OwfP(_u13418, hAPP(hAPP(c_COMBC(_u13418, tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_fun(_u13418, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13418, tc_fun(tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_fun(_u13418, tc_HOL_Obool)), _u13418), c_COMBC(_u13418, tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13418, tc_prod(_u13418, _u13418)), tc_fun(_u13418, tc_fun(tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_HOL_Obool)), _u13418), hAPP(c_COMBB(tc_prod(_u13418, _u13418), tc_fun(tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_HOL_Obool), _u13418), c_member(tc_prod(_u13418, _u13418)))), c_Product__Type_OPair(_u13418, _u13418)))), _u13420)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u13423, _u13425) | c_Relation_Orefl__on(_u13423, c_Orderings_Otop__class_Otop(tc_fun(_u13423, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13423, _u13423)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13423, _u13423, tc_HOL_Obool), _u13425))) )).
% 12.17/12.41 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u13424, c_Orderings_Otop__class_Otop(tc_fun(_u13424, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13424, _u13424)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13424, _u13424, tc_HOL_Obool), _u13426))) | c_Predicate_Oreflp(_u13424, _u13426) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13428, _u13428), tc_HOL_Obool)), _u13429), hAPP(hAPP(c_Product__Type_OSigma(_u13428, _u13428), _u13430), hAPP(c_COMBK(tc_fun(_u13428, tc_HOL_Obool), _u13428), _u13430)))) | c_Relation_Orefl__on(_u13428, _u13430, _u13429) | hBOOL(hAPP(hAPP(c_member(_u13428), skolem324(_u13430, _u13429, _u13428)), _u13430)) )).
% 12.17/12.41 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13428, _u13428), tc_HOL_Obool)), _u13429), hAPP(hAPP(c_Product__Type_OSigma(_u13428, _u13428), _u13430), hAPP(c_COMBK(tc_fun(_u13428, tc_HOL_Obool), _u13428), _u13430)))) | c_Relation_Orefl__on(_u13428, _u13430, _u13429) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13428, _u13428)), hAPP(hAPP(c_Product__Type_OPair(_u13428, _u13428), skolem324(_u13430, _u13429, _u13428)), skolem324(_u13430, _u13429, _u13428))), _u13429)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u13431, _u13432) | c_Wellfounded_Oacyclic(_u13431, hAPP(c_Set_OCollect(tc_prod(_u13431, _u13431)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13431, _u13431, tc_HOL_Obool), _u13432))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13433, _u13434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13433, _u13433), tc_HOL_Obool)), _u13435), _u13434)) | c_Wellfounded_Oacyclic(_u13433, _u13435) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u13437, _u13438), _u13438)) | ~c_Predicate_Oreflp(_u13436, _u13437) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u13439, _u13440) | c_Wellfounded_Oacyclic(_u13439, _u13440) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13441, _u13441)), _u13442)) | ~c_Wellfounded_Owf(_u13441, _u13442) | c_Wellfounded_Oacyclic(_u13441, _u13442) )).
% 12.17/12.41 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13441, _u13441)), _u13442)) | ~c_Wellfounded_Oacyclic(_u13441, _u13442) | c_Wellfounded_Owf(_u13441, _u13442) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13443, _u13443)), _u13444)) | ~c_Wellfounded_Oacyclic(_u13443, _u13444) | c_Wellfounded_Owf(_u13443, _u13444) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u13447, _u13449) | c_Wellfounded_Oacyclic(_u13447, _u13449) )).
% 12.17/12.41 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u13447, _u13449) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13447, _u13447)), _u13449)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.17/12.41 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u13448, _u13450) | ~c_Wellfounded_Oacyclic(_u13448, _u13450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13448, _u13448)), _u13450)) )).
% 12.17/12.41 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u13448, _u13450) | ~c_Wellfounded_Oacyclic(_u13448, _u13450) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u13452), c_Int_OInteg)) | ~hBOOL(hAPP(_u13453, hAPP(c_Int_ORep__Integ, skolem325(_u13453, _u13452)))) | hBOOL(hAPP(_u13453, _u13452)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 12.17/12.41 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)), _u13455), c_Int_OInteg)) | ( _u13455 = hAPP(c_Int_ORep__Integ, skolem326(_u13455))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u13463, _u13465, _u13467) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13463, _u13463)), _u13456), _u13467)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13463, _u13463, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13463, tc_fun(_u13463, tc_HOL_Obool), tc_fun(_u13463, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13463, tc_HOL_Obool), tc_fun(_u13463, tc_HOL_Obool)), _u13463), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13463)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13463), c_fconj), hAPP(hAPP(c_COMBC(_u13463, tc_fun(_u13463, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13463)), _u13465)))), hAPP(hAPP(c_COMBC(_u13463, tc_fun(_u13463, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13463)), _u13465))), _u13456)) )).
% 12.17/12.41 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u13463, _u13465, _u13467) | ~hBOOL(hAPP(hAPP(c_member(_u13463), _u13457), _u13465)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13463, _u13463)), hAPP(hAPP(c_Product__Type_OPair(_u13463, _u13463), _u13457), _u13457)), _u13467)) )).
% 12.17/12.41 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u13464, _u13466, _u13468) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13464, _u13464)), skolem327(_u13468, _u13466, _u13464)), _u13468)) | hBOOL(hAPP(hAPP(c_member(_u13464), skolem328(_u13468, _u13466, _u13464)), _u13466)) )).
% 12.17/12.41 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u13464, _u13466, _u13468) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13464, _u13464)), skolem327(_u13468, _u13466, _u13464)), _u13468)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13464, _u13464)), hAPP(hAPP(c_Product__Type_OPair(_u13464, _u13464), skolem328(_u13468, _u13466, _u13464)), skolem328(_u13468, _u13466, _u13464))), _u13468)) )).
% 12.17/12.41 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u13464, _u13466, _u13468) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13464, _u13464, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_fun(_u13464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13464, tc_HOL_Obool), tc_fun(_u13464, tc_HOL_Obool)), _u13464), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13464)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13464), c_fconj), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13464)), _u13466)))), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13464)), _u13466))), skolem327(_u13468, _u13466, _u13464))) | hBOOL(hAPP(hAPP(c_member(_u13464), skolem328(_u13468, _u13466, _u13464)), _u13466)) )).
% 12.17/12.41 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u13464, _u13466, _u13468) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13464, _u13464, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_fun(_u13464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13464, tc_HOL_Obool), tc_fun(_u13464, tc_HOL_Obool)), _u13464), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13464)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13464), c_fconj), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13464)), _u13466)))), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13464)), _u13466))), skolem327(_u13468, _u13466, _u13464))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13464, _u13464)), hAPP(hAPP(c_Product__Type_OPair(_u13464, _u13464), skolem328(_u13468, _u13466, _u13464)), skolem328(_u13468, _u13466, _u13464))), _u13468)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u13470, _u13471)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem329(_u13471, _u13470)), c_Int_OInteg)) )).
% 12.17/12.41 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u13470, _u13471)) | ~hBOOL(hAPP(_u13470, hAPP(c_Int_OAbs__Integ, skolem329(_u13471, _u13470)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u13473 = hAPP(c_Int_OAbs__Integ, skolem330(_u13473))) )).
% 12.17/12.41 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)), skolem330(_u13473)), c_Int_OInteg)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13474, tc_HOL_Obool) = c_Set_OBall(_u13474)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13476), _u13475), c_Orderings_Obot__class_Obot(tc_fun(_u13476, tc_HOL_Obool)))) | hBOOL(hAPP(_u13477, _u13475)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13483, _u13485), _u13487)) | ~hBOOL(hAPP(hAPP(c_member(_u13483), _u13478), _u13487)) | hBOOL(hAPP(_u13485, _u13478)) )).
% 12.17/12.41 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13484, _u13486), _u13488)) | hBOOL(hAPP(hAPP(c_member(_u13484), skolem331(_u13488, _u13486, _u13484)), _u13488)) )).
% 12.17/12.41 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13484, _u13486), _u13488)) | ~hBOOL(hAPP(_u13486, skolem331(_u13488, _u13486, _u13484))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13489), hAPP(hAPP(c_COMBB(tc_fun(_u13490, tc_HOL_Obool), tc_HOL_Obool, _u13489), c_HOL_OAll(_u13490)), hAPP(hAPP(c_COMBB(tc_fun(_u13490, tc_HOL_Obool), tc_fun(_u13490, tc_HOL_Obool), _u13489), hAPP(c_COMBS(_u13490, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13490), c_fimplies), hAPP(hAPP(c_COMBC(_u13490, tc_fun(_u13490, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13490)), _u13491)))), _u13492))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13490, tc_fun(_u13489, tc_HOL_Obool)), _u13491), hAPP(hAPP(c_COMBB(tc_fun(_u13489, tc_HOL_Obool), tc_fun(_u13489, tc_HOL_Obool), _u13490), c_Set_OCollect(_u13489)), hAPP(c_COMBC(_u13489, _u13490, tc_HOL_Obool), _u13492)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u13499, _u13501, _u13503, _u13505) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13499, _u13499)), _u13493), _u13503)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13499, _u13499, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13499, tc_fun(_u13499, _u13501), tc_fun(_u13499, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13501, tc_HOL_Obool), tc_fun(tc_fun(_u13499, _u13501), tc_fun(_u13499, tc_HOL_Obool)), _u13499), c_COMBB(_u13501, tc_HOL_Obool, _u13499)), hAPP(hAPP(c_COMBB(_u13501, tc_fun(_u13501, tc_HOL_Obool), _u13499), c_fequal), _u13505))), _u13505)), _u13493)) )).
% 12.17/12.41 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u13500, _u13502, _u13504, _u13506) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13500, _u13500)), skolem332(_u13506, _u13504, _u13502, _u13500)), _u13504)) )).
% 12.17/12.41 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u13500, _u13502, _u13504, _u13506) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13500, _u13500, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13500, tc_fun(_u13500, _u13502), tc_fun(_u13500, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13502, tc_HOL_Obool), tc_fun(tc_fun(_u13500, _u13502), tc_fun(_u13500, tc_HOL_Obool)), _u13500), c_COMBB(_u13502, tc_HOL_Obool, _u13500)), hAPP(hAPP(c_COMBB(_u13502, tc_fun(_u13502, tc_HOL_Obool), _u13500), c_fequal), _u13506))), _u13506)), skolem332(_u13506, _u13504, _u13502, _u13500))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13507, tc_fun(_u13508, tc_HOL_Obool)), _u13509), _u13510) = hAPP(c_Set_OCollect(_u13508), hAPP(hAPP(c_COMBB(tc_fun(_u13507, tc_HOL_Obool), tc_HOL_Obool, _u13508), c_HOL_OAll(_u13507)), hAPP(hAPP(c_COMBB(tc_fun(_u13507, tc_HOL_Obool), tc_fun(_u13507, tc_HOL_Obool), _u13508), hAPP(c_COMBS(_u13507, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13507), c_fimplies), hAPP(hAPP(c_COMBC(_u13507, tc_fun(_u13507, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13507)), _u13509)))), hAPP(hAPP(c_COMBC(_u13508, tc_fun(_u13507, tc_fun(_u13508, tc_HOL_Obool)), tc_fun(_u13507, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13508, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13507, tc_fun(_u13508, tc_HOL_Obool)), tc_fun(_u13507, tc_HOL_Obool)), _u13508), c_COMBB(tc_fun(_u13508, tc_HOL_Obool), tc_HOL_Obool, _u13507)), c_member(_u13508))), _u13510))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13511) | ( c_Complete__Lattice_OSup__class_OSup(_u13511, _u13512) = c_Complete__Lattice_OInf__class_OInf(_u13511, hAPP(c_Set_OCollect(_u13511), hAPP(hAPP(c_COMBB(tc_fun(_u13511, tc_HOL_Obool), tc_HOL_Obool, _u13511), c_HOL_OAll(_u13511)), hAPP(hAPP(c_COMBB(tc_fun(_u13511, tc_HOL_Obool), tc_fun(_u13511, tc_HOL_Obool), _u13511), hAPP(c_COMBS(_u13511, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13511), c_fimplies), hAPP(hAPP(c_COMBC(_u13511, tc_fun(_u13511, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13511)), _u13512)))), hAPP(c_COMBC(_u13511, _u13511, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13511))))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13513) | ( c_Complete__Lattice_OInf__class_OInf(_u13513, _u13514) = c_Complete__Lattice_OSup__class_OSup(_u13513, hAPP(c_Set_OCollect(_u13513), hAPP(hAPP(c_COMBB(tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool, _u13513), c_HOL_OAll(_u13513)), hAPP(hAPP(c_COMBB(tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool), _u13513), hAPP(c_COMBS(_u13513, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13513), c_fimplies), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13514)))), c_Orderings_Oord__class_Oless__eq(_u13513)))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u13518, hAPP(_u13519, skolem333(_u13520, _u13519, _u13518))) | c_Wellfounded_OwfP(_u13518, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13520, tc_fun(_u13518, tc_fun(_u13518, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13520, tc_HOL_Obool))), _u13519)) | ( hAPP(_u13519, skolem334(_u13520, _u13519, _u13518)) != hAPP(_u13519, skolem335(_u13520, _u13519, _u13518))) )).
% 12.17/12.41 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u13518, hAPP(_u13519, skolem333(_u13520, _u13519, _u13518))) | c_Wellfounded_OwfP(_u13518, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13520, tc_fun(_u13518, tc_fun(_u13518, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13520, tc_HOL_Obool))), _u13519)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13518, tc_HOL_Obool)), c_Predicate_ODomainP(_u13518, _u13518, hAPP(_u13519, skolem334(_u13520, _u13519, _u13518)))), c_Predicate_ORangeP(_u13518, _u13518, hAPP(_u13519, skolem335(_u13520, _u13519, _u13518)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13518, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13526), _u13527), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13524, _u13525, tc_fun(_u13526, tc_HOL_Obool)), _u13528), _u13523))) | ( _u13523 = hAPP(hAPP(c_Product__Type_OPair(_u13524, _u13525), skolem336(_u13528, _u13527, _u13526, _u13525, _u13524, _u13523)), skolem337(_u13528, _u13527, _u13526, _u13525, _u13524, _u13523))) )).
% 12.17/12.41 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13526), _u13527), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13524, _u13525, tc_fun(_u13526, tc_HOL_Obool)), _u13528), _u13523))) | ~hBOOL(hAPP(hAPP(c_member(_u13526), _u13527), hAPP(hAPP(_u13528, skolem336(_u13528, _u13527, _u13526, _u13525, _u13524, _u13523)), skolem337(_u13528, _u13527, _u13526, _u13525, _u13524, _u13523)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13531), _u13532), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13533, _u13534, tc_fun(_u13531, tc_HOL_Obool)), _u13535), _u13536))) | ( _u13536 = hAPP(hAPP(c_Product__Type_OPair(_u13533, _u13534), skolem338(_u13536, _u13535, _u13534, _u13533, _u13532, _u13531)), skolem339(_u13536, _u13535, _u13534, _u13533, _u13532, _u13531))) )).
% 12.17/12.41 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13531), _u13532), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13533, _u13534, tc_fun(_u13531, tc_HOL_Obool)), _u13535), _u13536))) | hBOOL(hAPP(hAPP(c_member(_u13531), _u13532), hAPP(hAPP(_u13535, skolem338(_u13536, _u13535, _u13534, _u13533, _u13532, _u13531)), skolem339(_u13536, _u13535, _u13534, _u13533, _u13532, _u13531)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u13537, tc_HOL_Obool), _u13538) = hAPP(c_Set_OCollect(_u13537), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13537, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u13537), c_HOL_OAll(tc_fun(_u13537, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13537, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13537, tc_HOL_Obool), tc_HOL_Obool), _u13537), hAPP(c_COMBS(tc_fun(_u13537, 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(_u13537, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u13537, tc_HOL_Obool), tc_fun(tc_fun(_u13537, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u13537, tc_HOL_Obool))), _u13538)))), c_member(_u13537))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13539, tc_prod(_u13540, _u13541), _u13542), hAPP(hAPP(c_Product__Type_OSigma(_u13540, _u13541), _u13543), hAPP(c_COMBK(tc_fun(_u13541, tc_HOL_Obool), _u13540), _u13544))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13539, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13539, _u13540, hAPP(c_Fun_Ocomp(tc_prod(_u13540, _u13541), _u13540, _u13539, c_Product__Type_Ofst(_u13540, _u13541)), _u13542)), _u13543)), hAPP(c_Set_Ovimage(_u13539, _u13541, hAPP(c_Fun_Ocomp(tc_prod(_u13540, _u13541), _u13541, _u13539, c_Product__Type_Osnd(_u13540, _u13541)), _u13542)), _u13544))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13545, _u13546), hAPP(c_Product__Type_Oprod_Oprod__case(_u13545, _u13546, tc_HOL_Obool), _u13547)) = c_Hilbert__Choice_OEps(tc_prod(_u13545, _u13546), hAPP(hAPP(c_COMBS(tc_prod(_u13545, _u13546), _u13546, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13545, tc_fun(_u13546, tc_HOL_Obool), tc_prod(_u13545, _u13546)), _u13547), c_Product__Type_Ofst(_u13545, _u13546))), c_Product__Type_Osnd(_u13545, _u13546)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u13549, _u13550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13549, tc_HOL_Obool)), skolem340(_u13550, _u13549)), hAPP(c_Relation_OImage(_u13549, _u13549, _u13550), skolem340(_u13550, _u13549)))) )).
% 12.17/12.41 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u13549, _u13550) | ( skolem340(_u13550, _u13549) != c_Orderings_Obot__class_Obot(tc_fun(_u13549, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_id__o ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13551, _u13551, _u13552, c_Fun_Oid(_u13551)), _u13553) = _u13553) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_o__id ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13554, _u13555, _u13554, _u13556), c_Fun_Oid(_u13554)) = _u13556) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u13560, hAPP(_u13561, _u13563)) = hAPP(_u13562, _u13563)) | ( hAPP(c_Fun_Ocomp(_u13557, _u13558, _u13559, _u13560), _u13561) != hAPP(c_Fun_Ocomp(_u13558, _u13558, _u13559, c_Fun_Oid(_u13558)), _u13562)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13565, _u13565, _u13565, hAPP(_u13566, _u13567)), hAPP(_u13566, _u13567)) = hAPP(_u13566, _u13567)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13564, _u13565, _u13566) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13568, _u13569, _u13570, _u13571), c_Fun_Ofun__upd(_u13570, _u13568, _u13572, _u13573, _u13574)) = c_Fun_Ofun__upd(_u13570, _u13569, hAPP(c_Fun_Ocomp(_u13568, _u13569, _u13570, _u13571), _u13572), _u13573, hAPP(_u13571, _u13574))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13575, _u13576, hAPP(c_Fun_Ocomp(_u13577, _u13576, _u13575, _u13578), _u13579)), _u13580) = hAPP(c_Set_Ovimage(_u13575, _u13577, _u13579), hAPP(c_Set_Ovimage(_u13577, _u13576, _u13578), _u13580))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13581, _u13582, _u13583, _u13584), hAPP(c_Fun_Ocomp(_u13585, _u13581, _u13583, _u13586), _u13587)) = hAPP(c_Fun_Ocomp(_u13585, _u13582, _u13583, hAPP(c_Fun_Ocomp(_u13581, _u13582, _u13585, _u13584), _u13586)), _u13587)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13588, _u13589, _u13590, _u13591), _u13592), _u13593) = hAPP(_u13591, hAPP(_u13592, _u13593))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u13597, hAPP(_u13598, _u13602)) = hAPP(_u13600, hAPP(_u13601, _u13602))) | ( hAPP(c_Fun_Ocomp(_u13594, _u13595, _u13596, _u13597), _u13598) != hAPP(c_Fun_Ocomp(_u13599, _u13595, _u13596, _u13600), _u13601)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u13607, hAPP(_u13608, _u13603)) = hAPP(_u13610, hAPP(_u13611, _u13603))) | ( hAPP(c_Fun_Ocomp(_u13604, _u13605, _u13606, _u13607), _u13608) != hAPP(c_Fun_Ocomp(_u13609, _u13605, _u13606, _u13610), _u13611)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u13613, _u13612)) | hBOOL(hAPP(_u13613, c_Hilbert__Choice_OEps(_u13614, _u13613))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_someI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u13615, _u13616)) | hBOOL(hAPP(_u13615, c_Hilbert__Choice_OEps(_u13617, _u13615))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u13618, hAPP(_u13619, _u13620)) != hAPP(_u13621, hAPP(_u13622, _u13623))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13624, _u13625, _u13626, _u13618), _u13619), _u13620) = hAPP(hAPP(c_Fun_Ocomp(_u13627, _u13625, _u13628, _u13621), _u13622), _u13623)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u13632, hAPP(_u13633, _u13635)) = hAPP(_u13634, _u13635)) | ( hAPP(c_Fun_Ocomp(_u13629, _u13630, _u13631, _u13632), _u13633) != _u13634) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13637, _u13637, _u13637, hAPP(_u13638, _u13639)), hAPP(_u13638, _u13640)) = hAPP(c_Fun_Ocomp(_u13637, _u13637, _u13637, hAPP(_u13638, _u13640)), hAPP(_u13638, _u13639))) | ~c_Finite__Set_Ofun__left__comm(_u13636, _u13637, _u13638) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u13642, _u13641)) | hBOOL(hAPP(_u13642, c_Hilbert__Choice_OEps(_u13643, _u13642))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u13648, c_Hilbert__Choice_OEps(_u13650, _u13648))) | hBOOL(hAPP(_u13648, skolem341(_u13650, _u13648))) )).
% 12.17/12.41 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u13649, _u13645)) | hBOOL(hAPP(_u13649, c_Hilbert__Choice_OEps(_u13651, _u13649))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13652, hAPP(hAPP(c_COMBC(_u13652, _u13652, tc_HOL_Obool), c_fequal), _u13653)) = _u13653) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13654, hAPP(c_fequal, _u13655)) = _u13655) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13656, _u13657, _u13658, hAPP(c_COMBK(_u13657, _u13656), _u13659)), _u13660), _u13661) = _u13659) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_o__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13662, _u13663, _u13664, _u13665), _u13666), _u13667) = hAPP(_u13665, hAPP(_u13666, _u13667))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u13669, _u13668)) | ( _u13670 != c_Hilbert__Choice_OEps(_u13671, _u13669)) | hBOOL(hAPP(_u13669, _u13670)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u13672, _u13673, _u13674, _u13675), hAPP(c_Product__Type_Oapsnd(_u13676, _u13672, _u13674, _u13677), _u13678)) = hAPP(c_Product__Type_Oapsnd(_u13676, _u13673, _u13674, hAPP(c_Fun_Ocomp(_u13672, _u13673, _u13676, _u13675), _u13677)), _u13678)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u13679, _u13680, _u13681, _u13682), hAPP(c_Product__Type_Oapfst(_u13683, _u13679, _u13681, _u13684), _u13685)) = hAPP(c_Product__Type_Oapfst(_u13683, _u13680, _u13681, hAPP(c_Fun_Ocomp(_u13679, _u13680, _u13683, _u13682), _u13684)), _u13685)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u13686, _u13687, hAPP(c_Fun_Ocomp(_u13688, _u13687, _u13686, _u13689), _u13690), _u13691) | c_Fun_Oinj__on(_u13686, _u13688, _u13690, _u13691) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13692, _u13693, _u13694, c_Orderings_Otop__class_Otop(tc_fun(_u13692, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13695, _u13692, _u13696, c_Orderings_Otop__class_Otop(tc_fun(_u13695, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13695, _u13693, hAPP(c_Fun_Ocomp(_u13692, _u13693, _u13695, _u13694), _u13696), c_Orderings_Otop__class_Otop(tc_fun(_u13695, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13697, _u13698, _u13699), c_Orderings_Otop__class_Otop(tc_fun(_u13697, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13698, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13698, _u13700, _u13701), c_Orderings_Otop__class_Otop(tc_fun(_u13698, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13700, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13697, _u13700, hAPP(c_Fun_Ocomp(_u13698, _u13700, _u13697, _u13701), _u13699)), c_Orderings_Otop__class_Otop(tc_fun(_u13697, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13700, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13702, _u13703, _u13704, _u13705) | ~c_Fun_Oinj__on(_u13703, _u13706, _u13707, hAPP(c_Set_Oimage(_u13702, _u13703, _u13704), _u13705)) | c_Fun_Oinj__on(_u13702, _u13706, hAPP(c_Fun_Ocomp(_u13703, _u13706, _u13702, _u13707), _u13704), _u13705) )).
% 12.17/12.41 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13702, _u13703, _u13704, _u13705) | ~c_Fun_Oinj__on(_u13702, _u13706, hAPP(c_Fun_Ocomp(_u13703, _u13706, _u13702, _u13707), _u13704), _u13705) | c_Fun_Oinj__on(_u13703, _u13706, _u13707, hAPP(c_Set_Oimage(_u13702, _u13703, _u13704), _u13705)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13708, _u13709, _u13710, _u13711) | ~c_Fun_Oinj__on(_u13709, _u13712, _u13713, hAPP(c_Set_Oimage(_u13708, _u13709, _u13710), _u13711)) | c_Fun_Oinj__on(_u13708, _u13712, hAPP(c_Fun_Ocomp(_u13709, _u13712, _u13708, _u13713), _u13710), _u13711) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u13714, _u13715, hAPP(c_Fun_Ocomp(_u13716, _u13715, _u13714, _u13717), _u13718), _u13719) | c_Fun_Oinj__on(_u13716, _u13715, _u13717, hAPP(c_Set_Oimage(_u13714, _u13716, _u13718), _u13719)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u13720, _u13721, hAPP(c_Fun_Ocomp(_u13722, _u13721, _u13720, _u13723), _u13724)), _u13725) = hAPP(c_Set_Oimage(_u13722, _u13721, _u13723), hAPP(c_Set_Oimage(_u13720, _u13722, _u13724), _u13725))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13726, _u13727, _u13728, _u13729, _u13730, _u13731), hAPP(c_Product__Type_Omap__pair(_u13732, _u13726, _u13733, _u13728, _u13734, _u13735), _u13736)) = hAPP(c_Product__Type_Omap__pair(_u13732, _u13727, _u13733, _u13729, hAPP(c_Fun_Ocomp(_u13726, _u13727, _u13732, _u13730), _u13734), hAPP(c_Fun_Ocomp(_u13728, _u13729, _u13733, _u13731), _u13735)), _u13736)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u13737, _u13738, _u13739, _u13740, hAPP(c_Fun_Ocomp(_u13741, _u13738, _u13737, _u13742), _u13743), hAPP(c_Fun_Ocomp(_u13744, _u13740, _u13739, _u13745), _u13746)) = hAPP(c_Fun_Ocomp(tc_prod(_u13741, _u13744), tc_prod(_u13738, _u13740), tc_prod(_u13737, _u13739), c_Product__Type_Omap__pair(_u13741, _u13738, _u13744, _u13740, _u13742, _u13745)), c_Product__Type_Omap__pair(_u13737, _u13741, _u13739, _u13744, _u13743, _u13746))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13747, _u13748), tc_prod(_u13749, _u13750), tc_prod(_u13751, _u13752), c_Product__Type_Omap__pair(_u13747, _u13749, _u13748, _u13750, _u13753, _u13754)), c_Product__Type_Omap__pair(_u13751, _u13747, _u13752, _u13748, _u13755, _u13756)) = c_Product__Type_Omap__pair(_u13751, _u13749, _u13752, _u13750, hAPP(c_Fun_Ocomp(_u13747, _u13749, _u13751, _u13753), _u13755), hAPP(c_Fun_Ocomp(_u13748, _u13750, _u13752, _u13754), _u13756))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13757) | ~c_Fun_Oinj__on(_u13758, _u13759, _u13760, _u13761) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13759, _u13757), _u13762), hAPP(c_Set_Oimage(_u13758, _u13759, _u13760), _u13761)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13758, _u13757), hAPP(c_Fun_Ocomp(_u13759, _u13757, _u13758, _u13762), _u13760)), _u13761)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13763) | ~c_Fun_Oinj__on(_u13764, _u13765, _u13766, _u13767) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13765, _u13763), _u13768), hAPP(c_Set_Oimage(_u13764, _u13765, _u13766), _u13767)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13764, _u13763), hAPP(c_Fun_Ocomp(_u13765, _u13763, _u13764, _u13768), _u13766)), _u13767)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_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)) | ( _u13775 != hAPP(c_Fun_Ocomp(_u13771, _u13769, _u13770, _u13776), _u13772)) | ( 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)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13777, _u13778), hAPP(c_Product__Type_Oprod_Oprod__case(_u13777, _u13778, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13777, tc_fun(_u13778, tc_HOL_Obool), tc_fun(_u13778, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13778, tc_HOL_Obool), tc_fun(_u13778, tc_HOL_Obool)), _u13777), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13778)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13777), c_fconj), hAPP(c_fequal, _u13779)))), hAPP(c_fequal, _u13780)))) = hAPP(hAPP(c_Product__Type_OPair(_u13777, _u13778), _u13779), _u13780)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13781, _u13782), _u13783) = c_Hilbert__Choice_OEps(tc_prod(_u13781, _u13782), hAPP(c_Product__Type_Oprod_Oprod__case(_u13781, _u13782, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13782, tc_prod(_u13781, _u13782)), tc_fun(_u13782, tc_HOL_Obool), _u13781), hAPP(c_COMBB(tc_prod(_u13781, _u13782), tc_HOL_Obool, _u13782), _u13783)), c_Product__Type_OPair(_u13781, _u13782))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13785), _u13786)) | ~c_Fun_Oinj__on(_u13785, _u13785, _u13787, _u13786) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13785, _u13784), _u13788), hAPP(c_Set_Oimage(_u13785, _u13785, _u13787), _u13786)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13785, _u13784), hAPP(c_Fun_Ocomp(_u13785, _u13784, _u13785, _u13788), _u13787)), _u13786)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13789) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13790), _u13791)) | ~c_Fun_Oinj__on(_u13790, _u13790, _u13792, _u13791) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13790, _u13789), _u13793), hAPP(c_Set_Oimage(_u13790, _u13790, _u13792), _u13791)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13790, _u13789), hAPP(c_Fun_Ocomp(_u13790, _u13789, _u13790, _u13793), _u13792)), _u13791)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13794, _u13795, _u13796, hAPP(c_Set_Oimage(_u13797, _u13794, _u13798), _u13799)) | ~c_Fun_Oinj__on(_u13797, _u13794, _u13798, _u13799) | ~hBOOL(hAPP(hAPP(c_member(_u13795), _u13800), hAPP(c_Set_Oimage(_u13794, _u13795, _u13796), hAPP(c_Set_Oimage(_u13797, _u13794, _u13798), _u13799)))) | ( hAPP(c_Fun_Othe__inv__into(_u13797, _u13795, _u13799, hAPP(c_Fun_Ocomp(_u13794, _u13795, _u13797, _u13796), _u13798)), _u13800) = hAPP(hAPP(c_Fun_Ocomp(_u13794, _u13797, _u13795, c_Fun_Othe__inv__into(_u13797, _u13794, _u13799, _u13798)), c_Fun_Othe__inv__into(_u13794, _u13795, hAPP(c_Set_Oimage(_u13797, _u13794, _u13798), _u13799), _u13796)), _u13800)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13801) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13802), _u13803)) | ~c_Fun_Oinj__on(_u13802, _u13804, _u13805, _u13803) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13801, _u13804, c_Groups_Otimes__class_Otimes(_u13801)), _u13806), _u13807), hAPP(c_Set_Oimage(_u13802, _u13804, _u13805), _u13803)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13801, _u13802, c_Groups_Otimes__class_Otimes(_u13801)), hAPP(c_Fun_Ocomp(_u13804, _u13801, _u13802, _u13806), _u13805)), _u13807), _u13803)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13808, _u13809, _u13810, _u13811) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13808), _u13812)) | ~hBOOL(hAPP(hAPP(c_member(_u13808), _u13813), _u13812)) | ( hAPP(_u13811, _u13812) = hAPP(c_Fun_Ocomp(_u13809, _u13809, _u13809, hAPP(_u13811, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13808, tc_HOL_Obool)), _u13812), hAPP(hAPP(c_Set_Oinsert(_u13808), _u13813), c_Orderings_Obot__class_Obot(tc_fun(_u13808, tc_HOL_Obool)))))), hAPP(_u13810, _u13813))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13814, _u13815, _u13816, _u13817, _u13818) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13815), _u13819)) | ~c_Fun_Oinj__on(_u13815, _u13815, _u13820, _u13819) | ( hAPP(hAPP(_u13818, _u13821), hAPP(c_Set_Oimage(_u13815, _u13815, _u13820), _u13819)) = hAPP(hAPP(_u13818, hAPP(c_Fun_Ocomp(_u13815, _u13814, _u13815, _u13821), _u13820)), _u13819)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u13822, _u13823, _u13824, _u13825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13822), _u13826)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13822), _u13827)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13822, tc_HOL_Obool)), _u13826), _u13827) != c_Orderings_Obot__class_Obot(tc_fun(_u13822, tc_HOL_Obool))) | ( hAPP(_u13825, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13822, tc_HOL_Obool)), _u13826), _u13827)) = hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13823, hAPP(_u13825, _u13826)), hAPP(_u13825, _u13827))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u13828, _u13829, _u13830, _u13831) | ( hAPP(c_Fun_Ocomp(_u13832, _u13833, _u13834, _u13835), hAPP(c_Fun_Ocomp(_u13836, _u13832, _u13834, _u13837), _u13838)) = hAPP(c_Fun_Ocomp(_u13836, _u13833, _u13834, hAPP(c_Fun_Ocomp(_u13832, _u13833, _u13836, _u13835), _u13837)), _u13838)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13840, _u13840, _u13840, hAPP(_u13841, _u13843)), hAPP(_u13841, _u13844)) = hAPP(c_Fun_Ocomp(_u13840, _u13840, _u13840, hAPP(_u13841, _u13844)), hAPP(_u13841, _u13843))) | ~c_Finite__Set_Ofolding(_u13839, _u13840, _u13841, _u13842) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13846, _u13846, _u13849, hAPP(_u13847, _u13850)), hAPP(c_Fun_Ocomp(_u13846, _u13846, _u13849, hAPP(_u13847, _u13851)), _u13852)) = hAPP(c_Fun_Ocomp(_u13846, _u13846, _u13849, hAPP(_u13847, _u13851)), hAPP(c_Fun_Ocomp(_u13846, _u13846, _u13849, hAPP(_u13847, _u13850)), _u13852))) | ~c_Finite__Set_Ofolding(_u13845, _u13846, _u13847, _u13848) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13853, tc_fun(_u13854, tc_HOL_Obool)), _u13855), hAPP(c_Fun_Ocomp(_u13856, tc_fun(_u13854, tc_HOL_Obool), _u13853, _u13857), _u13858)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13856, tc_fun(_u13854, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13853, _u13856, _u13858), _u13855)), _u13857)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13859, _u13860), _u13859, tc_prod(_u13861, _u13862), c_Product__Type_Ofst(_u13859, _u13860)), c_Product__Type_Omap__pair(_u13861, _u13859, _u13862, _u13860, _u13863, _u13864)) = hAPP(c_Fun_Ocomp(_u13861, _u13859, tc_prod(_u13861, _u13862), _u13863), c_Product__Type_Ofst(_u13861, _u13862))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13865, _u13866), _u13866, tc_prod(_u13867, _u13868), c_Product__Type_Osnd(_u13865, _u13866)), c_Product__Type_Omap__pair(_u13867, _u13865, _u13868, _u13866, _u13869, _u13870)) = hAPP(c_Fun_Ocomp(_u13868, _u13866, tc_prod(_u13867, _u13868), _u13870), c_Product__Type_Osnd(_u13867, _u13868))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13871, _u13872, _u13873, _u13874, _u13875) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13872), _u13876)) | ( hAPP(hAPP(_u13875, hAPP(hAPP(c_COMBS(_u13872, _u13871, _u13871), hAPP(hAPP(c_COMBB(_u13871, tc_fun(_u13871, _u13871), _u13872), _u13873), _u13877)), _u13878)), _u13876) = hAPP(hAPP(_u13873, hAPP(hAPP(_u13875, _u13877), _u13876)), hAPP(hAPP(_u13875, _u13878), _u13876))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13879, _u13880, _u13881), hAPP(c_Fun_Ocomp(_u13882, tc_fun(_u13880, _u13881), _u13879, _u13883), _u13884)), _u13885) = hAPP(hAPP(_u13883, hAPP(_u13884, hAPP(c_Product__Type_Ofst(_u13879, _u13880), _u13885))), hAPP(c_Product__Type_Osnd(_u13879, _u13880), _u13885))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13886, _u13887, _u13888, _u13889) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13886), _u13890)) | ( hAPP(c_Fun_Ocomp(_u13887, _u13887, _u13887, hAPP(_u13888, _u13891)), hAPP(_u13889, _u13890)) = hAPP(c_Fun_Ocomp(_u13887, _u13887, _u13887, hAPP(_u13889, _u13890)), hAPP(_u13888, _u13891))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13892, _u13893, _u13894, _u13895) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13892), _u13896)) | ( hAPP(c_Fun_Ocomp(_u13893, _u13893, _u13897, hAPP(_u13894, _u13898)), hAPP(c_Fun_Ocomp(_u13893, _u13893, _u13897, hAPP(_u13895, _u13896)), _u13899)) = hAPP(c_Fun_Ocomp(_u13893, _u13893, _u13897, hAPP(_u13895, _u13896)), hAPP(c_Fun_Ocomp(_u13893, _u13893, _u13897, hAPP(_u13894, _u13898)), _u13899))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13900, _u13901, _u13902, _u13903) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13900), _u13904)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13900), _u13905)) | ( hAPP(c_Fun_Ocomp(_u13901, _u13901, _u13901, hAPP(_u13903, _u13905)), hAPP(_u13903, _u13904)) = hAPP(c_Fun_Ocomp(_u13901, _u13901, _u13901, hAPP(_u13903, _u13904)), hAPP(_u13903, _u13905))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13906, _u13907, _u13908, _u13909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13906), _u13910)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13906), _u13911)) | ( hAPP(c_Fun_Ocomp(_u13907, _u13907, _u13912, hAPP(_u13909, _u13911)), hAPP(c_Fun_Ocomp(_u13907, _u13907, _u13912, hAPP(_u13909, _u13910)), _u13913)) = hAPP(c_Fun_Ocomp(_u13907, _u13907, _u13912, hAPP(_u13909, _u13910)), hAPP(c_Fun_Ocomp(_u13907, _u13907, _u13912, hAPP(_u13909, _u13911)), _u13913))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u13914, _u13915, _u13916, _u13917) | ( hAPP(_u13917, c_Orderings_Obot__class_Obot(tc_fun(_u13914, tc_HOL_Obool))) = c_Fun_Oid(_u13915)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u13918, _u13919, _u13920, _u13921) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13918), _u13922)) | ( hAPP(hAPP(_u13921, _u13922), _u13923) = hAPP(hAPP(c_Finite__Set_Ofold(_u13918, _u13919, _u13920), _u13923), _u13922)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13924, _u13925, _u13926, _u13927, _u13928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13925), _u13929)) | ( hAPP(hAPP(_u13928, _u13930), _u13929) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13924, _u13925, _u13926), _u13930), _u13927), _u13929)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u13931, _u13932, _u13933, _u13934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13931), _u13935)) | hBOOL(hAPP(hAPP(c_member(_u13931), _u13936), _u13935)) | ( hAPP(_u13934, hAPP(hAPP(c_Set_Oinsert(_u13931), _u13936), _u13935)) = hAPP(c_Fun_Ocomp(_u13932, _u13932, _u13932, hAPP(_u13934, _u13935)), hAPP(_u13933, _u13936))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u13937, _u13938, _u13939, _u13940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13937), _u13941)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13937), _u13942)) | ( hAPP(c_Fun_Ocomp(_u13938, _u13938, _u13938, hAPP(_u13940, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13937, tc_HOL_Obool)), _u13941), _u13942))), hAPP(_u13940, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13937, tc_HOL_Obool)), _u13941), _u13942))) = hAPP(c_Fun_Ocomp(_u13938, _u13938, _u13938, hAPP(_u13940, _u13941)), hAPP(_u13940, _u13942))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13943, _u13944, _u13945, _u13946) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13943), _u13947)) | ( hAPP(_u13946, hAPP(hAPP(c_Set_Oinsert(_u13943), _u13948), _u13947)) = hAPP(c_Fun_Ocomp(_u13944, _u13944, _u13944, hAPP(_u13946, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13943, tc_HOL_Obool)), _u13947), hAPP(hAPP(c_Set_Oinsert(_u13943), _u13948), c_Orderings_Obot__class_Obot(tc_fun(_u13943, tc_HOL_Obool)))))), hAPP(_u13945, _u13948))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_hoare__derivs_OIf ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_hoare__derivs_OIf-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13949, _u13950, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13949)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13949), c_Hoare__Mirabelle_Opeek__and(_u13949, _u13951, _u13952)), _u13953), _u13954)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13949), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u13949, _u13950, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13949)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13949), c_Hoare__Mirabelle_Opeek__and(_u13949, _u13951, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13952))), _u13955), _u13954)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13949), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13949, _u13950, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13949)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13949), _u13951), c_Com_Ocom_OCond(_u13952, _u13953, _u13955)), _u13954)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13949), tc_HOL_Obool)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Loop ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Loop-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13956, _u13957, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13956)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13956), c_Hoare__Mirabelle_Opeek__and(_u13956, _u13958, _u13959)), _u13960), _u13958)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13956), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13956, _u13957, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13956)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13956), _u13958), c_Com_Ocom_OWhile(_u13959, _u13960)), c_Hoare__Mirabelle_Opeek__and(_u13956, _u13958, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13959)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13956), tc_HOL_Obool)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | hBOOL(hAPP(hAPP(c_member(_u13964), skolem342(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963)), _u13965)) )).
% 12.17/12.41 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | hBOOL(hAPP(hAPP(c_member(_u13964), skolem343(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963)), _u13965)) )).
% 12.17/12.41 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | ( skolem342(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963) != skolem343(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963)) )).
% 12.17/12.41 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | ( hAPP(_u13966, skolem342(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963)) = hAPP(_u13966, skolem343(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963))) )).
% 12.17/12.41 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | ( hAPP(_u13967, hAPP(_u13966, skolem342(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963))) != c_Groups_Ozero__class_Ozero(_u13963)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_peek__and__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_peek__and__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13974, _u13976, _u13978), _u13980), _u13982)) | hBOOL(hAPP(hAPP(_u13976, _u13980), _u13982)) )).
% 12.17/12.41 cnf(fact_peek__and__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13974, _u13976, _u13978), _u13980), _u13982)) | hBOOL(hAPP(_u13978, _u13982)) )).
% 12.17/12.41 cnf(fact_peek__and__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u13977, _u13981), _u13983)) | ~hBOOL(hAPP(_u13979, _u13983)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13975, _u13977, _u13979), _u13981), _u13983)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13984, _u13985, _u13986, _u13987) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13984), _u13988)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13984), _u13989)) | ( hAPP(_u13987, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13984, tc_HOL_Obool)), _u13988), _u13989)) = hAPP(c_Fun_Ocomp(_u13985, _u13985, _u13985, hAPP(_u13987, _u13988)), hAPP(_u13987, _u13989))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13990, _u13991, _u13992, _u13993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13990), _u13994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13990, tc_HOL_Obool)), _u13995), _u13994)) | ( hAPP(c_Fun_Ocomp(_u13991, _u13991, _u13991, hAPP(_u13993, _u13994)), hAPP(_u13993, _u13995)) = hAPP(_u13993, _u13994)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13996, _u13997, _u13998, _u13999) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13996), _u14000)) | ( hAPP(_u13999, hAPP(hAPP(c_Set_Oinsert(_u13996), _u14001), _u14000)) = hAPP(c_Fun_Ocomp(_u13997, _u13997, _u13997, hAPP(_u13999, _u14000)), hAPP(_u13998, _u14001))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14003, _u14003, _u14006, hAPP(_u14004, _u14007)), hAPP(c_Fun_Ocomp(_u14003, _u14003, _u14006, hAPP(_u14004, _u14007)), _u14008)) = hAPP(c_Fun_Ocomp(_u14003, _u14003, _u14006, hAPP(_u14004, _u14007)), _u14008)) | ~c_Finite__Set_Ofolding__idem(_u14002, _u14003, _u14004, _u14005) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14010, _u14010, _u14010, hAPP(_u14011, _u14013)), hAPP(_u14011, _u14013)) = hAPP(_u14011, _u14013)) | ~c_Finite__Set_Ofolding__idem(_u14009, _u14010, _u14011, _u14012) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u14014, _u14015, _u14016, _u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14014), _u14018)) | ~hBOOL(hAPP(hAPP(c_member(_u14014), _u14019), _u14018)) | ( hAPP(c_Fun_Ocomp(_u14015, _u14015, _u14015, hAPP(_u14017, _u14018)), hAPP(_u14016, _u14019)) = hAPP(_u14017, _u14018)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14021) | ~c_Fun_Oinj__on(_u14022, _u14023, _u14024, _u14025) | ( _u14026 != hAPP(c_Set_Oimage(_u14022, _u14023, _u14024), _u14025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14023, _u14021), _u14028), _u14026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14022, _u14021), _u14027), _u14025)) | hBOOL(hAPP(hAPP(c_member(_u14022), skolem344(_u14028, _u14027, _u14026, _u14025, _u14024, _u14023, _u14022, _u14021)), _u14025)) )).
% 12.17/12.41 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14021) | ~c_Fun_Oinj__on(_u14022, _u14023, _u14024, _u14025) | ( _u14026 != hAPP(c_Set_Oimage(_u14022, _u14023, _u14024), _u14025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14023, _u14021), _u14028), _u14026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14022, _u14021), _u14027), _u14025)) | ( hAPP(_u14027, skolem344(_u14028, _u14027, _u14026, _u14025, _u14024, _u14023, _u14022, _u14021)) != hAPP(hAPP(c_Fun_Ocomp(_u14023, _u14021, _u14022, _u14028), _u14024), skolem344(_u14028, _u14027, _u14026, _u14025, _u14024, _u14023, _u14022, _u14021))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14030, tc_HOL_Obool)), _u14031), _u14032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14030, _u14033), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14030, _u14033), _u14031), _u14034)), hAPP(hAPP(c_Product__Type_OSigma(_u14030, _u14033), _u14032), _u14035))) | hBOOL(hAPP(hAPP(c_member(_u14030), skolem345(_u14035, _u14034, _u14033, _u14032, _u14031, _u14030)), _u14031)) )).
% 12.17/12.41 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14030, tc_HOL_Obool)), _u14031), _u14032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14030, _u14033), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14030, _u14033), _u14031), _u14034)), hAPP(hAPP(c_Product__Type_OSigma(_u14030, _u14033), _u14032), _u14035))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14033, tc_HOL_Obool)), hAPP(_u14034, skolem345(_u14035, _u14034, _u14033, _u14032, _u14031, _u14030))), hAPP(_u14035, skolem345(_u14035, _u14034, _u14033, _u14032, _u14031, _u14030)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14037), _u14038), c_Wellfounded_Oacc(_u14037, _u14039))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14037, _u14037)), hAPP(hAPP(c_Product__Type_OPair(_u14037, _u14037), skolem346(_u14039, _u14038, _u14037)), _u14038)), _u14039)) )).
% 12.17/12.41 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14037), _u14038), c_Wellfounded_Oacc(_u14037, _u14039))) | ~hBOOL(hAPP(hAPP(c_member(_u14037), skolem346(_u14039, _u14038, _u14037)), c_Wellfounded_Oacc(_u14037, _u14039))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14041), _u14042), c_Wellfounded_Oacc(_u14041, _u14043))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14041, _u14041)), hAPP(hAPP(c_Product__Type_OPair(_u14041, _u14041), skolem347(_u14043, _u14042, _u14041)), _u14042)), _u14043)) )).
% 12.17/12.41 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14041), _u14042), c_Wellfounded_Oacc(_u14041, _u14043))) | ~hBOOL(hAPP(hAPP(c_member(_u14041), skolem347(_u14043, _u14042, _u14041)), c_Wellfounded_Oacc(_u14041, _u14043))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14052), _u14054)) )).
% 12.17/12.41 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14052), _u14056)) )).
% 12.17/12.41 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | ( _u14056 != c_Orderings_Obot__class_Obot(tc_fun(_u14052, tc_HOL_Obool))) )).
% 12.17/12.41 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | ~hBOOL(hAPP(hAPP(c_member(_u14052), _u14045), _u14054)) | hBOOL(hAPP(hAPP(c_member(_u14052), skolem348(_u14058, _u14056, _u14054, _u14052, _u14045)), _u14056)) )).
% 12.17/12.41 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | ~hBOOL(hAPP(hAPP(c_member(_u14052), _u14045), _u14054)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14052, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14052, _u14052), _u14045), skolem348(_u14058, _u14056, _u14054, _u14052, _u14045))), _u14058)) )).
% 12.17/12.41 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14053, tc_HOL_Obool), tc_fun(_u14053, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14053, tc_HOL_Obool), tc_fun(_u14053, tc_HOL_Obool)), _u14055), _u14057)), c_Wellfounded_Omax__ext(_u14053, _u14059))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14055)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14057)) | ( _u14057 = c_Orderings_Obot__class_Obot(tc_fun(_u14053, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14053), skolem349(_u14059, _u14057, _u14055, _u14053)), _u14055)) )).
% 12.17/12.41 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14053, tc_HOL_Obool), tc_fun(_u14053, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14053, tc_HOL_Obool), tc_fun(_u14053, tc_HOL_Obool)), _u14055), _u14057)), c_Wellfounded_Omax__ext(_u14053, _u14059))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14055)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14057)) | ( _u14057 = c_Orderings_Obot__class_Obot(tc_fun(_u14053, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14053), _u14046), _u14057)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14053, _u14053)), hAPP(hAPP(c_Product__Type_OPair(_u14053, _u14053), skolem349(_u14059, _u14057, _u14055, _u14053)), _u14046)), _u14059)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u14061, _u14062) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14061, _u14061)), hAPP(hAPP(c_Product__Type_OPair(_u14061, _u14061), hAPP(_u14063, hAPP(c_Nat_OSuc, skolem350(_u14063, _u14062, _u14061)))), hAPP(_u14063, skolem350(_u14063, _u14062, _u14061)))), _u14062)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14064, _u14065, _u14066, _u14067), _u14068), _u14069), _u14070) = hAPP(hAPP(_u14069, hAPP(c_Product__Type_Ofst(_u14065, _u14066), hAPP(_u14068, _u14070))), hAPP(c_Product__Type_Osnd(_u14065, _u14066), hAPP(_u14068, _u14070)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14072) | ~class_Orderings_Oord(_u14073) | ( _u14074 != _u14075) | ( _u14076 != _u14077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14078), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14074), _u14076)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14079), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14075), _u14077))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14073), _u14075), skolem351(_u14079, _u14078, _u14077, _u14076, _u14075, _u14074, _u14073, _u14072))) )).
% 12.17/12.41 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14072) | ~class_Orderings_Oord(_u14073) | ( _u14074 != _u14075) | ( _u14076 != _u14077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14078), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14074), _u14076)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14079), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14075), _u14077))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14073), skolem351(_u14079, _u14078, _u14077, _u14076, _u14075, _u14074, _u14073, _u14072)), _u14077)) )).
% 12.17/12.41 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14072) | ~class_Orderings_Oord(_u14073) | ( _u14074 != _u14075) | ( _u14076 != _u14077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14078), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14074), _u14076)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14079), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14075), _u14077))) | ( hAPP(_u14078, skolem351(_u14079, _u14078, _u14077, _u14076, _u14075, _u14074, _u14073, _u14072)) != hAPP(_u14079, skolem351(_u14079, _u14078, _u14077, _u14076, _u14075, _u14074, _u14073, _u14072))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 12.17/12.41 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), _u14082), _u14084)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14082), _u14084)) )).
% 12.17/12.41 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14083), _u14085)) | 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), _u14083), _u14085)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14086, _u14087, _u14086, _u14088), hAPP(c_Product__Type_OPair(_u14087, _u14086), _u14089)), _u14090) = hAPP(_u14090, _u14089)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14091, _u14092, _u14093, tc_prod(_u14092, _u14093)), _u14094), c_Product__Type_OPair(_u14092, _u14093)) = _u14094) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14095, _u14096, _u14097, _u14098), hAPP(hAPP(c_Product__Type_Oscomp(_u14095, _u14099, _u14100, tc_prod(_u14096, _u14097)), _u14101), _u14102)), _u14103) = hAPP(hAPP(c_Product__Type_Oscomp(_u14095, _u14099, _u14100, _u14098), _u14101), hAPP(hAPP(c_COMBC(_u14099, tc_fun(_u14096, tc_fun(_u14097, _u14098)), tc_fun(_u14100, _u14098)), hAPP(hAPP(c_COMBB(tc_fun(_u14100, tc_prod(_u14096, _u14097)), tc_fun(tc_fun(_u14096, tc_fun(_u14097, _u14098)), tc_fun(_u14100, _u14098)), _u14099), c_Product__Type_Oscomp(_u14100, _u14096, _u14097, _u14098)), _u14102)), _u14103))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14104, _u14105) | c_Wellfounded_Owf(_u14104, c_Transitive__Closure_Otrancl(_u14104, _u14105)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14106, _u14107, _u14108, _u14109), _u14110), _u14111), _u14112) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14107, _u14108, _u14109), _u14111), hAPP(_u14110, _u14112))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14113, _u14114, _u14115, _u14116), _u14117), _u14118), _u14119) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14114, _u14115, _u14116), _u14118), hAPP(_u14117, _u14119))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14124, _u14126) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14124, _u14124)), hAPP(hAPP(c_Product__Type_OPair(_u14124, _u14124), _u14120), _u14120)), c_Transitive__Closure_Otrancl(_u14124, _u14126))) )).
% 12.17/12.41 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14125, _u14125)), hAPP(hAPP(c_Product__Type_OPair(_u14125, _u14125), skolem352(_u14127, _u14125)), skolem352(_u14127, _u14125))), c_Transitive__Closure_Otrancl(_u14125, _u14127))) | c_Wellfounded_Oacyclic(_u14125, _u14127) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), hAPP(hAPP(c_Product__Type_OPair(_u14128, _u14128), _u14129), _u14130)), _u14131)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), hAPP(hAPP(c_Product__Type_OPair(_u14128, _u14128), _u14129), _u14130)), c_Transitive__Closure_Otrancl(_u14128, _u14131))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14132, _u14132), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14132, _u14133)), hAPP(hAPP(c_Product__Type_OSigma(_u14132, _u14132), hAPP(c_Relation_OField(_u14132), _u14133)), hAPP(c_COMBK(tc_fun(_u14132, tc_HOL_Obool), _u14132), hAPP(c_Relation_OField(_u14132), _u14133))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), _u14135), _u14136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14134, _u14134, _u14134), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14134, _u14135)), _u14136)), _u14135)), _u14136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14134, _u14135)), _u14136)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14137, _u14137)), _u14138), _u14139)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14137, _u14137)), _u14138), c_Transitive__Closure_Otrancl(_u14137, _u14139))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14140, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14140, _u14140), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14140, _u14140), tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14141, _u14141), c_Transitive__Closure_Otrancl(_u14141, _u14142)) = hAPP(c_Relation_ODomain(_u14141, _u14141), _u14142)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u14143, _u14143), c_Transitive__Closure_Otrancl(_u14143, _u14144)) = hAPP(c_Relation_ORange(_u14143, _u14143), _u14144)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14147, _u14147)), c_Transitive__Closure_Otrancl(_u14147, _u14149))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14147, _u14147)), _u14149)) )).
% 12.17/12.41 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14148, _u14148)), _u14150)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14148, _u14148)), c_Transitive__Closure_Otrancl(_u14148, _u14150))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14151, _u14151)), hAPP(hAPP(c_Product__Type_OPair(_u14151, _u14151), _u14152), _u14153)), c_Transitive__Closure_Otrancl(_u14151, _u14154))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14151, _u14151)), hAPP(hAPP(c_Product__Type_OPair(_u14151, _u14151), _u14153), _u14155)), c_Transitive__Closure_Otrancl(_u14151, _u14154))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14151, _u14151)), hAPP(hAPP(c_Product__Type_OPair(_u14151, _u14151), _u14152), _u14155)), c_Transitive__Closure_Otrancl(_u14151, _u14154))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14156, _u14156)), hAPP(hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14157), _u14158)), c_Transitive__Closure_Otrancl(_u14156, _u14159))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14156, _u14156)), hAPP(hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14158), _u14160)), _u14159)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14156, _u14156)), hAPP(hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14157), _u14160)), c_Transitive__Closure_Otrancl(_u14156, _u14159))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14162), _u14163)), _u14164)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14163), _u14165)), c_Transitive__Closure_Otrancl(_u14161, _u14164))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14162), _u14165)), c_Transitive__Closure_Otrancl(_u14161, _u14164))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14166, _u14166)), hAPP(hAPP(c_Product__Type_OPair(_u14166, _u14166), _u14167), _u14168)), _u14169)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14166, _u14166)), hAPP(hAPP(c_Product__Type_OPair(_u14166, _u14166), _u14168), _u14170)), _u14169)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14166, _u14166)), hAPP(hAPP(c_Product__Type_OPair(_u14166, _u14166), _u14167), _u14170)), c_Transitive__Closure_Otrancl(_u14166, _u14169))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14171, _u14171)), _u14172), c_Transitive__Closure_Otrancl(_u14171, _u14173))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14171, _u14171), tc_HOL_Obool)), _u14173), _u14174)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14171, _u14171)), _u14172), c_Transitive__Closure_Otrancl(_u14171, _u14174))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14175, _u14176) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14175, _u14175), tc_HOL_Obool)), _u14176), hAPP(hAPP(c_Relation_Orel__comp(_u14175, _u14175, _u14175), c_Transitive__Closure_Otrancl(_u14175, _u14176)), _u14176))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14177, _u14177), tc_HOL_Obool)), _u14178), hAPP(hAPP(c_Product__Type_OSigma(_u14177, _u14177), _u14179), hAPP(c_COMBK(tc_fun(_u14177, tc_HOL_Obool), _u14177), _u14179)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14177, _u14177), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14177, _u14178)), hAPP(hAPP(c_Product__Type_OSigma(_u14177, _u14177), _u14179), hAPP(c_COMBK(tc_fun(_u14177, tc_HOL_Obool), _u14177), _u14179)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_iterate_Osimps-1, axiom, ( ( _u14185 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14187, _u14189, _u14185, _u14191), _u14193) = hAPP(c_Product__Type_OPair(_u14187, _u14189), _u14193)) )).
% 12.17/12.41 cnf(fact_iterate_Osimps-2, axiom, ( ( _u14186 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14188, _u14190, _u14186, _u14192), _u14194) = hAPP(hAPP(c_Product__Type_Oscomp(_u14190, _u14188, _u14190, tc_prod(_u14188, _u14190)), hAPP(_u14192, _u14194)), c_Random_Oiterate(_u14188, _u14190, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14186), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u14192))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14195, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14195, _u14195)), hAPP(hAPP(c_Product__Type_OPair(_u14195, _u14195), _u14196), _u14197)), _u14198)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14195, _u14198)), hAPP(c_Set_OCollect(tc_prod(_u14195, _u14195)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14195, _u14195, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14195, tc_fun(_u14195, tc_HOL_Obool), tc_fun(_u14195, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14195, tc_HOL_Obool), tc_fun(_u14195, tc_HOL_Obool)), _u14195), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14195)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14195), c_fconj), hAPP(hAPP(c_COMBC(_u14195, tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14195, _u14195), tc_fun(tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool), tc_HOL_Obool), _u14195), c_member(tc_prod(_u14195, _u14195))), hAPP(hAPP(c_COMBC(_u14195, _u14195, tc_prod(_u14195, _u14195)), c_Product__Type_OPair(_u14195, _u14195)), _u14196))), c_Transitive__Closure_Ortrancl(_u14195, _u14198))))), hAPP(hAPP(c_COMBC(_u14195, tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14195, _u14195), tc_fun(tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool), tc_HOL_Obool), _u14195), c_member(tc_prod(_u14195, _u14195))), hAPP(c_Product__Type_OPair(_u14195, _u14195), _u14197))), c_Transitive__Closure_Ortrancl(_u14195, _u14198))))))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14199, _u14199)), _u14200), _u14201)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14199, _u14199)), _u14200), c_Transitive__Closure_Ortrancl(_u14199, _u14201))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14202, _u14202)), hAPP(hAPP(c_Product__Type_OPair(_u14202, _u14202), _u14203), _u14203)), c_Transitive__Closure_Ortrancl(_u14202, _u14204))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14205, _u14205)), hAPP(hAPP(c_Product__Type_OPair(_u14205, _u14205), _u14206), _u14207)), c_Transitive__Closure_Otrancl(_u14205, _u14208))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14205, _u14205)), hAPP(hAPP(c_Product__Type_OPair(_u14205, _u14205), _u14206), _u14207)), c_Transitive__Closure_Ortrancl(_u14205, _u14208))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14209, c_Transitive__Closure_Otrancl(_u14209, _u14210)) = c_Transitive__Closure_Ortrancl(_u14209, _u14210)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14211, c_Transitive__Closure_Ortrancl(_u14211, _u14212)) = c_Transitive__Closure_Ortrancl(_u14211, _u14212)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14213, _u14214) = hAPP(hAPP(c_Relation_Orel__comp(_u14213, _u14213, _u14213), c_Transitive__Closure_Ortrancl(_u14213, _u14214)), _u14214)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14215, _u14216) = hAPP(hAPP(c_Relation_Orel__comp(_u14215, _u14215, _u14215), _u14216), c_Transitive__Closure_Ortrancl(_u14215, _u14216))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14217, _u14217), c_Transitive__Closure_Ortrancl(_u14217, _u14218)) = c_Orderings_Otop__class_Otop(tc_fun(_u14217, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u14219, _u14219), c_Transitive__Closure_Ortrancl(_u14219, _u14220)) = c_Orderings_Otop__class_Otop(tc_fun(_u14219, tc_HOL_Obool))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14221, _u14221)), _u14222), c_Transitive__Closure_Ortrancl(_u14221, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14221, _u14221), tc_HOL_Obool)), _u14223), _u14224)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14221, _u14221)), _u14222), c_Transitive__Closure_Ortrancl(_u14221, _u14223))) )).
% 12.17/12.41 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14221, _u14221)), _u14222), c_Transitive__Closure_Ortrancl(_u14221, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14221, _u14221), tc_HOL_Obool)), _u14223), _u14224)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14221, _u14221)), _u14222), c_Transitive__Closure_Ortrancl(_u14221, _u14224))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14225, _u14225, _u14225), _u14226), c_Transitive__Closure_Ortrancl(_u14225, _u14226)) = hAPP(hAPP(c_Relation_Orel__comp(_u14225, _u14225, _u14225), c_Transitive__Closure_Ortrancl(_u14225, _u14226)), _u14226)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14227, _u14227, _u14227), c_Transitive__Closure_Ortrancl(_u14227, _u14228)), c_Transitive__Closure_Ortrancl(_u14227, _u14228)) = c_Transitive__Closure_Ortrancl(_u14227, _u14228)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14229, _u14229), tc_HOL_Obool)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14229, _u14229), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14229, _u14230)), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14232, _u14232), tc_HOL_Obool)), _u14233), _u14234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14232, _u14232), tc_HOL_Obool)), _u14234), c_Transitive__Closure_Ortrancl(_u14232, _u14233))) | ( c_Transitive__Closure_Ortrancl(_u14232, _u14234) = c_Transitive__Closure_Ortrancl(_u14232, _u14233)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14235, _u14235), tc_HOL_Obool)), _u14236), _u14237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14235, _u14235), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14235, _u14236)), c_Transitive__Closure_Ortrancl(_u14235, _u14237))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14238, _u14239)), c_Transitive__Closure_Ortrancl(_u14238, _u14240))), c_Transitive__Closure_Ortrancl(_u14238, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14239), _u14240)))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14241, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14241, _u14242)), c_Transitive__Closure_Ortrancl(_u14241, _u14243))) = c_Transitive__Closure_Ortrancl(_u14241, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), _u14242), _u14243))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14244, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14244, _u14244, _u14245), _u14246)), _u14246)) | ( hAPP(c_Relation_OImage(_u14244, _u14244, c_Transitive__Closure_Ortrancl(_u14244, _u14245)), _u14246) = _u14246) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14247, c_Transitive__Closure_Ortrancl(_u14247, _u14248)) = c_Transitive__Closure_Ortrancl(_u14247, _u14248)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14249, _u14249)), hAPP(hAPP(c_Product__Type_OPair(_u14249, _u14249), _u14250), _u14251)), c_Transitive__Closure_Ortrancl(_u14249, _u14252))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14249, _u14249)), hAPP(hAPP(c_Product__Type_OPair(_u14249, _u14249), _u14251), _u14253)), c_Transitive__Closure_Ortrancl(_u14249, _u14252))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14249, _u14249)), hAPP(hAPP(c_Product__Type_OPair(_u14249, _u14249), _u14250), _u14253)), c_Transitive__Closure_Ortrancl(_u14249, _u14252))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14254, _u14254)), hAPP(hAPP(c_Product__Type_OPair(_u14254, _u14254), _u14255), _u14256)), c_Transitive__Closure_Ortrancl(_u14254, _u14257))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14254, _u14254)), hAPP(hAPP(c_Product__Type_OPair(_u14254, _u14254), _u14256), _u14258)), _u14257)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14254, _u14254)), hAPP(hAPP(c_Product__Type_OPair(_u14254, _u14254), _u14255), _u14258)), c_Transitive__Closure_Ortrancl(_u14254, _u14257))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14259, _u14259)), hAPP(hAPP(c_Product__Type_OPair(_u14259, _u14259), _u14260), _u14261)), _u14262)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14259, _u14259)), hAPP(hAPP(c_Product__Type_OPair(_u14259, _u14259), _u14261), _u14263)), c_Transitive__Closure_Ortrancl(_u14259, _u14262))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14259, _u14259)), hAPP(hAPP(c_Product__Type_OPair(_u14259, _u14259), _u14260), _u14263)), c_Transitive__Closure_Ortrancl(_u14259, _u14262))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u14264, c_Orderings_Otop__class_Otop(tc_fun(_u14264, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14264, _u14265)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14268)), c_Transitive__Closure_Ortrancl(_u14266, _u14269))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14268), _u14270)), c_Transitive__Closure_Otrancl(_u14266, _u14269))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14270)), c_Transitive__Closure_Otrancl(_u14266, _u14269))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14271, _u14271)), hAPP(hAPP(c_Product__Type_OPair(_u14271, _u14271), _u14272), _u14273)), c_Transitive__Closure_Otrancl(_u14271, _u14274))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14271, _u14271)), hAPP(hAPP(c_Product__Type_OPair(_u14271, _u14271), _u14273), _u14275)), c_Transitive__Closure_Ortrancl(_u14271, _u14274))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14271, _u14271)), hAPP(hAPP(c_Product__Type_OPair(_u14271, _u14271), _u14272), _u14275)), c_Transitive__Closure_Otrancl(_u14271, _u14274))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14276, _u14276)), hAPP(hAPP(c_Product__Type_OPair(_u14276, _u14276), _u14277), _u14278)), c_Transitive__Closure_Ortrancl(_u14276, _u14279))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14276, _u14276)), hAPP(hAPP(c_Product__Type_OPair(_u14276, _u14276), _u14278), _u14280)), _u14279)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14276, _u14276)), hAPP(hAPP(c_Product__Type_OPair(_u14276, _u14276), _u14277), _u14280)), c_Transitive__Closure_Otrancl(_u14276, _u14279))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14281, _u14281)), hAPP(hAPP(c_Product__Type_OPair(_u14281, _u14281), _u14282), _u14283)), c_Transitive__Closure_Ortrancl(_u14281, _u14284))) | ( _u14282 = _u14283) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14281, _u14281)), hAPP(hAPP(c_Product__Type_OPair(_u14281, _u14281), _u14282), _u14283)), c_Transitive__Closure_Otrancl(_u14281, _u14284))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14285, _u14285)), hAPP(hAPP(c_Product__Type_OPair(_u14285, _u14285), _u14286), _u14287)), _u14288)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14285, _u14285)), hAPP(hAPP(c_Product__Type_OPair(_u14285, _u14285), _u14287), _u14289)), c_Transitive__Closure_Ortrancl(_u14285, _u14288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14285, _u14285)), hAPP(hAPP(c_Product__Type_OPair(_u14285, _u14285), _u14286), _u14289)), c_Transitive__Closure_Otrancl(_u14285, _u14288))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14294, _u14294)), hAPP(hAPP(c_Product__Type_OPair(_u14294, _u14294), _u14296), _u14298)), c_Transitive__Closure_Ortrancl(_u14294, _u14300))) | ( _u14296 = _u14298) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14294, _u14294)), hAPP(hAPP(c_Product__Type_OPair(_u14294, _u14294), _u14296), _u14298)), c_Transitive__Closure_Otrancl(_u14294, _u14300))) )).
% 12.17/12.41 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14297), _u14299)), c_Transitive__Closure_Ortrancl(_u14295, _u14301))) | ( _u14297 != _u14299) )).
% 12.17/12.41 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14297), _u14299)), c_Transitive__Closure_Ortrancl(_u14295, _u14301))) | ( _u14297 = _u14299) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14297), _u14299)), c_Transitive__Closure_Otrancl(_u14295, _u14301))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14302), _u14303), hAPP(c_Relation_ODomain(_u14302, _u14302), _u14304))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14302, _u14302)), hAPP(hAPP(c_Product__Type_OPair(_u14302, _u14302), _u14303), _u14305)), c_Transitive__Closure_Ortrancl(_u14302, _u14304))) | ( _u14303 = _u14305) )).
% 12.17/12.41 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14302), _u14303), hAPP(c_Relation_ODomain(_u14302, _u14302), _u14304))) | ( _u14303 != _u14305) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14302, _u14302)), hAPP(hAPP(c_Product__Type_OPair(_u14302, _u14302), _u14303), _u14305)), c_Transitive__Closure_Ortrancl(_u14302, _u14304))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14306), _u14307), c_Wellfounded_Oacc(_u14306, _u14308))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14306, _u14306)), hAPP(hAPP(c_Product__Type_OPair(_u14306, _u14306), _u14309), _u14307)), c_Transitive__Closure_Ortrancl(_u14306, _u14308))) | hBOOL(hAPP(hAPP(c_member(_u14306), _u14309), c_Wellfounded_Oacc(_u14306, _u14308))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14310, _u14310)), hAPP(hAPP(c_Product__Type_OPair(_u14310, _u14310), _u14311), _u14312)), c_Transitive__Closure_Ortrancl(_u14310, _u14313))) | ~hBOOL(hAPP(hAPP(c_member(_u14310), _u14312), c_Wellfounded_Oacc(_u14310, _u14313))) | hBOOL(hAPP(hAPP(c_member(_u14310), _u14311), c_Wellfounded_Oacc(_u14310, _u14313))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u14318, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14318, _u14318)), hAPP(hAPP(c_Product__Type_OPair(_u14318, _u14318), _u14320), _u14322)), _u14324)) | c_Wellfounded_Owf(_u14318, _u14324) )).
% 12.17/12.41 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u14318, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14318, _u14318)), hAPP(hAPP(c_Product__Type_OPair(_u14318, _u14318), _u14320), _u14322)), _u14324)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14318, _u14318)), hAPP(hAPP(c_Product__Type_OPair(_u14318, _u14318), _u14322), _u14320)), c_Transitive__Closure_Ortrancl(_u14318, _u14324))) )).
% 12.17/12.41 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u14319, _u14325) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14319, _u14319)), hAPP(hAPP(c_Product__Type_OPair(_u14319, _u14319), _u14323), _u14321)), c_Transitive__Closure_Ortrancl(_u14319, _u14325))) | c_Wellfounded_Owf(_u14319, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14319, _u14319)), hAPP(hAPP(c_Product__Type_OPair(_u14319, _u14319), _u14321), _u14323)), _u14325)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14330, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14332), _u14334)), _u14336)) | c_Wellfounded_Oacyclic(_u14330, _u14336) )).
% 12.17/12.41 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14330, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14332), _u14334)), _u14336)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14334), _u14332)), c_Transitive__Closure_Ortrancl(_u14330, _u14336))) )).
% 12.17/12.41 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u14331, _u14337) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14335), _u14333)), c_Transitive__Closure_Ortrancl(_u14331, _u14337))) | c_Wellfounded_Oacyclic(_u14331, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14333), _u14335)), _u14337)) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 12.17/12.41 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), _u14340), _u14342)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14340), _u14342)) )).
% 12.17/12.41 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14341), _u14343)) | 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), _u14341), _u14343)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.17/12.41
% 12.17/12.41 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 12.17/12.41 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14344, _u14344)), hAPP(hAPP(c_Product__Type_OPair(_u14344, _u14344), _u14345), _u14346)), c_Transitive__Closure_Ortrancl(_u14344, _u14347))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14344, _u14344), tc_HOL_Obool)), _u14347), hAPP(hAPP(c_Product__Type_OSigma(_u14344, _u14344), _u14348), hAPP(c_COMBK(tc_fun(_u14344, tc_HOL_Obool), _u14344), _u14348)))) | ( _u14345 = _u14346) | hBOOL(hAPP(hAPP(c_member(_u14344), _u14345), _u14348)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u14351, _u14353) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14351), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.17/12.42 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u14351, _u14353) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14353), _u14351)) )).
% 12.17/12.42 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14352), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14354), _u14352)) | ( c_Random_Olog(_u14352, _u14354) = 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(_u14352, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u14354), _u14352)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14358), _u14360)) | ( c_Random_Ominus__shift(_u14362, _u14358, _u14360) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14362), _u14358)), _u14360)) )).
% 12.17/12.42 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14359), _u14361)) | ( c_Random_Ominus__shift(_u14363, _u14359, _u14361) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14359), _u14361)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_inc__shift__def-1, axiom, ( ( _u14366 != _u14368) | ( c_Random_Oinc__shift(_u14366, _u14368) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.17/12.42 cnf(fact_inc__shift__def-2, axiom, ( ( _u14367 = _u14369) | ( c_Random_Oinc__shift(_u14367, _u14369) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14369), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_range ( axiom ) converted to clauses:
% 12.17/12.42 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)), _u14370)) | 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(_u14370), _u14371))), _u14370)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14372, _u14372), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14372, _u14372), _u14373)), c_Transitive__Closure_Ortrancl(_u14372, _u14373)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14372, _u14372), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14372, _u14372)), hAPP(hAPP(c_Product__Type_OPair(_u14372, _u14372), _u14374), _u14374)), c_Transitive__Closure_Otrancl(_u14372, _u14373))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), hAPP(_u14377, hAPP(c_Nat_OSuc, skolem353(_u14380, _u14379, _u14378, _u14377, _u14376)))), hAPP(_u14377, skolem353(_u14380, _u14379, _u14378, _u14377, _u14376)))), c_Transitive__Closure_Ortrancl(_u14376, _u14378))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), hAPP(_u14377, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14379), _u14380))), hAPP(_u14377, _u14379))), c_Transitive__Closure_Ortrancl(_u14376, _u14378))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14383, hAPP(c_Relation_Oconverse(_u14383, _u14383), _u14385)) | c_Wellfounded_Oacyclic(_u14383, _u14385) )).
% 12.17/12.42 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14384, _u14386) | c_Wellfounded_Oacyclic(_u14384, hAPP(c_Relation_Oconverse(_u14384, _u14384), _u14386)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14387, _u14388), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14389, tc_fun(tc_prod(_u14387, _u14388), tc_HOL_Obool)), _u14390), _u14391)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14389, tc_fun(tc_prod(_u14388, _u14387), tc_HOL_Obool)), _u14390), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14387, _u14388), tc_HOL_Obool), tc_fun(tc_prod(_u14388, _u14387), tc_HOL_Obool), _u14389), c_Relation_Oconverse(_u14387, _u14388)), _u14391))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14392, _u14393), hAPP(hAPP(c_Relation_Orel__comp(_u14392, _u14394, _u14393), _u14395), _u14396)) = hAPP(hAPP(c_Relation_Orel__comp(_u14393, _u14394, _u14392), hAPP(c_Relation_Oconverse(_u14394, _u14393), _u14396)), hAPP(c_Relation_Oconverse(_u14392, _u14394), _u14395))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14397, _u14398), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14397, _u14398), tc_HOL_Obool)), _u14399), _u14400)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14398, _u14397), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14397, _u14398), _u14399)), hAPP(c_Relation_Oconverse(_u14397, _u14398), _u14400))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14401, _u14401), c_Relation_OId__on(_u14401, _u14402)) = c_Relation_OId__on(_u14401, _u14402)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14403, _u14403), hAPP(hAPP(c_Relation_Oinv__image(_u14404, _u14403), _u14405), _u14406)) = hAPP(hAPP(c_Relation_Oinv__image(_u14404, _u14403), hAPP(c_Relation_Oconverse(_u14404, _u14404), _u14405)), _u14406)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14407, _u14408), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14407, _u14408), tc_HOL_Obool)), _u14409), _u14410)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14408, _u14407), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14407, _u14408), _u14409)), hAPP(c_Relation_Oconverse(_u14407, _u14408), _u14410))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14411, _u14412), hAPP(c_Relation_Oconverse(_u14412, _u14411), _u14413)) = _u14413) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14417, _u14419)), hAPP(c_Relation_Oconverse(_u14419, _u14417), _u14421))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14419, _u14417)), _u14421)) )).
% 12.17/12.42 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14420, _u14418)), _u14422)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14418, _u14420)), hAPP(c_Relation_Oconverse(_u14420, _u14418), _u14422))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u14423), hAPP(c_Relation_Oconverse(_u14423, _u14423), _u14424)) = hAPP(c_Relation_OField(_u14423), _u14424)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14430, _u14432)), hAPP(hAPP(c_Product__Type_OPair(_u14430, _u14432), _u14434), _u14436)), hAPP(c_Relation_Oconverse(_u14432, _u14430), _u14438))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14432, _u14430)), hAPP(hAPP(c_Product__Type_OPair(_u14432, _u14430), _u14436), _u14434)), _u14438)) )).
% 12.17/12.42 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14433, _u14431)), hAPP(hAPP(c_Product__Type_OPair(_u14433, _u14431), _u14437), _u14435)), _u14439)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14431, _u14433)), hAPP(hAPP(c_Product__Type_OPair(_u14431, _u14433), _u14435), _u14437)), hAPP(c_Relation_Oconverse(_u14433, _u14431), _u14439))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converseI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14440, _u14441)), hAPP(hAPP(c_Product__Type_OPair(_u14440, _u14441), _u14442), _u14443)), _u14444)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14441, _u14440)), hAPP(hAPP(c_Product__Type_OPair(_u14441, _u14440), _u14443), _u14442)), hAPP(c_Relation_Oconverse(_u14440, _u14441), _u14444))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converseD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14445, _u14446)), hAPP(hAPP(c_Product__Type_OPair(_u14445, _u14446), _u14447), _u14448)), hAPP(c_Relation_Oconverse(_u14446, _u14445), _u14449))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14446, _u14445)), hAPP(hAPP(c_Product__Type_OPair(_u14446, _u14445), _u14448), _u14447)), _u14449)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u14453, _u14455, hAPP(c_Relation_Oconverse(_u14453, _u14453), _u14457)) | c_Relation_Orefl__on(_u14453, _u14455, _u14457) )).
% 12.17/12.42 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u14454, _u14456, _u14458) | c_Relation_Orefl__on(_u14454, _u14456, hAPP(c_Relation_Oconverse(_u14454, _u14454), _u14458)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14459, _u14460), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14461, tc_fun(tc_prod(_u14459, _u14460), tc_HOL_Obool)), _u14462), _u14463)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14461, tc_fun(tc_prod(_u14460, _u14459), tc_HOL_Obool)), _u14462), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14459, _u14460), tc_HOL_Obool), tc_fun(tc_prod(_u14460, _u14459), tc_HOL_Obool), _u14461), c_Relation_Oconverse(_u14459, _u14460)), _u14463))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14464, hAPP(c_Relation_Oconverse(_u14464, _u14464), _u14465)) = hAPP(c_Relation_Oconverse(_u14464, _u14464), c_Transitive__Closure_Otrancl(_u14464, _u14465))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14466, hAPP(c_Relation_Oconverse(_u14466, _u14466), _u14467)) = hAPP(c_Relation_Oconverse(_u14466, _u14466), c_Transitive__Closure_Ortrancl(_u14466, _u14467))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14468, hAPP(c_Relation_Oconverse(_u14468, _u14468), _u14469)) | c_Wellfounded_Owf(_u14468, hAPP(c_Relation_Oconverse(_u14468, _u14468), c_Transitive__Closure_Otrancl(_u14468, _u14469))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14470, _u14471, _u14472) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14470, _u14470, _u14470), hAPP(c_Relation_Oconverse(_u14470, _u14470), _u14472)), _u14472) = _u14472) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u14473, _u14474), hAPP(c_Relation_Oconverse(_u14474, _u14473), _u14475)) = hAPP(c_Relation_ODomain(_u14474, _u14473), _u14475)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14476, _u14477), hAPP(c_Relation_Oconverse(_u14477, _u14476), _u14478)) = hAPP(c_Relation_ORange(_u14477, _u14476), _u14478)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u14479, _u14480), _u14481) = hAPP(c_Relation_ODomain(_u14480, _u14479), hAPP(c_Relation_Oconverse(_u14479, _u14480), _u14481))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14482, _u14482)), hAPP(hAPP(c_Product__Type_OPair(_u14482, _u14482), _u14483), _u14484)), c_Transitive__Closure_Ortrancl(_u14482, _u14485))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14482, _u14482)), hAPP(hAPP(c_Product__Type_OPair(_u14482, _u14482), _u14484), _u14483)), c_Transitive__Closure_Ortrancl(_u14482, hAPP(c_Relation_Oconverse(_u14482, _u14482), _u14485)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14487), _u14488)), c_Transitive__Closure_Ortrancl(_u14486, hAPP(c_Relation_Oconverse(_u14486, _u14486), _u14489)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14488), _u14487)), c_Transitive__Closure_Ortrancl(_u14486, _u14489))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14490, _u14490)), hAPP(hAPP(c_Product__Type_OPair(_u14490, _u14490), _u14491), _u14492)), hAPP(c_Relation_Oconverse(_u14490, _u14490), c_Transitive__Closure_Otrancl(_u14490, _u14493)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14490, _u14490)), hAPP(hAPP(c_Product__Type_OPair(_u14490, _u14490), _u14491), _u14492)), c_Transitive__Closure_Otrancl(_u14490, hAPP(c_Relation_Oconverse(_u14490, _u14490), _u14493)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14494, _u14494)), hAPP(hAPP(c_Product__Type_OPair(_u14494, _u14494), _u14495), _u14496)), c_Transitive__Closure_Otrancl(_u14494, hAPP(c_Relation_Oconverse(_u14494, _u14494), _u14497)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14494, _u14494)), hAPP(hAPP(c_Product__Type_OPair(_u14494, _u14494), _u14495), _u14496)), hAPP(c_Relation_Oconverse(_u14494, _u14494), c_Transitive__Closure_Otrancl(_u14494, _u14497)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14503, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14505, _u14503, _u14507), _u14509)), _u14511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14505, tc_HOL_Obool)), _u14509), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14505, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14503, _u14505, hAPP(c_Relation_Oconverse(_u14505, _u14503), _u14507)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14503, tc_HOL_Obool)), _u14511))))) )).
% 12.17/12.42 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14506, tc_HOL_Obool)), _u14510), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14506, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14504, _u14506, hAPP(c_Relation_Oconverse(_u14506, _u14504), _u14508)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14504, tc_HOL_Obool)), _u14512))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14504, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14506, _u14504, _u14508), _u14510)), _u14512)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u14513, _u14514, _u14515) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14513, _u14513), tc_HOL_Obool)), _u14515), hAPP(hAPP(c_Relation_Orel__comp(_u14513, _u14513, _u14513), hAPP(c_Relation_Oconverse(_u14513, _u14513), _u14515)), _u14515))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14516, _u14516, _u14516), hAPP(c_Relation_Oconverse(_u14516, _u14516), _u14517)), _u14517) != _u14517) | ( hAPP(c_Relation_ODomain(_u14516, _u14516), _u14517) != _u14518) | c_Equiv__Relations_Oequiv(_u14516, _u14518, _u14517) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14519, _u14519)), _u14520)) | ~c_Wellfounded_Oacyclic(_u14519, _u14520) | c_Wellfounded_Owf(_u14519, hAPP(c_Relation_Oconverse(_u14519, _u14519), _u14520)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14521, _u14522), _u14523) = hAPP(c_Set_OCollect(tc_prod(_u14522, _u14521)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14522, _u14521, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14522, tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_fun(_u14521, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14521, tc_fun(tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_fun(_u14521, tc_HOL_Obool)), _u14522), c_COMBC(_u14521, tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14521, tc_prod(_u14521, _u14522)), tc_fun(_u14521, tc_fun(tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_HOL_Obool)), _u14522), hAPP(c_COMBB(tc_prod(_u14521, _u14522), tc_fun(tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_HOL_Obool), _u14521), c_member(tc_prod(_u14521, _u14522)))), hAPP(c_COMBC(_u14521, _u14522, tc_prod(_u14521, _u14522)), c_Product__Type_OPair(_u14521, _u14522))))), _u14523)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14524, _u14525, hAPP(c_Relation_Oconverse(_u14525, _u14524), _u14526)) | ( _u14527 = c_Orderings_Obot__class_Obot(tc_fun(_u14528, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14525, _u14524, _u14526), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14528, tc_fun(_u14525, tc_HOL_Obool)), _u14527), _u14529)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14528, tc_fun(_u14524, tc_HOL_Obool)), _u14527), hAPP(hAPP(c_COMBB(tc_fun(_u14525, tc_HOL_Obool), tc_fun(_u14524, tc_HOL_Obool), _u14528), c_Relation_OImage(_u14525, _u14524, _u14526)), _u14529))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14534, tc_fun(_u14534, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14534, tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_fun(_u14534, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14534, tc_fun(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_fun(_u14534, tc_HOL_Obool)), _u14534), c_COMBC(_u14534, tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14534, tc_prod(_u14534, _u14534)), tc_fun(_u14534, tc_fun(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_HOL_Obool)), _u14534), hAPP(c_COMBB(tc_prod(_u14534, _u14534), tc_fun(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_HOL_Obool), _u14534), c_member(tc_prod(_u14534, _u14534)))), c_Product__Type_OPair(_u14534, _u14534)))), _u14536)), c_fequal), _u14538), _u14540)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14534, _u14534)), hAPP(hAPP(c_Product__Type_OPair(_u14534, _u14534), _u14538), _u14540)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool)), _u14536), c_Relation_OId(_u14534)))) )).
% 12.17/12.42 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14535, _u14535)), hAPP(hAPP(c_Product__Type_OPair(_u14535, _u14535), _u14539), _u14541)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool)), _u14537), c_Relation_OId(_u14535)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14535, tc_fun(_u14535, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14535, tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_fun(_u14535, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14535, tc_fun(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_fun(_u14535, tc_HOL_Obool)), _u14535), c_COMBC(_u14535, tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14535, tc_prod(_u14535, _u14535)), tc_fun(_u14535, tc_fun(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_HOL_Obool)), _u14535), hAPP(c_COMBB(tc_prod(_u14535, _u14535), tc_fun(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_HOL_Obool), _u14535), c_member(tc_prod(_u14535, _u14535)))), c_Product__Type_OPair(_u14535, _u14535)))), _u14537)), c_fequal), _u14539), _u14541)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_IdI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14542, _u14542)), hAPP(hAPP(c_Product__Type_OPair(_u14542, _u14542), _u14543), _u14543)), c_Relation_OId(_u14542))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14544, _u14544), c_Relation_OId(_u14544)) = c_Relation_OId(_u14544)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14545, _u14546), tc_HOL_Obool)), _u14547), _u14548)) | ~c_Relation_Osingle__valued(_u14545, _u14546, _u14548) | c_Relation_Osingle__valued(_u14545, _u14546, _u14547) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u14549, _u14550, _u14551) | ~c_Relation_Osingle__valued(_u14550, _u14552, _u14553) | c_Relation_Osingle__valued(_u14549, _u14552, hAPP(hAPP(c_Relation_Orel__comp(_u14549, _u14550, _u14552), _u14551), _u14553)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u14554, _u14554, c_Relation_OId(_u14554)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u14555, _u14555, c_Relation_OId(_u14555)), _u14556) = _u14556) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14557, _u14557, _u14558), c_Relation_OId(_u14557)), _u14559) = _u14559) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14560, _u14561, _u14561), _u14562), c_Relation_OId(_u14561)) = _u14562) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u14563, _u14563, c_Relation_OId__on(_u14563, _u14564)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u14570 = _u14572) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14570), _u14572)), c_Relation_OId(_u14568))) )).
% 12.17/12.42 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u14571 != _u14573) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14569, _u14569)), hAPP(hAPP(c_Product__Type_OPair(_u14569, _u14569), _u14571), _u14573)), c_Relation_OId(_u14569))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14574, _u14574), c_Relation_OId(_u14574)) = c_Orderings_Otop__class_Otop(tc_fun(_u14574, tc_HOL_Obool))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14575, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14575, _u14575), tc_HOL_Obool))) = c_Relation_OId(_u14575)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u14576, _u14576), c_Relation_OId(_u14576)) = c_Orderings_Otop__class_Otop(tc_fun(_u14576, tc_HOL_Obool))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14577, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14577, _u14577), tc_HOL_Obool)), _u14578), c_Relation_OId(_u14577))) = c_Transitive__Closure_Ortrancl(_u14577, _u14578)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14579, _u14579), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14579, _u14580)), c_Relation_OId(_u14579)) = c_Transitive__Closure_Ortrancl(_u14579, _u14580)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u14581, c_Orderings_Otop__class_Otop(tc_fun(_u14581, tc_HOL_Obool)), c_Relation_OId(_u14581)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14582, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14582, _u14582), tc_HOL_Obool)), _u14583), c_Relation_OId(_u14582))) = c_Transitive__Closure_Ortrancl(_u14582, _u14583)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u14584, _u14585, _u14586) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14584, _u14585)), hAPP(hAPP(c_Product__Type_OPair(_u14584, _u14585), _u14587), _u14588)), _u14586)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14584, _u14585)), hAPP(hAPP(c_Product__Type_OPair(_u14584, _u14585), _u14587), _u14589)), _u14586)) | ( _u14588 = _u14589) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u14599, _u14601, _u14603) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14601)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14601), _u14592), _u14591)), _u14603)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14601)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14601), _u14592), _u14590)), _u14603)) | ( _u14591 = _u14590) )).
% 12.17/12.42 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u14600, _u14602, _u14604) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14600, _u14602)), hAPP(hAPP(c_Product__Type_OPair(_u14600, _u14602), skolem354(_u14604, _u14602, _u14600)), skolem355(_u14604, _u14602, _u14600))), _u14604)) )).
% 12.17/12.42 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u14600, _u14602, _u14604) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14600, _u14602)), hAPP(hAPP(c_Product__Type_OPair(_u14600, _u14602), skolem354(_u14604, _u14602, _u14600)), skolem356(_u14604, _u14602, _u14600))), _u14604)) )).
% 12.17/12.42 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u14600, _u14602, _u14604) | ( skolem355(_u14604, _u14602, _u14600) != skolem356(_u14604, _u14602, _u14600)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 12.17/12.42 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)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14605, _u14605), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14605, _u14606)), c_Relation_OId(_u14605)) = c_Transitive__Closure_Ortrancl(_u14605, _u14606)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14607, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14607, _u14607), tc_HOL_Obool)), _u14608), c_Relation_OId(_u14607))) = c_Transitive__Closure_Ortrancl(_u14607, _u14608)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14609, _u14610) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14609, _u14609), tc_HOL_Obool)), c_Relation_OId(_u14609)), hAPP(hAPP(c_Relation_Orel__comp(_u14609, _u14609, _u14609), c_Transitive__Closure_Ortrancl(_u14609, _u14610)), _u14610))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u14611, c_Orderings_Otop__class_Otop(tc_fun(_u14611, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14611, _u14611), tc_HOL_Obool)), _u14612), c_Relation_OId(_u14611))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u14613) = hAPP(c_Set_OCollect(tc_prod(_u14613, _u14613)), hAPP(hAPP(c_COMBB(tc_fun(_u14613, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14613, _u14613)), c_HOL_OEx(_u14613)), hAPP(hAPP(c_COMBC(tc_prod(_u14613, _u14613), tc_fun(_u14613, tc_prod(_u14613, _u14613)), tc_fun(_u14613, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14613, _u14613), tc_HOL_Obool), tc_fun(tc_fun(_u14613, tc_prod(_u14613, _u14613)), tc_fun(_u14613, tc_HOL_Obool)), tc_prod(_u14613, _u14613)), c_COMBB(tc_prod(_u14613, _u14613), tc_HOL_Obool, _u14613)), c_fequal)), hAPP(hAPP(c_COMBS(_u14613, _u14613, tc_prod(_u14613, _u14613)), c_Product__Type_OPair(_u14613, _u14613)), c_COMBI(_u14613)))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u14614, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14614, _u14614), tc_HOL_Obool)), _u14615), c_Relation_OId(_u14614))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u14616, _u14616, _u14617) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14616, _u14616)), hAPP(hAPP(c_Product__Type_OPair(_u14616, _u14616), _u14618), _u14619)), c_Transitive__Closure_Ortrancl(_u14616, _u14617))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14616, _u14616)), hAPP(hAPP(c_Product__Type_OPair(_u14616, _u14616), _u14618), _u14620)), c_Transitive__Closure_Ortrancl(_u14616, _u14617))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14616, _u14616)), hAPP(hAPP(c_Product__Type_OPair(_u14616, _u14616), _u14619), _u14620)), c_Transitive__Closure_Ortrancl(_u14616, _u14617))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14616, _u14616)), hAPP(hAPP(c_Product__Type_OPair(_u14616, _u14616), _u14620), _u14619)), c_Transitive__Closure_Ortrancl(_u14616, _u14617))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14621, _u14622, hAPP(c_Relation_Oconverse(_u14622, _u14621), _u14623)) | ( hAPP(c_Relation_OImage(_u14622, _u14621, _u14623), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14622, tc_HOL_Obool)), _u14624), _u14625)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14621, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14622, _u14621, _u14623), _u14624)), hAPP(c_Relation_OImage(_u14622, _u14621, _u14623), _u14625))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14626, _u14626), tc_HOL_Obool)), c_Relation_OId(_u14626)), _u14627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14626, _u14626), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14626, _u14626, _u14626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14626, _u14626), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14626, _u14628)), _u14627)), _u14628)), _u14627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14626, _u14626), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14626, _u14628)), _u14627)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u14632, _u14634, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14632, _u14632), tc_HOL_Obool)), _u14636), c_Relation_OId(_u14632))) | c_Relation_Ototal__on(_u14632, _u14634, _u14636) )).
% 12.17/12.42 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u14633, _u14635, _u14637) | c_Relation_Ototal__on(_u14633, _u14635, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14633, _u14633), tc_HOL_Obool)), _u14637), c_Relation_OId(_u14633))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14638, _u14638)), _u14639), c_Transitive__Closure_Ortrancl(_u14638, _u14640))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14638, _u14638)), _u14639), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14638, _u14638), 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(_u14638, _u14638), tc_HOL_Obool), tc_fun(tc_prod(_u14638, _u14638), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14638, _u14638), tc_HOL_Obool)), _u14640)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u14641, _u14641, _u14642) | c_Relation_Osingle__valued(_u14641, _u14641, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14641, _u14641), tc_HOL_Obool), _u14643), _u14642)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14644, _u14645), tc_fun(_u14644, _u14645)), _u14646), c_Fun_Ocomp(_u14645, _u14645, _u14644, _u14647)) = c_Fun_Ocomp(_u14645, _u14645, _u14644, hAPP(hAPP(c_Nat_Ocompow(_u14645, _u14645), _u14646), _u14647))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u14648, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14648, _u14648), tc_HOL_Obool), _u14649), _u14650)) | c_Wellfounded_Owf(_u14648, _u14650) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14651, _u14651), _u14652), hAPP(hAPP(c_Nat_Ocompow(_u14651, _u14651), _u14653), _u14654)) = hAPP(hAPP(c_Nat_Ocompow(_u14651, _u14651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14653), _u14652)), _u14654)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u14655, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14656, _u14656), _u14657), _u14655), _u14658)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14656, _u14656), _u14657), _u14655), hAPP(_u14655, _u14658))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14659, _u14659), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14660) = _u14660) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14661, _u14661, _u14661), _u14662), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14661, _u14661), tc_HOL_Obool), _u14663), _u14662)) = hAPP(hAPP(c_Relation_Orel__comp(_u14661, _u14661, _u14661), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14661, _u14661), tc_HOL_Obool), _u14663), _u14662)), _u14662)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14664, _u14664)), _u14665), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14664, _u14664), tc_HOL_Obool), _u14666), _u14667))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14664, _u14664)), _u14665), c_Transitive__Closure_Ortrancl(_u14664, _u14667))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14673, _u14673)), _u14675), c_Transitive__Closure_Ortrancl(_u14673, _u14677))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14673, _u14673)), _u14675), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14673, _u14673), tc_HOL_Obool), skolem357(_u14677, _u14675, _u14673)), _u14677))) )).
% 12.17/12.42 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14674, _u14674)), _u14676), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14674, _u14674), tc_HOL_Obool), _u14669), _u14678))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14674, _u14674)), _u14676), c_Transitive__Closure_Ortrancl(_u14674, _u14678))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14679, _u14679), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14680)), _u14681) = hAPP(hAPP(c_Relation_Orel__comp(_u14679, _u14679, _u14679), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14679, _u14679), tc_HOL_Obool), _u14680), _u14681)), _u14681)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14682, _u14682), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14683), _u14684)), _u14685) = hAPP(hAPP(c_Relation_Orel__comp(_u14682, _u14682, _u14682), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14682, _u14682), tc_HOL_Obool), _u14683), _u14685)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14682, _u14682), tc_HOL_Obool), _u14684), _u14685))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14686, _u14686), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14687) = c_Relation_OId(_u14686)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u14688, c_Orderings_Obot__class_Obot(tc_fun(_u14688, tc_HOL_Obool)), _u14689) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u14693, _u14695, hAPP(c_Relation_Oconverse(_u14693, _u14693), _u14697)) | c_Relation_Ototal__on(_u14693, _u14695, _u14697) )).
% 12.17/12.42 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u14694, _u14696, _u14698) | c_Relation_Ototal__on(_u14694, _u14696, hAPP(c_Relation_Oconverse(_u14694, _u14694), _u14698)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14699, _u14699)), hAPP(hAPP(c_Product__Type_OPair(_u14699, _u14699), _u14700), _u14700)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14699, _u14699), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14701))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u14703 = _u14704) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14702, _u14702)), hAPP(hAPP(c_Product__Type_OPair(_u14702, _u14702), _u14703), _u14704)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14702, _u14702), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14705))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14706)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14706), _u14707), _u14708)), _u14709)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14706)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14706), _u14708), _u14710)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14706, _u14706), tc_HOL_Obool), _u14711), _u14709))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14706)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14706), _u14707), _u14710)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14706, _u14706), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14711)), _u14709))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14712, _u14712)), hAPP(hAPP(c_Product__Type_OPair(_u14712, _u14712), _u14713), _u14714)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14712, _u14712), tc_HOL_Obool), _u14715), _u14716))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14712, _u14712)), hAPP(hAPP(c_Product__Type_OPair(_u14712, _u14712), _u14714), _u14717)), _u14716)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14712, _u14712)), hAPP(hAPP(c_Product__Type_OPair(_u14712, _u14712), _u14713), _u14717)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14712, _u14712), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14715)), _u14716))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14718, _u14718), hAPP(c_Nat_OSuc, _u14719)), _u14720) = hAPP(c_Fun_Ocomp(_u14718, _u14718, _u14718, _u14720), hAPP(hAPP(c_Nat_Ocompow(_u14718, _u14718), _u14719), _u14720))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14721, _u14721), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14722), _u14723)), _u14724) = hAPP(c_Fun_Ocomp(_u14721, _u14721, _u14721, hAPP(hAPP(c_Nat_Ocompow(_u14721, _u14721), _u14722), _u14724)), hAPP(hAPP(c_Nat_Ocompow(_u14721, _u14721), _u14723), _u14724))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14725, _u14725), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14726) = c_Fun_Oid(_u14725)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), _u14734), c_Transitive__Closure_Otrancl(_u14732, _u14736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem358(_u14736, _u14734, _u14732))) )).
% 12.17/12.42 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), _u14734), c_Transitive__Closure_Otrancl(_u14732, _u14736))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), _u14734), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14732, _u14732), tc_HOL_Obool), skolem358(_u14736, _u14734, _u14732)), _u14736))) )).
% 12.17/12.42 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)), _u14728)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14733, _u14733)), _u14735), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14733, _u14733), tc_HOL_Obool), _u14728), _u14737))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14733, _u14733)), _u14735), c_Transitive__Closure_Otrancl(_u14733, _u14737))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u14745, _u14747, _u14749) | ~hBOOL(hAPP(hAPP(c_member(_u14745), _u14739), _u14747)) | ~hBOOL(hAPP(hAPP(c_member(_u14745), _u14738), _u14747)) | ( _u14739 = _u14738) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14745, _u14745)), hAPP(hAPP(c_Product__Type_OPair(_u14745, _u14745), _u14739), _u14738)), _u14749)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14745, _u14745)), hAPP(hAPP(c_Product__Type_OPair(_u14745, _u14745), _u14738), _u14739)), _u14749)) )).
% 12.17/12.42 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | hBOOL(hAPP(hAPP(c_member(_u14746), skolem359(_u14750, _u14748, _u14746)), _u14748)) )).
% 12.17/12.42 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | hBOOL(hAPP(hAPP(c_member(_u14746), skolem360(_u14750, _u14748, _u14746)), _u14748)) )).
% 12.17/12.42 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | ( skolem359(_u14750, _u14748, _u14746) != skolem360(_u14750, _u14748, _u14746)) )).
% 12.17/12.42 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14746, _u14746)), hAPP(hAPP(c_Product__Type_OPair(_u14746, _u14746), skolem359(_u14750, _u14748, _u14746)), skolem360(_u14750, _u14748, _u14746))), _u14750)) )).
% 12.17/12.42 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14746, _u14746)), hAPP(hAPP(c_Product__Type_OPair(_u14746, _u14746), skolem360(_u14750, _u14748, _u14746)), skolem359(_u14750, _u14748, _u14746))), _u14750)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14751, _u14752) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14751, _u14751), 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(_u14751, _u14751), tc_HOL_Obool), tc_fun(tc_prod(_u14751, _u14751), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14751, _u14751), tc_HOL_Obool)), _u14752))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u14753) = c_Nat_Ocompow(_u14753, _u14753)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14759 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14759 = hAPP(c_Nat_OSuc, skolem362(_u14760, _u14759, _u14758, _u14757, _u14756))) )).
% 12.17/12.42 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14759 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), skolem361(_u14760, _u14759, _u14758, _u14757, _u14756))), _u14760)) )).
% 12.17/12.42 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14759 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), skolem361(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), skolem362(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14760))) )).
% 12.17/12.42 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14757 = _u14758) | ( _u14759 = hAPP(c_Nat_OSuc, skolem362(_u14760, _u14759, _u14758, _u14757, _u14756))) )).
% 12.17/12.42 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14757 = _u14758) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), skolem361(_u14760, _u14759, _u14758, _u14757, _u14756))), _u14760)) )).
% 12.17/12.42 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14757 = _u14758) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), skolem361(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), skolem362(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14760))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14766 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14766 = hAPP(c_Nat_OSuc, skolem364(_u14767, _u14766, _u14765, _u14764, _u14763))) )).
% 12.17/12.42 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14766 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), skolem363(_u14767, _u14766, _u14765, _u14764, _u14763))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), skolem364(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14767))) )).
% 12.17/12.42 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14766 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), skolem363(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14765)), _u14767)) )).
% 12.17/12.42 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14764 = _u14765) | ( _u14766 = hAPP(c_Nat_OSuc, skolem364(_u14767, _u14766, _u14765, _u14764, _u14763))) )).
% 12.17/12.42 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14764 = _u14765) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), skolem363(_u14767, _u14766, _u14765, _u14764, _u14763))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), skolem364(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14767))) )).
% 12.17/12.42 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14764 = _u14765) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), skolem363(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14765)), _u14767)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14769)), hAPP(hAPP(c_Product__Type_OPair(_u14769, _u14769), skolem365(_u14770, _u14769)), skolem365(_u14770, _u14769))), c_Transitive__Closure_Otrancl(_u14769, _u14770))) | c_Wellfounded_Oacyclic(_u14769, _u14770) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14773, _u14773), tc_HOL_Obool)), _u14776), _u14777)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, _u14776))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), skolem366(_u14777, _u14776, _u14775, _u14774, _u14773)), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, _u14776))) )).
% 12.17/12.42 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14773, _u14773), tc_HOL_Obool)), _u14776), _u14777)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, _u14776))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), skolem367(_u14777, _u14776, _u14775, _u14774, _u14773)), skolem366(_u14777, _u14776, _u14775, _u14774, _u14773))), _u14777)) )).
% 12.17/12.42 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14773, _u14773), tc_HOL_Obool)), _u14776), _u14777)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, _u14776))) | ( skolem367(_u14777, _u14776, _u14775, _u14774, _u14773) != skolem366(_u14777, _u14776, _u14775, _u14774, _u14773)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14780, _u14780), tc_HOL_Obool)), _u14783), _u14784)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, _u14783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), skolem368(_u14784, _u14783, _u14782, _u14781, _u14780))), c_Transitive__Closure_Ortrancl(_u14780, _u14783))) )).
% 12.17/12.42 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14780, _u14780), tc_HOL_Obool)), _u14783), _u14784)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, _u14783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), skolem368(_u14784, _u14783, _u14782, _u14781, _u14780)), skolem369(_u14784, _u14783, _u14782, _u14781, _u14780))), _u14784)) )).
% 12.17/12.42 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14780, _u14780), tc_HOL_Obool)), _u14783), _u14784)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, _u14783))) | ( skolem368(_u14784, _u14783, _u14782, _u14781, _u14780) != skolem369(_u14784, _u14783, _u14782, _u14781, _u14780)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_Product__Type_OPair(_u14786, _u14786), _u14787), _u14788)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14786, _u14786), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14789)), _u14790))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_Product__Type_OPair(_u14786, _u14786), _u14787), skolem370(_u14790, _u14789, _u14788, _u14787, _u14786))), _u14790)) )).
% 12.17/12.42 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_Product__Type_OPair(_u14786, _u14786), _u14787), _u14788)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14786, _u14786), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14789)), _u14790))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_Product__Type_OPair(_u14786, _u14786), skolem370(_u14790, _u14789, _u14788, _u14787, _u14786)), _u14788)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14786, _u14786), tc_HOL_Obool), _u14789), _u14790))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14795)), _u14796))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), skolem371(_u14796, _u14795, _u14794, _u14793, _u14792))), _u14796)) )).
% 12.17/12.42 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14795)), _u14796))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), skolem371(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14798, _u14798)), hAPP(hAPP(c_Product__Type_OPair(_u14798, _u14798), _u14799), _u14800)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14798, _u14798), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14801)), _u14802))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14798, _u14798)), hAPP(hAPP(c_Product__Type_OPair(_u14798, _u14798), _u14799), skolem372(_u14802, _u14801, _u14800, _u14799, _u14798))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14798, _u14798), tc_HOL_Obool), _u14801), _u14802))) )).
% 12.17/12.42 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14798, _u14798)), hAPP(hAPP(c_Product__Type_OPair(_u14798, _u14798), _u14799), _u14800)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14798, _u14798), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14801)), _u14802))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14798, _u14798)), hAPP(hAPP(c_Product__Type_OPair(_u14798, _u14798), skolem372(_u14802, _u14801, _u14800, _u14799, _u14798)), _u14800)), _u14802)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14804, _u14804)), hAPP(hAPP(c_Product__Type_OPair(_u14804, _u14804), _u14805), _u14806)), c_Transitive__Closure_Otrancl(_u14804, _u14807))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14804, _u14804)), hAPP(hAPP(c_Product__Type_OPair(_u14804, _u14804), _u14805), skolem373(_u14807, _u14806, _u14805, _u14804))), c_Transitive__Closure_Ortrancl(_u14804, _u14807))) )).
% 12.17/12.42 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14804, _u14804)), hAPP(hAPP(c_Product__Type_OPair(_u14804, _u14804), _u14805), _u14806)), c_Transitive__Closure_Otrancl(_u14804, _u14807))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14804, _u14804)), hAPP(hAPP(c_Product__Type_OPair(_u14804, _u14804), skolem373(_u14807, _u14806, _u14805, _u14804)), _u14806)), _u14807)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14809, _u14809)), hAPP(hAPP(c_Product__Type_OPair(_u14809, _u14809), _u14810), _u14811)), c_Transitive__Closure_Otrancl(_u14809, _u14812))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14809, _u14809)), hAPP(hAPP(c_Product__Type_OPair(_u14809, _u14809), _u14810), skolem374(_u14812, _u14811, _u14810, _u14809))), _u14812)) )).
% 12.17/12.42 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14809, _u14809)), hAPP(hAPP(c_Product__Type_OPair(_u14809, _u14809), _u14810), _u14811)), c_Transitive__Closure_Otrancl(_u14809, _u14812))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14809, _u14809)), hAPP(hAPP(c_Product__Type_OPair(_u14809, _u14809), skolem374(_u14812, _u14811, _u14810, _u14809)), _u14811)), c_Transitive__Closure_Ortrancl(_u14809, _u14812))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_IdE ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14814, _u14814)), _u14815), c_Relation_OId(_u14814))) | ( _u14815 = hAPP(hAPP(c_Product__Type_OPair(_u14814, _u14814), skolem375(_u14815, _u14814)), skolem375(_u14815, _u14814))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem376(_u14821, _u14820, _u14819, _u14818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem377(_u14821, _u14820, _u14819, _u14818))) )).
% 12.17/12.42 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem376(_u14821, _u14820, _u14819, _u14818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem377(_u14821, _u14820, _u14819, _u14818)), _u14819)) )).
% 12.17/12.42 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem376(_u14821, _u14820, _u14819, _u14818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | ( hAPP(_u14820, skolem377(_u14821, _u14820, _u14819, _u14818)) = _u14821) )).
% 12.17/12.42 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem377(_u14821, _u14820, _u14819, _u14818))) )).
% 12.17/12.42 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem377(_u14821, _u14820, _u14819, _u14818)), _u14819)) )).
% 12.17/12.42 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | ( hAPP(_u14820, skolem377(_u14821, _u14820, _u14819, _u14818)) = _u14821) )).
% 12.17/12.42 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(_u14820, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14820, skolem376(_u14821, _u14820, _u14819, _u14818))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem377(_u14821, _u14820, _u14819, _u14818))) )).
% 12.17/12.42 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(_u14820, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14820, skolem376(_u14821, _u14820, _u14819, _u14818))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem377(_u14821, _u14820, _u14819, _u14818)), _u14819)) )).
% 12.17/12.42 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(_u14820, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14820, skolem376(_u14821, _u14820, _u14819, _u14818))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | ( hAPP(_u14820, skolem377(_u14821, _u14820, _u14819, _u14818)) = _u14821) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u14822) | ( _u14823 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14822), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14822), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u14822), _u14823), _u14824)), _u14824)), c_Divides_Odiv__class_Omod(_u14822, _u14823, _u14824))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u14835, _u14837) | ~hBOOL(hAPP(hAPP(c_member(_u14835), _u14825), _u14828)) | hBOOL(hAPP(hAPP(c_member(_u14835), skolem378(_u14837, _u14835, _u14828)), _u14828)) )).
% 12.17/12.42 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u14835, _u14837) | ~hBOOL(hAPP(hAPP(c_member(_u14835), _u14825), _u14828)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), _u14826), skolem378(_u14837, _u14835, _u14828))), _u14837)) | ~hBOOL(hAPP(hAPP(c_member(_u14835), _u14826), _u14828)) )).
% 12.17/12.42 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u14836, _u14838) | hBOOL(hAPP(hAPP(c_member(_u14836), skolem380(_u14838, _u14836)), skolem379(_u14838, _u14836))) )).
% 12.17/12.42 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u14836, _u14838) | ~hBOOL(hAPP(hAPP(c_member(_u14836), _u14831), skolem379(_u14838, _u14836))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14836, _u14836)), hAPP(hAPP(c_Product__Type_OPair(_u14836, _u14836), skolem381(_u14838, _u14836, _u14831)), _u14831)), _u14838)) )).
% 12.17/12.42 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u14836, _u14838) | ~hBOOL(hAPP(hAPP(c_member(_u14836), _u14831), skolem379(_u14838, _u14836))) | hBOOL(hAPP(hAPP(c_member(_u14836), skolem381(_u14838, _u14836, _u14831)), skolem379(_u14838, _u14836))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 12.17/12.42 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)))), _u14840)) = 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)))), _u14841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem382(_u14841, _u14840))) )).
% 12.17/12.42 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)))), _u14840)) = 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)))), _u14841))) | hBOOL(hAPP(_u14840, skolem382(_u14841, _u14840))) | hBOOL(hAPP(_u14841, skolem382(_u14841, _u14840))) )).
% 12.17/12.42 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)))), _u14840)) = 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)))), _u14841))) | ~hBOOL(hAPP(_u14841, skolem382(_u14841, _u14840))) | ~hBOOL(hAPP(_u14840, skolem382(_u14841, _u14840))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), _u14844), _u14845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14844), hAPP(c_Set_OCollect(_u14843), _u14846))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14845), hAPP(c_Set_OCollect(_u14843), _u14847)))) | hBOOL(hAPP(hAPP(c_member(_u14843), skolem383(_u14847, _u14846, _u14845, _u14844, _u14843)), _u14844)) )).
% 12.17/12.42 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), _u14844), _u14845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14844), hAPP(c_Set_OCollect(_u14843), _u14846))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14845), hAPP(c_Set_OCollect(_u14843), _u14847)))) | hBOOL(hAPP(_u14846, skolem383(_u14847, _u14846, _u14845, _u14844, _u14843))) )).
% 12.17/12.42 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), _u14844), _u14845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14844), hAPP(c_Set_OCollect(_u14843), _u14846))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14845), hAPP(c_Set_OCollect(_u14843), _u14847)))) | ~hBOOL(hAPP(_u14847, skolem383(_u14847, _u14846, _u14845, _u14844, _u14843))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14849), _u14850), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u14849, tc_HOL_Obool), _u14851))) | hBOOL(hAPP(hAPP(c_member(_u14849), _u14850), skolem384(_u14851, _u14850, _u14849))) )).
% 12.17/12.42 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14849), _u14850), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u14849, tc_HOL_Obool), _u14851))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u14849, tc_HOL_Obool)), skolem384(_u14851, _u14850, _u14849)), _u14851)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14856)), _u14857), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14858, _u14856), _u14859), _u14860))) | ( _u14857 = hAPP(hAPP(c_Product__Type_OPair(_u14855, _u14856), skolem385(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855)), skolem387(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855))) )).
% 12.17/12.42 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14856)), _u14857), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14858, _u14856), _u14859), _u14860))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14855, _u14858), skolem385(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855)), skolem386(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855))), _u14859)) )).
% 12.17/12.42 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14856)), _u14857), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14858, _u14856), _u14859), _u14860))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14856)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14856), skolem386(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855)), skolem387(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855))), _u14860)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_converseE ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14863, _u14864)), _u14865), hAPP(c_Relation_Oconverse(_u14864, _u14863), _u14866))) | ( _u14865 = hAPP(hAPP(c_Product__Type_OPair(_u14863, _u14864), skolem389(_u14866, _u14865, _u14864, _u14863)), skolem388(_u14866, _u14865, _u14864, _u14863))) )).
% 12.17/12.42 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14863, _u14864)), _u14865), hAPP(c_Relation_Oconverse(_u14864, _u14863), _u14866))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14863)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14863), skolem388(_u14866, _u14865, _u14864, _u14863)), skolem389(_u14866, _u14865, _u14864, _u14863))), _u14866)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u14867, _u14868, _u14869) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u14867), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u14867), _u14868), hAPP(c_Nitpick_Odenom(_u14867), _u14869))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u14867), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u14867), tc_Int_Oint), c_Nitpick_Ofrac(_u14867)), 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(_u14867), _u14868))), 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(_u14867), _u14868))))), 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(_u14867), _u14869))), 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(_u14867), _u14869)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_setprod__pos ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_setprod__pos-1, axiom, ( ~class_Rings_Olinordered__semidom(_u14871) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14871), c_Groups_Ozero__class_Ozero(_u14871)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14872, _u14871), _u14874), _u14873))) | hBOOL(hAPP(hAPP(c_member(_u14872), skolem390(_u14874, _u14873, _u14872, _u14871)), _u14873)) )).
% 12.17/12.42 cnf(fact_setprod__pos-2, axiom, ( ~class_Rings_Olinordered__semidom(_u14871) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14871), c_Groups_Ozero__class_Ozero(_u14871)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14872, _u14871), _u14874), _u14873))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14871), c_Groups_Ozero__class_Ozero(_u14871)), hAPP(_u14874, skolem390(_u14874, _u14873, _u14872, _u14871)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u14875, _u14876, _u14877) = hAPP(hAPP(c_Nitpick_Ofrac(_u14875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14875), _u14876)), hAPP(c_Nitpick_Onum(_u14875), _u14877))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u14875), _u14876)), hAPP(c_Nitpick_Odenom(_u14875), _u14877)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u14878) | ~class_Rings_Oring__1(_u14878) | ( c_Nitpick_Oof__frac(_u14879, _u14878, _u14880) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u14878), hAPP(c_Int_Oring__1__class_Oof__int(_u14878), hAPP(c_Nitpick_Onum(_u14879), _u14880))), hAPP(c_Int_Oring__1__class_Oof__int(_u14878), hAPP(c_Nitpick_Odenom(_u14879), _u14880)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u14881, _u14882) = hAPP(hAPP(c_Nitpick_Ofrac(_u14881), hAPP(c_Nitpick_Odenom(_u14881), _u14882)), hAPP(c_Nitpick_Onum(_u14881), _u14882))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u14883, _u14884) = c_Nitpick_OAbs__Frac(_u14883, 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(_u14883), _u14884))), hAPP(c_Nitpick_Odenom(_u14883), _u14884)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u14888, _u14890, _u14892) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14888), c_Nitpick_Oplus__frac(_u14888, _u14890, c_Nitpick_Ouminus__frac(_u14888, _u14892)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.42 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14889), c_Nitpick_Oplus__frac(_u14889, _u14891, c_Nitpick_Ouminus__frac(_u14889, _u14893)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u14889, _u14891, _u14893) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u14897, _u14899, _u14901) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14897), c_Nitpick_Oplus__frac(_u14897, _u14899, c_Nitpick_Ouminus__frac(_u14897, _u14901)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.42 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(_u14898), c_Nitpick_Oplus__frac(_u14898, _u14900, c_Nitpick_Ouminus__frac(_u14898, _u14902)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u14898, _u14900, _u14902) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u14903) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14903, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14903))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u14904) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14904, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14904))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u14905, _u14906, _u14907) = c_Product__Type_Oprod_Oprod__case(_u14905, _u14906, _u14907)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_setprod__nonneg ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_setprod__nonneg-1, axiom, ( ~class_Rings_Olinordered__semidom(_u14909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14909), c_Groups_Ozero__class_Ozero(_u14909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14910, _u14909), _u14912), _u14911))) | hBOOL(hAPP(hAPP(c_member(_u14910), skolem391(_u14912, _u14911, _u14910, _u14909)), _u14911)) )).
% 12.17/12.42 cnf(fact_setprod__nonneg-2, axiom, ( ~class_Rings_Olinordered__semidom(_u14909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14909), c_Groups_Ozero__class_Ozero(_u14909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14910, _u14909), _u14912), _u14911))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14909), c_Groups_Ozero__class_Ozero(_u14909)), hAPP(_u14912, skolem391(_u14912, _u14911, _u14910, _u14909)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u14913, _u14914, _u14915), _u14916), hAPP(hAPP(c_Product__Type_OPair(_u14913, _u14914), _u14917), _u14918)) = hAPP(hAPP(_u14916, _u14917), _u14918)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_finite__less__ub ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_finite__less__ub-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem392(_u14921, _u14920)), hAPP(_u14920, skolem392(_u14921, _u14920)))) | 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)), _u14920)), _u14921)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u14922, _u14923) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14922)), tc_List_Olist(_u14922)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14922), c_Wellfounded_Oless__than, c_List_Olex(_u14922, _u14923))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14922), tc_List_Olist(_u14922), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14922))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14922), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14922))), tc_List_Olist(_u14922)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14922))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14922)))), c_COMBI(tc_List_Olist(_u14922))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u14925 != _u14926) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14924)), _u14925) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14924)), _u14926)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14927), tc_List_Olist(_u14927))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14927), tc_List_Olist(_u14927)), _u14928), _u14929)), hAPP(c_List_Olexn(_u14927, _u14930), _u14931))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14927)), _u14928) = _u14931) )).
% 12.17/12.42 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14927), tc_List_Olist(_u14927))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14927), tc_List_Olist(_u14927)), _u14928), _u14929)), hAPP(c_List_Olexn(_u14927, _u14930), _u14931))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14927)), _u14929) = _u14931) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u14932, _u14933) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14932), tc_List_Olist(_u14932), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14932), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBS(tc_List_Olist(_u14932), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14932)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14932)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14932), tc_fun(tc_List_Olist(_u14932), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14932), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14932))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14932)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14932))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14932)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14932), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBS(tc_List_Olist(_u14932), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14932)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14932)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14932), tc_fun(tc_List_Olist(_u14932), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14932), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14932))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14932)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14932))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14932)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14932), tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBC(tc_List_Olist(_u14932), tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932))), tc_fun(tc_List_Olist(_u14932), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14932)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14932)), c_member(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932))))), c_Product__Type_OPair(tc_List_Olist(_u14932), tc_List_Olist(_u14932))))), c_List_Olex(_u14932, _u14933))))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14934)), c_List_Osublist(_u14934, _u14935, _u14936)) = 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(_u14934)), _u14935)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14936))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u14937, _u14938), hAPP(c_Nat_OSuc, _u14939)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14937), tc_List_Olist(_u14937)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14937, tc_List_Olist(_u14937)), tc_prod(_u14937, tc_List_Olist(_u14937))), tc_prod(tc_List_Olist(_u14937), tc_List_Olist(_u14937)), c_Product__Type_Omap__pair(tc_prod(_u14937, tc_List_Olist(_u14937)), tc_List_Olist(_u14937), tc_prod(_u14937, tc_List_Olist(_u14937)), tc_List_Olist(_u14937), hAPP(c_Product__Type_Oprod_Oprod__case(_u14937, tc_List_Olist(_u14937), tc_List_Olist(_u14937)), c_List_Olist_OCons(_u14937)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14937, tc_List_Olist(_u14937), tc_List_Olist(_u14937)), c_List_Olist_OCons(_u14937)))), c_Wellfounded_Olex__prod(_u14937, tc_List_Olist(_u14937), _u14938, hAPP(c_List_Olexn(_u14937, _u14938), _u14939)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14937), tc_List_Olist(_u14937))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14937), tc_List_Olist(_u14937), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14937), tc_fun(tc_List_Olist(_u14937), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14937), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14937), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14937), tc_HOL_Obool)), tc_List_Olist(_u14937)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14937))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14937)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14937), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14937)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14937)))), hAPP(c_Nat_OSuc, _u14939))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14937), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14937)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14937)))), hAPP(c_Nat_OSuc, _u14939))))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 12.17/12.42 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(_u14940)), _u14941)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14940)), _u14942))) | ( _u14941 != hAPP(hAPP(c_List_Olist_OCons(_u14940), _u14943), _u14942)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_not__Cons__self-1, axiom, ( ( _u14944 != hAPP(hAPP(c_List_Olist_OCons(_u14945), _u14946), _u14944)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14947), _u14948), _u14949) != _u14949) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14957), _u14959) != hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14961), _u14963)) | ( _u14957 = _u14961) )).
% 12.17/12.42 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14957), _u14959) != hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14961), _u14963)) | ( _u14959 = _u14963) )).
% 12.17/12.42 cnf(fact_list_Oinject-3, axiom, ( ( _u14958 != _u14962) | ( _u14960 != _u14964) | ( hAPP(hAPP(c_List_Olist_OCons(_u14956), _u14958), _u14960) = hAPP(hAPP(c_List_Olist_OCons(_u14956), _u14962), _u14964)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), hAPP(hAPP(c_List_Olist_OCons(_u14965), _u14966), _u14967)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), _u14967)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14976), _u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14980), _u14982))), c_List_Olex(_u14974, _u14984))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14974, _u14974)), hAPP(hAPP(c_Product__Type_OPair(_u14974, _u14974), _u14976), _u14980)), _u14984)) | ( _u14976 = _u14980) )).
% 12.17/12.42 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14976), _u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14980), _u14982))), c_List_Olex(_u14974, _u14984))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14974, _u14974)), hAPP(hAPP(c_Product__Type_OPair(_u14974, _u14974), _u14976), _u14980)), _u14984)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), _u14978), _u14982)), c_List_Olex(_u14974, _u14984))) )).
% 12.17/12.42 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14976), _u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14980), _u14982))), c_List_Olex(_u14974, _u14984))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14978) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14982)) | ( _u14976 = _u14980) )).
% 12.17/12.42 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14976), _u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14980), _u14982))), c_List_Olex(_u14974, _u14984))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14978) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14982)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), _u14978), _u14982)), c_List_Olex(_u14974, _u14984))) )).
% 12.17/12.42 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14975), tc_List_Olist(_u14975))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14975), tc_List_Olist(_u14975)), hAPP(hAPP(c_List_Olist_OCons(_u14975), _u14977), _u14979)), hAPP(hAPP(c_List_Olist_OCons(_u14975), _u14981), _u14983))), c_List_Olex(_u14975, _u14985))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14975, _u14975)), hAPP(hAPP(c_Product__Type_OPair(_u14975, _u14975), _u14977), _u14981)), _u14985)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14975)), _u14979) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14975)), _u14983)) )).
% 12.17/12.42 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14975), tc_List_Olist(_u14975))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14975), tc_List_Olist(_u14975)), hAPP(hAPP(c_List_Olist_OCons(_u14975), _u14977), _u14979)), hAPP(hAPP(c_List_Olist_OCons(_u14975), _u14981), _u14983))), c_List_Olex(_u14975, _u14985))) | ( _u14977 != _u14981) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14975), tc_List_Olist(_u14975))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14975), tc_List_Olist(_u14975)), _u14979), _u14983)), c_List_Olex(_u14975, _u14985))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u14986, _u14987, _u14988) = hAPP(c_Set_OCollect(tc_List_Olist(_u14986)), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u14986)), c_HOL_OEx(_u14986)), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(_u14986, tc_HOL_Obool), tc_List_Olist(_u14986)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_HOL_Obool, _u14986), c_HOL_OEx(tc_List_Olist(_u14986)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), tc_fun(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), tc_List_Olist(_u14986)), c_COMBS(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14986, tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), tc_List_Olist(_u14986)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), _u14986), c_COMBS(tc_List_Olist(_u14986), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u14986)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14986), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14986)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), tc_List_Olist(_u14986)), c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), _u14986)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_List_Olist(_u14986)), c_COMBB(tc_List_Olist(_u14986), tc_HOL_Obool, tc_List_Olist(_u14986))), c_fequal))), c_List_Olist_OCons(_u14986)))))), hAPP(hAPP(c_COMBC(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), _u14986), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14986))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14986), c_fconj), hAPP(hAPP(c_COMBC(_u14986, tc_fun(_u14986, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14986)), _u14987)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u14986))), _u14988))))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14993), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14995), _u14997))) | ( hAPP(c_Random_Opick(_u14995, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14995)), _u14997), _u14999)), _u14993) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u14995), _u14997)) )).
% 12.17/12.42 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14994), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14996), _u14998))) | ( hAPP(c_Random_Opick(_u14996, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14996)), _u14998), _u15000)), _u14994) = hAPP(c_Random_Opick(_u14996, _u15000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14994), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14996), _u14998)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u15001, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15001)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15001), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15002)), _u15003)) = c_Random_Oselect__weight(_u15001, _u15003)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15010), tc_List_Olist(_u15010))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15010), tc_List_Olist(_u15010)), hAPP(hAPP(c_List_Olist_OCons(_u15010), _u15012), _u15014)), hAPP(hAPP(c_List_Olist_OCons(_u15010), _u15016), _u15018))), c_List_Olexord(_u15010, _u15020))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15010, _u15010)), hAPP(hAPP(c_Product__Type_OPair(_u15010, _u15010), _u15012), _u15016)), _u15020)) | ( _u15012 = _u15016) )).
% 12.17/12.42 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15010), tc_List_Olist(_u15010))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15010), tc_List_Olist(_u15010)), hAPP(hAPP(c_List_Olist_OCons(_u15010), _u15012), _u15014)), hAPP(hAPP(c_List_Olist_OCons(_u15010), _u15016), _u15018))), c_List_Olexord(_u15010, _u15020))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15010, _u15010)), hAPP(hAPP(c_Product__Type_OPair(_u15010, _u15010), _u15012), _u15016)), _u15020)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15010), tc_List_Olist(_u15010))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15010), tc_List_Olist(_u15010)), _u15014), _u15018)), c_List_Olexord(_u15010, _u15020))) )).
% 12.17/12.42 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15011), tc_List_Olist(_u15011))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15011), tc_List_Olist(_u15011)), hAPP(hAPP(c_List_Olist_OCons(_u15011), _u15013), _u15015)), hAPP(hAPP(c_List_Olist_OCons(_u15011), _u15017), _u15019))), c_List_Olexord(_u15011, _u15021))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15011, _u15011)), hAPP(hAPP(c_Product__Type_OPair(_u15011, _u15011), _u15013), _u15017)), _u15021)) )).
% 12.17/12.42 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15011), tc_List_Olist(_u15011))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15011), tc_List_Olist(_u15011)), hAPP(hAPP(c_List_Olist_OCons(_u15011), _u15013), _u15015)), hAPP(hAPP(c_List_Olist_OCons(_u15011), _u15017), _u15019))), c_List_Olexord(_u15011, _u15021))) | ( _u15013 != _u15017) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15011), tc_List_Olist(_u15011))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15011), tc_List_Olist(_u15011)), _u15015), _u15019)), c_List_Olexord(_u15011, _u15021))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15026), tc_List_Olist(_u15026))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15026), tc_List_Olist(_u15026)), _u15028), _u15030)), c_List_Olex(_u15026, _u15032))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15026), tc_List_Olist(_u15026))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15026), tc_List_Olist(_u15026)), _u15028), _u15030)), c_List_Olexord(_u15026, _u15032))) )).
% 12.17/12.42 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15026), tc_List_Olist(_u15026))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15026), tc_List_Olist(_u15026)), _u15028), _u15030)), c_List_Olex(_u15026, _u15032))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15026)), _u15028) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15026)), _u15030)) )).
% 12.17/12.42 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15027), tc_List_Olist(_u15027))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15027), tc_List_Olist(_u15027)), _u15029), _u15031)), c_List_Olexord(_u15027, _u15033))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15027)), _u15029) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15027)), _u15031)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15027), tc_List_Olist(_u15027))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15027), tc_List_Olist(_u15027)), _u15029), _u15031)), c_List_Olex(_u15027, _u15033))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15034, _u15034)), hAPP(hAPP(c_Product__Type_OPair(_u15034, _u15034), _u15035), _u15036)), c_Transitive__Closure_Ortrancl(_u15034, _u15037))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15034), tc_List_Olist(_u15034))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15034), tc_List_Olist(_u15034)), _u15038), _u15039)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15034), c_List_Olistrel1(_u15034, _u15037)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15034), tc_List_Olist(_u15034))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15034), tc_List_Olist(_u15034)), hAPP(hAPP(c_List_Olist_OCons(_u15034), _u15035), _u15038)), hAPP(hAPP(c_List_Olist_OCons(_u15034), _u15036), _u15039))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15034), c_List_Olistrel1(_u15034, _u15037)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u15040, _u15041, hAPP(hAPP(c_List_Olist_OCons(_u15040), _u15042), _u15043)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u15041, _u15042)), c_List_Olist_Olist__size(_u15040, _u15041, _u15043))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15044), _u15045), c_Wellfounded_Oacc(_u15044, _u15046))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15044)), _u15047), c_Wellfounded_Oacc(tc_List_Olist(_u15044), c_List_Olistrel1(_u15044, _u15046)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15044)), hAPP(hAPP(c_List_Olist_OCons(_u15044), _u15045), _u15047)), c_Wellfounded_Oacc(tc_List_Olist(_u15044), c_List_Olistrel1(_u15044, _u15046)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15048, _u15048), tc_HOL_Obool)), _u15049), _u15050)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15048), tc_List_Olist(_u15048)), tc_HOL_Obool)), c_List_Olistrel1(_u15048, _u15049)), c_List_Olistrel1(_u15048, _u15050))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.17/12.42 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(_u15051), tc_List_Olist(_u15051)), tc_HOL_Obool)), c_List_Olistrel1(_u15051, c_Transitive__Closure_Ortrancl(_u15051, _u15052))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15051), c_List_Olistrel1(_u15051, _u15052)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u15053, hAPP(c_Relation_Oconverse(_u15053, _u15053), _u15054)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u15053), tc_List_Olist(_u15053)), c_List_Olistrel1(_u15053, _u15054))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15055), tc_List_Olist(_u15055))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15055), tc_List_Olist(_u15055)), _u15056), _u15057)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15055), c_List_Olistrel1(_u15055, _u15058)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15055), tc_List_Olist(_u15055))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15055), tc_List_Olist(_u15055)), hAPP(hAPP(c_List_Olist_OCons(_u15055), _u15059), _u15056)), hAPP(hAPP(c_List_Olist_OCons(_u15055), _u15059), _u15057))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15055), c_List_Olistrel1(_u15055, _u15058)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), _u15061), _u15062)), c_List_Olistrel1(_u15060, _u15063))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15064), _u15061)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15064), _u15062))), c_List_Olistrel1(_u15060, _u15063))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__listrel1__eq__len-1, 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)), _u15066), _u15067)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15065), c_List_Olistrel1(_u15065, _u15068)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15066) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15067)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15069), tc_List_Olist(_u15069))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15069), tc_List_Olist(_u15069)), _u15070), _u15071)), c_List_Olistrel1(_u15069, _u15072))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15069)), _u15070) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15069)), _u15071)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15077), tc_List_Olist(_u15077))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15077), tc_List_Olist(_u15077)), _u15079), _u15081)), c_List_Olistrel1(_u15077, hAPP(c_Relation_Oconverse(_u15077, _u15077), _u15083)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15077), tc_List_Olist(_u15077))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15077), tc_List_Olist(_u15077)), _u15079), _u15081)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15077), tc_List_Olist(_u15077)), c_List_Olistrel1(_u15077, _u15083)))) )).
% 12.17/12.42 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15078), tc_List_Olist(_u15078))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15078), tc_List_Olist(_u15078)), _u15080), _u15082)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15078), tc_List_Olist(_u15078)), c_List_Olistrel1(_u15078, _u15084)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15078), tc_List_Olist(_u15078))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15078), tc_List_Olist(_u15078)), _u15080), _u15082)), c_List_Olistrel1(_u15078, hAPP(c_Relation_Oconverse(_u15078, _u15078), _u15084)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15085, _u15085)), hAPP(hAPP(c_Product__Type_OPair(_u15085, _u15085), _u15086), _u15087)), _u15088)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15085), tc_List_Olist(_u15085))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15085), tc_List_Olist(_u15085)), hAPP(hAPP(c_List_Olist_OCons(_u15085), _u15086), _u15089)), hAPP(hAPP(c_List_Olist_OCons(_u15085), _u15087), _u15089))), c_List_Olistrel1(_u15085, _u15088))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15098), _u15100)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15102), _u15104))), c_List_Olistrel1(_u15096, _u15106))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15096, _u15096)), hAPP(hAPP(c_Product__Type_OPair(_u15096, _u15096), _u15098), _u15102)), _u15106)) | ( _u15098 = _u15102) )).
% 12.17/12.42 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15098), _u15100)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15102), _u15104))), c_List_Olistrel1(_u15096, _u15106))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15096, _u15096)), hAPP(hAPP(c_Product__Type_OPair(_u15096, _u15096), _u15098), _u15102)), _u15106)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), _u15100), _u15104)), c_List_Olistrel1(_u15096, _u15106))) )).
% 12.17/12.42 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15098), _u15100)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15102), _u15104))), c_List_Olistrel1(_u15096, _u15106))) | ( _u15100 = _u15104) | ( _u15098 = _u15102) )).
% 12.17/12.42 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15098), _u15100)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15102), _u15104))), c_List_Olistrel1(_u15096, _u15106))) | ( _u15100 = _u15104) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), _u15100), _u15104)), c_List_Olistrel1(_u15096, _u15106))) )).
% 12.17/12.42 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15097), tc_List_Olist(_u15097))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15097), tc_List_Olist(_u15097)), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15099), _u15101)), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15103), _u15105))), c_List_Olistrel1(_u15097, _u15107))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15097, _u15097)), hAPP(hAPP(c_Product__Type_OPair(_u15097, _u15097), _u15099), _u15103)), _u15107)) | ( _u15101 != _u15105) )).
% 12.17/12.42 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15097), tc_List_Olist(_u15097))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15097), tc_List_Olist(_u15097)), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15099), _u15101)), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15103), _u15105))), c_List_Olistrel1(_u15097, _u15107))) | ( _u15099 != _u15103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15097), tc_List_Olist(_u15097))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15097), tc_List_Olist(_u15097)), _u15101), _u15105)), c_List_Olistrel1(_u15097, _u15107))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15108), tc_List_Olist(_u15108), c_List_Olistrel(_u15108, _u15109)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15108)), hAPP(hAPP(c_List_Olist_OCons(_u15108), _u15110), _u15111)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15108), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15108, hAPP(c_Relation_OImage(_u15108, _u15108, _u15109), hAPP(hAPP(c_Set_Oinsert(_u15108), _u15110), c_Orderings_Obot__class_Obot(tc_fun(_u15108, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15108), tc_List_Olist(_u15108), c_List_Olistrel(_u15108, _u15109)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15108)), _u15111), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15108), tc_HOL_Obool)))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15113, _u15113)), hAPP(hAPP(c_Product__Type_OPair(_u15113, _u15113), skolem393(_u15115, _u15114, _u15113)), skolem393(_u15115, _u15114, _u15113))), _u15114)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15113), tc_List_Olist(_u15113))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15113), tc_List_Olist(_u15113)), _u15115), _u15115)), c_List_Olexord(_u15113, _u15114))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15116), tc_List_Olist(_u15116))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15116), tc_List_Olist(_u15116)), _u15117), _u15117)), c_List_Olistrel(_u15116, c_Transitive__Closure_Ortrancl(_u15116, _u15118)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15119, _u15119), tc_HOL_Obool)), _u15120), _u15121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15119), tc_List_Olist(_u15119)), tc_HOL_Obool)), c_List_Olistrel(_u15119, _u15120)), c_List_Olistrel(_u15119, _u15121))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15122), tc_List_Olist(_u15122)), tc_HOL_Obool)), c_List_Olistrel(_u15122, _u15123)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15122), c_List_Olistrel1(_u15122, _u15123)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15124), tc_List_Olist(_u15124))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15124), tc_List_Olist(_u15124)), _u15125), _u15126)), c_List_Olistrel(_u15124, _u15127))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15124)), _u15125) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15124)), _u15126)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15128), tc_List_Olist(_u15128))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15128), tc_List_Olist(_u15128)), _u15129), _u15130)), c_List_Olistrel(_u15128, c_Transitive__Closure_Ortrancl(_u15128, _u15131)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15128), tc_List_Olist(_u15128))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15128), tc_List_Olist(_u15128)), _u15130), _u15132)), c_List_Olistrel(_u15128, c_Transitive__Closure_Ortrancl(_u15128, _u15131)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15128), tc_List_Olist(_u15128))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15128), tc_List_Olist(_u15128)), _u15129), _u15132)), c_List_Olistrel(_u15128, c_Transitive__Closure_Ortrancl(_u15128, _u15131)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u15133, c_Transitive__Closure_Ortrancl(_u15133, _u15134)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15133), c_List_Olistrel1(_u15133, _u15134))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15135), tc_List_Olist(_u15135))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15135), tc_List_Olist(_u15135)), _u15136), _u15137)), c_List_Olistrel1(_u15135, _u15138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15135), tc_List_Olist(_u15135))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15135), tc_List_Olist(_u15135)), _u15136), _u15137)), c_List_Olistrel(_u15135, c_Transitive__Closure_Ortrancl(_u15135, _u15138)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15139, _u15139), tc_HOL_Obool)), _u15140), _u15141)) | ~c_Relation_Orefl__on(_u15139, c_Orderings_Otop__class_Otop(tc_fun(_u15139, tc_HOL_Obool)), _u15141) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15139), tc_List_Olist(_u15139)), tc_HOL_Obool)), c_List_Olistrel1(_u15139, _u15140)), c_List_Olistrel(_u15139, _u15141))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15142), tc_List_Olist(_u15142))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15142), tc_List_Olist(_u15142)), _u15143), _u15144)), c_List_Olistrel(_u15142, _u15145))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15142), tc_List_Olist(_u15142))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15142), tc_List_Olist(_u15142)), _u15143), _u15144)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15142), c_List_Olistrel1(_u15142, _u15145)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15146, _u15146)), hAPP(hAPP(c_Product__Type_OPair(_u15146, _u15146), _u15147), _u15148)), _u15149)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), _u15150), _u15151)), c_List_Olistrel(_u15146, _u15149))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15147), _u15150)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15148), _u15151))), c_List_Olistrel(_u15146, _u15149))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u15156, hAPP(hAPP(c_COMBC(_u15156, tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_fun(_u15156, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15156, tc_fun(tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_fun(_u15156, tc_HOL_Obool)), _u15156), c_COMBC(_u15156, tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15156, tc_prod(_u15156, _u15156)), tc_fun(_u15156, tc_fun(tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_HOL_Obool)), _u15156), hAPP(c_COMBB(tc_prod(_u15156, _u15156), tc_fun(tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_HOL_Obool), _u15156), c_member(tc_prod(_u15156, _u15156)))), c_Product__Type_OPair(_u15156, _u15156)))), _u15158), _u15160, _u15162) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15156), tc_List_Olist(_u15156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15156), tc_List_Olist(_u15156)), _u15160), _u15162)), c_List_Olistrel(_u15156, _u15158))) )).
% 12.17/12.42 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15157), tc_List_Olist(_u15157))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15157), tc_List_Olist(_u15157)), _u15161), _u15163)), c_List_Olistrel(_u15157, _u15159))) | c_List_Olistrelp(_u15157, hAPP(hAPP(c_COMBC(_u15157, tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_fun(_u15157, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15157, tc_fun(tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_fun(_u15157, tc_HOL_Obool)), _u15157), c_COMBC(_u15157, tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15157, tc_prod(_u15157, _u15157)), tc_fun(_u15157, tc_fun(tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_HOL_Obool)), _u15157), hAPP(c_COMBB(tc_prod(_u15157, _u15157), tc_fun(tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_HOL_Obool), _u15157), c_member(tc_prod(_u15157, _u15157)))), c_Product__Type_OPair(_u15157, _u15157)))), _u15159), _u15161, _u15163) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15166), tc_List_Olist(_u15166))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15166), tc_List_Olist(_u15166)), _u15167), hAPP(hAPP(c_List_Olist_OCons(_u15166), _u15168), _u15169))), c_List_Olistrel(_u15166, _u15170))) | ( _u15167 = hAPP(hAPP(c_List_Olist_OCons(_u15166), skolem394(_u15170, _u15169, _u15168, _u15167, _u15166)), skolem395(_u15170, _u15169, _u15168, _u15167, _u15166))) )).
% 12.17/12.42 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15166), tc_List_Olist(_u15166))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15166), tc_List_Olist(_u15166)), _u15167), hAPP(hAPP(c_List_Olist_OCons(_u15166), _u15168), _u15169))), c_List_Olistrel(_u15166, _u15170))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15166)), hAPP(hAPP(c_Product__Type_OPair(_u15166, _u15166), skolem394(_u15170, _u15169, _u15168, _u15167, _u15166)), _u15168)), _u15170)) )).
% 12.17/12.42 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15166), tc_List_Olist(_u15166))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15166), tc_List_Olist(_u15166)), _u15167), hAPP(hAPP(c_List_Olist_OCons(_u15166), _u15168), _u15169))), c_List_Olistrel(_u15166, _u15170))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15166), tc_List_Olist(_u15166))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15166), tc_List_Olist(_u15166)), skolem395(_u15170, _u15169, _u15168, _u15167, _u15166)), _u15169)), c_List_Olistrel(_u15166, _u15170))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u15171, _u15172), _u15173)) | ~c_List_Olistrelp(_u15174, _u15171, _u15175, _u15176) | c_List_Olistrelp(_u15174, _u15171, hAPP(hAPP(c_List_Olist_OCons(_u15174), _u15172), _u15175), hAPP(hAPP(c_List_Olist_OCons(_u15174), _u15173), _u15176)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u15183, _u15185, hAPP(hAPP(c_List_Olist_OCons(_u15183), _u15187), _u15189), hAPP(hAPP(c_List_Olist_OCons(_u15183), _u15191), _u15193)) | hBOOL(hAPP(hAPP(_u15185, _u15187), _u15191)) )).
% 12.17/12.42 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u15183, _u15185, hAPP(hAPP(c_List_Olist_OCons(_u15183), _u15187), _u15189), hAPP(hAPP(c_List_Olist_OCons(_u15183), _u15191), _u15193)) | c_List_Olistrelp(_u15183, _u15185, _u15189, _u15193) )).
% 12.17/12.42 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u15186, _u15188), _u15192)) | ~c_List_Olistrelp(_u15184, _u15186, _u15190, _u15194) | c_List_Olistrelp(_u15184, _u15186, hAPP(hAPP(c_List_Olist_OCons(_u15184), _u15188), _u15190), hAPP(hAPP(c_List_Olist_OCons(_u15184), _u15192), _u15194)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15197), tc_List_Olist(_u15197))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15197), tc_List_Olist(_u15197)), hAPP(hAPP(c_List_Olist_OCons(_u15197), _u15198), _u15199)), _u15200)), c_List_Olistrel(_u15197, _u15201))) | ( _u15200 = hAPP(hAPP(c_List_Olist_OCons(_u15197), skolem396(_u15201, _u15200, _u15199, _u15198, _u15197)), skolem397(_u15201, _u15200, _u15199, _u15198, _u15197))) )).
% 12.17/12.42 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15197), tc_List_Olist(_u15197))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15197), tc_List_Olist(_u15197)), hAPP(hAPP(c_List_Olist_OCons(_u15197), _u15198), _u15199)), _u15200)), c_List_Olistrel(_u15197, _u15201))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15197, _u15197)), hAPP(hAPP(c_Product__Type_OPair(_u15197, _u15197), _u15198), skolem396(_u15201, _u15200, _u15199, _u15198, _u15197))), _u15201)) )).
% 12.17/12.42 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15197), tc_List_Olist(_u15197))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15197), tc_List_Olist(_u15197)), hAPP(hAPP(c_List_Olist_OCons(_u15197), _u15198), _u15199)), _u15200)), c_List_Olistrel(_u15197, _u15201))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15197), tc_List_Olist(_u15197))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15197), tc_List_Olist(_u15197)), _u15199), skolem397(_u15201, _u15200, _u15199, _u15198, _u15197))), c_List_Olistrel(_u15197, _u15201))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15202, _u15202), tc_HOL_Obool)), _u15203), hAPP(hAPP(c_Product__Type_OSigma(_u15202, _u15202), _u15204), hAPP(c_COMBK(tc_fun(_u15202, tc_HOL_Obool), _u15202), _u15204)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15202), tc_List_Olist(_u15202)), tc_HOL_Obool)), c_List_Olistrel(_u15202, _u15203)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15202), tc_List_Olist(_u15202)), c_List_Olists(_u15202, _u15204)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15202), tc_HOL_Obool), tc_List_Olist(_u15202)), c_List_Olists(_u15202, _u15204))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u15205, c_Orderings_Otop__class_Otop(tc_fun(_u15205, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15205), tc_HOL_Obool))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15206, tc_HOL_Obool)), _u15207), _u15208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15206), tc_HOL_Obool)), c_List_Olists(_u15206, _u15207)), c_List_Olists(_u15206, _u15208))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15209, _u15210, _u15211) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15209), c_List_Olists(_u15209, _u15210), c_List_Olistrel(_u15209, _u15211)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u15212, _u15213, _u15214) | c_Relation_Orefl__on(tc_List_Olist(_u15212), c_List_Olists(_u15212, _u15213), c_List_Olistrel(_u15212, _u15214)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15219)), hAPP(hAPP(c_List_Olist_OCons(_u15219), _u15221), _u15223)), c_List_Olists(_u15219, _u15225))) | hBOOL(hAPP(hAPP(c_member(_u15219), _u15221), _u15225)) )).
% 12.17/12.42 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15219)), hAPP(hAPP(c_List_Olist_OCons(_u15219), _u15221), _u15223)), c_List_Olists(_u15219, _u15225))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15219)), _u15223), c_List_Olists(_u15219, _u15225))) )).
% 12.17/12.42 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15220), _u15222), _u15226)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15220)), _u15224), c_List_Olists(_u15220, _u15226))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15220)), hAPP(hAPP(c_List_Olist_OCons(_u15220), _u15222), _u15224)), c_List_Olists(_u15220, _u15226))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15227)), _u15228), c_List_Olists(_u15227, c_Wellfounded_Oacc(_u15227, _u15229)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15227)), _u15228), c_Wellfounded_Oacc(tc_List_Olist(_u15227), c_List_Olistrel1(_u15227, _u15229)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15230)), _u15231), c_Wellfounded_Oacc(tc_List_Olist(_u15230), c_List_Olistrel1(_u15230, _u15232)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15230)), _u15231), c_List_Olists(_u15230, c_Wellfounded_Oacc(_u15230, _u15232)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15239), tc_List_Olist(_u15239))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15239), tc_List_Olist(_u15239)), _u15241), _u15243)), c_List_Olistrel(_u15239, _u15245))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15239)), _u15241) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15239)), _u15243)) )).
% 12.17/12.42 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15239), tc_List_Olist(_u15239))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15239), tc_List_Olist(_u15239)), _u15241), _u15243)), c_List_Olistrel(_u15239, _u15245))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15233), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15239)), _u15241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15239, _u15239)), hAPP(hAPP(c_Product__Type_OPair(_u15239, _u15239), hAPP(hAPP(c_List_Onth(_u15239), _u15241), _u15233)), hAPP(hAPP(c_List_Onth(_u15239), _u15243), _u15233))), _u15245)) )).
% 12.17/12.42 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15240), tc_List_Olist(_u15240))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15240), tc_List_Olist(_u15240)), _u15242), _u15244)), c_List_Olistrel(_u15240, _u15246))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15242) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem398(_u15246, _u15244, _u15242, _u15240)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15242))) )).
% 12.17/12.42 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15240), tc_List_Olist(_u15240))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15240), tc_List_Olist(_u15240)), _u15242), _u15244)), c_List_Olistrel(_u15240, _u15246))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15242) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15244)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15240, _u15240)), hAPP(hAPP(c_Product__Type_OPair(_u15240, _u15240), hAPP(hAPP(c_List_Onth(_u15240), _u15242), skolem398(_u15246, _u15244, _u15242, _u15240))), hAPP(hAPP(c_List_Onth(_u15240), _u15244), skolem398(_u15246, _u15244, _u15242, _u15240)))), _u15246)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15251), _u15252)), c_List_Olexord(_u15249, _u15250))) | ( _u15251 = _u15252) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15252), _u15251)), c_List_Olexord(_u15249, _u15250))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15249, _u15249)), hAPP(hAPP(c_Product__Type_OPair(_u15249, _u15249), skolem399(_u15252, _u15251, _u15250, _u15249)), skolem400(_u15252, _u15251, _u15250, _u15249))), _u15250)) )).
% 12.17/12.42 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15251), _u15252)), c_List_Olexord(_u15249, _u15250))) | ( _u15251 = _u15252) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15252), _u15251)), c_List_Olexord(_u15249, _u15250))) | ( skolem399(_u15252, _u15251, _u15250, _u15249) != skolem400(_u15252, _u15251, _u15250, _u15249)) )).
% 12.17/12.42 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15251), _u15252)), c_List_Olexord(_u15249, _u15250))) | ( _u15251 = _u15252) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15252), _u15251)), c_List_Olexord(_u15249, _u15250))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15249, _u15249)), hAPP(hAPP(c_Product__Type_OPair(_u15249, _u15249), skolem400(_u15252, _u15251, _u15250, _u15249)), skolem399(_u15252, _u15251, _u15250, _u15249))), _u15250)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15253)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15253), tc_HOL_Obool)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u15259 != _u15261) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15263)), _u15259) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15263)), _u15261)) )).
% 12.17/12.42 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u15259 != _u15261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15263)), _u15259))) | ( hAPP(hAPP(c_List_Onth(_u15263), _u15259), _u15254) = hAPP(hAPP(c_List_Onth(_u15263), _u15261), _u15254)) )).
% 12.17/12.42 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u15260 = _u15262) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15260) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem401(_u15264, _u15262, _u15260)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15260))) )).
% 12.17/12.42 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u15260 = _u15262) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15260) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15262)) | ( hAPP(hAPP(c_List_Onth(_u15264), _u15260), skolem401(_u15264, _u15262, _u15260)) != hAPP(hAPP(c_List_Onth(_u15264), _u15262), skolem401(_u15264, _u15262, _u15260))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15265), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15266), _u15267)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15266) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15268), hAPP(hAPP(c_List_Olist_OCons(_u15268), _u15269), _u15270)), hAPP(c_Nat_OSuc, _u15271)) = hAPP(hAPP(c_List_Onth(_u15268), _u15270), _u15271)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15272), hAPP(hAPP(c_List_Olist_OCons(_u15272), _u15273), _u15274)), _u15275) = c_Nat_Onat_Onat__case(_u15272, _u15273, hAPP(c_List_Onth(_u15272), _u15274), _u15275)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__Cons_H-1, axiom, ( ( _u15280 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15282), hAPP(hAPP(c_List_Olist_OCons(_u15282), _u15284), _u15286)), _u15280) = _u15284) )).
% 12.17/12.42 cnf(fact_nth__Cons_H-2, axiom, ( ( _u15281 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15283), hAPP(hAPP(c_List_Olist_OCons(_u15283), _u15285), _u15287)), _u15281) = hAPP(hAPP(c_List_Onth(_u15283), _u15287), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15281), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15292) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15294), hAPP(hAPP(c_List_Olist_OCons(_u15294), _u15296), _u15298)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15292)) = _u15296) )).
% 12.17/12.42 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15293) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15295), hAPP(hAPP(c_List_Olist_OCons(_u15295), _u15297), _u15299)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15293)) = hAPP(hAPP(c_List_Onth(_u15295), _u15299), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15293)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem402(_u15312, _u15310, _u15308, _u15306)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310)))) )).
% 12.17/12.42 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310))) | ( hAPP(hAPP(c_List_Otake(_u15306), skolem402(_u15312, _u15310, _u15308, _u15306)), _u15308) = hAPP(hAPP(c_List_Otake(_u15306), skolem402(_u15312, _u15310, _u15308, _u15306)), _u15310)) )).
% 12.17/12.42 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15306, _u15306)), hAPP(hAPP(c_Product__Type_OPair(_u15306, _u15306), hAPP(hAPP(c_List_Onth(_u15306), _u15308), skolem402(_u15312, _u15310, _u15308, _u15306))), hAPP(hAPP(c_List_Onth(_u15306), _u15310), skolem402(_u15312, _u15310, _u15308, _u15306)))), _u15312)) )).
% 12.17/12.42 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | ( hAPP(hAPP(c_List_Otake(_u15306), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), _u15310) = _u15308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem402(_u15312, _u15310, _u15308, _u15306)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310)))) )).
% 12.17/12.42 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | ( hAPP(hAPP(c_List_Otake(_u15306), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), _u15310) = _u15308) | ( hAPP(hAPP(c_List_Otake(_u15306), skolem402(_u15312, _u15310, _u15308, _u15306)), _u15308) = hAPP(hAPP(c_List_Otake(_u15306), skolem402(_u15312, _u15310, _u15308, _u15306)), _u15310)) )).
% 12.17/12.42 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | ( hAPP(hAPP(c_List_Otake(_u15306), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), _u15310) = _u15308) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15306, _u15306)), hAPP(hAPP(c_Product__Type_OPair(_u15306, _u15306), hAPP(hAPP(c_List_Onth(_u15306), _u15308), skolem402(_u15312, _u15310, _u15308, _u15306))), hAPP(hAPP(c_List_Onth(_u15306), _u15310), skolem402(_u15312, _u15310, _u15308, _u15306)))), _u15312)) )).
% 12.17/12.42 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15307), tc_List_Olist(_u15307))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15307), tc_List_Olist(_u15307)), _u15309), _u15311)), c_List_Olexord(_u15307, _u15313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15309)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15311))) | ( hAPP(hAPP(c_List_Otake(_u15307), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15309)), _u15311) != _u15309) )).
% 12.17/12.42 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15307), tc_List_Olist(_u15307))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15307), tc_List_Olist(_u15307)), _u15309), _u15311)), c_List_Olexord(_u15307, _u15313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15301), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15309)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15311)))) | ( hAPP(hAPP(c_List_Otake(_u15307), _u15301), _u15309) != hAPP(hAPP(c_List_Otake(_u15307), _u15301), _u15311)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15307, _u15307)), hAPP(hAPP(c_Product__Type_OPair(_u15307, _u15307), hAPP(hAPP(c_List_Onth(_u15307), _u15309), _u15301)), hAPP(hAPP(c_List_Onth(_u15307), _u15311), _u15301))), _u15313)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u15314), c_List_Osublist(_u15314, _u15315, _u15316)) = hAPP(c_Set_OCollect(_u15314), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15314), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15314, 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)), _u15314), 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)), _u15314), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15314, tc_fun(tc_Nat_Onat, _u15314), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15314, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15314), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15314), c_COMBB(_u15314, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15314), _u15315))))), 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(_u15314)), _u15315)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15316)))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15317), hAPP(c_List_Oset(_u15317), _u15318))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15319, tc_HOL_Obool)), hAPP(c_List_Oset(_u15319), _u15320)), hAPP(c_List_Oset(_u15319), hAPP(hAPP(c_List_Olist_OCons(_u15319), _u15321), _u15320)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__all ( axiom ) converted to clauses:
% 12.17/12.42 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(_u15322)), _u15323)), _u15324)) | ( hAPP(hAPP(c_List_Otake(_u15322), _u15324), _u15323) = _u15323) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15325, tc_HOL_Obool)), hAPP(c_List_Oset(_u15325), hAPP(hAPP(c_List_Otake(_u15325), _u15326), _u15327))), hAPP(c_List_Oset(_u15325), _u15327))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15328), _u15329)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15330, tc_HOL_Obool)), hAPP(c_List_Oset(_u15330), hAPP(hAPP(c_List_Otake(_u15330), _u15328), _u15331))), hAPP(c_List_Oset(_u15330), hAPP(hAPP(c_List_Otake(_u15330), _u15329), _u15331)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15332, tc_HOL_Obool)), hAPP(c_List_Oset(_u15332), c_List_Osublist(_u15332, _u15333, _u15334))), hAPP(c_List_Oset(_u15332), _u15333))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15335), _u15336)) | ( hAPP(hAPP(c_List_Onth(_u15337), hAPP(hAPP(c_List_Otake(_u15337), _u15336), _u15338)), _u15335) = hAPP(hAPP(c_List_Onth(_u15337), _u15338), _u15335)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15339), _u15340), hAPP(c_List_Oset(_u15339), _u15341))) | ~hBOOL(hAPP(hAPP(c_member(_u15339), _u15340), hAPP(c_List_Oset(_u15339), c_List_Osublist(_u15339, _u15341, _u15342)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15343), _u15344), hAPP(c_List_Oset(_u15343), hAPP(hAPP(c_List_Otake(_u15343), _u15345), _u15346)))) | hBOOL(hAPP(hAPP(c_member(_u15343), _u15344), hAPP(c_List_Oset(_u15343), _u15346))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15347), _u15348), hAPP(c_List_Oset(_u15347), c_List_Osublist(_u15347, _u15349, _u15350)))) | hBOOL(hAPP(hAPP(c_member(_u15347), _u15348), hAPP(c_List_Oset(_u15347), _u15349))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15351), _u15352), hAPP(c_List_Oset(_u15351), hAPP(hAPP(c_List_Olist_OCons(_u15351), _u15353), _u15354)))) | ( _u15352 = _u15353) | hBOOL(hAPP(hAPP(c_member(_u15351), _u15352), hAPP(c_List_Oset(_u15351), _u15354))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15355), hAPP(c_Nat_OSuc, _u15356)), hAPP(hAPP(c_List_Olist_OCons(_u15355), _u15357), _u15358)) = hAPP(hAPP(c_List_Olist_OCons(_u15355), _u15357), hAPP(hAPP(c_List_Otake(_u15355), _u15356), _u15358))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15359)), hAPP(hAPP(c_List_Otake(_u15359), _u15360), _u15361)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15359)), _u15361)), _u15360)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15362), _u15363), hAPP(hAPP(c_List_Otake(_u15362), _u15364), _u15365)) = hAPP(hAPP(c_List_Otake(_u15362), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15363), _u15364)), _u15365)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u15366), hAPP(hAPP(c_List_Olist_OCons(_u15366), _u15367), _u15368)) = hAPP(hAPP(c_Set_Oinsert(_u15366), _u15367), hAPP(c_List_Oset(_u15366), _u15368))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u15369, _u15370, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15371)) = hAPP(hAPP(c_List_Otake(_u15369), _u15371), _u15370)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_card__length ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15372), hAPP(c_List_Oset(_u15372), _u15373))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15373))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15375), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15381)), _u15383))) | hBOOL(hAPP(_u15385, hAPP(hAPP(c_List_Onth(_u15381), _u15383), _u15375))) | hBOOL(hAPP(hAPP(c_member(_u15381), skolem403(_u15385, _u15383, _u15381)), hAPP(c_List_Oset(_u15381), _u15383))) )).
% 12.17/12.42 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15375), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15381)), _u15383))) | hBOOL(hAPP(_u15385, hAPP(hAPP(c_List_Onth(_u15381), _u15383), _u15375))) | ~hBOOL(hAPP(_u15385, skolem403(_u15385, _u15383, _u15381))) )).
% 12.17/12.42 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15382), _u15377), hAPP(c_List_Oset(_u15382), _u15384))) | hBOOL(hAPP(_u15386, _u15377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem404(_u15386, _u15384, _u15382)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15382)), _u15384))) )).
% 12.17/12.42 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15382), _u15377), hAPP(c_List_Oset(_u15382), _u15384))) | hBOOL(hAPP(_u15386, _u15377)) | ~hBOOL(hAPP(_u15386, hAPP(hAPP(c_List_Onth(_u15382), _u15384), skolem404(_u15386, _u15384, _u15382)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15387), _u15388), hAPP(c_List_Oset(_u15387), _u15389))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15390), hAPP(_u15391, _u15388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15390), c_List_Olist_Olist__size(_u15387, _u15391, _u15389))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15392), _u15393), hAPP(c_List_Oset(_u15392), _u15394))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15395), hAPP(_u15396, _u15393))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15395), c_List_Olist_Olist__size(_u15392, _u15396, _u15394))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15402)), _u15404), c_List_Olists(_u15402, _u15406))) | ~hBOOL(hAPP(hAPP(c_member(_u15402), _u15397), hAPP(c_List_Oset(_u15402), _u15404))) | hBOOL(hAPP(hAPP(c_member(_u15402), _u15397), _u15406)) )).
% 12.17/12.42 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15403)), _u15405), c_List_Olists(_u15403, _u15407))) | hBOOL(hAPP(hAPP(c_member(_u15403), skolem405(_u15407, _u15405, _u15403)), hAPP(c_List_Oset(_u15403), _u15405))) )).
% 12.17/12.42 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15403)), _u15405), c_List_Olists(_u15403, _u15407))) | ~hBOOL(hAPP(hAPP(c_member(_u15403), skolem405(_u15407, _u15405, _u15403)), _u15407)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15408), _u15409), hAPP(c_List_Oset(_u15408), _u15410))) | 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(_u15408)), _u15410))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15411), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15412)), _u15413))) | hBOOL(hAPP(hAPP(c_member(_u15412), hAPP(hAPP(c_List_Onth(_u15412), _u15413), _u15411)), hAPP(c_List_Oset(_u15412), _u15413))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15419), _u15421), hAPP(c_List_Oset(_u15419), _u15423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem406(_u15423, _u15421, _u15419)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15419)), _u15423))) )).
% 12.17/12.42 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15419), _u15421), hAPP(c_List_Oset(_u15419), _u15423))) | ( hAPP(hAPP(c_List_Onth(_u15419), _u15423), skolem406(_u15423, _u15421, _u15419)) = _u15421) )).
% 12.17/12.42 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15415), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15420)), _u15424))) | ( hAPP(hAPP(c_List_Onth(_u15420), _u15424), _u15415) != _u15422) | hBOOL(hAPP(hAPP(c_member(_u15420), _u15422), hAPP(c_List_Oset(_u15420), _u15424))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u15425, _u15426) = hAPP(c_Set_OCollect(tc_List_Olist(_u15425)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15425), tc_fun(_u15425, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15425, tc_HOL_Obool), tc_fun(tc_fun(_u15425, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15425)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15425, tc_HOL_Obool))), c_List_Oset(_u15425))), _u15426))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u15427), _u15428) = hAPP(c_Set_OCollect(_u15427), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15427), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15427, 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)), _u15427), 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)), _u15427), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15427, tc_fun(tc_Nat_Onat, _u15427), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15427, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15427), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15427), c_COMBB(_u15427, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15427), _u15428))))), 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(_u15427)), _u15428)))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15429), _u15430)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15429)), hAPP(c_Set_OCollect(tc_List_Olist(_u15429)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15429), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15429)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15429), tc_fun(_u15429, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15429, tc_HOL_Obool), tc_fun(tc_fun(_u15429, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15429)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15429, tc_HOL_Obool))), c_List_Oset(_u15429))), _u15430))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15429), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15429)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15429)))), _u15431))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15432), _u15433)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15432)), hAPP(c_Set_OCollect(tc_List_Olist(_u15432)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15432), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15432)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15432), tc_fun(_u15432, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15432, tc_HOL_Obool), tc_fun(tc_fun(_u15432, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15432)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15432, tc_HOL_Obool))), c_List_Oset(_u15432))), _u15433))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15432), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15432)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15432)))), _u15434))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15441), tc_List_Olist(_u15441))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15441), tc_List_Olist(_u15441)), _u15443), _u15445)), c_List_Olistrel(_u15441, _u15447))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15441)), _u15443) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15441)), _u15445)) )).
% 12.17/12.42 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15441), tc_List_Olist(_u15441))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15441), tc_List_Olist(_u15441)), _u15443), _u15445)), c_List_Olistrel(_u15441, _u15447))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15441, _u15441)), _u15435), hAPP(c_List_Oset(tc_prod(_u15441, _u15441)), hAPP(hAPP(c_List_Ozip(_u15441, _u15441), _u15443), _u15445)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15441, _u15441, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15441, tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_fun(_u15441, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15441, tc_fun(tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_fun(_u15441, tc_HOL_Obool)), _u15441), c_COMBC(_u15441, tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15441, tc_prod(_u15441, _u15441)), tc_fun(_u15441, tc_fun(tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_HOL_Obool)), _u15441), hAPP(c_COMBB(tc_prod(_u15441, _u15441), tc_fun(tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_HOL_Obool), _u15441), c_member(tc_prod(_u15441, _u15441)))), c_Product__Type_OPair(_u15441, _u15441)))), _u15447)), _u15435)) )).
% 12.17/12.42 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15442), tc_List_Olist(_u15442))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15442), tc_List_Olist(_u15442)), _u15444), _u15446)), c_List_Olistrel(_u15442, _u15448))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15442)), _u15444) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15442)), _u15446)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15442, _u15442)), skolem407(_u15448, _u15446, _u15444, _u15442)), hAPP(c_List_Oset(tc_prod(_u15442, _u15442)), hAPP(hAPP(c_List_Ozip(_u15442, _u15442), _u15444), _u15446)))) )).
% 12.17/12.42 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15442), tc_List_Olist(_u15442))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15442), tc_List_Olist(_u15442)), _u15444), _u15446)), c_List_Olistrel(_u15442, _u15448))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15442)), _u15444) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15442)), _u15446)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15442, _u15442, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15442, tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_fun(_u15442, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15442, tc_fun(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_fun(_u15442, tc_HOL_Obool)), _u15442), c_COMBC(_u15442, tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15442, tc_prod(_u15442, _u15442)), tc_fun(_u15442, tc_fun(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_HOL_Obool)), _u15442), hAPP(c_COMBB(tc_prod(_u15442, _u15442), tc_fun(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_HOL_Obool), _u15442), c_member(tc_prod(_u15442, _u15442)))), c_Product__Type_OPair(_u15442, _u15442)))), _u15448)), skolem407(_u15448, _u15446, _u15444, _u15442))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u15449, _u15450)), hAPP(hAPP(c_List_Ozip(_u15449, _u15450), _u15451), _u15452)) = hAPP(c_Set_OCollect(tc_prod(_u15449, _u15450)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15449, _u15450)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15449, _u15450), 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(_u15449, _u15450)), 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(_u15449, _u15450)), 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(_u15449, _u15450), tc_fun(tc_Nat_Onat, tc_prod(_u15449, _u15450)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15449, _u15450), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15449, _u15450)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15449, _u15450)), c_COMBB(tc_prod(_u15449, _u15450), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15450, tc_prod(_u15449, _u15450)), hAPP(hAPP(c_COMBB(_u15449, tc_fun(_u15450, tc_prod(_u15449, _u15450)), tc_Nat_Onat), c_Product__Type_OPair(_u15449, _u15450)), hAPP(c_List_Onth(_u15449), _u15451))), hAPP(c_List_Onth(_u15450), _u15452)))))), 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(_u15449)), _u15451)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15450)), _u15452))))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15453, _u15454)), _u15455), hAPP(hAPP(c_List_Ozip(_u15453, _u15454), _u15456), _u15457)) = hAPP(hAPP(c_List_Ozip(_u15453, _u15454), hAPP(hAPP(c_List_Otake(_u15453), _u15455), _u15456)), hAPP(hAPP(c_List_Otake(_u15454), _u15455), _u15457))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15458, _u15459))), hAPP(hAPP(c_List_Ozip(_u15458, _u15459), _u15460), _u15461)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15458)), _u15460)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15461))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15462, _u15463), hAPP(hAPP(c_List_Olist_OCons(_u15462), _u15464), _u15465)), hAPP(hAPP(c_List_Olist_OCons(_u15463), _u15466), _u15467)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15462, _u15463)), hAPP(hAPP(c_Product__Type_OPair(_u15462, _u15463), _u15464), _u15466)), hAPP(hAPP(c_List_Ozip(_u15462, _u15463), _u15465), _u15467))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u15473 != _u15475) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15477)), _u15473) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15477)), _u15475)) )).
% 12.17/12.42 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u15473 != _u15475) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15477, _u15477)), _u15468), hAPP(c_List_Oset(tc_prod(_u15477, _u15477)), hAPP(hAPP(c_List_Ozip(_u15477, _u15477), _u15473), _u15475)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15477, _u15477, tc_HOL_Obool), c_fequal), _u15468)) )).
% 12.17/12.42 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u15474 = _u15476) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)), _u15474) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)), _u15476)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15478, _u15478)), skolem408(_u15478, _u15476, _u15474)), hAPP(c_List_Oset(tc_prod(_u15478, _u15478)), hAPP(hAPP(c_List_Ozip(_u15478, _u15478), _u15474), _u15476)))) )).
% 12.17/12.42 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u15474 = _u15476) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)), _u15474) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)), _u15476)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15478, _u15478, tc_HOL_Obool), c_fequal), skolem408(_u15478, _u15476, _u15474))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15483, _u15483)), hAPP(hAPP(c_Product__Type_OPair(_u15483, _u15483), _u15485), _u15487)), hAPP(c_List_Oset(tc_prod(_u15483, _u15483)), hAPP(hAPP(c_List_Ozip(_u15483, _u15483), _u15489), _u15489)))) | hBOOL(hAPP(hAPP(c_member(_u15483), _u15485), hAPP(c_List_Oset(_u15483), _u15489))) )).
% 12.17/12.42 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15483, _u15483)), hAPP(hAPP(c_Product__Type_OPair(_u15483, _u15483), _u15485), _u15487)), hAPP(c_List_Oset(tc_prod(_u15483, _u15483)), hAPP(hAPP(c_List_Ozip(_u15483, _u15483), _u15489), _u15489)))) | ( _u15485 = _u15487) )).
% 12.17/12.42 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15484), _u15486), hAPP(c_List_Oset(_u15484), _u15490))) | ( _u15486 != _u15488) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15484, _u15484)), hAPP(hAPP(c_Product__Type_OPair(_u15484, _u15484), _u15486), _u15488)), hAPP(c_List_Oset(tc_prod(_u15484, _u15484)), hAPP(hAPP(c_List_Ozip(_u15484, _u15484), _u15490), _u15490)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15491, _u15492)), hAPP(hAPP(c_Product__Type_OPair(_u15491, _u15492), _u15493), _u15494)), hAPP(c_List_Oset(tc_prod(_u15491, _u15492)), hAPP(hAPP(c_List_Ozip(_u15491, _u15492), _u15495), _u15496)))) | hBOOL(hAPP(hAPP(c_member(_u15491), _u15493), hAPP(c_List_Oset(_u15491), _u15495))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15498), _u15500), hAPP(c_List_Oset(_u15498), _u15502))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15497, _u15498)), hAPP(hAPP(c_Product__Type_OPair(_u15497, _u15498), _u15499), _u15500)), hAPP(c_List_Oset(tc_prod(_u15497, _u15498)), hAPP(hAPP(c_List_Ozip(_u15497, _u15498), _u15501), _u15502)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15503, _u15504)), hAPP(hAPP(c_Product__Type_OPair(_u15503, _u15504), _u15505), _u15506)), hAPP(c_List_Oset(tc_prod(_u15503, _u15504)), hAPP(hAPP(c_List_Ozip(_u15503, _u15504), _u15507), _u15508)))) | hBOOL(hAPP(hAPP(c_member(_u15503), _u15505), hAPP(c_List_Oset(_u15503), _u15507))) )).
% 12.17/12.42 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15503, _u15504)), hAPP(hAPP(c_Product__Type_OPair(_u15503, _u15504), _u15505), _u15506)), hAPP(c_List_Oset(tc_prod(_u15503, _u15504)), hAPP(hAPP(c_List_Ozip(_u15503, _u15504), _u15507), _u15508)))) | hBOOL(hAPP(hAPP(c_member(_u15504), _u15506), hAPP(c_List_Oset(_u15504), _u15508))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15510)), _u15511))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15512)), _u15513))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15510, _u15512)), hAPP(hAPP(c_List_Ozip(_u15510, _u15512), _u15511), _u15513)), _u15509) = hAPP(hAPP(c_Product__Type_OPair(_u15510, _u15512), hAPP(hAPP(c_List_Onth(_u15510), _u15511), _u15509)), hAPP(hAPP(c_List_Onth(_u15512), _u15513), _u15509))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15514, _u15515) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15514), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15515), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15516) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15516), _u15517) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15516), hAPP(c_List_Onth(_u15516), _u15517)), 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(_u15516)), _u15517)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15518, _u15519) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15518, _u15519))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15520, _u15521)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15520, _u15521)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15525) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15522), hAPP(c_List_Oset(tc_Nat_Onat), _u15525))) | ( _u15522 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15526) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem409(_u15526)), hAPP(c_List_Oset(tc_Nat_Onat), _u15526))) )).
% 12.17/12.42 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15526) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem409(_u15526) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15527), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15528), _u15527)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15528))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15529) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15529), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15530), _u15531)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15529), _u15530), hAPP(c_List_Omonoid__add__class_Olistsum(_u15529), _u15531))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15532), _u15533) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15532, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15533), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15534, _u15535) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15534), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15535))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u15537) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15537)) )).
% 12.17/12.42 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15538)) | c_List_Onat__list(_u15538) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15540, _u15542, _u15541)), c_List_Olist_Olist__size(_u15540, _u15543, _u15541))) | hBOOL(hAPP(hAPP(c_member(_u15540), skolem410(_u15543, _u15542, _u15541, _u15540)), hAPP(c_List_Oset(_u15540), _u15541))) )).
% 12.17/12.42 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15540, _u15542, _u15541)), c_List_Olist_Olist__size(_u15540, _u15543, _u15541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15542, skolem410(_u15543, _u15542, _u15541, _u15540))), hAPP(_u15543, skolem410(_u15543, _u15542, _u15541, _u15540)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15544), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15545))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15545), _u15544), _u15546)) = 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), _u15545)), _u15546)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15545), _u15544))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15547), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15548)), _u15549))) | ( c_List_Obutlast(_u15548, hAPP(hAPP(c_List_Otake(_u15548), _u15547), _u15549)) = hAPP(hAPP(c_List_Otake(_u15548), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15547), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15549)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 12.17/12.42 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(_u15550)), _u15551)), _u15552)) | ( hAPP(hAPP(c_List_Olist__update(_u15550, _u15551), _u15552), _u15553) = _u15551) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u15554 = _u15555) | ( hAPP(hAPP(c_List_Onth(_u15556), hAPP(hAPP(c_List_Olist__update(_u15556, _u15557), _u15554), _u15558)), _u15555) = hAPP(hAPP(c_List_Onth(_u15556), _u15557), _u15555)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15559, _u15560), _u15561), hAPP(hAPP(c_List_Onth(_u15559), _u15560), _u15561)) = _u15560) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15562)), hAPP(hAPP(c_List_Olist__update(_u15562, _u15563), _u15564), _u15565)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15562)), _u15563)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_butlast__list__update-1, axiom, ( ( _u15570 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15572)), _u15574)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15572, hAPP(hAPP(c_List_Olist__update(_u15572, _u15574), _u15570), _u15576)) = c_List_Obutlast(_u15572, _u15574)) )).
% 12.17/12.42 cnf(fact_butlast__list__update-2, axiom, ( ( _u15571 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15573)), _u15575)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15573, hAPP(hAPP(c_List_Olist__update(_u15573, _u15575), _u15571), _u15577)) = hAPP(hAPP(c_List_Olist__update(_u15573, c_List_Obutlast(_u15573, _u15575)), _u15571), _u15577)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15578, _u15579), hAPP(hAPP(c_List_Olist__update(_u15578, _u15580), _u15581), _u15582)), hAPP(hAPP(c_List_Olist__update(_u15579, _u15583), _u15581), _u15584)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15578, _u15579), hAPP(hAPP(c_List_Ozip(_u15578, _u15579), _u15580), _u15583)), _u15581), hAPP(hAPP(c_Product__Type_OPair(_u15578, _u15579), _u15582), _u15584))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15585, _u15586), hAPP(hAPP(c_List_Ozip(_u15585, _u15586), _u15587), _u15588)), _u15589), _u15590) = hAPP(hAPP(c_List_Ozip(_u15585, _u15586), hAPP(hAPP(c_List_Olist__update(_u15585, _u15587), _u15589), hAPP(c_Product__Type_Ofst(_u15585, _u15586), _u15590))), hAPP(hAPP(c_List_Olist__update(_u15586, _u15588), _u15589), hAPP(c_Product__Type_Osnd(_u15585, _u15586), _u15590)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15591, hAPP(hAPP(c_List_Olist__update(_u15591, _u15592), _u15593), _u15594)), _u15593), _u15595) = hAPP(hAPP(c_List_Olist__update(_u15591, _u15592), _u15593), _u15595)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__swap-1, axiom, ( ( _u15596 = _u15597) | ( hAPP(hAPP(c_List_Olist__update(_u15598, hAPP(hAPP(c_List_Olist__update(_u15598, _u15599), _u15596), _u15600)), _u15597), _u15601) = hAPP(hAPP(c_List_Olist__update(_u15598, hAPP(hAPP(c_List_Olist__update(_u15598, _u15599), _u15597), _u15601)), _u15596), _u15600)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15602, hAPP(hAPP(c_List_Olist_OCons(_u15602), _u15603), _u15604)), _u15605), _u15606) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15602), hAPP(hAPP(c_List_Olist_OCons(_u15602), _u15606), _u15604), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15602), tc_List_Olist(_u15602), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15602), _u15603)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15602, tc_List_Olist(_u15602)), c_List_Olist__update(_u15602, _u15604)), _u15606)), _u15605)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15607, hAPP(hAPP(c_List_Olist_OCons(_u15607), _u15608), _u15609)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15610) = hAPP(hAPP(c_List_Olist_OCons(_u15607), _u15610), _u15609)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15611, hAPP(hAPP(c_List_Olist_OCons(_u15611), _u15612), _u15613)), hAPP(c_Nat_OSuc, _u15614)), _u15615) = hAPP(hAPP(c_List_Olist_OCons(_u15611), _u15612), hAPP(hAPP(c_List_Olist__update(_u15611, _u15613), _u15614), _u15615))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15616), _u15617), hAPP(c_List_Oset(_u15616), c_List_Obutlast(_u15616, _u15618)))) | hBOOL(hAPP(hAPP(c_member(_u15616), _u15617), hAPP(c_List_Oset(_u15616), _u15618))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15619, tc_HOL_Obool)), hAPP(c_List_Oset(_u15619), _u15620)), _u15621)) | ~hBOOL(hAPP(hAPP(c_member(_u15619), _u15622), _u15621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15619, tc_HOL_Obool)), hAPP(c_List_Oset(_u15619), hAPP(hAPP(c_List_Olist__update(_u15619, _u15620), _u15623), _u15622))), _u15621)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15624, tc_HOL_Obool)), hAPP(c_List_Oset(_u15624), hAPP(hAPP(c_List_Olist__update(_u15624, _u15625), _u15626), _u15627))), hAPP(hAPP(c_Set_Oinsert(_u15624), _u15627), hAPP(c_List_Oset(_u15624), _u15625)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15628), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15629)), _u15630))) | ( _u15628 != _u15631) | ( hAPP(hAPP(c_List_Onth(_u15629), hAPP(hAPP(c_List_Olist__update(_u15629, _u15630), _u15628), _u15632)), _u15631) = _u15632) )).
% 12.17/12.42 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15628), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15629)), _u15630))) | ( _u15628 = _u15631) | ( hAPP(hAPP(c_List_Onth(_u15629), hAPP(hAPP(c_List_Olist__update(_u15629, _u15630), _u15628), _u15632)), _u15631) = hAPP(hAPP(c_List_Onth(_u15629), _u15630), _u15631)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15633), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15634)), _u15635))) | ( hAPP(hAPP(c_List_Olist__update(_u15634, _u15635), _u15633), _u15636) != _u15635) | ( hAPP(hAPP(c_List_Onth(_u15634), _u15635), _u15633) = _u15636) )).
% 12.17/12.42 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15633), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15634)), _u15635))) | ( hAPP(hAPP(c_List_Onth(_u15634), _u15635), _u15633) != _u15636) | ( hAPP(hAPP(c_List_Olist__update(_u15634, _u15635), _u15633), _u15636) = _u15635) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15637), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15638)), _u15639))) | ( hAPP(hAPP(c_List_Onth(_u15638), hAPP(hAPP(c_List_Olist__update(_u15638, _u15639), _u15637), _u15640)), _u15637) = _u15640) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15641), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15642)), _u15643))) | ( hAPP(hAPP(c_List_Otake(_u15642), _u15641), c_List_Obutlast(_u15642, _u15643)) = hAPP(hAPP(c_List_Otake(_u15642), _u15641), _u15643)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15644)), c_List_Obutlast(_u15644, _u15645)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15644)), _u15645)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15646), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15647)), _u15648))) | hBOOL(hAPP(hAPP(c_member(_u15647), _u15649), hAPP(c_List_Oset(_u15647), hAPP(hAPP(c_List_Olist__update(_u15647, _u15648), _u15646), _u15649)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u15650, _u15651) = hAPP(hAPP(c_List_Otake(_u15650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15650)), _u15651)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15651)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15660), tc_List_Olist(_u15660))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15660), tc_List_Olist(_u15660)), _u15662), _u15664)), c_List_Olistrel1(_u15660, _u15666))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15660, _u15660)), hAPP(hAPP(c_Product__Type_OPair(_u15660, _u15660), hAPP(hAPP(c_List_Onth(_u15660), _u15662), skolem412(_u15666, _u15664, _u15662, _u15660))), skolem411(_u15666, _u15664, _u15662, _u15660))), _u15666)) )).
% 12.17/12.42 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15660), tc_List_Olist(_u15660))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15660), tc_List_Olist(_u15660)), _u15662), _u15664)), c_List_Olistrel1(_u15660, _u15666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem412(_u15666, _u15664, _u15662, _u15660)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15660)), _u15662))) )).
% 12.17/12.42 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15660), tc_List_Olist(_u15660))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15660), tc_List_Olist(_u15660)), _u15662), _u15664)), c_List_Olistrel1(_u15660, _u15666))) | ( _u15664 = hAPP(hAPP(c_List_Olist__update(_u15660, _u15662), skolem412(_u15666, _u15664, _u15662, _u15660)), skolem411(_u15666, _u15664, _u15662, _u15660))) )).
% 12.17/12.42 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), hAPP(hAPP(c_List_Onth(_u15661), _u15663), _u15654)), _u15655)), _u15667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15654), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15661)), _u15663))) | ( _u15665 != hAPP(hAPP(c_List_Olist__update(_u15661, _u15663), _u15654), _u15655)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15661), tc_List_Olist(_u15661))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15661), tc_List_Olist(_u15661)), _u15663), _u15665)), c_List_Olistrel1(_u15661, _u15667))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15668), _u15669)) | hBOOL(hAPP(hAPP(c_member(_u15668), _u15670), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15668, tc_HOL_Obool)), hAPP(c_List_Oset(_u15668), _u15669)), hAPP(hAPP(c_Set_Oinsert(_u15668), hAPP(hAPP(c_List_Onth(_u15668), _u15669), _u15671)), c_Orderings_Obot__class_Obot(tc_fun(_u15668, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15668), hAPP(hAPP(c_List_Olist__update(_u15668, _u15669), _u15671), _u15670))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15672, _u15673))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15674), _u15675)) | hBOOL(hAPP(c_List_Odistinct(_u15674), hAPP(hAPP(c_List_Otake(_u15674), _u15676), _u15675))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15677), _u15678)) | hBOOL(hAPP(c_List_Odistinct(_u15677), c_List_Osublist(_u15677, _u15678, _u15679))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15680), _u15681)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15680, _u15682)), hAPP(hAPP(c_List_Ozip(_u15680, _u15682), _u15681), _u15683))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15684), _u15685)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15686, _u15684)), hAPP(hAPP(c_List_Ozip(_u15686, _u15684), _u15687), _u15685))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15691), hAPP(hAPP(c_List_Olist_OCons(_u15691), _u15693), _u15695))) | ~hBOOL(hAPP(hAPP(c_member(_u15691), _u15693), hAPP(c_List_Oset(_u15691), _u15695))) )).
% 12.17/12.42 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15691), hAPP(hAPP(c_List_Olist_OCons(_u15691), _u15693), _u15695))) | hBOOL(hAPP(c_List_Odistinct(_u15691), _u15695)) )).
% 12.17/12.42 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15692), _u15694), hAPP(c_List_Oset(_u15692), _u15696))) | ~hBOOL(hAPP(c_List_Odistinct(_u15692), _u15696)) | hBOOL(hAPP(c_List_Odistinct(_u15692), hAPP(hAPP(c_List_Olist_OCons(_u15692), _u15694), _u15696))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u15697), hAPP(c_List_Oset(_u15697), _u15698)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15697)), _u15698)) | hBOOL(hAPP(c_List_Odistinct(_u15697), _u15698)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15699), _u15700)) | ( hAPP(c_Finite__Set_Ocard(_u15699), hAPP(c_List_Oset(_u15699), _u15700)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15699)), _u15700)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15707), _u15709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15702), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15707)), _u15709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15701), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15707)), _u15709))) | ( _u15702 = _u15701) | ( hAPP(hAPP(c_List_Onth(_u15707), _u15709), _u15702) != hAPP(hAPP(c_List_Onth(_u15707), _u15709), _u15701)) )).
% 12.17/12.42 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15708), _u15710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem413(_u15710, _u15708)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15708)), _u15710))) )).
% 12.17/12.42 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15708), _u15710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem414(_u15710, _u15708)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15708)), _u15710))) )).
% 12.17/12.42 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15708), _u15710)) | ( skolem413(_u15710, _u15708) != skolem414(_u15710, _u15708)) )).
% 12.17/12.42 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15708), _u15710)) | ( hAPP(hAPP(c_List_Onth(_u15708), _u15710), skolem413(_u15710, _u15708)) = hAPP(hAPP(c_List_Onth(_u15708), _u15710), skolem414(_u15710, _u15708))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15711), _u15712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15713), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15711)), _u15712))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15714), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15711)), _u15712))) | ( hAPP(hAPP(c_List_Onth(_u15711), _u15712), _u15713) != hAPP(hAPP(c_List_Onth(_u15711), _u15712), _u15714)) | ( _u15713 = _u15714) )).
% 12.17/12.42 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15711), _u15712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15713), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15711)), _u15712))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15714), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15711)), _u15712))) | ( _u15713 != _u15714) | ( hAPP(hAPP(c_List_Onth(_u15711), _u15712), _u15713) = hAPP(hAPP(c_List_Onth(_u15711), _u15712), _u15714)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15715) | ~hBOOL(hAPP(c_List_Odistinct(_u15715), _u15716)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15715), _u15716) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15715, _u15715), c_COMBI(_u15715)), hAPP(c_List_Oset(_u15715), _u15716))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15719), _u15721)) | ( c_Nitpick_Ocard_H(_u15719, _u15721) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15719)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15719), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15719), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15719)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15719), tc_fun(_u15719, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15719, tc_HOL_Obool), tc_fun(tc_fun(_u15719, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15719)), c_fequal), c_List_Oset(_u15719))), _u15721))), c_List_Odistinct(_u15719))))) )).
% 12.17/12.42 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15720), _u15722)) | ( c_Nitpick_Ocard_H(_u15720, _u15722) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15725)), _u15726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15725)), _u15727))) | ( hAPP(hAPP(c_List_Otake(_u15725), _u15724), _u15726) = hAPP(hAPP(c_List_Otake(_u15725), _u15724), _u15727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u15727, _u15726, _u15725, _u15724)), _u15724)) )).
% 12.17/12.42 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15725)), _u15726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15725)), _u15727))) | ( hAPP(hAPP(c_List_Otake(_u15725), _u15724), _u15726) = hAPP(hAPP(c_List_Otake(_u15725), _u15724), _u15727)) | ( hAPP(hAPP(c_List_Onth(_u15725), _u15726), skolem415(_u15727, _u15726, _u15725, _u15724)) != hAPP(hAPP(c_List_Onth(_u15725), _u15727), skolem415(_u15727, _u15726, _u15725, _u15724))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15728), _u15729)) | ( hAPP(c_List_Oset(_u15728), c_List_Oremove1(_u15728, _u15730, _u15729)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15728, tc_HOL_Obool)), hAPP(c_List_Oset(_u15728), _u15729)), hAPP(hAPP(c_Set_Oinsert(_u15728), _u15730), c_Orderings_Obot__class_Obot(tc_fun(_u15728, tc_HOL_Obool))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15735) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15737), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15735)), hAPP(hAPP(c_List_Olist_OCons(_u15737), _u15739), _u15741)) = c_List_Olist_ONil(_u15737)) )).
% 12.17/12.42 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15736) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15738), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15736)), hAPP(hAPP(c_List_Olist_OCons(_u15738), _u15740), _u15742)) = hAPP(hAPP(c_List_Olist_OCons(_u15738), _u15740), hAPP(hAPP(c_List_Otake(_u15738), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15736)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15742))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15743)), c_List_Olist_ONil(_u15743)), c_List_Olists(_u15743, _u15744))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15745), tc_List_Olist(_u15745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15745), tc_List_Olist(_u15745)), c_List_Olist_ONil(_u15745)), _u15746)), c_List_Olistrel(_u15745, _u15747))) | ( _u15746 = c_List_Olist_ONil(_u15745)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15748), tc_List_Olist(_u15748))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15748), tc_List_Olist(_u15748)), _u15749), c_List_Olist_ONil(_u15748))), c_List_Olistrel(_u15748, _u15750))) | ( _u15749 = c_List_Olist_ONil(_u15748)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__butlast-1, axiom, ( ( _u15751 = c_List_Olist_ONil(_u15752)) | ~hBOOL(hAPP(c_List_Odistinct(_u15752), _u15751)) | hBOOL(hAPP(c_List_Odistinct(_u15752), c_List_Obutlast(_u15752, _u15751))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15753), _u15754)) | hBOOL(hAPP(c_List_Odistinct(_u15753), c_List_Oremove1(_u15753, _u15755, _u15754))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15756), c_List_Olist_ONil(_u15756))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u15757, c_List_Olist_ONil(_u15757)) = c_List_Olist_ONil(_u15757)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u15761 != c_List_Olist_ONil(_u15763)) | ( c_List_Obutlast(_u15763, hAPP(hAPP(c_List_Olist_OCons(_u15763), _u15765), _u15761)) = c_List_Olist_ONil(_u15763)) )).
% 12.17/12.42 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u15762 = c_List_Olist_ONil(_u15764)) | ( c_List_Obutlast(_u15764, hAPP(hAPP(c_List_Olist_OCons(_u15764), _u15766), _u15762)) = hAPP(hAPP(c_List_Olist_OCons(_u15764), _u15766), c_List_Obutlast(_u15764, _u15762))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u15767) != hAPP(hAPP(c_List_Olist_OCons(_u15767), _u15768), _u15769)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15770), _u15771), _u15772) != c_List_Olist_ONil(_u15770)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u15777 != _u15779) | ( c_List_Oremove1(_u15781, _u15777, hAPP(hAPP(c_List_Olist_OCons(_u15781), _u15779), _u15783)) = _u15783) )).
% 12.17/12.42 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u15778 = _u15780) | ( c_List_Oremove1(_u15782, _u15778, hAPP(hAPP(c_List_Olist_OCons(_u15782), _u15780), _u15784)) = hAPP(hAPP(c_List_Olist_OCons(_u15782), _u15780), c_List_Oremove1(_u15782, _u15778, _u15784))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15785), _u15786)) | ( c_List_Oupto(_u15786, _u15785) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15790), _u15792), _u15794) != c_List_Olist_ONil(_u15790)) | ( _u15792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15794 = c_List_Olist_ONil(_u15790)) )).
% 12.17/12.42 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15791), _u15793), _u15795) = c_List_Olist_ONil(_u15791)) | ( _u15793 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15791), _u15793), _u15795) = c_List_Olist_ONil(_u15791)) | ( _u15795 != c_List_Olist_ONil(_u15791)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15796), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15797) = c_List_Olist_ONil(_u15796)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15798), _u15799), c_List_Olist_ONil(_u15798)) = c_List_Olist_ONil(_u15798)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u15800, c_List_Olist_ONil(_u15800), _u15801) = c_List_Olist_ONil(_u15800)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u15802, _u15803, c_List_Oremove1(_u15802, _u15804, _u15805)) = c_List_Oremove1(_u15802, _u15804, c_List_Oremove1(_u15802, _u15803, _u15805))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u15806, _u15807, c_List_Olist_ONil(_u15806)) = c_List_Olist_ONil(_u15806)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u15808, _u15809, c_List_Olist_ONil(_u15808), c_List_Olist_ONil(_u15808)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u15810, _u15811, c_List_Olist_ONil(_u15810), c_List_Olist_ONil(_u15810)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15812, _u15813), c_List_Olist_ONil(_u15812)), _u15814) = c_List_Olist_ONil(tc_prod(_u15812, _u15813))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15815, _u15816), _u15817), c_List_Olist_ONil(_u15816)) = c_List_Olist_ONil(tc_prod(_u15815, _u15816))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15818) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15818), c_List_Olist_ONil(_u15818)) = c_Groups_Ozero__class_Ozero(_u15818)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15821)), _u15823) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15823 = c_List_Olist_ONil(_u15821)) )).
% 12.17/12.42 cnf(fact_length__0__conv-2, axiom, ( ( _u15824 != c_List_Olist_ONil(_u15822)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15822)), _u15824) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15825)), c_List_Olist_ONil(_u15825)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u15828), _u15830) != c_Orderings_Obot__class_Obot(tc_fun(_u15828, tc_HOL_Obool))) | ( _u15830 = c_List_Olist_ONil(_u15828)) )).
% 12.17/12.42 cnf(fact_set__empty-2, axiom, ( ( _u15831 != c_List_Olist_ONil(_u15829)) | ( hAPP(c_List_Oset(_u15829), _u15831) = c_Orderings_Obot__class_Obot(tc_fun(_u15829, tc_HOL_Obool))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u15834, tc_HOL_Obool)) != hAPP(c_List_Oset(_u15834), _u15836)) | ( _u15836 = c_List_Olist_ONil(_u15834)) )).
% 12.17/12.42 cnf(fact_set__empty2-2, axiom, ( ( _u15837 != c_List_Olist_ONil(_u15835)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u15835, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15835), _u15837)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u15838), c_List_Olist_ONil(_u15838)) = c_Orderings_Obot__class_Obot(tc_fun(_u15838, tc_HOL_Obool))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u15839, _u15840, c_List_Olist_ONil(_u15839)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15841, c_List_Olist_ONil(_u15841)), _u15842), _u15843) = c_List_Olist_ONil(_u15841)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15844, c_List_Olist_ONil(_u15844)), _u15845), _u15846) = c_List_Olist_ONil(_u15844)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15851, _u15853), _u15855), _u15857) != c_List_Olist_ONil(_u15851)) | ( _u15853 = c_List_Olist_ONil(_u15851)) )).
% 12.17/12.42 cnf(fact_list__update__nonempty-2, axiom, ( ( _u15854 != c_List_Olist_ONil(_u15852)) | ( hAPP(hAPP(c_List_Olist__update(_u15852, _u15854), _u15856), _u15858) = c_List_Olist_ONil(_u15852)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15859), _u15860), hAPP(c_List_Oset(_u15859), _u15861))) | ( c_List_Oremove1(_u15859, _u15860, _u15861) = _u15861) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15862), _u15863), hAPP(c_List_Oset(_u15862), _u15864))) | ~hBOOL(hAPP(hAPP(c_member(_u15862), _u15863), hAPP(c_List_Oset(_u15862), c_List_Oremove1(_u15862, _u15865, _u15864)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__set__remove1-1, axiom, ( ( _u15866 = _u15867) | ~hBOOL(hAPP(hAPP(c_member(_u15868), _u15866), hAPP(c_List_Oset(_u15868), c_List_Oremove1(_u15868, _u15867, _u15869)))) | hBOOL(hAPP(hAPP(c_member(_u15868), _u15866), hAPP(c_List_Oset(_u15868), _u15869))) )).
% 12.17/12.42 cnf(fact_in__set__remove1-2, axiom, ( ( _u15866 = _u15867) | ~hBOOL(hAPP(hAPP(c_member(_u15868), _u15866), hAPP(c_List_Oset(_u15868), _u15869))) | hBOOL(hAPP(hAPP(c_member(_u15868), _u15866), hAPP(c_List_Oset(_u15868), c_List_Oremove1(_u15868, _u15867, _u15869)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u15870, _u15871, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u15870)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15872, tc_HOL_Obool)), hAPP(c_List_Oset(_u15872), c_List_Oremove1(_u15872, _u15873, _u15874))), hAPP(c_List_Oset(_u15872), _u15874))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 12.17/12.42 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(_u15877)), _u15879))) | ( _u15879 != c_List_Olist_ONil(_u15877)) )).
% 12.17/12.42 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u15880 = c_List_Olist_ONil(_u15878)) | 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(_u15878)), _u15880))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15881), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u15881), _u15882), _u15883)) = hAPP(hAPP(c_List_Olist_OCons(_u15881), _u15882), c_List_Olist_ONil(_u15881))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15884), tc_List_Olist(_u15884))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15884), tc_List_Olist(_u15884)), c_List_Olist_ONil(_u15884)), _u15885)), c_List_Olistrel1(_u15884, _u15886))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15887), tc_List_Olist(_u15887))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15887), tc_List_Olist(_u15887)), _u15888), c_List_Olist_ONil(_u15887))), c_List_Olistrel1(_u15887, _u15889))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15890), tc_List_Olist(_u15890))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15890), tc_List_Olist(_u15890)), c_List_Olist_ONil(_u15890)), c_List_Olist_ONil(_u15890))), c_List_Olistrel(_u15890, _u15891))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15892), tc_List_Olist(_u15892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15892), tc_List_Olist(_u15892)), _u15893), c_List_Olist_ONil(_u15892))), c_List_Olexord(_u15892, _u15894))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15895), tc_List_Olist(_u15895))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15895), tc_List_Olist(_u15895)), c_List_Olist_ONil(_u15895)), _u15896)), c_List_Olex(_u15895, _u15897))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15898), tc_List_Olist(_u15898))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15898), tc_List_Olist(_u15898)), _u15899), c_List_Olist_ONil(_u15898))), c_List_Olex(_u15898, _u15900))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15901), _u15902), hAPP(hAPP(c_List_Olist_OCons(_u15901), _u15903), _u15904)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15901), c_List_Olist_ONil(_u15901), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15901), tc_List_Olist(_u15901), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15901), _u15903)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u15901), tc_List_Olist(_u15901)), c_List_Otake(_u15901)), _u15904)), _u15902)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15907), _u15909)) | ( c_List_Oupto(_u15907, _u15909) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15907), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15907), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15909))) )).
% 12.17/12.42 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15908), _u15910)) | ( c_List_Oupto(_u15908, _u15910) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15914)) | ( c_List_Osublist(_u15916, hAPP(hAPP(c_List_Olist_OCons(_u15916), _u15918), c_List_Olist_ONil(_u15916)), _u15914) = hAPP(hAPP(c_List_Olist_OCons(_u15916), _u15918), c_List_Olist_ONil(_u15916))) )).
% 12.17/12.42 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15915)) | ( c_List_Osublist(_u15917, hAPP(hAPP(c_List_Olist_OCons(_u15917), _u15919), c_List_Olist_ONil(_u15917)), _u15915) = c_List_Olist_ONil(_u15917)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u15920, c_Orderings_Obot__class_Obot(tc_fun(_u15920, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15920)), c_List_Olist_ONil(_u15920)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15920), tc_HOL_Obool)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__Cons_H-1, axiom, ( ( _u15925 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15927), _u15925), hAPP(hAPP(c_List_Olist_OCons(_u15927), _u15929), _u15931)) = c_List_Olist_ONil(_u15927)) )).
% 12.17/12.42 cnf(fact_take__Cons_H-2, axiom, ( ( _u15926 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15928), _u15926), hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932)) = hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), hAPP(hAPP(c_List_Otake(_u15928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15926), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15932))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 12.17/12.42 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), _u15935)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15937))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15935), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15937)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15935)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15935)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15937)))) )).
% 12.17/12.42 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), _u15936)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15938))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15936), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15938)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15939), tc_List_Olist(_u15939), c_List_Olistrel(_u15939, _u15940)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15939)), c_List_Olist_ONil(_u15939)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15939), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15939)), c_List_Olist_ONil(_u15939)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15939), tc_HOL_Obool)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u15941, _u15942, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15941)), c_List_Olist_ONil(_u15941)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15941), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u15941, tc_List_Olist(_u15941), hAPP(hAPP(c_COMBC(_u15941, tc_List_Olist(_u15941), tc_List_Olist(_u15941)), c_List_Olist_OCons(_u15941)), c_List_Olist_ONil(_u15941))), _u15942)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15946), _u15948), hAPP(c_List_Oset(_u15946), _u15950))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15946)), c_List_Oremove1(_u15946, _u15948, _u15950)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15946)), _u15950)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.42 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15947), _u15949), hAPP(c_List_Oset(_u15947), _u15951))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15947)), c_List_Oremove1(_u15947, _u15949, _u15951)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15947)), _u15951)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 12.17/12.42 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), _u15952), _u15953))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15952), _u15953)) | ( c_List_Oupto(_u15952, _u15953) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15952), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15952), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15953))) )).
% 12.17/12.42 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), _u15952), _u15953))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15952), _u15953)) | ( c_List_Oupto(_u15952, _u15953) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_select ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_select-1, axiom, ( ( _u15954 = c_List_Olist_ONil(_u15955)) | hBOOL(hAPP(hAPP(c_member(_u15955), hAPP(c_Product__Type_Ofst(_u15955, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u15955, _u15954), _u15956))), hAPP(c_List_Oset(_u15955), _u15954))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u15957, c_List_Olist_ONil(tc_fun(_u15957, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15957)), c_List_Olist_ONil(_u15957)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15957), tc_HOL_Obool)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15958, _u15959), _u15960), hAPP(hAPP(c_List_Olist_OCons(_u15959), _u15961), _u15962)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15958, _u15959)), _u15958, c_List_Olist_ONil(tc_prod(_u15958, _u15959)), hAPP(hAPP(c_COMBC(_u15958, tc_fun(tc_List_Olist(_u15958), tc_List_Olist(tc_prod(_u15958, _u15959))), tc_fun(tc_List_Olist(_u15958), tc_List_Olist(tc_prod(_u15958, _u15959)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15958, _u15959)), tc_List_Olist(tc_prod(_u15958, _u15959))), tc_fun(tc_fun(tc_List_Olist(_u15958), tc_List_Olist(tc_prod(_u15958, _u15959))), tc_fun(tc_List_Olist(_u15958), tc_List_Olist(tc_prod(_u15958, _u15959)))), _u15958), c_COMBB(tc_List_Olist(tc_prod(_u15958, _u15959)), tc_List_Olist(tc_prod(_u15958, _u15959)), tc_List_Olist(_u15958))), hAPP(hAPP(c_COMBB(tc_prod(_u15958, _u15959), tc_fun(tc_List_Olist(tc_prod(_u15958, _u15959)), tc_List_Olist(tc_prod(_u15958, _u15959))), _u15958), c_List_Olist_OCons(tc_prod(_u15958, _u15959))), hAPP(hAPP(c_COMBC(_u15958, _u15959, tc_prod(_u15958, _u15959)), c_Product__Type_OPair(_u15958, _u15959)), _u15961)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15958), tc_List_Olist(_u15959), tc_List_Olist(tc_prod(_u15958, _u15959))), c_List_Ozip(_u15958, _u15959)), _u15962))), _u15960)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u15963, _u15964, _u15965, _u15966), hAPP(hAPP(c_List_Olist_OCons(_u15964), _u15967), _u15968)) = hAPP(hAPP(_u15966, _u15967), _u15968)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u15969, _u15970, _u15971, _u15972), c_List_Olist_ONil(_u15970)) = _u15971) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u15973, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u15973, tc_HOL_Obool)), _u15974), _u15975)) = c_List_Oset__Cons(_u15973, _u15974, c_List_Olistset(_u15973, _u15975))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15976, _u15977), hAPP(hAPP(c_List_Olist_OCons(_u15976), _u15978), _u15979)), _u15980) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15976, _u15977)), _u15977, c_List_Olist_ONil(tc_prod(_u15976, _u15977)), hAPP(hAPP(c_COMBC(_u15977, tc_fun(tc_List_Olist(_u15977), tc_List_Olist(tc_prod(_u15976, _u15977))), tc_fun(tc_List_Olist(_u15977), tc_List_Olist(tc_prod(_u15976, _u15977)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15976, _u15977)), tc_List_Olist(tc_prod(_u15976, _u15977))), tc_fun(tc_fun(tc_List_Olist(_u15977), tc_List_Olist(tc_prod(_u15976, _u15977))), tc_fun(tc_List_Olist(_u15977), tc_List_Olist(tc_prod(_u15976, _u15977)))), _u15977), c_COMBB(tc_List_Olist(tc_prod(_u15976, _u15977)), tc_List_Olist(tc_prod(_u15976, _u15977)), tc_List_Olist(_u15977))), hAPP(hAPP(c_COMBB(tc_prod(_u15976, _u15977), tc_fun(tc_List_Olist(tc_prod(_u15976, _u15977)), tc_List_Olist(tc_prod(_u15976, _u15977))), _u15977), c_List_Olist_OCons(tc_prod(_u15976, _u15977))), hAPP(c_Product__Type_OPair(_u15976, _u15977), _u15978)))), hAPP(c_List_Ozip(_u15976, _u15977), _u15979))), _u15980)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u15981) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15981), _u15982)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15981, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15981, tc_HOL_Obool)), _u15982), hAPP(hAPP(c_Set_Oinsert(_u15981), _u15983), c_Orderings_Obot__class_Obot(tc_fun(_u15981, tc_HOL_Obool))))) = c_List_Oremove1(_u15981, _u15983, c_List_Olinorder__class_Osorted__list__of__set(_u15981, _u15982))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 12.17/12.42 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), _u15986), _u15987))) | hBOOL(hAPP(hAPP(_u15988, _u15986), _u15987)) | 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), skolem416(_u15988, _u15987, _u15986)), skolem417(_u15988, _u15987, _u15986)))) )).
% 12.17/12.42 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), _u15986), _u15987))) | hBOOL(hAPP(hAPP(_u15988, _u15986), _u15987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem416(_u15988, _u15987, _u15986)), skolem417(_u15988, _u15987, _u15986))) | hBOOL(hAPP(hAPP(_u15988, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem416(_u15988, _u15987, _u15986)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem417(_u15988, _u15987, _u15986))) )).
% 12.17/12.42 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), _u15986), _u15987))) | hBOOL(hAPP(hAPP(_u15988, _u15986), _u15987)) | ~hBOOL(hAPP(hAPP(_u15988, skolem416(_u15988, _u15987, _u15986)), skolem417(_u15988, _u15987, _u15986))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u15989) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15989, c_Orderings_Obot__class_Obot(tc_fun(_u15989, tc_HOL_Obool))) = c_List_Olist_ONil(_u15989)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u15995 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15997, _u15999, _u16001), _u15995), _u16003) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15999), _u15997), c_List_Olist_ONil(_u15999)), _u16003)) )).
% 12.17/12.42 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u15996 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15998, _u16000, _u16002), _u15996), _u16004) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16000), _u15998), tc_prod(_u16000, _u15998), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16000), _u15998), c_List_Olist_ONil(_u16000)), _u16004), hAPP(c_Product__Type_Oprod_Oprod__case(_u16000, _u15998, tc_prod(tc_List_Olist(_u16000), _u15998)), hAPP(hAPP(c_COMBC(_u16000, tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998)), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16000), _u15998), tc_prod(tc_List_Olist(_u16000), _u15998)), tc_fun(tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998)), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), _u16000), c_COMBB(tc_prod(tc_List_Olist(_u16000), _u15998), tc_prod(tc_List_Olist(_u16000), _u15998), _u15998)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16000), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), tc_fun(tc_prod(tc_List_Olist(_u16000), _u15998), tc_prod(tc_List_Olist(_u16000), _u15998)), _u16000), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16000), _u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16000), tc_List_Olist(_u16000)), tc_fun(tc_List_Olist(_u16000), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), _u16000), hAPP(c_COMBB(tc_List_Olist(_u16000), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998)), tc_List_Olist(_u16000)), c_Product__Type_OPair(tc_List_Olist(_u16000), _u15998))), c_List_Olist_OCons(_u16000))))), hAPP(c_Lazy__Sequence_Oanamorph(_u15998, _u16000, _u16002), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15996), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u16002, _u16004))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u16005, hAPP(hAPP(c_List_Olist_OCons(_u16005), _u16006), _u16007), _u16008) = hAPP(hAPP(c_List_Oappend(_u16005), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16005)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16008)), hAPP(hAPP(c_List_Olist_OCons(_u16005), _u16006), c_List_Olist_ONil(_u16005))), c_List_Olist_ONil(_u16005))), c_List_Osublist(_u16005, _u16007, 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)), _u16008))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16018 = c_List_Olist_ONil(_u16016)) | ( _u16018 = hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), skolem418(_u16024, _u16022, _u16020, _u16018, _u16016))) )).
% 12.17/12.42 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16018 = c_List_Olist_ONil(_u16016)) | ( hAPP(hAPP(c_List_Oappend(_u16016), skolem418(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16020) = _u16024) )).
% 12.17/12.42 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16020 = hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16018 = hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), skolem418(_u16024, _u16022, _u16020, _u16018, _u16016))) )).
% 12.17/12.42 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16020 = hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( hAPP(hAPP(c_List_Oappend(_u16016), skolem418(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16020) = _u16024) )).
% 12.17/12.42 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16021) = hAPP(hAPP(c_List_Olist_OCons(_u16017), _u16023), _u16025)) | ( _u16019 != c_List_Olist_ONil(_u16017)) | ( _u16021 != hAPP(hAPP(c_List_Olist_OCons(_u16017), _u16023), _u16025)) )).
% 12.17/12.42 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16021) = hAPP(hAPP(c_List_Olist_OCons(_u16017), _u16023), _u16025)) | ( _u16019 != hAPP(hAPP(c_List_Olist_OCons(_u16017), _u16023), _u16010)) | ( hAPP(hAPP(c_List_Oappend(_u16017), _u16010), _u16021) != _u16025) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) != hAPP(hAPP(c_List_Oappend(_u16033), _u16039), _u16041)) | ( _u16039 = c_List_Olist_ONil(_u16033)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), skolem419(_u16041, _u16039, _u16037, _u16035, _u16033)) = _u16039) )).
% 12.17/12.42 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) != hAPP(hAPP(c_List_Oappend(_u16033), _u16039), _u16041)) | ( _u16039 = c_List_Olist_ONil(_u16033)) | ( _u16037 = hAPP(hAPP(c_List_Oappend(_u16033), skolem419(_u16041, _u16039, _u16037, _u16035, _u16033)), _u16041)) )).
% 12.17/12.42 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) != hAPP(hAPP(c_List_Oappend(_u16033), _u16039), _u16041)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) = _u16041) | ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), skolem419(_u16041, _u16039, _u16037, _u16035, _u16033)) = _u16039) )).
% 12.17/12.42 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) != hAPP(hAPP(c_List_Oappend(_u16033), _u16039), _u16041)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) = _u16041) | ( _u16037 = hAPP(hAPP(c_List_Oappend(_u16033), skolem419(_u16041, _u16039, _u16037, _u16035, _u16033)), _u16041)) )).
% 12.17/12.42 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16034), _u16036), _u16038) = hAPP(hAPP(c_List_Oappend(_u16034), _u16040), _u16042)) | ( _u16040 != c_List_Olist_ONil(_u16034)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16034), _u16036), _u16038) != _u16042) )).
% 12.17/12.42 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16034), _u16036), _u16038) = hAPP(hAPP(c_List_Oappend(_u16034), _u16040), _u16042)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16034), _u16036), _u16027) != _u16040) | ( _u16038 != hAPP(hAPP(c_List_Oappend(_u16034), _u16027), _u16042)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16048), _u16050), hAPP(hAPP(c_List_Olist_OCons(_u16048), _u16052), c_List_Olist_ONil(_u16048))) != hAPP(hAPP(c_List_Oappend(_u16048), _u16054), hAPP(hAPP(c_List_Olist_OCons(_u16048), _u16056), c_List_Olist_ONil(_u16048)))) | ( _u16050 = _u16054) )).
% 12.17/12.42 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16048), _u16050), hAPP(hAPP(c_List_Olist_OCons(_u16048), _u16052), c_List_Olist_ONil(_u16048))) != hAPP(hAPP(c_List_Oappend(_u16048), _u16054), hAPP(hAPP(c_List_Olist_OCons(_u16048), _u16056), c_List_Olist_ONil(_u16048)))) | ( _u16052 = _u16056) )).
% 12.17/12.42 cnf(fact_append1__eq__conv-3, axiom, ( ( _u16051 != _u16055) | ( _u16053 != _u16057) | ( hAPP(hAPP(c_List_Oappend(_u16049), _u16051), hAPP(hAPP(c_List_Olist_OCons(_u16049), _u16053), c_List_Olist_ONil(_u16049))) = hAPP(hAPP(c_List_Oappend(_u16049), _u16055), hAPP(hAPP(c_List_Olist_OCons(_u16049), _u16057), c_List_Olist_ONil(_u16049)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16058), hAPP(hAPP(c_List_Olist_OCons(_u16058), _u16059), _u16060)), _u16061) = hAPP(hAPP(c_List_Olist_OCons(_u16058), _u16059), hAPP(hAPP(c_List_Oappend(_u16058), _u16060), _u16061))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16062), _u16063), _u16064) != _u16065) | ( _u16066 != hAPP(hAPP(c_List_Oappend(_u16062), _u16064), _u16067)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16062), _u16063), _u16066) = hAPP(hAPP(c_List_Oappend(_u16062), _u16065), _u16067)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16072)), hAPP(hAPP(c_List_Oappend(_u16072), _u16074), _u16076)), c_List_Olists(_u16072, _u16078))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16072)), _u16074), c_List_Olists(_u16072, _u16078))) )).
% 12.17/12.42 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16072)), hAPP(hAPP(c_List_Oappend(_u16072), _u16074), _u16076)), c_List_Olists(_u16072, _u16078))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16072)), _u16076), c_List_Olists(_u16072, _u16078))) )).
% 12.17/12.42 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16073)), _u16075), c_List_Olists(_u16073, _u16079))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16073)), _u16077), c_List_Olists(_u16073, _u16079))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16073)), hAPP(hAPP(c_List_Oappend(_u16073), _u16075), _u16077)), c_List_Olists(_u16073, _u16079))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16080), _u16081), _u16082) != _u16083) | ( _u16084 != hAPP(hAPP(c_List_Oappend(_u16080), _u16082), _u16085)) | ( hAPP(hAPP(c_List_Oappend(_u16080), _u16081), _u16084) = hAPP(hAPP(c_List_Oappend(_u16080), _u16083), _u16085)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__same__eq-1, axiom, ( ( _u16092 = _u16096) | ( hAPP(hAPP(c_List_Oappend(_u16090), _u16092), _u16094) != hAPP(hAPP(c_List_Oappend(_u16090), _u16096), _u16094)) )).
% 12.17/12.42 cnf(fact_append__same__eq-2, axiom, ( ( _u16093 != _u16097) | ( hAPP(hAPP(c_List_Oappend(_u16091), _u16093), _u16095) = hAPP(hAPP(c_List_Oappend(_u16091), _u16097), _u16095)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_same__append__eq-1, axiom, ( ( _u16106 = _u16108) | ( hAPP(hAPP(c_List_Oappend(_u16102), _u16104), _u16106) != hAPP(hAPP(c_List_Oappend(_u16102), _u16104), _u16108)) )).
% 12.17/12.42 cnf(fact_same__append__eq-2, axiom, ( ( _u16107 != _u16109) | ( hAPP(hAPP(c_List_Oappend(_u16103), _u16105), _u16107) = hAPP(hAPP(c_List_Oappend(_u16103), _u16105), _u16109)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125) != hAPP(hAPP(c_List_Oappend(_u16121), _u16127), _u16129)) | ( _u16123 = hAPP(hAPP(c_List_Oappend(_u16121), _u16127), skolem420(_u16129, _u16127, _u16125, _u16123, _u16121))) | ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), skolem421(_u16129, _u16127, _u16125, _u16123, _u16121)) = _u16127) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125) != hAPP(hAPP(c_List_Oappend(_u16121), _u16127), _u16129)) | ( _u16123 = hAPP(hAPP(c_List_Oappend(_u16121), _u16127), skolem420(_u16129, _u16127, _u16125, _u16123, _u16121))) | ( _u16125 = hAPP(hAPP(c_List_Oappend(_u16121), skolem421(_u16129, _u16127, _u16125, _u16123, _u16121)), _u16129)) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125) != hAPP(hAPP(c_List_Oappend(_u16121), _u16127), _u16129)) | ( hAPP(hAPP(c_List_Oappend(_u16121), skolem420(_u16129, _u16127, _u16125, _u16123, _u16121)), _u16125) = _u16129) | ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), skolem421(_u16129, _u16127, _u16125, _u16123, _u16121)) = _u16127) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125) != hAPP(hAPP(c_List_Oappend(_u16121), _u16127), _u16129)) | ( hAPP(hAPP(c_List_Oappend(_u16121), skolem420(_u16129, _u16127, _u16125, _u16123, _u16121)), _u16125) = _u16129) | ( _u16125 = hAPP(hAPP(c_List_Oappend(_u16121), skolem421(_u16129, _u16127, _u16125, _u16123, _u16121)), _u16129)) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16122), _u16124), _u16126) = hAPP(hAPP(c_List_Oappend(_u16122), _u16128), _u16130)) | ( _u16124 != hAPP(hAPP(c_List_Oappend(_u16122), _u16128), _u16119)) | ( hAPP(hAPP(c_List_Oappend(_u16122), _u16119), _u16126) != _u16130) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16122), _u16124), _u16126) = hAPP(hAPP(c_List_Oappend(_u16122), _u16128), _u16130)) | ( hAPP(hAPP(c_List_Oappend(_u16122), _u16124), _u16120) != _u16128) | ( _u16126 != hAPP(hAPP(c_List_Oappend(_u16122), _u16120), _u16130)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16131), hAPP(hAPP(c_List_Oappend(_u16131), _u16132), _u16133)), _u16134) = hAPP(hAPP(c_List_Oappend(_u16131), _u16132), hAPP(hAPP(c_List_Oappend(_u16131), _u16133), _u16134))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u16135) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16135), hAPP(hAPP(c_List_Oappend(_u16135), _u16136), _u16137)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16135), hAPP(c_List_Omonoid__add__class_Olistsum(_u16135), _u16136)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16135), _u16137))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16138)), hAPP(hAPP(c_List_Oappend(_u16138), _u16139), _u16140)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16138)), _u16139)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16138)), _u16140))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16141)), _u16142) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16143)), _u16144)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16141)), _u16145) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16143)), _u16146)) | ( hAPP(hAPP(c_List_Ozip(_u16141, _u16143), hAPP(hAPP(c_List_Oappend(_u16141), _u16142), _u16145)), hAPP(hAPP(c_List_Oappend(_u16143), _u16144), _u16146)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16141, _u16143)), hAPP(hAPP(c_List_Ozip(_u16141, _u16143), _u16142), _u16144)), hAPP(hAPP(c_List_Ozip(_u16141, _u16143), _u16145), _u16146))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u16147), hAPP(hAPP(c_List_Oappend(_u16147), _u16148), _u16149)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16147, tc_HOL_Obool)), hAPP(c_List_Oset(_u16147), _u16148)), hAPP(c_List_Oset(_u16147), _u16149))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16150), c_List_Olist_ONil(_u16150)), _u16151) = _u16151) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u16155) != hAPP(hAPP(c_List_Oappend(_u16155), _u16157), _u16159)) | ( _u16157 = c_List_Olist_ONil(_u16155)) )).
% 12.17/12.42 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u16155) != hAPP(hAPP(c_List_Oappend(_u16155), _u16157), _u16159)) | ( _u16159 = c_List_Olist_ONil(_u16155)) )).
% 12.17/12.42 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u16158 != c_List_Olist_ONil(_u16156)) | ( _u16160 != c_List_Olist_ONil(_u16156)) | ( c_List_Olist_ONil(_u16156) = hAPP(hAPP(c_List_Oappend(_u16156), _u16158), _u16160)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16161), _u16162), c_List_Olist_ONil(_u16161)) = _u16162) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_self__append__conv-1, axiom, ( ( _u16170 = c_List_Olist_ONil(_u16168)) | ( _u16166 != hAPP(hAPP(c_List_Oappend(_u16168), _u16166), _u16170)) )).
% 12.17/12.42 cnf(fact_self__append__conv-2, axiom, ( ( _u16171 != c_List_Olist_ONil(_u16169)) | ( _u16167 = hAPP(hAPP(c_List_Oappend(_u16169), _u16167), _u16171)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_self__append__conv2-1, axiom, ( ( _u16179 = c_List_Olist_ONil(_u16177)) | ( _u16175 != hAPP(hAPP(c_List_Oappend(_u16177), _u16179), _u16175)) )).
% 12.17/12.42 cnf(fact_self__append__conv2-2, axiom, ( ( _u16180 != c_List_Olist_ONil(_u16178)) | ( _u16176 = hAPP(hAPP(c_List_Oappend(_u16178), _u16180), _u16176)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16184), _u16186), _u16188) != c_List_Olist_ONil(_u16184)) | ( _u16186 = c_List_Olist_ONil(_u16184)) )).
% 12.17/12.42 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16184), _u16186), _u16188) != c_List_Olist_ONil(_u16184)) | ( _u16188 = c_List_Olist_ONil(_u16184)) )).
% 12.17/12.42 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u16187 != c_List_Olist_ONil(_u16185)) | ( _u16189 != c_List_Olist_ONil(_u16185)) | ( hAPP(hAPP(c_List_Oappend(_u16185), _u16187), _u16189) = c_List_Olist_ONil(_u16185)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16193), _u16195), _u16197) != _u16195) | ( _u16197 = c_List_Olist_ONil(_u16193)) )).
% 12.17/12.42 cnf(fact_append__self__conv-2, axiom, ( ( _u16198 != c_List_Olist_ONil(_u16194)) | ( hAPP(hAPP(c_List_Oappend(_u16194), _u16196), _u16198) = _u16196) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16202), _u16204), _u16206) != _u16206) | ( _u16204 = c_List_Olist_ONil(_u16202)) )).
% 12.17/12.42 cnf(fact_append__self__conv2-2, axiom, ( ( _u16205 != c_List_Olist_ONil(_u16203)) | ( hAPP(hAPP(c_List_Oappend(_u16203), _u16205), _u16207) = _u16207) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u16208 != _u16209) | ( _u16208 = hAPP(hAPP(c_List_Oappend(_u16210), c_List_Olist_ONil(_u16210)), _u16209)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_butlast__append-1, axiom, ( ( _u16214 != c_List_Olist_ONil(_u16216)) | ( c_List_Obutlast(_u16216, hAPP(hAPP(c_List_Oappend(_u16216), _u16218), _u16214)) = c_List_Obutlast(_u16216, _u16218)) )).
% 12.17/12.42 cnf(fact_butlast__append-2, axiom, ( ( _u16215 = c_List_Olist_ONil(_u16217)) | ( c_List_Obutlast(_u16217, hAPP(hAPP(c_List_Oappend(_u16217), _u16219), _u16215)) = hAPP(hAPP(c_List_Oappend(_u16217), _u16219), c_List_Obutlast(_u16217, _u16215))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16220), hAPP(hAPP(c_List_Oappend(_u16220), _u16221), hAPP(hAPP(c_List_Olist_OCons(_u16220), _u16222), _u16223))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16220)), _u16221)) = _u16222) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16224), hAPP(hAPP(c_List_Oappend(_u16224), _u16225), _u16226)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16224)), _u16225)), _u16227)) = hAPP(hAPP(c_List_Onth(_u16224), _u16226), _u16227)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16228), _u16229), hAPP(hAPP(c_List_Oappend(_u16228), _u16230), _u16231)) = hAPP(hAPP(c_List_Oappend(_u16228), hAPP(hAPP(c_List_Otake(_u16228), _u16229), _u16230)), hAPP(hAPP(c_List_Otake(_u16228), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16229), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16228)), _u16230))), _u16231))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16233)), _u16234))) | ( hAPP(hAPP(c_List_Olist__update(_u16233, hAPP(hAPP(c_List_Oappend(_u16233), _u16234), _u16235)), _u16232), _u16236) = hAPP(hAPP(c_List_Oappend(_u16233), hAPP(hAPP(c_List_Olist__update(_u16233, _u16234), _u16232), _u16236)), _u16235)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16237, hAPP(hAPP(c_List_Oappend(_u16237), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16237), _u16239), _u16240))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16237)), _u16238)), _u16241) = hAPP(hAPP(c_List_Oappend(_u16237), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16237), _u16241), _u16240))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16246), _u16248), hAPP(c_List_Oset(_u16246), _u16250))) | ( c_List_Oremove1(_u16246, _u16248, hAPP(hAPP(c_List_Oappend(_u16246), _u16250), _u16252)) = hAPP(hAPP(c_List_Oappend(_u16246), c_List_Oremove1(_u16246, _u16248, _u16250)), _u16252)) )).
% 12.17/12.42 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16247), _u16249), hAPP(c_List_Oset(_u16247), _u16251))) | ( c_List_Oremove1(_u16247, _u16249, hAPP(hAPP(c_List_Oappend(_u16247), _u16251), _u16253)) = hAPP(hAPP(c_List_Oappend(_u16247), _u16251), c_List_Oremove1(_u16247, _u16249, _u16253))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16254), _u16255), hAPP(c_List_Oset(_u16254), c_List_Obutlast(_u16254, hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16257))))) | ~hBOOL(hAPP(hAPP(c_member(_u16254), _u16255), hAPP(c_List_Oset(_u16254), c_List_Obutlast(_u16254, _u16256)))) )).
% 12.17/12.42 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16254), _u16255), hAPP(c_List_Oset(_u16254), c_List_Obutlast(_u16254, hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16257))))) | ~hBOOL(hAPP(hAPP(c_member(_u16254), _u16255), hAPP(c_List_Oset(_u16254), c_List_Obutlast(_u16254, _u16257)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u16258, hAPP(hAPP(c_List_Oappend(_u16258), _u16259), hAPP(hAPP(c_List_Olist_OCons(_u16258), _u16260), c_List_Olist_ONil(_u16258)))) = _u16259) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16261), tc_List_Olist(_u16261))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16261), tc_List_Olist(_u16261)), hAPP(hAPP(c_List_Oappend(_u16261), _u16262), _u16265)), hAPP(hAPP(c_List_Oappend(_u16261), _u16263), _u16266))), c_List_Olistrel1(_u16261, _u16264))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16261), tc_List_Olist(_u16261))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16261), tc_List_Olist(_u16261)), _u16262), _u16263)), c_List_Olistrel1(_u16261, _u16264))) | ( _u16265 != _u16266) )).
% 12.17/12.42 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16261), tc_List_Olist(_u16261))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16261), tc_List_Olist(_u16261)), hAPP(hAPP(c_List_Oappend(_u16261), _u16262), _u16265)), hAPP(hAPP(c_List_Oappend(_u16261), _u16263), _u16266))), c_List_Olistrel1(_u16261, _u16264))) | ( _u16262 != _u16263) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16261), tc_List_Olist(_u16261))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16261), tc_List_Olist(_u16261)), _u16265), _u16266)), c_List_Olistrel1(_u16261, _u16264))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16267), tc_List_Olist(_u16267))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16267), tc_List_Olist(_u16267)), _u16268), _u16269)), c_List_Olexord(_u16267, _u16270))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16267), tc_List_Olist(_u16267))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16267), tc_List_Olist(_u16267)), hAPP(hAPP(c_List_Oappend(_u16267), _u16271), _u16268)), hAPP(hAPP(c_List_Oappend(_u16267), _u16271), _u16269))), c_List_Olexord(_u16267, _u16270))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16275), hAPP(hAPP(c_List_Oappend(_u16275), _u16277), _u16279))) | hBOOL(hAPP(c_List_Odistinct(_u16275), _u16277)) )).
% 12.17/12.42 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16275), hAPP(hAPP(c_List_Oappend(_u16275), _u16277), _u16279))) | hBOOL(hAPP(c_List_Odistinct(_u16275), _u16279)) )).
% 12.17/12.42 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16275), hAPP(hAPP(c_List_Oappend(_u16275), _u16277), _u16279))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16275, tc_HOL_Obool)), hAPP(c_List_Oset(_u16275), _u16277)), hAPP(c_List_Oset(_u16275), _u16279)) = c_Orderings_Obot__class_Obot(tc_fun(_u16275, tc_HOL_Obool))) )).
% 12.17/12.42 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16276), _u16278)) | ~hBOOL(hAPP(c_List_Odistinct(_u16276), _u16280)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16276, tc_HOL_Obool)), hAPP(c_List_Oset(_u16276), _u16278)), hAPP(c_List_Oset(_u16276), _u16280)) != c_Orderings_Obot__class_Obot(tc_fun(_u16276, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16276), hAPP(hAPP(c_List_Oappend(_u16276), _u16278), _u16280))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16287)), _u16289))) | ( hAPP(hAPP(c_List_Onth(_u16287), hAPP(hAPP(c_List_Oappend(_u16287), _u16289), _u16291)), _u16285) = hAPP(hAPP(c_List_Onth(_u16287), _u16289), _u16285)) )).
% 12.17/12.42 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16286), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16288)), _u16290))) | ( hAPP(hAPP(c_List_Onth(_u16288), hAPP(hAPP(c_List_Oappend(_u16288), _u16290), _u16292)), _u16286) = hAPP(hAPP(c_List_Onth(_u16288), _u16292), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16286), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16288)), _u16290)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16298), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16300)), _u16302))) | ( hAPP(hAPP(c_List_Olist__update(_u16300, hAPP(hAPP(c_List_Oappend(_u16300), _u16302), _u16304)), _u16298), _u16306) = hAPP(hAPP(c_List_Oappend(_u16300), hAPP(hAPP(c_List_Olist__update(_u16300, _u16302), _u16298), _u16306)), _u16304)) )).
% 12.17/12.42 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16299), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16301)), _u16303))) | ( hAPP(hAPP(c_List_Olist__update(_u16301, hAPP(hAPP(c_List_Oappend(_u16301), _u16303), _u16305)), _u16299), _u16307) = hAPP(hAPP(c_List_Oappend(_u16301), _u16303), hAPP(hAPP(c_List_Olist__update(_u16301, _u16305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16299), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16301)), _u16303))), _u16307))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u16308, hAPP(hAPP(c_List_Oappend(_u16308), _u16309), _u16310), _u16311) = hAPP(hAPP(c_List_Oappend(_u16308), c_List_Osublist(_u16308, _u16309, _u16311)), c_List_Osublist(_u16308, _u16310, 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(_u16308)), _u16309)))), _u16311))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16312, _u16312)), hAPP(hAPP(c_Product__Type_OPair(_u16312, _u16312), _u16313), _u16314)), _u16315)) | ( _u16316 != hAPP(hAPP(c_List_Oappend(_u16312), _u16317), hAPP(hAPP(c_List_Olist_OCons(_u16312), _u16313), _u16318))) | ( _u16319 != hAPP(hAPP(c_List_Oappend(_u16312), _u16317), hAPP(hAPP(c_List_Olist_OCons(_u16312), _u16314), _u16318))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16312), tc_List_Olist(_u16312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16312), tc_List_Olist(_u16312)), _u16316), _u16319)), c_List_Olistrel1(_u16312, _u16315))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16320, _u16320)), hAPP(hAPP(c_Product__Type_OPair(_u16320, _u16320), _u16321), _u16322)), _u16323)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16320), tc_List_Olist(_u16320))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16320), tc_List_Olist(_u16320)), hAPP(hAPP(c_List_Oappend(_u16320), _u16324), hAPP(hAPP(c_List_Olist_OCons(_u16320), _u16321), _u16325))), hAPP(hAPP(c_List_Oappend(_u16320), _u16324), hAPP(hAPP(c_List_Olist_OCons(_u16320), _u16322), _u16326)))), c_List_Olexord(_u16320, _u16323))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16327), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16328)), _u16329))) | ( hAPP(hAPP(c_List_Otake(_u16328), hAPP(c_Nat_OSuc, _u16327)), _u16329) = hAPP(hAPP(c_List_Oappend(_u16328), hAPP(hAPP(c_List_Otake(_u16328), _u16327), _u16329)), hAPP(hAPP(c_List_Olist_OCons(_u16328), hAPP(hAPP(c_List_Onth(_u16328), _u16329), _u16327)), c_List_Olist_ONil(_u16328)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16340), c_List_Olist_ONil(_u16336)))), hAPP(hAPP(c_List_Oappend(_u16336), _u16342), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16344), c_List_Olist_ONil(_u16336))))), c_List_Olistrel1(_u16336, _u16346))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), _u16338), _u16342)), c_List_Olistrel1(_u16336, _u16346))) | ( _u16338 = _u16342) )).
% 12.17/12.42 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16340), c_List_Olist_ONil(_u16336)))), hAPP(hAPP(c_List_Oappend(_u16336), _u16342), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16344), c_List_Olist_ONil(_u16336))))), c_List_Olistrel1(_u16336, _u16346))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), _u16338), _u16342)), c_List_Olistrel1(_u16336, _u16346))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16336, _u16336)), hAPP(hAPP(c_Product__Type_OPair(_u16336, _u16336), _u16340), _u16344)), _u16346)) )).
% 12.17/12.42 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16340), c_List_Olist_ONil(_u16336)))), hAPP(hAPP(c_List_Oappend(_u16336), _u16342), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16344), c_List_Olist_ONil(_u16336))))), c_List_Olistrel1(_u16336, _u16346))) | ( _u16340 = _u16344) | ( _u16338 = _u16342) )).
% 12.17/12.42 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16340), c_List_Olist_ONil(_u16336)))), hAPP(hAPP(c_List_Oappend(_u16336), _u16342), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16344), c_List_Olist_ONil(_u16336))))), c_List_Olistrel1(_u16336, _u16346))) | ( _u16340 = _u16344) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16336, _u16336)), hAPP(hAPP(c_Product__Type_OPair(_u16336, _u16336), _u16340), _u16344)), _u16346)) )).
% 12.17/12.42 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16337), tc_List_Olist(_u16337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16337), tc_List_Olist(_u16337)), hAPP(hAPP(c_List_Oappend(_u16337), _u16339), hAPP(hAPP(c_List_Olist_OCons(_u16337), _u16341), c_List_Olist_ONil(_u16337)))), hAPP(hAPP(c_List_Oappend(_u16337), _u16343), hAPP(hAPP(c_List_Olist_OCons(_u16337), _u16345), c_List_Olist_ONil(_u16337))))), c_List_Olistrel1(_u16337, _u16347))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16337), tc_List_Olist(_u16337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16337), tc_List_Olist(_u16337)), _u16339), _u16343)), c_List_Olistrel1(_u16337, _u16347))) | ( _u16341 != _u16345) )).
% 12.17/12.42 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16337), tc_List_Olist(_u16337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16337), tc_List_Olist(_u16337)), hAPP(hAPP(c_List_Oappend(_u16337), _u16339), hAPP(hAPP(c_List_Olist_OCons(_u16337), _u16341), c_List_Olist_ONil(_u16337)))), hAPP(hAPP(c_List_Oappend(_u16337), _u16343), hAPP(hAPP(c_List_Olist_OCons(_u16337), _u16345), c_List_Olist_ONil(_u16337))))), c_List_Olistrel1(_u16337, _u16347))) | ( _u16339 != _u16343) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16337, _u16337)), hAPP(hAPP(c_Product__Type_OPair(_u16337, _u16337), _u16341), _u16345)), _u16347)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16352), tc_List_Olist(_u16352))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16352), tc_List_Olist(_u16352)), _u16353), _u16354)), c_List_Olistrel1(_u16352, _u16355))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16352, _u16352)), hAPP(hAPP(c_Product__Type_OPair(_u16352, _u16352), skolem422(_u16355, _u16354, _u16353, _u16352)), skolem423(_u16355, _u16354, _u16353, _u16352))), _u16355)) )).
% 12.17/12.42 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16352), tc_List_Olist(_u16352))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16352), tc_List_Olist(_u16352)), _u16353), _u16354)), c_List_Olistrel1(_u16352, _u16355))) | ( _u16353 = hAPP(hAPP(c_List_Oappend(_u16352), skolem424(_u16355, _u16354, _u16353, _u16352)), hAPP(hAPP(c_List_Olist_OCons(_u16352), skolem422(_u16355, _u16354, _u16353, _u16352)), skolem425(_u16355, _u16354, _u16353, _u16352)))) )).
% 12.17/12.42 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16352), tc_List_Olist(_u16352))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16352), tc_List_Olist(_u16352)), _u16353), _u16354)), c_List_Olistrel1(_u16352, _u16355))) | ( _u16354 = hAPP(hAPP(c_List_Oappend(_u16352), skolem424(_u16355, _u16354, _u16353, _u16352)), hAPP(hAPP(c_List_Olist_OCons(_u16352), skolem423(_u16355, _u16354, _u16353, _u16352)), skolem425(_u16355, _u16354, _u16353, _u16352)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16358), _u16359)), hAPP(hAPP(c_List_Oappend(_u16357), _u16358), _u16360))), c_List_Olexord(_u16357, _u16361))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16357, _u16357)), hAPP(hAPP(c_Product__Type_OPair(_u16357, _u16357), skolem426(_u16361, _u16360, _u16359, _u16358, _u16357)), skolem426(_u16361, _u16360, _u16359, _u16358, _u16357))), _u16361)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), _u16359), _u16360)), c_List_Olexord(_u16357, _u16361))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u16362), _u16363) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16362), _u16362, c_List_Olist_ONil(_u16362), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16362), tc_fun(tc_List_Olist(_u16362), tc_List_Olist(_u16362)), _u16362), hAPP(c_COMBC(tc_List_Olist(_u16362), tc_List_Olist(_u16362), tc_List_Olist(_u16362)), c_List_Oappend(_u16362))), hAPP(hAPP(c_COMBC(_u16362, tc_List_Olist(_u16362), tc_List_Olist(_u16362)), c_List_Olist_OCons(_u16362)), c_List_Olist_ONil(_u16362)))), _u16363)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16364), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16365)), _u16366))) | ( hAPP(hAPP(c_List_Olist__update(_u16365, _u16366), _u16364), _u16367) = hAPP(hAPP(c_List_Oappend(_u16365), hAPP(hAPP(c_List_Otake(_u16365), _u16364), _u16366)), hAPP(hAPP(c_List_Olist_OCons(_u16365), _u16367), hAPP(hAPP(c_List_Odrop(_u16365), hAPP(c_Nat_OSuc, _u16364)), _u16366)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16368), hAPP(hAPP(c_List_Otake(_u16368), _u16369), _u16370)), hAPP(hAPP(c_List_Odrop(_u16368), _u16369), _u16370)) = _u16370) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16371), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16371), _u16372), _u16373)) = _u16373) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16374), hAPP(c_Nat_OSuc, _u16375)), hAPP(hAPP(c_List_Olist_OCons(_u16374), _u16376), _u16377)) = hAPP(hAPP(c_List_Odrop(_u16374), _u16375), _u16377)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16378), _u16379), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16378), _u16381), _u16382)) | ( hAPP(hAPP(c_List_Onth(_u16378), _u16380), _u16379) = _u16381) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16383), _u16384)) | hBOOL(hAPP(c_List_Odistinct(_u16383), hAPP(hAPP(c_List_Odrop(_u16383), _u16385), _u16384))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16388), hAPP(c_List_Orotate1(_u16388), _u16390))) | hBOOL(hAPP(c_List_Odistinct(_u16388), _u16390)) )).
% 12.17/12.42 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16389), _u16391)) | hBOOL(hAPP(c_List_Odistinct(_u16389), hAPP(c_List_Orotate1(_u16389), _u16391))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u16392, hAPP(hAPP(c_List_Odrop(_u16392), _u16393), _u16394)) = hAPP(hAPP(c_List_Odrop(_u16392), _u16393), c_List_Obutlast(_u16392, _u16394))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16395), _u16396), c_List_Obutlast(_u16395, _u16397)) = c_List_Obutlast(_u16395, hAPP(hAPP(c_List_Odrop(_u16395), _u16396), _u16397))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16398), _u16399), hAPP(hAPP(c_List_Otake(_u16398), _u16400), _u16401)) = hAPP(hAPP(c_List_Otake(_u16398), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16400), _u16399)), hAPP(hAPP(c_List_Odrop(_u16398), _u16399), _u16401))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16402), _u16403), hAPP(hAPP(c_List_Odrop(_u16402), _u16404), _u16405)) = hAPP(hAPP(c_List_Odrop(_u16402), _u16404), hAPP(hAPP(c_List_Otake(_u16402), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16403), _u16404)), _u16405))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16406), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16407) = _u16407) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16408), _u16409), hAPP(hAPP(c_List_Odrop(_u16408), _u16410), _u16411)) = hAPP(hAPP(c_List_Odrop(_u16408), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16409), _u16410)), _u16411)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16412, _u16413)), _u16414), hAPP(hAPP(c_List_Ozip(_u16412, _u16413), _u16415), _u16416)) = hAPP(hAPP(c_List_Ozip(_u16412, _u16413), hAPP(hAPP(c_List_Odrop(_u16412), _u16414), _u16415)), hAPP(hAPP(c_List_Odrop(_u16413), _u16414), _u16416))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16417)), hAPP(hAPP(c_List_Odrop(_u16417), _u16418), _u16419)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16417)), _u16419)), _u16418)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16420)), hAPP(c_List_Orotate1(_u16420), _u16421)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16420)), _u16421)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u16422), hAPP(c_List_Orotate1(_u16422), _u16423)) = hAPP(c_List_Oset(_u16422), _u16423)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16424), _u16425), hAPP(c_List_Oset(_u16424), hAPP(hAPP(c_List_Odrop(_u16424), _u16426), _u16427)))) | hBOOL(hAPP(hAPP(c_member(_u16424), _u16425), hAPP(c_List_Oset(_u16424), _u16427))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16428, tc_HOL_Obool)), hAPP(c_List_Oset(_u16428), hAPP(hAPP(c_List_Odrop(_u16428), _u16429), _u16430))), hAPP(c_List_Oset(_u16428), _u16430))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16431), _u16432), c_List_Olist_ONil(_u16431)) = c_List_Olist_ONil(_u16431)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u16435), _u16437) != c_List_Olist_ONil(_u16435)) | ( _u16437 = c_List_Olist_ONil(_u16435)) )).
% 12.17/12.42 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u16438 != c_List_Olist_ONil(_u16436)) | ( hAPP(c_List_Orotate1(_u16436), _u16438) = c_List_Olist_ONil(_u16436)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16439), _u16440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16441, tc_HOL_Obool)), hAPP(c_List_Oset(_u16441), hAPP(hAPP(c_List_Odrop(_u16441), _u16440), _u16442))), hAPP(c_List_Oset(_u16441), hAPP(hAPP(c_List_Odrop(_u16441), _u16439), _u16442)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16446), _u16448), _u16450) != c_List_Olist_ONil(_u16446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16446)), _u16450)), _u16448)) )).
% 12.17/12.42 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(_u16447)), _u16451)), _u16449)) | ( hAPP(hAPP(c_List_Odrop(_u16447), _u16449), _u16451) = c_List_Olist_ONil(_u16447)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 12.17/12.42 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(_u16452)), _u16453)), _u16454)) | ( hAPP(hAPP(c_List_Odrop(_u16452), _u16454), _u16453) = c_List_Olist_ONil(_u16452)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16455), _u16456), hAPP(hAPP(c_List_Oappend(_u16455), _u16457), _u16458)) = hAPP(hAPP(c_List_Oappend(_u16455), hAPP(hAPP(c_List_Odrop(_u16455), _u16456), _u16457)), hAPP(hAPP(c_List_Odrop(_u16455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16456), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16455)), _u16457))), _u16458))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16463), _u16465), _u16467) != _u16469) | ( _u16465 = hAPP(hAPP(c_List_Otake(_u16463), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16463)), _u16465)), _u16469)) )).
% 12.17/12.42 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16463), _u16465), _u16467) != _u16469) | ( _u16467 = hAPP(hAPP(c_List_Odrop(_u16463), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16463)), _u16465)), _u16469)) )).
% 12.17/12.42 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u16466 != hAPP(hAPP(c_List_Otake(_u16464), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16464)), _u16466)), _u16470)) | ( _u16468 != hAPP(hAPP(c_List_Odrop(_u16464), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16464)), _u16466)), _u16470)) | ( hAPP(hAPP(c_List_Oappend(_u16464), _u16466), _u16468) = _u16470) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16471), _u16472), hAPP(hAPP(c_List_Olist_OCons(_u16471), _u16473), _u16474)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16471), hAPP(hAPP(c_List_Olist_OCons(_u16471), _u16473), _u16474), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16471), tc_List_Olist(_u16471)), c_List_Odrop(_u16471)), _u16474), _u16472)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__Cons_H-1, axiom, ( ( _u16479 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16481), _u16479), hAPP(hAPP(c_List_Olist_OCons(_u16481), _u16483), _u16485)) = hAPP(hAPP(c_List_Olist_OCons(_u16481), _u16483), _u16485)) )).
% 12.17/12.42 cnf(fact_drop__Cons_H-2, axiom, ( ( _u16480 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16482), _u16480), hAPP(hAPP(c_List_Olist_OCons(_u16482), _u16484), _u16486)) = hAPP(hAPP(c_List_Odrop(_u16482), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16480), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16486)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 12.17/12.42 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), _u16487), _u16488)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16489)), _u16490))) | ( hAPP(hAPP(c_List_Onth(_u16489), hAPP(hAPP(c_List_Odrop(_u16489), _u16487), _u16490)), _u16488) = hAPP(hAPP(c_List_Onth(_u16489), _u16490), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16487), _u16488))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16496), _u16498), _u16500) != hAPP(hAPP(c_List_Oappend(_u16496), _u16502), _u16504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502))) | ( _u16498 = hAPP(hAPP(c_List_Otake(_u16496), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), _u16502)) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16496), _u16498), _u16500) != hAPP(hAPP(c_List_Oappend(_u16496), _u16502), _u16504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502))) | ( _u16500 = hAPP(hAPP(c_List_Oappend(_u16496), hAPP(hAPP(c_List_Odrop(_u16496), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), _u16502)), _u16504)) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16496), _u16498), _u16500) != hAPP(hAPP(c_List_Oappend(_u16496), _u16502), _u16504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502))) | ( hAPP(hAPP(c_List_Otake(_u16496), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502)), _u16498) = _u16502) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16496), _u16498), _u16500) != hAPP(hAPP(c_List_Oappend(_u16496), _u16502), _u16504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502))) | ( hAPP(hAPP(c_List_Oappend(_u16496), hAPP(hAPP(c_List_Odrop(_u16496), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502)), _u16498)), _u16500) = _u16504) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16497), _u16499), _u16501) = hAPP(hAPP(c_List_Oappend(_u16497), _u16503), _u16505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503))) | ( hAPP(hAPP(c_List_Otake(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503)), _u16499) != _u16503) | ( hAPP(hAPP(c_List_Oappend(_u16497), hAPP(hAPP(c_List_Odrop(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503)), _u16499)), _u16501) != _u16505) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16497), _u16499), _u16501) = hAPP(hAPP(c_List_Oappend(_u16497), _u16503), _u16505)) | ( _u16499 != hAPP(hAPP(c_List_Otake(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), _u16503)) | ( _u16501 != hAPP(hAPP(c_List_Oappend(_u16497), hAPP(hAPP(c_List_Odrop(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), _u16503)), _u16505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503))) )).
% 12.17/12.42 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16497), _u16499), _u16501) = hAPP(hAPP(c_List_Oappend(_u16497), _u16503), _u16505)) | ( _u16499 != hAPP(hAPP(c_List_Otake(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), _u16503)) | ( _u16501 != hAPP(hAPP(c_List_Oappend(_u16497), hAPP(hAPP(c_List_Odrop(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), _u16503)), _u16505)) | ( hAPP(hAPP(c_List_Otake(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503)), _u16499) != _u16503) | ( hAPP(hAPP(c_List_Oappend(_u16497), hAPP(hAPP(c_List_Odrop(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503)), _u16499)), _u16501) != _u16505) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16506), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16507)), _u16508))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16507), hAPP(hAPP(c_List_Onth(_u16507), _u16508), _u16506)), hAPP(hAPP(c_List_Odrop(_u16507), hAPP(c_Nat_OSuc, _u16506)), _u16508)) = hAPP(hAPP(c_List_Odrop(_u16507), _u16506), _u16508)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u16509), c_List_Olist_ONil(_u16509)) = c_List_Olist_ONil(_u16509)) )).
% 12.17/12.42 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u16510), hAPP(hAPP(c_List_Olist_OCons(_u16510), _u16511), _u16512)) = hAPP(hAPP(c_List_Oappend(_u16510), _u16512), hAPP(hAPP(c_List_Olist_OCons(_u16510), _u16511), c_List_Olist_ONil(_u16510)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16517) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16519), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16517)), hAPP(hAPP(c_List_Olist_OCons(_u16519), _u16521), _u16523)) = hAPP(hAPP(c_List_Olist_OCons(_u16519), _u16521), _u16523)) )).
% 12.17/12.42 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16518) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16520), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16518)), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), _u16524)) = hAPP(hAPP(c_List_Odrop(_u16520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16518)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16524)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__add ( axiom ) converted to clauses:
% 12.17/12.42 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), _u16525), _u16526)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16527)), _u16528))) | ( hAPP(hAPP(c_List_Otake(_u16527), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16525), _u16526)), _u16528) = hAPP(hAPP(c_List_Oappend(_u16527), hAPP(hAPP(c_List_Otake(_u16527), _u16525), _u16528)), hAPP(hAPP(c_List_Otake(_u16527), _u16526), hAPP(hAPP(c_List_Odrop(_u16527), _u16525), _u16528)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 12.17/12.42 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(_u16529)), _u16530)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16529), _u16530) = _u16530) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16531, _u16532), _u16533), hAPP(hAPP(c_List_Oappend(_u16532), _u16534), _u16535)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16531, _u16532)), hAPP(hAPP(c_List_Ozip(_u16531, _u16532), hAPP(hAPP(c_List_Otake(_u16531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16532)), _u16534)), _u16533)), _u16534)), hAPP(hAPP(c_List_Ozip(_u16531, _u16532), hAPP(hAPP(c_List_Odrop(_u16531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16532)), _u16534)), _u16533)), _u16535))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16536, _u16537), hAPP(hAPP(c_List_Oappend(_u16536), _u16538), _u16539)), _u16540) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16536, _u16537)), hAPP(hAPP(c_List_Ozip(_u16536, _u16537), _u16538), hAPP(hAPP(c_List_Otake(_u16537), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16536)), _u16538)), _u16540))), hAPP(hAPP(c_List_Ozip(_u16536, _u16537), _u16539), hAPP(hAPP(c_List_Odrop(_u16537), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16536)), _u16538)), _u16540)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16541), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16542)), _u16543))) | ( _u16543 = hAPP(hAPP(c_List_Oappend(_u16542), hAPP(hAPP(c_List_Otake(_u16542), _u16541), _u16543)), hAPP(hAPP(c_List_Olist_OCons(_u16542), hAPP(hAPP(c_List_Onth(_u16542), _u16543), _u16541)), hAPP(hAPP(c_List_Odrop(_u16542), hAPP(c_Nat_OSuc, _u16541)), _u16543)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16544), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16546))) | ( hAPP(hAPP(c_List_Oappend(_u16545), hAPP(hAPP(c_List_Otake(_u16545), _u16544), _u16546)), hAPP(hAPP(c_List_Olist_OCons(_u16545), hAPP(c_List_Ohd(_u16545), hAPP(hAPP(c_List_Odrop(_u16545), _u16544), _u16546))), c_List_Olist_ONil(_u16545))) = hAPP(hAPP(c_List_Otake(_u16545), hAPP(c_Nat_OSuc, _u16544)), _u16546)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u16547 = c_List_Olist_ONil(_u16548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16549), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16548)), _u16547))) | ( hAPP(c_List_Ohd(_u16548), hAPP(hAPP(c_List_Odrop(_u16548), _u16549), _u16547)) = hAPP(hAPP(c_List_Onth(_u16548), _u16547), _u16549)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u16550), hAPP(hAPP(c_List_Olist_OCons(_u16550), _u16551), _u16552)) = _u16551) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_hd__append2-1, axiom, ( ( _u16553 = c_List_Olist_ONil(_u16554)) | ( hAPP(c_List_Ohd(_u16554), hAPP(hAPP(c_List_Oappend(_u16554), _u16553), _u16555)) = hAPP(c_List_Ohd(_u16554), _u16553)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_hd__append-1, axiom, ( ( _u16559 != c_List_Olist_ONil(_u16561)) | ( hAPP(c_List_Ohd(_u16561), hAPP(hAPP(c_List_Oappend(_u16561), _u16559), _u16563)) = hAPP(c_List_Ohd(_u16561), _u16563)) )).
% 12.17/12.42 cnf(fact_hd__append-2, axiom, ( ( _u16560 = c_List_Olist_ONil(_u16562)) | ( hAPP(c_List_Ohd(_u16562), hAPP(hAPP(c_List_Oappend(_u16562), _u16560), _u16564)) = hAPP(c_List_Ohd(_u16562), _u16560)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_hd__in__set-1, axiom, ( ( _u16565 = c_List_Olist_ONil(_u16566)) | hBOOL(hAPP(hAPP(c_member(_u16566), hAPP(c_List_Ohd(_u16566), _u16565)), hAPP(c_List_Oset(_u16566), _u16565))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_hd__conv__nth-1, axiom, ( ( _u16567 = c_List_Olist_ONil(_u16568)) | ( hAPP(c_List_Ohd(_u16568), _u16567) = hAPP(hAPP(c_List_Onth(_u16568), _u16567), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u16569 = c_List_Olist_ONil(_u16570)) | ( hAPP(c_List_Orotate1(_u16570), _u16569) = hAPP(hAPP(c_List_Oappend(_u16570), hAPP(c_List_Otl(_u16570), _u16569)), hAPP(hAPP(c_List_Olist_OCons(_u16570), hAPP(c_List_Ohd(_u16570), _u16569)), c_List_Olist_ONil(_u16570)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u16571 = c_List_Olist_ONil(_u16572)) | ( hAPP(c_List_Ohd(_u16572), hAPP(c_List_Orotate(_u16572, _u16573), _u16571)) = hAPP(hAPP(c_List_Onth(_u16572), _u16571), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16573, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16572)), _u16571)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16574), _u16575), hAPP(c_List_Otl(_u16574), _u16576)) = hAPP(c_List_Otl(_u16574), hAPP(hAPP(c_List_Odrop(_u16574), _u16575), _u16576))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u16577), hAPP(hAPP(c_List_Odrop(_u16577), _u16578), _u16579)) = hAPP(hAPP(c_List_Odrop(_u16577), _u16578), hAPP(c_List_Otl(_u16577), _u16579))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u16580), hAPP(hAPP(c_List_Olist_OCons(_u16580), _u16581), _u16582)) = _u16582) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16583), _u16584)) | hBOOL(hAPP(c_List_Odistinct(_u16583), hAPP(c_List_Otl(_u16583), _u16584))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16588), hAPP(c_List_Orotate(_u16588, _u16590), _u16592))) | hBOOL(hAPP(c_List_Odistinct(_u16588), _u16592)) )).
% 12.17/12.42 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16589), _u16593)) | hBOOL(hAPP(c_List_Odistinct(_u16589), hAPP(c_List_Orotate(_u16589, _u16591), _u16593))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u16594, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16595), _u16596)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16594), tc_List_Olist(_u16594), tc_List_Olist(_u16594), c_List_Orotate(_u16594, _u16595)), c_List_Orotate(_u16594, _u16596))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u16597, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16597))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u16598, _u16599), hAPP(c_List_Orotate(_u16598, _u16600), _u16601)) = hAPP(c_List_Orotate(_u16598, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16599), _u16600)), _u16601)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16602)), hAPP(c_List_Orotate(_u16602, _u16603), _u16604)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16602)), _u16604)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u16605), hAPP(c_List_Orotate(_u16605, _u16606), _u16607)) = hAPP(c_List_Oset(_u16605), _u16607)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u16608), c_List_Olist_ONil(_u16608)) = c_List_Olist_ONil(_u16608)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u16612, _u16614), _u16616) != c_List_Olist_ONil(_u16612)) | ( _u16616 = c_List_Olist_ONil(_u16612)) )).
% 12.17/12.42 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u16617 != c_List_Olist_ONil(_u16613)) | ( hAPP(c_List_Orotate(_u16613, _u16615), _u16617) = c_List_Olist_ONil(_u16613)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u16618), hAPP(c_List_Orotate(_u16618, _u16619), _u16620)) = hAPP(c_List_Orotate(_u16618, _u16619), hAPP(c_List_Orotate1(_u16618), _u16620))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u16621, _u16622) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), _u16622), c_List_Orotate1(_u16621))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_tl__append2-1, axiom, ( ( _u16623 = c_List_Olist_ONil(_u16624)) | ( hAPP(c_List_Otl(_u16624), hAPP(hAPP(c_List_Oappend(_u16624), _u16623), _u16625)) = hAPP(hAPP(c_List_Oappend(_u16624), hAPP(c_List_Otl(_u16624), _u16623)), _u16625)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16626), _u16627), hAPP(c_List_Otl(_u16626), _u16628)) = hAPP(c_List_Otl(_u16626), hAPP(hAPP(c_List_Otake(_u16626), hAPP(c_Nat_OSuc, _u16627)), _u16628))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u16629, _u16630), _u16631) = hAPP(c_List_Orotate(_u16629, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16630, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16629)), _u16631))), _u16631)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16632), hAPP(c_Nat_OSuc, _u16633)), _u16634) = hAPP(hAPP(c_List_Odrop(_u16632), _u16633), hAPP(c_List_Otl(_u16632), _u16634))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u16635, hAPP(c_Nat_OSuc, _u16636)), _u16637) = hAPP(c_List_Orotate1(_u16635), hAPP(c_List_Orotate(_u16635, _u16636), _u16637))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u16638), hAPP(hAPP(c_List_Oappend(_u16638), _u16639), _u16640)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16638), _u16638, hAPP(c_List_Otl(_u16638), _u16640), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16638), tc_List_Olist(_u16638)), _u16638), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16638), tc_List_Olist(_u16638), tc_List_Olist(_u16638)), c_List_Oappend(_u16638)), _u16640))), _u16639)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16641, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16642)), _u16643)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16642, _u16641), _u16643) = _u16643) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 12.17/12.42 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(_u16644)), _u16645)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16644, _u16646), _u16645) = _u16645) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16647)), hAPP(c_List_Otl(_u16647), _u16648)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16647)), _u16648)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u16649), hAPP(hAPP(c_List_Otake(_u16649), _u16650), _u16651)) = hAPP(hAPP(c_List_Otake(_u16649), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16650), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16649), _u16651))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__Suc-1, axiom, ( ( _u16652 = c_List_Olist_ONil(_u16653)) | ( hAPP(hAPP(c_List_Otake(_u16653), hAPP(c_Nat_OSuc, _u16654)), _u16652) = hAPP(hAPP(c_List_Olist_OCons(_u16653), hAPP(c_List_Ohd(_u16653), _u16652)), hAPP(hAPP(c_List_Otake(_u16653), _u16654), hAPP(c_List_Otl(_u16653), _u16652)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u16655, _u16656), _u16657) = hAPP(hAPP(c_List_Oappend(_u16655), hAPP(hAPP(c_List_Odrop(_u16655), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16656, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16655)), _u16657))), _u16657)), hAPP(hAPP(c_List_Otake(_u16655), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16656, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16655)), _u16657))), _u16657))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16658) | ( _u16659 = c_List_Olist_ONil(_u16658)) | ( hAPP(c_Finite__Set_Ofold1(_u16658, c_Groups_Otimes__class_Otimes(_u16658)), hAPP(c_List_Oset(_u16658), _u16659)) = hAPP(c_List_Ofoldl(_u16658, _u16658, c_Groups_Otimes__class_Otimes(_u16658), hAPP(c_List_Ohd(_u16658), _u16659)), hAPP(c_List_Otl(_u16658), _u16659))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u16662 != hAPP(hAPP(c_List_Olist_OCons(_u16663), _u16661), _u16660)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16663), tc_List_Olist(_u16663))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16663), tc_List_Olist(_u16663)), _u16664), hAPP(hAPP(c_List_Oappend(_u16663), _u16664), _u16662))), c_List_Olexord(_u16663, _u16665))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16666, _u16667, _u16668, _u16669), c_List_Olist_ONil(_u16667)) = _u16669) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16670), _u16671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16670), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16671), _u16672))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u16673) | ( hAPP(c_List_Ofoldl(_u16673, _u16673, c_Groups_Oplus__class_Oplus(_u16673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16673), _u16674), _u16675)), _u16676) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16673), _u16674), hAPP(c_List_Ofoldl(_u16673, _u16673, c_Groups_Oplus__class_Oplus(_u16673), _u16675), _u16676))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u16677) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16677), _u16678), hAPP(c_List_Ofoldl(_u16677, _u16677, c_Groups_Oplus__class_Oplus(_u16677), c_Groups_Ozero__class_Ozero(_u16677)), _u16679)) = hAPP(c_List_Ofoldl(_u16677, _u16677, c_Groups_Oplus__class_Oplus(_u16677), _u16678), _u16679)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16680, _u16681, _u16682, _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16681), _u16684), _u16685)) = hAPP(c_List_Ofoldl(_u16680, _u16681, _u16682, hAPP(hAPP(_u16682, _u16683), _u16684)), _u16685)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16686, _u16687, _u16688, _u16689), hAPP(hAPP(c_List_Oappend(_u16687), _u16690), _u16691)) = hAPP(c_List_Ofoldl(_u16686, _u16687, _u16688, hAPP(c_List_Ofoldl(_u16686, _u16687, _u16688, _u16689), _u16690)), _u16691)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u16692) | ( c_List_Omonoid__add__class_Olistsum(_u16692) = c_List_Ofoldl(_u16692, _u16692, c_Groups_Oplus__class_Oplus(_u16692), c_Groups_Ozero__class_Ozero(_u16692))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 12.17/12.42 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), _u16697), _u16699) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16697 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42 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), _u16697), _u16699) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16693), hAPP(c_List_Oset(tc_Nat_Onat), _u16699))) | ( _u16693 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42 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), _u16698), _u16700) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16698 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem427(_u16700, _u16698)), hAPP(c_List_Oset(tc_Nat_Onat), _u16700))) )).
% 12.17/12.42 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), _u16698), _u16700) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16698 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem427(_u16700, _u16698) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16701, _u16702, _u16703) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16701, _u16702, _u16703), _u16704), hAPP(c_List_Oset(_u16701), _u16705)) = hAPP(c_List_Ofoldl(_u16702, _u16701, hAPP(c_COMBC(_u16701, _u16702, _u16702), _u16703), _u16704), _u16705)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16706) | ( c_Complete__Lattice_OSup__class_OSup(_u16706, hAPP(c_List_Oset(_u16706), _u16707)) = hAPP(c_List_Ofoldl(_u16706, _u16706, c_Lattices_Osemilattice__sup__class_Osup(_u16706), c_Orderings_Obot__class_Obot(_u16706)), _u16707)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16708) | ( c_Complete__Lattice_OInf__class_OInf(_u16708, hAPP(c_List_Oset(_u16708), _u16709)) = hAPP(c_List_Ofoldl(_u16708, _u16708, c_Lattices_Osemilattice__inf__class_Oinf(_u16708), c_Orderings_Otop__class_Otop(_u16708)), _u16709)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u16710) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16710, hAPP(c_List_Oset(_u16710), hAPP(hAPP(c_List_Olist_OCons(_u16710), _u16711), _u16712))) = hAPP(c_List_Ofoldl(_u16710, _u16710, c_Lattices_Osemilattice__sup__class_Osup(_u16710), _u16711), _u16712)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u16713) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16713, hAPP(c_List_Oset(_u16713), hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16714), _u16715))) = hAPP(c_List_Ofoldl(_u16713, _u16713, c_Lattices_Osemilattice__inf__class_Oinf(_u16713), _u16714), _u16715)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16716) | ( c_Big__Operators_Olinorder__class_OMin(_u16716, hAPP(c_List_Oset(_u16716), hAPP(hAPP(c_List_Olist_OCons(_u16716), _u16717), _u16718))) = hAPP(c_List_Ofoldl(_u16716, _u16716, c_Orderings_Oord__class_Omin(_u16716), _u16717), _u16718)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16719) | ( c_Big__Operators_Olinorder__class_OMax(_u16719, hAPP(c_List_Oset(_u16719), hAPP(hAPP(c_List_Olist_OCons(_u16719), _u16720), _u16721))) = hAPP(c_List_Ofoldl(_u16719, _u16719, c_Orderings_Oord__class_Omax(_u16719), _u16720), _u16721)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16722) | ( c_Big__Operators_Olattice_OInf__fin(_u16722, c_Orderings_Oord__class_Omin(_u16722), hAPP(c_List_Oset(_u16722), hAPP(hAPP(c_List_Olist_OCons(_u16722), _u16723), _u16724))) = hAPP(c_List_Ofoldl(_u16722, _u16722, c_Orderings_Oord__class_Omin(_u16722), _u16723), _u16724)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16725) | ( c_Big__Operators_Olattice_OSup__fin(_u16725, c_Orderings_Oord__class_Omax(_u16725), hAPP(c_List_Oset(_u16725), hAPP(hAPP(c_List_Olist_OCons(_u16725), _u16726), _u16727))) = hAPP(c_List_Ofoldl(_u16725, _u16725, c_Orderings_Oord__class_Omax(_u16725), _u16726), _u16727)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16728) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16729, _u16728), hAPP(c_List_Oset(_u16729), _u16730)), _u16731) = hAPP(c_List_Ofoldl(_u16728, _u16729, hAPP(c_COMBC(_u16729, _u16728, _u16728), hAPP(hAPP(c_COMBB(_u16728, tc_fun(_u16728, _u16728), _u16729), c_Lattices_Osemilattice__sup__class_Osup(_u16728)), _u16731)), c_Orderings_Obot__class_Obot(_u16728)), _u16730)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16732) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16733, _u16732), hAPP(c_List_Oset(_u16733), _u16734)), _u16735) = hAPP(c_List_Ofoldl(_u16732, _u16733, hAPP(c_COMBC(_u16733, _u16732, _u16732), hAPP(hAPP(c_COMBB(_u16732, tc_fun(_u16732, _u16732), _u16733), c_Lattices_Osemilattice__inf__class_Oinf(_u16732)), _u16735)), c_Orderings_Otop__class_Otop(_u16732)), _u16734)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16736), hAPP(c_List_Oset(tc_Nat_Onat), _u16737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16736), 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)), _u16737))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16738) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16738), _u16739)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16738, hAPP(hAPP(c_Set_Oinsert(_u16738), _u16740), _u16739)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16738, _u16738, c_COMBI(_u16738)), _u16740), c_List_Olinorder__class_Osorted__list__of__set(_u16738, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16738, tc_HOL_Obool)), _u16739), hAPP(hAPP(c_Set_Oinsert(_u16738), _u16740), c_Orderings_Obot__class_Obot(tc_fun(_u16738, tc_HOL_Obool))))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16748), tc_List_Olist(_u16748))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16748), tc_List_Olist(_u16748)), c_List_Olist_ONil(_u16748)), _u16750)), c_List_Olexord(_u16748, _u16752))) | ( _u16750 = hAPP(hAPP(c_List_Olist_OCons(_u16748), skolem428(_u16752, _u16750, _u16748)), skolem429(_u16752, _u16750, _u16748))) )).
% 12.17/12.42 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u16751 != hAPP(hAPP(c_List_Olist_OCons(_u16749), _u16744), _u16743)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16749), tc_List_Olist(_u16749))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16749), tc_List_Olist(_u16749)), c_List_Olist_ONil(_u16749)), _u16751)), c_List_Olexord(_u16749, _u16753))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u16754) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16755, _u16754, _u16756), _u16757), c_List_Olist_ONil(_u16755)) = hAPP(hAPP(c_List_Olist_OCons(_u16755), _u16757), c_List_Olist_ONil(_u16755))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u16758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16758), hAPP(_u16759, _u16760)), hAPP(_u16759, _u16761))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16762, _u16758, _u16759), _u16760), hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16761), _u16763)) = hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16760), hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16761), _u16763))) )).
% 12.17/12.42 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u16758) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16758), hAPP(_u16759, _u16760)), hAPP(_u16759, _u16761))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16762, _u16758, _u16759), _u16760), hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16761), _u16763)) = hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16761), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16762, _u16758, _u16759), _u16760), _u16763))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16764) | ( hAPP(c_List_Oset(_u16765), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16765, _u16764, _u16766), _u16767), _u16768)) = hAPP(hAPP(c_Set_Oinsert(_u16765), _u16767), hAPP(c_List_Oset(_u16765), _u16768))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16769) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16770)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16770, _u16769, _u16771), _u16772), _u16773)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16770)), _u16773))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16774) | c_Finite__Set_Ofun__left__comm(_u16774, tc_List_Olist(_u16774), c_List_Olinorder__class_Oinsort__key(_u16774, _u16774, c_COMBI(_u16774))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16775) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16775, _u16775, c_COMBI(_u16775)), _u16776), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16775, _u16775, c_COMBI(_u16775)), _u16777), _u16778)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16775, _u16775, c_COMBI(_u16775)), _u16777), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16775, _u16775, c_COMBI(_u16775)), _u16776), _u16778))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16779) | ( hAPP(_u16780, _u16781) = hAPP(_u16780, _u16782)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16783, _u16779, _u16780), _u16782), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16783, _u16779, _u16780), _u16781), _u16784)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16783, _u16779, _u16780), _u16781), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16783, _u16779, _u16780), _u16782), _u16784))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16785) | ( c_List_Oremove1(_u16785, _u16786, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16785, _u16785, c_COMBI(_u16785)), _u16786), _u16787)) = _u16787) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u16788) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16789, _u16788, _u16790), _u16791), _u16792) != c_List_Olist_ONil(_u16789)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16793) | ~hBOOL(hAPP(c_List_Odistinct(_u16794), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16794, _u16793, _u16795), _u16796), _u16797))) | ~hBOOL(hAPP(hAPP(c_member(_u16794), _u16796), hAPP(c_List_Oset(_u16794), _u16797))) )).
% 12.17/12.42 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u16793) | ~hBOOL(hAPP(c_List_Odistinct(_u16794), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16794, _u16793, _u16795), _u16796), _u16797))) | hBOOL(hAPP(c_List_Odistinct(_u16794), _u16797)) )).
% 12.17/12.42 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u16793) | hBOOL(hAPP(hAPP(c_member(_u16794), _u16796), hAPP(c_List_Oset(_u16794), _u16797))) | ~hBOOL(hAPP(c_List_Odistinct(_u16794), _u16797)) | hBOOL(hAPP(c_List_Odistinct(_u16794), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16794, _u16793, _u16795), _u16796), _u16797))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u16798) | hBOOL(hAPP(hAPP(c_member(_u16798), hAPP(_u16799, _u16800)), hAPP(c_Set_Oimage(_u16801, _u16798, _u16799), hAPP(c_List_Oset(_u16801), _u16802)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16801, _u16798, _u16799, _u16800, _u16802) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16801, _u16798, _u16799), _u16800), _u16802)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16803) | hBOOL(hAPP(hAPP(c_member(_u16803), _u16804), hAPP(c_List_Oset(_u16803), _u16805))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16803, _u16803, c_COMBI(_u16803), _u16804, _u16805) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16803, _u16803, c_COMBI(_u16803)), _u16804), _u16805)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16806) | ~hBOOL(hAPP(c_List_Odistinct(_u16807), _u16808)) | hBOOL(hAPP(c_List_Odistinct(_u16807), c_List_Olinorder__class_Oinsort__insert__key(_u16807, _u16806, _u16809, _u16810, _u16808))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16811) | ~hBOOL(hAPP(hAPP(c_member(_u16811), _u16812), hAPP(c_List_Oset(_u16811), _u16813))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16811, _u16811, c_COMBI(_u16811), _u16812, _u16813) = _u16813) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16814) | ( hAPP(c_List_Oset(_u16814), c_List_Olinorder__class_Oinsort__insert__key(_u16814, _u16814, c_COMBI(_u16814), _u16815, _u16816)) = hAPP(hAPP(c_Set_Oinsert(_u16814), _u16815), hAPP(c_List_Oset(_u16814), _u16816))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16817) | ~hBOOL(hAPP(hAPP(c_member(_u16817), hAPP(_u16818, _u16819)), hAPP(c_Set_Oimage(_u16820, _u16817, _u16818), hAPP(c_List_Oset(_u16820), _u16821)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16820, _u16817, _u16818, _u16819, _u16821) = _u16821) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__list__update-1, axiom, ( ( _u16822 = c_List_Olist_ONil(_u16823)) | ( _u16824 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16823)), _u16822)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16823, hAPP(hAPP(c_List_Olist__update(_u16823, _u16822), _u16824), _u16825)) = _u16825) )).
% 12.17/12.42 cnf(fact_last__list__update-2, axiom, ( ( _u16822 = c_List_Olist_ONil(_u16823)) | ( _u16824 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16823)), _u16822)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16823, hAPP(hAPP(c_List_Olist__update(_u16823, _u16822), _u16824), _u16825)) = c_List_Olast(_u16823, _u16822)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__conv__nth-1, axiom, ( ( _u16826 = c_List_Olist_ONil(_u16827)) | ( c_List_Olast(_u16827, _u16826) = hAPP(hAPP(c_List_Onth(_u16827), _u16826), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16827)), _u16826)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last_Osimps-1, axiom, ( ( _u16831 != c_List_Olist_ONil(_u16833)) | ( c_List_Olast(_u16833, hAPP(hAPP(c_List_Olist_OCons(_u16833), _u16835), _u16831)) = _u16835) )).
% 12.17/12.42 cnf(fact_last_Osimps-2, axiom, ( ( _u16832 = c_List_Olist_ONil(_u16834)) | ( c_List_Olast(_u16834, hAPP(hAPP(c_List_Olist_OCons(_u16834), _u16836), _u16832)) = c_List_Olast(_u16834, _u16832)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__ConsR-1, axiom, ( ( _u16837 = c_List_Olist_ONil(_u16838)) | ( c_List_Olast(_u16838, hAPP(hAPP(c_List_Olist_OCons(_u16838), _u16839), _u16837)) = c_List_Olast(_u16838, _u16837)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__ConsL-1, axiom, ( ( _u16840 != c_List_Olist_ONil(_u16841)) | ( c_List_Olast(_u16841, hAPP(hAPP(c_List_Olist_OCons(_u16841), _u16842), _u16840)) = _u16842) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__append-1, axiom, ( ( _u16846 != c_List_Olist_ONil(_u16848)) | ( c_List_Olast(_u16848, hAPP(hAPP(c_List_Oappend(_u16848), _u16850), _u16846)) = c_List_Olast(_u16848, _u16850)) )).
% 12.17/12.42 cnf(fact_last__append-2, axiom, ( ( _u16847 = c_List_Olist_ONil(_u16849)) | ( c_List_Olast(_u16849, hAPP(hAPP(c_List_Oappend(_u16849), _u16851), _u16847)) = c_List_Olast(_u16849, _u16847)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__appendR-1, axiom, ( ( _u16852 = c_List_Olist_ONil(_u16853)) | ( c_List_Olast(_u16853, hAPP(hAPP(c_List_Oappend(_u16853), _u16854), _u16852)) = c_List_Olast(_u16853, _u16852)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__appendL-1, axiom, ( ( _u16855 != c_List_Olist_ONil(_u16856)) | ( c_List_Olast(_u16856, hAPP(hAPP(c_List_Oappend(_u16856), _u16857), _u16855)) = c_List_Olast(_u16856, _u16857)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__in__set-1, axiom, ( ( _u16858 = c_List_Olist_ONil(_u16859)) | hBOOL(hAPP(hAPP(c_member(_u16859), c_List_Olast(_u16859, _u16858)), hAPP(c_List_Oset(_u16859), _u16858))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u16860, hAPP(hAPP(c_List_Oappend(_u16860), _u16861), hAPP(hAPP(c_List_Olist_OCons(_u16860), _u16862), c_List_Olist_ONil(_u16860)))) = _u16862) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16863), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16864)), _u16865))) | ( c_List_Olast(_u16864, hAPP(hAPP(c_List_Odrop(_u16864), _u16863), _u16865)) = c_List_Olast(_u16864, _u16865)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u16866 = c_List_Olist_ONil(_u16867)) | ( hAPP(hAPP(c_List_Oappend(_u16867), c_List_Obutlast(_u16867, _u16866)), hAPP(hAPP(c_List_Olist_OCons(_u16867), c_List_Olast(_u16867, _u16866)), c_List_Olist_ONil(_u16867))) = _u16866) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16872), _u16874), hAPP(hAPP(c_List_Olist_OCons(_u16872), _u16876), c_List_Olist_ONil(_u16872))) != _u16878) | ( _u16878 != c_List_Olist_ONil(_u16872)) )).
% 12.17/12.42 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16872), _u16874), hAPP(hAPP(c_List_Olist_OCons(_u16872), _u16876), c_List_Olist_ONil(_u16872))) != _u16878) | ( c_List_Obutlast(_u16872, _u16878) = _u16874) )).
% 12.17/12.42 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16872), _u16874), hAPP(hAPP(c_List_Olist_OCons(_u16872), _u16876), c_List_Olist_ONil(_u16872))) != _u16878) | ( c_List_Olast(_u16872, _u16878) = _u16876) )).
% 12.17/12.42 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u16879 = c_List_Olist_ONil(_u16873)) | ( c_List_Obutlast(_u16873, _u16879) != _u16875) | ( c_List_Olast(_u16873, _u16879) != _u16877) | ( hAPP(hAPP(c_List_Oappend(_u16873), _u16875), hAPP(hAPP(c_List_Olist_OCons(_u16873), _u16877), c_List_Olist_ONil(_u16873))) = _u16879) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16887)), _u16889), c_List_Olists(_u16887, _u16891))) | ( _u16889 = c_List_Olist_ONil(_u16887)) | hBOOL(hAPP(hAPP(c_member(_u16887), skolem430(_u16891, _u16889, _u16887)), _u16891)) )).
% 12.17/12.42 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16887)), _u16889), c_List_Olists(_u16887, _u16891))) | ( _u16889 = c_List_Olist_ONil(_u16887)) | ( _u16889 = hAPP(hAPP(c_List_Olist_OCons(_u16887), skolem430(_u16891, _u16889, _u16887)), skolem431(_u16891, _u16889, _u16887))) )).
% 12.17/12.42 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16887)), _u16889), c_List_Olists(_u16887, _u16891))) | ( _u16889 = c_List_Olist_ONil(_u16887)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16887)), skolem431(_u16891, _u16889, _u16887)), c_List_Olists(_u16887, _u16891))) )).
% 12.17/12.42 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16888)), _u16890), c_List_Olists(_u16888, _u16892))) | ( _u16890 != c_List_Olist_ONil(_u16888)) )).
% 12.17/12.42 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16888)), _u16890), c_List_Olists(_u16888, _u16892))) | ~hBOOL(hAPP(hAPP(c_member(_u16888), _u16883), _u16892)) | ( _u16890 != hAPP(hAPP(c_List_Olist_OCons(_u16888), _u16883), _u16882)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16888)), _u16882), c_List_Olists(_u16888, _u16892))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_select__weigth__select-1, axiom, ( ( _u16893 = c_List_Olist_ONil(_u16894)) | ( c_Random_Oselect__weight(_u16894, hAPP(hAPP(c_List_Omap(_u16894, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16894)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16894), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16893)) = c_Random_Oselect(_u16894, _u16893)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u16895, _u16896, _u16897, c_Orderings_Otop__class_Otop(tc_fun(_u16895, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16895), tc_List_Olist(_u16896), hAPP(c_List_Omap(_u16895, _u16896), _u16897), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16895), tc_HOL_Obool))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_last__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_last__map-1, axiom, ( ( _u16898 = c_List_Olist_ONil(_u16899)) | ( c_List_Olast(_u16900, hAPP(hAPP(c_List_Omap(_u16899, _u16900), _u16901), _u16898)) = hAPP(_u16901, c_List_Olast(_u16899, _u16898))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16902, _u16903, _u16904, _u16905), hAPP(hAPP(c_List_Omap(_u16906, _u16903), _u16907), _u16908)) = hAPP(c_List_Ofoldl(_u16902, _u16906, hAPP(hAPP(c_COMBC(_u16902, tc_fun(_u16906, _u16903), tc_fun(_u16906, _u16902)), hAPP(hAPP(c_COMBB(tc_fun(_u16903, _u16902), tc_fun(tc_fun(_u16906, _u16903), tc_fun(_u16906, _u16902)), _u16902), c_COMBB(_u16903, _u16902, _u16906)), _u16904)), _u16907), _u16905), _u16908)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u16909, _u16910), hAPP(hAPP(c_List_Omap(_u16911, _u16909), _u16912), _u16913)) = hAPP(hAPP(c_List_Omap(_u16911, _u16909), _u16912), hAPP(c_List_Orotate(_u16911, _u16910), _u16913))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16914, _u16915), _u16916), hAPP(c_List_Otl(_u16914), _u16917)) = hAPP(c_List_Otl(_u16915), hAPP(hAPP(c_List_Omap(_u16914, _u16915), _u16916), _u16917))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16918, _u16919), _u16920), hAPP(hAPP(c_List_Omap(_u16921, _u16919), _u16922), _u16923)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16918, _u16921), tc_prod(_u16918, _u16919)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16918, _u16921, tc_prod(_u16918, _u16919)), hAPP(hAPP(c_COMBC(_u16918, tc_fun(_u16921, _u16919), tc_fun(_u16921, tc_prod(_u16918, _u16919))), hAPP(hAPP(c_COMBB(tc_fun(_u16919, tc_prod(_u16918, _u16919)), tc_fun(tc_fun(_u16921, _u16919), tc_fun(_u16921, tc_prod(_u16918, _u16919))), _u16918), c_COMBB(_u16919, tc_prod(_u16918, _u16919), _u16921)), c_Product__Type_OPair(_u16918, _u16919))), _u16922))), hAPP(hAPP(c_List_Ozip(_u16918, _u16921), _u16920), _u16923))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16924, _u16925), _u16926), _u16927), hAPP(hAPP(c_List_Ozip(_u16924, _u16925), _u16928), hAPP(hAPP(c_List_Omap(_u16929, _u16925), _u16930), _u16931))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16924, _u16929), _u16926), hAPP(c_Product__Type_Oprod_Oprod__case(_u16924, _u16929, _u16926), hAPP(hAPP(c_COMBB(tc_fun(_u16929, tc_prod(_u16924, _u16925)), tc_fun(_u16929, _u16926), _u16924), hAPP(c_COMBB(tc_prod(_u16924, _u16925), _u16926, _u16929), _u16927)), hAPP(hAPP(c_COMBC(_u16924, tc_fun(_u16929, _u16925), tc_fun(_u16929, tc_prod(_u16924, _u16925))), hAPP(hAPP(c_COMBB(tc_fun(_u16925, tc_prod(_u16924, _u16925)), tc_fun(tc_fun(_u16929, _u16925), tc_fun(_u16929, tc_prod(_u16924, _u16925))), _u16924), c_COMBB(_u16925, tc_prod(_u16924, _u16925), _u16929)), c_Product__Type_OPair(_u16924, _u16925))), _u16930)))), hAPP(hAPP(c_List_Ozip(_u16924, _u16929), _u16928), _u16931))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16932, _u16933), _u16934), _u16935), hAPP(hAPP(c_List_Ozip(_u16932, _u16933), hAPP(hAPP(c_List_Omap(_u16936, _u16932), _u16937), _u16938)), _u16939)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16936, _u16933), _u16934), hAPP(c_Product__Type_Oprod_Oprod__case(_u16936, _u16933, _u16934), hAPP(hAPP(c_COMBB(tc_fun(_u16933, tc_prod(_u16932, _u16933)), tc_fun(_u16933, _u16934), _u16936), hAPP(c_COMBB(tc_prod(_u16932, _u16933), _u16934, _u16933), _u16935)), hAPP(hAPP(c_COMBB(_u16932, tc_fun(_u16933, tc_prod(_u16932, _u16933)), _u16936), c_Product__Type_OPair(_u16932, _u16933)), _u16937)))), hAPP(hAPP(c_List_Ozip(_u16936, _u16933), _u16938), _u16939))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16940, _u16941), hAPP(hAPP(c_List_Omap(_u16942, _u16940), _u16943), _u16944)), _u16945) = hAPP(hAPP(c_List_Omap(tc_prod(_u16942, _u16941), tc_prod(_u16940, _u16941)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16942, _u16941, tc_prod(_u16940, _u16941)), hAPP(hAPP(c_COMBB(_u16940, tc_fun(_u16941, tc_prod(_u16940, _u16941)), _u16942), c_Product__Type_OPair(_u16940, _u16941)), _u16943))), hAPP(hAPP(c_List_Ozip(_u16942, _u16941), _u16944), _u16945))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16946, _u16947), hAPP(hAPP(c_List_Omap(_u16948, _u16946), _u16949), _u16950)), hAPP(hAPP(c_List_Omap(_u16951, _u16947), _u16952), _u16953)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16948, _u16951), tc_prod(_u16946, _u16947)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16948, _u16951, tc_prod(_u16946, _u16947)), hAPP(hAPP(c_COMBC(_u16948, tc_fun(_u16951, _u16947), tc_fun(_u16951, tc_prod(_u16946, _u16947))), hAPP(hAPP(c_COMBB(tc_fun(_u16947, tc_prod(_u16946, _u16947)), tc_fun(tc_fun(_u16951, _u16947), tc_fun(_u16951, tc_prod(_u16946, _u16947))), _u16948), c_COMBB(_u16947, tc_prod(_u16946, _u16947), _u16951)), hAPP(hAPP(c_COMBB(_u16946, tc_fun(_u16947, tc_prod(_u16946, _u16947)), _u16948), c_Product__Type_OPair(_u16946, _u16947)), _u16949))), _u16952))), hAPP(hAPP(c_List_Ozip(_u16948, _u16951), _u16950), _u16953))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16954, _u16954), _u16955), _u16955) = hAPP(hAPP(c_List_Omap(_u16954, tc_prod(_u16954, _u16954)), hAPP(hAPP(c_COMBS(_u16954, _u16954, tc_prod(_u16954, _u16954)), c_Product__Type_OPair(_u16954, _u16954)), c_COMBI(_u16954))), _u16955)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16960, _u16962), _u16964), _u16966) != c_List_Olist_ONil(_u16962)) | ( _u16966 = c_List_Olist_ONil(_u16960)) )).
% 12.17/12.42 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u16967 != c_List_Olist_ONil(_u16961)) | ( hAPP(hAPP(c_List_Omap(_u16961, _u16963), _u16965), _u16967) = c_List_Olist_ONil(_u16963)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16968, _u16969), _u16970), c_List_Olist_ONil(_u16968)) = c_List_Olist_ONil(_u16969)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u16981 = c_List_Olist_ONil(_u16977)) | ( c_List_Olist_ONil(_u16975) != hAPP(hAPP(c_List_Omap(_u16977, _u16975), _u16979), _u16981)) )).
% 12.17/12.42 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u16982 != c_List_Olist_ONil(_u16978)) | ( c_List_Olist_ONil(_u16976) = hAPP(hAPP(c_List_Omap(_u16978, _u16976), _u16980), _u16982)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__update ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16983, _u16984), _u16985), hAPP(hAPP(c_List_Olist__update(_u16983, _u16986), _u16987), _u16988)) = hAPP(hAPP(c_List_Olist__update(_u16984, hAPP(hAPP(c_List_Omap(_u16983, _u16984), _u16985), _u16986)), _u16987), hAPP(_u16985, _u16988))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16996, _u16998), _u17000), _u17002) != hAPP(hAPP(c_List_Omap(_u16996, _u16998), _u17004), _u17002)) | ~hBOOL(hAPP(hAPP(c_member(_u16996), _u16989), hAPP(c_List_Oset(_u16996), _u17002))) | ( hAPP(_u17000, _u16989) = hAPP(_u17004, _u16989)) )).
% 12.17/12.42 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16997, _u16999), _u17001), _u17003) = hAPP(hAPP(c_List_Omap(_u16997, _u16999), _u17005), _u17003)) | hBOOL(hAPP(hAPP(c_member(_u16997), skolem432(_u17005, _u17003, _u17001, _u16999, _u16997)), hAPP(c_List_Oset(_u16997), _u17003))) )).
% 12.17/12.42 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16997, _u16999), _u17001), _u17003) = hAPP(hAPP(c_List_Omap(_u16997, _u16999), _u17005), _u17003)) | ( hAPP(_u17001, skolem432(_u17005, _u17003, _u17001, _u16999, _u16997)) != hAPP(_u17005, skolem432(_u17005, _u17003, _u17001, _u16999, _u16997))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17006, _u17007), _u17008), _u17009) != hAPP(hAPP(c_List_Omap(_u17010, _u17007), _u17011), _u17012)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17006)), _u17009) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17010)), _u17012)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17013)), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17015), _u17016)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17014)), _u17016)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17017) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17017), hAPP(hAPP(c_List_Omap(_u17018, _u17017), hAPP(hAPP(c_COMBS(_u17018, _u17017, _u17017), hAPP(hAPP(c_COMBB(_u17017, tc_fun(_u17017, _u17017), _u17018), c_Groups_Oplus__class_Oplus(_u17017)), _u17019)), _u17020)), _u17021)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17017), hAPP(c_List_Omonoid__add__class_Olistsum(_u17017), hAPP(hAPP(c_List_Omap(_u17018, _u17017), _u17019), _u17021))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17017), hAPP(hAPP(c_List_Omap(_u17018, _u17017), _u17020), _u17021)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u17022) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17022), hAPP(hAPP(c_List_Omap(_u17023, _u17022), hAPP(hAPP(c_COMBS(_u17023, _u17022, _u17022), hAPP(hAPP(c_COMBB(_u17022, tc_fun(_u17022, _u17022), _u17023), c_Groups_Ominus__class_Ominus(_u17022)), _u17024)), _u17025)), _u17026)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u17022), hAPP(c_List_Omonoid__add__class_Olistsum(_u17022), hAPP(hAPP(c_List_Omap(_u17023, _u17022), _u17024), _u17026))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17022), hAPP(hAPP(c_List_Omap(_u17023, _u17022), _u17025), _u17026)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u17027) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17027), hAPP(hAPP(c_List_Omap(_u17028, _u17027), hAPP(c_COMBK(_u17027, _u17028), c_Groups_Ozero__class_Ozero(_u17027))), _u17029)) = c_Groups_Ozero__class_Ozero(_u17027)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u17030) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17030), hAPP(hAPP(c_List_Omap(_u17031, _u17030), hAPP(hAPP(c_COMBB(_u17030, _u17030, _u17031), hAPP(c_Groups_Otimes__class_Otimes(_u17030), _u17032)), _u17033)), _u17034)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17030), _u17032), hAPP(c_List_Omonoid__add__class_Olistsum(_u17030), hAPP(hAPP(c_List_Omap(_u17031, _u17030), _u17033), _u17034)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u17035) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17035), hAPP(hAPP(c_List_Omap(_u17036, _u17035), hAPP(hAPP(c_COMBC(_u17036, _u17035, _u17035), hAPP(hAPP(c_COMBB(_u17035, tc_fun(_u17035, _u17035), _u17036), c_Groups_Otimes__class_Otimes(_u17035)), _u17037)), _u17038)), _u17039)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17035), hAPP(c_List_Omonoid__add__class_Olistsum(_u17035), hAPP(hAPP(c_List_Omap(_u17036, _u17035), _u17037), _u17039))), _u17038)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17040, _u17041, _u17042, c_Orderings_Otop__class_Otop(tc_fun(_u17040, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17040, _u17041), _u17042), _u17043) != hAPP(hAPP(c_List_Omap(_u17040, _u17041), _u17042), _u17044)) | ( _u17043 = _u17044) )).
% 12.17/12.42 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17040, _u17041, _u17042, c_Orderings_Otop__class_Otop(tc_fun(_u17040, tc_HOL_Obool))) | ( _u17043 != _u17044) | ( hAPP(hAPP(c_List_Omap(_u17040, _u17041), _u17042), _u17043) = hAPP(hAPP(c_List_Omap(_u17040, _u17041), _u17042), _u17044)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17045, _u17046), _u17047), _u17048) != hAPP(hAPP(c_List_Omap(_u17045, _u17046), _u17047), _u17049)) | ~c_Fun_Oinj__on(_u17045, _u17046, _u17047, c_Orderings_Otop__class_Otop(tc_fun(_u17045, tc_HOL_Obool))) | ( _u17048 = _u17049) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17050, _u17050), c_COMBI(_u17050)), _u17051) = _u17051) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_take__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17052), _u17053), hAPP(hAPP(c_List_Omap(_u17054, _u17052), _u17055), _u17056)) = hAPP(hAPP(c_List_Omap(_u17054, _u17052), _u17055), hAPP(hAPP(c_List_Otake(_u17054), _u17053), _u17056))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17057, _u17058), _u17059), c_List_Obutlast(_u17057, _u17060)) = c_List_Obutlast(_u17058, hAPP(hAPP(c_List_Omap(_u17057, _u17058), _u17059), _u17060))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u17061), hAPP(hAPP(c_List_Omap(_u17062, _u17061), _u17063), _u17064)) = hAPP(c_Set_Oimage(_u17062, _u17061, _u17063), hAPP(c_List_Oset(_u17062), _u17064))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17065, _u17066), _u17067), hAPP(hAPP(c_List_Olist_OCons(_u17065), _u17068), _u17069)) = hAPP(hAPP(c_List_Olist_OCons(_u17066), hAPP(_u17067, _u17068)), hAPP(hAPP(c_List_Omap(_u17065, _u17066), _u17067), _u17069))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17070, _u17071), _u17072), hAPP(hAPP(c_List_Oappend(_u17070), _u17073), _u17074)) = hAPP(hAPP(c_List_Oappend(_u17071), hAPP(hAPP(c_List_Omap(_u17070, _u17071), _u17072), _u17073)), hAPP(hAPP(c_List_Omap(_u17070, _u17071), _u17072), _u17074))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_hd__map-1, axiom, ( ( _u17075 = c_List_Olist_ONil(_u17076)) | ( hAPP(c_List_Ohd(_u17077), hAPP(hAPP(c_List_Omap(_u17076, _u17077), _u17078), _u17075)) = hAPP(_u17078, hAPP(c_List_Ohd(_u17076), _u17075))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17079), _u17080), hAPP(hAPP(c_List_Omap(_u17081, _u17079), _u17082), _u17083)) = hAPP(hAPP(c_List_Omap(_u17081, _u17079), _u17082), hAPP(hAPP(c_List_Odrop(_u17081), _u17080), _u17083))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17084), tc_List_Olist(_u17085), tc_List_Olist(_u17086), hAPP(c_List_Omap(_u17084, _u17085), _u17087)), hAPP(c_List_Omap(_u17086, _u17084), _u17088)) = hAPP(c_List_Omap(_u17086, _u17085), hAPP(c_Fun_Ocomp(_u17084, _u17085, _u17086, _u17087), _u17088))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17089), tc_List_Olist(_u17090), tc_List_Olist(_u17091), hAPP(c_List_Omap(_u17089, _u17090), _u17092)), hAPP(c_List_Omap(_u17091, _u17089), _u17093)) = hAPP(c_List_Omap(_u17091, _u17090), hAPP(c_Fun_Ocomp(_u17089, _u17090, _u17091, _u17092), _u17093))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17094, _u17095), _u17096), hAPP(hAPP(c_List_Omap(_u17097, _u17094), _u17098), _u17099)) = hAPP(hAPP(c_List_Omap(_u17097, _u17095), hAPP(c_Fun_Ocomp(_u17094, _u17095, _u17097, _u17096), _u17098)), _u17099)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17100, _u17101), _u17102), hAPP(hAPP(c_List_Omap(_u17103, _u17100), _u17104), _u17105)) = hAPP(hAPP(c_List_Omap(_u17103, _u17101), hAPP(c_Fun_Ocomp(_u17100, _u17101, _u17103, _u17102), _u17104)), _u17105)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u17106, _u17106), c_COMBI(_u17106)) = c_Fun_Oid(tc_List_Olist(_u17106))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u17107, _u17107), c_Fun_Oid(_u17107)) = c_Fun_Oid(tc_List_Olist(_u17107))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u17108, _u17109, hAPP(hAPP(c_List_Omap(_u17110, _u17108), _u17111), _u17112)) = c_List_Olist_Olist__size(_u17110, hAPP(c_Fun_Ocomp(_u17108, tc_Nat_Onat, _u17110, _u17109), _u17111), _u17112)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17113, _u17114, _u17115, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17113, tc_HOL_Obool)), hAPP(c_List_Oset(_u17113), _u17116)), hAPP(c_List_Oset(_u17113), _u17117))) | ( hAPP(hAPP(c_List_Omap(_u17113, _u17114), _u17115), _u17116) != hAPP(hAPP(c_List_Omap(_u17113, _u17114), _u17115), _u17117)) | ( _u17116 = _u17117) )).
% 12.17/12.42 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17113, _u17114, _u17115, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17113, tc_HOL_Obool)), hAPP(c_List_Oset(_u17113), _u17116)), hAPP(c_List_Oset(_u17113), _u17117))) | ( _u17116 != _u17117) | ( hAPP(hAPP(c_List_Omap(_u17113, _u17114), _u17115), _u17116) = hAPP(hAPP(c_List_Omap(_u17113, _u17114), _u17115), _u17117)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17118, _u17119), _u17120), _u17121) != hAPP(hAPP(c_List_Omap(_u17118, _u17119), _u17120), _u17122)) | ~c_Fun_Oinj__on(_u17118, _u17119, _u17120, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17118, tc_HOL_Obool)), hAPP(c_List_Oset(_u17118), _u17121)), hAPP(c_List_Oset(_u17118), _u17122))) | ( _u17121 = _u17122) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17123), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17124)), _u17125))) | ( hAPP(hAPP(c_List_Onth(_u17126), hAPP(hAPP(c_List_Omap(_u17124, _u17126), _u17127), _u17125)), _u17123) = hAPP(_u17127, hAPP(hAPP(c_List_Onth(_u17124), _u17125), _u17123))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17128), _u17129), hAPP(c_List_Oset(_u17128), _u17130))) | ( hAPP(hAPP(c_List_Omap(_u17128, _u17131), c_Fun_Ofun__upd(_u17128, _u17131, _u17132, _u17129, _u17133)), _u17130) = hAPP(hAPP(c_List_Omap(_u17128, _u17131), _u17132), _u17130)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17138), hAPP(hAPP(c_List_Omap(_u17140, _u17138), _u17142), _u17144))) | hBOOL(hAPP(c_List_Odistinct(_u17140), _u17144)) )).
% 12.17/12.42 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17138), hAPP(hAPP(c_List_Omap(_u17140, _u17138), _u17142), _u17144))) | c_Fun_Oinj__on(_u17140, _u17138, _u17142, hAPP(c_List_Oset(_u17140), _u17144)) )).
% 12.17/12.42 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17141), _u17145)) | ~c_Fun_Oinj__on(_u17141, _u17139, _u17143, hAPP(c_List_Oset(_u17141), _u17145)) | hBOOL(hAPP(c_List_Odistinct(_u17139), hAPP(hAPP(c_List_Omap(_u17141, _u17139), _u17143), _u17145))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u17146) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17146), hAPP(c_Groups_Oabs__class_Oabs(_u17146), hAPP(c_List_Omonoid__add__class_Olistsum(_u17146), _u17147))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17146), hAPP(hAPP(c_List_Omap(_u17146, _u17146), c_Groups_Oabs__class_Oabs(_u17146)), _u17147)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u17148) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17148), hAPP(c_List_Omonoid__add__class_Olistsum(_u17148), hAPP(hAPP(c_List_Omap(_u17149, _u17148), _u17150), _u17151))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17148), hAPP(hAPP(c_List_Omap(_u17149, _u17148), hAPP(c_Fun_Ocomp(_u17148, _u17148, _u17149, c_Groups_Ouminus__class_Ouminus(_u17148)), _u17150)), _u17151))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17152, _u17153, _u17154, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17152, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17152), tc_fun(_u17152, tc_HOL_Obool), c_List_Oset(_u17152)), _u17155))) | c_Fun_Oinj__on(tc_List_Olist(_u17152), tc_List_Olist(_u17153), hAPP(c_List_Omap(_u17152, _u17153), _u17154), _u17155) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17156), tc_List_Olist(_u17157), hAPP(c_List_Omap(_u17156, _u17157), _u17158), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17156), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17156, _u17157, _u17158, c_Orderings_Otop__class_Otop(tc_fun(_u17156, tc_HOL_Obool))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17162), tc_List_Olist(_u17164), hAPP(c_List_Omap(_u17162, _u17164), _u17166), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17162), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17162, _u17164, _u17166, c_Orderings_Otop__class_Otop(tc_fun(_u17162, tc_HOL_Obool))) )).
% 12.17/12.42 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u17163, _u17165, _u17167, c_Orderings_Otop__class_Otop(tc_fun(_u17163, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17163), tc_List_Olist(_u17165), hAPP(c_List_Omap(_u17163, _u17165), _u17167), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17163), tc_HOL_Obool))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17168) | ~hBOOL(hAPP(c_List_Odistinct(_u17169), _u17170)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17168), hAPP(hAPP(c_List_Omap(_u17169, _u17168), _u17171), _u17170)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17169, _u17168), _u17171), hAPP(c_List_Oset(_u17169), _u17170))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u17172) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17172), hAPP(hAPP(c_List_Omap(_u17173, _u17172), hAPP(c_COMBK(_u17172, _u17173), _u17174)), _u17175)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17172), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17172), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17173)), _u17175))), _u17174)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17176) | ~hBOOL(hAPP(hAPP(c_member(_u17177), _u17178), hAPP(c_List_Oset(_u17177), _u17179))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17176), hAPP(hAPP(c_List_Omap(_u17177, _u17176), _u17180), _u17179)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17176), hAPP(_u17180, _u17178)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17176), hAPP(hAPP(c_List_Omap(_u17177, _u17176), _u17180), c_List_Oremove1(_u17177, _u17178, _u17179))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17182), _u17183)) | ( c_Nitpick_Osetsum_H(_u17182, _u17181, _u17184, _u17183) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17181), hAPP(hAPP(c_List_Omap(_u17182, _u17181), _u17184), c_Hilbert__Choice_OEps(tc_List_Olist(_u17182), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17182), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17182)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17182), tc_fun(_u17182, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17182, tc_HOL_Obool), tc_fun(tc_fun(_u17182, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17182)), c_fequal), c_List_Oset(_u17182))), _u17183))), c_List_Odistinct(_u17182)))))) )).
% 12.17/12.42 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17181) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17182), _u17183)) | ( c_Nitpick_Osetsum_H(_u17182, _u17181, _u17184, _u17183) = c_Groups_Ozero__class_Ozero(_u17181)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17185), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17186)), _u17187))) | ( hAPP(c_Random_Opick(_u17186, hAPP(hAPP(c_List_Omap(_u17186, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17186)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17186), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17187)), hAPP(c_Code__Numeral_Oof__nat, _u17185)) = hAPP(hAPP(c_List_Onth(_u17186), _u17187), _u17185)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 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))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 12.17/12.42 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, _u17188)), hAPP(c_Code__Numeral_Oof__nat, _u17189)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17188), _u17189))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17192) != hAPP(c_Code__Numeral_Oof__nat, _u17194)) | ( _u17192 = _u17194) )).
% 12.17/12.42 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u17193 != _u17195) | ( hAPP(c_Code__Numeral_Oof__nat, _u17193) = hAPP(c_Code__Numeral_Oof__nat, _u17195)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 12.17/12.42 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)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 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))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 12.17/12.42 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, _u17198)), hAPP(c_Code__Numeral_Oof__nat, _u17200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17198), _u17200)) )).
% 12.17/12.42 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17199), _u17201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17199)), hAPP(c_Code__Numeral_Oof__nat, _u17201))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17202), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17203), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17202) != hAPP(c_Code__Numeral_Oof__nat, _u17203)) | ( _u17202 = _u17203) )).
% 12.17/12.42 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17202), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17203), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17202 != _u17203) | ( hAPP(c_Code__Numeral_Oof__nat, _u17202) = hAPP(c_Code__Numeral_Oof__nat, _u17203)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17204)), _u17205) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17206)), _u17207)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17204, _u17206), _u17204), c_Product__Type_Ofst(_u17204, _u17206)), hAPP(hAPP(c_List_Ozip(_u17204, _u17206), _u17205), _u17207)) = _u17205) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17208)), _u17209) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17210)), _u17211)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17208, _u17210), _u17210), c_Product__Type_Osnd(_u17208, _u17210)), hAPP(hAPP(c_List_Ozip(_u17208, _u17210), _u17209), _u17211)) = _u17211) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 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)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17212, _u17213), hAPP(hAPP(c_List_Omap(tc_prod(_u17212, _u17213), _u17212), c_Product__Type_Ofst(_u17212, _u17213)), _u17214)), hAPP(hAPP(c_List_Omap(tc_prod(_u17212, _u17213), _u17213), c_Product__Type_Osnd(_u17212, _u17213)), _u17214)) = _u17214) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 12.17/12.42 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, _u17215)), hAPP(c_Code__Numeral_Oof__nat, _u17216)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17215), _u17216))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 12.17/12.42 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, _u17219)), hAPP(c_Code__Numeral_Oof__nat, _u17221))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17219), _u17221)) )).
% 12.17/12.42 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17220), _u17222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17220)), hAPP(c_Code__Numeral_Oof__nat, _u17222))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17223), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17224), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17224)), _u17225)))) | hBOOL(hAPP(hAPP(c_member(_u17224), hAPP(c_Random_Opick(_u17224, _u17225), _u17223)), hAPP(c_List_Oset(_u17224), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17224), _u17224), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17224)), _u17225)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17226)), _u17227) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17228)), _u17229)) | ( hAPP(hAPP(c_List_Ozip(_u17226, _u17228), _u17227), _u17229) != _u17230) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17226, _u17228), _u17226), c_Product__Type_Ofst(_u17226, _u17228)), _u17230) = _u17227) )).
% 12.17/12.42 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17226)), _u17227) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17228)), _u17229)) | ( hAPP(hAPP(c_List_Ozip(_u17226, _u17228), _u17227), _u17229) != _u17230) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17226, _u17228), _u17228), c_Product__Type_Osnd(_u17226, _u17228)), _u17230) = _u17229) )).
% 12.17/12.42 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17226)), _u17227) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17228)), _u17229)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17226, _u17228), _u17226), c_Product__Type_Ofst(_u17226, _u17228)), _u17230) != _u17227) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17226, _u17228), _u17228), c_Product__Type_Osnd(_u17226, _u17228)), _u17230) != _u17229) | ( hAPP(hAPP(c_List_Ozip(_u17226, _u17228), _u17227), _u17229) = _u17230) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u17231, _u17232, _u17233) = 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(_u17231, tc_Nat_Onat), _u17232), _u17233))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17231)), _u17233))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u17235 = 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)), _u17235)) )).
% 12.17/12.42 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)), _u17236)) | ( _u17236 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17237) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17237), _u17238), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17239, _u17240))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17237), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17237), _u17238), c_List_Oupto(_u17239, _u17240)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17241) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17241), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17241), _u17242), c_List_Oupto(_u17243, _u17244))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17241), _u17242), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17243, _u17244)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 12.17/12.42 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, _u17245), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17245)), _u17246)))) | hBOOL(hAPP(hAPP(c_member(_u17245), hAPP(c_Product__Type_Ofst(_u17245, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17245, _u17246), _u17247))), hAPP(c_List_Oset(_u17245), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17245), _u17245), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17245)), _u17246)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u17248, _u17249) = 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(_u17248, 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, _u17248), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17248)), _u17249)))), hAPP(hAPP(c_COMBB(_u17248, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17248, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17248, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17248, _u17249)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_select__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u17250, _u17251) = 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(_u17250, 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(_u17250)), _u17251)))), hAPP(hAPP(c_COMBB(_u17250, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17250, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17250, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17250, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17250), _u17251)), c_Code__Numeral_Onat__of)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17252)), hAPP(c_Code__Numeral_Oof__nat, _u17253)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17252), _u17253))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17254), _u17255) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17254)), hAPP(c_Code__Numeral_Onat__of, _u17255)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17256)) = _u17256) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17257)) = _u17257) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17258)) = _u17258) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17261) != hAPP(c_Code__Numeral_Onat__of, _u17263)) | ( _u17261 = _u17263) )).
% 12.17/12.42 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u17262 != _u17264) | ( hAPP(c_Code__Numeral_Onat__of, _u17262) = hAPP(c_Code__Numeral_Onat__of, _u17264)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17267) != hAPP(c_Code__Numeral_Onat__of, _u17269)) | ( _u17267 = _u17269) )).
% 12.17/12.42 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u17268 != _u17270) | ( hAPP(c_Code__Numeral_Onat__of, _u17268) = hAPP(c_Code__Numeral_Onat__of, _u17270)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 12.17/12.42 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))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17273), _u17275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17273)), hAPP(c_Code__Numeral_Onat__of, _u17275))) )).
% 12.17/12.42 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, _u17274)), hAPP(c_Code__Numeral_Onat__of, _u17276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17274), _u17276)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17277)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 12.17/12.42 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), _u17278)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17278)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 12.17/12.42 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)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17281), _u17283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17281)), hAPP(c_Code__Numeral_Onat__of, _u17283))) )).
% 12.17/12.42 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, _u17282)), hAPP(c_Code__Numeral_Onat__of, _u17284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17282), _u17284)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17285) = c_Code__Numeral_Onat__of__aux(_u17285, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u17286, _u17287) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17286)), _u17287)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u17288) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17288)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17289), _u17290) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17289)), hAPP(c_Code__Numeral_Onat__of, _u17290)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17291), 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, _u17291)) = _u17291) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17292), _u17293) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17292)), hAPP(c_Code__Numeral_Onat__of, _u17293)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17294), _u17295) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17294)), hAPP(c_Code__Numeral_Onat__of, _u17295)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17296), _u17297) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u17296), _u17297)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17298, _u17299) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17298), hAPP(c_Code__Numeral_Onat__of, _u17299)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_code__numeral__decr-1, axiom, ( ( _u17300 = 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, _u17300)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17300))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u17302) | ~class_Groups_Oordered__ab__semigroup__add(_u17302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17302), hAPP(c_List_Omonoid__add__class_Olistsum(_u17302), hAPP(hAPP(c_List_Omap(_u17303, _u17302), _u17305), _u17304))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17302), hAPP(hAPP(c_List_Omap(_u17303, _u17302), _u17306), _u17304)))) | hBOOL(hAPP(hAPP(c_member(_u17303), skolem433(_u17306, _u17305, _u17304, _u17303, _u17302)), hAPP(c_List_Oset(_u17303), _u17304))) )).
% 12.17/12.42 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u17302) | ~class_Groups_Oordered__ab__semigroup__add(_u17302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17302), hAPP(c_List_Omonoid__add__class_Olistsum(_u17302), hAPP(hAPP(c_List_Omap(_u17303, _u17302), _u17305), _u17304))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17302), hAPP(hAPP(c_List_Omap(_u17303, _u17302), _u17306), _u17304)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17302), hAPP(_u17305, skolem433(_u17306, _u17305, _u17304, _u17303, _u17302))), hAPP(_u17306, skolem433(_u17306, _u17305, _u17304, _u17303, _u17302)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17307), _u17308) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17307, 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)))), _u17308)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u17309, _u17310, _u17311) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17309), tc_List_Olist(_u17309)), _u17312), _u17313)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17309, tc_HOL_Obool)), hAPP(c_List_Oset(_u17309), _u17312)), hAPP(c_List_Oset(_u17309), _u17313)) = hAPP(c_List_Oset(_u17309), _u17311)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists__IntI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists__IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17314)), _u17315), c_List_Olists(_u17314, _u17316))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17314)), _u17315), c_List_Olists(_u17314, _u17317))) | hBOOL(hAPP(c_List_Olistsp(_u17314, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17314, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17314, tc_fun(_u17314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17314)), _u17316)), hAPP(hAPP(c_COMBC(_u17314, tc_fun(_u17314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17314)), _u17317))), _u17315)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsp_ONil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsp_ONil-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17318, _u17319), c_List_Olist_ONil(_u17318))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsp_Oequations_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsp_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17320, _u17321), c_List_Olist_ONil(_u17320))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_in__listsp__conv__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_in__listsp__conv__set-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17327, _u17329), _u17331)) | ~hBOOL(hAPP(hAPP(c_member(_u17327), _u17322), hAPP(c_List_Oset(_u17327), _u17331))) | hBOOL(hAPP(_u17329, _u17322)) )).
% 12.17/12.42 cnf(fact_in__listsp__conv__set-2, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17328, _u17330), _u17332)) | hBOOL(hAPP(hAPP(c_member(_u17328), skolem434(_u17332, _u17330, _u17328)), hAPP(c_List_Oset(_u17328), _u17332))) )).
% 12.17/12.42 cnf(fact_in__listsp__conv__set-3, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17328, _u17330), _u17332)) | ~hBOOL(hAPP(_u17330, skolem434(_u17332, _u17330, _u17328))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsp__conj__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsp__conj__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17337, hAPP(hAPP(c_COMBS(_u17337, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17337), c_fconj), _u17339)), _u17341)), _u17343)) | hBOOL(hAPP(c_List_Olistsp(_u17337, _u17339), _u17343)) )).
% 12.17/12.42 cnf(fact_listsp__conj__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17337, hAPP(hAPP(c_COMBS(_u17337, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17337), c_fconj), _u17339)), _u17341)), _u17343)) | hBOOL(hAPP(c_List_Olistsp(_u17337, _u17341), _u17343)) )).
% 12.17/12.42 cnf(fact_listsp__conj__eq-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17338, _u17340), _u17344)) | ~hBOOL(hAPP(c_List_Olistsp(_u17338, _u17342), _u17344)) | hBOOL(hAPP(c_List_Olistsp(_u17338, hAPP(hAPP(c_COMBS(_u17338, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17338), c_fconj), _u17340)), _u17342)), _u17344)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsp__infI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsp__infI-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17345, _u17346), _u17347)) | ~hBOOL(hAPP(c_List_Olistsp(_u17345, _u17348), _u17347)) | hBOOL(hAPP(c_List_Olistsp(_u17345, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17345, tc_HOL_Obool)), _u17346), _u17348)), _u17347)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsp__inf__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsp__inf__eq-1, axiom, ( ( c_List_Olistsp(_u17349, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17349, tc_HOL_Obool)), _u17350), _u17351)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17349), tc_HOL_Obool)), c_List_Olistsp(_u17349, _u17350)), c_List_Olistsp(_u17349, _u17351))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsp_Oequations_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17356, _u17358), hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17360), _u17362))) | hBOOL(hAPP(_u17358, _u17360)) )).
% 12.17/12.42 cnf(fact_listsp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17356, _u17358), hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17360), _u17362))) | hBOOL(hAPP(c_List_Olistsp(_u17356, _u17358), _u17362)) )).
% 12.17/12.42 cnf(fact_listsp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(_u17359, _u17361)) | ~hBOOL(hAPP(c_List_Olistsp(_u17357, _u17359), _u17363)) | hBOOL(hAPP(c_List_Olistsp(_u17357, _u17359), hAPP(hAPP(c_List_Olist_OCons(_u17357), _u17361), _u17363))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_append__in__listsp__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_append__in__listsp__conv-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17368, _u17370), hAPP(hAPP(c_List_Oappend(_u17368), _u17372), _u17374))) | hBOOL(hAPP(c_List_Olistsp(_u17368, _u17370), _u17372)) )).
% 12.17/12.42 cnf(fact_append__in__listsp__conv-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17368, _u17370), hAPP(hAPP(c_List_Oappend(_u17368), _u17372), _u17374))) | hBOOL(hAPP(c_List_Olistsp(_u17368, _u17370), _u17374)) )).
% 12.17/12.42 cnf(fact_append__in__listsp__conv-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17369, _u17371), _u17373)) | ~hBOOL(hAPP(c_List_Olistsp(_u17369, _u17371), _u17375)) | hBOOL(hAPP(c_List_Olistsp(_u17369, _u17371), hAPP(hAPP(c_List_Oappend(_u17369), _u17373), _u17375))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsp__mono ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17376, tc_HOL_Obool)), _u17377), _u17378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17376), tc_HOL_Obool)), c_List_Olistsp(_u17376, _u17377)), c_List_Olistsp(_u17376, _u17378))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u17381, _u17382, _u17383) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17381), tc_List_Olist(_u17381)), _u17384), _u17385)) | ~hBOOL(hAPP(hAPP(c_member(_u17381), _u17379), hAPP(c_List_Oset(_u17381), _u17384))) | hBOOL(hAPP(_u17382, _u17379)) )).
% 12.17/12.42 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u17381, _u17382, _u17383) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17381), tc_List_Olist(_u17381)), _u17384), _u17385)) | ~hBOOL(hAPP(hAPP(c_member(_u17381), _u17380), hAPP(c_List_Oset(_u17381), _u17385))) | ~hBOOL(hAPP(_u17382, _u17380)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u17386, _u17387, c_List_Olist_ONil(_u17386)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17386), tc_List_Olist(_u17386)), c_List_Olist_ONil(_u17386)), c_List_Olist_ONil(_u17386))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_listsp__lists__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_listsp__lists__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17391, hAPP(hAPP(c_COMBC(_u17391, tc_fun(_u17391, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17391)), _u17393)), _u17395)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17391)), _u17395), c_List_Olists(_u17391, _u17393))) )).
% 12.17/12.42 cnf(fact_listsp__lists__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17392)), _u17396), c_List_Olists(_u17392, _u17394))) | hBOOL(hAPP(c_List_Olistsp(_u17392, hAPP(hAPP(c_COMBC(_u17392, tc_fun(_u17392, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17392)), _u17394)), _u17396)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u17397, _u17398, hAPP(hAPP(c_List_Olist_OCons(_u17397), _u17399), _u17400)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17397), tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17397), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17397), tc_fun(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), tc_fun(tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), tc_List_Olist(_u17397)), c_COMBS(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_fun(tc_List_Olist(_u17397), tc_fun(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), tc_List_Olist(_u17397)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_fun(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_List_Olist(_u17397)), hAPP(c_If(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), hAPP(_u17398, _u17399)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17397), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_List_Olist(_u17397)), c_Product__Type_OPair(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), hAPP(c_List_Olist_OCons(_u17397), _u17399))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17397), tc_fun(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_fun(tc_fun(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), tc_List_Olist(_u17397)), c_COMBB(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_List_Olist(_u17397))), c_Product__Type_OPair(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), hAPP(c_List_Olist_OCons(_u17397), _u17399)))), c_List_Opartition(_u17397, _u17398, _u17400))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_lists__Int__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_lists__Int__eq-1, axiom, ( ( c_List_Olistsp(_u17401, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17401, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17401, tc_fun(_u17401, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17401)), _u17402)), hAPP(hAPP(c_COMBC(_u17401, tc_fun(_u17401, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17401)), _u17403))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17401), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17401), tc_fun(tc_List_Olist(_u17401), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17401))), c_List_Olists(_u17401, _u17402))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17401), tc_fun(tc_List_Olist(_u17401), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17401))), c_List_Olists(_u17401, _u17403)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_product_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_product_Osimps_I2_J-1, axiom, ( ( c_Enum_Oproduct(_u17404, _u17405, hAPP(hAPP(c_List_Olist_OCons(_u17404), _u17406), _u17407), _u17408) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17404, _u17405)), hAPP(hAPP(c_List_Omap(_u17405, tc_prod(_u17404, _u17405)), hAPP(c_Product__Type_OPair(_u17404, _u17405), _u17406)), _u17408)), c_Enum_Oproduct(_u17404, _u17405, _u17407, _u17408))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__def-1, axiom, ( ~c_List_Olist__all2(_u17416, _u17418, _u17420, _u17422, _u17424) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17416)), _u17422) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17418)), _u17424)) )).
% 12.17/12.42 cnf(fact_list__all2__def-2, axiom, ( ~c_List_Olist__all2(_u17416, _u17418, _u17420, _u17422, _u17424) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17416, _u17418)), _u17409), hAPP(c_List_Oset(tc_prod(_u17416, _u17418)), hAPP(hAPP(c_List_Ozip(_u17416, _u17418), _u17422), _u17424)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17416, _u17418, tc_HOL_Obool), _u17420), _u17409)) )).
% 12.17/12.42 cnf(fact_list__all2__def-3, axiom, ( c_List_Olist__all2(_u17417, _u17419, _u17421, _u17423, _u17425) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17417)), _u17423) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17419)), _u17425)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17417, _u17419)), skolem435(_u17425, _u17423, _u17421, _u17419, _u17417)), hAPP(c_List_Oset(tc_prod(_u17417, _u17419)), hAPP(hAPP(c_List_Ozip(_u17417, _u17419), _u17423), _u17425)))) )).
% 12.17/12.42 cnf(fact_list__all2__def-4, axiom, ( c_List_Olist__all2(_u17417, _u17419, _u17421, _u17423, _u17425) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17417)), _u17423) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17419)), _u17425)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17417, _u17419, tc_HOL_Obool), _u17421), skolem435(_u17425, _u17423, _u17421, _u17419, _u17417))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__map1 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__map1-1, axiom, ( ~c_List_Olist__all2(_u17433, _u17435, _u17437, hAPP(hAPP(c_List_Omap(_u17439, _u17433), _u17441), _u17443), _u17445) | c_List_Olist__all2(_u17439, _u17435, hAPP(hAPP(c_COMBB(_u17433, tc_fun(_u17435, tc_HOL_Obool), _u17439), _u17437), _u17441), _u17443, _u17445) )).
% 12.17/12.42 cnf(fact_list__all2__map1-2, axiom, ( ~c_List_Olist__all2(_u17440, _u17436, hAPP(hAPP(c_COMBB(_u17434, tc_fun(_u17436, tc_HOL_Obool), _u17440), _u17438), _u17442), _u17444, _u17446) | c_List_Olist__all2(_u17434, _u17436, _u17438, hAPP(hAPP(c_List_Omap(_u17440, _u17434), _u17442), _u17444), _u17446) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__map2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__map2-1, axiom, ( ~c_List_Olist__all2(_u17454, _u17456, _u17458, _u17460, hAPP(hAPP(c_List_Omap(_u17462, _u17456), _u17464), _u17466)) | c_List_Olist__all2(_u17454, _u17462, hAPP(hAPP(c_COMBC(_u17454, tc_fun(_u17462, _u17456), tc_fun(_u17462, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17456, tc_HOL_Obool), tc_fun(tc_fun(_u17462, _u17456), tc_fun(_u17462, tc_HOL_Obool)), _u17454), c_COMBB(_u17456, tc_HOL_Obool, _u17462)), _u17458)), _u17464), _u17460, _u17466) )).
% 12.17/12.42 cnf(fact_list__all2__map2-2, axiom, ( ~c_List_Olist__all2(_u17455, _u17463, hAPP(hAPP(c_COMBC(_u17455, tc_fun(_u17463, _u17457), tc_fun(_u17463, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17457, tc_HOL_Obool), tc_fun(tc_fun(_u17463, _u17457), tc_fun(_u17463, tc_HOL_Obool)), _u17455), c_COMBB(_u17457, tc_HOL_Obool, _u17463)), _u17459)), _u17465), _u17461, _u17467) | c_List_Olist__all2(_u17455, _u17457, _u17459, _u17461, hAPP(hAPP(c_List_Omap(_u17463, _u17457), _u17465), _u17467)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__dropI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__dropI-1, axiom, ( ~c_List_Olist__all2(_u17468, _u17469, _u17470, _u17471, _u17472) | c_List_Olist__all2(_u17468, _u17469, _u17470, hAPP(hAPP(c_List_Odrop(_u17468), _u17473), _u17471), hAPP(hAPP(c_List_Odrop(_u17469), _u17473), _u17472)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__appendI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__appendI-1, axiom, ( ~c_List_Olist__all2(_u17474, _u17475, _u17476, _u17477, _u17478) | ~c_List_Olist__all2(_u17474, _u17475, _u17476, _u17479, _u17480) | c_List_Olist__all2(_u17474, _u17475, _u17476, hAPP(hAPP(c_List_Oappend(_u17474), _u17477), _u17479), hAPP(hAPP(c_List_Oappend(_u17475), _u17478), _u17480)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17481)), _u17482) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17483)), _u17484)) | ~c_List_Olist__all2(_u17481, _u17483, _u17485, hAPP(hAPP(c_List_Oappend(_u17481), _u17482), _u17486), hAPP(hAPP(c_List_Oappend(_u17483), _u17484), _u17487)) | c_List_Olist__all2(_u17481, _u17483, _u17485, _u17482, _u17484) )).
% 12.17/12.42 cnf(fact_list__all2__append-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17481)), _u17482) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17483)), _u17484)) | ~c_List_Olist__all2(_u17481, _u17483, _u17485, hAPP(hAPP(c_List_Oappend(_u17481), _u17482), _u17486), hAPP(hAPP(c_List_Oappend(_u17483), _u17484), _u17487)) | c_List_Olist__all2(_u17481, _u17483, _u17485, _u17486, _u17487) )).
% 12.17/12.42 cnf(fact_list__all2__append-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17481)), _u17482) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17483)), _u17484)) | ~c_List_Olist__all2(_u17481, _u17483, _u17485, _u17482, _u17484) | ~c_List_Olist__all2(_u17481, _u17483, _u17485, _u17486, _u17487) | c_List_Olist__all2(_u17481, _u17483, _u17485, hAPP(hAPP(c_List_Oappend(_u17481), _u17482), _u17486), hAPP(hAPP(c_List_Oappend(_u17483), _u17484), _u17487)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__Cons ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__Cons-1, axiom, ( ~c_List_Olist__all2(_u17495, _u17497, _u17499, hAPP(hAPP(c_List_Olist_OCons(_u17495), _u17501), _u17503), hAPP(hAPP(c_List_Olist_OCons(_u17497), _u17505), _u17507)) | hBOOL(hAPP(hAPP(_u17499, _u17501), _u17505)) )).
% 12.17/12.42 cnf(fact_list__all2__Cons-2, axiom, ( ~c_List_Olist__all2(_u17495, _u17497, _u17499, hAPP(hAPP(c_List_Olist_OCons(_u17495), _u17501), _u17503), hAPP(hAPP(c_List_Olist_OCons(_u17497), _u17505), _u17507)) | c_List_Olist__all2(_u17495, _u17497, _u17499, _u17503, _u17507) )).
% 12.17/12.42 cnf(fact_list__all2__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(_u17500, _u17502), _u17506)) | ~c_List_Olist__all2(_u17496, _u17498, _u17500, _u17504, _u17508) | c_List_Olist__all2(_u17496, _u17498, _u17500, hAPP(hAPP(c_List_Olist_OCons(_u17496), _u17502), _u17504), hAPP(hAPP(c_List_Olist_OCons(_u17498), _u17506), _u17508)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__takeI ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__takeI-1, axiom, ( ~c_List_Olist__all2(_u17509, _u17510, _u17511, _u17512, _u17513) | c_List_Olist__all2(_u17509, _u17510, _u17511, hAPP(hAPP(c_List_Otake(_u17509), _u17514), _u17512), hAPP(hAPP(c_List_Otake(_u17510), _u17514), _u17513)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__eq-1, axiom, ( ( _u17518 != _u17520) | c_List_Olist__all2(_u17522, _u17522, c_fequal, _u17518, _u17520) )).
% 12.17/12.42 cnf(fact_list__all2__eq-2, axiom, ( ~c_List_Olist__all2(_u17523, _u17523, c_fequal, _u17519, _u17521) | ( _u17519 = _u17521) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__lengthD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__lengthD-1, axiom, ( ~c_List_Olist__all2(_u17524, _u17525, _u17526, _u17527, _u17528) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17524)), _u17527) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17525)), _u17528)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__Nil-1, axiom, ( ( _u17539 = c_List_Olist_ONil(_u17535)) | ~c_List_Olist__all2(_u17533, _u17535, _u17537, c_List_Olist_ONil(_u17533), _u17539) )).
% 12.17/12.42 cnf(fact_list__all2__Nil-2, axiom, ( ( _u17540 != c_List_Olist_ONil(_u17536)) | c_List_Olist__all2(_u17534, _u17536, _u17538, c_List_Olist_ONil(_u17534), _u17540) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__Nil2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__Nil2-1, axiom, ( ~c_List_Olist__all2(_u17545, _u17547, _u17549, _u17551, c_List_Olist_ONil(_u17547)) | ( _u17551 = c_List_Olist_ONil(_u17545)) )).
% 12.17/12.42 cnf(fact_list__all2__Nil2-2, axiom, ( ( _u17552 != c_List_Olist_ONil(_u17546)) | c_List_Olist__all2(_u17546, _u17548, _u17550, _u17552, c_List_Olist_ONil(_u17548)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_product_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_product_Osimps_I1_J-1, axiom, ( ( c_Enum_Oproduct(_u17553, _u17554, c_List_Olist_ONil(_u17553), _u17555) = c_List_Olist_ONil(tc_prod(_u17553, _u17554))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__conv__all__nth ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__conv__all__nth-1, axiom, ( ~c_List_Olist__all2(_u17563, _u17565, _u17567, _u17569, _u17571) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17563)), _u17569) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17565)), _u17571)) )).
% 12.17/12.42 cnf(fact_list__all2__conv__all__nth-2, axiom, ( ~c_List_Olist__all2(_u17563, _u17565, _u17567, _u17569, _u17571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17556), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17563)), _u17569))) | hBOOL(hAPP(hAPP(_u17567, hAPP(hAPP(c_List_Onth(_u17563), _u17569), _u17556)), hAPP(hAPP(c_List_Onth(_u17565), _u17571), _u17556))) )).
% 12.17/12.42 cnf(fact_list__all2__conv__all__nth-3, axiom, ( c_List_Olist__all2(_u17564, _u17566, _u17568, _u17570, _u17572) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17564)), _u17570) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17566)), _u17572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem436(_u17572, _u17570, _u17568, _u17566, _u17564)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17564)), _u17570))) )).
% 12.17/12.42 cnf(fact_list__all2__conv__all__nth-4, axiom, ( c_List_Olist__all2(_u17564, _u17566, _u17568, _u17570, _u17572) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17564)), _u17570) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17566)), _u17572)) | ~hBOOL(hAPP(hAPP(_u17568, hAPP(hAPP(c_List_Onth(_u17564), _u17570), skolem436(_u17572, _u17570, _u17568, _u17566, _u17564))), hAPP(hAPP(c_List_Onth(_u17566), _u17572), skolem436(_u17572, _u17570, _u17568, _u17566, _u17564)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__nthD ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__nthD-1, axiom, ( ~c_List_Olist__all2(_u17573, _u17574, _u17575, _u17576, _u17577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17578), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17573)), _u17576))) | hBOOL(hAPP(hAPP(_u17575, hAPP(hAPP(c_List_Onth(_u17573), _u17576), _u17578)), hAPP(hAPP(c_List_Onth(_u17574), _u17577), _u17578))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__nthD2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__nthD2-1, axiom, ( ~c_List_Olist__all2(_u17579, _u17580, _u17581, _u17582, _u17583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17584), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17580)), _u17583))) | hBOOL(hAPP(hAPP(_u17581, hAPP(hAPP(c_List_Onth(_u17579), _u17582), _u17584)), hAPP(hAPP(c_List_Onth(_u17580), _u17583), _u17584))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__update__cong ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__update__cong-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17586)), _u17587))) | ~c_List_Olist__all2(_u17586, _u17588, _u17589, _u17587, _u17590) | ~hBOOL(hAPP(hAPP(_u17589, _u17591), _u17592)) | c_List_Olist__all2(_u17586, _u17588, _u17589, hAPP(hAPP(c_List_Olist__update(_u17586, _u17587), _u17585), _u17591), hAPP(hAPP(c_List_Olist__update(_u17588, _u17590), _u17585), _u17592)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2__update__cong2 ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2__update__cong2-1, axiom, ( ~c_List_Olist__all2(_u17593, _u17594, _u17595, _u17596, _u17597) | ~hBOOL(hAPP(hAPP(_u17595, _u17598), _u17599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17600), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17594)), _u17597))) | c_List_Olist__all2(_u17593, _u17594, _u17595, hAPP(hAPP(c_List_Olist__update(_u17593, _u17596), _u17600), _u17598), hAPP(hAPP(c_List_Olist__update(_u17594, _u17597), _u17600), _u17599)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__product ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__product-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17601), _u17602)) | ~hBOOL(hAPP(c_List_Odistinct(_u17603), _u17604)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17601, _u17603)), c_Enum_Oproduct(_u17601, _u17603, _u17602, _u17604))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_product__list__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_product__list__set-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u17605, _u17606)), c_Enum_Oproduct(_u17605, _u17606, _u17607, _u17608)) = hAPP(hAPP(c_Product__Type_OSigma(_u17605, _u17606), hAPP(c_List_Oset(_u17605), _u17607)), hAPP(c_COMBK(tc_fun(_u17606, tc_HOL_Obool), _u17605), hAPP(c_List_Oset(_u17606), _u17608)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sublists__powset ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sublists__powset-1, axiom, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u17609), tc_fun(_u17609, tc_HOL_Obool), c_List_Oset(_u17609)), hAPP(c_List_Oset(tc_List_Olist(_u17609)), c_Enum_Osublists(_u17609, _u17610))) = hAPP(c_Set_OPow(_u17609), hAPP(c_List_Oset(_u17609), _u17610))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__sublists ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__sublists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17611))), c_Enum_Osublists(_u17611, _u17612)) = 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(_u17611)), _u17612))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sublists_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sublists_Osimps_I1_J-1, axiom, ( ( c_Enum_Osublists(_u17613, c_List_Olist_ONil(_u17613)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17613)), c_List_Olist_ONil(_u17613)), c_List_Olist_ONil(tc_List_Olist(_u17613)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sublists_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sublists_Osimps_I2_J-1, axiom, ( ( c_Enum_Osublists(_u17614, hAPP(hAPP(c_List_Olist_OCons(_u17614), _u17615), _u17616)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17614)), tc_List_Olist(tc_List_Olist(_u17614))), c_Enum_Osublists(_u17614, _u17616)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17614)), tc_List_Olist(tc_List_Olist(_u17614)), tc_List_Olist(tc_List_Olist(_u17614))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17614)), tc_fun(tc_List_Olist(tc_List_Olist(_u17614)), tc_List_Olist(tc_List_Olist(_u17614))), tc_List_Olist(tc_List_Olist(_u17614))), c_List_Oappend(tc_List_Olist(_u17614))), hAPP(c_List_Omap(tc_List_Olist(_u17614), tc_List_Olist(_u17614)), hAPP(c_List_Olist_OCons(_u17614), _u17615)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17614)))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__set__sublists ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__set__sublists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17617), _u17618)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17617, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17617), tc_fun(_u17617, tc_HOL_Obool)), c_List_Oset(_u17617)), c_Enum_Osublists(_u17617, _u17618)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__n__lists ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__n__lists-1, axiom, ( ( hAPP(c_List_Oset(tc_List_Olist(_u17619)), c_Enum_On__lists(_u17619, _u17620, _u17621)) = hAPP(c_Set_OCollect(tc_List_Olist(_u17619)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17619), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17619)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17619), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17619)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17619)))), _u17620))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17619), tc_fun(_u17619, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17619, tc_HOL_Obool), tc_fun(tc_fun(_u17619, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17619)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17619, tc_HOL_Obool))), c_List_Oset(_u17619))), hAPP(c_List_Oset(_u17619), _u17621))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_enum__the__def ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_enum__the__def-1, axiom, ( ( c_Enum_Oenum__the(_u17622, _u17623) = c_HOL_OThe(_u17622, _u17623)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__n__lists ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__n__lists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17624), _u17625)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u17624)), c_Enum_On__lists(_u17624, _u17626, _u17625))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_n__lists__Nil ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_n__lists__Nil-1, axiom, ( ( _u17629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17631, _u17629, c_List_Olist_ONil(_u17631)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17631)), c_List_Olist_ONil(_u17631)), c_List_Olist_ONil(tc_List_Olist(_u17631)))) )).
% 12.17/12.42 cnf(fact_n__lists__Nil-2, axiom, ( ( _u17630 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17632, _u17630, c_List_Olist_ONil(_u17632)) = c_List_Olist_ONil(tc_List_Olist(_u17632))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_n__lists_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_n__lists_Osimps_I1_J-1, axiom, ( ( c_Enum_On__lists(_u17633, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17634) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17633)), c_List_Olist_ONil(_u17633)), c_List_Olist_ONil(tc_List_Olist(_u17633)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__n__lists ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__n__lists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17635))), c_Enum_On__lists(_u17635, _u17636, _u17637)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17635)), _u17637)), _u17636)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__n__lists__elem ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__n__lists__elem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17638)), _u17639), hAPP(c_List_Oset(tc_List_Olist(_u17638)), c_Enum_On__lists(_u17638, _u17640, _u17641)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17638)), _u17639) = _u17640) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_list__all2I ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_list__all2I-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17643)), _u17645) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17644)), _u17646)) | c_List_Olist__all2(_u17643, _u17644, _u17647, _u17645, _u17646) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17643, _u17644)), skolem437(_u17647, _u17646, _u17645, _u17644, _u17643)), hAPP(c_List_Oset(tc_prod(_u17643, _u17644)), hAPP(hAPP(c_List_Ozip(_u17643, _u17644), _u17645), _u17646)))) )).
% 12.17/12.42 cnf(fact_list__all2I-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17643)), _u17645) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17644)), _u17646)) | c_List_Olist__all2(_u17643, _u17644, _u17647, _u17645, _u17646) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17643, _u17644, tc_HOL_Obool), _u17647), skolem437(_u17647, _u17646, _u17645, _u17644, _u17643))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_all__nth__imp__all__set ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_all__nth__imp__all__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17649), _u17652), hAPP(c_List_Oset(_u17649), _u17650))) | hBOOL(hAPP(_u17651, _u17652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem438(_u17652, _u17651, _u17650, _u17649)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17649)), _u17650))) )).
% 12.17/12.42 cnf(fact_all__nth__imp__all__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17649), _u17652), hAPP(c_List_Oset(_u17649), _u17650))) | hBOOL(hAPP(_u17651, _u17652)) | ~hBOOL(hAPP(_u17651, hAPP(hAPP(c_List_Onth(_u17649), _u17650), skolem438(_u17652, _u17651, _u17650, _u17649)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u17653, _u17654, _u17655) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17653, _u17654, _u17655), _u17656), hAPP(c_List_Oset(_u17653), _u17657)) = hAPP(c_List_Ofoldl(_u17654, _u17653, hAPP(c_COMBC(_u17653, _u17654, _u17654), _u17655), _u17656), c_List_Oremdups(_u17653, _u17657))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__removeAll__inj__on ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__removeAll__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u17658, _u17659, _u17660, hAPP(hAPP(c_Set_Oinsert(_u17658), _u17661), hAPP(c_List_Oset(_u17658), _u17662))) | ( hAPP(hAPP(c_List_Omap(_u17658, _u17659), _u17660), hAPP(c_List_OremoveAll(_u17658, _u17661), _u17662)) = hAPP(c_List_OremoveAll(_u17659, hAPP(_u17660, _u17661)), hAPP(hAPP(c_List_Omap(_u17658, _u17659), _u17660), _u17662))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u17663), c_List_Oremdups(_u17663, _u17664))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 12.17/12.42 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(_u17665)), c_List_Oremdups(_u17665, _u17666))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17665)), _u17666))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17667), _u17668)) | ( c_List_Oremdups(_u17667, _u17668) = _u17668) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__removeAll ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17669), _u17670)) | hBOOL(hAPP(c_List_Odistinct(_u17669), hAPP(c_List_OremoveAll(_u17669, _u17671), _u17670))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u17674, _u17676) != _u17676) | hBOOL(hAPP(c_List_Odistinct(_u17674), _u17676)) )).
% 12.17/12.42 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17675), _u17677)) | ( c_List_Oremdups(_u17675, _u17677) = _u17677) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u17678), c_List_Oremdups(_u17678, _u17679)) = hAPP(c_List_Oset(_u17678), _u17679)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17682)), c_List_Oremdups(_u17682, _u17684)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17682)), _u17684)) | ( c_List_Oremdups(_u17682, _u17684) = _u17684) )).
% 12.17/12.42 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u17683, _u17685) != _u17685) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), c_List_Oremdups(_u17683, _u17685)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), _u17685)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u17686, c_List_Oremdups(_u17686, _u17687)) = c_List_Oremdups(_u17686, _u17687)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u17690, _u17692) != c_List_Olist_ONil(_u17690)) | ( _u17692 = c_List_Olist_ONil(_u17690)) )).
% 12.17/12.42 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u17693 != c_List_Olist_ONil(_u17691)) | ( c_List_Oremdups(_u17691, _u17693) = c_List_Olist_ONil(_u17691)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_removeAll_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_removeAll_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17694, _u17695), c_List_Olist_ONil(_u17694)) = c_List_Olist_ONil(_u17694)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u17698) != c_List_Oremdups(_u17698, _u17700)) | ( _u17700 = c_List_Olist_ONil(_u17698)) )).
% 12.17/12.42 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u17701 != c_List_Olist_ONil(_u17699)) | ( c_List_Olist_ONil(_u17699) = c_List_Oremdups(_u17699, _u17701)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u17702, c_List_Olist_ONil(_u17702)) = c_List_Olist_ONil(_u17702)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_removeAll_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_removeAll_Osimps_I2_J-1, axiom, ( ( _u17707 != _u17709) | ( hAPP(c_List_OremoveAll(_u17711, _u17707), hAPP(hAPP(c_List_Olist_OCons(_u17711), _u17709), _u17713)) = hAPP(c_List_OremoveAll(_u17711, _u17707), _u17713)) )).
% 12.17/12.42 cnf(fact_removeAll_Osimps_I2_J-2, axiom, ( ( _u17708 = _u17710) | ( hAPP(c_List_OremoveAll(_u17712, _u17708), hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17710), _u17714)) = hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17710), hAPP(c_List_OremoveAll(_u17712, _u17708), _u17714))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_removeAll__append ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_removeAll__append-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17715, _u17716), hAPP(hAPP(c_List_Oappend(_u17715), _u17717), _u17718)) = hAPP(hAPP(c_List_Oappend(_u17715), hAPP(c_List_OremoveAll(_u17715, _u17716), _u17717)), hAPP(c_List_OremoveAll(_u17715, _u17716), _u17718))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u17719, hAPP(hAPP(c_List_Omap(_u17720, _u17719), _u17721), c_List_Oremdups(_u17720, _u17722))) = c_List_Oremdups(_u17719, hAPP(hAPP(c_List_Omap(_u17720, _u17719), _u17721), _u17722))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17723), _u17724)) | ( c_List_Oremove1(_u17723, _u17725, c_List_Oremdups(_u17723, _u17724)) = c_List_Oremdups(_u17723, c_List_Oremove1(_u17723, _u17725, _u17724))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_removeAll__id ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_removeAll__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17726), _u17727), hAPP(c_List_Oset(_u17726), _u17728))) | ( hAPP(c_List_OremoveAll(_u17726, _u17727), _u17728) = _u17728) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__remove1__removeAll ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__remove1__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17729), _u17730)) | ( c_List_Oremove1(_u17729, _u17731, _u17730) = hAPP(c_List_OremoveAll(_u17729, _u17731), _u17730)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17735), _u17737), hAPP(c_List_Oset(_u17735), _u17739))) | ( c_List_Oremdups(_u17735, hAPP(hAPP(c_List_Olist_OCons(_u17735), _u17737), _u17739)) = c_List_Oremdups(_u17735, _u17739)) )).
% 12.17/12.42 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17736), _u17738), hAPP(c_List_Oset(_u17736), _u17740))) | ( c_List_Oremdups(_u17736, hAPP(hAPP(c_List_Olist_OCons(_u17736), _u17738), _u17740)) = hAPP(hAPP(c_List_Olist_OCons(_u17736), _u17738), c_List_Oremdups(_u17736, _u17740))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17741)), c_List_Oremdups(_u17741, _u17742)) = hAPP(c_Finite__Set_Ocard(_u17741), hAPP(c_List_Oset(_u17741), _u17742))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__removeAll__inj ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__removeAll__inj-1, axiom, ( ~c_Fun_Oinj__on(_u17743, _u17744, _u17745, c_Orderings_Otop__class_Otop(tc_fun(_u17743, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17743, _u17744), _u17745), hAPP(c_List_OremoveAll(_u17743, _u17746), _u17747)) = hAPP(c_List_OremoveAll(_u17744, hAPP(_u17745, _u17746)), hAPP(hAPP(c_List_Omap(_u17743, _u17744), _u17745), _u17747))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__removeAll ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__removeAll-1, axiom, ( ( hAPP(c_List_Oset(_u17748), hAPP(c_List_OremoveAll(_u17748, _u17749), _u17750)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17748, tc_HOL_Obool)), hAPP(c_List_Oset(_u17748), _u17750)), hAPP(hAPP(c_Set_Oinsert(_u17748), _u17749), c_Orderings_Obot__class_Obot(tc_fun(_u17748, tc_HOL_Obool))))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17751)), c_List_Oremdups(_u17751, c_List_Oconcat(_u17751, _u17752))) = hAPP(c_Finite__Set_Ocard(_u17751), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17751), tc_fun(_u17751, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17751)), _u17752)), c_List_Oset(_u17751)))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sorted__list__of__set__sort__remdups ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sorted__list__of__set__sort__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u17753) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17753, hAPP(c_List_Oset(_u17753), _u17754)) = c_List_Olinorder__class_Osort__key(_u17753, _u17753, c_COMBI(_u17753), c_List_Oremdups(_u17753, _u17754))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sort__key__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sort__key__simps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17755) | ( c_List_Olinorder__class_Osort__key(_u17756, _u17755, _u17757, c_List_Olist_ONil(_u17756)) = c_List_Olist_ONil(_u17756)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17758), tc_List_Olist(_u17758), c_List_Oappend(_u17758), _u17759), _u17760) = hAPP(hAPP(c_List_Oappend(_u17758), _u17759), c_List_Oconcat(_u17758, _u17760))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u17761, _u17762) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17761), tc_List_Olist(_u17761), c_List_Oappend(_u17761), c_List_Olist_ONil(_u17761)), _u17762)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__sort ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17763) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17764)), c_List_Olinorder__class_Osort__key(_u17764, _u17763, _u17765, _u17766)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17764)), _u17766)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__sort ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17767) | ( hAPP(c_List_Oset(_u17768), c_List_Olinorder__class_Osort__key(_u17768, _u17767, _u17769, _u17770)) = hAPP(c_List_Oset(_u17768), _u17770)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_distinct__sort ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_distinct__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17771) | ~hBOOL(hAPP(c_List_Odistinct(_u17772), c_List_Olinorder__class_Osort__key(_u17772, _u17771, _u17773, _u17774))) | hBOOL(hAPP(c_List_Odistinct(_u17772), _u17774)) )).
% 12.17/12.42 cnf(fact_distinct__sort-2, axiom, ( ~class_Orderings_Olinorder(_u17771) | ~hBOOL(hAPP(c_List_Odistinct(_u17772), _u17774)) | hBOOL(hAPP(c_List_Odistinct(_u17772), c_List_Olinorder__class_Osort__key(_u17772, _u17771, _u17773, _u17774))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u17775, c_List_Olist_ONil(tc_List_Olist(_u17775))) = c_List_Olist_ONil(_u17775)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u17776, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17776)), _u17777), _u17778)) = hAPP(hAPP(c_List_Oappend(_u17776), _u17777), c_List_Oconcat(_u17776, _u17778))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u17783, _u17785) != c_List_Olist_ONil(_u17783)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17783)), _u17779), hAPP(c_List_Oset(tc_List_Olist(_u17783)), _u17785))) | ( _u17779 = c_List_Olist_ONil(_u17783)) )).
% 12.17/12.42 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u17784, _u17786) = c_List_Olist_ONil(_u17784)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17784)), skolem439(_u17786, _u17784)), hAPP(c_List_Oset(tc_List_Olist(_u17784)), _u17786))) )).
% 12.17/12.42 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u17784, _u17786) = c_List_Olist_ONil(_u17784)) | ( skolem439(_u17786, _u17784) != c_List_Olist_ONil(_u17784)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u17791) != c_List_Oconcat(_u17791, _u17793)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17791)), _u17787), hAPP(c_List_Oset(tc_List_Olist(_u17791)), _u17793))) | ( _u17787 = c_List_Olist_ONil(_u17791)) )).
% 12.17/12.42 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u17792) = c_List_Oconcat(_u17792, _u17794)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17792)), skolem440(_u17794, _u17792)), hAPP(c_List_Oset(tc_List_Olist(_u17792)), _u17794))) )).
% 12.17/12.42 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u17792) = c_List_Oconcat(_u17792, _u17794)) | ( skolem440(_u17794, _u17792) != c_List_Olist_ONil(_u17792)) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17795, _u17796), _u17797), c_List_Oconcat(_u17795, _u17798)) = c_List_Oconcat(_u17796, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17795), tc_List_Olist(_u17796)), hAPP(c_List_Omap(_u17795, _u17796), _u17797)), _u17798))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17799)), c_List_Oconcat(_u17799, _u17800)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17799), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17799))), _u17800))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u17801), c_List_Oconcat(_u17801, _u17802)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17801), tc_fun(_u17801, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17801)), _u17802)), c_List_Oset(_u17801))) )).
% 12.17/12.42
% 12.17/12.42 % Formula: fact_sort__key__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.42 cnf(fact_sort__key__simps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17803) | ( c_List_Olinorder__class_Osort__key(_u17804, _u17803, _u17805, hAPP(hAPP(c_List_Olist_OCons(_u17804), _u17806), _u17807)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17804, _u17803, _u17805), _u17806), c_List_Olinorder__class_Osort__key(_u17804, _u17803, _u17805, _u17807))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u17808, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17808)), _u17809), _u17810)) = hAPP(hAPP(c_List_Oappend(_u17808), c_List_Oconcat(_u17808, _u17809)), c_List_Oconcat(_u17808, _u17810))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sort__foldl__insort ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sort__foldl__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17811) | ( c_List_Olinorder__class_Osort__key(_u17811, _u17811, c_COMBI(_u17811), _u17812) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17811), _u17811, hAPP(c_COMBC(_u17811, tc_List_Olist(_u17811), tc_List_Olist(_u17811)), c_List_Olinorder__class_Oinsort__key(_u17811, _u17811, c_COMBI(_u17811))), c_List_Olist_ONil(_u17811)), _u17812)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u17814, _u17815) != c_List_Oconcat(_u17814, _u17816)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17814))), _u17815) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17814))), _u17816)) | ( _u17815 = _u17816) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17814), tc_List_Olist(_u17814))), skolem441(_u17816, _u17815, _u17814)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17814), tc_List_Olist(_u17814))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17814), tc_List_Olist(_u17814)), _u17815), _u17816)))) )).
% 12.17/12.43 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u17814, _u17815) != c_List_Oconcat(_u17814, _u17816)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17814))), _u17815) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17814))), _u17816)) | ( _u17815 = _u17816) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17814), tc_List_Olist(_u17814), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17814), tc_fun(tc_List_Olist(_u17814), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17814), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17814), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17814), tc_HOL_Obool)), tc_List_Olist(_u17814)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17814))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17814)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17814))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17814)))), skolem441(_u17816, _u17815, _u17814))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17818), tc_List_Olist(_u17818))), skolem442(_u17820, _u17819, _u17818)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17818), tc_List_Olist(_u17818))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17818), tc_List_Olist(_u17818)), _u17819), _u17820)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17820)) | ( c_List_Oconcat(_u17818, _u17819) != c_List_Oconcat(_u17818, _u17820)) | ( _u17819 = _u17820) )).
% 12.17/12.43 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17818), tc_List_Olist(_u17818))), skolem442(_u17820, _u17819, _u17818)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17818), tc_List_Olist(_u17818))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17818), tc_List_Olist(_u17818)), _u17819), _u17820)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17820)) | ( _u17819 != _u17820) | ( c_List_Oconcat(_u17818, _u17819) = c_List_Oconcat(_u17818, _u17820)) )).
% 12.17/12.43 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17818), tc_List_Olist(_u17818), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17818), tc_fun(tc_List_Olist(_u17818), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17818), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool)), tc_List_Olist(_u17818)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17818))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17818)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17818))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17818)))), skolem442(_u17820, _u17819, _u17818))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17820)) | ( c_List_Oconcat(_u17818, _u17819) != c_List_Oconcat(_u17818, _u17820)) | ( _u17819 = _u17820) )).
% 12.17/12.43 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17818), tc_List_Olist(_u17818), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17818), tc_fun(tc_List_Olist(_u17818), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17818), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool)), tc_List_Olist(_u17818)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17818))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17818)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17818))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17818)))), skolem442(_u17820, _u17819, _u17818))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17820)) | ( _u17819 != _u17820) | ( c_List_Oconcat(_u17818, _u17819) = c_List_Oconcat(_u17818, _u17820)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u17821, hAPP(hAPP(c_List_Omap(_u17822, tc_List_Olist(_u17821)), hAPP(hAPP(c_COMBC(_u17822, tc_List_Olist(_u17821), tc_List_Olist(_u17821)), hAPP(hAPP(c_COMBB(_u17821, tc_fun(tc_List_Olist(_u17821), tc_List_Olist(_u17821)), _u17822), c_List_Olist_OCons(_u17821)), _u17823)), c_List_Olist_ONil(_u17821))), _u17824)) = hAPP(hAPP(c_List_Omap(_u17822, _u17821), _u17823), _u17824)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_n__lists_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_n__lists_Osimps_I2_J-1, axiom, ( ( c_Enum_On__lists(_u17825, hAPP(c_Nat_OSuc, _u17826), _u17827) = c_List_Oconcat(tc_List_Olist(_u17825), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17825), tc_List_Olist(tc_List_Olist(_u17825))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17825), tc_List_Olist(_u17825), tc_List_Olist(tc_List_Olist(_u17825))), hAPP(hAPP(c_COMBB(tc_fun(_u17825, tc_List_Olist(_u17825)), tc_fun(tc_List_Olist(_u17825), tc_List_Olist(tc_List_Olist(_u17825))), tc_List_Olist(_u17825)), c_List_Omap(_u17825, tc_List_Olist(_u17825))), hAPP(c_COMBC(_u17825, tc_List_Olist(_u17825), tc_List_Olist(_u17825)), c_List_Olist_OCons(_u17825)))), _u17827)), c_Enum_On__lists(_u17825, _u17826, _u17827)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u17828, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17828)), hAPP(hAPP(c_List_Olist_OCons(_u17828), _u17829), _u17830)), _u17831)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17828)), hAPP(hAPP(c_List_Olist_OCons(_u17828), _u17829), c_List_Oconcat(_u17828, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17828), tc_List_Olist(_u17828)), c_List_Olist_Olist__case(tc_List_Olist(_u17828), _u17828, c_List_Olist_ONil(_u17828), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17828), tc_fun(tc_List_Olist(_u17828), tc_List_Olist(_u17828)), _u17828), c_COMBK(tc_List_Olist(_u17828), tc_List_Olist(_u17828))), hAPP(hAPP(c_COMBC(_u17828, tc_List_Olist(_u17828), tc_List_Olist(_u17828)), c_List_Olist_OCons(_u17828)), c_List_Olist_ONil(_u17828))))), _u17831)))), c_List_Otranspose(_u17828, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17828)), _u17830), c_List_Oconcat(tc_List_Olist(_u17828), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17828), tc_List_Olist(tc_List_Olist(_u17828))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17828)), _u17828, c_List_Olist_ONil(tc_List_Olist(_u17828)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17828), tc_List_Olist(tc_List_Olist(_u17828))), _u17828), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17828), tc_List_Olist(tc_List_Olist(_u17828)), tc_List_Olist(tc_List_Olist(_u17828))), c_List_Olist_OCons(tc_List_Olist(_u17828))), c_List_Olist_ONil(tc_List_Olist(_u17828)))))), _u17831)))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u17832, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17832), tc_List_Olist(_u17832)), c_List_Olist_Olist__case(tc_List_Olist(_u17832), _u17832, c_List_Olist_ONil(_u17832), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17832), tc_fun(tc_List_Olist(_u17832), tc_List_Olist(_u17832)), _u17832), c_COMBK(tc_List_Olist(_u17832), tc_List_Olist(_u17832))), hAPP(hAPP(c_COMBC(_u17832, tc_List_Olist(_u17832), tc_List_Olist(_u17832)), c_List_Olist_OCons(_u17832)), c_List_Olist_ONil(_u17832))))), _u17833)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17832), _u17832), c_List_Ohd(_u17832)), hAPP(c_List_Ofilter(tc_List_Olist(_u17832), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17832)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17832), tc_List_Olist(_u17832), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17832)))), _u17833))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u17834, _u17835), c_List_Oconcat(_u17834, _u17836)) = c_List_Oconcat(_u17834, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17834), tc_List_Olist(_u17834)), c_List_Ofilter(_u17834, _u17835)), _u17836))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__sort ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17837) | ( hAPP(c_List_Ofilter(_u17838, _u17839), c_List_Olinorder__class_Osort__key(_u17838, _u17837, _u17840, _u17841)) = c_List_Olinorder__class_Osort__key(_u17838, _u17837, _u17840, hAPP(c_List_Ofilter(_u17838, _u17839), _u17841))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17842), _u17843)) | hBOOL(hAPP(c_List_Odistinct(_u17842), hAPP(c_List_Ofilter(_u17842, _u17844), _u17843))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17845, tc_HOL_Obool)), hAPP(c_List_Oset(_u17845), hAPP(c_List_Ofilter(_u17845, _u17846), _u17847))), hAPP(c_List_Oset(_u17845), _u17847))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17853, _u17855), _u17857) != _u17857) | ~hBOOL(hAPP(hAPP(c_member(_u17853), _u17848), hAPP(c_List_Oset(_u17853), _u17857))) | hBOOL(hAPP(_u17855, _u17848)) )).
% 12.17/12.43 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17854, _u17856), _u17858) = _u17858) | hBOOL(hAPP(hAPP(c_member(_u17854), skolem443(_u17858, _u17856, _u17854)), hAPP(c_List_Oset(_u17854), _u17858))) )).
% 12.17/12.43 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17854, _u17856), _u17858) = _u17858) | ~hBOOL(hAPP(_u17856, skolem443(_u17858, _u17856, _u17854))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 12.17/12.43 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(_u17859)), hAPP(c_List_Ofilter(_u17859, _u17860), _u17861))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17859)), hAPP(c_List_Ofilter(_u17859, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17859), c_fNot), _u17860)), _u17861))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17859)), _u17861)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 12.17/12.43 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(_u17862)), hAPP(c_List_Ofilter(_u17862, _u17863), _u17864))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17862)), _u17864))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17865), tc_List_Olist(_u17865)), c_List_Opartition(_u17865, _u17866, _u17867)) = hAPP(c_List_Ofilter(_u17865, _u17866), _u17867)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u17868, _u17869), hAPP(c_List_Ofilter(_u17868, _u17870), _u17871)) = hAPP(c_List_Ofilter(_u17868, hAPP(hAPP(c_COMBS(_u17868, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17868), c_fconj), _u17870)), _u17869)), _u17871)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u17872, _u17873), c_List_Oremove1(_u17872, _u17874, _u17875)) = c_List_Oremove1(_u17872, _u17874, hAPP(c_List_Ofilter(_u17872, _u17873), _u17875))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u17876, _u17877)) | ( c_List_Oremove1(_u17878, _u17877, hAPP(c_List_Ofilter(_u17878, _u17876), _u17879)) = hAPP(c_List_Ofilter(_u17878, _u17876), _u17879)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17880) | hBOOL(hAPP(_u17881, _u17882)) | ( hAPP(c_List_Ofilter(_u17883, _u17881), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17883, _u17880, _u17884), _u17882), _u17885)) = hAPP(c_List_Ofilter(_u17883, _u17881), _u17885)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u17886, _u17887), hAPP(hAPP(c_List_Omap(_u17888, _u17886), _u17889), _u17890)) = hAPP(hAPP(c_List_Omap(_u17888, _u17886), _u17889), hAPP(c_List_Ofilter(_u17888, hAPP(c_Fun_Ocomp(_u17886, tc_HOL_Obool, _u17888, _u17887), _u17889)), _u17890))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u17891, _u17892), c_List_Olist_ONil(_u17891)) = c_List_Olist_ONil(_u17891)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u17893, c_List_Olist_ONil(tc_List_Olist(_u17893))) = c_List_Olist_ONil(tc_List_Olist(_u17893))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u17898, _u17900)) | ( hAPP(c_List_Ofilter(_u17902, _u17898), hAPP(hAPP(c_List_Olist_OCons(_u17902), _u17900), _u17904)) = hAPP(hAPP(c_List_Olist_OCons(_u17902), _u17900), hAPP(c_List_Ofilter(_u17902, _u17898), _u17904))) )).
% 12.17/12.43 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u17899, _u17901)) | ( hAPP(c_List_Ofilter(_u17903, _u17899), hAPP(hAPP(c_List_Olist_OCons(_u17903), _u17901), _u17905)) = hAPP(c_List_Ofilter(_u17903, _u17899), _u17905)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u17906, _u17907), hAPP(hAPP(c_List_Oappend(_u17906), _u17908), _u17909)) = hAPP(hAPP(c_List_Oappend(_u17906), hAPP(c_List_Ofilter(_u17906, _u17907), _u17908)), hAPP(c_List_Ofilter(_u17906, _u17907), _u17909))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17915, _u17917), _u17919) != c_List_Olist_ONil(_u17915)) | ~hBOOL(hAPP(hAPP(c_member(_u17915), _u17910), hAPP(c_List_Oset(_u17915), _u17919))) | ~hBOOL(hAPP(_u17917, _u17910)) )).
% 12.17/12.43 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17916, _u17918), _u17920) = c_List_Olist_ONil(_u17916)) | hBOOL(hAPP(hAPP(c_member(_u17916), skolem444(_u17920, _u17918, _u17916)), hAPP(c_List_Oset(_u17916), _u17920))) )).
% 12.17/12.43 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17916, _u17918), _u17920) = c_List_Olist_ONil(_u17916)) | hBOOL(hAPP(_u17918, skolem444(_u17920, _u17918, _u17916))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u17921, hAPP(c_List_Ofilter(_u17921, _u17922), _u17923)) = hAPP(c_List_Ofilter(_u17921, _u17922), c_List_Oremdups(_u17921, _u17923))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_removeAll__filter__not ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_removeAll__filter__not-1, axiom, ( hBOOL(hAPP(_u17924, _u17925)) | ( hAPP(c_List_OremoveAll(_u17926, _u17925), hAPP(c_List_Ofilter(_u17926, _u17924), _u17927)) = hAPP(c_List_Ofilter(_u17926, _u17924), _u17927)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_removeAll__filter__not__eq ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_removeAll__filter__not__eq-1, axiom, ( ( c_List_OremoveAll(_u17928, _u17929) = c_List_Ofilter(_u17928, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17928), c_fNot), hAPP(c_fequal, _u17929)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17930), tc_List_Olist(_u17930)), c_List_Opartition(_u17930, _u17931, _u17932)) = hAPP(c_List_Ofilter(_u17930, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17930, c_fNot), _u17931)), _u17932)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u17933, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17933)), c_List_Olist_ONil(_u17933)), _u17934)) = c_List_Otranspose(_u17933, _u17934)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17935), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17936))), c_List_Otranspose(_u17936, _u17937)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17936)), c_List_Otranspose(_u17936, _u17937)), _u17935) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17936), _u17936), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17936), tc_Nat_Onat, _u17936), c_List_Onth(_u17936)), _u17935)), hAPP(c_List_Ofilter(tc_List_Olist(_u17936), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17936)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17935)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17936)))), _u17937))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u17938, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17939), tc_List_Olist(_u17938)), hAPP(c_List_Omap(_u17939, _u17938), _u17940)), _u17941)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17939), tc_List_Olist(_u17938)), hAPP(c_List_Omap(_u17939, _u17938), _u17940)), c_List_Otranspose(_u17939, _u17941))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u17942), hAPP(c_List_Ofilter(_u17942, _u17943), _u17944)) = hAPP(c_Set_OCollect(_u17942), hAPP(hAPP(c_COMBS(_u17942, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17942), c_fconj), hAPP(hAPP(c_COMBC(_u17942, tc_fun(_u17942, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17942)), hAPP(c_List_Oset(_u17942), _u17944)))), _u17943))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17945)), hAPP(c_List_Ofilter(_u17945, _u17946), hAPP(hAPP(c_List_Omap(_u17947, _u17945), _u17948), _u17949))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17947)), hAPP(c_List_Ofilter(_u17947, hAPP(c_Fun_Ocomp(_u17945, tc_HOL_Obool, _u17947, _u17946), _u17948)), _u17949))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17950), _u17951), hAPP(c_List_Oset(_u17950), _u17952))) | hBOOL(hAPP(_u17953, _u17951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17950)), hAPP(c_List_Ofilter(_u17950, _u17953), _u17952))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17950)), _u17952))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u17954, _u17955, _u17956) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17954), tc_List_Olist(_u17954)), hAPP(c_List_Ofilter(_u17954, _u17955), _u17956)), hAPP(c_List_Ofilter(_u17954, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17954, c_fNot), _u17955)), _u17956))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17957, tc_HOL_Obool)), hAPP(c_List_Oset(_u17957), _u17958)), hAPP(hAPP(c_Set_Oinsert(_u17957), _u17959), c_Orderings_Obot__class_Obot(tc_fun(_u17957, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u17957), hAPP(c_List_Ofilter(_u17957, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17957), c_fNot), hAPP(hAPP(c_COMBC(_u17957, _u17957, tc_HOL_Obool), c_fequal), _u17959))), _u17958))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17960), _u17961)) | ( hAPP(c_List_Ofilter(_u17960, hAPP(hAPP(c_COMBC(_u17960, tc_fun(_u17960, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17960)), hAPP(c_List_Oset(_u17960), c_List_Osublist(_u17960, _u17961, _u17962)))), _u17961) = c_List_Osublist(_u17960, _u17961, _u17962)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u17967, _u17969) != c_List_Olist_ONil(tc_List_Olist(_u17967))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17967)), _u17963), hAPP(c_List_Oset(tc_List_Olist(_u17967)), _u17969))) | ( _u17963 = c_List_Olist_ONil(_u17967)) )).
% 12.17/12.43 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u17968, _u17970) = c_List_Olist_ONil(tc_List_Olist(_u17968))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17968)), skolem445(_u17970, _u17968)), hAPP(c_List_Oset(tc_List_Olist(_u17968)), _u17970))) )).
% 12.17/12.43 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u17968, _u17970) = c_List_Olist_ONil(tc_List_Olist(_u17968))) | ( skolem445(_u17970, _u17968) != c_List_Olist_ONil(_u17968)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17971)), hAPP(c_List_Ofilter(_u17971, _u17972), _u17973)) = 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(_u17971)), _u17973)))), hAPP(hAPP(c_COMBB(_u17971, tc_HOL_Obool, tc_Nat_Onat), _u17972), hAPP(c_List_Onth(_u17971), _u17973)))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u17974), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17974), tc_List_Olist(tc_List_Olist(_u17974))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17974)), _u17974, c_List_Olist_ONil(tc_List_Olist(_u17974)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17974), tc_List_Olist(tc_List_Olist(_u17974))), _u17974), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17974), tc_List_Olist(tc_List_Olist(_u17974)), tc_List_Olist(tc_List_Olist(_u17974))), c_List_Olist_OCons(tc_List_Olist(_u17974))), c_List_Olist_ONil(tc_List_Olist(_u17974)))))), _u17975)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17974), tc_List_Olist(_u17974)), c_List_Otl(_u17974)), hAPP(c_List_Ofilter(tc_List_Olist(_u17974), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17974)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17974), tc_List_Olist(_u17974), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17974)))), _u17975))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17976)), c_List_Otranspose__rel(_u17976)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17976)), hAPP(hAPP(c_List_Olist_OCons(_u17976), _u17977), _u17978)), _u17979))) | ( c_List_Otranspose(_u17976, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17976)), hAPP(hAPP(c_List_Olist_OCons(_u17976), _u17977), _u17978)), _u17979)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17976)), hAPP(hAPP(c_List_Olist_OCons(_u17976), _u17977), c_List_Oconcat(_u17976, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17976), tc_List_Olist(_u17976)), c_List_Olist_Olist__case(tc_List_Olist(_u17976), _u17976, c_List_Olist_ONil(_u17976), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17976), tc_fun(tc_List_Olist(_u17976), tc_List_Olist(_u17976)), _u17976), c_COMBK(tc_List_Olist(_u17976), tc_List_Olist(_u17976))), hAPP(hAPP(c_COMBC(_u17976, tc_List_Olist(_u17976), tc_List_Olist(_u17976)), c_List_Olist_OCons(_u17976)), c_List_Olist_ONil(_u17976))))), _u17979)))), c_List_Otranspose(_u17976, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17976)), _u17978), c_List_Oconcat(tc_List_Olist(_u17976), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17976), tc_List_Olist(tc_List_Olist(_u17976))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17976)), _u17976, c_List_Olist_ONil(tc_List_Olist(_u17976)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17976), tc_List_Olist(tc_List_Olist(_u17976))), _u17976), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17976), tc_List_Olist(tc_List_Olist(_u17976)), tc_List_Olist(tc_List_Olist(_u17976))), c_List_Olist_OCons(tc_List_Olist(_u17976))), c_List_Olist_ONil(tc_List_Olist(_u17976)))))), _u17979)))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17980)), c_List_Otranspose__rel(_u17980)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17980)), c_List_Olist_ONil(_u17980)), _u17981))) | ( c_List_Otranspose(_u17980, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17980)), c_List_Olist_ONil(_u17980)), _u17981)) = c_List_Otranspose(_u17980, _u17981)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17982, tc_Nat_Onat), _u17982), c_Product__Type_Ofst(_u17982, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17982, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17982, tc_Nat_Onat)), _u17983), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u17982, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u17982, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u17982, tc_Nat_Onat), _u17984), _u17985))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17982, tc_Nat_Onat), _u17982), c_Product__Type_Ofst(_u17982, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17982, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17982, tc_Nat_Onat)), _u17983), c_Product__Type_Osnd(_u17982, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u17982, tc_Nat_Onat), _u17984), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u17985))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u17986, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17986), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17986, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17986, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17986)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17987)) = c_Random_Oselect__weight(_u17986, _u17987)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u17988, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17988), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17988, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17988, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17988)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17989)) = c_Random_Opick(_u17988, _u17989)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17990)), c_List_Otranspose__rel(_u17990)), c_List_Olist_ONil(tc_List_Olist(_u17990)))) | ( c_List_Otranspose(_u17990, c_List_Olist_ONil(tc_List_Olist(_u17990))) = c_List_Olist_ONil(tc_List_Olist(_u17990))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u17991), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17991)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17991))), c_List_Otranspose(_u17991, _u17992), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17991))), hAPP(c_List_Ofilter(tc_List_Olist(_u17991), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17991)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17991), tc_List_Olist(_u17991), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17991)))), _u17992))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 12.17/12.43 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(_u17993)), _u17994))), c_List_Ofoldr(tc_List_Olist(_u17995), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17995)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17995))), _u17996, 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(_u17993)), _u17994)), c_List_Ofoldr(tc_List_Olist(_u17995), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17995)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17995), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17995)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17995)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u17995), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17995)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17995), tc_List_Olist(_u17995), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17995)))), _u17996), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u17997, _u17998, _u17999, c_List_Olist_ONil(_u17997), _u18000) = _u18000) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u18001, _u18002, _u18003, hAPP(hAPP(c_List_Olist_OCons(_u18001), _u18004), _u18005), _u18006) = hAPP(hAPP(_u18003, _u18004), c_List_Ofoldr(_u18001, _u18002, _u18003, _u18005, _u18006))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u18007, _u18008, _u18009, hAPP(hAPP(c_List_Oappend(_u18007), _u18010), _u18011), _u18012) = c_List_Ofoldr(_u18007, _u18008, _u18009, _u18010, c_List_Ofoldr(_u18007, _u18008, _u18009, _u18011, _u18012))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u18013) | ( c_List_Ofoldr(_u18013, _u18013, c_Groups_Oplus__class_Oplus(_u18013), _u18014, _u18015) = hAPP(c_List_Ofoldl(_u18013, _u18013, c_Groups_Oplus__class_Oplus(_u18013), _u18015), _u18014)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u18016, _u18017, _u18018, hAPP(hAPP(c_List_Omap(_u18019, _u18016), _u18020), _u18021), _u18022) = c_List_Ofoldr(_u18019, _u18017, hAPP(c_Fun_Ocomp(_u18016, tc_fun(_u18017, _u18017), _u18019, _u18018), _u18020), _u18021, _u18022)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u18023) | ( hAPP(c_List_Ofoldl(_u18023, _u18023, c_Groups_Oplus__class_Oplus(_u18023), c_Groups_Ozero__class_Ozero(_u18023)), _u18024) = c_List_Ofoldr(_u18023, _u18023, c_Groups_Oplus__class_Oplus(_u18023), _u18024, c_Groups_Ozero__class_Ozero(_u18023))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u18025) | ( hAPP(c_List_Ofoldl(_u18025, _u18025, c_Groups_Oplus__class_Oplus(_u18025), _u18026), _u18027) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18025), _u18026), c_List_Ofoldr(_u18025, _u18025, c_Groups_Oplus__class_Oplus(_u18025), _u18027, c_Groups_Ozero__class_Ozero(_u18025)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18028))), c_List_Otranspose(_u18028, _u18029)) = c_List_Ofoldr(tc_List_Olist(_u18028), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18028)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18028))), _u18029, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u18030, _u18031, _u18032) = hAPP(hAPP(c_List_Omap(tc_prod(_u18030, tc_Nat_Onat), _u18030), c_Product__Type_Ofst(_u18030, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18030, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18030, 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(_u18030, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18030, tc_Nat_Onat))), _u18032)), hAPP(hAPP(c_List_Ozip(_u18030, tc_Nat_Onat), _u18031), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18030)), _u18031)))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18033, tc_Nat_Onat), _u18033), c_Product__Type_Ofst(_u18033, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18033, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18033, 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(_u18033, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18033, tc_Nat_Onat))), _u18034)), hAPP(hAPP(c_List_Ozip(_u18033, tc_Nat_Onat), _u18035), c_List_Oupt(_u18036, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18036), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), _u18035)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18033, tc_Nat_Onat), _u18033), c_Product__Type_Ofst(_u18033, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18033, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18033, 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(_u18033, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18033, 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(_u18033, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18033, tc_Nat_Onat))), _u18036))), _u18034)), hAPP(hAPP(c_List_Ozip(_u18033, tc_Nat_Onat), _u18035), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), _u18035)))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18037, _u18038)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18037), _u18038)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18039), _u18040) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18039, _u18040))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18041), _u18042)) | ( c_List_Oupt(_u18041, hAPP(c_Nat_OSuc, _u18042)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18041, _u18042)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18042), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18045), _u18047)) | ( c_List_Oupt(_u18045, hAPP(c_Nat_OSuc, _u18047)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18045, _u18047)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18047), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.17/12.43 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18046), _u18048)) | ( c_List_Oupt(_u18046, hAPP(c_Nat_OSuc, _u18048)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18049), _u18050)) | ( c_List_Oupt(_u18049, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18050), _u18051)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18049, _u18050)), c_List_Oupt(_u18050, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18050), _u18051)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18054), _u18056)) | ( c_List_Oupt(_u18054, _u18056) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18054), c_List_Oupt(hAPP(c_Nat_OSuc, _u18054), _u18056))) )).
% 12.17/12.43 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18055), _u18057)) | ( c_List_Oupt(_u18055, _u18057) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18058), _u18059)) | ( c_List_Oupt(_u18058, _u18059) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18058), c_List_Oupt(hAPP(c_Nat_OSuc, _u18058), _u18059))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u18062, _u18064) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18064 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), _u18062)) )).
% 12.17/12.43 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u18063, _u18065) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18065 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.43 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u18063, _u18065) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18065), _u18063)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18066), _u18067)) | ( c_List_Oupt(_u18067, _u18066) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u18068, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 12.17/12.43 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), _u18069), _u18070)), _u18071)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18070), c_List_Oupt(_u18069, _u18071)) = c_List_Oupt(_u18069, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18069), _u18070))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 12.17/12.43 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, _u18072), _u18073)) = c_List_Oupt(_u18072, _u18073)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18074), _u18075)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18074, _u18075)) = _u18074) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18076), c_List_Oupt(_u18077, _u18078)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18077), _u18076), _u18078)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18079, _u18080))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18081, _u18082)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18082), _u18081)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 12.17/12.43 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), _u18085)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18087))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18085), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18087)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18085)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18085)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18087)))) )).
% 12.17/12.43 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), _u18086)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18088))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18086), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18088)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u18093, _u18095) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18097), _u18099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18093), _u18095)) )).
% 12.17/12.43 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u18093, _u18095) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18097), _u18099)) | ( _u18093 = _u18097) )).
% 12.17/12.43 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u18093, _u18095) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18097), _u18099)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18093), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18095) = _u18099) )).
% 12.17/12.43 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18094), _u18096)) | ( _u18094 != _u18098) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18094), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18096) != _u18100) | ( c_List_Oupt(_u18094, _u18096) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18098), _u18100)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18101), _u18102)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18101, _u18102)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18102), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18103, _u18104)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18103), hAPP(c_Nat_OSuc, _u18104))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18105, _u18106) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18105, hAPP(c_Nat_OSuc, _u18106)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18107) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18107))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 12.17/12.43 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), _u18108), _u18109)), _u18110)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18108, _u18110)), _u18109) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18108), _u18109)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18111, _u18112) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18111), hAPP(c_Nat_OSuc, _u18112)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18113, _u18114) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18113), _u18114))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18115) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18115)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18116), hAPP(c_List_Onth(_u18116), _u18117)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18116)), _u18117))) = _u18117) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18118) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18118), _u18119), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18120, _u18121))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18118), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18118), _u18119), c_List_Oupt(_u18120, _u18121)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18122) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18122), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18122), _u18123), c_List_Oupt(_u18124, _u18125))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18122), _u18123), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18124, _u18125)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18126), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18127), _u18128))) | ( hAPP(hAPP(c_List_Onth(_u18129), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18129), _u18130), c_List_Oupt(_u18128, _u18127))), _u18126) = hAPP(_u18130, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18128), _u18126))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transpose__rectangle-1, axiom, ( ( _u18132 = c_List_Olist_ONil(tc_List_Olist(_u18133))) | ( c_List_Otranspose(_u18133, _u18132) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18133), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18133)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18133), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18133), tc_fun(tc_Nat_Onat, _u18133), tc_Nat_Onat), c_List_Onth(_u18133)), hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18134))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem446(_u18134, _u18133, _u18132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132))) )).
% 12.17/12.43 cnf(fact_transpose__rectangle-2, axiom, ( ( _u18132 = c_List_Olist_ONil(tc_List_Olist(_u18133))) | ( c_List_Otranspose(_u18133, _u18132) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18133), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18133)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18133), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18133), tc_fun(tc_Nat_Onat, _u18133), tc_Nat_Onat), c_List_Onth(_u18133)), hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18134))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18133)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132), skolem446(_u18134, _u18133, _u18132))) != _u18134) )).
% 12.17/12.43 cnf(fact_transpose__rectangle-3, axiom, ( ( _u18134 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18133, _u18132) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18133), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18133)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18133), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18133), tc_fun(tc_Nat_Onat, _u18133), tc_Nat_Onat), c_List_Onth(_u18133)), hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18134))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem446(_u18134, _u18133, _u18132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132))) )).
% 12.17/12.43 cnf(fact_transpose__rectangle-4, axiom, ( ( _u18134 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18133, _u18132) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18133), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18133)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18133), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18133), tc_fun(tc_Nat_Onat, _u18133), tc_Nat_Onat), c_List_Onth(_u18133)), hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18134))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18133)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132), skolem446(_u18134, _u18133, _u18132))) != _u18134) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18135) | ~hBOOL(hAPP(hAPP(c_member(_u18136), _u18137), hAPP(c_List_Oset(_u18136), _u18138))) | ~c_List_Olinorder__class_Osorted(_u18135, hAPP(hAPP(c_List_Omap(_u18136, _u18135), _u18139), _u18138)) | ( hAPP(c_List_Ohd(_u18136), hAPP(c_List_Ofilter(_u18136, hAPP(hAPP(c_COMBB(_u18135, tc_HOL_Obool, _u18136), hAPP(c_fequal, hAPP(_u18139, _u18137))), _u18139)), _u18138)) != _u18137) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18136, _u18135, _u18139), _u18137), c_List_Oremove1(_u18136, _u18137, _u18138)) = _u18138) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u18140) | c_List_Olinorder__class_Osorted(_u18140, c_List_Olist_ONil(_u18140)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u18141) | c_List_Olinorder__class_Osorted(_u18141, hAPP(hAPP(c_List_Olist_OCons(_u18141), _u18142), c_List_Olist_ONil(_u18141))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18143, _u18144)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__sort ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18145) | c_List_Olinorder__class_Osorted(_u18145, c_List_Olinorder__class_Osort__key(_u18145, _u18145, c_COMBI(_u18145), _u18146)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18147) | ~c_List_Olinorder__class_Osorted(_u18147, _u18148) | c_List_Olinorder__class_Osorted(_u18147, c_List_Olinorder__class_Oinsort__insert__key(_u18147, _u18147, c_COMBI(_u18147), _u18149, _u18148)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u18150) | ~c_List_Olinorder__class_Osorted(_u18150, _u18151) | c_List_Olinorder__class_Osorted(_u18150, hAPP(hAPP(c_List_Odrop(_u18150), _u18152), _u18151)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18153, _u18154)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u18155) | ~c_List_Olinorder__class_Osorted(_u18155, _u18156) | c_List_Olinorder__class_Osorted(_u18155, hAPP(hAPP(c_List_Otake(_u18155), _u18157), _u18156)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18158) | ~c_List_Olinorder__class_Osorted(_u18158, _u18159) | c_List_Olinorder__class_Osorted(_u18158, c_List_Oremove1(_u18158, _u18160, _u18159)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u18161) | ~c_List_Olinorder__class_Osorted(_u18161, _u18162) | c_List_Olinorder__class_Osorted(_u18161, hAPP(c_List_Otl(_u18161), _u18162)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18163) | ~c_List_Olinorder__class_Osorted(_u18163, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18163, _u18163, c_COMBI(_u18163)), _u18164), _u18165)) | c_List_Olinorder__class_Osorted(_u18163, _u18165) )).
% 12.17/12.43 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u18163) | ~c_List_Olinorder__class_Osorted(_u18163, _u18165) | c_List_Olinorder__class_Osorted(_u18163, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18163, _u18163, c_COMBI(_u18163)), _u18164), _u18165)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u18166) | ( _u18167 = c_List_Olist_ONil(_u18166)) | ~c_List_Olinorder__class_Osorted(_u18166, _u18167) | c_List_Olinorder__class_Osorted(_u18166, c_List_Obutlast(_u18166, _u18167)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18168) | c_List_Olinorder__class_Osorted(_u18168, c_List_Olist_ONil(_u18168)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u18169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18169), _u18170), _u18171)) | ~c_List_Olinorder__class_Osorted(_u18169, hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18171), _u18172)) | c_List_Olinorder__class_Osorted(_u18169, hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18170), hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18171), _u18172))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u18173) | ~c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18174), hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18173), _u18174), _u18175)) )).
% 12.17/12.43 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u18173) | ~c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18174), hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176))) | c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176)) )).
% 12.17/12.43 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u18173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18173), _u18174), _u18175)) | ~c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176)) | c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18174), hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18177) | ~c_List_Olinorder__class_Osorted(_u18177, _u18178) | c_List_Olinorder__class_Osorted(_u18177, c_List_Oremdups(_u18177, _u18178)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18179) | ~c_List_Olinorder__class_Osorted(_u18179, _u18180) | ~hBOOL(hAPP(c_List_Odistinct(_u18179), _u18180)) | ~c_List_Olinorder__class_Osorted(_u18179, _u18181) | ~hBOOL(hAPP(c_List_Odistinct(_u18179), _u18181)) | ( hAPP(c_List_Oset(_u18179), _u18180) != hAPP(c_List_Oset(_u18179), _u18181)) | ( _u18180 = _u18181) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__sort__key ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__sort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18182) | c_List_Olinorder__class_Osorted(_u18182, hAPP(hAPP(c_List_Omap(_u18183, _u18182), _u18184), c_List_Olinorder__class_Osort__key(_u18183, _u18182, _u18184, _u18185))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u18186) | ~c_List_Olinorder__class_Osorted(_u18186, hAPP(hAPP(c_List_Omap(_u18187, _u18186), _u18188), _u18189)) | c_List_Olinorder__class_Osorted(_u18186, hAPP(hAPP(c_List_Omap(_u18187, _u18186), _u18188), c_List_Olinorder__class_Oinsort__insert__key(_u18187, _u18186, _u18188, _u18190, _u18189))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18191) | ~c_List_Olinorder__class_Osorted(_u18191, hAPP(hAPP(c_List_Omap(_u18192, _u18191), _u18193), _u18194)) | c_List_Olinorder__class_Osorted(_u18191, hAPP(hAPP(c_List_Omap(_u18192, _u18191), _u18193), c_List_Oremove1(_u18192, _u18195, _u18194))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18196) | ~c_List_Olinorder__class_Osorted(_u18196, hAPP(hAPP(c_List_Omap(_u18197, _u18196), _u18198), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18197, _u18196, _u18198), _u18199), _u18200))) | c_List_Olinorder__class_Osorted(_u18196, hAPP(hAPP(c_List_Omap(_u18197, _u18196), _u18198), _u18200)) )).
% 12.17/12.43 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u18196) | ~c_List_Olinorder__class_Osorted(_u18196, hAPP(hAPP(c_List_Omap(_u18197, _u18196), _u18198), _u18200)) | c_List_Olinorder__class_Osorted(_u18196, hAPP(hAPP(c_List_Omap(_u18197, _u18196), _u18198), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18197, _u18196, _u18198), _u18199), _u18200))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u18201) | ~c_List_Olinorder__class_Osorted(_u18201, hAPP(hAPP(c_List_Omap(_u18202, _u18201), _u18203), _u18204)) | c_List_Olinorder__class_Osorted(_u18201, hAPP(hAPP(c_List_Omap(_u18202, _u18201), _u18203), hAPP(c_List_Ofilter(_u18202, _u18205), _u18204))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u18206) | c_List_Olinorder__class_Osorted(_u18206, hAPP(hAPP(c_List_Omap(_u18207, _u18206), _u18208), hAPP(c_List_Ofilter(_u18207, hAPP(hAPP(c_COMBC(_u18207, _u18206, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18206, tc_fun(_u18206, tc_HOL_Obool), _u18207), c_fequal), _u18208)), hAPP(_u18209, _u18210))), _u18210))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u18211) | c_List_Olinorder__class_Osorted(_u18211, hAPP(c_List_Ofilter(_u18211, hAPP(hAPP(c_COMBC(_u18211, _u18211, tc_HOL_Obool), c_fequal), hAPP(_u18212, _u18213))), _u18213)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18216) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), _u18218)) | c_List_Olinorder__class_Osorted(_u18216, _u18218) )).
% 12.17/12.43 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18216) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), _u18218)) | ~hBOOL(hAPP(hAPP(c_member(_u18216), _u18214), hAPP(c_List_Oset(_u18216), _u18218))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18216), _u18217), _u18214)) )).
% 12.17/12.43 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u18216) | c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), _u18218)) | ~c_List_Olinorder__class_Osorted(_u18216, _u18218) | hBOOL(hAPP(hAPP(c_member(_u18216), skolem447(_u18218, _u18217, _u18216)), hAPP(c_List_Oset(_u18216), _u18218))) )).
% 12.17/12.43 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u18216) | c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), _u18218)) | ~c_List_Olinorder__class_Osorted(_u18216, _u18218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18216), _u18217), skolem447(_u18218, _u18217, _u18216))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u18223) | ~c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | c_List_Olinorder__class_Osorted(_u18223, _u18224) )).
% 12.17/12.43 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u18223) | ~c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | c_List_Olinorder__class_Osorted(_u18223, _u18225) )).
% 12.17/12.43 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u18223) | ~c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | ~hBOOL(hAPP(hAPP(c_member(_u18223), _u18220), hAPP(c_List_Oset(_u18223), _u18224))) | ~hBOOL(hAPP(hAPP(c_member(_u18223), _u18219), hAPP(c_List_Oset(_u18223), _u18225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18223), _u18220), _u18219)) )).
% 12.17/12.43 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u18223) | c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | ~c_List_Olinorder__class_Osorted(_u18223, _u18224) | ~c_List_Olinorder__class_Osorted(_u18223, _u18225) | hBOOL(hAPP(hAPP(c_member(_u18223), skolem448(_u18225, _u18224, _u18223)), hAPP(c_List_Oset(_u18223), _u18224))) )).
% 12.17/12.43 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u18223) | c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | ~c_List_Olinorder__class_Osorted(_u18223, _u18224) | ~c_List_Olinorder__class_Osorted(_u18223, _u18225) | hBOOL(hAPP(hAPP(c_member(_u18223), skolem449(_u18225, _u18224, _u18223)), hAPP(c_List_Oset(_u18223), _u18225))) )).
% 12.17/12.43 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u18223) | c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | ~c_List_Olinorder__class_Osorted(_u18223, _u18224) | ~c_List_Olinorder__class_Osorted(_u18223, _u18225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18223), skolem448(_u18225, _u18224, _u18223)), skolem449(_u18225, _u18224, _u18223))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18226) | ~c_List_Olinorder__class_Osorted(_u18226, hAPP(hAPP(c_List_Omap(_u18227, _u18226), _u18228), _u18229)) | ~hBOOL(hAPP(_u18230, _u18231)) | ( hAPP(c_List_Ofilter(_u18227, _u18230), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18227, _u18226, _u18228), _u18231), _u18229)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18227, _u18226, _u18228), _u18231), hAPP(c_List_Ofilter(_u18227, _u18230), _u18229))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18234) | ~c_List_Olinorder__class_Osorted(_u18234, hAPP(hAPP(c_List_Olist_OCons(_u18234), _u18235), _u18236)) | ~hBOOL(hAPP(hAPP(c_member(_u18234), _u18232), hAPP(c_List_Oset(_u18234), _u18236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18234), _u18235), _u18232)) )).
% 12.17/12.43 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u18234) | ~c_List_Olinorder__class_Osorted(_u18234, hAPP(hAPP(c_List_Olist_OCons(_u18234), _u18235), _u18236)) | c_List_Olinorder__class_Osorted(_u18234, _u18236) )).
% 12.17/12.43 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u18234) | c_List_Olinorder__class_Osorted(_u18234, hAPP(hAPP(c_List_Olist_OCons(_u18234), _u18235), _u18236)) | ~c_List_Olinorder__class_Osorted(_u18234, _u18236) | hBOOL(hAPP(hAPP(c_member(_u18234), skolem450(_u18236, _u18235, _u18234)), hAPP(c_List_Oset(_u18234), _u18236))) )).
% 12.17/12.43 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u18234) | c_List_Olinorder__class_Osorted(_u18234, hAPP(hAPP(c_List_Olist_OCons(_u18234), _u18235), _u18236)) | ~c_List_Olinorder__class_Osorted(_u18234, _u18236) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18234), _u18235), skolem450(_u18236, _u18235, _u18234))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u18237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18237), _u18238)) | ( hAPP(c_List_Oset(_u18237), c_List_Olinorder__class_Osorted__list__of__set(_u18237, _u18238)) = _u18238) )).
% 12.17/12.43 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u18237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18237), _u18238)) | c_List_Olinorder__class_Osorted(_u18237, c_List_Olinorder__class_Osorted__list__of__set(_u18237, _u18238)) )).
% 12.17/12.43 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u18237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18237), _u18238)) | hBOOL(hAPP(c_List_Odistinct(_u18237), c_List_Olinorder__class_Osorted__list__of__set(_u18237, _u18238))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18239) | ~hBOOL(hAPP(hAPP(c_member(_u18239), _u18240), hAPP(c_List_Oset(_u18239), _u18241))) | ~c_List_Olinorder__class_Osorted(_u18239, _u18241) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18239, _u18239, c_COMBI(_u18239)), _u18240), c_List_Oremove1(_u18239, _u18240, _u18241)) = _u18241) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18246) | ~c_List_Olinorder__class_Osorted(_u18246, _u18247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18243), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18246)), _u18247))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18242), _u18243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18246), hAPP(hAPP(c_List_Onth(_u18246), _u18247), _u18242)), hAPP(hAPP(c_List_Onth(_u18246), _u18247), _u18243))) )).
% 12.17/12.43 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u18246) | c_List_Olinorder__class_Osorted(_u18246, _u18247) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem451(_u18247, _u18246)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18246)), _u18247))) )).
% 12.17/12.43 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u18246) | c_List_Olinorder__class_Osorted(_u18246, _u18247) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem452(_u18247, _u18246)), skolem451(_u18247, _u18246))) )).
% 12.17/12.43 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u18246) | c_List_Olinorder__class_Osorted(_u18246, _u18247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18246), hAPP(hAPP(c_List_Onth(_u18246), _u18247), skolem452(_u18247, _u18246))), hAPP(hAPP(c_List_Onth(_u18246), _u18247), skolem451(_u18247, _u18246)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18248) | ~c_List_Olinorder__class_Osorted(_u18248, _u18249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18250), _u18251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18251), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18248)), _u18249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18248), hAPP(hAPP(c_List_Onth(_u18248), _u18249), _u18250)), hAPP(hAPP(c_List_Onth(_u18248), _u18249), _u18251))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18252) | ~c_Fun_Oinj__on(_u18253, _u18252, _u18254, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18253, tc_HOL_Obool)), hAPP(c_List_Oset(_u18253), _u18255)), hAPP(c_List_Oset(_u18253), _u18256))) | ~c_List_Olinorder__class_Osorted(_u18252, hAPP(hAPP(c_List_Omap(_u18253, _u18252), _u18254), _u18255)) | ~hBOOL(hAPP(c_List_Odistinct(_u18252), hAPP(hAPP(c_List_Omap(_u18253, _u18252), _u18254), _u18255))) | ~c_List_Olinorder__class_Osorted(_u18252, hAPP(hAPP(c_List_Omap(_u18253, _u18252), _u18254), _u18256)) | ~hBOOL(hAPP(c_List_Odistinct(_u18252), hAPP(hAPP(c_List_Omap(_u18253, _u18252), _u18254), _u18256))) | ( hAPP(c_List_Oset(_u18253), _u18255) != hAPP(c_List_Oset(_u18253), _u18256)) | ( _u18255 = _u18256) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 12.17/12.43 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(_u18257), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18257))), _u18258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18259), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18257))), _u18258))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18257), _u18257), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18257), tc_Nat_Onat, _u18257), c_List_Onth(_u18257)), _u18259)), hAPP(c_List_Ofilter(tc_List_Olist(_u18257), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18257)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18259)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18257)))), c_List_Otranspose(_u18257, _u18258))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18257)), _u18258), _u18259)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 12.17/12.43 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(_u18260), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18260))), _u18261))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18262), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18260))), c_List_Otranspose(_u18260, _u18261)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18263), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18260))), hAPP(c_List_Ofilter(tc_List_Olist(_u18260), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18260)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18262)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18260)))), _u18261)))) | ( hAPP(hAPP(c_List_Onth(_u18260), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18260)), c_List_Otranspose(_u18260, _u18261)), _u18262)), _u18263) = hAPP(hAPP(c_List_Onth(_u18260), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18260)), _u18261), _u18263)), _u18262)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u18264), tc_List_Olist(_u18264), c_List_Orev(_u18264), _u18265) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18268), hAPP(c_List_Orev(_u18268), _u18270))) | hBOOL(hAPP(c_List_Odistinct(_u18268), _u18270)) )).
% 12.17/12.43 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18269), _u18271)) | hBOOL(hAPP(c_List_Odistinct(_u18269), hAPP(c_List_Orev(_u18269), _u18271))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18274), _u18276) != c_List_Olist_ONil(_u18274)) | ( _u18276 = c_List_Olist_ONil(_u18274)) )).
% 12.17/12.43 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u18277 != c_List_Olist_ONil(_u18275)) | ( hAPP(c_List_Orev(_u18275), _u18277) = c_List_Olist_ONil(_u18275)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u18280) != hAPP(c_List_Orev(_u18280), _u18282)) | ( _u18282 = c_List_Olist_ONil(_u18280)) )).
% 12.17/12.43 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u18283 != c_List_Olist_ONil(_u18281)) | ( c_List_Olist_ONil(_u18281) = hAPP(c_List_Orev(_u18281), _u18283)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u18284), c_List_Olist_ONil(_u18284)) = c_List_Olist_ONil(_u18284)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18288), _u18290), c_List_Olist_ONil(_u18288)) != hAPP(c_List_Orev(_u18288), _u18292)) | ( _u18292 = hAPP(hAPP(c_List_Olist_OCons(_u18288), _u18290), c_List_Olist_ONil(_u18288))) )).
% 12.17/12.43 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u18293 != hAPP(hAPP(c_List_Olist_OCons(_u18289), _u18291), c_List_Olist_ONil(_u18289))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18289), _u18291), c_List_Olist_ONil(_u18289)) = hAPP(c_List_Orev(_u18289), _u18293)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18297), _u18299) != hAPP(hAPP(c_List_Olist_OCons(_u18297), _u18301), c_List_Olist_ONil(_u18297))) | ( _u18299 = hAPP(hAPP(c_List_Olist_OCons(_u18297), _u18301), c_List_Olist_ONil(_u18297))) )).
% 12.17/12.43 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u18300 != hAPP(hAPP(c_List_Olist_OCons(_u18298), _u18302), c_List_Olist_ONil(_u18298))) | ( hAPP(c_List_Orev(_u18298), _u18300) = hAPP(hAPP(c_List_Olist_OCons(_u18298), _u18302), c_List_Olist_ONil(_u18298))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u18303), hAPP(hAPP(c_List_Oappend(_u18303), _u18304), _u18305)) = hAPP(hAPP(c_List_Oappend(_u18303), hAPP(c_List_Orev(_u18303), _u18305)), hAPP(c_List_Orev(_u18303), _u18304))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u18306), c_List_Oconcat(_u18306, _u18307)) = c_List_Oconcat(_u18306, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18306), tc_List_Olist(_u18306)), c_List_Orev(_u18306)), hAPP(c_List_Orev(tc_List_Olist(_u18306)), _u18307)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u18308), hAPP(hAPP(c_List_Omap(_u18309, _u18308), _u18310), _u18311)) = hAPP(hAPP(c_List_Omap(_u18309, _u18308), _u18310), hAPP(c_List_Orev(_u18309), _u18311))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u18312), hAPP(c_List_Ofilter(_u18312, _u18313), _u18314)) = hAPP(c_List_Ofilter(_u18312, _u18313), hAPP(c_List_Orev(_u18312), _u18314))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18315)), _u18316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18317)), _u18318)) | ( hAPP(hAPP(c_List_Ozip(_u18315, _u18317), hAPP(c_List_Orev(_u18315), _u18316)), hAPP(c_List_Orev(_u18317), _u18318)) = hAPP(c_List_Orev(tc_prod(_u18315, _u18317)), hAPP(hAPP(c_List_Ozip(_u18315, _u18317), _u18316), _u18318))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u18319), hAPP(c_List_Orev(_u18319), _u18320)) = hAPP(c_List_Oset(_u18319), _u18320)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all2__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all2__rev-1, axiom, ( ~c_List_Olist__all2(_u18326, _u18328, _u18330, hAPP(c_List_Orev(_u18326), _u18332), hAPP(c_List_Orev(_u18328), _u18334)) | c_List_Olist__all2(_u18326, _u18328, _u18330, _u18332, _u18334) )).
% 12.17/12.43 cnf(fact_list__all2__rev-2, axiom, ( ~c_List_Olist__all2(_u18327, _u18329, _u18331, _u18333, _u18335) | c_List_Olist__all2(_u18327, _u18329, _u18331, hAPP(c_List_Orev(_u18327), _u18333), hAPP(c_List_Orev(_u18329), _u18335)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all2__rev1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all2__rev1-1, axiom, ( ~c_List_Olist__all2(_u18341, _u18343, _u18345, hAPP(c_List_Orev(_u18341), _u18347), _u18349) | c_List_Olist__all2(_u18341, _u18343, _u18345, _u18347, hAPP(c_List_Orev(_u18343), _u18349)) )).
% 12.17/12.43 cnf(fact_list__all2__rev1-2, axiom, ( ~c_List_Olist__all2(_u18342, _u18344, _u18346, _u18348, hAPP(c_List_Orev(_u18344), _u18350)) | c_List_Olist__all2(_u18342, _u18344, _u18346, hAPP(c_List_Orev(_u18342), _u18348), _u18350) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u18351), hAPP(c_List_Orev(_u18351), _u18352)) = _u18352) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u18356), _u18358) != _u18360) | ( _u18358 = hAPP(c_List_Orev(_u18356), _u18360)) )).
% 12.17/12.43 cnf(fact_rev__swap-2, axiom, ( ( _u18359 != hAPP(c_List_Orev(_u18357), _u18361)) | ( hAPP(c_List_Orev(_u18357), _u18359) = _u18361) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u18367 = _u18369) | ( hAPP(c_List_Orev(_u18365), _u18367) != hAPP(c_List_Orev(_u18365), _u18369)) )).
% 12.17/12.43 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u18368 != _u18370) | ( hAPP(c_List_Orev(_u18366), _u18368) = hAPP(c_List_Orev(_u18366), _u18370)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18371) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18371), hAPP(c_List_Orev(_u18371), _u18372)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18371), _u18372)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), hAPP(c_List_Orev(_u18373), _u18374)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u18375, _u18376, _u18377, _u18378, _u18379) = hAPP(c_List_Ofoldl(_u18376, _u18375, hAPP(c_COMBC(_u18375, _u18376, _u18376), _u18377), _u18379), hAPP(c_List_Orev(_u18375), _u18378))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18380, _u18381, _u18382, _u18383), _u18384) = c_List_Ofoldr(_u18381, _u18380, hAPP(c_COMBC(_u18380, _u18381, _u18380), _u18382), hAPP(c_List_Orev(_u18381), _u18384), _u18383)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u18389), _u18391) != hAPP(hAPP(c_List_Olist_OCons(_u18389), _u18393), _u18395)) | ( _u18391 = hAPP(hAPP(c_List_Oappend(_u18389), hAPP(c_List_Orev(_u18389), _u18395)), hAPP(hAPP(c_List_Olist_OCons(_u18389), _u18393), c_List_Olist_ONil(_u18389)))) )).
% 12.17/12.43 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u18392 != hAPP(hAPP(c_List_Oappend(_u18390), hAPP(c_List_Orev(_u18390), _u18396)), hAPP(hAPP(c_List_Olist_OCons(_u18390), _u18394), c_List_Olist_ONil(_u18390)))) | ( hAPP(c_List_Orev(_u18390), _u18392) = hAPP(hAPP(c_List_Olist_OCons(_u18390), _u18394), _u18396)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u18397), hAPP(hAPP(c_List_Olist_OCons(_u18397), _u18398), _u18399)) = hAPP(hAPP(c_List_Oappend(_u18397), hAPP(c_List_Orev(_u18397), _u18399)), hAPP(hAPP(c_List_Olist_OCons(_u18397), _u18398), c_List_Olist_ONil(_u18397)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_hd__rev-1, axiom, ( ( _u18400 = c_List_Olist_ONil(_u18401)) | ( hAPP(c_List_Ohd(_u18401), hAPP(c_List_Orev(_u18401), _u18400)) = c_List_Olast(_u18401, _u18400)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_last__rev-1, axiom, ( ( _u18402 = c_List_Olist_ONil(_u18403)) | ( c_List_Olast(_u18403, hAPP(c_List_Orev(_u18403), _u18402)) = hAPP(c_List_Ohd(_u18403), _u18402)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 12.17/12.43 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(_u18404), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18404))), c_List_Otranspose(_u18404, _u18405)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u18406), _u18407) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18406), _u18406, hAPP(c_COMBC(_u18406, tc_List_Olist(_u18406), tc_List_Olist(_u18406)), c_List_Olist_OCons(_u18406)), c_List_Olist_ONil(_u18406)), _u18407)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u18408), hAPP(hAPP(c_List_Odrop(_u18408), _u18409), _u18410)) = hAPP(hAPP(c_List_Otake(_u18408), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18408)), _u18410)), _u18409)), hAPP(c_List_Orev(_u18408), _u18410))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u18411), hAPP(hAPP(c_List_Otake(_u18411), _u18412), _u18413)) = hAPP(hAPP(c_List_Odrop(_u18411), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18411)), _u18413)), _u18412)), hAPP(c_List_Orev(_u18411), _u18413))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u18414, _u18415), hAPP(c_List_Orev(_u18414), _u18416)) = hAPP(c_List_Orev(_u18414), hAPP(c_List_Orotate(_u18414, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18414)), _u18416)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18415, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18414)), _u18416)))), _u18416))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18417), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18418)), _u18419))) | ( hAPP(hAPP(c_List_Onth(_u18418), hAPP(c_List_Orev(_u18418), _u18419)), _u18417) = hAPP(hAPP(c_List_Onth(_u18418), _u18419), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18418)), _u18419)), hAPP(c_Nat_OSuc, _u18417)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18420), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18421)), _u18422))) | ( hAPP(c_List_Orev(_u18421), hAPP(hAPP(c_List_Olist__update(_u18421, _u18422), _u18420), _u18423)) = hAPP(hAPP(c_List_Olist__update(_u18421, hAPP(c_List_Orev(_u18421), _u18422)), 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(_u18421)), _u18422)), _u18420)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18423)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18424) | ~c_List_Olinorder__class_Osorted(_u18424, hAPP(c_List_Orev(_u18424), _u18425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18426), _u18427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18427), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18424)), _u18425))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18424), hAPP(hAPP(c_List_Onth(_u18424), _u18425), _u18427)), hAPP(hAPP(c_List_Onth(_u18424), _u18425), _u18426))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u18428) | ~c_List_Olinorder__class_Osorted(_u18428, hAPP(c_List_Orev(_u18428), _u18429)) | ( _u18429 != c_List_Olist_ONil(_u18428)) | ( c_List_Ofoldr(_u18428, _u18428, c_Orderings_Oord__class_Omax(_u18428), _u18429, _u18430) = _u18430) )).
% 12.17/12.43 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u18428) | ~c_List_Olinorder__class_Osorted(_u18428, hAPP(c_List_Orev(_u18428), _u18429)) | ( _u18429 = c_List_Olist_ONil(_u18428)) | ( c_List_Ofoldr(_u18428, _u18428, c_Orderings_Oord__class_Omax(_u18428), _u18429, _u18430) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18428), hAPP(hAPP(c_List_Onth(_u18428), _u18429), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18430)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 12.17/12.43 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(_u18431), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18431))), _u18432))) | ( _u18432 != c_List_Olist_ONil(tc_List_Olist(_u18431))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18431))), c_List_Otranspose(_u18431, _u18432)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.43 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(_u18431), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18431))), _u18432))) | ( _u18432 = c_List_Olist_ONil(tc_List_Olist(_u18431))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18431))), c_List_Otranspose(_u18431, _u18432)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18431)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18431)), _u18432), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 12.17/12.43 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(_u18433), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18433))), _u18434))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18435), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18433))), _u18434))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18433))), hAPP(c_List_Ofilter(tc_List_Olist(_u18433), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18433)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18435)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18433)))), c_List_Otranspose(_u18433, _u18434))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18433)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18433)), _u18434), _u18435))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 12.17/12.43 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(_u18436), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18436))), _u18437))) | ( c_List_Otranspose(_u18436, c_List_Otranspose(_u18436, _u18437)) = c_List_OtakeWhile(tc_List_Olist(_u18436), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18436)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18436), tc_List_Olist(_u18436), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18436))), _u18437)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 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))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18438) | ~c_List_Olinorder__class_Osorted(_u18438, _u18439) | c_List_Olinorder__class_Osorted(_u18438, c_List_OtakeWhile(_u18438, _u18440, _u18439)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 12.17/12.43 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(_u18441)), c_List_OtakeWhile(_u18441, _u18442, _u18443))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18441)), _u18443))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18444), _u18445), hAPP(c_List_Oset(_u18444), c_List_OtakeWhile(_u18444, _u18446, _u18447)))) | hBOOL(hAPP(hAPP(c_member(_u18444), _u18445), hAPP(c_List_Oset(_u18444), _u18447))) )).
% 12.17/12.43 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18444), _u18445), hAPP(c_List_Oset(_u18444), c_List_OtakeWhile(_u18444, _u18446, _u18447)))) | hBOOL(hAPP(_u18446, _u18445)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u18453, _u18455, _u18457) != _u18457) | ~hBOOL(hAPP(hAPP(c_member(_u18453), _u18448), hAPP(c_List_Oset(_u18453), _u18457))) | hBOOL(hAPP(_u18455, _u18448)) )).
% 12.17/12.43 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u18454, _u18456, _u18458) = _u18458) | hBOOL(hAPP(hAPP(c_member(_u18454), skolem453(_u18458, _u18456, _u18454)), hAPP(c_List_Oset(_u18454), _u18458))) )).
% 12.17/12.43 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u18454, _u18456, _u18458) = _u18458) | ~hBOOL(hAPP(_u18456, skolem453(_u18458, _u18456, _u18454))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18459, _u18460), _u18461), c_List_OtakeWhile(_u18460, _u18462, _u18463)) = c_List_OtakeWhile(tc_prod(_u18459, _u18460), hAPP(c_Fun_Ocomp(_u18460, tc_HOL_Obool, tc_prod(_u18459, _u18460), _u18462), c_Product__Type_Osnd(_u18459, _u18460)), hAPP(hAPP(c_List_Ozip(_u18459, _u18460), _u18461), _u18463))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18464, _u18465), c_List_OtakeWhile(_u18464, _u18466, _u18467)), _u18468) = c_List_OtakeWhile(tc_prod(_u18464, _u18465), hAPP(c_Fun_Ocomp(_u18464, tc_HOL_Obool, tc_prod(_u18464, _u18465), _u18466), c_Product__Type_Ofst(_u18464, _u18465)), hAPP(hAPP(c_List_Ozip(_u18464, _u18465), _u18467), _u18468))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u18469, _u18470, hAPP(hAPP(c_List_Omap(_u18471, _u18469), _u18472), _u18473)) = hAPP(hAPP(c_List_Omap(_u18471, _u18469), _u18472), c_List_OtakeWhile(_u18471, hAPP(c_Fun_Ocomp(_u18469, tc_HOL_Obool, _u18471, _u18470), _u18472), _u18473))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u18474, _u18475)) | ( c_List_OtakeWhile(_u18476, _u18474, hAPP(hAPP(c_List_Oappend(_u18476), _u18477), hAPP(hAPP(c_List_Olist_OCons(_u18476), _u18475), _u18478))) = c_List_OtakeWhile(_u18476, _u18474, _u18477)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18483, _u18485)) | ( c_List_OtakeWhile(_u18487, _u18483, hAPP(hAPP(c_List_Olist_OCons(_u18487), _u18485), _u18489)) = hAPP(hAPP(c_List_Olist_OCons(_u18487), _u18485), c_List_OtakeWhile(_u18487, _u18483, _u18489))) )).
% 12.17/12.43 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18484, _u18486)) | ( c_List_OtakeWhile(_u18488, _u18484, hAPP(hAPP(c_List_Olist_OCons(_u18488), _u18486), _u18490)) = c_List_Olist_ONil(_u18488)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u18491, _u18492, c_List_Olist_ONil(_u18491)) = c_List_Olist_ONil(_u18491)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u18493, _u18494, _u18495) = hAPP(hAPP(c_List_Otake(_u18493), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18493)), c_List_OtakeWhile(_u18493, _u18494, _u18495))), _u18495)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18496), _u18497)) | hBOOL(hAPP(c_List_Odistinct(_u18496), c_List_OtakeWhile(_u18496, _u18498, _u18497))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u18499) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18499)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18500), _u18501), hAPP(c_List_Oset(_u18500), _u18502))) | hBOOL(hAPP(_u18503, _u18501)) | ( c_List_OtakeWhile(_u18500, _u18503, hAPP(hAPP(c_List_Oappend(_u18500), _u18502), _u18504)) = c_List_OtakeWhile(_u18500, _u18503, _u18502)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18505), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18506)), c_List_OtakeWhile(_u18506, _u18507, _u18508)))) | ( hAPP(hAPP(c_List_Onth(_u18506), c_List_OtakeWhile(_u18506, _u18507, _u18508)), _u18505) = hAPP(hAPP(c_List_Onth(_u18506), _u18508), _u18505)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 12.17/12.43 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(_u18509)), c_List_OtakeWhile(_u18509, _u18510, _u18511))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18509)), _u18511))) | ~hBOOL(hAPP(_u18510, hAPP(hAPP(c_List_Onth(_u18509), _u18511), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18509)), c_List_OtakeWhile(_u18509, _u18510, _u18511))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u18512 = c_List_Olist_ONil(_u18513)) | ~hBOOL(hAPP(c_List_Odistinct(_u18513), _u18512)) | ( c_List_OtakeWhile(_u18513, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18513), c_fNot), hAPP(hAPP(c_COMBC(_u18513, _u18513, tc_HOL_Obool), c_fequal), c_List_Olast(_u18513, _u18512))), _u18512) = c_List_Obutlast(_u18513, _u18512)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u18514) | ~c_List_Olinorder__class_Osorted(_u18514, hAPP(c_List_Orev(_u18514), hAPP(hAPP(c_List_Omap(_u18515, _u18514), _u18516), _u18517))) | ( hAPP(c_List_Ofilter(_u18515, hAPP(hAPP(c_COMBB(_u18514, tc_HOL_Obool, _u18515), hAPP(c_Orderings_Oord__class_Oless(_u18514), _u18518)), _u18516)), _u18517) = c_List_OtakeWhile(_u18515, hAPP(hAPP(c_COMBB(_u18514, tc_HOL_Obool, _u18515), hAPP(c_Orderings_Oord__class_Oless(_u18514), _u18518)), _u18516), _u18517)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u18519) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18519)) = _u18519) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18520), _u18521) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18520)), c_List_Oembed__list(_u18521)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u18522) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18522)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18523), _u18524)) | ~hBOOL(hAPP(hAPP(c_member(_u18523), _u18525), hAPP(c_List_Oset(_u18523), _u18524))) | ( c_List_OtakeWhile(_u18523, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18523), c_fNot), hAPP(hAPP(c_COMBC(_u18523, _u18523, tc_HOL_Obool), c_fequal), _u18525)), hAPP(c_List_Orev(_u18523), _u18524)) = hAPP(c_List_Orev(_u18523), hAPP(c_List_Otl(_u18523), c_List_OdropWhile(_u18523, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18523), c_fNot), hAPP(hAPP(c_COMBC(_u18523, _u18523, tc_HOL_Obool), c_fequal), _u18525)), _u18524)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18526), _u18527)) | ~hBOOL(hAPP(hAPP(c_member(_u18526), _u18528), hAPP(c_List_Oset(_u18526), _u18527))) | ( c_List_OdropWhile(_u18526, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18526), c_fNot), hAPP(hAPP(c_COMBC(_u18526, _u18526, tc_HOL_Obool), c_fequal), _u18528)), hAPP(c_List_Orev(_u18526), _u18527)) = hAPP(hAPP(c_List_Olist_OCons(_u18526), _u18528), hAPP(c_List_Orev(_u18526), c_List_OtakeWhile(_u18526, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18526), c_fNot), hAPP(hAPP(c_COMBC(_u18526, _u18526, tc_HOL_Obool), c_fequal), _u18528)), _u18527)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18529), c_List_OtakeWhile(_u18529, _u18530, _u18531)), c_List_OdropWhile(_u18529, _u18530, _u18531)) = _u18531) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u18532, _u18533, _u18534) = c_List_Olist_ONil(_u18532)) | ~hBOOL(hAPP(_u18533, hAPP(c_List_Ohd(_u18532), c_List_OdropWhile(_u18532, _u18533, _u18534)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18535) | ~c_List_Olinorder__class_Osorted(_u18535, _u18536) | c_List_Olinorder__class_Osorted(_u18535, c_List_OdropWhile(_u18535, _u18537, _u18536)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 12.17/12.43 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(_u18538)), c_List_OdropWhile(_u18538, _u18539, _u18540))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18538)), _u18540))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile__eq__Nil__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile__eq__Nil__conv-1, axiom, ( ( c_List_OdropWhile(_u18546, _u18548, _u18550) != c_List_Olist_ONil(_u18546)) | ~hBOOL(hAPP(hAPP(c_member(_u18546), _u18541), hAPP(c_List_Oset(_u18546), _u18550))) | hBOOL(hAPP(_u18548, _u18541)) )).
% 12.17/12.43 cnf(fact_dropWhile__eq__Nil__conv-2, axiom, ( ( c_List_OdropWhile(_u18547, _u18549, _u18551) = c_List_Olist_ONil(_u18547)) | hBOOL(hAPP(hAPP(c_member(_u18547), skolem454(_u18551, _u18549, _u18547)), hAPP(c_List_Oset(_u18547), _u18551))) )).
% 12.17/12.43 cnf(fact_dropWhile__eq__Nil__conv-3, axiom, ( ( c_List_OdropWhile(_u18547, _u18549, _u18551) = c_List_Olist_ONil(_u18547)) | ~hBOOL(hAPP(_u18549, skolem454(_u18551, _u18549, _u18547))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18556, _u18558)) | ( c_List_OdropWhile(_u18560, _u18556, hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18558), _u18562)) = c_List_OdropWhile(_u18560, _u18556, _u18562)) )).
% 12.17/12.43 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18557, _u18559)) | ( c_List_OdropWhile(_u18561, _u18557, hAPP(hAPP(c_List_Olist_OCons(_u18561), _u18559), _u18563)) = hAPP(hAPP(c_List_Olist_OCons(_u18561), _u18559), _u18563)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u18564, _u18565, c_List_Olist_ONil(_u18564)) = c_List_Olist_ONil(_u18564)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18566), _u18567)) | hBOOL(hAPP(c_List_Odistinct(_u18566), c_List_OdropWhile(_u18566, _u18568, _u18567))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u18569, _u18570, hAPP(hAPP(c_List_Omap(_u18571, _u18569), _u18572), _u18573)) = hAPP(hAPP(c_List_Omap(_u18571, _u18569), _u18572), c_List_OdropWhile(_u18571, hAPP(c_Fun_Ocomp(_u18569, tc_HOL_Obool, _u18571, _u18570), _u18572), _u18573))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile__append1 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18574), _u18575), hAPP(c_List_Oset(_u18574), _u18576))) | hBOOL(hAPP(_u18577, _u18575)) | ( c_List_OdropWhile(_u18574, _u18577, hAPP(hAPP(c_List_Oappend(_u18574), _u18576), _u18578)) = hAPP(hAPP(c_List_Oappend(_u18574), c_List_OdropWhile(_u18574, _u18577, _u18576)), _u18578)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile__eq__Cons__conv ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile__eq__Cons__conv-1, axiom, ( ( c_List_OdropWhile(_u18584, _u18586, _u18588) != hAPP(hAPP(c_List_Olist_OCons(_u18584), _u18590), _u18592)) | ( _u18588 = hAPP(hAPP(c_List_Oappend(_u18584), c_List_OtakeWhile(_u18584, _u18586, _u18588)), hAPP(hAPP(c_List_Olist_OCons(_u18584), _u18590), _u18592))) )).
% 12.17/12.43 cnf(fact_dropWhile__eq__Cons__conv-2, axiom, ( ( c_List_OdropWhile(_u18584, _u18586, _u18588) != hAPP(hAPP(c_List_Olist_OCons(_u18584), _u18590), _u18592)) | ~hBOOL(hAPP(_u18586, _u18590)) )).
% 12.17/12.43 cnf(fact_dropWhile__eq__Cons__conv-3, axiom, ( ( _u18589 != hAPP(hAPP(c_List_Oappend(_u18585), c_List_OtakeWhile(_u18585, _u18587, _u18589)), hAPP(hAPP(c_List_Olist_OCons(_u18585), _u18591), _u18593))) | hBOOL(hAPP(_u18587, _u18591)) | ( c_List_OdropWhile(_u18585, _u18587, _u18589) = hAPP(hAPP(c_List_Olist_OCons(_u18585), _u18591), _u18593)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile__eq__drop ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile__eq__drop-1, axiom, ( ( c_List_OdropWhile(_u18594, _u18595, _u18596) = hAPP(hAPP(c_List_Odrop(_u18594), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18594)), c_List_OtakeWhile(_u18594, _u18595, _u18596))), _u18596)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile__nth ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18597), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), c_List_OdropWhile(_u18598, _u18599, _u18600)))) | ( hAPP(hAPP(c_List_Onth(_u18598), c_List_OdropWhile(_u18598, _u18599, _u18600)), _u18597) = hAPP(hAPP(c_List_Onth(_u18598), _u18600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18597), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), c_List_OtakeWhile(_u18598, _u18599, _u18600))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_listsum__map__filter ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_listsum__map__filter-1, axiom, ( ~class_Groups_Omonoid__add(_u18602) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), hAPP(c_List_Ofilter(_u18603, _u18605), _u18604))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), _u18604))) | hBOOL(hAPP(hAPP(c_member(_u18603), skolem455(_u18606, _u18605, _u18604, _u18603, _u18602)), hAPP(c_List_Oset(_u18603), _u18604))) )).
% 12.17/12.43 cnf(fact_listsum__map__filter-2, axiom, ( ~class_Groups_Omonoid__add(_u18602) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), hAPP(c_List_Ofilter(_u18603, _u18605), _u18604))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), _u18604))) | ~hBOOL(hAPP(_u18605, skolem455(_u18606, _u18605, _u18604, _u18603, _u18602))) )).
% 12.17/12.43 cnf(fact_listsum__map__filter-3, axiom, ( ~class_Groups_Omonoid__add(_u18602) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), hAPP(c_List_Ofilter(_u18603, _u18605), _u18604))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), _u18604))) | ( hAPP(_u18606, skolem455(_u18606, _u18605, _u18604, _u18603, _u18602)) != c_Groups_Ozero__class_Ozero(_u18602)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted__nth__monoI ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted__nth__monoI-1, axiom, ( ~class_Orderings_Olinorder(_u18609) | c_List_Olinorder__class_Osorted(_u18609, _u18610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem456(_u18610, _u18609)), skolem457(_u18610, _u18609))) )).
% 12.17/12.43 cnf(fact_sorted__nth__monoI-2, axiom, ( ~class_Orderings_Olinorder(_u18609) | c_List_Olinorder__class_Osorted(_u18609, _u18610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem457(_u18610, _u18609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18609)), _u18610))) )).
% 12.17/12.43 cnf(fact_sorted__nth__monoI-3, axiom, ( ~class_Orderings_Olinorder(_u18609) | c_List_Olinorder__class_Osorted(_u18609, _u18610) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18609), hAPP(hAPP(c_List_Onth(_u18609), _u18610), skolem456(_u18610, _u18609))), hAPP(hAPP(c_List_Onth(_u18609), _u18610), skolem457(_u18610, _u18609)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__eq__filter ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__eq__filter-1, axiom, ( ( c_List_OtakeWhile(_u18612, _u18613, _u18614) = hAPP(c_List_Ofilter(_u18612, _u18613), _u18614)) | hBOOL(hAPP(hAPP(c_member(_u18612), skolem458(_u18614, _u18613, _u18612)), hAPP(c_List_Oset(_u18612), c_List_OdropWhile(_u18612, _u18613, _u18614)))) )).
% 12.17/12.43 cnf(fact_takeWhile__eq__filter-2, axiom, ( ( c_List_OtakeWhile(_u18612, _u18613, _u18614) = hAPP(c_List_Ofilter(_u18612, _u18613), _u18614)) | hBOOL(hAPP(_u18613, skolem458(_u18614, _u18613, _u18612))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__eq__take__P__nth ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__eq__take__P__nth-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem459(_u18619, _u18618, _u18617, _u18616)), _u18616)) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) )).
% 12.17/12.43 cnf(fact_takeWhile__eq__take__P__nth-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem459(_u18619, _u18618, _u18617, _u18616)), _u18616)) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), _u18616))) )).
% 12.17/12.43 cnf(fact_takeWhile__eq__take__P__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem459(_u18619, _u18618, _u18617, _u18616)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) )).
% 12.17/12.43 cnf(fact_takeWhile__eq__take__P__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem459(_u18619, _u18618, _u18617, _u18616)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), _u18616))) )).
% 12.17/12.43 cnf(fact_takeWhile__eq__take__P__nth-5, axiom, ( ~hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), skolem459(_u18619, _u18618, _u18617, _u18616)))) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) )).
% 12.17/12.43 cnf(fact_takeWhile__eq__take__P__nth-6, axiom, ( ~hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), skolem459(_u18619, _u18618, _u18617, _u18616)))) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), _u18616))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__takeWhile__less__P__nth ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_length__takeWhile__less__P__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18623)), _u18624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18623)), c_List_OtakeWhile(_u18623, _u18622, _u18624)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem460(_u18624, _u18623, _u18622, _u18621)), _u18621)) )).
% 12.17/12.43 cnf(fact_length__takeWhile__less__P__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18623)), _u18624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18623)), c_List_OtakeWhile(_u18623, _u18622, _u18624)))) | ~hBOOL(hAPP(_u18622, hAPP(hAPP(c_List_Onth(_u18623), _u18624), skolem460(_u18624, _u18623, _u18622, _u18621)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted_Osimps ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted_Osimps-1, axiom, ( ~class_Orderings_Olinorder(_u18631) | ~c_List_Olinorder__class_Osorted(_u18631, _u18632) | ( _u18632 = c_List_Olist_ONil(_u18631)) | c_List_Olinorder__class_Osorted(_u18631, skolem461(_u18632, _u18631)) )).
% 12.17/12.43 cnf(fact_sorted_Osimps-2, axiom, ( ~class_Orderings_Olinorder(_u18631) | ~c_List_Olinorder__class_Osorted(_u18631, _u18632) | ( _u18632 = c_List_Olist_ONil(_u18631)) | ( _u18632 = hAPP(hAPP(c_List_Olist_OCons(_u18631), skolem462(_u18632, _u18631)), skolem461(_u18632, _u18631))) )).
% 12.17/12.43 cnf(fact_sorted_Osimps-3, axiom, ( ~class_Orderings_Olinorder(_u18631) | ~c_List_Olinorder__class_Osorted(_u18631, _u18632) | ( _u18632 = c_List_Olist_ONil(_u18631)) | ~hBOOL(hAPP(hAPP(c_member(_u18631), _u18625), hAPP(c_List_Oset(_u18631), skolem461(_u18632, _u18631)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18631), skolem462(_u18632, _u18631)), _u18625)) )).
% 12.17/12.43 cnf(fact_sorted_Osimps-4, axiom, ( ~class_Orderings_Olinorder(_u18631) | c_List_Olinorder__class_Osorted(_u18631, _u18632) | ( _u18632 != c_List_Olist_ONil(_u18631)) )).
% 12.17/12.43 cnf(fact_sorted_Osimps-5, axiom, ( ~class_Orderings_Olinorder(_u18631) | c_List_Olinorder__class_Osorted(_u18631, _u18632) | ~c_List_Olinorder__class_Osorted(_u18631, _u18630) | ( _u18632 != hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18629), _u18630)) | hBOOL(hAPP(hAPP(c_member(_u18631), skolem463(_u18632, _u18631, _u18630, _u18629)), hAPP(c_List_Oset(_u18631), _u18630))) )).
% 12.17/12.43 cnf(fact_sorted_Osimps-6, axiom, ( ~class_Orderings_Olinorder(_u18631) | c_List_Olinorder__class_Osorted(_u18631, _u18632) | ~c_List_Olinorder__class_Osorted(_u18631, _u18630) | ( _u18632 != hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18629), _u18630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18631), _u18629), skolem463(_u18632, _u18631, _u18630, _u18629))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_List_Oinsert__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_List_Oinsert__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18636), _u18638), hAPP(c_List_Oset(_u18636), _u18640))) | ( c_List_Oinsert(_u18636, _u18638, _u18640) = _u18640) )).
% 12.17/12.43 cnf(fact_List_Oinsert__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18637), _u18639), hAPP(c_List_Oset(_u18637), _u18641))) | ( c_List_Oinsert(_u18637, _u18639, _u18641) = hAPP(hAPP(c_List_Olist_OCons(_u18637), _u18639), _u18641)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_not__in__set__insert ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_not__in__set__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18642), _u18643), hAPP(c_List_Oset(_u18642), _u18644))) | ( c_List_Oinsert(_u18642, _u18643, _u18644) = hAPP(hAPP(c_List_Olist_OCons(_u18642), _u18643), _u18644)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_insert__remdups ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_insert__remdups-1, axiom, ( ( c_List_Oinsert(_u18645, _u18646, c_List_Oremdups(_u18645, _u18647)) = c_List_Oremdups(_u18645, c_List_Oinsert(_u18645, _u18646, _u18647))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_distinct__insert ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_distinct__insert-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18648), _u18649)) | hBOOL(hAPP(c_List_Odistinct(_u18648), c_List_Oinsert(_u18648, _u18650, _u18649))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_in__set__insert ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_in__set__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18651), _u18652), hAPP(c_List_Oset(_u18651), _u18653))) | ( c_List_Oinsert(_u18651, _u18652, _u18653) = _u18653) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_List_Oset__insert ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_List_Oset__insert-1, axiom, ( ( hAPP(c_List_Oset(_u18654), c_List_Oinsert(_u18654, _u18655, _u18656)) = hAPP(hAPP(c_Set_Oinsert(_u18654), _u18655), hAPP(c_List_Oset(_u18654), _u18656))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_insert__Nil ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_insert__Nil-1, axiom, ( ( c_List_Oinsert(_u18657, _u18658, c_List_Olist_ONil(_u18657)) = hAPP(hAPP(c_List_Olist_OCons(_u18657), _u18658), c_List_Olist_ONil(_u18657))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_maps__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_maps__def-1, axiom, ( ( c_List_Omaps(_u18659, _u18660, _u18661, _u18662) = c_List_Oconcat(_u18660, hAPP(hAPP(c_List_Omap(_u18659, tc_List_Olist(_u18660)), _u18661), _u18662))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_concat__map__maps ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_concat__map__maps-1, axiom, ( ( c_List_Oconcat(_u18663, hAPP(hAPP(c_List_Omap(_u18664, tc_List_Olist(_u18663)), _u18665), _u18666)) = c_List_Omaps(_u18664, _u18663, _u18665, _u18666)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_maps__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_maps__simps_I2_J-1, axiom, ( ( c_List_Omaps(_u18667, _u18668, _u18669, c_List_Olist_ONil(_u18667)) = c_List_Olist_ONil(_u18668)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_maps__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_maps__simps_I1_J-1, axiom, ( ( c_List_Omaps(_u18670, _u18671, _u18672, hAPP(hAPP(c_List_Olist_OCons(_u18670), _u18673), _u18674)) = hAPP(hAPP(c_List_Oappend(_u18671), hAPP(_u18672, _u18673)), c_List_Omaps(_u18670, _u18671, _u18672, _u18674))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_distinct__concat ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_distinct__concat-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem464(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem465(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) )).
% 12.17/12.43 cnf(fact_distinct__concat-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem464(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem466(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) )).
% 12.17/12.43 cnf(fact_distinct__concat-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem464(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | ( skolem465(_u18679, _u18678) != skolem466(_u18679, _u18678)) )).
% 12.17/12.43 cnf(fact_distinct__concat-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem464(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18678, tc_HOL_Obool)), hAPP(c_List_Oset(_u18678), skolem465(_u18679, _u18678))), hAPP(c_List_Oset(_u18678), skolem466(_u18679, _u18678))) != c_Orderings_Obot__class_Obot(tc_fun(_u18678, tc_HOL_Obool))) )).
% 12.17/12.43 cnf(fact_distinct__concat-5, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | ~hBOOL(hAPP(c_List_Odistinct(_u18678), skolem464(_u18679, _u18678))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem465(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) )).
% 12.17/12.43 cnf(fact_distinct__concat-6, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | ~hBOOL(hAPP(c_List_Odistinct(_u18678), skolem464(_u18679, _u18678))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem466(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) )).
% 12.17/12.43 cnf(fact_distinct__concat-7, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | ~hBOOL(hAPP(c_List_Odistinct(_u18678), skolem464(_u18679, _u18678))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | ( skolem465(_u18679, _u18678) != skolem466(_u18679, _u18678)) )).
% 12.17/12.43 cnf(fact_distinct__concat-8, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | ~hBOOL(hAPP(c_List_Odistinct(_u18678), skolem464(_u18679, _u18678))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18678, tc_HOL_Obool)), hAPP(c_List_Oset(_u18678), skolem465(_u18679, _u18678))), hAPP(c_List_Oset(_u18678), skolem466(_u18679, _u18678))) != c_Orderings_Obot__class_Obot(tc_fun(_u18678, tc_HOL_Obool))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_measures__lesseq ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_measures__lesseq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18680, _u18681)), hAPP(_u18680, _u18682))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18683, _u18683)), hAPP(hAPP(c_Product__Type_OPair(_u18683, _u18683), _u18681), _u18682)), c_List_Omeasures(_u18683, _u18684))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18683, _u18683)), hAPP(hAPP(c_Product__Type_OPair(_u18683, _u18683), _u18681), _u18682)), c_List_Omeasures(_u18683, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18683, tc_Nat_Onat)), _u18680), _u18684)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_wf__measures ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_wf__measures-1, axiom, ( c_Wellfounded_Owf(_u18685, c_List_Omeasures(_u18685, _u18686)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_in__measures_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_in__measures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18687, _u18687)), hAPP(hAPP(c_Product__Type_OPair(_u18687, _u18687), _u18688), _u18689)), c_List_Omeasures(_u18687, c_List_Olist_ONil(tc_fun(_u18687, tc_Nat_Onat))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_measures__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_measures__def-1, axiom, ( ( c_List_Omeasures(_u18690, _u18691) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18690), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18690, tc_List_Olist(tc_fun(_u18690, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18690, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18690, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18690), c_List_Omap(tc_fun(_u18690, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18690, tc_Nat_Onat), _u18690, tc_Nat_Onat), c_COMBI(tc_fun(_u18690, tc_Nat_Onat))))), _u18691))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_in__measures_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_in__measures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18697, _u18697)), hAPP(hAPP(c_Product__Type_OPair(_u18697, _u18697), _u18699), _u18701)), c_List_Omeasures(_u18697, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18697, tc_Nat_Onat)), _u18703), _u18705)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18703, _u18699)), hAPP(_u18703, _u18701))) | ( hAPP(_u18703, _u18699) = hAPP(_u18703, _u18701)) )).
% 12.17/12.43 cnf(fact_in__measures_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18697, _u18697)), hAPP(hAPP(c_Product__Type_OPair(_u18697, _u18697), _u18699), _u18701)), c_List_Omeasures(_u18697, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18697, tc_Nat_Onat)), _u18703), _u18705)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18703, _u18699)), hAPP(_u18703, _u18701))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18697, _u18697)), hAPP(hAPP(c_Product__Type_OPair(_u18697, _u18697), _u18699), _u18701)), c_List_Omeasures(_u18697, _u18705))) )).
% 12.17/12.43 cnf(fact_in__measures_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18698, _u18698)), hAPP(hAPP(c_Product__Type_OPair(_u18698, _u18698), _u18700), _u18702)), c_List_Omeasures(_u18698, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18698, tc_Nat_Onat)), _u18704), _u18706)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18704, _u18700)), hAPP(_u18704, _u18702))) )).
% 12.17/12.43 cnf(fact_in__measures_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18698, _u18698)), hAPP(hAPP(c_Product__Type_OPair(_u18698, _u18698), _u18700), _u18702)), c_List_Omeasures(_u18698, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18698, tc_Nat_Onat)), _u18704), _u18706)))) | ( hAPP(_u18704, _u18700) != hAPP(_u18704, _u18702)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18698, _u18698)), hAPP(hAPP(c_Product__Type_OPair(_u18698, _u18698), _u18700), _u18702)), c_List_Omeasures(_u18698, _u18706))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_measures__less ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_measures__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18707, _u18708)), hAPP(_u18707, _u18709))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18710, _u18710)), hAPP(hAPP(c_Product__Type_OPair(_u18710, _u18710), _u18708), _u18709)), c_List_Omeasures(_u18710, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18710, tc_Nat_Onat)), _u18707), _u18711)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_foldl__apply ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_foldl__apply-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18715, _u18713, hAPP(c_COMBC(_u18713, _u18715, _u18715), _u18717), hAPP(_u18718, _u18720)), _u18714) = hAPP(_u18718, hAPP(c_List_Ofoldl(_u18716, _u18713, hAPP(c_COMBC(_u18713, _u18716, _u18716), _u18719), _u18720), _u18714))) | hBOOL(hAPP(hAPP(c_member(_u18713), skolem467(_u18720, _u18719, _u18718, _u18717, _u18716, _u18715, _u18714, _u18713)), hAPP(c_List_Oset(_u18713), _u18714))) )).
% 12.17/12.43 cnf(fact_foldl__apply-2, axiom, ( ( hAPP(c_List_Ofoldl(_u18715, _u18713, hAPP(c_COMBC(_u18713, _u18715, _u18715), _u18717), hAPP(_u18718, _u18720)), _u18714) = hAPP(_u18718, hAPP(c_List_Ofoldl(_u18716, _u18713, hAPP(c_COMBC(_u18713, _u18716, _u18716), _u18719), _u18720), _u18714))) | ( hAPP(c_Fun_Ocomp(_u18715, _u18715, _u18716, hAPP(_u18717, skolem467(_u18720, _u18719, _u18718, _u18717, _u18716, _u18715, _u18714, _u18713))), _u18718) != hAPP(c_Fun_Ocomp(_u18716, _u18715, _u18716, _u18718), hAPP(_u18719, skolem467(_u18720, _u18719, _u18718, _u18717, _u18716, _u18715, _u18714, _u18713)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_order__fun_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_order__fun_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u18721) | ~class_Enum_Oenum(_u18722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18722, _u18721)), _u18723), _u18724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18722, _u18721)), _u18723), _u18724)) )).
% 12.17/12.43 cnf(fact_order__fun_I2_J-2, axiom, ( ~class_Orderings_Oorder(_u18721) | ~class_Enum_Oenum(_u18722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18722, _u18721)), _u18723), _u18724)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18722), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18722), c_fNot), hAPP(hAPP(c_COMBS(_u18722, _u18721, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18721, tc_fun(_u18721, tc_HOL_Obool), _u18722), c_fequal), _u18723)), _u18724)))) )).
% 12.17/12.43 cnf(fact_order__fun_I2_J-3, axiom, ( ~class_Orderings_Oorder(_u18721) | ~class_Enum_Oenum(_u18722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18722, _u18721)), _u18723), _u18724)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18722), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18722), c_fNot), hAPP(hAPP(c_COMBS(_u18722, _u18721, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18721, tc_fun(_u18721, tc_HOL_Obool), _u18722), c_fequal), _u18723)), _u18724)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18722, _u18721)), _u18723), _u18724)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_enum__ex__prod__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_enum__ex__prod__def-1, axiom, ( ~class_Enum_Oenum(_u18725) | ~class_Enum_Oenum(_u18726) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18726, _u18725)), _u18727)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18726), hAPP(hAPP(c_COMBB(tc_fun(_u18725, tc_HOL_Obool), tc_HOL_Obool, _u18726), c_Enum_Oenum__class_Oenum__ex(_u18725)), hAPP(hAPP(c_COMBB(tc_fun(_u18725, tc_prod(_u18726, _u18725)), tc_fun(_u18725, tc_HOL_Obool), _u18726), hAPP(c_COMBB(tc_prod(_u18726, _u18725), tc_HOL_Obool, _u18725), _u18727)), c_Product__Type_OPair(_u18726, _u18725))))) )).
% 12.17/12.43 cnf(fact_enum__ex__prod__def-2, axiom, ( ~class_Enum_Oenum(_u18725) | ~class_Enum_Oenum(_u18726) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18726), hAPP(hAPP(c_COMBB(tc_fun(_u18725, tc_HOL_Obool), tc_HOL_Obool, _u18726), c_Enum_Oenum__class_Oenum__ex(_u18725)), hAPP(hAPP(c_COMBB(tc_fun(_u18725, tc_prod(_u18726, _u18725)), tc_fun(_u18725, tc_HOL_Obool), _u18726), hAPP(c_COMBB(tc_prod(_u18726, _u18725), tc_HOL_Obool, _u18725), _u18727)), c_Product__Type_OPair(_u18726, _u18725))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18726, _u18725)), _u18727)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_enum__ex ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_enum__ex-1, axiom, ( ~class_Enum_Oenum(_u18730) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18730), _u18731)) | hBOOL(hAPP(_u18731, skolem468(_u18731, _u18730))) )).
% 12.17/12.43 cnf(fact_enum__ex-2, axiom, ( ~class_Enum_Oenum(_u18730) | ~hBOOL(hAPP(_u18731, _u18729)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18730), _u18731)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_exists__code ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_exists__code-1, axiom, ( ~class_Enum_Oenum(_u18734) | ~hBOOL(hAPP(_u18735, _u18732)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18734), _u18735)) )).
% 12.17/12.43 cnf(fact_exists__code-2, axiom, ( ~class_Enum_Oenum(_u18734) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18734), _u18735)) | hBOOL(hAPP(_u18735, skolem469(_u18735, _u18734))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_zip__obtain__same__length ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_zip__obtain__same__length-1, axiom, ( hBOOL(hAPP(_u18740, hAPP(hAPP(c_List_Ozip(_u18736, _u18738), _u18737), _u18739))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), hAPP(hAPP(c_List_Otake(_u18736), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), _u18739))), _u18737)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), hAPP(hAPP(c_List_Otake(_u18738), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), _u18739))), _u18739))) )).
% 12.17/12.43 cnf(fact_zip__obtain__same__length-2, axiom, ( hBOOL(hAPP(_u18740, hAPP(hAPP(c_List_Ozip(_u18736, _u18738), _u18737), _u18739))) | ~hBOOL(hAPP(_u18740, hAPP(hAPP(c_List_Ozip(_u18736, _u18738), hAPP(hAPP(c_List_Otake(_u18736), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), _u18739))), _u18737)), hAPP(hAPP(c_List_Otake(_u18738), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), _u18739))), _u18739)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18741, _u18742, _u18743, _u18744) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18741, _u18742), _u18743), _u18744))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_dropWhile__append2 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_dropWhile__append2-1, axiom, ( ( c_List_OdropWhile(_u18746, _u18748, hAPP(hAPP(c_List_Oappend(_u18746), _u18747), _u18749)) = c_List_OdropWhile(_u18746, _u18748, _u18749)) | hBOOL(hAPP(hAPP(c_member(_u18746), skolem470(_u18749, _u18748, _u18747, _u18746)), hAPP(c_List_Oset(_u18746), _u18747))) )).
% 12.17/12.43 cnf(fact_dropWhile__append2-2, axiom, ( ( c_List_OdropWhile(_u18746, _u18748, hAPP(hAPP(c_List_Oappend(_u18746), _u18747), _u18749)) = c_List_OdropWhile(_u18746, _u18748, _u18749)) | ~hBOOL(hAPP(_u18748, skolem470(_u18749, _u18748, _u18747, _u18746))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all2__all__nthI ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all2__all__nthI-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18751)), _u18752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18753)), _u18754)) | c_List_Olist__all2(_u18751, _u18753, _u18755, _u18752, _u18754) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem471(_u18755, _u18754, _u18753, _u18752, _u18751)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18751)), _u18752))) )).
% 12.17/12.43 cnf(fact_list__all2__all__nthI-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18751)), _u18752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18753)), _u18754)) | c_List_Olist__all2(_u18751, _u18753, _u18755, _u18752, _u18754) | ~hBOOL(hAPP(hAPP(_u18755, hAPP(hAPP(c_List_Onth(_u18751), _u18752), skolem471(_u18755, _u18754, _u18753, _u18752, _u18751))), hAPP(hAPP(c_List_Onth(_u18753), _u18754), skolem471(_u18755, _u18754, _u18753, _u18752, _u18751)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_finite__sorted__distinct__unique ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_finite__sorted__distinct__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18758), _u18759)) | ( hAPP(c_List_Oset(_u18758), skolem472(_u18759, _u18758)) = _u18759) )).
% 12.17/12.43 cnf(fact_finite__sorted__distinct__unique-2, axiom, ( ~class_Orderings_Olinorder(_u18758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18758), _u18759)) | c_List_Olinorder__class_Osorted(_u18758, skolem472(_u18759, _u18758)) )).
% 12.17/12.43 cnf(fact_finite__sorted__distinct__unique-3, axiom, ( ~class_Orderings_Olinorder(_u18758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18758), _u18759)) | hBOOL(hAPP(c_List_Odistinct(_u18758), skolem472(_u18759, _u18758))) )).
% 12.17/12.43 cnf(fact_finite__sorted__distinct__unique-4, axiom, ( ~class_Orderings_Olinorder(_u18758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18758), _u18759)) | ( hAPP(c_List_Oset(_u18758), _u18756) != _u18759) | ~c_List_Olinorder__class_Osorted(_u18758, _u18756) | ~hBOOL(hAPP(c_List_Odistinct(_u18758), _u18756)) | ( _u18756 = skolem472(_u18759, _u18758)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_takeWhile__append2 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_takeWhile__append2-1, axiom, ( ( c_List_OtakeWhile(_u18761, _u18763, hAPP(hAPP(c_List_Oappend(_u18761), _u18762), _u18764)) = hAPP(hAPP(c_List_Oappend(_u18761), _u18762), c_List_OtakeWhile(_u18761, _u18763, _u18764))) | hBOOL(hAPP(hAPP(c_member(_u18761), skolem473(_u18764, _u18763, _u18762, _u18761)), hAPP(c_List_Oset(_u18761), _u18762))) )).
% 12.17/12.43 cnf(fact_takeWhile__append2-2, axiom, ( ( c_List_OtakeWhile(_u18761, _u18763, hAPP(hAPP(c_List_Oappend(_u18761), _u18762), _u18764)) = hAPP(hAPP(c_List_Oappend(_u18761), _u18762), c_List_OtakeWhile(_u18761, _u18763, _u18764))) | ~hBOOL(hAPP(_u18763, skolem473(_u18764, _u18763, _u18762, _u18761))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_insort__is__Cons ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_insort__is__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18766) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18767, _u18766, _u18769), _u18770), _u18768) = hAPP(hAPP(c_List_Olist_OCons(_u18767), _u18770), _u18768)) | hBOOL(hAPP(hAPP(c_member(_u18767), skolem474(_u18770, _u18769, _u18768, _u18767, _u18766)), hAPP(c_List_Oset(_u18767), _u18768))) )).
% 12.17/12.43 cnf(fact_insort__is__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18766) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18767, _u18766, _u18769), _u18770), _u18768) = hAPP(hAPP(c_List_Olist_OCons(_u18767), _u18770), _u18768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18766), hAPP(_u18769, _u18770)), hAPP(_u18769, skolem474(_u18770, _u18769, _u18768, _u18767, _u18766)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_Cons__eq__filter__iff ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_Cons__eq__filter__iff-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), _u18786) != hAPP(c_List_Ofilter(_u18782, _u18788), _u18790)) | hBOOL(hAPP(_u18788, _u18784)) )).
% 12.17/12.43 cnf(fact_Cons__eq__filter__iff-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), _u18786) != hAPP(c_List_Ofilter(_u18782, _u18788), _u18790)) | ~hBOOL(hAPP(hAPP(c_member(_u18782), _u18771), hAPP(c_List_Oset(_u18782), skolem475(_u18790, _u18788, _u18786, _u18784, _u18782)))) | ~hBOOL(hAPP(_u18788, _u18771)) )).
% 12.17/12.43 cnf(fact_Cons__eq__filter__iff-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), _u18786) != hAPP(c_List_Ofilter(_u18782, _u18788), _u18790)) | ( _u18790 = hAPP(hAPP(c_List_Oappend(_u18782), skolem475(_u18790, _u18788, _u18786, _u18784, _u18782)), hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), skolem476(_u18790, _u18788, _u18786, _u18784, _u18782)))) )).
% 12.17/12.43 cnf(fact_Cons__eq__filter__iff-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), _u18786) != hAPP(c_List_Ofilter(_u18782, _u18788), _u18790)) | ( _u18786 = hAPP(c_List_Ofilter(_u18782, _u18788), skolem476(_u18790, _u18788, _u18786, _u18784, _u18782))) )).
% 12.17/12.43 cnf(fact_Cons__eq__filter__iff-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), _u18787) = hAPP(c_List_Ofilter(_u18783, _u18789), _u18791)) | ~hBOOL(hAPP(_u18789, _u18785)) | ( _u18791 != hAPP(hAPP(c_List_Oappend(_u18783), _u18776), hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), _u18775))) | ( _u18787 != hAPP(c_List_Ofilter(_u18783, _u18789), _u18775)) | hBOOL(hAPP(hAPP(c_member(_u18783), skolem477(_u18791, _u18789, _u18787, _u18785, _u18783, _u18776)), hAPP(c_List_Oset(_u18783), _u18776))) )).
% 12.17/12.43 cnf(fact_Cons__eq__filter__iff-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), _u18787) = hAPP(c_List_Ofilter(_u18783, _u18789), _u18791)) | ~hBOOL(hAPP(_u18789, _u18785)) | ( _u18791 != hAPP(hAPP(c_List_Oappend(_u18783), _u18776), hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), _u18775))) | ( _u18787 != hAPP(c_List_Ofilter(_u18783, _u18789), _u18775)) | hBOOL(hAPP(_u18789, skolem477(_u18791, _u18789, _u18787, _u18785, _u18783, _u18776))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__eq__Cons__iff ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Ofilter(_u18803, _u18805), _u18807) != hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811)) | hBOOL(hAPP(_u18805, _u18809)) )).
% 12.17/12.43 cnf(fact_filter__eq__Cons__iff-2, axiom, ( ( hAPP(c_List_Ofilter(_u18803, _u18805), _u18807) != hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811)) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18792), hAPP(c_List_Oset(_u18803), skolem478(_u18811, _u18809, _u18807, _u18805, _u18803)))) | ~hBOOL(hAPP(_u18805, _u18792)) )).
% 12.17/12.43 cnf(fact_filter__eq__Cons__iff-3, axiom, ( ( hAPP(c_List_Ofilter(_u18803, _u18805), _u18807) != hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811)) | ( _u18807 = hAPP(hAPP(c_List_Oappend(_u18803), skolem478(_u18811, _u18809, _u18807, _u18805, _u18803)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), skolem479(_u18811, _u18809, _u18807, _u18805, _u18803)))) )).
% 12.17/12.43 cnf(fact_filter__eq__Cons__iff-4, axiom, ( ( hAPP(c_List_Ofilter(_u18803, _u18805), _u18807) != hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811)) | ( _u18811 = hAPP(c_List_Ofilter(_u18803, _u18805), skolem479(_u18811, _u18809, _u18807, _u18805, _u18803))) )).
% 12.17/12.43 cnf(fact_filter__eq__Cons__iff-5, axiom, ( ( hAPP(c_List_Ofilter(_u18804, _u18806), _u18808) = hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18812)) | ~hBOOL(hAPP(_u18806, _u18810)) | ( _u18808 != hAPP(hAPP(c_List_Oappend(_u18804), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18796))) | ( _u18812 != hAPP(c_List_Ofilter(_u18804, _u18806), _u18796)) | hBOOL(hAPP(hAPP(c_member(_u18804), skolem480(_u18812, _u18810, _u18808, _u18806, _u18804, _u18797)), hAPP(c_List_Oset(_u18804), _u18797))) )).
% 12.17/12.43 cnf(fact_filter__eq__Cons__iff-6, axiom, ( ( hAPP(c_List_Ofilter(_u18804, _u18806), _u18808) = hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18812)) | ~hBOOL(hAPP(_u18806, _u18810)) | ( _u18808 != hAPP(hAPP(c_List_Oappend(_u18804), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18796))) | ( _u18812 != hAPP(c_List_Ofilter(_u18804, _u18806), _u18796)) | hBOOL(hAPP(_u18806, skolem480(_u18812, _u18810, _u18808, _u18806, _u18804, _u18797))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_order__fun_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_order__fun_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u18813) | ~class_Enum_Oenum(_u18814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18814, _u18813)), _u18815), _u18816)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18814), hAPP(hAPP(c_COMBS(_u18814, _u18813, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18813, tc_fun(_u18813, tc_HOL_Obool), _u18814), c_Orderings_Oord__class_Oless__eq(_u18813)), _u18815)), _u18816))) )).
% 12.17/12.43 cnf(fact_order__fun_I1_J-2, axiom, ( ~class_Orderings_Oorder(_u18813) | ~class_Enum_Oenum(_u18814) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18814), hAPP(hAPP(c_COMBS(_u18814, _u18813, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18813, tc_fun(_u18813, tc_HOL_Obool), _u18814), c_Orderings_Oord__class_Oless__eq(_u18813)), _u18815)), _u18816))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18814, _u18813)), _u18815), _u18816)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_all__code ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_all__code-1, axiom, ( ~class_Enum_Oenum(_u18819) | ~hBOOL(hAPP(_u18820, skolem481(_u18820, _u18819))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18819), _u18820)) )).
% 12.17/12.43 cnf(fact_all__code-2, axiom, ( ~class_Enum_Oenum(_u18819) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18819), _u18820)) | hBOOL(hAPP(_u18820, _u18818)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_enum__all ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_enum__all-1, axiom, ( ~class_Enum_Oenum(_u18823) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18823), _u18824)) | hBOOL(hAPP(_u18824, _u18821)) )).
% 12.17/12.43 cnf(fact_enum__all-2, axiom, ( ~class_Enum_Oenum(_u18823) | ~hBOOL(hAPP(_u18824, skolem482(_u18824, _u18823))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18823), _u18824)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_enum__all__prod__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_enum__all__prod__def-1, axiom, ( ~class_Enum_Oenum(_u18825) | ~class_Enum_Oenum(_u18826) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18826, _u18825)), _u18827)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18826), hAPP(hAPP(c_COMBB(tc_fun(_u18825, tc_HOL_Obool), tc_HOL_Obool, _u18826), c_Enum_Oenum__class_Oenum__all(_u18825)), hAPP(hAPP(c_COMBB(tc_fun(_u18825, tc_prod(_u18826, _u18825)), tc_fun(_u18825, tc_HOL_Obool), _u18826), hAPP(c_COMBB(tc_prod(_u18826, _u18825), tc_HOL_Obool, _u18825), _u18827)), c_Product__Type_OPair(_u18826, _u18825))))) )).
% 12.17/12.43 cnf(fact_enum__all__prod__def-2, axiom, ( ~class_Enum_Oenum(_u18825) | ~class_Enum_Oenum(_u18826) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18826), hAPP(hAPP(c_COMBB(tc_fun(_u18825, tc_HOL_Obool), tc_HOL_Obool, _u18826), c_Enum_Oenum__class_Oenum__all(_u18825)), hAPP(hAPP(c_COMBB(tc_fun(_u18825, tc_prod(_u18826, _u18825)), tc_fun(_u18825, tc_HOL_Obool), _u18826), hAPP(c_COMBB(tc_prod(_u18826, _u18825), tc_HOL_Obool, _u18825), _u18827)), c_Product__Type_OPair(_u18826, _u18825))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18826, _u18825)), _u18827)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ball__nth ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ball__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18829), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18830)), _u18831))) | hBOOL(hAPP(_u18832, hAPP(hAPP(c_List_Onth(_u18830), _u18831), _u18829))) | hBOOL(hAPP(hAPP(c_member(_u18830), skolem483(_u18832, _u18831, _u18830, _u18829)), hAPP(c_List_Oset(_u18830), _u18831))) )).
% 12.17/12.43 cnf(fact_list__ball__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18829), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18830)), _u18831))) | hBOOL(hAPP(_u18832, hAPP(hAPP(c_List_Onth(_u18830), _u18831), _u18829))) | ~hBOOL(hAPP(_u18832, skolem483(_u18832, _u18831, _u18830, _u18829))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_sorted_OCons ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_sorted_OCons-1, axiom, ( ~class_Orderings_Olinorder(_u18834) | ~c_List_Olinorder__class_Osorted(_u18834, _u18835) | c_List_Olinorder__class_Osorted(_u18834, hAPP(hAPP(c_List_Olist_OCons(_u18834), _u18836), _u18835)) | hBOOL(hAPP(hAPP(c_member(_u18834), skolem484(_u18836, _u18835, _u18834)), hAPP(c_List_Oset(_u18834), _u18835))) )).
% 12.17/12.43 cnf(fact_sorted_OCons-2, axiom, ( ~class_Orderings_Olinorder(_u18834) | ~c_List_Olinorder__class_Osorted(_u18834, _u18835) | c_List_Olinorder__class_Osorted(_u18834, hAPP(hAPP(c_List_Olist_OCons(_u18834), _u18836), _u18835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18834), _u18836), skolem484(_u18836, _u18835, _u18834))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex__length ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex__length-1, axiom, ( ~c_List_Olist__ex(_u18842, _u18844, _u18846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u18846, _u18844, _u18842)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18842)), _u18846))) )).
% 12.17/12.43 cnf(fact_list__ex__length-2, axiom, ( ~c_List_Olist__ex(_u18842, _u18844, _u18846) | hBOOL(hAPP(_u18844, hAPP(hAPP(c_List_Onth(_u18842), _u18846), skolem485(_u18846, _u18844, _u18842)))) )).
% 12.17/12.43 cnf(fact_list__ex__length-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18843)), _u18847))) | ~hBOOL(hAPP(_u18845, hAPP(hAPP(c_List_Onth(_u18843), _u18847), _u18838))) | c_List_Olist__ex(_u18843, _u18845, _u18847) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_in__set__conv__decomp ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_in__set__conv__decomp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18855), _u18857), hAPP(c_List_Oset(_u18855), _u18859))) | ( _u18859 = hAPP(hAPP(c_List_Oappend(_u18855), skolem486(_u18859, _u18857, _u18855)), hAPP(hAPP(c_List_Olist_OCons(_u18855), _u18857), skolem487(_u18859, _u18857, _u18855)))) )).
% 12.17/12.43 cnf(fact_in__set__conv__decomp-2, axiom, ( ( _u18860 != hAPP(hAPP(c_List_Oappend(_u18856), _u18851), hAPP(hAPP(c_List_Olist_OCons(_u18856), _u18858), _u18850))) | hBOOL(hAPP(hAPP(c_member(_u18856), _u18858), hAPP(c_List_Oset(_u18856), _u18860))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex__simps_I2_J-1, axiom, ( ~c_List_Olist__ex(_u18861, _u18862, c_List_Olist_ONil(_u18861)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex__append ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex__append-1, axiom, ( ~c_List_Olist__ex(_u18867, _u18869, hAPP(hAPP(c_List_Oappend(_u18867), _u18871), _u18873)) | c_List_Olist__ex(_u18867, _u18869, _u18871) | c_List_Olist__ex(_u18867, _u18869, _u18873) )).
% 12.17/12.43 cnf(fact_list__ex__append-2, axiom, ( c_List_Olist__ex(_u18868, _u18870, hAPP(hAPP(c_List_Oappend(_u18868), _u18872), _u18874)) | ~c_List_Olist__ex(_u18868, _u18870, _u18872) )).
% 12.17/12.43 cnf(fact_list__ex__append-3, axiom, ( c_List_Olist__ex(_u18868, _u18870, hAPP(hAPP(c_List_Oappend(_u18868), _u18872), _u18874)) | ~c_List_Olist__ex(_u18868, _u18870, _u18874) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex__iff ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex__iff-1, axiom, ( ~c_List_Olist__ex(_u18880, _u18882, _u18884) | hBOOL(hAPP(hAPP(c_member(_u18880), skolem488(_u18884, _u18882, _u18880)), hAPP(c_List_Oset(_u18880), _u18884))) )).
% 12.17/12.43 cnf(fact_list__ex__iff-2, axiom, ( ~c_List_Olist__ex(_u18880, _u18882, _u18884) | hBOOL(hAPP(_u18882, skolem488(_u18884, _u18882, _u18880))) )).
% 12.17/12.43 cnf(fact_list__ex__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18881), _u18876), hAPP(c_List_Oset(_u18881), _u18885))) | ~hBOOL(hAPP(_u18883, _u18876)) | c_List_Olist__ex(_u18881, _u18883, _u18885) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex__rev-1, axiom, ( ~c_List_Olist__ex(_u18889, _u18891, hAPP(c_List_Orev(_u18889), _u18893)) | c_List_Olist__ex(_u18889, _u18891, _u18893) )).
% 12.17/12.43 cnf(fact_list__ex__rev-2, axiom, ( ~c_List_Olist__ex(_u18890, _u18892, _u18894) | c_List_Olist__ex(_u18890, _u18892, hAPP(c_List_Orev(_u18890), _u18894)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex__simps_I1_J-1, axiom, ( ~c_List_Olist__ex(_u18899, _u18901, hAPP(hAPP(c_List_Olist_OCons(_u18899), _u18903), _u18905)) | hBOOL(hAPP(_u18901, _u18903)) | c_List_Olist__ex(_u18899, _u18901, _u18905) )).
% 12.17/12.43 cnf(fact_list__ex__simps_I1_J-2, axiom, ( c_List_Olist__ex(_u18900, _u18902, hAPP(hAPP(c_List_Olist_OCons(_u18900), _u18904), _u18906)) | ~hBOOL(hAPP(_u18902, _u18904)) )).
% 12.17/12.43 cnf(fact_list__ex__simps_I1_J-3, axiom, ( c_List_Olist__ex(_u18900, _u18902, hAPP(hAPP(c_List_Olist_OCons(_u18900), _u18904), _u18906)) | ~c_List_Olist__ex(_u18900, _u18902, _u18906) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_in__set__conv__decomp__first ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_in__set__conv__decomp__first-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18914), _u18916), hAPP(c_List_Oset(_u18914), _u18918))) | ( _u18918 = hAPP(hAPP(c_List_Oappend(_u18914), skolem489(_u18918, _u18916, _u18914)), hAPP(hAPP(c_List_Olist_OCons(_u18914), _u18916), skolem490(_u18918, _u18916, _u18914)))) )).
% 12.17/12.43 cnf(fact_in__set__conv__decomp__first-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18914), _u18916), hAPP(c_List_Oset(_u18914), _u18918))) | ~hBOOL(hAPP(hAPP(c_member(_u18914), _u18916), hAPP(c_List_Oset(_u18914), skolem489(_u18918, _u18916, _u18914)))) )).
% 12.17/12.43 cnf(fact_in__set__conv__decomp__first-3, axiom, ( ( _u18919 != hAPP(hAPP(c_List_Oappend(_u18915), _u18910), hAPP(hAPP(c_List_Olist_OCons(_u18915), _u18917), _u18909))) | hBOOL(hAPP(hAPP(c_member(_u18915), _u18917), hAPP(c_List_Oset(_u18915), _u18910))) | hBOOL(hAPP(hAPP(c_member(_u18915), _u18917), hAPP(c_List_Oset(_u18915), _u18919))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_in__set__conv__decomp__last ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_in__set__conv__decomp__last-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18927), _u18929), hAPP(c_List_Oset(_u18927), _u18931))) | ( _u18931 = hAPP(hAPP(c_List_Oappend(_u18927), skolem491(_u18931, _u18929, _u18927)), hAPP(hAPP(c_List_Olist_OCons(_u18927), _u18929), skolem492(_u18931, _u18929, _u18927)))) )).
% 12.17/12.43 cnf(fact_in__set__conv__decomp__last-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18927), _u18929), hAPP(c_List_Oset(_u18927), _u18931))) | ~hBOOL(hAPP(hAPP(c_member(_u18927), _u18929), hAPP(c_List_Oset(_u18927), skolem492(_u18931, _u18929, _u18927)))) )).
% 12.17/12.43 cnf(fact_in__set__conv__decomp__last-3, axiom, ( ( _u18932 != hAPP(hAPP(c_List_Oappend(_u18928), _u18923), hAPP(hAPP(c_List_Olist_OCons(_u18928), _u18930), _u18922))) | hBOOL(hAPP(hAPP(c_member(_u18928), _u18930), hAPP(c_List_Oset(_u18928), _u18922))) | hBOOL(hAPP(hAPP(c_member(_u18928), _u18930), hAPP(c_List_Oset(_u18928), _u18932))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all__length ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all__length-1, axiom, ( ~c_List_Olist__all(_u18938, _u18940, _u18942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18933), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18938)), _u18942))) | hBOOL(hAPP(_u18940, hAPP(hAPP(c_List_Onth(_u18938), _u18942), _u18933))) )).
% 12.17/12.43 cnf(fact_list__all__length-2, axiom, ( c_List_Olist__all(_u18939, _u18941, _u18943) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem493(_u18943, _u18941, _u18939)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18939)), _u18943))) )).
% 12.17/12.43 cnf(fact_list__all__length-3, axiom, ( c_List_Olist__all(_u18939, _u18941, _u18943) | ~hBOOL(hAPP(_u18941, hAPP(hAPP(c_List_Onth(_u18939), _u18943), skolem493(_u18943, _u18941, _u18939)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_measure__function__int ( axiom ) converted to clauses:
% 12.17/12.43 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))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all__simps_I2_J-1, axiom, ( c_List_Olist__all(_u18944, _u18945, c_List_Olist_ONil(_u18944)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all__append ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all__append-1, axiom, ( ~c_List_Olist__all(_u18950, _u18952, hAPP(hAPP(c_List_Oappend(_u18950), _u18954), _u18956)) | c_List_Olist__all(_u18950, _u18952, _u18954) )).
% 12.17/12.43 cnf(fact_list__all__append-2, axiom, ( ~c_List_Olist__all(_u18950, _u18952, hAPP(hAPP(c_List_Oappend(_u18950), _u18954), _u18956)) | c_List_Olist__all(_u18950, _u18952, _u18956) )).
% 12.17/12.43 cnf(fact_list__all__append-3, axiom, ( ~c_List_Olist__all(_u18951, _u18953, _u18955) | ~c_List_Olist__all(_u18951, _u18953, _u18957) | c_List_Olist__all(_u18951, _u18953, hAPP(hAPP(c_List_Oappend(_u18951), _u18955), _u18957)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_measure__size ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_measure__size-1, axiom, ( ~class_Nat_Osize(_u18958) | c_FunDef_Ois__measure(_u18958, c_Nat_Osize__class_Osize(_u18958)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_is__measure_Osimps ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_is__measure_Osimps-1, axiom, ( c_FunDef_Ois__measure(_u18959, _u18960) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_is__measure_Oequations ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_is__measure_Oequations-1, axiom, ( c_FunDef_Ois__measure(_u18961, _u18962) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_is__measure_Ointros ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_is__measure_Ointros-1, axiom, ( c_FunDef_Ois__measure(_u18963, _u18964) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all__iff ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all__iff-1, axiom, ( ~c_List_Olist__all(_u18970, _u18972, _u18974) | ~hBOOL(hAPP(hAPP(c_member(_u18970), _u18965), hAPP(c_List_Oset(_u18970), _u18974))) | hBOOL(hAPP(_u18972, _u18965)) )).
% 12.17/12.43 cnf(fact_list__all__iff-2, axiom, ( c_List_Olist__all(_u18971, _u18973, _u18975) | hBOOL(hAPP(hAPP(c_member(_u18971), skolem494(_u18975, _u18973, _u18971)), hAPP(c_List_Oset(_u18971), _u18975))) )).
% 12.17/12.43 cnf(fact_list__all__iff-3, axiom, ( c_List_Olist__all(_u18971, _u18973, _u18975) | ~hBOOL(hAPP(_u18973, skolem494(_u18975, _u18973, _u18971))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_measure__fst ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_measure__fst-1, axiom, ( ~c_FunDef_Ois__measure(_u18976, _u18977) | c_FunDef_Ois__measure(tc_prod(_u18976, _u18978), hAPP(hAPP(c_COMBB(_u18976, tc_Nat_Onat, tc_prod(_u18976, _u18978)), _u18977), c_Product__Type_Ofst(_u18976, _u18978))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_measure__snd ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_measure__snd-1, axiom, ( ~c_FunDef_Ois__measure(_u18979, _u18980) | c_FunDef_Ois__measure(tc_prod(_u18981, _u18979), hAPP(hAPP(c_COMBB(_u18979, tc_Nat_Onat, tc_prod(_u18981, _u18979)), _u18980), c_Product__Type_Osnd(_u18981, _u18979))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all__rev ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all__rev-1, axiom, ( ~c_List_Olist__all(_u18985, _u18987, hAPP(c_List_Orev(_u18985), _u18989)) | c_List_Olist__all(_u18985, _u18987, _u18989) )).
% 12.17/12.43 cnf(fact_list__all__rev-2, axiom, ( ~c_List_Olist__all(_u18986, _u18988, _u18990) | c_List_Olist__all(_u18986, _u18988, hAPP(c_List_Orev(_u18986), _u18990)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all__simps_I1_J-1, axiom, ( ~c_List_Olist__all(_u18995, _u18997, hAPP(hAPP(c_List_Olist_OCons(_u18995), _u18999), _u19001)) | hBOOL(hAPP(_u18997, _u18999)) )).
% 12.17/12.43 cnf(fact_list__all__simps_I1_J-2, axiom, ( ~c_List_Olist__all(_u18995, _u18997, hAPP(hAPP(c_List_Olist_OCons(_u18995), _u18999), _u19001)) | c_List_Olist__all(_u18995, _u18997, _u19001) )).
% 12.17/12.43 cnf(fact_list__all__simps_I1_J-3, axiom, ( ~hBOOL(hAPP(_u18998, _u19000)) | ~c_List_Olist__all(_u18996, _u18998, _u19002) | c_List_Olist__all(_u18996, _u18998, hAPP(hAPP(c_List_Olist_OCons(_u18996), _u19000), _u19002)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_Ball__set__list__all ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_Ball__set__list__all-1, axiom, ( c_List_Olist__all(_u19008, _u19012, _u19010) | hBOOL(hAPP(hAPP(c_member(_u19008), skolem495(_u19012, _u19010, _u19008)), hAPP(c_List_Oset(_u19008), _u19010))) )).
% 12.17/12.43 cnf(fact_Ball__set__list__all-2, axiom, ( c_List_Olist__all(_u19008, _u19012, _u19010) | ~hBOOL(hAPP(_u19012, skolem495(_u19012, _u19010, _u19008))) )).
% 12.17/12.43 cnf(fact_Ball__set__list__all-3, axiom, ( ~c_List_Olist__all(_u19009, _u19013, _u19011) | ~hBOOL(hAPP(hAPP(c_member(_u19009), _u19004), hAPP(c_List_Oset(_u19009), _u19011))) | hBOOL(hAPP(_u19013, _u19004)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all__iff__raw ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all__iff__raw-1, axiom, ( ~c_List_Olist__all(_u19019, _u19021, _u19023) | ~hBOOL(hAPP(hAPP(c_member(_u19019), _u19014), hAPP(c_List_Oset(_u19019), _u19023))) | hBOOL(hAPP(_u19021, _u19014)) )).
% 12.17/12.43 cnf(fact_list__all__iff__raw-2, axiom, ( c_List_Olist__all(_u19020, _u19022, _u19024) | hBOOL(hAPP(hAPP(c_member(_u19020), skolem496(_u19024, _u19022, _u19020)), hAPP(c_List_Oset(_u19020), _u19024))) )).
% 12.17/12.43 cnf(fact_list__all__iff__raw-3, axiom, ( c_List_Olist__all(_u19020, _u19022, _u19024) | ~hBOOL(hAPP(_u19022, skolem496(_u19024, _u19022, _u19020))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex1__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex1__simps_I2_J-1, axiom, ( ~c_List_Olist__ex1(_u19029, _u19031, hAPP(hAPP(c_List_Olist_OCons(_u19029), _u19033), _u19035)) | ~hBOOL(hAPP(_u19031, _u19033)) | c_List_Olist__all(_u19029, hAPP(hAPP(c_COMBS(_u19029, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19029), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19029), c_fNot), _u19031))), hAPP(c_fequal, _u19033)), _u19035) )).
% 12.17/12.43 cnf(fact_list__ex1__simps_I2_J-2, axiom, ( ~c_List_Olist__ex1(_u19029, _u19031, hAPP(hAPP(c_List_Olist_OCons(_u19029), _u19033), _u19035)) | hBOOL(hAPP(_u19031, _u19033)) | c_List_Olist__ex1(_u19029, _u19031, _u19035) )).
% 12.17/12.43 cnf(fact_list__ex1__simps_I2_J-3, axiom, ( c_List_Olist__ex1(_u19030, _u19032, hAPP(hAPP(c_List_Olist_OCons(_u19030), _u19034), _u19036)) | hBOOL(hAPP(_u19032, _u19034)) | ~c_List_Olist__ex1(_u19030, _u19032, _u19036) )).
% 12.17/12.43 cnf(fact_list__ex1__simps_I2_J-4, axiom, ( c_List_Olist__ex1(_u19030, _u19032, hAPP(hAPP(c_List_Olist_OCons(_u19030), _u19034), _u19036)) | ~c_List_Olist__all(_u19030, hAPP(hAPP(c_COMBS(_u19030, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19030), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19030), c_fNot), _u19032))), hAPP(c_fequal, _u19034)), _u19036) | ~hBOOL(hAPP(_u19032, _u19034)) )).
% 12.17/12.43 cnf(fact_list__ex1__simps_I2_J-5, axiom, ( c_List_Olist__ex1(_u19030, _u19032, hAPP(hAPP(c_List_Olist_OCons(_u19030), _u19034), _u19036)) | ~c_List_Olist__all(_u19030, hAPP(hAPP(c_COMBS(_u19030, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19030), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19030), c_fNot), _u19032))), hAPP(c_fequal, _u19034)), _u19036) | ~c_List_Olist__ex1(_u19030, _u19032, _u19036) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 12.17/12.43 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)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex1__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex1__simps_I1_J-1, axiom, ( ~c_List_Olist__ex1(_u19037, _u19038, c_List_Olist_ONil(_u19037)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 12.17/12.43 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)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 12.17/12.43 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)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex1__iff ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex1__iff-1, axiom, ( ~c_List_Olist__ex1(_u19046, _u19048, _u19050) | hBOOL(hAPP(hAPP(c_member(_u19046), skolem497(_u19050, _u19048, _u19046)), hAPP(c_List_Oset(_u19046), _u19050))) )).
% 12.17/12.43 cnf(fact_list__ex1__iff-2, axiom, ( ~c_List_Olist__ex1(_u19046, _u19048, _u19050) | hBOOL(hAPP(_u19048, skolem497(_u19050, _u19048, _u19046))) )).
% 12.17/12.43 cnf(fact_list__ex1__iff-3, axiom, ( ~c_List_Olist__ex1(_u19046, _u19048, _u19050) | ~hBOOL(hAPP(hAPP(c_member(_u19046), _u19039), hAPP(c_List_Oset(_u19046), _u19050))) | ~hBOOL(hAPP(_u19048, _u19039)) | ( _u19039 = skolem497(_u19050, _u19048, _u19046)) )).
% 12.17/12.43 cnf(fact_list__ex1__iff-4, axiom, ( c_List_Olist__ex1(_u19047, _u19049, _u19051) | ~hBOOL(hAPP(hAPP(c_member(_u19047), _u19042), hAPP(c_List_Oset(_u19047), _u19051))) | ~hBOOL(hAPP(_u19049, _u19042)) | hBOOL(hAPP(hAPP(c_member(_u19047), skolem498(_u19051, _u19049, _u19047, _u19042)), hAPP(c_List_Oset(_u19047), _u19051))) )).
% 12.17/12.43 cnf(fact_list__ex1__iff-5, axiom, ( c_List_Olist__ex1(_u19047, _u19049, _u19051) | ~hBOOL(hAPP(hAPP(c_member(_u19047), _u19042), hAPP(c_List_Oset(_u19047), _u19051))) | ~hBOOL(hAPP(_u19049, _u19042)) | hBOOL(hAPP(_u19049, skolem498(_u19051, _u19049, _u19047, _u19042))) )).
% 12.17/12.43 cnf(fact_list__ex1__iff-6, axiom, ( c_List_Olist__ex1(_u19047, _u19049, _u19051) | ~hBOOL(hAPP(hAPP(c_member(_u19047), _u19042), hAPP(c_List_Oset(_u19047), _u19051))) | ~hBOOL(hAPP(_u19049, _u19042)) | ( skolem498(_u19051, _u19049, _u19047, _u19042) != _u19042) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u19057 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19059, _u19061, _u19063, _u19065), _u19057) = c_Lazy__Sequence_Ohit__bound(_u19061)) )).
% 12.17/12.43 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u19058 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19060, _u19062, _u19064, _u19066), _u19058) = c_Lazy__Sequence_Ohb__bind(_u19060, _u19062, hAPP(_u19064, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19058), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19060, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19062))), _u19066), _u19058))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u19072 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19074, _u19076, _u19078, _u19080), _u19072) = c_Lazy__Sequence_Oempty(_u19076)) )).
% 12.17/12.43 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u19073 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19075, _u19077, _u19079, _u19081), _u19073) = hAPP(c_Lazy__Sequence_Obind(_u19075, _u19077, hAPP(_u19079, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19073), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19075, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19077)), _u19081), _u19073))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19082, _u19083, _u19084, _u19085, _u19086, _u19087, _u19088) = c_New__DSequence_Oneg__decr__bind(_u19082, _u19083, hAPP(hAPP(hAPP(_u19084, _u19086), _u19087), _u19088), hAPP(hAPP(c_COMBC(_u19082, 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(_u19083)))), hAPP(hAPP(c_COMBC(_u19082, 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(_u19083))))), hAPP(hAPP(c_COMBC(_u19082, 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(_u19083)))))), _u19085), _u19086)), _u19087)), _u19088))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19089, _u19090, _u19091, _u19092, _u19093, _u19094, _u19095) = c_New__DSequence_Opos__decr__bind(_u19089, _u19090, hAPP(hAPP(hAPP(_u19091, _u19093), _u19094), _u19095), hAPP(hAPP(c_COMBC(_u19089, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19090))), hAPP(hAPP(c_COMBC(_u19089, 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(_u19090)))), hAPP(hAPP(c_COMBC(_u19089, 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(_u19090))))), _u19092), _u19093)), _u19094)), _u19095))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19096, _u19097, _u19098, _u19099), _u19100) = c_Lazy__Sequence_Ohb__bind(_u19096, _u19097, hAPP(_u19098, _u19100), hAPP(hAPP(c_COMBC(_u19096, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19097))), _u19099), _u19100))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u19101), _u19102) = c_Lazy__Sequence_Oempty(_u19101)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u19103, _u19104, _u19105, _u19106) = c_New__DSequence_Opos__empty(_u19103)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19107, _u19108, _u19109, _u19110), _u19111), _u19112), _u19113) = c_New__DSequence_Oneg__bind(_u19107, _u19108, hAPP(hAPP(hAPP(_u19109, _u19111), _u19112), _u19113), hAPP(hAPP(c_COMBC(_u19107, 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(_u19108)))), hAPP(hAPP(c_COMBC(_u19107, 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(_u19108))))), hAPP(hAPP(c_COMBC(_u19107, 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(_u19108)))))), _u19110), _u19111)), _u19112)), _u19113))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u19114, _u19115, _u19116, _u19117), _u19118) = hAPP(c_Lazy__Sequence_Obind(_u19114, _u19115, hAPP(_u19116, _u19118)), hAPP(hAPP(c_COMBC(_u19114, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19115)), _u19117), _u19118))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u19119, _u19120, _u19121, _u19122) = c_New__Random__Sequence_Oneg__bind(_u19119, _u19120, _u19122, hAPP(c_Fun_Ocomp(_u19120, 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(_u19120)))))), _u19119, c_New__Random__Sequence_Oneg__single(_u19120)), _u19121))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19123), _u19124), _u19125), _u19126), _u19127) = c_New__DSequence_Oneg__single(_u19123, _u19124)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19128, _u19129, _u19130, _u19131), _u19132), _u19133), _u19134) = c_New__DSequence_Opos__bind(_u19128, _u19129, hAPP(hAPP(hAPP(_u19130, _u19132), _u19133), _u19134), hAPP(hAPP(c_COMBC(_u19128, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19129))), hAPP(hAPP(c_COMBC(_u19128, 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(_u19129)))), hAPP(hAPP(c_COMBC(_u19128, 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(_u19129))))), _u19131), _u19132)), _u19133)), _u19134))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u19135, _u19136), _u19137) = c_Lazy__Sequence_Ohb__single(_u19135, _u19136)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u19138, _u19139, _u19140, _u19141) = c_New__Random__Sequence_Opos__bind(_u19138, _u19139, _u19141, hAPP(c_Fun_Ocomp(_u19139, 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(_u19139))))), _u19138, c_New__Random__Sequence_Opos__single(_u19139)), _u19140))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19142), _u19143), _u19144), _u19145), _u19146) = c_New__DSequence_Opos__single(_u19142, _u19143)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__splice ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_length__splice-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19147)), c_List_Osplice(_u19147, _u19148, _u19149)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19147)), _u19148)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19147)), _u19149))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_splice_Osimps_I3_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_splice_Osimps_I3_J-1, axiom, ( ( c_List_Osplice(_u19150, hAPP(hAPP(c_List_Olist_OCons(_u19150), _u19151), _u19152), hAPP(hAPP(c_List_Olist_OCons(_u19150), _u19153), _u19154)) = hAPP(hAPP(c_List_Olist_OCons(_u19150), _u19151), hAPP(hAPP(c_List_Olist_OCons(_u19150), _u19153), c_List_Osplice(_u19150, _u19152, _u19154)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_splice_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_splice_Osimps_I1_J-1, axiom, ( ( c_List_Osplice(_u19155, c_List_Olist_ONil(_u19155), _u19156) = _u19156) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_splice__Nil2 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_splice__Nil2-1, axiom, ( ( c_List_Osplice(_u19157, _u19158, c_List_Olist_ONil(_u19157)) = _u19158) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_splice_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_splice_Osimps_I2_J-1, axiom, ( ( c_List_Osplice(_u19159, hAPP(hAPP(c_List_Olist_OCons(_u19159), _u19160), _u19161), c_List_Olist_ONil(_u19159)) = hAPP(hAPP(c_List_Olist_OCons(_u19159), _u19160), _u19161)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u19162, _u19163), _u19164) = hAPP(c_Lazy__Sequence_Osingle(_u19162), _u19163)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_acyclicP__converse ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_acyclicP__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19167, hAPP(c_Set_OCollect(tc_prod(_u19167, _u19167)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19167, _u19167, tc_HOL_Obool), c_Predicate_Oconversep(_u19167, _u19167, _u19169)))) | c_Wellfounded_Oacyclic(_u19167, hAPP(c_Set_OCollect(tc_prod(_u19167, _u19167)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19167, _u19167, tc_HOL_Obool), _u19169))) )).
% 12.17/12.43 cnf(fact_acyclicP__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u19168, hAPP(c_Set_OCollect(tc_prod(_u19168, _u19168)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19168, _u19168, tc_HOL_Obool), _u19170))) | c_Wellfounded_Oacyclic(_u19168, hAPP(c_Set_OCollect(tc_prod(_u19168, _u19168)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19168, _u19168, tc_HOL_Obool), c_Predicate_Oconversep(_u19168, _u19168, _u19170)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_conversep__noteq ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_conversep__noteq-1, axiom, ( ( _u19176 != _u19178) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19174, _u19174, hAPP(hAPP(c_COMBB(tc_fun(_u19174, tc_HOL_Obool), tc_fun(_u19174, tc_HOL_Obool), _u19174), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19174), c_fNot)), c_fequal)), _u19176), _u19178)) )).
% 12.17/12.43 cnf(fact_conversep__noteq-2, axiom, ( ( _u19177 = _u19179) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19175, _u19175, hAPP(hAPP(c_COMBB(tc_fun(_u19175, tc_HOL_Obool), tc_fun(_u19175, tc_HOL_Obool), _u19175), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19175), c_fNot)), c_fequal)), _u19177), _u19179)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_conversepD ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_conversepD-1, axiom, ( hBOOL(hAPP(hAPP(_u19182, _u19184), _u19183)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19180, _u19181, _u19182), _u19183), _u19184)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_conversep_Ointros ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_conversep_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19185, _u19186), _u19187)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19188, _u19189, _u19185), _u19187), _u19186)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_conversep_Oequations ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_conversep_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u19199, _u19203), _u19201)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19195, _u19197, _u19199), _u19201), _u19203)) )).
% 12.17/12.43 cnf(fact_conversep_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19200, _u19204), _u19202)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19196, _u19198, _u19200), _u19202), _u19204)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_conversep__iff ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_conversep__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u19214, _u19218), _u19216)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19210, _u19212, _u19214), _u19216), _u19218)) )).
% 12.17/12.43 cnf(fact_conversep__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19215, _u19219), _u19217)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19211, _u19213, _u19215), _u19217), _u19219)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_conversep__conversep ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_conversep__conversep-1, axiom, ( ( c_Predicate_Oconversep(_u19220, _u19221, c_Predicate_Oconversep(_u19221, _u19220, _u19222)) = _u19222) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_conversep__eq ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_conversep__eq-1, axiom, ( ( c_Predicate_Oconversep(_u19223, _u19223, c_fequal) = c_fequal) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_converse__pred__comp ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_converse__pred__comp-1, axiom, ( ( c_Predicate_Oconversep(_u19224, _u19225, c_Predicate_Opred__comp(_u19224, _u19226, _u19225, _u19227, _u19228)) = c_Predicate_Opred__comp(_u19225, _u19226, _u19224, c_Predicate_Oconversep(_u19226, _u19225, _u19228), c_Predicate_Oconversep(_u19224, _u19226, _u19227))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_converse__join ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_converse__join-1, axiom, ( ( c_Predicate_Oconversep(_u19229, _u19230, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19229, tc_fun(_u19230, tc_HOL_Obool))), _u19231), _u19232)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19230, tc_fun(_u19229, tc_HOL_Obool))), c_Predicate_Oconversep(_u19229, _u19230, _u19231)), c_Predicate_Oconversep(_u19229, _u19230, _u19232))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_converse__meet ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_converse__meet-1, axiom, ( ( c_Predicate_Oconversep(_u19233, _u19234, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19233, tc_fun(_u19234, tc_HOL_Obool))), _u19235), _u19236)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19234, tc_fun(_u19233, tc_HOL_Obool))), c_Predicate_Oconversep(_u19233, _u19234, _u19235)), c_Predicate_Oconversep(_u19233, _u19234, _u19236))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_conversep__converse__eq ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_conversep__converse__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19242, _u19244, hAPP(hAPP(c_COMBC(_u19242, tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_fun(_u19244, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19244, tc_fun(tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_fun(_u19244, tc_HOL_Obool)), _u19242), c_COMBC(_u19244, tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19244, tc_prod(_u19242, _u19244)), tc_fun(_u19244, tc_fun(tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_HOL_Obool)), _u19242), hAPP(c_COMBB(tc_prod(_u19242, _u19244), tc_fun(tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_HOL_Obool), _u19244), c_member(tc_prod(_u19242, _u19244)))), c_Product__Type_OPair(_u19242, _u19244)))), _u19246)), _u19248), _u19250)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19244, _u19242)), hAPP(hAPP(c_Product__Type_OPair(_u19244, _u19242), _u19248), _u19250)), hAPP(c_Relation_Oconverse(_u19242, _u19244), _u19246))) )).
% 12.17/12.43 cnf(fact_conversep__converse__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19245, _u19243)), hAPP(hAPP(c_Product__Type_OPair(_u19245, _u19243), _u19249), _u19251)), hAPP(c_Relation_Oconverse(_u19243, _u19245), _u19247))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19243, _u19245, hAPP(hAPP(c_COMBC(_u19243, tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_fun(_u19245, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19245, tc_fun(tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_fun(_u19245, tc_HOL_Obool)), _u19243), c_COMBC(_u19245, tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19245, tc_prod(_u19243, _u19245)), tc_fun(_u19245, tc_fun(tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_HOL_Obool)), _u19243), hAPP(c_COMBB(tc_prod(_u19243, _u19245), tc_fun(tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_HOL_Obool), _u19245), c_member(tc_prod(_u19243, _u19245)))), c_Product__Type_OPair(_u19243, _u19245)))), _u19247)), _u19249), _u19251)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_ ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_-1, axiom, ( ( c_Lazy__Sequence_Oproduct(_u19252, _u19253, _u19254, _u19255) = hAPP(c_Lazy__Sequence_Obind(_u19252, tc_prod(_u19252, _u19253), _u19254), hAPP(hAPP(c_COMBB(tc_fun(_u19253, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19252, _u19253))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19252, _u19253)), _u19252), c_Lazy__Sequence_Obind(_u19253, tc_prod(_u19252, _u19253), _u19255)), hAPP(hAPP(c_COMBB(tc_fun(_u19253, tc_prod(_u19252, _u19253)), tc_fun(_u19253, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19252, _u19253))), _u19252), hAPP(c_COMBB(tc_prod(_u19252, _u19253), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19252, _u19253)), _u19253), c_Lazy__Sequence_Osingle(tc_prod(_u19252, _u19253)))), c_Product__Type_OPair(_u19252, _u19253))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_tl__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_tl__replicate-1, axiom, ( ( _u19256 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19257), c_List_Oreplicate(_u19257, _u19256, _u19258)) = c_List_Oreplicate(_u19257, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19256), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19258)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_replicate__length__filter ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_replicate__length__filter-1, axiom, ( ( c_List_Oreplicate(_u19259, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19259)), hAPP(c_List_Ofilter(_u19259, hAPP(c_fequal, _u19260)), _u19261)), _u19260) = hAPP(c_List_Ofilter(_u19259, hAPP(c_fequal, _u19260)), _u19261)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_length__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_length__replicate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19262)), c_List_Oreplicate(_u19262, _u19263, _u19264)) = _u19263) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_map__replicate__const ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_map__replicate__const-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19265, _u19266), hAPP(c_COMBK(_u19266, _u19265), _u19267)), _u19268) = c_List_Oreplicate(_u19266, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19265)), _u19268), _u19267)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_replicate__app__Cons__same ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_replicate__app__Cons__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19269), c_List_Oreplicate(_u19269, _u19270, _u19271)), hAPP(hAPP(c_List_Olist_OCons(_u19269), _u19271), _u19272)) = hAPP(hAPP(c_List_Olist_OCons(_u19269), _u19271), hAPP(hAPP(c_List_Oappend(_u19269), c_List_Oreplicate(_u19269, _u19270, _u19271)), _u19272))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_replicate__Suc ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_replicate__Suc-1, axiom, ( ( c_List_Oreplicate(_u19273, hAPP(c_Nat_OSuc, _u19274), _u19275) = hAPP(hAPP(c_List_Olist_OCons(_u19273), _u19275), c_List_Oreplicate(_u19273, _u19274, _u19275))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_rev__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_rev__replicate-1, axiom, ( ( hAPP(c_List_Orev(_u19276), c_List_Oreplicate(_u19276, _u19277, _u19278)) = c_List_Oreplicate(_u19276, _u19277, _u19278)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_drop__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_drop__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19279), _u19280), c_List_Oreplicate(_u19279, _u19281, _u19282)) = c_List_Oreplicate(_u19279, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19281), _u19280), _u19282)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_hd__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_hd__replicate-1, axiom, ( ( _u19283 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19284), c_List_Oreplicate(_u19284, _u19283, _u19285)) = _u19285) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_take__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_take__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19286), _u19287), c_List_Oreplicate(_u19286, _u19288, _u19289)) = c_List_Oreplicate(_u19286, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19287), _u19288), _u19289)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_last__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_last__replicate-1, axiom, ( ( _u19290 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19291, c_List_Oreplicate(_u19291, _u19290, _u19292)) = _u19292) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_zip__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_zip__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19293, _u19294), c_List_Oreplicate(_u19293, _u19295, _u19296)), c_List_Oreplicate(_u19294, _u19297, _u19298)) = c_List_Oreplicate(tc_prod(_u19293, _u19294), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19295), _u19297), hAPP(hAPP(c_Product__Type_OPair(_u19293, _u19294), _u19296), _u19298))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_Bex__set__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_Bex__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19305), _u19299), hAPP(c_List_Oset(_u19305), c_List_Oreplicate(_u19305, _u19307, _u19309)))) | ~hBOOL(hAPP(_u19311, _u19299)) | hBOOL(hAPP(_u19311, _u19309)) )).
% 12.17/12.43 cnf(fact_Bex__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19305), _u19299), hAPP(c_List_Oset(_u19305), c_List_Oreplicate(_u19305, _u19307, _u19309)))) | ~hBOOL(hAPP(_u19311, _u19299)) | ( _u19307 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.43 cnf(fact_Bex__set__replicate-3, axiom, ( ~hBOOL(hAPP(_u19312, _u19310)) | ( _u19308 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19306), skolem499(_u19312, _u19310, _u19308, _u19306)), hAPP(c_List_Oset(_u19306), c_List_Oreplicate(_u19306, _u19308, _u19310)))) )).
% 12.17/12.43 cnf(fact_Bex__set__replicate-4, axiom, ( ~hBOOL(hAPP(_u19312, _u19310)) | ( _u19308 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19312, skolem499(_u19312, _u19310, _u19308, _u19306))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_Ball__set__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_Ball__set__replicate-1, axiom, ( hBOOL(hAPP(_u19325, _u19323)) | ( _u19321 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19319), skolem500(_u19325, _u19323, _u19321, _u19319)), hAPP(c_List_Oset(_u19319), c_List_Oreplicate(_u19319, _u19321, _u19323)))) )).
% 12.17/12.43 cnf(fact_Ball__set__replicate-2, axiom, ( hBOOL(hAPP(_u19325, _u19323)) | ( _u19321 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19325, skolem500(_u19325, _u19323, _u19321, _u19319))) )).
% 12.17/12.43 cnf(fact_Ball__set__replicate-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19320), _u19314), hAPP(c_List_Oset(_u19320), c_List_Oreplicate(_u19320, _u19322, _u19324)))) | hBOOL(hAPP(_u19326, _u19314)) | ~hBOOL(hAPP(_u19326, _u19324)) )).
% 12.17/12.43 cnf(fact_Ball__set__replicate-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19320), _u19314), hAPP(c_List_Oset(_u19320), c_List_Oreplicate(_u19320, _u19322, _u19324)))) | hBOOL(hAPP(_u19326, _u19314)) | ( _u19322 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_replicate__eq__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_replicate__eq__replicate-1, axiom, ( ( c_List_Oreplicate(_u19332, _u19334, _u19336) != c_List_Oreplicate(_u19332, _u19338, _u19340)) | ( _u19334 = _u19338) )).
% 12.17/12.43 cnf(fact_replicate__eq__replicate-2, axiom, ( ( c_List_Oreplicate(_u19332, _u19334, _u19336) != c_List_Oreplicate(_u19332, _u19338, _u19340)) | ( _u19334 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19336 = _u19340) )).
% 12.17/12.43 cnf(fact_replicate__eq__replicate-3, axiom, ( ( c_List_Oreplicate(_u19333, _u19335, _u19337) = c_List_Oreplicate(_u19333, _u19339, _u19341)) | ( _u19335 != _u19339) | ( _u19335 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.43 cnf(fact_replicate__eq__replicate-4, axiom, ( ( c_List_Oreplicate(_u19333, _u19335, _u19337) = c_List_Oreplicate(_u19333, _u19339, _u19341)) | ( _u19335 != _u19339) | ( _u19337 != _u19341) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_nth__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_nth__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19342), _u19343)) | ( hAPP(hAPP(c_List_Onth(_u19344), c_List_Oreplicate(_u19344, _u19343, _u19345)), _u19342) = _u19345) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_append__replicate__commute ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_append__replicate__commute-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19346), c_List_Oreplicate(_u19346, _u19347, _u19348)), c_List_Oreplicate(_u19346, _u19349, _u19348)) = hAPP(hAPP(c_List_Oappend(_u19346), c_List_Oreplicate(_u19346, _u19349, _u19348)), c_List_Oreplicate(_u19346, _u19347, _u19348))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_replicate__add ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_replicate__add-1, axiom, ( ( c_List_Oreplicate(_u19350, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19351), _u19352), _u19353) = hAPP(hAPP(c_List_Oappend(_u19350), c_List_Oreplicate(_u19350, _u19351, _u19353)), c_List_Oreplicate(_u19350, _u19352, _u19353))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_filter__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_filter__replicate-1, axiom, ( ~hBOOL(hAPP(_u19358, _u19360)) | ( hAPP(c_List_Ofilter(_u19362, _u19358), c_List_Oreplicate(_u19362, _u19364, _u19360)) = c_List_Oreplicate(_u19362, _u19364, _u19360)) )).
% 12.17/12.43 cnf(fact_filter__replicate-2, axiom, ( hBOOL(hAPP(_u19359, _u19361)) | ( hAPP(c_List_Ofilter(_u19363, _u19359), c_List_Oreplicate(_u19363, _u19365, _u19361)) = c_List_Olist_ONil(_u19363)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_concat__replicate__trivial ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_concat__replicate__trivial-1, axiom, ( ( c_List_Oconcat(_u19366, c_List_Oreplicate(tc_List_Olist(_u19366), _u19367, c_List_Olist_ONil(_u19366))) = c_List_Olist_ONil(_u19366)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_replicate__0 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_replicate__0-1, axiom, ( ( c_List_Oreplicate(_u19368, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19369) = c_List_Olist_ONil(_u19368)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_empty__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_empty__replicate-1, axiom, ( ( _u19375 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19373) != c_List_Oreplicate(_u19373, _u19375, _u19377)) )).
% 12.17/12.43 cnf(fact_empty__replicate-2, axiom, ( ( _u19376 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19374) = c_List_Oreplicate(_u19374, _u19376, _u19378)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_replicate__empty ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_replicate__empty-1, axiom, ( ( _u19384 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19382, _u19384, _u19386) != c_List_Olist_ONil(_u19382)) )).
% 12.17/12.43 cnf(fact_replicate__empty-2, axiom, ( ( _u19385 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19383, _u19385, _u19387) = c_List_Olist_ONil(_u19383)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_map__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_map__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19388, _u19389), _u19390), c_List_Oreplicate(_u19388, _u19391, _u19392)) = c_List_Oreplicate(_u19389, _u19391, hAPP(_u19390, _u19392))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_in__set__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_in__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19397), _u19399), hAPP(c_List_Oset(_u19397), c_List_Oreplicate(_u19397, _u19401, _u19403)))) | ( _u19399 = _u19403) )).
% 12.17/12.43 cnf(fact_in__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19397), _u19399), hAPP(c_List_Oset(_u19397), c_List_Oreplicate(_u19397, _u19401, _u19403)))) | ( _u19401 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.43 cnf(fact_in__set__replicate-3, axiom, ( ( _u19400 != _u19404) | ( _u19402 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19398), _u19400), hAPP(c_List_Oset(_u19398), c_List_Oreplicate(_u19398, _u19402, _u19404)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_replicate__append__same ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_replicate__append__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19405), c_List_Oreplicate(_u19405, _u19406, _u19407)), hAPP(hAPP(c_List_Olist_OCons(_u19405), _u19407), c_List_Olist_ONil(_u19405))) = hAPP(hAPP(c_List_Olist_OCons(_u19405), _u19407), c_List_Oreplicate(_u19405, _u19406, _u19407))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_map__replicate__trivial ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_map__replicate__trivial-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19408), hAPP(c_COMBK(_u19408, tc_Nat_Onat), _u19409)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19410)) = c_List_Oreplicate(_u19408, _u19410, _u19409)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_set__replicate ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_set__replicate-1, axiom, ( ( _u19411 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19412), c_List_Oreplicate(_u19412, _u19411, _u19413)) = hAPP(hAPP(c_Set_Oinsert(_u19412), _u19413), c_Orderings_Obot__class_Obot(tc_fun(_u19412, tc_HOL_Obool)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_set__replicate__conv__if ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_set__replicate__conv__if-1, axiom, ( ( _u19417 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19419), c_List_Oreplicate(_u19419, _u19417, _u19421)) = c_Orderings_Obot__class_Obot(tc_fun(_u19419, tc_HOL_Obool))) )).
% 12.17/12.43 cnf(fact_set__replicate__conv__if-2, axiom, ( ( _u19418 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19420), c_List_Oreplicate(_u19420, _u19418, _u19422)) = hAPP(hAPP(c_Set_Oinsert(_u19420), _u19422), c_Orderings_Obot__class_Obot(tc_fun(_u19420, tc_HOL_Obool)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_set__replicate__Suc ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_set__replicate__Suc-1, axiom, ( ( hAPP(c_List_Oset(_u19423), c_List_Oreplicate(_u19423, hAPP(c_Nat_OSuc, _u19424), _u19425)) = hAPP(hAPP(c_Set_Oinsert(_u19423), _u19425), c_Orderings_Obot__class_Obot(tc_fun(_u19423, tc_HOL_Obool)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_small__lazy__list_Osimps ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_small__lazy__list_Osimps-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19426) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19426), _u19427) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19426), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19426)), c_List_Olist_ONil(_u19426)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19426))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19427)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19426, tc_List_Olist(_u19426)), tc_List_Olist(_u19426), c_Lazy__Sequence_Oproduct(_u19426, tc_List_Olist(_u19426), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19426, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19427), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19426), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19427), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19426, tc_List_Olist(_u19426), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19426))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19426), tc_List_Olist(_u19426)), tc_fun(tc_List_Olist(_u19426), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19426))), _u19426), hAPP(c_COMBB(tc_List_Olist(_u19426), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19426)), tc_List_Olist(_u19426)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19426)))), c_List_Olist_OCons(_u19426))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19426))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_eq__comp__r ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_eq__comp__r-1, axiom, ( ( c_Predicate_Opred__comp(_u19428, _u19428, _u19428, c_fequal, c_Predicate_Opred__comp(_u19428, _u19428, _u19428, _u19429, c_fequal)) = _u19429) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_small__lazy__prod__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_small__lazy__prod__def-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19430) | ~class_Lazy__Sequence_Osmall__lazy(_u19431) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19430, _u19431), _u19432) = c_Lazy__Sequence_Oproduct(_u19430, _u19431, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19430, _u19432), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19431, _u19432))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_New__DSequence_Opos__union__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_New__DSequence_Opos__union__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__union(_u19433, _u19434, _u19435), _u19436) = c_Lazy__Sequence_Oappend(_u19433, hAPP(_u19434, _u19436), hAPP(_u19435, _u19436))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u19438) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), _u19439), _u19440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19438), c_Groups_Ozero__class_Ozero(_u19438)), skolem501(_u19440, _u19439, _u19438))) )).
% 12.17/12.43 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u19438) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), _u19439), _u19440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), _u19439), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19438), _u19440), skolem501(_u19440, _u19439, _u19438)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pos__union__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pos__union__def-1, axiom, ( ( c_New__Random__Sequence_Opos__union(_u19441, _u19442, _u19443, _u19444, _u19445, _u19446) = c_New__DSequence_Opos__union(_u19441, hAPP(hAPP(hAPP(_u19442, _u19444), _u19445), _u19446), hAPP(hAPP(hAPP(_u19443, _u19444), _u19445), _u19446))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_small__lazy_H_Osimps ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_small__lazy_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19449), _u19451)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19449, _u19451) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.17/12.43 cnf(fact_small__lazy_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19450), _u19452)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19450, _u19452) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19452), c_Lazy__Sequence_Osmall__lazy_H(_u19450, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19452), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_small__lazy__int__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_small__lazy__int__def-1, axiom, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19453) = c_Lazy__Sequence_Osmall__lazy_H(_u19453, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19453))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_small__lazy_H_Opsimps ( axiom ) converted to clauses:
% 12.17/12.43 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), _u19454), _u19455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19454), _u19455)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19454, _u19455) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.17/12.43 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), _u19454), _u19455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19454), _u19455)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19454, _u19455) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19455), c_Lazy__Sequence_Osmall__lazy_H(_u19454, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19455), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence_Osize_I4_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19456)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19456, _u19457, _u19458)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19456)), _u19458)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact__01 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact__01-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u19459, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19459, _u19460, _u19461), _u19462) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19459, _u19460, c_Lazy__Sequence_Oappend(_u19459, _u19461, _u19462))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence_Oinject ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence_Oinject-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19468, _u19470, _u19472) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19468, _u19474, _u19476)) | ( _u19470 = _u19474) )).
% 12.17/12.43 cnf(fact_lazy__sequence_Oinject-2, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19468, _u19470, _u19472) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19468, _u19474, _u19476)) | ( _u19472 = _u19476) )).
% 12.17/12.43 cnf(fact_lazy__sequence_Oinject-3, axiom, ( ( _u19471 != _u19475) | ( _u19473 != _u19477) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19469, _u19471, _u19473) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19469, _u19475, _u19477)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence_Osize_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence_Osize_I2_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19478, _u19479), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19478, _u19480, _u19481)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19479, _u19480)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19478, _u19479), _u19481))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_small__lazy_H_Opinduct ( axiom ) converted to clauses:
% 12.17/12.43 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), _u19484), _u19485))) | hBOOL(hAPP(hAPP(_u19486, _u19484), _u19485)) | 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), skolem502(_u19486, _u19485, _u19484)), skolem503(_u19486, _u19485, _u19484)))) )).
% 12.17/12.43 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), _u19484), _u19485))) | hBOOL(hAPP(hAPP(_u19486, _u19484), _u19485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem502(_u19486, _u19485, _u19484)), skolem503(_u19486, _u19485, _u19484))) | hBOOL(hAPP(hAPP(_u19486, skolem502(_u19486, _u19485, _u19484)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem503(_u19486, _u19485, _u19484)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.17/12.43 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), _u19484), _u19485))) | hBOOL(hAPP(hAPP(_u19486, _u19484), _u19485)) | ~hBOOL(hAPP(hAPP(_u19486, skolem502(_u19486, _u19485, _u19484)), skolem503(_u19486, _u19485, _u19484))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_size__code ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_size__code-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19487)), _u19488) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19487, tc_Lazy__Sequence_Olazy__sequence(_u19487)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19487, tc_Lazy__Sequence_Olazy__sequence(_u19487), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19487), tc_Nat_Onat), _u19487), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19487), 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(_u19487)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19487)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19487), _u19488))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence__size__code ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence__size__code-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19489, _u19490), _u19491) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19489, tc_Lazy__Sequence_Olazy__sequence(_u19489)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19489, tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19489, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat)), _u19489), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19489), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19489)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19489, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat)), _u19489), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19489))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19489), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19490))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19489, _u19490))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19489), _u19491))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_seq__case ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_seq__case-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19492, _u19493, _u19494, _u19495, _u19496) = c_Option_Ooption_Ooption__case(_u19492, tc_prod(_u19493, tc_Lazy__Sequence_Olazy__sequence(_u19493)), _u19494, hAPP(c_Product__Type_Oprod_Oprod__case(_u19493, tc_Lazy__Sequence_Olazy__sequence(_u19493), _u19492), _u19495), hAPP(c_Lazy__Sequence_Oyield(_u19493), _u19496))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_yieldn__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_yieldn__def-1, axiom, ( ( c_Lazy__Sequence_Oyieldn(_u19497) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19497), _u19497, c_Lazy__Sequence_Oyield(_u19497))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence_Osimps_I5_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence_Osimps_I5_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19498, _u19499, _u19500, _u19501, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19499, _u19502, _u19503)) = hAPP(hAPP(_u19501, _u19502), _u19503)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_refl__on__INTER ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_refl__on__INTER-1, axiom, ( c_Relation_Orefl__on(_u19507, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19505, tc_fun(_u19507, tc_HOL_Obool)), _u19506), _u19508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19505, tc_fun(tc_prod(_u19507, _u19507), tc_HOL_Obool)), _u19506), _u19509)) | hBOOL(hAPP(hAPP(c_member(_u19505), skolem504(_u19509, _u19508, _u19507, _u19506, _u19505)), _u19506)) )).
% 12.17/12.43 cnf(fact_refl__on__INTER-2, axiom, ( c_Relation_Orefl__on(_u19507, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19505, tc_fun(_u19507, tc_HOL_Obool)), _u19506), _u19508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19505, tc_fun(tc_prod(_u19507, _u19507), tc_HOL_Obool)), _u19506), _u19509)) | ~c_Relation_Orefl__on(_u19507, hAPP(_u19508, skolem504(_u19509, _u19508, _u19507, _u19506, _u19505)), hAPP(_u19509, skolem504(_u19509, _u19508, _u19507, _u19506, _u19505))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_in__set__member ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_in__set__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19513), _u19515), hAPP(c_List_Oset(_u19513), _u19517))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19513), _u19517), _u19515)) )).
% 12.17/12.43 cnf(fact_in__set__member-2, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19514), _u19518), _u19516)) | hBOOL(hAPP(hAPP(c_member(_u19514), _u19516), hAPP(c_List_Oset(_u19514), _u19518))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_member__rec_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_member__rec_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19523), hAPP(hAPP(c_List_Olist_OCons(_u19523), _u19525), _u19527)), _u19529)) | ( _u19525 = _u19529) | hBOOL(hAPP(hAPP(c_List_Omember(_u19523), _u19527), _u19529)) )).
% 12.17/12.43 cnf(fact_member__rec_I1_J-2, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19524), hAPP(hAPP(c_List_Olist_OCons(_u19524), _u19526), _u19528)), _u19530)) | ( _u19526 != _u19530) )).
% 12.17/12.43 cnf(fact_member__rec_I1_J-3, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19524), hAPP(hAPP(c_List_Olist_OCons(_u19524), _u19526), _u19528)), _u19530)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19524), _u19528), _u19530)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_member__set ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_member__set-1, axiom, ( ( c_List_Omember(_u19531) = c_List_Oset(_u19531)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_member__rec_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_member__rec_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19532), c_List_Olist_ONil(_u19532)), _u19533)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_List_Omember__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_List_Omember__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19537), _u19539), _u19541)) | hBOOL(hAPP(hAPP(c_member(_u19537), _u19541), hAPP(c_List_Oset(_u19537), _u19539))) )).
% 12.17/12.43 cnf(fact_List_Omember__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19538), _u19542), hAPP(c_List_Oset(_u19538), _u19540))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19538), _u19540), _u19542)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u19543, _u19544, _u19545, _u19546, c_Nitpick_Opair__box_OPairBox(_u19543, _u19544, _u19547, _u19548)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19545, _u19547)), hAPP(_u19546, _u19548))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex1__iff__raw ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex1__iff__raw-1, axiom, ( ~c_List_Olist__ex1(_u19556, _u19558, _u19560) | hBOOL(hAPP(hAPP(c_member(_u19556), skolem505(_u19560, _u19558, _u19556)), hAPP(c_List_Oset(_u19556), _u19560))) )).
% 12.17/12.43 cnf(fact_list__ex1__iff__raw-2, axiom, ( ~c_List_Olist__ex1(_u19556, _u19558, _u19560) | hBOOL(hAPP(_u19558, skolem505(_u19560, _u19558, _u19556))) )).
% 12.17/12.43 cnf(fact_list__ex1__iff__raw-3, axiom, ( ~c_List_Olist__ex1(_u19556, _u19558, _u19560) | ~hBOOL(hAPP(hAPP(c_member(_u19556), _u19549), hAPP(c_List_Oset(_u19556), _u19560))) | ~hBOOL(hAPP(_u19558, _u19549)) | ( _u19549 = skolem505(_u19560, _u19558, _u19556)) )).
% 12.17/12.43 cnf(fact_list__ex1__iff__raw-4, axiom, ( c_List_Olist__ex1(_u19557, _u19559, _u19561) | ~hBOOL(hAPP(hAPP(c_member(_u19557), _u19552), hAPP(c_List_Oset(_u19557), _u19561))) | ~hBOOL(hAPP(_u19559, _u19552)) | hBOOL(hAPP(hAPP(c_member(_u19557), skolem506(_u19561, _u19559, _u19557, _u19552)), hAPP(c_List_Oset(_u19557), _u19561))) )).
% 12.17/12.43 cnf(fact_list__ex1__iff__raw-5, axiom, ( c_List_Olist__ex1(_u19557, _u19559, _u19561) | ~hBOOL(hAPP(hAPP(c_member(_u19557), _u19552), hAPP(c_List_Oset(_u19557), _u19561))) | ~hBOOL(hAPP(_u19559, _u19552)) | hBOOL(hAPP(_u19559, skolem506(_u19561, _u19559, _u19557, _u19552))) )).
% 12.17/12.43 cnf(fact_list__ex1__iff__raw-6, axiom, ( c_List_Olist__ex1(_u19557, _u19559, _u19561) | ~hBOOL(hAPP(hAPP(c_member(_u19557), _u19552), hAPP(c_List_Oset(_u19557), _u19561))) | ~hBOOL(hAPP(_u19559, _u19552)) | ( skolem506(_u19561, _u19559, _u19557, _u19552) != _u19552) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u19562, _u19563)), c_Nitpick_Opair__box_OPairBox(_u19562, _u19563, _u19564, _u19565)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u19572, _u19574, _u19576, _u19578) != c_Nitpick_Opair__box_OPairBox(_u19572, _u19574, _u19580, _u19582)) | ( _u19576 = _u19580) )).
% 12.17/12.43 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u19572, _u19574, _u19576, _u19578) != c_Nitpick_Opair__box_OPairBox(_u19572, _u19574, _u19580, _u19582)) | ( _u19578 = _u19582) )).
% 12.17/12.43 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u19577 != _u19581) | ( _u19579 != _u19583) | ( c_Nitpick_Opair__box_OPairBox(_u19573, _u19575, _u19577, _u19579) = c_Nitpick_Opair__box_OPairBox(_u19573, _u19575, _u19581, _u19583)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u19584, _u19585, _u19586, _u19587, c_Nitpick_Opair__box_OPairBox(_u19584, _u19585, _u19588, _u19589)) = hAPP(hAPP(_u19587, _u19588), _u19589)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u19590, _u19591, _u19592, _u19593, c_Nitpick_Opair__box_OPairBox(_u19590, _u19591, _u19594, _u19595)) = hAPP(hAPP(_u19593, _u19594), _u19595)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_THE__default__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_THE__default__def-1, axiom, ( ( c_FunDef_OTHE__default(_u19605, _u19607, _u19603) = c_HOL_OThe(_u19605, _u19603)) | ~hBOOL(hAPP(_u19603, _u19597)) | hBOOL(hAPP(_u19603, skolem507(_u19607, _u19605, _u19603, _u19597))) )).
% 12.17/12.43 cnf(fact_THE__default__def-2, axiom, ( ( c_FunDef_OTHE__default(_u19605, _u19607, _u19603) = c_HOL_OThe(_u19605, _u19603)) | ~hBOOL(hAPP(_u19603, _u19597)) | ( skolem507(_u19607, _u19605, _u19603, _u19597) != _u19597) )).
% 12.17/12.43 cnf(fact_THE__default__def-3, axiom, ( ( c_FunDef_OTHE__default(_u19606, _u19608, _u19604) = _u19608) | hBOOL(hAPP(_u19604, skolem508(_u19608, _u19606, _u19604))) )).
% 12.17/12.43 cnf(fact_THE__default__def-4, axiom, ( ( c_FunDef_OTHE__default(_u19606, _u19608, _u19604) = _u19608) | ~hBOOL(hAPP(_u19604, _u19598)) | ( _u19598 = skolem508(_u19608, _u19606, _u19604)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_setsum__UNION__zero ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_setsum__UNION__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem510(_u19616, _u19615, _u19614, _u19613)), _u19615)) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem511(_u19616, _u19615, _u19614, _u19613)), _u19615)) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | ( skolem510(_u19616, _u19615, _u19614, _u19613) != skolem511(_u19616, _u19615, _u19614, _u19613)) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(_u19614), skolem512(_u19616, _u19615, _u19614, _u19613)), skolem510(_u19616, _u19615, _u19614, _u19613))) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(_u19614), skolem512(_u19616, _u19615, _u19614, _u19613)), skolem511(_u19616, _u19615, _u19614, _u19613))) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-6, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | ( hAPP(_u19616, skolem512(_u19616, _u19615, _u19614, _u19613)) != c_Groups_Ozero__class_Ozero(_u19613)) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-7, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem510(_u19616, _u19615, _u19614, _u19613)), _u19615)) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-8, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem511(_u19616, _u19615, _u19614, _u19613)), _u19615)) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-9, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | ( skolem510(_u19616, _u19615, _u19614, _u19613) != skolem511(_u19616, _u19615, _u19614, _u19613)) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-10, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(_u19614), skolem512(_u19616, _u19615, _u19614, _u19613)), skolem510(_u19616, _u19615, _u19614, _u19613))) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-11, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(_u19614), skolem512(_u19616, _u19615, _u19614, _u19613)), skolem511(_u19616, _u19615, _u19614, _u19613))) )).
% 12.17/12.43 cnf(fact_setsum__UNION__zero-12, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | ( hAPP(_u19616, skolem512(_u19616, _u19615, _u19614, _u19613)) != c_Groups_Ozero__class_Ozero(_u19613)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_INF2__I ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_INF2__I-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19618, tc_fun(_u19623, tc_fun(_u19624, tc_HOL_Obool))), _u19619), _u19620), _u19621), _u19622)) | hBOOL(hAPP(hAPP(c_member(_u19618), skolem513(_u19624, _u19623, _u19622, _u19621, _u19620, _u19619, _u19618)), _u19619)) )).
% 12.17/12.43 cnf(fact_INF2__I-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19618, tc_fun(_u19623, tc_fun(_u19624, tc_HOL_Obool))), _u19619), _u19620), _u19621), _u19622)) | ~hBOOL(hAPP(hAPP(hAPP(_u19620, skolem513(_u19624, _u19623, _u19622, _u19621, _u19620, _u19619, _u19618)), _u19621), _u19622)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_SUP2__E ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_SUP2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19626, tc_fun(_u19627, tc_fun(_u19628, tc_HOL_Obool))), _u19629), _u19630), _u19631), _u19632)) | hBOOL(hAPP(hAPP(c_member(_u19626), skolem514(_u19632, _u19631, _u19630, _u19629, _u19628, _u19627, _u19626)), _u19629)) )).
% 12.17/12.43 cnf(fact_SUP2__E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19626, tc_fun(_u19627, tc_fun(_u19628, tc_HOL_Obool))), _u19629), _u19630), _u19631), _u19632)) | hBOOL(hAPP(hAPP(hAPP(_u19630, skolem514(_u19632, _u19631, _u19630, _u19629, _u19628, _u19627, _u19626)), _u19631), _u19632)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_finite__maxlen ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_finite__maxlen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u19635)), _u19636)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19635)), _u19633), _u19636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19635)), _u19633)), skolem515(_u19636, _u19635))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence_Osize_I3_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19637)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19637)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19638) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19638, _u19639, _u19640)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence_Osimps_I3_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence_Osimps_I3_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19641, _u19642, _u19643) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19641)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact__02 ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact__02-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u19644, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19644), _u19645) = _u19645) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence_Osimps_I4_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence_Osimps_I4_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19646, _u19647, _u19648, _u19649, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19647)) = _u19648) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_lazy__sequence_Osize_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_lazy__sequence_Osize_I1_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19650, _u19651), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19650)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__all__iff__all__interval__int ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__all__iff__all__interval__int-1, axiom, ( ~c_List_Olist__all(tc_Int_Oint, _u19655, c_List_Oupto(_u19657, _u19659)) | c_List_Oall__interval__int(_u19655, _u19657, _u19659) )).
% 12.17/12.43 cnf(fact_list__all__iff__all__interval__int-2, axiom, ( ~c_List_Oall__interval__int(_u19656, _u19658, _u19660) | c_List_Olist__all(tc_Int_Oint, _u19656, c_List_Oupto(_u19658, _u19660)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_list__ex__iff__not__all__inverval__int ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_list__ex__iff__not__all__inverval__int-1, axiom, ( ~c_List_Olist__ex(tc_Int_Oint, _u19664, c_List_Oupto(_u19666, _u19668)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19664), _u19666, _u19668) )).
% 12.17/12.43 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), _u19665), _u19667, _u19669) | c_List_Olist__ex(tc_Int_Oint, _u19665, c_List_Oupto(_u19667, _u19669)) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_all__interval__int__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_all__interval__int__def-1, axiom, ( ~c_List_Oall__interval__int(_u19675, _u19677, _u19679) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u19670), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19677, _u19679))) | hBOOL(hAPP(_u19675, _u19670)) )).
% 12.17/12.43 cnf(fact_all__interval__int__def-2, axiom, ( c_List_Oall__interval__int(_u19676, _u19678, _u19680) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem516(_u19680, _u19678, _u19676)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19678, _u19680))) )).
% 12.17/12.43 cnf(fact_all__interval__int__def-3, axiom, ( c_List_Oall__interval__int(_u19676, _u19678, _u19680) | ~hBOOL(hAPP(_u19676, skolem516(_u19680, _u19678, _u19676))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19681, _u19682, _u19683, c_Code__Numeral_OSuc__code__numeral(_u19684)) = hAPP(hAPP(_u19683, _u19684), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19681, _u19682, _u19683, _u19684))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19689), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19691, _u19693, _u19689, _u19695) = 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(_u19691)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19691))) )).
% 12.17/12.43 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19690), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19692, _u19694, _u19690, _u19696) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19692, 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(_u19692)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u19694, _u19696)), 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(_u19692)))), 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(_u19692)))), 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(_u19692)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u19692, 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(_u19692)))), 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(_u19692)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u19692, _u19694, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19690), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19696))), 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(_u19692)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692)))), 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(_u19692)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u19692, 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(_u19692)))), 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(_u19692)))), 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(_u19692))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692)))), 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(_u19692)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692))))), tc_prod(_u19692, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u19692)), hAPP(hAPP(c_COMBB(_u19692, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692)))), tc_prod(_u19692, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u19692)), c_Product__Type_Ofst(_u19692, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19697, _u19698, _u19699, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u19698) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u19700, _u19701, _u19702) = 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(_u19700)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19700))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u19703), _u19704), _u19705), _u19706) = 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(_u19703)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u19703), _u19704))) )).
% 12.17/12.43
% 12.17/12.43 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 12.17/12.43 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u19707, _u19708, _u19709, _u19710) = c_Random__Sequence_Obind(_u19707, _u19708, _u19710, hAPP(c_Fun_Ocomp(_u19708, 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(_u19708)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u19707, c_Random__Sequence_Osingle(_u19708)), _u19709))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19713, hAPP(c_Product__Type_Osnd(_u19714, _u19715), _u19716)), hAPP(c_Product__Type_Ofst(_u19714, _u19715), _u19716))) | hBOOL(hAPP(_u19717, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19714, _u19715, _u19719), _u19718), _u19716))) | hBOOL(hAPP(hAPP(_u19713, skolem518(_u19719, _u19718, _u19717, _u19716, _u19715, _u19714, _u19713)), skolem517(_u19719, _u19718, _u19717, _u19716, _u19715, _u19714, _u19713))) )).
% 12.21/12.43 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19713, hAPP(c_Product__Type_Osnd(_u19714, _u19715), _u19716)), hAPP(c_Product__Type_Ofst(_u19714, _u19715), _u19716))) | hBOOL(hAPP(_u19717, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19714, _u19715, _u19719), _u19718), _u19716))) | ~hBOOL(hAPP(_u19717, hAPP(hAPP(_u19718, skolem517(_u19719, _u19718, _u19717, _u19716, _u19715, _u19714, _u19713)), skolem518(_u19719, _u19718, _u19717, _u19716, _u19715, _u19714, _u19713)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Image__Collect__split ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Image__Collect__split-1, axiom, ( ( hAPP(c_Relation_OImage(_u19720, _u19721, hAPP(c_Set_OCollect(tc_prod(_u19720, _u19721)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19720, _u19721, tc_HOL_Obool), _u19722))), _u19723) = hAPP(c_Set_OCollect(_u19721), hAPP(hAPP(c_COMBB(tc_fun(_u19720, tc_HOL_Obool), tc_HOL_Obool, _u19721), c_HOL_OEx(_u19720)), hAPP(hAPP(c_COMBB(tc_fun(_u19720, tc_HOL_Obool), tc_fun(_u19720, tc_HOL_Obool), _u19721), hAPP(c_COMBS(_u19720, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19720), c_fconj), hAPP(hAPP(c_COMBC(_u19720, tc_fun(_u19720, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19720)), _u19723)))), hAPP(c_COMBC(_u19720, _u19721, tc_HOL_Obool), _u19722))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lexord__trans ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lexord__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19724), tc_List_Olist(_u19724))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19724), tc_List_Olist(_u19724)), _u19725), _u19726)), c_List_Olexord(_u19724, _u19727))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19724), tc_List_Olist(_u19724))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19724), tc_List_Olist(_u19724)), _u19726), _u19728)), c_List_Olexord(_u19724, _u19727))) | ~c_Relation_Otrans(_u19724, _u19727) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19724), tc_List_Olist(_u19724))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19724), tc_List_Olist(_u19724)), _u19725), _u19728)), c_List_Olexord(_u19724, _u19727))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__less__than ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__less__than-1, axiom, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__lex__prod ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__lex__prod-1, axiom, ( ~c_Relation_Otrans(_u19729, _u19730) | ~c_Relation_Otrans(_u19731, _u19732) | c_Relation_Otrans(tc_prod(_u19729, _u19731), c_Wellfounded_Olex__prod(_u19729, _u19731, _u19730, _u19732)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_transD ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_transD-1, axiom, ( ~c_Relation_Otrans(_u19733, _u19734) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19735), _u19736)), _u19734)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19736), _u19737)), _u19734)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19735), _u19737)), _u19734)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__def-1, axiom, ( ~c_Relation_Otrans(_u19746, _u19748) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19746, _u19746)), hAPP(hAPP(c_Product__Type_OPair(_u19746, _u19746), _u19740), _u19739)), _u19748)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19746, _u19746)), hAPP(hAPP(c_Product__Type_OPair(_u19746, _u19746), _u19739), _u19738)), _u19748)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19746, _u19746)), hAPP(hAPP(c_Product__Type_OPair(_u19746, _u19746), _u19740), _u19738)), _u19748)) )).
% 12.21/12.43 cnf(fact_trans__def-2, axiom, ( c_Relation_Otrans(_u19747, _u19749) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19747, _u19747)), hAPP(hAPP(c_Product__Type_OPair(_u19747, _u19747), skolem519(_u19749, _u19747)), skolem520(_u19749, _u19747))), _u19749)) )).
% 12.21/12.43 cnf(fact_trans__def-3, axiom, ( c_Relation_Otrans(_u19747, _u19749) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19747, _u19747)), hAPP(hAPP(c_Product__Type_OPair(_u19747, _u19747), skolem520(_u19749, _u19747)), skolem521(_u19749, _u19747))), _u19749)) )).
% 12.21/12.43 cnf(fact_trans__def-4, axiom, ( c_Relation_Otrans(_u19747, _u19749) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19747, _u19747)), hAPP(hAPP(c_Product__Type_OPair(_u19747, _u19747), skolem519(_u19749, _u19747)), skolem521(_u19749, _u19747))), _u19749)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Union__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Union__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19750, tc_HOL_Obool), _u19751) = hAPP(c_Set_OCollect(_u19750), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19750, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u19750), c_HOL_OEx(tc_fun(_u19750, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19750, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19750, tc_HOL_Obool), tc_HOL_Obool), _u19750), hAPP(c_COMBS(tc_fun(_u19750, 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(_u19750, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19750, tc_HOL_Obool), tc_fun(tc_fun(_u19750, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19750, tc_HOL_Obool))), _u19751)))), c_member(_u19750))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__O__subset ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__O__subset-1, axiom, ( ~c_Relation_Otrans(_u19752, _u19753) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19752, _u19752), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19752, _u19752, _u19752), _u19753), _u19753)), _u19753)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__Int ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__Int-1, axiom, ( ~c_Relation_Otrans(_u19754, _u19755) | ~c_Relation_Otrans(_u19754, _u19756) | c_Relation_Otrans(_u19754, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19754, _u19754), tc_HOL_Obool)), _u19755), _u19756)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__rtrancl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__rtrancl-1, axiom, ( c_Relation_Otrans(_u19757, c_Transitive__Closure_Ortrancl(_u19757, _u19758)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__Id ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__Id-1, axiom, ( c_Relation_Otrans(_u19759, c_Relation_OId(_u19759)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__finite__psubset ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__finite__psubset-1, axiom, ( c_Relation_Otrans(tc_fun(_u19760, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u19760)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trancl__id ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trancl__id-1, axiom, ( ~c_Relation_Otrans(_u19761, _u19762) | ( c_Transitive__Closure_Otrancl(_u19761, _u19762) = _u19762) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__trancl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__trancl-1, axiom, ( c_Relation_Otrans(_u19763, c_Transitive__Closure_Otrancl(_u19763, _u19764)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__Id__on ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__Id__on-1, axiom, ( c_Relation_Otrans(_u19765, c_Relation_OId__on(_u19765, _u19766)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lexord__transI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lexord__transI-1, axiom, ( ~c_Relation_Otrans(_u19767, _u19768) | c_Relation_Otrans(tc_List_Olist(_u19767), c_List_Olexord(_u19767, _u19768)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bex__empty ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bex__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19770), _u19769), c_Orderings_Obot__class_Obot(tc_fun(_u19770, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19771, _u19769)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_listrel__trans ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_listrel__trans-1, axiom, ( ~c_Relation_Otrans(_u19772, _u19773) | c_Relation_Otrans(tc_List_Olist(_u19772), c_List_Olistrel(_u19772, _u19773)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__converse ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__converse-1, axiom, ( ~c_Relation_Otrans(_u19776, hAPP(c_Relation_Oconverse(_u19776, _u19776), _u19778)) | c_Relation_Otrans(_u19776, _u19778) )).
% 12.21/12.43 cnf(fact_trans__converse-2, axiom, ( ~c_Relation_Otrans(_u19777, _u19779) | c_Relation_Otrans(_u19777, hAPP(c_Relation_Oconverse(_u19777, _u19777), _u19779)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_finite__Collect__bex ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_finite__Collect__bex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19782), _u19783)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool, _u19784), c_HOL_OEx(_u19782)), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(_u19782, tc_HOL_Obool), _u19784), hAPP(c_COMBS(_u19782, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19782), c_fconj), hAPP(hAPP(c_COMBC(_u19782, tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19782)), _u19783)))), _u19785))))) | ~hBOOL(hAPP(hAPP(c_member(_u19782), _u19780), _u19783)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBC(_u19784, _u19782, tc_HOL_Obool), _u19785), _u19780)))) )).
% 12.21/12.43 cnf(fact_finite__Collect__bex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19782), _u19783)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool, _u19784), c_HOL_OEx(_u19782)), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(_u19782, tc_HOL_Obool), _u19784), hAPP(c_COMBS(_u19782, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19782), c_fconj), hAPP(hAPP(c_COMBC(_u19782, tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19782)), _u19783)))), _u19785))))) | hBOOL(hAPP(hAPP(c_member(_u19782), skolem522(_u19785, _u19784, _u19783, _u19782)), _u19783)) )).
% 12.21/12.43 cnf(fact_finite__Collect__bex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19782), _u19783)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool, _u19784), c_HOL_OEx(_u19782)), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(_u19782, tc_HOL_Obool), _u19784), hAPP(c_COMBS(_u19782, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19782), c_fconj), hAPP(hAPP(c_COMBC(_u19782, tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19782)), _u19783)))), _u19785))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBC(_u19784, _u19782, tc_HOL_Obool), _u19785), skolem522(_u19785, _u19784, _u19783, _u19782))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bex__UNIV ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bex__UNIV-1, axiom, ( hBOOL(hAPP(_u19794, skolem523(_u19794))) | ~hBOOL(hAPP(hAPP(c_member(_u19792), _u19786), c_Orderings_Otop__class_Otop(tc_fun(_u19792, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19794, _u19786)) )).
% 12.21/12.43 cnf(fact_bex__UNIV-2, axiom, ( ~hBOOL(hAPP(_u19795, _u19788)) | hBOOL(hAPP(hAPP(c_member(_u19793), skolem524(_u19795, _u19793)), c_Orderings_Otop__class_Otop(tc_fun(_u19793, tc_HOL_Obool)))) )).
% 12.21/12.43 cnf(fact_bex__UNIV-3, axiom, ( ~hBOOL(hAPP(_u19795, _u19788)) | hBOOL(hAPP(_u19795, skolem524(_u19795, _u19793))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_SUPR__bool__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_SUPR__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19796, tc_HOL_Obool) = c_Set_OBex(_u19796)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__reflclI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__reflclI-1, axiom, ( ~c_Relation_Otrans(_u19797, _u19798) | c_Relation_Otrans(_u19797, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19797, _u19797), tc_HOL_Obool)), _u19798), c_Relation_OId(_u19797))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__inv__image ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__inv__image-1, axiom, ( ~c_Relation_Otrans(_u19799, _u19800) | c_Relation_Otrans(_u19801, hAPP(hAPP(c_Relation_Oinv__image(_u19799, _u19801), _u19800), _u19802)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Bex__set__list__ex ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Bex__set__list__ex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19808), _u19803), hAPP(c_List_Oset(_u19808), _u19810))) | ~hBOOL(hAPP(_u19812, _u19803)) | c_List_Olist__ex(_u19808, _u19812, _u19810) )).
% 12.21/12.43 cnf(fact_Bex__set__list__ex-2, axiom, ( ~c_List_Olist__ex(_u19809, _u19813, _u19811) | hBOOL(hAPP(hAPP(c_member(_u19809), skolem525(_u19813, _u19811, _u19809)), hAPP(c_List_Oset(_u19809), _u19811))) )).
% 12.21/12.43 cnf(fact_Bex__set__list__ex-3, axiom, ( ~c_List_Olist__ex(_u19809, _u19813, _u19811) | hBOOL(hAPP(_u19813, skolem525(_u19813, _u19811, _u19809))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex__iff__raw ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex__iff__raw-1, axiom, ( ~c_List_Olist__ex(_u19819, _u19821, _u19823) | hBOOL(hAPP(hAPP(c_member(_u19819), skolem526(_u19823, _u19821, _u19819)), hAPP(c_List_Oset(_u19819), _u19823))) )).
% 12.21/12.43 cnf(fact_list__ex__iff__raw-2, axiom, ( ~c_List_Olist__ex(_u19819, _u19821, _u19823) | hBOOL(hAPP(_u19821, skolem526(_u19823, _u19821, _u19819))) )).
% 12.21/12.43 cnf(fact_list__ex__iff__raw-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19820), _u19815), hAPP(c_List_Oset(_u19820), _u19824))) | ~hBOOL(hAPP(_u19822, _u19815)) | c_List_Olist__ex(_u19820, _u19822, _u19824) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_UN__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_UN__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19825, tc_fun(_u19826, tc_HOL_Obool)), _u19827), _u19828) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19826, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19826, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19825, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19826, tc_HOL_Obool)), c_HOL_OEx(_u19825)), hAPP(hAPP(c_COMBB(tc_fun(_u19825, tc_HOL_Obool), tc_fun(_u19825, tc_HOL_Obool), tc_fun(_u19826, tc_HOL_Obool)), hAPP(c_COMBS(_u19825, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19825), c_fconj), hAPP(hAPP(c_COMBC(_u19825, tc_fun(_u19825, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19825)), _u19827)))), hAPP(hAPP(c_COMBC(tc_fun(_u19826, tc_HOL_Obool), tc_fun(_u19825, tc_fun(_u19826, tc_HOL_Obool)), tc_fun(_u19825, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19826, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19825, tc_fun(_u19826, tc_HOL_Obool)), tc_fun(_u19825, tc_HOL_Obool)), tc_fun(_u19826, tc_HOL_Obool)), c_COMBB(tc_fun(_u19826, tc_HOL_Obool), tc_HOL_Obool, _u19825)), c_fequal)), _u19828)))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_INT__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_INT__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19829, tc_fun(_u19830, tc_HOL_Obool)), _u19831), _u19832) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19830, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19830, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19829, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19830, tc_HOL_Obool)), c_HOL_OEx(_u19829)), hAPP(hAPP(c_COMBB(tc_fun(_u19829, tc_HOL_Obool), tc_fun(_u19829, tc_HOL_Obool), tc_fun(_u19830, tc_HOL_Obool)), hAPP(c_COMBS(_u19829, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19829), c_fconj), hAPP(hAPP(c_COMBC(_u19829, tc_fun(_u19829, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19829)), _u19831)))), hAPP(hAPP(c_COMBC(tc_fun(_u19830, tc_HOL_Obool), tc_fun(_u19829, tc_fun(_u19830, tc_HOL_Obool)), tc_fun(_u19829, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19830, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19829, tc_fun(_u19830, tc_HOL_Obool)), tc_fun(_u19829, tc_HOL_Obool)), tc_fun(_u19830, tc_HOL_Obool)), c_COMBB(tc_fun(_u19830, tc_HOL_Obool), tc_HOL_Obool, _u19829)), c_fequal)), _u19832)))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Sup__fun__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Sup__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19833) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19834, _u19833), _u19835), _u19836) = c_Complete__Lattice_OSup__class_OSup(_u19833, hAPP(c_Set_OCollect(_u19833), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool), tc_HOL_Obool, _u19833), c_HOL_OEx(tc_fun(_u19834, _u19833))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool), tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool), _u19833), hAPP(c_COMBS(tc_fun(_u19834, _u19833), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19834, _u19833)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19834, _u19833), tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19834, _u19833))), _u19835)))), hAPP(hAPP(c_COMBC(_u19833, tc_fun(tc_fun(_u19834, _u19833), _u19833), tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19833, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19834, _u19833), _u19833), tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool)), _u19833), c_COMBB(_u19833, tc_HOL_Obool, tc_fun(_u19834, _u19833))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19834, _u19833), _u19834, _u19833), c_COMBI(tc_fun(_u19834, _u19833))), _u19836))))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Sup__apply ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Sup__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19837) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19838, _u19837), _u19839), _u19840) = c_Complete__Lattice_OSup__class_OSup(_u19837, hAPP(c_Set_OCollect(_u19837), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool), tc_HOL_Obool, _u19837), c_HOL_OEx(tc_fun(_u19838, _u19837))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool), tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool), _u19837), hAPP(c_COMBS(tc_fun(_u19838, _u19837), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19838, _u19837)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19838, _u19837), tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19838, _u19837))), _u19839)))), hAPP(hAPP(c_COMBC(_u19837, tc_fun(tc_fun(_u19838, _u19837), _u19837), tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19837, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19838, _u19837), _u19837), tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool)), _u19837), c_COMBB(_u19837, tc_HOL_Obool, tc_fun(_u19838, _u19837))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19838, _u19837), _u19838, _u19837), c_COMBI(tc_fun(_u19838, _u19837))), _u19840))))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Inf__apply ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Inf__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19841) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19842, _u19841), _u19843), _u19844) = c_Complete__Lattice_OInf__class_OInf(_u19841, hAPP(c_Set_OCollect(_u19841), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool), tc_HOL_Obool, _u19841), c_HOL_OEx(tc_fun(_u19842, _u19841))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool), tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool), _u19841), hAPP(c_COMBS(tc_fun(_u19842, _u19841), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19842, _u19841)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19842, _u19841), tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19842, _u19841))), _u19843)))), hAPP(hAPP(c_COMBC(_u19841, tc_fun(tc_fun(_u19842, _u19841), _u19841), tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19841, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19842, _u19841), _u19841), tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool)), _u19841), c_COMBB(_u19841, tc_HOL_Obool, tc_fun(_u19842, _u19841))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19842, _u19841), _u19842, _u19841), c_COMBI(tc_fun(_u19842, _u19841))), _u19844))))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Inf__fun__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Inf__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19845) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19846, _u19845), _u19847), _u19848) = c_Complete__Lattice_OInf__class_OInf(_u19845, hAPP(c_Set_OCollect(_u19845), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool), tc_HOL_Obool, _u19845), c_HOL_OEx(tc_fun(_u19846, _u19845))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool), tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool), _u19845), hAPP(c_COMBS(tc_fun(_u19846, _u19845), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19846, _u19845)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19846, _u19845), tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19846, _u19845))), _u19847)))), hAPP(hAPP(c_COMBC(_u19845, tc_fun(tc_fun(_u19846, _u19845), _u19845), tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19845, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19846, _u19845), _u19845), tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool)), _u19845), c_COMBB(_u19845, tc_HOL_Obool, tc_fun(_u19846, _u19845))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19846, _u19845), _u19846, _u19845), c_COMBI(tc_fun(_u19846, _u19845))), _u19848))))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_max__extp_Ointros ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_max__extp_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19851), _u19852)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19851), _u19853)) | ( _u19853 = c_Orderings_Obot__class_Obot(tc_fun(_u19851, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19851, _u19854, _u19852, _u19853) | hBOOL(hAPP(hAPP(c_member(_u19851), skolem527(_u19854, _u19853, _u19852, _u19851)), _u19852)) )).
% 12.21/12.43 cnf(fact_max__extp_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19851), _u19852)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19851), _u19853)) | ( _u19853 = c_Orderings_Obot__class_Obot(tc_fun(_u19851, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19851, _u19854, _u19852, _u19853) | ~hBOOL(hAPP(hAPP(c_member(_u19851), _u19849), _u19853)) | ~hBOOL(hAPP(hAPP(_u19854, skolem527(_u19854, _u19853, _u19852, _u19851)), _u19849)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_transp__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_transp__def-1, axiom, ( ~c_Predicate_Otransp(_u19857, _u19859) | c_Relation_Otrans(_u19857, hAPP(c_Set_OCollect(tc_prod(_u19857, _u19857)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19857, _u19857, tc_HOL_Obool), _u19859))) )).
% 12.21/12.43 cnf(fact_transp__def-2, axiom, ( ~c_Relation_Otrans(_u19858, hAPP(c_Set_OCollect(tc_prod(_u19858, _u19858)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19858, _u19858, tc_HOL_Obool), _u19860))) | c_Predicate_Otransp(_u19858, _u19860) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_transpE ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_transpE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19862, _u19863), _u19864)) | ~hBOOL(hAPP(hAPP(_u19862, _u19864), _u19865)) | hBOOL(hAPP(hAPP(_u19862, _u19863), _u19865)) | ~c_Predicate_Otransp(_u19861, _u19862) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equivpE ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equivpE-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19866, _u19867) | c_Predicate_Oreflp(_u19866, _u19867) )).
% 12.21/12.43 cnf(fact_equivpE-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u19866, _u19867) | c_Predicate_Osymp(_u19866, _u19867) )).
% 12.21/12.43 cnf(fact_equivpE-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u19866, _u19867) | c_Predicate_Otransp(_u19866, _u19867) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equivpI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equivpI-1, axiom, ( ~c_Predicate_Oreflp(_u19868, _u19869) | ~c_Predicate_Osymp(_u19868, _u19869) | ~c_Predicate_Otransp(_u19868, _u19869) | c_Equiv__Relations_Oequivp(_u19868, _u19869) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sympE ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sympE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19871, _u19872), _u19873)) | hBOOL(hAPP(hAPP(_u19871, _u19873), _u19872)) | ~c_Predicate_Osymp(_u19870, _u19871) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equivp__reflp__symp__transp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equivp__reflp__symp__transp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19876, _u19878) | c_Predicate_Oreflp(_u19876, _u19878) )).
% 12.21/12.43 cnf(fact_equivp__reflp__symp__transp-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u19876, _u19878) | c_Predicate_Osymp(_u19876, _u19878) )).
% 12.21/12.43 cnf(fact_equivp__reflp__symp__transp-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u19876, _u19878) | c_Predicate_Otransp(_u19876, _u19878) )).
% 12.21/12.43 cnf(fact_equivp__reflp__symp__transp-4, axiom, ( ~c_Predicate_Oreflp(_u19877, _u19879) | ~c_Predicate_Osymp(_u19877, _u19879) | ~c_Predicate_Otransp(_u19877, _u19879) | c_Equiv__Relations_Oequivp(_u19877, _u19879) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_max__extp_Osimps ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_max__extp_Osimps-1, axiom, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19888), _u19892)) )).
% 12.21/12.43 cnf(fact_max__extp_Osimps-2, axiom, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19888), _u19894)) )).
% 12.21/12.43 cnf(fact_max__extp_Osimps-3, axiom, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | ( _u19894 != c_Orderings_Obot__class_Obot(tc_fun(_u19888, tc_HOL_Obool))) )).
% 12.21/12.43 cnf(fact_max__extp_Osimps-4, axiom, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | ~hBOOL(hAPP(hAPP(c_member(_u19888), _u19881), _u19892)) | hBOOL(hAPP(hAPP(c_member(_u19888), skolem528(_u19894, _u19892, _u19890, _u19888, _u19881)), _u19894)) )).
% 12.21/12.43 cnf(fact_max__extp_Osimps-5, axiom, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | ~hBOOL(hAPP(hAPP(c_member(_u19888), _u19881), _u19892)) | hBOOL(hAPP(hAPP(_u19890, _u19881), skolem528(_u19894, _u19892, _u19890, _u19888, _u19881))) )).
% 12.21/12.43 cnf(fact_max__extp_Osimps-6, axiom, ( c_Wellfounded_Omax__extp(_u19889, _u19891, _u19893, _u19895) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19889), _u19893)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19889), _u19895)) | ( _u19895 = c_Orderings_Obot__class_Obot(tc_fun(_u19889, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19889), skolem529(_u19895, _u19893, _u19891, _u19889)), _u19893)) )).
% 12.21/12.43 cnf(fact_max__extp_Osimps-7, axiom, ( c_Wellfounded_Omax__extp(_u19889, _u19891, _u19893, _u19895) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19889), _u19893)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19889), _u19895)) | ( _u19895 = c_Orderings_Obot__class_Obot(tc_fun(_u19889, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19889), _u19882), _u19895)) | ~hBOOL(hAPP(hAPP(_u19891, skolem529(_u19895, _u19893, _u19891, _u19889)), _u19882)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_trans__diff__Id ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_trans__diff__Id-1, axiom, ( ~c_Relation_Otrans(_u19896, _u19897) | ~c_Relation_Oantisym(_u19896, _u19897) | c_Relation_Otrans(_u19896, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19896, _u19896), tc_HOL_Obool)), _u19897), c_Relation_OId(_u19896))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_antisym__converse ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_antisym__converse-1, axiom, ( ~c_Relation_Oantisym(_u19900, hAPP(c_Relation_Oconverse(_u19900, _u19900), _u19902)) | c_Relation_Oantisym(_u19900, _u19902) )).
% 12.21/12.43 cnf(fact_antisym__converse-2, axiom, ( ~c_Relation_Oantisym(_u19901, _u19903) | c_Relation_Oantisym(_u19901, hAPP(c_Relation_Oconverse(_u19901, _u19901), _u19903)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_antisym__empty ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_antisym__empty-1, axiom, ( c_Relation_Oantisym(_u19904, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19904, _u19904), tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_antisym__Id ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_antisym__Id-1, axiom, ( c_Relation_Oantisym(_u19905, c_Relation_OId(_u19905)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_antisym__Id__on ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_antisym__Id__on-1, axiom, ( c_Relation_Oantisym(_u19906, c_Relation_OId__on(_u19906, _u19907)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_antisym__subset ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_antisym__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19908, _u19908), tc_HOL_Obool)), _u19909), _u19910)) | ~c_Relation_Oantisym(_u19908, _u19910) | c_Relation_Oantisym(_u19908, _u19909) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_antisym__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_antisym__def-1, axiom, ( ~c_Relation_Oantisym(_u19917, _u19919) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19917, _u19917)), hAPP(hAPP(c_Product__Type_OPair(_u19917, _u19917), _u19912), _u19911)), _u19919)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19917, _u19917)), hAPP(hAPP(c_Product__Type_OPair(_u19917, _u19917), _u19911), _u19912)), _u19919)) | ( _u19912 = _u19911) )).
% 12.21/12.43 cnf(fact_antisym__def-2, axiom, ( c_Relation_Oantisym(_u19918, _u19920) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19918, _u19918)), hAPP(hAPP(c_Product__Type_OPair(_u19918, _u19918), skolem530(_u19920, _u19918)), skolem531(_u19920, _u19918))), _u19920)) )).
% 12.21/12.43 cnf(fact_antisym__def-3, axiom, ( c_Relation_Oantisym(_u19918, _u19920) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19918, _u19918)), hAPP(hAPP(c_Product__Type_OPair(_u19918, _u19918), skolem531(_u19920, _u19918)), skolem530(_u19920, _u19918))), _u19920)) )).
% 12.21/12.43 cnf(fact_antisym__def-4, axiom, ( c_Relation_Oantisym(_u19918, _u19920) | ( skolem530(_u19920, _u19918) != skolem531(_u19920, _u19918)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_antisymD ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_antisymD-1, axiom, ( ~c_Relation_Oantisym(_u19921, _u19922) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19921, _u19921)), hAPP(hAPP(c_Product__Type_OPair(_u19921, _u19921), _u19923), _u19924)), _u19922)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19921, _u19921)), hAPP(hAPP(c_Product__Type_OPair(_u19921, _u19921), _u19924), _u19923)), _u19922)) | ( _u19923 = _u19924) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_antisym__reflcl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_antisym__reflcl-1, axiom, ( ~c_Relation_Oantisym(_u19927, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19927, _u19927), tc_HOL_Obool)), _u19929), c_Relation_OId(_u19927))) | c_Relation_Oantisym(_u19927, _u19929) )).
% 12.21/12.43 cnf(fact_antisym__reflcl-2, axiom, ( ~c_Relation_Oantisym(_u19928, _u19930) | c_Relation_Oantisym(_u19928, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19928, _u19928), tc_HOL_Obool)), _u19930), c_Relation_OId(_u19928))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_acyclic__impl__antisym__rtrancl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_acyclic__impl__antisym__rtrancl-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19931, _u19932) | c_Relation_Oantisym(_u19931, c_Transitive__Closure_Ortrancl(_u19931, _u19932)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_fun__lub__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_fun__lub__def-1, axiom, ( ( c_Partial__Function_Ofun__lub(_u19933, _u19934, _u19935, _u19936, _u19937, _u19938) = hAPP(_u19936, hAPP(c_Set_OCollect(_u19933), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool), tc_HOL_Obool, _u19933), c_HOL_OEx(tc_fun(_u19935, _u19933))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool), tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool), _u19933), hAPP(c_COMBS(tc_fun(_u19935, _u19933), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19935, _u19933)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19935, _u19933), tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19935, _u19933))), _u19937)))), hAPP(hAPP(c_COMBC(_u19933, tc_fun(tc_fun(_u19935, _u19933), _u19933), tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19933, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19935, _u19933), _u19933), tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool)), _u19933), c_COMBB(_u19933, tc_HOL_Obool, tc_fun(_u19935, _u19933))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19935, _u19933), _u19935, _u19933), c_COMBI(tc_fun(_u19935, _u19933))), _u19938))))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__trans__comp__subset ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__trans__comp__subset-1, axiom, ( ~c_Relation_Osym(_u19939, _u19940) | ~c_Relation_Otrans(_u19939, _u19940) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19939, _u19939), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19939, _u19939, _u19939), hAPP(c_Relation_Oconverse(_u19939, _u19939), _u19940)), _u19940)), _u19940)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_symD ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_symD-1, axiom, ( ~c_Relation_Osym(_u19941, _u19942) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19941, _u19941)), hAPP(hAPP(c_Product__Type_OPair(_u19941, _u19941), _u19943), _u19944)), _u19942)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19941, _u19941)), hAPP(hAPP(c_Product__Type_OPair(_u19941, _u19941), _u19944), _u19943)), _u19942)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__def-1, axiom, ( ~c_Relation_Osym(_u19951, _u19953) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19951, _u19951)), hAPP(hAPP(c_Product__Type_OPair(_u19951, _u19951), _u19946), _u19945)), _u19953)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19951, _u19951)), hAPP(hAPP(c_Product__Type_OPair(_u19951, _u19951), _u19945), _u19946)), _u19953)) )).
% 12.21/12.43 cnf(fact_sym__def-2, axiom, ( c_Relation_Osym(_u19952, _u19954) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19952, _u19952)), hAPP(hAPP(c_Product__Type_OPair(_u19952, _u19952), skolem532(_u19954, _u19952)), skolem533(_u19954, _u19952))), _u19954)) )).
% 12.21/12.43 cnf(fact_sym__def-3, axiom, ( c_Relation_Osym(_u19952, _u19954) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19952, _u19952)), hAPP(hAPP(c_Product__Type_OPair(_u19952, _u19952), skolem533(_u19954, _u19952)), skolem532(_u19954, _u19952))), _u19954)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__Int ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__Int-1, axiom, ( ~c_Relation_Osym(_u19955, _u19956) | ~c_Relation_Osym(_u19955, _u19957) | c_Relation_Osym(_u19955, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19955, _u19955), tc_HOL_Obool)), _u19956), _u19957)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__rtrancl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__rtrancl-1, axiom, ( ~c_Relation_Osym(_u19958, _u19959) | c_Relation_Osym(_u19958, c_Transitive__Closure_Ortrancl(_u19958, _u19959)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__Id ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__Id-1, axiom, ( c_Relation_Osym(_u19960, c_Relation_OId(_u19960)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__Un ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__Un-1, axiom, ( ~c_Relation_Osym(_u19961, _u19962) | ~c_Relation_Osym(_u19961, _u19963) | c_Relation_Osym(_u19961, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19961, _u19961), tc_HOL_Obool)), _u19962), _u19963)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__trancl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__trancl-1, axiom, ( ~c_Relation_Osym(_u19964, _u19965) | c_Relation_Osym(_u19964, c_Transitive__Closure_Otrancl(_u19964, _u19965)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__Id__on ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__Id__on-1, axiom, ( c_Relation_Osym(_u19966, c_Relation_OId__on(_u19966, _u19967)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_listrel__sym ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_listrel__sym-1, axiom, ( ~c_Relation_Osym(_u19968, _u19969) | c_Relation_Osym(tc_List_Olist(_u19968), c_List_Olistrel(_u19968, _u19969)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__conv__converse__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__conv__converse__eq-1, axiom, ( ~c_Relation_Osym(_u19972, _u19974) | ( hAPP(c_Relation_Oconverse(_u19972, _u19972), _u19974) = _u19974) )).
% 12.21/12.43 cnf(fact_sym__conv__converse__eq-2, axiom, ( ( hAPP(c_Relation_Oconverse(_u19973, _u19973), _u19975) != _u19975) | c_Relation_Osym(_u19973, _u19975) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__converse ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__converse-1, axiom, ( ~c_Relation_Osym(_u19978, hAPP(c_Relation_Oconverse(_u19978, _u19978), _u19980)) | c_Relation_Osym(_u19978, _u19980) )).
% 12.21/12.43 cnf(fact_sym__converse-2, axiom, ( ~c_Relation_Osym(_u19979, _u19981) | c_Relation_Osym(_u19979, hAPP(c_Relation_Oconverse(_u19979, _u19979), _u19981)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__Un__converse ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__Un__converse-1, axiom, ( c_Relation_Osym(_u19982, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19982, _u19982), tc_HOL_Obool)), _u19983), hAPP(c_Relation_Oconverse(_u19982, _u19982), _u19983))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__inv__image ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__inv__image-1, axiom, ( ~c_Relation_Osym(_u19984, _u19985) | c_Relation_Osym(_u19986, hAPP(hAPP(c_Relation_Oinv__image(_u19984, _u19986), _u19985), _u19987)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sym__Int__converse ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sym__Int__converse-1, axiom, ( c_Relation_Osym(_u19988, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19988, _u19988), tc_HOL_Obool)), _u19989), hAPP(c_Relation_Oconverse(_u19988, _u19988), _u19989))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equiv__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equiv__def-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u19993, _u19995, _u19997) | c_Relation_Orefl__on(_u19993, _u19995, _u19997) )).
% 12.21/12.43 cnf(fact_equiv__def-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u19993, _u19995, _u19997) | c_Relation_Osym(_u19993, _u19997) )).
% 12.21/12.43 cnf(fact_equiv__def-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u19993, _u19995, _u19997) | c_Relation_Otrans(_u19993, _u19997) )).
% 12.21/12.43 cnf(fact_equiv__def-4, axiom, ( ~c_Relation_Orefl__on(_u19994, _u19996, _u19998) | ~c_Relation_Osym(_u19994, _u19998) | ~c_Relation_Otrans(_u19994, _u19998) | c_Equiv__Relations_Oequiv(_u19994, _u19996, _u19998) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equivI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equivI-1, axiom, ( ~c_Relation_Orefl__on(_u19999, _u20000, _u20001) | ~c_Relation_Osym(_u19999, _u20001) | ~c_Relation_Otrans(_u19999, _u20001) | c_Equiv__Relations_Oequiv(_u19999, _u20000, _u20001) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equivE ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equivE-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20002, _u20003, _u20004) | c_Relation_Orefl__on(_u20002, _u20003, _u20004) )).
% 12.21/12.43 cnf(fact_equivE-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u20002, _u20003, _u20004) | c_Relation_Osym(_u20002, _u20004) )).
% 12.21/12.43 cnf(fact_equivE-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u20002, _u20003, _u20004) | c_Relation_Otrans(_u20002, _u20004) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_symp__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_symp__def-1, axiom, ( ~c_Predicate_Osymp(_u20007, _u20009) | c_Relation_Osym(_u20007, hAPP(c_Set_OCollect(tc_prod(_u20007, _u20007)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20007, _u20007, tc_HOL_Obool), _u20009))) )).
% 12.21/12.43 cnf(fact_symp__def-2, axiom, ( ~c_Relation_Osym(_u20008, hAPP(c_Set_OCollect(tc_prod(_u20008, _u20008)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20008, _u20008, tc_HOL_Obool), _u20010))) | c_Predicate_Osymp(_u20008, _u20010) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_part__equivpI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_part__equivpI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20012, _u20011), _u20011)) | ~c_Predicate_Osymp(_u20013, _u20012) | ~c_Predicate_Otransp(_u20013, _u20012) | c_Equiv__Relations_Opart__equivp(_u20013, _u20012) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_part__equivp__refl__symp__transp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_part__equivp__refl__symp__transp-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20018, _u20020) | hBOOL(hAPP(hAPP(_u20020, skolem534(_u20020, _u20018)), skolem534(_u20020, _u20018))) )).
% 12.21/12.43 cnf(fact_part__equivp__refl__symp__transp-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20018, _u20020) | c_Predicate_Osymp(_u20018, _u20020) )).
% 12.21/12.43 cnf(fact_part__equivp__refl__symp__transp-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20018, _u20020) | c_Predicate_Otransp(_u20018, _u20020) )).
% 12.21/12.43 cnf(fact_part__equivp__refl__symp__transp-4, axiom, ( ~hBOOL(hAPP(hAPP(_u20021, _u20015), _u20015)) | ~c_Predicate_Osymp(_u20019, _u20021) | ~c_Predicate_Otransp(_u20019, _u20021) | c_Equiv__Relations_Opart__equivp(_u20019, _u20021) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equivp__implies__part__equivp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equivp__implies__part__equivp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20022, _u20023) | c_Equiv__Relations_Opart__equivp(_u20022, _u20023) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_part__equivp__transp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_part__equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20025, _u20026), _u20027)) | ~hBOOL(hAPP(hAPP(_u20025, _u20027), _u20028)) | hBOOL(hAPP(hAPP(_u20025, _u20026), _u20028)) | ~c_Equiv__Relations_Opart__equivp(_u20024, _u20025) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_part__equivp__symp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_part__equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20030, _u20031), _u20032)) | hBOOL(hAPP(hAPP(_u20030, _u20032), _u20031)) | ~c_Equiv__Relations_Opart__equivp(_u20029, _u20030) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_part__equivp__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_part__equivp__def-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | hBOOL(hAPP(hAPP(_u20051, skolem535(_u20051)), skolem535(_u20051))) )).
% 12.21/12.43 cnf(fact_part__equivp__def-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | ~hBOOL(hAPP(hAPP(_u20051, _u20043), _u20041)) | hBOOL(hAPP(hAPP(_u20051, _u20043), _u20043)) )).
% 12.21/12.43 cnf(fact_part__equivp__def-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | ~hBOOL(hAPP(hAPP(_u20051, _u20043), _u20041)) | hBOOL(hAPP(hAPP(_u20051, _u20041), _u20041)) )).
% 12.21/12.43 cnf(fact_part__equivp__def-4, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | ~hBOOL(hAPP(hAPP(_u20051, _u20043), _u20041)) | ( hAPP(_u20051, _u20043) = hAPP(_u20051, _u20041)) )).
% 12.21/12.43 cnf(fact_part__equivp__def-5, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | ~hBOOL(hAPP(hAPP(_u20051, _u20044), _u20044)) | ~hBOOL(hAPP(hAPP(_u20051, _u20042), _u20042)) | ( hAPP(_u20051, _u20044) != hAPP(_u20051, _u20042)) | hBOOL(hAPP(hAPP(_u20051, _u20044), _u20042)) )).
% 12.21/12.43 cnf(fact_part__equivp__def-6, axiom, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem537(_u20052))) | hBOOL(hAPP(hAPP(_u20052, skolem538(_u20052)), skolem538(_u20052))) )).
% 12.21/12.43 cnf(fact_part__equivp__def-7, axiom, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem537(_u20052))) | hBOOL(hAPP(hAPP(_u20052, skolem539(_u20052)), skolem539(_u20052))) )).
% 12.21/12.43 cnf(fact_part__equivp__def-8, axiom, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem538(_u20052)) = hAPP(_u20052, skolem539(_u20052))) )).
% 12.21/12.43 cnf(fact_part__equivp__def-9, axiom, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem537(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem538(_u20052)), skolem539(_u20052))) )).
% 12.21/12.43 cnf(fact_part__equivp__def-10, axiom, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | ~hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem536(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem537(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem536(_u20052)) != hAPP(_u20052, skolem537(_u20052))) | hBOOL(hAPP(hAPP(_u20052, skolem538(_u20052)), skolem538(_u20052))) )).
% 12.21/12.43 cnf(fact_part__equivp__def-11, axiom, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | ~hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem536(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem537(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem536(_u20052)) != hAPP(_u20052, skolem537(_u20052))) | hBOOL(hAPP(hAPP(_u20052, skolem539(_u20052)), skolem539(_u20052))) )).
% 12.21/12.43 cnf(fact_part__equivp__def-12, axiom, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | ~hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem536(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem537(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem536(_u20052)) != hAPP(_u20052, skolem537(_u20052))) | ( hAPP(_u20052, skolem538(_u20052)) = hAPP(_u20052, skolem539(_u20052))) )).
% 12.21/12.43 cnf(fact_part__equivp__def-13, axiom, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | ~hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem536(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem537(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem536(_u20052)) != hAPP(_u20052, skolem537(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem538(_u20052)), skolem539(_u20052))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_part__equivpE ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_part__equivpE-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20054, _u20055) | hBOOL(hAPP(hAPP(_u20055, skolem540(_u20055, _u20054)), skolem540(_u20055, _u20054))) )).
% 12.21/12.43 cnf(fact_part__equivpE-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20054, _u20055) | c_Predicate_Osymp(_u20054, _u20055) )).
% 12.21/12.43 cnf(fact_part__equivpE-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20054, _u20055) | c_Predicate_Otransp(_u20054, _u20055) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_part__equivp__typedef ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_part__equivp__typedef-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20057, _u20058) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20057, tc_HOL_Obool)), skolem541(_u20058, _u20057)), hAPP(hAPP(c_COMBB(tc_fun(_u20057, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20057, tc_HOL_Obool)), c_HOL_OEx(_u20057)), hAPP(hAPP(c_COMBB(tc_fun(_u20057, tc_HOL_Obool), tc_fun(_u20057, tc_HOL_Obool), tc_fun(_u20057, tc_HOL_Obool)), hAPP(c_COMBS(_u20057, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20057), c_fconj), hAPP(hAPP(c_COMBS(_u20057, _u20057, tc_HOL_Obool), _u20058), c_COMBI(_u20057))))), hAPP(hAPP(c_COMBC(tc_fun(_u20057, tc_HOL_Obool), tc_fun(_u20057, tc_fun(_u20057, tc_HOL_Obool)), tc_fun(_u20057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20057, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20057, tc_fun(_u20057, tc_HOL_Obool)), tc_fun(_u20057, tc_HOL_Obool)), tc_fun(_u20057, tc_HOL_Obool)), c_COMBB(tc_fun(_u20057, tc_HOL_Obool), tc_HOL_Obool, _u20057)), c_fequal)), _u20058))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inj__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inj__iff-1, axiom, ( ~c_Fun_Oinj__on(_u20062, _u20064, _u20066, c_Orderings_Otop__class_Otop(tc_fun(_u20062, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20064, _u20062, _u20062, c_Hilbert__Choice_Oinv__into(_u20062, _u20064, c_Orderings_Otop__class_Otop(tc_fun(_u20062, tc_HOL_Obool)), _u20066)), _u20066) = c_Fun_Oid(_u20062)) )).
% 12.21/12.43 cnf(fact_inj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u20065, _u20063, _u20063, c_Hilbert__Choice_Oinv__into(_u20063, _u20065, c_Orderings_Otop__class_Otop(tc_fun(_u20063, tc_HOL_Obool)), _u20067)), _u20067) != c_Fun_Oid(_u20063)) | c_Fun_Oinj__on(_u20063, _u20065, _u20067, c_Orderings_Otop__class_Otop(tc_fun(_u20063, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__o__cancel ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20068, _u20069, _u20070, c_Orderings_Otop__class_Otop(tc_fun(_u20068, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20069, _u20068, _u20068, c_Hilbert__Choice_Oinv__into(_u20068, _u20069, c_Orderings_Otop__class_Otop(tc_fun(_u20068, tc_HOL_Obool)), _u20070)), _u20070) = c_Fun_Oid(_u20068)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20071, _u20072, c_Orderings_Otop__class_Otop(tc_fun(_u20071, tc_HOL_Obool)), _u20073), _u20074) = c_Hilbert__Choice_OEps(_u20071, hAPP(hAPP(c_COMBC(_u20071, _u20072, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20072, tc_fun(_u20072, tc_HOL_Obool), _u20071), c_fequal), _u20073)), _u20074))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__id ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__id-1, axiom, ( ( c_Hilbert__Choice_Oinv__into(_u20075, _u20075, c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool)), c_Fun_Oid(_u20075)) = c_Fun_Oid(_u20075)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__f__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u20076, _u20077, _u20078, c_Orderings_Otop__class_Otop(tc_fun(_u20076, tc_HOL_Obool))) | ( hAPP(_u20078, _u20079) != _u20080) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20076, _u20077, c_Orderings_Otop__class_Otop(tc_fun(_u20076, tc_HOL_Obool)), _u20078), _u20080) = _u20079) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__f__f ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20081, _u20082, _u20083, c_Orderings_Otop__class_Otop(tc_fun(_u20081, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20081, _u20082, c_Orderings_Otop__class_Otop(tc_fun(_u20081, tc_HOL_Obool)), _u20083), hAPP(_u20083, _u20084)) = _u20084) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__into__f__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u20085, _u20086, _u20087, _u20088) | ~hBOOL(hAPP(hAPP(c_member(_u20085), _u20089), _u20088)) | ( hAPP(_u20087, _u20089) != _u20090) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20085, _u20086, _u20088, _u20087), _u20090) = _u20089) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__into__f__f ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20091, _u20092, _u20093, _u20094) | ~hBOOL(hAPP(hAPP(c_member(_u20091), _u20095), _u20094)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20091, _u20092, _u20094, _u20093), hAPP(_u20093, _u20095)) = _u20095) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_f__inv__into__f ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_f__inv__into__f-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20096), _u20097), hAPP(c_Set_Oimage(_u20098, _u20096, _u20099), _u20100))) | ( hAPP(_u20099, hAPP(c_Hilbert__Choice_Oinv__into(_u20098, _u20096, _u20100, _u20099), _u20097)) = _u20097) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__into__into ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__into__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20101), _u20102), hAPP(c_Set_Oimage(_u20103, _u20101, _u20104), _u20105))) | hBOOL(hAPP(hAPP(c_member(_u20103), hAPP(c_Hilbert__Choice_Oinv__into(_u20103, _u20101, _u20105, _u20104), _u20102)), _u20105)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__into__injective ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__into__injective-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20106, _u20107, _u20108, _u20109), _u20110) != hAPP(c_Hilbert__Choice_Oinv__into(_u20106, _u20107, _u20108, _u20109), _u20111)) | ~hBOOL(hAPP(hAPP(c_member(_u20107), _u20110), hAPP(c_Set_Oimage(_u20106, _u20107, _u20109), _u20108))) | ~hBOOL(hAPP(hAPP(c_member(_u20107), _u20111), hAPP(c_Set_Oimage(_u20106, _u20107, _u20109), _u20108))) | ( _u20110 = _u20111) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_image__surj__f__inv__f ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_image__surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u20112, _u20113, _u20114), c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20113, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20112, _u20113, _u20114), hAPP(c_Set_Oimage(_u20113, _u20112, c_Hilbert__Choice_Oinv__into(_u20112, _u20113, c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool)), _u20114)), _u20115)) = _u20115) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_surj__f__inv__f ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u20116, _u20117, _u20118), c_Orderings_Otop__class_Otop(tc_fun(_u20116, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20117, tc_HOL_Obool))) | ( hAPP(_u20118, hAPP(c_Hilbert__Choice_Oinv__into(_u20116, _u20117, c_Orderings_Otop__class_Otop(tc_fun(_u20116, tc_HOL_Obool)), _u20118), _u20119)) = _u20119) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_surj__iff__all ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_surj__iff__all-1, axiom, ( ( hAPP(c_Set_Oimage(_u20125, _u20127, _u20129), c_Orderings_Otop__class_Otop(tc_fun(_u20125, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20127, tc_HOL_Obool))) | ( hAPP(_u20129, hAPP(c_Hilbert__Choice_Oinv__into(_u20125, _u20127, c_Orderings_Otop__class_Otop(tc_fun(_u20125, tc_HOL_Obool)), _u20129), _u20120)) = _u20120) )).
% 12.21/12.43 cnf(fact_surj__iff__all-2, axiom, ( ( hAPP(_u20130, hAPP(c_Hilbert__Choice_Oinv__into(_u20126, _u20128, c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool)), _u20130), skolem542(_u20130, _u20128, _u20126))) != skolem542(_u20130, _u20128, _u20126)) | ( hAPP(c_Set_Oimage(_u20126, _u20128, _u20130), c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20128, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_image__inv__into__cancel ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_image__inv__into__cancel-1, axiom, ( ( hAPP(c_Set_Oimage(_u20131, _u20132, _u20133), _u20134) != _u20135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20132, tc_HOL_Obool)), _u20136), _u20135)) | ( hAPP(c_Set_Oimage(_u20131, _u20132, _u20133), hAPP(c_Set_Oimage(_u20132, _u20131, c_Hilbert__Choice_Oinv__into(_u20131, _u20132, _u20134, _u20133)), _u20136)) = _u20136) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__into__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__into__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20137, _u20138, _u20139, _u20140), _u20141) = c_Hilbert__Choice_OEps(_u20137, hAPP(hAPP(c_COMBS(_u20137, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20137), c_fconj), hAPP(hAPP(c_COMBC(_u20137, tc_fun(_u20137, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20137)), _u20139))), hAPP(hAPP(c_COMBC(_u20137, _u20138, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20138, tc_fun(_u20138, tc_HOL_Obool), _u20137), c_fequal), _u20140)), _u20141)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_o__inv__o__cancel ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_o__inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20142, _u20143, _u20144, c_Orderings_Otop__class_Otop(tc_fun(_u20142, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20143, _u20145, _u20142, hAPP(c_Fun_Ocomp(_u20142, _u20145, _u20143, _u20146), c_Hilbert__Choice_Oinv__into(_u20142, _u20143, c_Orderings_Otop__class_Otop(tc_fun(_u20142, tc_HOL_Obool)), _u20144))), _u20144) = _u20146) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inj__imp__surj__inv ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inj__imp__surj__inv-1, axiom, ( ~c_Fun_Oinj__on(_u20147, _u20148, _u20149, c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20148, _u20147, c_Hilbert__Choice_Oinv__into(_u20147, _u20148, c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool)), _u20149)), c_Orderings_Otop__class_Otop(tc_fun(_u20148, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_image__inv__f__f ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_image__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20150, _u20151, _u20152, c_Orderings_Otop__class_Otop(tc_fun(_u20150, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20151, _u20150, c_Hilbert__Choice_Oinv__into(_u20150, _u20151, c_Orderings_Otop__class_Otop(tc_fun(_u20150, tc_HOL_Obool)), _u20152)), hAPP(c_Set_Oimage(_u20150, _u20151, _u20152), _u20153)) = _u20153) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__image__comp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__image__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20154, _u20155, _u20156, c_Orderings_Otop__class_Otop(tc_fun(_u20154, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20155, _u20154, c_Hilbert__Choice_Oinv__into(_u20154, _u20155, c_Orderings_Otop__class_Otop(tc_fun(_u20154, tc_HOL_Obool)), _u20156)), hAPP(c_Set_Oimage(_u20154, _u20155, _u20156), _u20157)) = _u20157) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_surj__imp__inj__inv ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_surj__imp__inj__inv-1, axiom, ( ( hAPP(c_Set_Oimage(_u20158, _u20159, _u20160), c_Orderings_Otop__class_Otop(tc_fun(_u20158, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20159, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20159, _u20158, c_Hilbert__Choice_Oinv__into(_u20158, _u20159, c_Orderings_Otop__class_Otop(tc_fun(_u20158, tc_HOL_Obool)), _u20160), c_Orderings_Otop__class_Otop(tc_fun(_u20159, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__into__image__cancel ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__into__image__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20161, _u20162, _u20163, _u20164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20161, tc_HOL_Obool)), _u20165), _u20164)) | ( hAPP(c_Set_Oimage(_u20162, _u20161, c_Hilbert__Choice_Oinv__into(_u20161, _u20162, _u20164, _u20163)), hAPP(c_Set_Oimage(_u20161, _u20162, _u20163), _u20165)) = _u20165) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inj__on__inv__into ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inj__on__inv__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20166, tc_HOL_Obool)), _u20167), hAPP(c_Set_Oimage(_u20168, _u20166, _u20169), _u20170))) | c_Fun_Oinj__on(_u20166, _u20168, c_Hilbert__Choice_Oinv__into(_u20168, _u20166, _u20170, _u20169), _u20167) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__into__comp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20171, _u20172, _u20173, hAPP(c_Set_Oimage(_u20174, _u20171, _u20175), _u20176)) | ~c_Fun_Oinj__on(_u20174, _u20171, _u20175, _u20176) | ~hBOOL(hAPP(hAPP(c_member(_u20172), _u20177), hAPP(c_Set_Oimage(_u20171, _u20172, _u20173), hAPP(c_Set_Oimage(_u20174, _u20171, _u20175), _u20176)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20174, _u20172, _u20176, hAPP(c_Fun_Ocomp(_u20171, _u20172, _u20174, _u20173), _u20175)), _u20177) = hAPP(hAPP(c_Fun_Ocomp(_u20171, _u20174, _u20172, c_Hilbert__Choice_Oinv__into(_u20174, _u20171, _u20176, _u20175)), c_Hilbert__Choice_Oinv__into(_u20171, _u20172, hAPP(c_Set_Oimage(_u20174, _u20171, _u20175), _u20176), _u20173)), _u20177)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_surj__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_surj__iff-1, axiom, ( ( hAPP(c_Set_Oimage(_u20181, _u20183, _u20185), c_Orderings_Otop__class_Otop(tc_fun(_u20181, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20183, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20181, _u20183, _u20183, _u20185), c_Hilbert__Choice_Oinv__into(_u20181, _u20183, c_Orderings_Otop__class_Otop(tc_fun(_u20181, tc_HOL_Obool)), _u20185)) = c_Fun_Oid(_u20183)) )).
% 12.21/12.43 cnf(fact_surj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u20182, _u20184, _u20184, _u20186), c_Hilbert__Choice_Oinv__into(_u20182, _u20184, c_Orderings_Otop__class_Otop(tc_fun(_u20182, tc_HOL_Obool)), _u20186)) != c_Fun_Oid(_u20184)) | ( hAPP(c_Set_Oimage(_u20182, _u20184, _u20186), c_Orderings_Otop__class_Otop(tc_fun(_u20182, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20184, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inj__transfer ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inj__transfer-1, axiom, ( ~c_Fun_Oinj__on(_u20188, _u20189, _u20190, c_Orderings_Otop__class_Otop(tc_fun(_u20188, tc_HOL_Obool))) | hBOOL(hAPP(_u20191, _u20192)) | hBOOL(hAPP(hAPP(c_member(_u20189), skolem543(_u20192, _u20191, _u20190, _u20189, _u20188)), hAPP(c_Set_Oimage(_u20188, _u20189, _u20190), c_Orderings_Otop__class_Otop(tc_fun(_u20188, tc_HOL_Obool))))) )).
% 12.21/12.43 cnf(fact_inj__transfer-2, axiom, ( ~c_Fun_Oinj__on(_u20188, _u20189, _u20190, c_Orderings_Otop__class_Otop(tc_fun(_u20188, tc_HOL_Obool))) | hBOOL(hAPP(_u20191, _u20192)) | ~hBOOL(hAPP(_u20191, hAPP(c_Hilbert__Choice_Oinv__into(_u20188, _u20189, c_Orderings_Otop__class_Otop(tc_fun(_u20188, tc_HOL_Obool)), _u20190), skolem543(_u20192, _u20191, _u20190, _u20189, _u20188)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_fold__image__UN__disjoint ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_fold__image__UN__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) )).
% 12.21/12.43 cnf(fact_fold__image__UN__disjoint-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) )).
% 12.21/12.43 cnf(fact_fold__image__UN__disjoint-3, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | ( skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196) != skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)) )).
% 12.21/12.43 cnf(fact_fold__image__UN__disjoint-4, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20199, tc_HOL_Obool)), hAPP(_u20200, skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196))), hAPP(_u20200, skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196))) != c_Orderings_Obot__class_Obot(tc_fun(_u20199, tc_HOL_Obool))) )).
% 12.21/12.43 cnf(fact_fold__image__UN__disjoint-5, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20199), hAPP(_u20200, skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) )).
% 12.21/12.43 cnf(fact_fold__image__UN__disjoint-6, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20199), hAPP(_u20200, skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) )).
% 12.21/12.43 cnf(fact_fold__image__UN__disjoint-7, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20199), hAPP(_u20200, skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | ( skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196) != skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)) )).
% 12.21/12.43 cnf(fact_fold__image__UN__disjoint-8, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20199), hAPP(_u20200, skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20199, tc_HOL_Obool)), hAPP(_u20200, skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196))), hAPP(_u20200, skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196))) != c_Orderings_Obot__class_Obot(tc_fun(_u20199, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_nat__of__cases ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_nat__of__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20203), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20203 = hAPP(c_Code__Numeral_Onat__of, skolem547(_u20203))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_nat__of__induct ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_nat__of__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20205), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20206, hAPP(c_Code__Numeral_Onat__of, skolem548(_u20206, _u20205)))) | hBOOL(hAPP(_u20206, _u20205)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_of__nat__cases ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_of__nat__cases-1, axiom, ( ( _u20208 = hAPP(c_Code__Numeral_Oof__nat, skolem549(_u20208))) )).
% 12.21/12.43 cnf(fact_of__nat__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem549(_u20208)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_of__nat__induct ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_of__nat__induct-1, axiom, ( hBOOL(hAPP(_u20210, _u20211)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem550(_u20211, _u20210)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.43 cnf(fact_of__nat__induct-2, axiom, ( hBOOL(hAPP(_u20210, _u20211)) | ~hBOOL(hAPP(_u20210, hAPP(c_Code__Numeral_Oof__nat, skolem550(_u20211, _u20210)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Orecs_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Orecs_I1_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20212, _u20213, _u20214, _u20215, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20213)) = _u20214) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20218), _u20220)) | ( c_Quickcheck_Obeyond(_u20218, _u20220) = _u20220) )).
% 12.21/12.43 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20219), _u20221)) | ( c_Quickcheck_Obeyond(_u20219, _u20221) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u20222, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Orecs_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Orecs_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20223, _u20224, _u20225, _u20226, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20224, _u20227, _u20228)) = hAPP(hAPP(hAPP(_u20226, _u20227), _u20228), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20223, _u20224, _u20225, _u20226, _u20228))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__image__Collect__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__image__Collect__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20229, _u20230, _u20231, c_Orderings_Otop__class_Otop(tc_fun(_u20229, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20230, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20229, _u20230, _u20231), hAPP(c_Set_OCollect(_u20229), _u20232)) = hAPP(c_Set_OCollect(_u20230), hAPP(hAPP(c_COMBB(_u20229, tc_HOL_Obool, _u20230), _u20232), c_Hilbert__Choice_Oinv__into(_u20229, _u20230, c_Orderings_Otop__class_Otop(tc_fun(_u20229, tc_HOL_Obool)), _u20231)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20233, _u20234, _u20235, _u20236), _u20237), _u20238) = hAPP(_u20236, hAPP(hAPP(c_Product__Type_OPair(_u20233, _u20234), _u20237), _u20238))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_curryI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u20239, hAPP(hAPP(c_Product__Type_OPair(_u20240, _u20241), _u20242), _u20243))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20240, _u20241, tc_HOL_Obool, _u20239), _u20242), _u20243)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__id ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__id-1, axiom, ( c_Fun_Obij__betw(_u20244, _u20244, c_Fun_Oid(_u20244), _u20245, _u20245) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__inv__into ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20246, _u20247, _u20248, _u20249, _u20250) | c_Fun_Obij__betw(_u20247, _u20246, c_Hilbert__Choice_Oinv__into(_u20246, _u20247, _u20249, _u20248), _u20250, _u20249) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__into__inv__into__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__into__inv__into__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20251, _u20252, _u20253, _u20254, _u20255) | ~hBOOL(hAPP(hAPP(c_member(_u20251), _u20256), _u20254)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20252, _u20251, _u20255, c_Hilbert__Choice_Oinv__into(_u20251, _u20252, _u20254, _u20253)), _u20256) = hAPP(_u20253, _u20256)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inv__inv__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inv__inv__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20257, _u20258, _u20259, c_Orderings_Otop__class_Otop(tc_fun(_u20257, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20258, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20258, _u20257, c_Orderings_Otop__class_Otop(tc_fun(_u20258, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20257, _u20258, c_Orderings_Otop__class_Otop(tc_fun(_u20257, tc_HOL_Obool)), _u20259)) = _u20259) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__imp__bij__inv ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__imp__bij__inv-1, axiom, ( ~c_Fun_Obij__betw(_u20260, _u20261, _u20262, c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20261, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20261, _u20260, c_Hilbert__Choice_Oinv__into(_u20260, _u20261, c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool)), _u20262), c_Orderings_Otop__class_Otop(tc_fun(_u20261, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_o__inv__distrib ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_o__inv__distrib-1, axiom, ( ~c_Fun_Obij__betw(_u20263, _u20264, _u20265, c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20264, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20266, _u20263, _u20267, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20266, _u20264, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20263, _u20264, _u20266, _u20265), _u20267)) = hAPP(c_Fun_Ocomp(_u20263, _u20266, _u20264, c_Hilbert__Choice_Oinv__into(_u20266, _u20263, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), _u20267)), c_Hilbert__Choice_Oinv__into(_u20263, _u20264, c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool)), _u20265))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__image__INT ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__image__INT-1, axiom, ( ~c_Fun_Obij__betw(_u20268, _u20269, _u20270, c_Orderings_Otop__class_Otop(tc_fun(_u20268, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20269, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20268, _u20269, _u20270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20271, tc_fun(_u20268, tc_HOL_Obool)), _u20272), _u20273)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20271, tc_fun(_u20269, tc_HOL_Obool)), _u20272), hAPP(hAPP(c_COMBB(tc_fun(_u20268, tc_HOL_Obool), tc_fun(_u20269, tc_HOL_Obool), _u20271), c_Set_Oimage(_u20268, _u20269, _u20270)), _u20273))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__comp__iff2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__comp__iff2-1, axiom, ( ~c_Fun_Obij__betw(_u20274, _u20275, _u20276, _u20277, _u20278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20274, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20279, _u20274, _u20280), _u20281)), _u20277)) | ~c_Fun_Obij__betw(_u20279, _u20274, _u20280, _u20281, _u20277) | c_Fun_Obij__betw(_u20279, _u20275, hAPP(c_Fun_Ocomp(_u20274, _u20275, _u20279, _u20276), _u20280), _u20281, _u20278) )).
% 12.21/12.43 cnf(fact_bij__betw__comp__iff2-2, axiom, ( ~c_Fun_Obij__betw(_u20274, _u20275, _u20276, _u20277, _u20278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20274, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20279, _u20274, _u20280), _u20281)), _u20277)) | ~c_Fun_Obij__betw(_u20279, _u20275, hAPP(c_Fun_Ocomp(_u20274, _u20275, _u20279, _u20276), _u20280), _u20281, _u20278) | c_Fun_Obij__betw(_u20279, _u20274, _u20280, _u20281, _u20277) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__trans ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__trans-1, axiom, ( ~c_Fun_Obij__betw(_u20282, _u20283, _u20284, _u20285, _u20286) | ~c_Fun_Obij__betw(_u20283, _u20287, _u20288, _u20286, _u20289) | c_Fun_Obij__betw(_u20282, _u20287, hAPP(c_Fun_Ocomp(_u20283, _u20287, _u20282, _u20288), _u20284), _u20285, _u20289) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__comp__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__comp__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20290, _u20291, _u20292, _u20293, _u20294) | ~c_Fun_Obij__betw(_u20291, _u20295, _u20296, _u20294, _u20297) | c_Fun_Obij__betw(_u20290, _u20295, hAPP(c_Fun_Ocomp(_u20291, _u20295, _u20290, _u20296), _u20292), _u20293, _u20297) )).
% 12.21/12.43 cnf(fact_bij__betw__comp__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20290, _u20291, _u20292, _u20293, _u20294) | ~c_Fun_Obij__betw(_u20290, _u20295, hAPP(c_Fun_Ocomp(_u20291, _u20295, _u20290, _u20296), _u20292), _u20293, _u20297) | c_Fun_Obij__betw(_u20291, _u20295, _u20296, _u20294, _u20297) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__comp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__comp-1, axiom, ( ~c_Fun_Obij__betw(_u20298, _u20299, _u20300, c_Orderings_Otop__class_Otop(tc_fun(_u20298, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20299, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20299, _u20301, _u20302, c_Orderings_Otop__class_Otop(tc_fun(_u20299, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20301, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20298, _u20301, hAPP(c_Fun_Ocomp(_u20299, _u20301, _u20298, _u20302), _u20300), c_Orderings_Otop__class_Otop(tc_fun(_u20298, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20301, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_curryE ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_curryE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20303, _u20304, tc_HOL_Obool, _u20305), _u20306), _u20307)) | hBOOL(hAPP(_u20305, hAPP(hAPP(c_Product__Type_OPair(_u20303, _u20304), _u20306), _u20307))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_curryD ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_curryD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20308, _u20309, tc_HOL_Obool, _u20310), _u20311), _u20312)) | hBOOL(hAPP(_u20310, hAPP(hAPP(c_Product__Type_OPair(_u20308, _u20309), _u20311), _u20312))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_curry__conv ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_curry__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20313, _u20314, _u20315, _u20316), _u20317), _u20318) = hAPP(_u20316, hAPP(hAPP(c_Product__Type_OPair(_u20313, _u20314), _u20317), _u20318))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20319, _u20320, _u20321), c_Product__Type_Ocurry(_u20319, _u20320, _u20321, _u20322)) = _u20322) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u20323, _u20324, _u20325, hAPP(c_Product__Type_Oprod_Oprod__case(_u20323, _u20324, _u20325), _u20326)) = _u20326) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_finite__vimage__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_finite__vimage__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20327, _u20328, _u20329, c_Orderings_Otop__class_Otop(tc_fun(_u20327, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20328, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20327), hAPP(c_Set_Ovimage(_u20327, _u20328, _u20329), _u20330))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20328), _u20330)) )).
% 12.21/12.43 cnf(fact_finite__vimage__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20327, _u20328, _u20329, c_Orderings_Otop__class_Otop(tc_fun(_u20327, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20328, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20328), _u20330)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20327), hAPP(c_Set_Ovimage(_u20327, _u20328, _u20329), _u20330))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__image__Compl__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__image__Compl__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20331, _u20332, _u20333, c_Orderings_Otop__class_Otop(tc_fun(_u20331, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20332, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20331, _u20332, _u20333), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20331, tc_HOL_Obool)), _u20334)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20332, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20331, _u20332, _u20333), _u20334))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__subset ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__subset-1, axiom, ( ~c_Fun_Obij__betw(_u20335, _u20336, _u20337, _u20338, _u20339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20335, tc_HOL_Obool)), _u20340), _u20338)) | ( hAPP(c_Set_Oimage(_u20335, _u20336, _u20337), _u20340) != _u20341) | c_Fun_Obij__betw(_u20335, _u20336, _u20337, _u20340, _u20341) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__is__surj ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__is__surj-1, axiom, ( ~c_Fun_Obij__betw(_u20342, _u20343, _u20344, c_Orderings_Otop__class_Otop(tc_fun(_u20342, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20343, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20342, _u20343, _u20344), c_Orderings_Otop__class_Otop(tc_fun(_u20342, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20343, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__imp__surj ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__imp__surj-1, axiom, ( ~c_Fun_Obij__betw(_u20345, _u20346, _u20347, _u20348, c_Orderings_Otop__class_Otop(tc_fun(_u20346, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20345, _u20346, _u20347), c_Orderings_Otop__class_Otop(tc_fun(_u20345, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20346, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__def-1, axiom, ( ~c_Fun_Obij__betw(_u20354, _u20356, _u20358, _u20360, _u20362) | c_Fun_Oinj__on(_u20354, _u20356, _u20358, _u20360) )).
% 12.21/12.43 cnf(fact_bij__betw__def-2, axiom, ( ~c_Fun_Obij__betw(_u20354, _u20356, _u20358, _u20360, _u20362) | ( hAPP(c_Set_Oimage(_u20354, _u20356, _u20358), _u20360) = _u20362) )).
% 12.21/12.43 cnf(fact_bij__betw__def-3, axiom, ( ~c_Fun_Oinj__on(_u20355, _u20357, _u20359, _u20361) | ( hAPP(c_Set_Oimage(_u20355, _u20357, _u20359), _u20361) != _u20363) | c_Fun_Obij__betw(_u20355, _u20357, _u20359, _u20361, _u20363) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inj__on__imp__bij__betw ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inj__on__imp__bij__betw-1, axiom, ( ~c_Fun_Oinj__on(_u20364, _u20365, _u20366, _u20367) | c_Fun_Obij__betw(_u20364, _u20365, _u20366, _u20367, hAPP(c_Set_Oimage(_u20364, _u20365, _u20366), _u20367)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__imp__inj__on ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__imp__inj__on-1, axiom, ( ~c_Fun_Obij__betw(_u20368, _u20369, _u20370, _u20371, _u20372) | c_Fun_Oinj__on(_u20368, _u20369, _u20370, _u20371) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__is__inj ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__is__inj-1, axiom, ( ~c_Fun_Obij__betw(_u20373, _u20374, _u20375, c_Orderings_Otop__class_Otop(tc_fun(_u20373, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20374, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20373, _u20374, _u20375, c_Orderings_Otop__class_Otop(tc_fun(_u20373, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__the__inv__into ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__the__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20376, _u20377, _u20378, _u20379, _u20380) | c_Fun_Obij__betw(_u20377, _u20376, c_Fun_Othe__inv__into(_u20376, _u20377, _u20379, _u20378), _u20380, _u20379) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__same__card ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__same__card-1, axiom, ( ~c_Fun_Obij__betw(_u20381, _u20382, _u20383, _u20384, _u20385) | ( hAPP(c_Finite__Set_Ocard(_u20381), _u20384) = hAPP(c_Finite__Set_Ocard(_u20382), _u20385)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__empty2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__empty2-1, axiom, ( ~c_Fun_Obij__betw(_u20386, _u20387, _u20388, _u20389, c_Orderings_Obot__class_Obot(tc_fun(_u20387, tc_HOL_Obool))) | ( _u20389 = c_Orderings_Obot__class_Obot(tc_fun(_u20386, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__empty1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__empty1-1, axiom, ( ( _u20393 = c_Orderings_Obot__class_Obot(tc_fun(_u20391, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20390, _u20391, _u20392, c_Orderings_Obot__class_Obot(tc_fun(_u20390, tc_HOL_Obool)), _u20393) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_BIJ ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_BIJ-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20396), _u20397)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20398), _u20399)) | ~c_Fun_Obij__betw(_u20396, _u20398, _u20394, _u20397, _u20399) | ( hAPP(c_Finite__Set_Ocard(_u20396), _u20397) = hAPP(c_Finite__Set_Ocard(_u20398), _u20399)) )).
% 12.21/12.43 cnf(fact_BIJ-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20396), _u20397)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20398), _u20399)) | ( hAPP(c_Finite__Set_Ocard(_u20396), _u20397) != hAPP(c_Finite__Set_Ocard(_u20398), _u20399)) | c_Fun_Obij__betw(_u20396, _u20398, skolem551(_u20399, _u20398, _u20397, _u20396), _u20397, _u20399) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__finite ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__finite-1, axiom, ( ~c_Fun_Obij__betw(_u20400, _u20401, _u20402, _u20403, _u20404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20400), _u20403)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20401), _u20404)) )).
% 12.21/12.43 cnf(fact_bij__betw__finite-2, axiom, ( ~c_Fun_Obij__betw(_u20400, _u20401, _u20402, _u20403, _u20404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20401), _u20404)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20400), _u20403)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__id__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__id__iff-1, axiom, ( ( _u20410 = _u20412) | ~c_Fun_Obij__betw(_u20408, _u20408, c_Fun_Oid(_u20408), _u20410, _u20412) )).
% 12.21/12.43 cnf(fact_bij__betw__id__iff-2, axiom, ( ( _u20411 != _u20413) | c_Fun_Obij__betw(_u20409, _u20409, c_Fun_Oid(_u20409), _u20411, _u20413) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__id ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__id-1, axiom, ( c_Fun_Obij__betw(_u20414, _u20414, c_Fun_Oid(_u20414), c_Orderings_Otop__class_Otop(tc_fun(_u20414, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20414, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__combine ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__combine-1, axiom, ( ~c_Fun_Obij__betw(_u20415, _u20416, _u20417, _u20418, _u20419) | ~c_Fun_Obij__betw(_u20415, _u20416, _u20417, _u20420, _u20421) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20416, tc_HOL_Obool)), _u20419), _u20421) != c_Orderings_Obot__class_Obot(tc_fun(_u20416, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20415, _u20416, _u20417, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20415, tc_HOL_Obool)), _u20418), _u20420), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20416, tc_HOL_Obool)), _u20419), _u20421)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__betw__Disj__Un ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__betw__Disj__Un-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20422, tc_HOL_Obool)), _u20423), _u20424) != c_Orderings_Obot__class_Obot(tc_fun(_u20422, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20425, tc_HOL_Obool)), _u20426), _u20427) != c_Orderings_Obot__class_Obot(tc_fun(_u20425, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20422, _u20425, _u20428, _u20423, _u20426) | ~c_Fun_Obij__betw(_u20422, _u20425, _u20428, _u20424, _u20427) | c_Fun_Obij__betw(_u20422, _u20425, _u20428, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20422, tc_HOL_Obool)), _u20423), _u20424), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20425, tc_HOL_Obool)), _u20426), _u20427)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__def-1, axiom, ( ~c_Fun_Obij__betw(_u20432, _u20434, _u20436, c_Orderings_Otop__class_Otop(tc_fun(_u20432, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20434, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20432, _u20434, _u20436, c_Orderings_Otop__class_Otop(tc_fun(_u20432, tc_HOL_Obool))) )).
% 12.21/12.43 cnf(fact_bij__def-2, axiom, ( ~c_Fun_Obij__betw(_u20432, _u20434, _u20436, c_Orderings_Otop__class_Otop(tc_fun(_u20432, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20434, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20432, _u20434, _u20436), c_Orderings_Otop__class_Otop(tc_fun(_u20432, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20434, tc_HOL_Obool))) )).
% 12.21/12.43 cnf(fact_bij__def-3, axiom, ( ~c_Fun_Oinj__on(_u20433, _u20435, _u20437, c_Orderings_Otop__class_Otop(tc_fun(_u20433, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20433, _u20435, _u20437), c_Orderings_Otop__class_Otop(tc_fun(_u20433, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20435, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20433, _u20435, _u20437, c_Orderings_Otop__class_Otop(tc_fun(_u20433, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20435, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bijI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bijI-1, axiom, ( ~c_Fun_Oinj__on(_u20438, _u20439, _u20440, c_Orderings_Otop__class_Otop(tc_fun(_u20438, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20438, _u20439, _u20440), c_Orderings_Otop__class_Otop(tc_fun(_u20438, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20439, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20438, _u20439, _u20440, c_Orderings_Otop__class_Otop(tc_fun(_u20438, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20439, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_vimage__subset__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_vimage__subset__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20441, _u20442, _u20443, c_Orderings_Otop__class_Otop(tc_fun(_u20441, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20442, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20441, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20441, _u20442, _u20443), _u20444)), _u20445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20442, tc_HOL_Obool)), _u20444), hAPP(c_Set_Oimage(_u20441, _u20442, _u20443), _u20445))) )).
% 12.21/12.43 cnf(fact_vimage__subset__eq-2, axiom, ( ~c_Fun_Obij__betw(_u20441, _u20442, _u20443, c_Orderings_Otop__class_Otop(tc_fun(_u20441, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20442, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20442, tc_HOL_Obool)), _u20444), hAPP(c_Set_Oimage(_u20441, _u20442, _u20443), _u20445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20441, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20441, _u20442, _u20443), _u20444)), _u20445)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bij__vimage__eq__inv__image ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bij__vimage__eq__inv__image-1, axiom, ( ~c_Fun_Obij__betw(_u20446, _u20447, _u20448, c_Orderings_Otop__class_Otop(tc_fun(_u20446, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20447, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u20446, _u20447, _u20448), _u20449) = hAPP(c_Set_Oimage(_u20447, _u20446, c_Hilbert__Choice_Oinv__into(_u20446, _u20447, c_Orderings_Otop__class_Otop(tc_fun(_u20446, tc_HOL_Obool)), _u20448)), _u20449)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_ex__bij__betw__nat__finite__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_ex__bij__betw__nat__finite__1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20451), _u20452)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20451, skolem552(_u20452, _u20451), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u20451), _u20452)), _u20452) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Cantor__Bernstein ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Cantor__Bernstein-1, axiom, ( ~c_Fun_Oinj__on(_u20454, _u20455, _u20456, _u20457) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20455, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20454, _u20455, _u20456), _u20457)), _u20458)) | ~c_Fun_Oinj__on(_u20455, _u20454, _u20459, _u20458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20454, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20455, _u20454, _u20459), _u20458)), _u20457)) | c_Fun_Obij__betw(_u20454, _u20455, skolem553(_u20459, _u20458, _u20457, _u20456, _u20455, _u20454), _u20457, _u20458) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_ex__bij__betw__nat__finite ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_ex__bij__betw__nat__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20461), _u20462)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20461, skolem554(_u20462, _u20461), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20461), _u20462)), _u20462) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_ex__bij__betw__finite__nat ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_ex__bij__betw__finite__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20464), _u20465)) | c_Fun_Obij__betw(_u20464, tc_Nat_Onat, skolem555(_u20465, _u20464), _u20465, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20464), _u20465))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_refl__on__UNION ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_refl__on__UNION-1, axiom, ( c_Relation_Orefl__on(_u20469, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20467, tc_fun(_u20469, tc_HOL_Obool)), _u20468), _u20470), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20467, tc_fun(tc_prod(_u20469, _u20469), tc_HOL_Obool)), _u20468), _u20471)) | hBOOL(hAPP(hAPP(c_member(_u20467), skolem556(_u20471, _u20470, _u20469, _u20468, _u20467)), _u20468)) )).
% 12.21/12.43 cnf(fact_refl__on__UNION-2, axiom, ( c_Relation_Orefl__on(_u20469, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20467, tc_fun(_u20469, tc_HOL_Obool)), _u20468), _u20470), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20467, tc_fun(tc_prod(_u20469, _u20469), tc_HOL_Obool)), _u20468), _u20471)) | ~c_Relation_Orefl__on(_u20469, hAPP(_u20470, skolem556(_u20471, _u20470, _u20469, _u20468, _u20467)), hAPP(_u20471, skolem556(_u20471, _u20470, _u20469, _u20468, _u20467))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bex__reg__eqv ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bex__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20476, _u20477) | ~hBOOL(hAPP(hAPP(c_member(_u20476), _u20472), c_Quotient_ORespects(_u20476, _u20477))) | ~hBOOL(hAPP(_u20478, _u20472)) | hBOOL(hAPP(_u20478, skolem557(_u20478, _u20477, _u20476))) )).
% 12.21/12.43 cnf(fact_bex__reg__eqv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20476, _u20477) | ~hBOOL(hAPP(_u20478, _u20474)) | hBOOL(hAPP(hAPP(c_member(_u20476), skolem558(_u20478, _u20477, _u20476)), c_Quotient_ORespects(_u20476, _u20477))) )).
% 12.21/12.43 cnf(fact_bex__reg__eqv-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20476, _u20477) | ~hBOOL(hAPP(_u20478, _u20474)) | hBOOL(hAPP(_u20478, skolem558(_u20478, _u20477, _u20476))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_in__respects ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_in__respects-1, axiom, ( hBOOL(hAPP(hAPP(_u20486, _u20484), _u20484)) | ~hBOOL(hAPP(hAPP(c_member(_u20482), _u20484), c_Quotient_ORespects(_u20482, _u20486))) )).
% 12.21/12.43 cnf(fact_in__respects-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20487, _u20485), _u20485)) | hBOOL(hAPP(hAPP(c_member(_u20483), _u20485), c_Quotient_ORespects(_u20483, _u20487))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Respects__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Respects__def-1, axiom, ( hBOOL(hAPP(hAPP(_u20493, _u20495), _u20495)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20491, _u20493), _u20495)) )).
% 12.21/12.43 cnf(fact_Respects__def-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20494, _u20496), _u20496)) | hBOOL(hAPP(c_Quotient_ORespects(_u20492, _u20494), _u20496)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bex__reg__right ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bex__reg__right-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20500, _u20501) | hBOOL(hAPP(_u20502, skolem559(_u20503, _u20502, _u20501, _u20500))) | ~hBOOL(hAPP(_u20502, _u20498)) | hBOOL(hAPP(hAPP(c_member(_u20500), skolem560(_u20503, _u20502, _u20501, _u20500)), c_Quotient_ORespects(_u20500, _u20501))) )).
% 12.21/12.43 cnf(fact_bex__reg__right-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20500, _u20501) | hBOOL(hAPP(_u20502, skolem559(_u20503, _u20502, _u20501, _u20500))) | ~hBOOL(hAPP(_u20502, _u20498)) | hBOOL(hAPP(_u20503, skolem560(_u20503, _u20502, _u20501, _u20500))) )).
% 12.21/12.43 cnf(fact_bex__reg__right-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20500, _u20501) | ~hBOOL(hAPP(_u20503, skolem559(_u20503, _u20502, _u20501, _u20500))) | ~hBOOL(hAPP(_u20502, _u20498)) | hBOOL(hAPP(hAPP(c_member(_u20500), skolem560(_u20503, _u20502, _u20501, _u20500)), c_Quotient_ORespects(_u20500, _u20501))) )).
% 12.21/12.43 cnf(fact_bex__reg__right-4, axiom, ( ~c_Equiv__Relations_Oequivp(_u20500, _u20501) | ~hBOOL(hAPP(_u20503, skolem559(_u20503, _u20502, _u20501, _u20500))) | ~hBOOL(hAPP(_u20502, _u20498)) | hBOOL(hAPP(_u20503, skolem560(_u20503, _u20502, _u20501, _u20500))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_babs__reg__eqv ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_babs__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20504, _u20505) | ( c_Quotient_OBabs(_u20504, _u20506, c_Quotient_ORespects(_u20504, _u20505), _u20507) = _u20507) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Babs__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Babs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20508), _u20509), _u20510)) | ( hAPP(c_Quotient_OBabs(_u20508, _u20511, _u20510, _u20512), _u20509) = hAPP(_u20512, _u20509)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_wf__weak__decr__stable ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_wf__weak__decr__stable-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20516, _u20516)), hAPP(hAPP(c_Product__Type_OPair(_u20516, _u20516), hAPP(_u20517, hAPP(c_Nat_OSuc, skolem561(_u20518, _u20517, _u20516)))), hAPP(_u20517, skolem561(_u20518, _u20517, _u20516)))), c_Transitive__Closure_Ortrancl(_u20516, _u20518))) | ~c_Wellfounded_Owf(_u20516, c_Transitive__Closure_Otrancl(_u20516, _u20518)) | ( hAPP(_u20517, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem562(_u20518, _u20517, _u20516)), _u20514)) = hAPP(_u20517, skolem562(_u20518, _u20517, _u20516))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_INT__greatest ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_INT__greatest-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20522, tc_HOL_Obool)), _u20523), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20520, tc_fun(_u20522, tc_HOL_Obool)), _u20521), _u20524))) | hBOOL(hAPP(hAPP(c_member(_u20520), skolem563(_u20524, _u20523, _u20522, _u20521, _u20520)), _u20521)) )).
% 12.21/12.43 cnf(fact_INT__greatest-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20522, tc_HOL_Obool)), _u20523), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20520, tc_fun(_u20522, tc_HOL_Obool)), _u20521), _u20524))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20522, tc_HOL_Obool)), _u20523), hAPP(_u20524, skolem563(_u20524, _u20523, _u20522, _u20521, _u20520)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_INT__anti__mono ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_INT__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), _u20527), _u20528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20529, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20526, tc_fun(_u20529, tc_HOL_Obool)), _u20528), _u20530)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20526, tc_fun(_u20529, tc_HOL_Obool)), _u20528), _u20531))) | hBOOL(hAPP(hAPP(c_member(_u20526), skolem564(_u20531, _u20530, _u20529, _u20528, _u20527, _u20526)), _u20528)) )).
% 12.21/12.43 cnf(fact_INT__anti__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), _u20527), _u20528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20529, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20526, tc_fun(_u20529, tc_HOL_Obool)), _u20528), _u20530)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20526, tc_fun(_u20529, tc_HOL_Obool)), _u20528), _u20531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20529, tc_HOL_Obool)), hAPP(_u20530, skolem564(_u20531, _u20530, _u20529, _u20528, _u20527, _u20526))), hAPP(_u20531, skolem564(_u20531, _u20530, _u20529, _u20528, _u20527, _u20526)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_rtrancl__induct2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20540), _u20541))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) | ~hBOOL(hAPP(hAPP(_u20543, _u20538), _u20539)) | hBOOL(hAPP(hAPP(_u20543, _u20540), _u20541)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), skolem565(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem566(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) )).
% 12.21/12.43 cnf(fact_rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20540), _u20541))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) | ~hBOOL(hAPP(hAPP(_u20543, _u20538), _u20539)) | hBOOL(hAPP(hAPP(_u20543, _u20540), _u20541)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), skolem565(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem566(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536))), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), skolem567(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem568(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)))), _u20542)) )).
% 12.21/12.43 cnf(fact_rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20540), _u20541))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) | ~hBOOL(hAPP(hAPP(_u20543, _u20538), _u20539)) | hBOOL(hAPP(hAPP(_u20543, _u20540), _u20541)) | hBOOL(hAPP(hAPP(_u20543, skolem565(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem566(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536))) )).
% 12.21/12.43 cnf(fact_rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20540), _u20541))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) | ~hBOOL(hAPP(hAPP(_u20543, _u20538), _u20539)) | hBOOL(hAPP(hAPP(_u20543, _u20540), _u20541)) | ~hBOOL(hAPP(hAPP(_u20543, skolem567(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem568(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_converse__rtranclE2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_converse__rtranclE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551))), c_Transitive__Closure_Ortrancl(tc_prod(_u20546, _u20547), _u20552))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549) = hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), skolem569(_u20552, _u20551, _u20550, _u20549, _u20548, _u20547, _u20546)), skolem570(_u20552, _u20551, _u20550, _u20549, _u20548, _u20547, _u20546)))), _u20552)) )).
% 12.21/12.43 cnf(fact_converse__rtranclE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551))), c_Transitive__Closure_Ortrancl(tc_prod(_u20546, _u20547), _u20552))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549) = hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), skolem569(_u20552, _u20551, _u20550, _u20549, _u20548, _u20547, _u20546)), skolem570(_u20552, _u20551, _u20550, _u20549, _u20548, _u20547, _u20546))), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551))), c_Transitive__Closure_Ortrancl(tc_prod(_u20546, _u20547), _u20552))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_converse__rtrancl__induct2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_converse__rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20559), _u20560)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) | ~hBOOL(hAPP(hAPP(_u20564, _u20561), _u20562)) | hBOOL(hAPP(hAPP(_u20564, _u20559), _u20560)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), skolem571(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem572(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557))), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), skolem573(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem574(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)))), _u20563)) )).
% 12.21/12.43 cnf(fact_converse__rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20559), _u20560)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) | ~hBOOL(hAPP(hAPP(_u20564, _u20561), _u20562)) | hBOOL(hAPP(hAPP(_u20564, _u20559), _u20560)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), skolem573(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem574(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557))), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) )).
% 12.21/12.43 cnf(fact_converse__rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20559), _u20560)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) | ~hBOOL(hAPP(hAPP(_u20564, _u20561), _u20562)) | hBOOL(hAPP(hAPP(_u20564, _u20559), _u20560)) | hBOOL(hAPP(hAPP(_u20564, skolem573(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem574(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557))) )).
% 12.21/12.43 cnf(fact_converse__rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20559), _u20560)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) | ~hBOOL(hAPP(hAPP(_u20564, _u20561), _u20562)) | hBOOL(hAPP(hAPP(_u20564, _u20559), _u20560)) | ~hBOOL(hAPP(hAPP(_u20564, skolem571(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem572(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_congruent2I_H ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_congruent2I_H-1, axiom, ( c_Equiv__Relations_Ocongruent2(_u20569, _u20571, _u20574, _u20570, _u20572, _u20573) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20569, _u20569)), hAPP(hAPP(c_Product__Type_OPair(_u20569, _u20569), skolem575(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)), skolem576(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569))), _u20570)) )).
% 12.21/12.43 cnf(fact_congruent2I_H-2, axiom, ( c_Equiv__Relations_Ocongruent2(_u20569, _u20571, _u20574, _u20570, _u20572, _u20573) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20571, _u20571)), hAPP(hAPP(c_Product__Type_OPair(_u20571, _u20571), skolem577(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)), skolem578(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569))), _u20572)) )).
% 12.21/12.43 cnf(fact_congruent2I_H-3, axiom, ( c_Equiv__Relations_Ocongruent2(_u20569, _u20571, _u20574, _u20570, _u20572, _u20573) | ( hAPP(hAPP(_u20573, skolem575(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)), skolem577(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)) != hAPP(hAPP(_u20573, skolem576(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)), skolem578(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_congruentI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_congruentI-1, axiom, ( c_Equiv__Relations_Ocongruent(_u20577, _u20580, _u20578, _u20579) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20577, _u20577)), hAPP(hAPP(c_Product__Type_OPair(_u20577, _u20577), skolem579(_u20580, _u20579, _u20578, _u20577)), skolem580(_u20580, _u20579, _u20578, _u20577))), _u20578)) )).
% 12.21/12.43 cnf(fact_congruentI-2, axiom, ( c_Equiv__Relations_Ocongruent(_u20577, _u20580, _u20578, _u20579) | ( hAPP(_u20579, skolem579(_u20580, _u20579, _u20578, _u20577)) != hAPP(_u20579, skolem580(_u20580, _u20579, _u20578, _u20577))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__03 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__03-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20581, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20581), _u20582, _u20583)) = c_Lazy__Sequence_Oappend(_u20581, _u20582, c_Lazy__Sequence_Oflat(_u20581, _u20583))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_all__interval__nat__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_all__interval__nat__def-1, axiom, ( ~c_List_Oall__interval__nat(_u20589, _u20591, _u20593) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20584), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20591), _u20593))) | hBOOL(hAPP(_u20589, _u20584)) )).
% 12.21/12.43 cnf(fact_all__interval__nat__def-2, axiom, ( c_List_Oall__interval__nat(_u20590, _u20592, _u20594) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem581(_u20594, _u20592, _u20590)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20592), _u20594))) )).
% 12.21/12.43 cnf(fact_all__interval__nat__def-3, axiom, ( c_List_Oall__interval__nat(_u20590, _u20592, _u20594) | ~hBOOL(hAPP(_u20590, skolem581(_u20594, _u20592, _u20590))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__04 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__04-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20595, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20595))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20595)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all__iff__all__interval__nat ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all__iff__all__interval__nat-1, axiom, ( ~c_List_Olist__all(tc_Nat_Onat, _u20599, c_List_Oupt(_u20601, _u20603)) | c_List_Oall__interval__nat(_u20599, _u20601, _u20603) )).
% 12.21/12.43 cnf(fact_list__all__iff__all__interval__nat-2, axiom, ( ~c_List_Oall__interval__nat(_u20600, _u20602, _u20604) | c_List_Olist__all(tc_Nat_Onat, _u20600, c_List_Oupt(_u20602, _u20604)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex__iff__not__all__inverval__nat ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex__iff__not__all__inverval__nat-1, axiom, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20608, c_List_Oupt(_u20610, _u20612)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20608), _u20610, _u20612) )).
% 12.21/12.43 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), _u20609), _u20611, _u20613) | c_List_Olist__ex(tc_Nat_Onat, _u20609, c_List_Oupt(_u20611, _u20613)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__05 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__05-1, axiom, ( ( hAPP(c_Lazy__Sequence_Obind(_u20614, _u20615, _u20616), _u20617) = c_Lazy__Sequence_Oflat(_u20615, c_Lazy__Sequence_Omap(_u20614, tc_Lazy__Sequence_Olazy__sequence(_u20615), _u20617, _u20616))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_folding__image_Ocong ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_folding__image_Ocong-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u20619, _u20620, _u20621, _u20622, _u20623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20620), _u20624)) | ( hAPP(hAPP(_u20623, _u20625), _u20624) = hAPP(hAPP(_u20623, _u20626), _u20624)) | hBOOL(hAPP(hAPP(c_member(_u20620), skolem582(_u20626, _u20625, _u20624, _u20623, _u20622, _u20621, _u20620)), _u20624)) )).
% 12.21/12.43 cnf(fact_folding__image_Ocong-2, axiom, ( ~c_Finite__Set_Ofolding__image(_u20619, _u20620, _u20621, _u20622, _u20623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20620), _u20624)) | ( hAPP(hAPP(_u20623, _u20625), _u20624) = hAPP(hAPP(_u20623, _u20626), _u20624)) | ( hAPP(_u20625, skolem582(_u20626, _u20625, _u20624, _u20623, _u20622, _u20621, _u20620)) != hAPP(_u20626, skolem582(_u20626, _u20625, _u20624, _u20623, _u20622, _u20621, _u20620))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__06 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__06-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20627, _u20628, _u20629, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20627, _u20630, _u20631)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20628, hAPP(_u20629, _u20630), c_Lazy__Sequence_Omap(_u20627, _u20628, _u20629, _u20631))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__07 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__07-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20632, _u20633, _u20634, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20632)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20633)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Opos__map__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Opos__map__def-1, axiom, ( ( c_New__DSequence_Opos__map(_u20635, _u20636, _u20637, _u20638, _u20639) = c_Lazy__Sequence_Omap(_u20635, _u20636, _u20637, hAPP(_u20638, _u20639))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_power__dvd__imp__le ( axiom ) converted to clauses:
% 12.21/12.43 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), _u20640), _u20641)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20640), _u20642))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20641), _u20642)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_Oorder__refl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_Oorder__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20643), _u20643)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20644) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20644), _u20645), c_Groups_Ozero__class_Ozero(_u20644))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__1__left ( axiom ) converted to clauses:
% 12.21/12.43 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))), _u20646)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__imp__le ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20647), _u20648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20647), _u20648)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mult__cancel ( axiom ) converted to clauses:
% 12.21/12.43 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), _u20649), _u20650)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20649), _u20651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20649)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20650), _u20651)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_nat__mult__dvd__cancel1 ( axiom ) converted to clauses:
% 12.21/12.43 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)), _u20652)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20652), _u20653)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20652), _u20654))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20653), _u20654)) )).
% 12.21/12.43 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)), _u20652)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20653), _u20654)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20652), _u20653)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20652), _u20654))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_setprod__dvd__setprod__subset ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_setprod__dvd__setprod__subset-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20655) | ~class_Rings_Odvd(_u20655) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20656), _u20657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20656, tc_HOL_Obool)), _u20658), _u20657)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20655), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20656, _u20655), _u20659), _u20658)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20656, _u20655), _u20659), _u20657))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20662) | ~class_Rings_Odvd(_u20662) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), _u20664)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20662), _u20668), _u20665))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20662), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20662), _u20668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20662), _u20666), _u20664))), _u20665))) )).
% 12.21/12.43 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20662) | ~class_Rings_Odvd(_u20662) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), _u20664)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20662), _u20669), _u20665))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20662), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20662), _u20669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20662), _u20667), _u20664))), _u20665))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20672) | ~class_Rings_Odvd(_u20672) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), _u20674)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20672), _u20678), _u20675))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20672), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20672), _u20678), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20672), _u20676), _u20674))), _u20675))) )).
% 12.21/12.43 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20672) | ~class_Rings_Odvd(_u20672) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), _u20674)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20672), _u20679), _u20675))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20672), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20672), _u20679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20672), _u20677), _u20674))), _u20675))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__div__eq__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20680) | ( _u20681 = c_Groups_Ozero__class_Ozero(_u20680)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20680), _u20681), _u20682)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20680), _u20682), _u20681) != _u20683) | ( _u20682 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20680), _u20683), _u20681)) )).
% 12.21/12.43 cnf(fact_dvd__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20680) | ( _u20681 = c_Groups_Ozero__class_Ozero(_u20680)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20680), _u20681), _u20682)) | ( _u20682 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20680), _u20683), _u20681)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20680), _u20682), _u20681) = _u20683) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__div__div__eq__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__div__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20684) | ( _u20685 = c_Groups_Ozero__class_Ozero(_u20684)) | ( _u20686 = c_Groups_Ozero__class_Ozero(_u20684)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20684), _u20685), _u20687)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20684), _u20686), _u20688)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20684), _u20687), _u20685) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20684), _u20688), _u20686)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20684), _u20687), _u20686) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20684), _u20685), _u20688)) )).
% 12.21/12.43 cnf(fact_dvd__div__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20684) | ( _u20685 = c_Groups_Ozero__class_Ozero(_u20684)) | ( _u20686 = c_Groups_Ozero__class_Ozero(_u20684)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20684), _u20685), _u20687)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20684), _u20686), _u20688)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20684), _u20687), _u20686) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20684), _u20685), _u20688)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20684), _u20687), _u20685) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20684), _u20688), _u20686)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mult__div__cancel ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mult__div__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u20689) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20689), _u20690), _u20691)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20689), _u20690), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20689), _u20691), _u20690)) = _u20691) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_div__mult__swap ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_div__mult__swap-1, axiom, ( ~class_Divides_Osemiring__div(_u20692) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20692), _u20693), _u20694)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20692), _u20695), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20692), _u20694), _u20693)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20692), _u20695), _u20694)), _u20693)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__div__mult__self ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__div__mult__self-1, axiom, ( ~class_Divides_Osemiring__div(_u20696) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20696), _u20697), _u20698)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20696), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20696), _u20698), _u20697)), _u20697) = _u20698) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__div__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__div__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20699) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20699), _u20700), _u20701)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20699), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20699), _u20701), _u20700)), _u20702) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20699), _u20701), _u20702)), _u20700)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_div__mult__div__if__dvd ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_div__mult__div__if__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u20703) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20703), _u20704), _u20705)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20703), _u20706), _u20707)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20703), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20703), _u20705), _u20704)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20703), _u20707), _u20706)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20703), _u20705), _u20707)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20703), _u20704), _u20706))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20708) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20708), _u20709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20708), _u20709), _u20710))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20711) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20711), _u20713), _u20712))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20714) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20714), _u20715), _u20716)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20714), _u20715), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20714), _u20716), _u20717))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20718) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20718), _u20719), _u20720)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20718), _u20719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20718), _u20721), _u20720))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 12.21/12.43 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))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u20727) | ( _u20728 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20727), _u20729), _u20730)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20727), _u20729), _u20728)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20731) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20731), _u20732), _u20733)), _u20734)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20731), _u20732), _u20734)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20735) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20735), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20735), _u20736), _u20737)), _u20738)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20735), _u20737), _u20738)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u20739) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20742))) | ( _u20740 = c_Groups_Ozero__class_Ozero(_u20739)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), _u20741), _u20742)) )).
% 12.21/12.43 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u20739) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20742))) | ( _u20740 != c_Groups_Ozero__class_Ozero(_u20739)) )).
% 12.21/12.43 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u20739) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20742))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), _u20741), _u20742)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u20743) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20744), _u20745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20746), _u20745))) | ( _u20745 = c_Groups_Ozero__class_Ozero(_u20743)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), _u20744), _u20746)) )).
% 12.21/12.43 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u20743) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20744), _u20745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20746), _u20745))) | ( _u20745 != c_Groups_Ozero__class_Ozero(_u20743)) )).
% 12.21/12.43 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u20743) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20744), _u20745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20746), _u20745))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), _u20744), _u20746)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_nat__mult__dvd__cancel__disj ( axiom ) converted to clauses:
% 12.21/12.43 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), _u20750), _u20752)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20750), _u20754))) | ( _u20750 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20752), _u20754)) )).
% 12.21/12.43 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), _u20751), _u20753)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20751), _u20755))) | ( _u20751 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43 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), _u20751), _u20753)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20751), _u20755))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20753), _u20755)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u20760) | ~class_Rings_Osemiring__0(_u20760) | ~hBOOL(hAPP(_u20761, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20760), _u20762), _u20756))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20760), _u20762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20760), skolem583(_u20762, _u20761, _u20760)), c_Groups_Ozero__class_Ozero(_u20760)))) )).
% 12.21/12.43 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u20760) | ~class_Rings_Osemiring__0(_u20760) | ~hBOOL(hAPP(_u20761, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20760), _u20762), _u20756))) | hBOOL(hAPP(_u20761, skolem583(_u20762, _u20761, _u20760))) )).
% 12.21/12.43 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u20760) | ~class_Rings_Osemiring__0(_u20760) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20760), _u20762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20760), _u20758), c_Groups_Ozero__class_Ozero(_u20760)))) | ~hBOOL(hAPP(_u20761, _u20758)) | hBOOL(hAPP(_u20761, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20760), _u20762), skolem584(_u20762, _u20761, _u20760)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OatLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_OatLeastAtMost__singleton_H-1, axiom, ( ( _u20763 != _u20764) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20763, _u20764) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20763), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OatLeastAtMost__singleton ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_OatLeastAtMost__singleton-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20765, _u20765) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20765), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OatLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_OatLeastAtMost__singleton__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20769, _u20771) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20773), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20769 = _u20771) )).
% 12.21/12.43 cnf(fact_dvd_OatLeastAtMost__singleton__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20769, _u20771) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20773), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20771 = _u20773) )).
% 12.21/12.43 cnf(fact_dvd_OatLeastAtMost__singleton__iff-3, axiom, ( ( _u20770 != _u20772) | ( _u20772 != _u20774) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20770, _u20772) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20774), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OatLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 12.21/12.43 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)))), _u20777, _u20779)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20777), _u20779)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20779), _u20777)) )).
% 12.21/12.43 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)))), _u20778, _u20780)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20778), _u20780)) )).
% 12.21/12.43 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)))), _u20778, _u20780)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20780), _u20778)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 12.21/12.43 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)))), _u20783, _u20785)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20783), _u20785)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20785), _u20783)) )).
% 12.21/12.43 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)))), _u20784, _u20786)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20784), _u20786)) )).
% 12.21/12.43 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)))), _u20784, _u20786)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20786), _u20784)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OatLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 12.21/12.43 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)))), _u20789, _u20791) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20789), _u20791)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20791), _u20789)) )).
% 12.21/12.43 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)))), _u20790, _u20792) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20790), _u20792)) )).
% 12.21/12.43 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)))), _u20790, _u20792) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20792), _u20790)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 12.21/12.43 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)))), _u20795, _u20797) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20795), _u20797)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20797), _u20795)) )).
% 12.21/12.43 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)))), _u20796, _u20798) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20796), _u20798)) )).
% 12.21/12.43 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)))), _u20796, _u20798) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20798), _u20796)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OgreaterThanLessThan__empty ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_OgreaterThanLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20799), _u20800)) | ( 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)))), _u20800, _u20799) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OatLeastLessThan__empty ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_OatLeastLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20801), _u20802)) | ( 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)))), _u20802, _u20801) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OgreaterThanAtMost__empty ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_OgreaterThanAtMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20803), _u20804)) | ( 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)))), _u20804, _u20803) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OatLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 12.21/12.43 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), _u20807, _u20809)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20807), _u20809)) )).
% 12.21/12.43 cnf(fact_dvd_OatLeastatMost__empty__iff2-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20808), _u20810)) | ( 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), _u20808, _u20810)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OatLeastatMost__empty__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_OatLeastatMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20813, _u20815) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20813), _u20815)) )).
% 12.21/12.43 cnf(fact_dvd_OatLeastatMost__empty__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20814), _u20816)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20814, _u20816) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_OatLeastatMost__empty ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_OatLeastatMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20817), _u20818)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20818), _u20817)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20818, _u20817) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__div__neg ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__div__neg-1, axiom, ( ~class_Divides_Oring__div(_u20819) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20819), _u20820), _u20821)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20819), _u20821), hAPP(c_Groups_Ouminus__class_Ouminus(_u20819), _u20820)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20819), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20819), _u20821), _u20820))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__neg__div ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__neg__div-1, axiom, ( ~class_Divides_Oring__div(_u20822) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20822), _u20823), _u20824)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20822), hAPP(c_Groups_Ouminus__class_Ouminus(_u20822), _u20824)), _u20823) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20822), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20822), _u20824), _u20823))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_minus__dvd__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_minus__dvd__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u20825) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20825), hAPP(c_Groups_Ouminus__class_Ouminus(_u20825), _u20826)), _u20827)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20825), _u20826), _u20827)) )).
% 12.21/12.43 cnf(fact_minus__dvd__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u20825) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20825), _u20826), _u20827)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20825), hAPP(c_Groups_Ouminus__class_Ouminus(_u20825), _u20826)), _u20827)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__minus__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__minus__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u20828) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), hAPP(c_Groups_Ouminus__class_Ouminus(_u20828), _u20830))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), _u20830)) )).
% 12.21/12.43 cnf(fact_dvd__minus__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u20828) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), _u20830)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), hAPP(c_Groups_Ouminus__class_Ouminus(_u20828), _u20830))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__1__iff__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20832), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u20832 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.43 cnf(fact_dvd__1__iff__1-2, axiom, ( ( _u20833 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20833), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__imp__mod__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__imp__mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u20834) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20834), _u20835), _u20836)) | ( c_Divides_Odiv__class_Omod(_u20834, _u20836, _u20835) = c_Groups_Ozero__class_Ozero(_u20834)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__eq__mod__eq__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__eq__mod__eq__0-1, axiom, ( ~class_Divides_Osemiring__div(_u20837) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20837), _u20838), _u20839)) | ( c_Divides_Odiv__class_Omod(_u20837, _u20839, _u20838) = c_Groups_Ozero__class_Ozero(_u20837)) )).
% 12.21/12.43 cnf(fact_dvd__eq__mod__eq__0-2, axiom, ( ~class_Divides_Osemiring__div(_u20837) | ( c_Divides_Odiv__class_Omod(_u20837, _u20839, _u20838) != c_Groups_Ozero__class_Ozero(_u20837)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20837), _u20838), _u20839)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_div__dvd__div ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_div__dvd__div-1, axiom, ( ~class_Divides_Osemiring__div(_u20840) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20841), _u20842)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20841), _u20843)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20840), _u20842), _u20841)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20840), _u20843), _u20841))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20842), _u20843)) )).
% 12.21/12.43 cnf(fact_div__dvd__div-2, axiom, ( ~class_Divides_Osemiring__div(_u20840) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20841), _u20842)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20841), _u20843)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20842), _u20843)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20840), _u20842), _u20841)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20840), _u20843), _u20841))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__0__left ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20844) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20844), c_Groups_Ozero__class_Ozero(_u20844)), _u20845)) | ( _u20845 = c_Groups_Ozero__class_Ozero(_u20844)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mod__imp__dvd ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mod__imp__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u20846) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20846), _u20847), c_Divides_Odiv__class_Omod(_u20846, _u20848, _u20849))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20846), _u20847), _u20849)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20846), _u20847), _u20848)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mod ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mod-1, axiom, ( ~class_Divides_Osemiring__div(_u20850) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20850), _u20851), _u20852)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20850), _u20851), _u20853)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20850), _u20851), c_Divides_Odiv__class_Omod(_u20850, _u20852, _u20853))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_mod__mod__cancel ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_mod__mod__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u20854) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20854), _u20855), _u20856)) | ( c_Divides_Odiv__class_Omod(_u20854, c_Divides_Odiv__class_Omod(_u20854, _u20857, _u20856), _u20855) = c_Divides_Odiv__class_Omod(_u20854, _u20857, _u20855)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__mod__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__mod__iff-1, axiom, ( ~class_Divides_Osemiring__div(_u20858) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), _u20860)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), c_Divides_Odiv__class_Omod(_u20858, _u20861, _u20860))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), _u20861)) )).
% 12.21/12.43 cnf(fact_dvd__mod__iff-2, axiom, ( ~class_Divides_Osemiring__div(_u20858) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), _u20860)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), _u20861)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), c_Divides_Odiv__class_Omod(_u20858, _u20861, _u20860))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__trans ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__trans-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20862) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), _u20864)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20864), _u20865)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), _u20865)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd__refl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd__refl-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20866) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20866), _u20867), _u20867)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_Oless__asym ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_Oless__asym, axiom, $true).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dvd_Oless__trans ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dvd_Oless__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20870), _u20871)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20870)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20872)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20872), _u20871)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20870), _u20872)) )).
% 12.21/12.43 cnf(fact_dvd_Oless__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20870), _u20871)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20870)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20872)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20872), _u20871)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20872), _u20870)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20873) | class_Lattices_Obounded__lattice(tc_fun(_u20874, _u20873)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20875) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20876, _u20875)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20877) | class_Lattices_Obounded__lattice__top(tc_fun(_u20878, _u20877)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20879) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20880, _u20879)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20881) | class_Lattices_Osemilattice__sup(tc_fun(_u20882, _u20881)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20883) | class_Lattices_Osemilattice__inf(tc_fun(_u20884, _u20883)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20885) | class_Lattices_Odistrib__lattice(tc_fun(_u20886, _u20885)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20887) | class_Lattices_Oboolean__algebra(tc_fun(_u20888, _u20887)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20889) | class_Orderings_Opreorder(tc_fun(_u20890, _u20889)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20891) | ~class_Finite__Set_Ofinite(_u20892) | class_Finite__Set_Ofinite(tc_fun(_u20891, _u20892)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20893) | class_Lattices_Olattice(tc_fun(_u20894, _u20893)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20895) | class_Orderings_Oorder(tc_fun(_u20896, _u20895)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20897) | class_Orderings_Otop(tc_fun(_u20898, _u20897)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20899) | class_Orderings_Oord(tc_fun(_u20900, _u20899)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20901) | class_Orderings_Obot(tc_fun(_u20902, _u20901)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20903) | class_Groups_Ouminus(tc_fun(_u20904, _u20903)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20905) | class_Groups_Ominus(tc_fun(_u20906, _u20905)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20907) | ~class_Enum_Oenum(_u20908) | class_Enum_Oenum(tc_fun(_u20907, _u20908)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Com__Ocom__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Com__Ocom__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ocom) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nat__Onat__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nat__Onat__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nat_Onat) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_HOL__Obool__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_HOL__Obool__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_HOL_Obool) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Com__Ostate__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Com__Ostate__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ostate) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_List__Olist__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_List__Olist__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20909) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20909)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_List__Olist__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_List__Olist__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_List_Olist(_u20910)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20911) | ~class_Finite__Set_Ofinite(_u20912) | class_Finite__Set_Ofinite(tc_sum(_u20911, _u20912)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_sum__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_sum__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20913) | ~class_Enum_Oenum(_u20914) | class_Enum_Oenum(tc_sum(_u20913, _u20914)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_sum__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_sum__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_sum(_u20915, _u20916)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20917) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20917)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Option__Ooption__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Option__Ooption__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20918) | class_Enum_Oenum(tc_Option_Ooption(_u20918)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Option__Ooption__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Option__Ooption__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Option_Ooption(_u20919)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Nitpick__Opair____box__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Nitpick__Opair____box__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20920, _u20921)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_prod__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_prod__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20922) | ~class_Lazy__Sequence_Osmall__lazy(_u20923) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20922, _u20923)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20924) | ~class_Finite__Set_Ofinite(_u20925) | class_Finite__Set_Ofinite(tc_prod(_u20924, _u20925)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_prod__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_prod__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20926) | ~class_Enum_Oenum(_u20927) | class_Enum_Oenum(tc_prod(_u20926, _u20927)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_prod__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_prod__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_prod(_u20928, _u20929)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Product____Type__Ounit__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Product____Type__Ounit__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Product____Type__Ounit__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Product____Type__Ounit__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Evaluation__Oterm__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Evaluation__Oterm__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Hoare____Mirabelle__Otriple__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Hoare____Mirabelle__Otriple__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20930)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 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) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.21/12.44 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) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Odvd ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.44
% 12.21/12.44 % Formula: arity_Lazy____Sequence__Olazy____sequence__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.44 cnf(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20931)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20932), _u20933) = _u20933) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u20934, _u20935), _u20936), _u20937) = _u20936) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20938, _u20939, _u20940), _u20941), _u20942), _u20943) = hAPP(_u20941, hAPP(_u20942, _u20943))) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20944, _u20945, _u20946), _u20947), _u20948), _u20949) = hAPP(hAPP(_u20947, _u20949), _u20948)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20950, _u20951, _u20952), _u20953), _u20954), _u20955) = hAPP(hAPP(_u20953, _u20955), hAPP(_u20954, _u20955))) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20956), _u20957)) | ( _u20956 = _u20957) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fequal__2-1, axiom, ( ( _u20958 != _u20959) | hBOOL(hAPP(hAPP(c_fequal, _u20958), _u20959)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u20960)) | ~hBOOL(_u20960) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u20961) | hBOOL(hAPP(c_fNot, _u20961)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u20963) | ~hBOOL(_u20962) | hBOOL(hAPP(hAPP(c_fconj, _u20962), _u20963)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20964), _u20965)) | hBOOL(_u20964) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u20967) | ~hBOOL(hAPP(hAPP(c_fconj, _u20966), _u20967)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u20968) | hBOOL(hAPP(hAPP(c_fdisj, _u20968), _u20969)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u20970) | hBOOL(hAPP(hAPP(c_fdisj, _u20971), _u20970)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u20973) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20972), _u20973)) | hBOOL(_u20972) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u20974) | hBOOL(hAPP(hAPP(c_fimplies, _u20974), _u20975)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u20976) | hBOOL(hAPP(hAPP(c_fimplies, _u20977), _u20976)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 12.21/12.44 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u20979) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20978), _u20979)) | ~hBOOL(_u20978) )).
% 12.21/12.44
% 12.21/12.44 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 12.21/12.44 cnf(conj_0-1, hypothesis, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, _u20980)), hAPP(v_c0, _u20980)), hAPP(v_Q_H, _u20980))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, _u20980)), hAPP(v_c0, _u20980)), hAPP(v_Q, _u20980))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) )).
% 12.21/12.44
% 12.21/12.44 % Formula: conj_1 ( hypothesis ) converted to clauses:
% 12.21/12.44 cnf(conj_1-1, hypothesis, ( hBOOL(hAPP(c_Finite__Set_Ofinite(t_a), v_F)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: conj_2 ( hypothesis ) converted to clauses:
% 12.21/12.44 cnf(conj_2-1, hypothesis, ( ~hBOOL(hAPP(hAPP(c_member(t_a), v_x), v_F)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: conj_3 ( hypothesis ) converted to clauses:
% 12.21/12.44 cnf(conj_3-1, hypothesis, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F)) | c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: conj_4 ( hypothesis ) converted to clauses:
% 12.21/12.44 cnf(conj_4-1, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q_H, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(conj_4-2, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F)) )).
% 12.21/12.44
% 12.21/12.44 % Formula: conj_5 ( conjecture ) (definitionally) converted to clauses:
% 12.21/12.44 cnf(conj_5-1, negated_conjecture, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) )).
% 12.21/12.44
% 12.21/12.44 % Problem matrix:
% 12.21/12.44 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.21/12.44 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.21/12.44 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.21/12.44 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-10, 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)) )).
% 12.21/12.44 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-13, 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)) )).
% 12.21/12.44 cnf(matrix-14, 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)) )).
% 12.21/12.44 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-17, 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)) )).
% 12.21/12.44 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OSemi(__eqx_0, __eqx_1) = c_Com_Ocom_OSemi(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-20, 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)) )).
% 12.21/12.44 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OWhile(__eqx_0, __eqx_1) = c_Com_Ocom_OWhile(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-24, 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)) )).
% 12.21/12.44 cnf(matrix-25, 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)) )).
% 12.21/12.44 cnf(matrix-26, 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)) )).
% 12.21/12.44 cnf(matrix-27, 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)) )).
% 12.21/12.44 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-29, 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)) )).
% 12.21/12.44 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ooverride__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ooverride__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-31, 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)) )).
% 12.21/12.44 cnf(matrix-32, 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)) )).
% 12.21/12.44 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-36, 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)) )).
% 12.21/12.44 cnf(matrix-37, 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)) )).
% 12.21/12.44 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-40, 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)) )).
% 12.21/12.44 cnf(matrix-41, 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)) )).
% 12.21/12.44 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-43, 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)) )).
% 12.21/12.44 cnf(matrix-44, 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)) )).
% 12.21/12.44 cnf(matrix-45, 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)) )).
% 12.21/12.44 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)) )).
% 12.21/12.44 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-49, 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)) )).
% 12.21/12.44 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-56, 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)) )).
% 12.21/12.44 cnf(matrix-57, 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)) )).
% 12.21/12.44 cnf(matrix-58, 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)) )).
% 12.21/12.44 cnf(matrix-59, 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)) )).
% 12.21/12.44 cnf(matrix-60, 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)) )).
% 12.21/12.44 cnf(matrix-61, 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)) )).
% 12.21/12.44 cnf(matrix-62, 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)) )).
% 12.21/12.44 cnf(matrix-63, 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)) )).
% 12.21/12.44 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-65, 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)) )).
% 12.21/12.44 cnf(matrix-66, 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)) )).
% 12.21/12.44 cnf(matrix-67, 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)) )).
% 12.21/12.44 cnf(matrix-68, 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)) )).
% 12.21/12.44 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-70, 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)) )).
% 12.21/12.44 cnf(matrix-71, 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)) )).
% 12.21/12.44 cnf(matrix-72, 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)) )).
% 12.21/12.44 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Hoare__Mirabelle_Otriple_Otriple__size(__eqx_0, __eqx_1, __eqx_2) = c_Hoare__Mirabelle_Otriple_Otriple__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-79, 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)) )).
% 12.21/12.44 cnf(matrix-80, 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)) )).
% 12.21/12.44 cnf(matrix-81, 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)) )).
% 12.21/12.44 cnf(matrix-82, 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)) )).
% 12.21/12.44 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_Ocom__size(__eqx_0) = c_Com_Ocom_Ocom__size(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-86, 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)) )).
% 12.21/12.44 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-88, 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)) )).
% 12.21/12.44 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-90, 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)) )).
% 12.21/12.44 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-93, 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)) )).
% 12.21/12.44 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-97, 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)) )).
% 12.21/12.44 cnf(matrix-98, 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)) )).
% 12.21/12.44 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-100, 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)) )).
% 12.21/12.44 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-102, 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)) )).
% 12.21/12.44 cnf(matrix-103, 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)) )).
% 12.21/12.44 cnf(matrix-104, 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)) )).
% 12.21/12.44 cnf(matrix-105, 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)) )).
% 12.21/12.44 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-109, 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)) )).
% 12.21/12.44 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OCond(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OCond(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OLocal(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OLocal(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-116, 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)) )).
% 12.21/12.44 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-119, 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)) )).
% 12.21/12.44 cnf(matrix-120, 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)) )).
% 12.21/12.44 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-123, 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)) )).
% 12.21/12.44 cnf(matrix-124, 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)) )).
% 12.21/12.44 cnf(matrix-125, 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)) )).
% 12.21/12.44 cnf(matrix-126, 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)) )).
% 12.21/12.44 cnf(matrix-127, 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)) )).
% 12.21/12.44 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-129, 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)) )).
% 12.21/12.44 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-131, 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)) )).
% 12.21/12.44 cnf(matrix-132, 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)) )).
% 12.21/12.44 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-135, 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)) )).
% 12.21/12.44 cnf(matrix-136, 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)) )).
% 12.21/12.44 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-138, 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)) )).
% 12.21/12.44 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-140, 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)) )).
% 12.21/12.44 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-143, 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)) )).
% 12.21/12.44 cnf(matrix-144, 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)) )).
% 12.21/12.44 cnf(matrix-145, 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)) )).
% 12.21/12.44 cnf(matrix-146, 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)) )).
% 12.21/12.44 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-148, 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)) )).
% 12.21/12.44 cnf(matrix-149, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-150, 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)) )).
% 12.21/12.44 cnf(matrix-151, 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)) )).
% 12.21/12.44 cnf(matrix-152, 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)) )).
% 12.21/12.44 cnf(matrix-153, 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)) )).
% 12.21/12.44 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-155, 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)) )).
% 12.21/12.44 cnf(matrix-156, 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)) )).
% 12.21/12.44 cnf(matrix-157, 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)) )).
% 12.21/12.44 cnf(matrix-158, 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)) )).
% 12.21/12.44 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-160, 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)) )).
% 12.21/12.44 cnf(matrix-161, 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)) )).
% 12.21/12.44 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-167, 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)) )).
% 12.21/12.44 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-170, 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)) )).
% 12.21/12.44 cnf(matrix-171, 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)) )).
% 12.21/12.44 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-174, 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)) )).
% 12.21/12.44 cnf(matrix-175, 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)) )).
% 12.21/12.44 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-177, 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)) )).
% 12.21/12.44 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 12.21/12.44 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)) )).
% 12.21/12.44 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)) )).
% 12.21/12.44 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Hoare__Mirabelle_Opeek__and(__eqx_0, __eqx_1, __eqx_2) = c_Hoare__Mirabelle_Opeek__and(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 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)) )).
% 12.21/12.44 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)) )).
% 12.21/12.44 cnf(matrix-185, 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)) )).
% 12.21/12.44 cnf(matrix-186, 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)) )).
% 12.21/12.44 cnf(matrix-187, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-188, 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)) )).
% 12.21/12.44 cnf(matrix-189, 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)) )).
% 12.21/12.44 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-195, 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)) )).
% 12.21/12.44 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-198, 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)) )).
% 12.21/12.44 cnf(matrix-199, 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)) )).
% 12.21/12.44 cnf(matrix-200, 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)) )).
% 12.21/12.44 cnf(matrix-201, 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)) )).
% 12.21/12.44 cnf(matrix-202, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-203, 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)) )).
% 12.21/12.44 cnf(matrix-204, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-205, 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)) )).
% 12.21/12.44 cnf(matrix-206, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-207, 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)) )).
% 12.21/12.44 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-209, 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)) )).
% 12.21/12.44 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-211, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-212, 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)) )).
% 12.21/12.44 cnf(matrix-213, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-215, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-216, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-218, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-219, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-221, 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)) )).
% 12.21/12.44 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-224, 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)) )).
% 12.21/12.44 cnf(matrix-225, 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)) )).
% 12.21/12.44 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-228, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-229, 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)) )).
% 12.21/12.44 cnf(matrix-230, 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)) )).
% 12.21/12.44 cnf(matrix-231, 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)) )).
% 12.21/12.44 cnf(matrix-232, 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)) )).
% 12.21/12.44 cnf(matrix-233, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-234, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-235, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-236, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-237, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-239, 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)) )).
% 12.21/12.44 cnf(matrix-240, 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)) )).
% 12.21/12.44 cnf(matrix-241, 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)) )).
% 12.21/12.44 cnf(matrix-242, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-243, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-244, 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)) )).
% 12.21/12.44 cnf(matrix-245, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-247, 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)) )).
% 12.21/12.44 cnf(matrix-248, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsp(__eqx_0, __eqx_1) = c_List_Olistsp(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-249, 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)) )).
% 12.21/12.44 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Osublists(__eqx_0, __eqx_1) = c_Enum_Osublists(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-251, 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)) )).
% 12.21/12.44 cnf(matrix-252, 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)) )).
% 12.21/12.44 cnf(matrix-253, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_OremoveAll(__eqx_0, __eqx_1) = c_List_OremoveAll(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-256, 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)) )).
% 12.21/12.44 cnf(matrix-257, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-258, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-260, 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)) )).
% 12.21/12.44 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-263, 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)) )).
% 12.21/12.44 cnf(matrix-264, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-265, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-266, 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)) )).
% 12.21/12.44 cnf(matrix-267, 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)) )).
% 12.21/12.44 cnf(matrix-268, 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)) )).
% 12.21/12.44 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omeasures(__eqx_0, __eqx_1) = c_List_Omeasures(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-270, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__ex(__eqx_0) = c_Enum_Oenum__class_Oenum__ex(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-271, 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)) )).
% 12.21/12.44 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__all(__eqx_0) = c_Enum_Oenum__class_Oenum__all(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-273, 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)) )).
% 12.21/12.44 cnf(matrix-274, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-275, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-276, 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)) )).
% 12.21/12.44 cnf(matrix-277, 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)) )).
% 12.21/12.44 cnf(matrix-278, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-279, 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)) )).
% 12.21/12.44 cnf(matrix-280, 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)) )).
% 12.21/12.44 cnf(matrix-281, 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)) )).
% 12.21/12.44 cnf(matrix-282, 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)) )).
% 12.21/12.44 cnf(matrix-283, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-284, 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)) )).
% 12.21/12.44 cnf(matrix-285, 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)) )).
% 12.21/12.44 cnf(matrix-286, 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)) )).
% 12.21/12.44 cnf(matrix-287, 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)) )).
% 12.21/12.44 cnf(matrix-288, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-289, 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)) )).
% 12.21/12.44 cnf(matrix-290, 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)) )).
% 12.21/12.44 cnf(matrix-291, 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)) )).
% 12.21/12.44 cnf(matrix-292, 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)) )).
% 12.21/12.44 cnf(matrix-293, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-294, 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)) )).
% 12.21/12.44 cnf(matrix-295, 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)) )).
% 12.21/12.44 cnf(matrix-296, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Osingle(__eqx_0) = c_Lazy__Sequence_Osingle(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-297, 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)) )).
% 12.21/12.44 cnf(matrix-298, 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)) )).
% 12.21/12.44 cnf(matrix-299, 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)) )).
% 12.21/12.44 cnf(matrix-300, 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)) )).
% 12.21/12.44 cnf(matrix-301, 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)) )).
% 12.21/12.44 cnf(matrix-302, 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)) )).
% 12.21/12.44 cnf(matrix-303, 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)) )).
% 12.21/12.44 cnf(matrix-304, 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)) )).
% 12.21/12.44 cnf(matrix-305, 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)) )).
% 12.21/12.44 cnf(matrix-306, 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)) )).
% 12.21/12.44 cnf(matrix-307, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyield(__eqx_0) = c_Lazy__Sequence_Oyield(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-308, 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)) )).
% 12.21/12.44 cnf(matrix-309, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyieldn(__eqx_0) = c_Lazy__Sequence_Oyieldn(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-310, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omember(__eqx_0) = c_List_Omember(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-311, 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)) )).
% 12.21/12.44 cnf(matrix-312, 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)) )).
% 12.21/12.44 cnf(matrix-313, 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)) )).
% 12.21/12.44 cnf(matrix-314, 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)) )).
% 12.21/12.44 cnf(matrix-315, 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)) )).
% 12.21/12.44 cnf(matrix-316, 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)) )).
% 12.21/12.44 cnf(matrix-317, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqx_0) = c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-318, 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)) )).
% 12.21/12.44 cnf(matrix-319, 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)) )).
% 12.21/12.44 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-321, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-322, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-323, 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)) )).
% 12.21/12.44 cnf(matrix-324, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-325, 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)) )).
% 12.21/12.44 cnf(matrix-326, 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)) )).
% 12.21/12.44 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBex(__eqx_0) = c_Set_OBex(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-328, 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)) )).
% 12.21/12.44 cnf(matrix-329, 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)) )).
% 12.21/12.44 cnf(matrix-330, 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)) )).
% 12.21/12.44 cnf(matrix-331, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-332, 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)) )).
% 12.21/12.44 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quotient_ORespects(__eqx_0, __eqx_1) = c_Quotient_ORespects(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-334, 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)) )).
% 12.21/12.44 cnf(matrix-335, 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)) )).
% 12.21/12.44 cnf(matrix-336, 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)) )).
% 12.21/12.44 cnf(matrix-337, 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)) )).
% 12.21/12.44 cnf(matrix-338, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Odvd__class_Odvd(__eqx_0) = c_Rings_Odvd__class_Odvd(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-339, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-340, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-341, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-342, 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)) )).
% 12.21/12.44 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem5(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem5(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-344, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-345, 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) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-346, 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) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-349, 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) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-350, 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) | ( skolem12(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem12(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-351, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem13(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem13(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem14(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem14(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem15(__eqx_0, __eqx_1, __eqx_2) = skolem15(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem16(__eqx_0, __eqx_1, __eqx_2) = skolem16(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-355, 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)) )).
% 12.21/12.44 cnf(matrix-356, 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)) )).
% 12.21/12.44 cnf(matrix-357, 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)) )).
% 12.21/12.44 cnf(matrix-358, 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)) )).
% 12.21/12.44 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem21(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem21(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-360, 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)) )).
% 12.21/12.44 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem23(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem23(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-362, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem24(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem24(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-363, 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) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-364, 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) | ( skolem26(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem26(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem27(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem27(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem28(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem28(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-367, 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) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem30(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem30(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem31(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem31(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem32(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem32(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem33(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem33(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 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) | ( 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)) )).
% 12.21/12.44 cnf(matrix-373, 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) | ( skolem35(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem35(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem36(__eqx_0, __eqx_1, __eqx_2) = skolem36(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem37(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem37(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem38(__eqx_0, __eqx_1, __eqx_2) = skolem38(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-377, 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)) )).
% 12.21/12.44 cnf(matrix-378, 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)) )).
% 12.21/12.44 cnf(matrix-379, 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)) )).
% 12.21/12.44 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem42(__eqx_0, __eqx_1, __eqx_2) = skolem42(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem43(__eqx_0, __eqx_1, __eqx_2) = skolem43(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem44(__eqx_0, __eqx_1) = skolem44(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem45(__eqx_0, __eqx_1) = skolem45(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem46(__eqx_0, __eqx_1) = skolem46(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem47(__eqx_0, __eqx_1) = skolem47(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-386, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem48(__eqx_0, __eqx_1) = skolem48(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem49(__eqx_0, __eqx_1) = skolem49(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem50(__eqx_0, __eqx_1) = skolem50(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem51(__eqx_0, __eqx_1) = skolem51(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-390, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem52(__eqx_0, __eqx_1) = skolem52(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-391, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem53(__eqx_0, __eqx_1) = skolem53(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-392, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem54(__eqx_0, __eqx_1, __eqx_2) = skolem54(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-393, 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)) )).
% 12.21/12.44 cnf(matrix-394, 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)) )).
% 12.21/12.44 cnf(matrix-395, 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)) )).
% 12.21/12.44 cnf(matrix-396, 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)) )).
% 12.21/12.44 cnf(matrix-397, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem59(__eqx_0, __eqx_1, __eqx_2) = skolem59(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-398, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem60(__eqx_0, __eqx_1, __eqx_2) = skolem60(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem61(__eqx_0, __eqx_1, __eqx_2) = skolem61(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-400, 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)) )).
% 12.21/12.44 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem63(__eqx_0, __eqx_1, __eqx_2) = skolem63(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-402, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem64(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem64(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-403, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem65(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem65(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-404, 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)) )).
% 12.21/12.44 cnf(matrix-405, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem67(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem67(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-406, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem68(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem68(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-407, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem69(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem69(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-408, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem70(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem70(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-409, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem71(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem71(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem72(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem72(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-411, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem73(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem73(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-412, 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)) )).
% 12.21/12.44 cnf(matrix-413, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem75(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem75(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-414, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem76(__eqx_0, __eqx_1) = skolem76(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-415, plain, ( ( __eqx_0 != __eqy_0) | ( skolem77(__eqx_0) = skolem77(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-416, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem78(__eqx_0, __eqx_1) = skolem78(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-417, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem79(__eqx_0, __eqx_1, __eqx_2) = skolem79(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( skolem80(__eqx_0) = skolem80(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-419, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem81(__eqx_0, __eqx_1) = skolem81(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-420, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem82(__eqx_0, __eqx_1) = skolem82(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-421, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem83(__eqx_0, __eqx_1) = skolem83(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-422, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem84(__eqx_0, __eqx_1, __eqx_2) = skolem84(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem85(__eqx_0, __eqx_1, __eqx_2) = skolem85(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem86(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem86(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-425, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem87(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem87(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-426, 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)) )).
% 12.21/12.44 cnf(matrix-427, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem89(__eqx_0, __eqx_1, __eqx_2) = skolem89(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-428, 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)) )).
% 12.21/12.44 cnf(matrix-429, 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)) )).
% 12.21/12.44 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem92(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem92(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem93(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem93(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-432, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem94(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem94(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-433, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem95(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem95(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-434, 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) | ( skolem96(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem96(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem97(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem97(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem98(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem98(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem99(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem99(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-438, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem100(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem100(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-439, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem101(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem101(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-440, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem102(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem102(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem103(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem103(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem104(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem104(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-443, 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)) )).
% 12.21/12.44 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem106(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem106(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem107(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem107(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem108(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem108(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem109(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem109(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-448, 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)) )).
% 12.21/12.44 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem111(__eqx_0, __eqx_1, __eqx_2) = skolem111(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem112(__eqx_0, __eqx_1) = skolem112(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem113(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem113(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem114(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem114(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem115(__eqx_0, __eqx_1) = skolem115(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem116(__eqx_0, __eqx_1) = skolem116(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-455, 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)) )).
% 12.21/12.44 cnf(matrix-456, 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)) )).
% 12.21/12.44 cnf(matrix-457, 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) | ( skolem119(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem119(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem120(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem120(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem121(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem121(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( skolem122(__eqx_0) = skolem122(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem123(__eqx_0, __eqx_1) = skolem123(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem124(__eqx_0, __eqx_1, __eqx_2) = skolem124(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem125(__eqx_0, __eqx_1, __eqx_2) = skolem125(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem126(__eqx_0, __eqx_1, __eqx_2) = skolem126(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-465, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem127(__eqx_0, __eqx_1, __eqx_2) = skolem127(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem128(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem128(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-467, 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)) )).
% 12.21/12.44 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem130(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem130(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem131(__eqx_0, __eqx_1, __eqx_2) = skolem131(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-470, 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)) )).
% 12.21/12.44 cnf(matrix-471, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem133(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem133(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-472, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem134(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem134(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-473, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem135(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem135(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-474, 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)) )).
% 12.21/12.44 cnf(matrix-475, 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)) )).
% 12.21/12.44 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem138(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem138(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem139(__eqx_0, __eqx_1) = skolem139(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem140(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem140(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem141(__eqx_0, __eqx_1) = skolem141(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( skolem142(__eqx_0) = skolem142(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( skolem143(__eqx_0) = skolem143(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-482, plain, ( ( __eqx_0 != __eqy_0) | ( skolem144(__eqx_0) = skolem144(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-483, plain, ( ( __eqx_0 != __eqy_0) | ( skolem145(__eqx_0) = skolem145(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-484, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem146(__eqx_0, __eqx_1) = skolem146(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem147(__eqx_0, __eqx_1) = skolem147(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem148(__eqx_0, __eqx_1) = skolem148(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-487, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem149(__eqx_0, __eqx_1) = skolem149(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem150(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem150(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem151(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem151(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-490, 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)) )).
% 12.21/12.44 cnf(matrix-491, 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) | ( skolem153(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem153(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-492, 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)) )).
% 12.21/12.44 cnf(matrix-493, 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)) )).
% 12.21/12.44 cnf(matrix-494, 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)) )).
% 12.21/12.44 cnf(matrix-495, 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)) )).
% 12.21/12.44 cnf(matrix-496, 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)) )).
% 12.21/12.44 cnf(matrix-497, 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)) )).
% 12.21/12.44 cnf(matrix-498, 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)) )).
% 12.21/12.44 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem161(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem161(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( skolem162(__eqx_0) = skolem162(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( skolem163(__eqx_0) = skolem163(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( skolem164(__eqx_0) = skolem164(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-503, plain, ( ( __eqx_0 != __eqy_0) | ( skolem165(__eqx_0) = skolem165(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-504, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem166(__eqx_0, __eqx_1) = skolem166(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-505, plain, ( ( __eqx_0 != __eqy_0) | ( skolem167(__eqx_0) = skolem167(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem168(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem168(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-507, 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) | ( skolem169(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem169(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-508, 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)) )).
% 12.21/12.44 cnf(matrix-509, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem171(__eqx_0, __eqx_1, __eqx_2) = skolem171(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem172(__eqx_0, __eqx_1, __eqx_2) = skolem172(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem173(__eqx_0, __eqx_1) = skolem173(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem174(__eqx_0, __eqx_1) = skolem174(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem175(__eqx_0, __eqx_1) = skolem175(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem176(__eqx_0, __eqx_1) = skolem176(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem177(__eqx_0, __eqx_1, __eqx_2) = skolem177(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( skolem178(__eqx_0) = skolem178(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem179(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem179(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-518, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem180(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem180(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-519, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem181(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem181(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem182(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem182(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem183(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem183(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem184(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem184(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem185(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem185(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem186(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem186(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-525, 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)) )).
% 12.21/12.44 cnf(matrix-526, 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)) )).
% 12.21/12.44 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem189(__eqx_0, __eqx_1, __eqx_2) = skolem189(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem190(__eqx_0, __eqx_1, __eqx_2) = skolem190(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem191(__eqx_0, __eqx_1, __eqx_2) = skolem191(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem192(__eqx_0, __eqx_1, __eqx_2) = skolem192(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-531, 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)) )).
% 12.21/12.44 cnf(matrix-532, 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)) )).
% 12.21/12.44 cnf(matrix-533, 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)) )).
% 12.21/12.44 cnf(matrix-534, 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)) )).
% 12.21/12.44 cnf(matrix-535, 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)) )).
% 12.21/12.44 cnf(matrix-536, 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)) )).
% 12.21/12.44 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem199(__eqx_0, __eqx_1) = skolem199(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem200(__eqx_0, __eqx_1) = skolem200(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem201(__eqx_0, __eqx_1) = skolem201(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem202(__eqx_0, __eqx_1) = skolem202(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-541, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem203(__eqx_0, __eqx_1) = skolem203(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem204(__eqx_0, __eqx_1) = skolem204(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-543, 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)) )).
% 12.21/12.44 cnf(matrix-544, 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)) )).
% 12.21/12.44 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem207(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem207(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem208(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem208(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem209(__eqx_0, __eqx_1, __eqx_2) = skolem209(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem210(__eqx_0, __eqx_1) = skolem210(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( skolem211(__eqx_0) = skolem211(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem212(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem212(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem213(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem213(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-552, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem214(__eqx_0, __eqx_1, __eqx_2) = skolem214(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem215(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem215(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem216(__eqx_0, __eqx_1, __eqx_2) = skolem216(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-555, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem217(__eqx_0, __eqx_1, __eqx_2) = skolem217(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-556, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem218(__eqx_0, __eqx_1, __eqx_2) = skolem218(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem219(__eqx_0, __eqx_1, __eqx_2) = skolem219(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem220(__eqx_0, __eqx_1) = skolem220(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem221(__eqx_0, __eqx_1, __eqx_2) = skolem221(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem222(__eqx_0, __eqx_1, __eqx_2) = skolem222(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem223(__eqx_0, __eqx_1, __eqx_2) = skolem223(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem224(__eqx_0, __eqx_1, __eqx_2) = skolem224(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem225(__eqx_0, __eqx_1) = skolem225(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-564, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem226(__eqx_0, __eqx_1, __eqx_2) = skolem226(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-565, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem227(__eqx_0, __eqx_1, __eqx_2) = skolem227(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem228(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem228(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem229(__eqx_0, __eqx_1, __eqx_2) = skolem229(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-568, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem230(__eqx_0, __eqx_1, __eqx_2) = skolem230(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem231(__eqx_0, __eqx_1, __eqx_2) = skolem231(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem232(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem232(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem233(__eqx_0, __eqx_1, __eqx_2) = skolem233(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem234(__eqx_0, __eqx_1, __eqx_2) = skolem234(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem235(__eqx_0, __eqx_1, __eqx_2) = skolem235(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-574, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem236(__eqx_0, __eqx_1) = skolem236(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem237(__eqx_0, __eqx_1, __eqx_2) = skolem237(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem238(__eqx_0, __eqx_1, __eqx_2) = skolem238(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-577, 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)) )).
% 12.21/12.44 cnf(matrix-578, 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)) )).
% 12.21/12.44 cnf(matrix-579, 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)) )).
% 12.21/12.44 cnf(matrix-580, 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)) )).
% 12.21/12.44 cnf(matrix-581, 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)) )).
% 12.21/12.44 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem244(__eqx_0, __eqx_1, __eqx_2) = skolem244(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-583, 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) | ( skolem245(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem245(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-584, 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) | ( skolem246(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem246(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-585, plain, ( ( __eqx_0 != __eqy_0) | ( skolem247(__eqx_0) = skolem247(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-586, plain, ( ( __eqx_0 != __eqy_0) | ( skolem248(__eqx_0) = skolem248(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-587, 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) | ( skolem249(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem249(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem250(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem250(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-589, 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) | ( skolem251(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem251(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-590, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem252(__eqx_0, __eqx_1) = skolem252(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem253(__eqx_0, __eqx_1) = skolem253(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem254(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem254(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem255(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem255(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-594, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem256(__eqx_0, __eqx_1) = skolem256(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-595, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem257(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem257(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-596, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem258(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem258(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-597, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem259(__eqx_0, __eqx_1, __eqx_2) = skolem259(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem260(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem260(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem261(__eqx_0, __eqx_1) = skolem261(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem262(__eqx_0, __eqx_1, __eqx_2) = skolem262(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem263(__eqx_0, __eqx_1, __eqx_2) = skolem263(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-602, 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) | ( skolem264(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem264(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem265(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem265(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-604, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem266(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem266(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-605, 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) | ( skolem267(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem267(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 12.21/12.44 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) | ( __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)) )).
% 12.21/12.44 cnf(matrix-607, 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) | ( skolem269(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem269(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem270(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem270(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem271(__eqx_0, __eqx_1, __eqx_2) = skolem271(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem272(__eqx_0, __eqx_1, __eqx_2) = skolem272(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-611, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem273(__eqx_0, __eqx_1, __eqx_2) = skolem273(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-612, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem274(__eqx_0, __eqx_1) = skolem274(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-613, 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) | ( skolem275(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem275(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-614, 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) | ( skolem276(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem276(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-615, 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)) )).
% 12.21/12.44 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem278(__eqx_0, __eqx_1, __eqx_2) = skolem278(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem279(__eqx_0, __eqx_1, __eqx_2) = skolem279(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem280(__eqx_0, __eqx_1, __eqx_2) = skolem280(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-619, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem281(__eqx_0, __eqx_1) = skolem281(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-620, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem282(__eqx_0, __eqx_1, __eqx_2) = skolem282(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-621, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem283(__eqx_0, __eqx_1, __eqx_2) = skolem283(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem284(__eqx_0, __eqx_1, __eqx_2) = skolem284(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-623, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem285(__eqx_0, __eqx_1, __eqx_2) = skolem285(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem286(__eqx_0, __eqx_1, __eqx_2) = skolem286(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem287(__eqx_0, __eqx_1, __eqx_2) = skolem287(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( skolem288(__eqx_0) = skolem288(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-627, plain, ( ( __eqx_0 != __eqy_0) | ( skolem289(__eqx_0) = skolem289(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( skolem290(__eqx_0) = skolem290(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( skolem291(__eqx_0) = skolem291(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem292(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem292(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem293(__eqx_0, __eqx_1, __eqx_2) = skolem293(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-632, plain, ( ( __eqx_0 != __eqy_0) | ( skolem294(__eqx_0) = skolem294(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( skolem295(__eqx_0) = skolem295(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem296(__eqx_0, __eqx_1, __eqx_2) = skolem296(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem297(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem297(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem298(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem298(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem299(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem299(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem300(__eqx_0, __eqx_1) = skolem300(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem301(__eqx_0, __eqx_1, __eqx_2) = skolem301(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-640, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem302(__eqx_0, __eqx_1) = skolem302(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem303(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem303(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-642, 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)) )).
% 12.21/12.44 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem305(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem305(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-644, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem306(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem306(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-645, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem307(__eqx_0, __eqx_1) = skolem307(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-646, 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)) )).
% 12.21/12.44 cnf(matrix-647, 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)) )).
% 12.21/12.44 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem310(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem310(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem311(__eqx_0, __eqx_1) = skolem311(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem312(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem312(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-651, 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) | ( skolem313(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem313(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-652, 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) | ( skolem314(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem314(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-653, 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) | ( skolem315(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem315(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-654, 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)) )).
% 12.21/12.44 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem317(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem317(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem318(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem318(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem319(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem319(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-658, 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) | ( skolem320(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem320(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-659, 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) | ( skolem321(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem321(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-660, 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)) )).
% 12.21/12.44 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem323(__eqx_0, __eqx_1) = skolem323(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-662, 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)) )).
% 12.21/12.44 cnf(matrix-663, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem325(__eqx_0, __eqx_1) = skolem325(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( skolem326(__eqx_0) = skolem326(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem327(__eqx_0, __eqx_1, __eqx_2) = skolem327(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem328(__eqx_0, __eqx_1, __eqx_2) = skolem328(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem329(__eqx_0, __eqx_1) = skolem329(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( skolem330(__eqx_0) = skolem330(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-669, 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)) )).
% 12.21/12.44 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem332(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem332(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-671, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem333(__eqx_0, __eqx_1, __eqx_2) = skolem333(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-672, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem334(__eqx_0, __eqx_1, __eqx_2) = skolem334(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem335(__eqx_0, __eqx_1, __eqx_2) = skolem335(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-674, 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)) )).
% 12.21/12.44 cnf(matrix-675, 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)) )).
% 12.21/12.44 cnf(matrix-676, 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)) )).
% 12.21/12.44 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) | ( skolem339(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem339(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem340(__eqx_0, __eqx_1) = skolem340(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-679, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem341(__eqx_0, __eqx_1) = skolem341(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-680, 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)) )).
% 12.21/12.44 cnf(matrix-681, 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) | ( skolem343(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem343(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-682, 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) | ( skolem344(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem344(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-683, 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) | ( skolem345(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem345(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem346(__eqx_0, __eqx_1, __eqx_2) = skolem346(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem347(__eqx_0, __eqx_1, __eqx_2) = skolem347(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem348(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem348(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem349(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem349(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem350(__eqx_0, __eqx_1, __eqx_2) = skolem350(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-689, 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)) )).
% 12.21/12.44 cnf(matrix-690, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem352(__eqx_0, __eqx_1) = skolem352(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-691, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem353(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem353(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-692, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem354(__eqx_0, __eqx_1, __eqx_2) = skolem354(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-693, 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)) )).
% 12.21/12.44 cnf(matrix-694, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem356(__eqx_0, __eqx_1, __eqx_2) = skolem356(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-695, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem357(__eqx_0, __eqx_1, __eqx_2) = skolem357(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-696, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem358(__eqx_0, __eqx_1, __eqx_2) = skolem358(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-697, 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)) )).
% 12.21/12.44 cnf(matrix-698, 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)) )).
% 12.21/12.44 cnf(matrix-699, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem361(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem361(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-700, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem362(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem362(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem363(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem363(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem364(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem364(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem365(__eqx_0, __eqx_1) = skolem365(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-704, 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)) )).
% 12.21/12.44 cnf(matrix-705, 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)) )).
% 12.21/12.44 cnf(matrix-706, 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)) )).
% 12.21/12.44 cnf(matrix-707, 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)) )).
% 12.21/12.44 cnf(matrix-708, 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)) )).
% 12.21/12.44 cnf(matrix-709, 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)) )).
% 12.21/12.44 cnf(matrix-710, 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)) )).
% 12.21/12.44 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem373(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem373(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem374(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem374(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem375(__eqx_0, __eqx_1) = skolem375(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-714, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem376(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem376(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-715, 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)) )).
% 12.21/12.44 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem378(__eqx_0, __eqx_1, __eqx_2) = skolem378(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem379(__eqx_0, __eqx_1) = skolem379(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem380(__eqx_0, __eqx_1) = skolem380(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-719, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem381(__eqx_0, __eqx_1, __eqx_2) = skolem381(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-720, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem382(__eqx_0, __eqx_1) = skolem382(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-721, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem383(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem383(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem384(__eqx_0, __eqx_1, __eqx_2) = skolem384(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-723, 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) | ( skolem385(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem385(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-724, 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) | ( skolem386(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem386(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-725, 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) | ( skolem387(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem387(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-726, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem388(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem388(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem389(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem389(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem390(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem390(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem391(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem391(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem392(__eqx_0, __eqx_1) = skolem392(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-731, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem393(__eqx_0, __eqx_1, __eqx_2) = skolem393(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem394(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem394(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem395(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem395(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem396(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem396(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-735, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem397(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem397(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-736, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem398(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem398(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem399(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem399(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem400(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem400(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-739, 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)) )).
% 12.21/12.44 cnf(matrix-740, 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)) )).
% 12.21/12.44 cnf(matrix-741, 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)) )).
% 12.21/12.44 cnf(matrix-742, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem404(__eqx_0, __eqx_1, __eqx_2) = skolem404(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem405(__eqx_0, __eqx_1, __eqx_2) = skolem405(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem406(__eqx_0, __eqx_1, __eqx_2) = skolem406(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-745, 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)) )).
% 12.21/12.44 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem408(__eqx_0, __eqx_1, __eqx_2) = skolem408(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-747, plain, ( ( __eqx_0 != __eqy_0) | ( skolem409(__eqx_0) = skolem409(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-748, 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)) )).
% 12.21/12.44 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem411(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem411(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-750, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem412(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem412(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-751, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem413(__eqx_0, __eqx_1) = skolem413(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-752, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem414(__eqx_0, __eqx_1) = skolem414(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem415(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem415(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem416(__eqx_0, __eqx_1, __eqx_2) = skolem416(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem417(__eqx_0, __eqx_1, __eqx_2) = skolem417(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem418(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem418(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem419(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem419(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem420(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem420(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-759, 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)) )).
% 12.21/12.44 cnf(matrix-760, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem422(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem422(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-761, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem423(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem423(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem424(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem424(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem425(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem425(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-764, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem426(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem426(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem427(__eqx_0, __eqx_1) = skolem427(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem428(__eqx_0, __eqx_1, __eqx_2) = skolem428(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-767, 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)) )).
% 12.21/12.44 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem430(__eqx_0, __eqx_1, __eqx_2) = skolem430(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem431(__eqx_0, __eqx_1, __eqx_2) = skolem431(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-770, 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)) )).
% 12.21/12.44 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem433(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem433(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-772, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem434(__eqx_0, __eqx_1, __eqx_2) = skolem434(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-773, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem435(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem435(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem436(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem436(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem437(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem437(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-776, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem438(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem438(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem439(__eqx_0, __eqx_1) = skolem439(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-778, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem440(__eqx_0, __eqx_1) = skolem440(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-779, 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)) )).
% 12.21/12.44 cnf(matrix-780, 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)) )).
% 12.21/12.44 cnf(matrix-781, 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)) )).
% 12.21/12.44 cnf(matrix-782, 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)) )).
% 12.21/12.44 cnf(matrix-783, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem445(__eqx_0, __eqx_1) = skolem445(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem446(__eqx_0, __eqx_1, __eqx_2) = skolem446(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-785, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem447(__eqx_0, __eqx_1, __eqx_2) = skolem447(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-786, 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)) )).
% 12.21/12.44 cnf(matrix-787, 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)) )).
% 12.21/12.44 cnf(matrix-788, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem450(__eqx_0, __eqx_1, __eqx_2) = skolem450(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-789, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem451(__eqx_0, __eqx_1) = skolem451(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem452(__eqx_0, __eqx_1) = skolem452(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-791, 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)) )).
% 12.21/12.44 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem454(__eqx_0, __eqx_1, __eqx_2) = skolem454(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem455(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem455(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-794, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem456(__eqx_0, __eqx_1) = skolem456(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-795, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem457(__eqx_0, __eqx_1) = skolem457(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem458(__eqx_0, __eqx_1, __eqx_2) = skolem458(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem459(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem459(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem460(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem460(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem461(__eqx_0, __eqx_1) = skolem461(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem462(__eqx_0, __eqx_1) = skolem462(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem463(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem463(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem464(__eqx_0, __eqx_1) = skolem464(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-803, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem465(__eqx_0, __eqx_1) = skolem465(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem466(__eqx_0, __eqx_1) = skolem466(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-805, 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) | ( skolem467(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem467(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-806, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem468(__eqx_0, __eqx_1) = skolem468(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-807, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem469(__eqx_0, __eqx_1) = skolem469(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem470(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem470(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-809, 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)) )).
% 12.21/12.44 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem472(__eqx_0, __eqx_1) = skolem472(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem473(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem473(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-812, 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)) )).
% 12.21/12.44 cnf(matrix-813, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem475(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem475(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-814, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem476(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem476(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-815, 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) | ( skolem477(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem477(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-816, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem478(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem478(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-817, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem479(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem479(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-818, 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) | ( skolem480(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem480(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem481(__eqx_0, __eqx_1) = skolem481(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-820, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem482(__eqx_0, __eqx_1) = skolem482(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem483(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem483(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-822, 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)) )).
% 12.21/12.44 cnf(matrix-823, 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)) )).
% 12.21/12.44 cnf(matrix-824, 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)) )).
% 12.21/12.44 cnf(matrix-825, 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)) )).
% 12.21/12.44 cnf(matrix-826, 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)) )).
% 12.21/12.44 cnf(matrix-827, 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)) )).
% 12.21/12.44 cnf(matrix-828, 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)) )).
% 12.21/12.44 cnf(matrix-829, 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)) )).
% 12.21/12.44 cnf(matrix-830, 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)) )).
% 12.21/12.44 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem493(__eqx_0, __eqx_1, __eqx_2) = skolem493(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem494(__eqx_0, __eqx_1, __eqx_2) = skolem494(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-833, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem495(__eqx_0, __eqx_1, __eqx_2) = skolem495(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-834, 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)) )).
% 12.21/12.44 cnf(matrix-835, 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)) )).
% 12.21/12.44 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem498(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem498(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem499(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem499(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-838, 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)) )).
% 12.21/12.44 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem501(__eqx_0, __eqx_1, __eqx_2) = skolem501(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem502(__eqx_0, __eqx_1, __eqx_2) = skolem502(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-841, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem503(__eqx_0, __eqx_1, __eqx_2) = skolem503(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem504(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem504(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem505(__eqx_0, __eqx_1, __eqx_2) = skolem505(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-844, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem506(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem506(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-845, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem507(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem507(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem508(__eqx_0, __eqx_1, __eqx_2) = skolem508(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem509(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem509(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem510(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem510(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem511(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem511(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-850, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem512(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem512(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-851, 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) | ( skolem513(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem513(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-852, 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) | ( skolem514(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem514(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem515(__eqx_0, __eqx_1) = skolem515(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem516(__eqx_0, __eqx_1, __eqx_2) = skolem516(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-855, 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) | ( skolem517(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem517(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-856, 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) | ( skolem518(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem518(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem519(__eqx_0, __eqx_1) = skolem519(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-858, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem520(__eqx_0, __eqx_1) = skolem520(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem521(__eqx_0, __eqx_1) = skolem521(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem522(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem522(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ( skolem523(__eqx_0) = skolem523(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-862, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem524(__eqx_0, __eqx_1) = skolem524(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem525(__eqx_0, __eqx_1, __eqx_2) = skolem525(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem526(__eqx_0, __eqx_1, __eqx_2) = skolem526(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-865, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem527(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem527(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem528(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem528(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem529(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem529(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-868, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem530(__eqx_0, __eqx_1) = skolem530(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem531(__eqx_0, __eqx_1) = skolem531(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem532(__eqx_0, __eqx_1) = skolem532(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem533(__eqx_0, __eqx_1) = skolem533(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem534(__eqx_0, __eqx_1) = skolem534(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ( skolem535(__eqx_0) = skolem535(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ( skolem536(__eqx_0) = skolem536(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ( skolem537(__eqx_0) = skolem537(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ( skolem538(__eqx_0) = skolem538(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ( skolem539(__eqx_0) = skolem539(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem540(__eqx_0, __eqx_1) = skolem540(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem541(__eqx_0, __eqx_1) = skolem541(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem542(__eqx_0, __eqx_1, __eqx_2) = skolem542(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem543(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem543(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-882, 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) | ( skolem544(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem544(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-883, 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) | ( skolem545(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem545(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-884, 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) | ( skolem546(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem546(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ( skolem547(__eqx_0) = skolem547(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem548(__eqx_0, __eqx_1) = skolem548(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ( skolem549(__eqx_0) = skolem549(__eqy_0)) )).
% 12.21/12.44 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem550(__eqx_0, __eqx_1) = skolem550(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem551(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem551(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem552(__eqx_0, __eqx_1) = skolem552(__eqy_0, __eqy_1)) )).
% 12.21/12.44 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) | ( skolem553(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem553(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem554(__eqx_0, __eqx_1) = skolem554(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem555(__eqx_0, __eqx_1) = skolem555(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem556(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem556(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem557(__eqx_0, __eqx_1, __eqx_2) = skolem557(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem558(__eqx_0, __eqx_1, __eqx_2) = skolem558(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem559(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem559(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem560(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem560(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem561(__eqx_0, __eqx_1, __eqx_2) = skolem561(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem562(__eqx_0, __eqx_1, __eqx_2) = skolem562(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem563(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem563(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-902, 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) | ( skolem564(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem564(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 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) | ( __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)) )).
% 12.21/12.44 cnf(matrix-904, 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)) )).
% 12.21/12.44 cnf(matrix-905, 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)) )).
% 12.21/12.44 cnf(matrix-906, 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)) )).
% 12.21/12.44 cnf(matrix-907, 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) | ( skolem569(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem569(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-908, 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) | ( skolem570(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem570(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-909, 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) | ( skolem571(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem571(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-910, 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) | ( skolem572(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem572(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 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) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem573(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem573(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-912, 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) | ( skolem574(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem574(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-913, 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) | ( skolem575(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem575(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-914, 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) | ( skolem576(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem576(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-915, 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) | ( skolem577(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem577(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-916, 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) | ( skolem578(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem578(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-917, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem579(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem579(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem580(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem580(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem581(__eqx_0, __eqx_1, __eqx_2) = skolem581(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-920, 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) | ( skolem582(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem582(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem583(__eqx_0, __eqx_1, __eqx_2) = skolem583(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-922, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem584(__eqx_0, __eqx_1, __eqx_2) = skolem584(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-923, 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) )).
% 12.21/12.44 cnf(matrix-924, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.21/12.44 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 12.21/12.44 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 12.21/12.44 cnf(matrix-927, 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) )).
% 12.21/12.44 cnf(matrix-928, 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) )).
% 12.21/12.44 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(__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) )).
% 12.21/12.44 cnf(matrix-930, 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) )).
% 12.21/12.44 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 12.21/12.44 cnf(matrix-932, 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) )).
% 12.21/12.44 cnf(matrix-933, 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) )).
% 12.21/12.44 cnf(matrix-934, 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) )).
% 12.21/12.44 cnf(matrix-935, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 12.21/12.44 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.21/12.44 cnf(matrix-939, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 12.21/12.44 cnf(matrix-940, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 12.21/12.44 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-942, 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) )).
% 12.21/12.44 cnf(matrix-943, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-944, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-947, 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) )).
% 12.21/12.44 cnf(matrix-948, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 12.21/12.44 cnf(matrix-951, 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) )).
% 12.21/12.44 cnf(matrix-952, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 12.21/12.44 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 12.21/12.44 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-957, 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) )).
% 12.21/12.44 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 12.21/12.44 cnf(matrix-960, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 12.21/12.44 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 12.21/12.44 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 12.21/12.44 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 12.21/12.44 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-967, 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) )).
% 12.21/12.44 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 12.21/12.44 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 12.21/12.44 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 12.21/12.44 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 12.21/12.44 cnf(matrix-972, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 12.21/12.44 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 12.21/12.44 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 12.21/12.44 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 12.21/12.44 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 12.21/12.44 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 12.21/12.44 cnf(matrix-979, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 12.21/12.44 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 12.21/12.44 cnf(matrix-981, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 12.21/12.44 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 12.21/12.44 cnf(matrix-985, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 12.21/12.44 cnf(matrix-986, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-987, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 12.21/12.44 cnf(matrix-988, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 12.21/12.44 cnf(matrix-989, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-990, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-991, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-992, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-993, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-994, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 12.21/12.44 cnf(matrix-995, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 12.21/12.44 cnf(matrix-996, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-997, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-998, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 12.21/12.44 cnf(matrix-999, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1000, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1001, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1002, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1003, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1004, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1005, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1006, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1007, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1008, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1009, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1010, 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) )).
% 12.21/12.44 cnf(matrix-1011, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1012, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1013, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1014, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1015, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1016, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1017, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1018, 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) )).
% 12.21/12.44 cnf(matrix-1019, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1020, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1021, 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) )).
% 12.21/12.44 cnf(matrix-1022, 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) )).
% 12.21/12.44 cnf(matrix-1023, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1024, 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) )).
% 12.21/12.44 cnf(matrix-1025, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1026, 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) )).
% 12.21/12.44 cnf(matrix-1027, 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) )).
% 12.21/12.44 cnf(matrix-1028, 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) )).
% 12.21/12.44 cnf(matrix-1029, 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) )).
% 12.21/12.44 cnf(matrix-1030, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1031, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1032, 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) )).
% 12.21/12.44 cnf(matrix-1033, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1034, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1035, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1036, 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) )).
% 12.21/12.44 cnf(matrix-1037, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1038, 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) )).
% 12.21/12.44 cnf(matrix-1039, 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) )).
% 12.21/12.44 cnf(matrix-1040, 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) )).
% 12.21/12.44 cnf(matrix-1041, 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) )).
% 12.21/12.44 cnf(matrix-1042, 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) )).
% 12.21/12.44 cnf(matrix-1043, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1044, 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) )).
% 12.21/12.44 cnf(matrix-1045, 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) )).
% 12.21/12.44 cnf(matrix-1046, 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) )).
% 12.21/12.44 cnf(matrix-1047, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1048, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1049, 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) )).
% 12.21/12.44 cnf(matrix-1050, 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) )).
% 12.21/12.44 cnf(matrix-1051, plain, ( ( __eqx_0 != __eqy_0) | ~class_Enum_Oenum(__eqx_0) | class_Enum_Oenum(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1052, 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) )).
% 12.21/12.44 cnf(matrix-1053, 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) )).
% 12.21/12.44 cnf(matrix-1054, 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) )).
% 12.21/12.44 cnf(matrix-1055, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osize(__eqx_0) | class_Nat_Osize(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1056, 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) )).
% 12.21/12.44 cnf(matrix-1057, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lazy__Sequence_Osmall__lazy(__eqx_0) | class_Lazy__Sequence_Osmall__lazy(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1058, 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) )).
% 12.21/12.44 cnf(matrix-1059, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Otrans(__eqx_0, __eqx_1) | c_Relation_Otrans(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1060, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Otransp(__eqx_0, __eqx_1) | c_Predicate_Otransp(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1061, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Osymp(__eqx_0, __eqx_1) | c_Predicate_Osymp(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1062, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oantisym(__eqx_0, __eqx_1) | c_Relation_Oantisym(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1063, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Osym(__eqx_0, __eqx_1) | c_Relation_Osym(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1064, 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) )).
% 12.21/12.44 cnf(matrix-1065, 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) )).
% 12.21/12.44 cnf(matrix-1066, 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) )).
% 12.21/12.44 cnf(matrix-1067, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1068, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1069, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1070, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.21/12.44 cnf(matrix-1071, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u4, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1072, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5, _u6, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5), tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1073, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u16), _u18), _u20) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u22), _u24), _u26)) | ( _u16 = _u22) )).
% 12.21/12.44 cnf(matrix-1074, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u16), _u18), _u20) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u22), _u24), _u26)) | ( _u18 = _u24) )).
% 12.21/12.44 cnf(matrix-1075, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u16), _u18), _u20) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14), _u22), _u24), _u26)) | ( _u20 = _u26) )).
% 12.21/12.44 cnf(matrix-1076, plain, ( ( _u17 != _u23) | ( _u19 != _u25) | ( _u21 != _u27) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u17), _u19), _u21) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u15), _u23), _u25), _u27)) )).
% 12.21/12.44 cnf(matrix-1077, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u28, _u29, _u30) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u28, _u31, _u29) | c_Hoare__Mirabelle_Ohoare__derivs(_u28, _u31, _u30) )).
% 12.21/12.44 cnf(matrix-1078, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u32, _u33, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u32)), _u34), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u32), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u32, _u33, _u35) | c_Hoare__Mirabelle_Ohoare__derivs(_u32, _u33, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u32)), _u34), _u35)) )).
% 12.21/12.44 cnf(matrix-1079, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u36), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1080, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, _u39) )).
% 12.21/12.44 cnf(matrix-1081, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u40), _u41)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u42), hAPP(c_Set_Oimage(_u40, _u42, _u43), _u41))) )).
% 12.21/12.44 cnf(matrix-1082, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u44), _u45)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u44), hAPP(hAPP(c_Set_Oinsert(_u44), _u46), _u45))) )).
% 12.21/12.44 cnf(matrix-1083, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u47), c_Orderings_Obot__class_Obot(tc_fun(_u47, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1084, plain, ( ( _u48 != hAPP(_u49, _u50)) | ~hBOOL(hAPP(hAPP(c_member(_u51), _u50), _u52)) | hBOOL(hAPP(hAPP(c_member(_u53), _u48), hAPP(c_Set_Oimage(_u51, _u53, _u49), _u52))) )).
% 12.21/12.44 cnf(matrix-1085, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u54), _u55), hAPP(hAPP(c_Set_Oinsert(_u54), _u56), _u57))) | ( _u55 = _u56) | hBOOL(hAPP(hAPP(c_member(_u54), _u55), _u57)) )).
% 12.21/12.44 cnf(matrix-1086, plain, ( hBOOL(hAPP(hAPP(c_member(_u58), _u59), hAPP(hAPP(c_Set_Oinsert(_u58), _u61), _u60))) | ~hBOOL(hAPP(hAPP(c_member(_u58), _u59), _u60)) )).
% 12.21/12.44 cnf(matrix-1087, plain, ( hBOOL(hAPP(hAPP(c_member(_u58), _u59), hAPP(hAPP(c_Set_Oinsert(_u58), _u61), _u60))) | ( _u59 != _u61) )).
% 12.21/12.44 cnf(matrix-1088, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u62), _u63), c_Orderings_Obot__class_Obot(tc_fun(_u62, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1089, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u64), _u65), _u66)) | ( hAPP(c_Set_Oimage(_u64, _u67, hAPP(c_COMBK(_u67, _u64), _u68)), _u66) = hAPP(hAPP(c_Set_Oinsert(_u67), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u67, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1090, plain, ( ( _u73 != c_Orderings_Obot__class_Obot(tc_fun(_u75, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u75, _u77, hAPP(c_COMBK(_u77, _u75), _u79)), _u73) = c_Orderings_Obot__class_Obot(tc_fun(_u77, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1091, plain, ( ( _u74 = c_Orderings_Obot__class_Obot(tc_fun(_u76, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u76, _u78, hAPP(c_COMBK(_u78, _u76), _u80)), _u74) = hAPP(hAPP(c_Set_Oinsert(_u78), _u80), c_Orderings_Obot__class_Obot(tc_fun(_u78, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1092, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u81), _u82), _u83)) | ( hAPP(hAPP(c_Set_Oinsert(_u84), hAPP(_u85, _u82)), hAPP(c_Set_Oimage(_u81, _u84, _u85), _u83)) = hAPP(c_Set_Oimage(_u81, _u84, _u85), _u83)) )).
% 12.21/12.44 cnf(matrix-1093, plain, ( ( _u91 = _u93) | ~hBOOL(hAPP(hAPP(c_member(_u89), _u91), hAPP(hAPP(c_Set_Oinsert(_u89), _u93), c_Orderings_Obot__class_Obot(tc_fun(_u89, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1094, plain, ( ( _u92 != _u94) | hBOOL(hAPP(hAPP(c_member(_u90), _u92), hAPP(hAPP(c_Set_Oinsert(_u90), _u94), c_Orderings_Obot__class_Obot(tc_fun(_u90, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1095, plain, ( ( _u96 = _u97) | ~hBOOL(hAPP(hAPP(c_member(_u95), _u96), hAPP(hAPP(c_Set_Oinsert(_u95), _u97), c_Orderings_Obot__class_Obot(tc_fun(_u95, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1096, plain, ( ( _u98 != _u99) | hBOOL(hAPP(hAPP(c_member(_u100), _u101), _u98)) | ~hBOOL(hAPP(hAPP(c_member(_u100), _u101), _u99)) )).
% 12.21/12.44 cnf(matrix-1097, plain, ( ( _u98 != _u99) | hBOOL(hAPP(hAPP(c_member(_u100), _u101), _u99)) | ~hBOOL(hAPP(hAPP(c_member(_u100), _u101), _u98)) )).
% 12.21/12.44 cnf(matrix-1098, plain, ( ( _u102 != _u103) | ~hBOOL(hAPP(hAPP(c_member(_u104), _u103), _u105)) | hBOOL(hAPP(hAPP(c_member(_u104), _u102), _u105)) )).
% 12.21/12.44 cnf(matrix-1099, plain, ( ( _u106 != _u107) | ~hBOOL(hAPP(hAPP(c_member(_u108), _u106), _u109)) | hBOOL(hAPP(hAPP(c_member(_u108), _u107), _u109)) )).
% 12.21/12.44 cnf(matrix-1100, plain, ( ( _u106 != _u107) | ~hBOOL(hAPP(hAPP(c_member(_u108), _u107), _u109)) | hBOOL(hAPP(hAPP(c_member(_u108), _u106), _u109)) )).
% 12.21/12.44 cnf(matrix-1101, plain, ( ( _u110 != _u111) | ~hBOOL(hAPP(hAPP(c_member(_u112), _u113), _u110)) | hBOOL(hAPP(hAPP(c_member(_u112), _u113), _u111)) )).
% 12.21/12.44 cnf(matrix-1102, plain, ( ( _u110 != _u111) | ~hBOOL(hAPP(hAPP(c_member(_u112), _u113), _u111)) | hBOOL(hAPP(hAPP(c_member(_u112), _u113), _u110)) )).
% 12.21/12.44 cnf(matrix-1103, plain, ( hBOOL(hAPP(_u121, _u119)) | ~hBOOL(hAPP(hAPP(c_member(_u117), _u119), _u121)) )).
% 12.21/12.44 cnf(matrix-1104, plain, ( ~hBOOL(hAPP(_u122, _u120)) | hBOOL(hAPP(hAPP(c_member(_u118), _u120), _u122)) )).
% 12.21/12.44 cnf(matrix-1105, plain, ( ~class_Finite__Set_Ofinite(_u123) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u123), _u124)) )).
% 12.21/12.44 cnf(matrix-1106, plain, ( ~class_Finite__Set_Ofinite(_u125) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u125), _u126)) )).
% 12.21/12.44 cnf(matrix-1107, plain, ( ( _u133 = _u137) | hBOOL(hAPP(_u135, _u137)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u131), _u133), _u135), _u137)) )).
% 12.21/12.44 cnf(matrix-1108, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u132), _u134), _u136), _u138)) | ( _u134 != _u138) )).
% 12.21/12.44 cnf(matrix-1109, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u132), _u134), _u136), _u138)) | ~hBOOL(hAPP(_u136, _u138)) )).
% 12.21/12.44 cnf(matrix-1110, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u139), _u140), hAPP(hAPP(c_Set_Oinsert(_u139), _u141), _u142)) = hAPP(hAPP(c_Set_Oinsert(_u139), _u141), hAPP(hAPP(c_Set_Oinsert(_u139), _u140), _u142))) )).
% 12.21/12.44 cnf(matrix-1111, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u143), _u144), hAPP(hAPP(c_Set_Oinsert(_u143), _u144), _u145)) = hAPP(hAPP(c_Set_Oinsert(_u143), _u144), _u145)) )).
% 12.21/12.44 cnf(matrix-1112, plain, ( ( hAPP(c_Set_Oimage(_u146, _u147, _u148), hAPP(c_Set_Oimage(_u149, _u146, _u150), _u151)) = hAPP(c_Set_Oimage(_u149, _u147, hAPP(hAPP(c_COMBB(_u146, _u147, _u149), _u148), _u150)), _u151)) )).
% 12.21/12.44 cnf(matrix-1113, plain, ( ( _u152 != c_Orderings_Obot__class_Obot(tc_fun(_u153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u153), _u154), _u152)) )).
% 12.21/12.44 cnf(matrix-1114, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u155), _u156), c_Orderings_Obot__class_Obot(tc_fun(_u155, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1115, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u161), _u157), _u163)) | ( _u163 != c_Orderings_Obot__class_Obot(tc_fun(_u161, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1116, plain, ( ( _u164 = c_Orderings_Obot__class_Obot(tc_fun(_u162, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u162), skolem2(_u164, _u162)), _u164)) )).
% 12.21/12.44 cnf(matrix-1117, plain, ( hBOOL(hAPP(hAPP(c_member(_u169), skolem3(_u171, _u169)), _u171)) | ( _u171 = c_Orderings_Obot__class_Obot(tc_fun(_u169, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1118, plain, ( ( _u172 != c_Orderings_Obot__class_Obot(tc_fun(_u170, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u170), _u166), _u172)) )).
% 12.21/12.44 cnf(matrix-1119, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u173), _u174), _u175)) | ( hAPP(hAPP(c_Set_Oinsert(_u173), _u174), _u175) = _u175) )).
% 12.21/12.44 cnf(matrix-1120, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u176), _u177), _u178)) | hBOOL(hAPP(hAPP(c_member(_u176), _u177), hAPP(hAPP(c_Set_Oinsert(_u176), _u179), _u178))) )).
% 12.21/12.44 cnf(matrix-1121, plain, ( hBOOL(hAPP(hAPP(c_member(_u180), _u181), _u182)) | hBOOL(hAPP(hAPP(c_member(_u180), _u181), _u183)) | ( hAPP(hAPP(c_Set_Oinsert(_u180), _u181), _u182) != hAPP(hAPP(c_Set_Oinsert(_u180), _u181), _u183)) | ( _u182 = _u183) )).
% 12.21/12.44 cnf(matrix-1122, plain, ( hBOOL(hAPP(hAPP(c_member(_u180), _u181), _u182)) | hBOOL(hAPP(hAPP(c_member(_u180), _u181), _u183)) | ( _u182 != _u183) | ( hAPP(hAPP(c_Set_Oinsert(_u180), _u181), _u182) = hAPP(hAPP(c_Set_Oinsert(_u180), _u181), _u183)) )).
% 12.21/12.44 cnf(matrix-1123, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u188), _u190), hAPP(hAPP(c_Set_Oinsert(_u188), _u192), _u194))) | ( _u190 = _u192) | hBOOL(hAPP(hAPP(c_member(_u188), _u190), _u194)) )).
% 12.21/12.44 cnf(matrix-1124, plain, ( hBOOL(hAPP(hAPP(c_member(_u189), _u191), hAPP(hAPP(c_Set_Oinsert(_u189), _u193), _u195))) | ( _u191 != _u193) )).
% 12.21/12.44 cnf(matrix-1125, plain, ( hBOOL(hAPP(hAPP(c_member(_u189), _u191), hAPP(hAPP(c_Set_Oinsert(_u189), _u193), _u195))) | ~hBOOL(hAPP(hAPP(c_member(_u189), _u191), _u195)) )).
% 12.21/12.44 cnf(matrix-1126, plain, ( hBOOL(hAPP(hAPP(c_member(_u196), _u197), hAPP(hAPP(c_Set_Oinsert(_u196), _u197), _u198))) )).
% 12.21/12.44 cnf(matrix-1127, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u199), _u200), _u201)) | ( _u202 != hAPP(_u203, _u200)) | hBOOL(hAPP(hAPP(c_member(_u204), _u202), hAPP(c_Set_Oimage(_u199, _u204, _u203), _u201))) )).
% 12.21/12.44 cnf(matrix-1128, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u205), _u206), _u207)) | hBOOL(hAPP(hAPP(c_member(_u208), hAPP(_u209, _u206)), hAPP(c_Set_Oimage(_u205, _u208, _u209), _u207))) )).
% 12.21/12.44 cnf(matrix-1129, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u217), _u219), hAPP(c_Set_Oimage(_u221, _u217, _u223), _u225))) | hBOOL(hAPP(hAPP(c_member(_u221), skolem4(_u225, _u223, _u221, _u219)), _u225)) )).
% 12.21/12.44 cnf(matrix-1130, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u217), _u219), hAPP(c_Set_Oimage(_u221, _u217, _u223), _u225))) | ( _u219 = hAPP(_u223, skolem4(_u225, _u223, _u221, _u219))) )).
% 12.21/12.44 cnf(matrix-1131, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u222), _u211), _u226)) | ( _u220 != hAPP(_u224, _u211)) | hBOOL(hAPP(hAPP(c_member(_u218), _u220), hAPP(c_Set_Oimage(_u222, _u218, _u224), _u226))) )).
% 12.21/12.44 cnf(matrix-1132, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u227), c_Orderings_Obot__class_Obot(tc_fun(_u227, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1133, plain, ( ( _u229 = _u230) | ( hAPP(hAPP(c_Set_Oinsert(_u228), _u229), c_Orderings_Obot__class_Obot(tc_fun(_u228, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u228), _u230), c_Orderings_Obot__class_Obot(tc_fun(_u228, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1134, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u236), _u238), hAPP(hAPP(c_Set_Oinsert(_u236), _u240), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u236), _u242), hAPP(hAPP(c_Set_Oinsert(_u236), _u244), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool))))) | ( _u238 = _u242) | ( _u238 = _u244) )).
% 12.21/12.44 cnf(matrix-1135, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u236), _u238), hAPP(hAPP(c_Set_Oinsert(_u236), _u240), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u236), _u242), hAPP(hAPP(c_Set_Oinsert(_u236), _u244), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool))))) | ( _u238 = _u242) | ( _u240 = _u242) )).
% 12.21/12.44 cnf(matrix-1136, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u236), _u238), hAPP(hAPP(c_Set_Oinsert(_u236), _u240), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u236), _u242), hAPP(hAPP(c_Set_Oinsert(_u236), _u244), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool))))) | ( _u240 = _u244) | ( _u238 = _u244) )).
% 12.21/12.44 cnf(matrix-1137, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u236), _u238), hAPP(hAPP(c_Set_Oinsert(_u236), _u240), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u236), _u242), hAPP(hAPP(c_Set_Oinsert(_u236), _u244), c_Orderings_Obot__class_Obot(tc_fun(_u236, tc_HOL_Obool))))) | ( _u240 = _u244) | ( _u240 = _u242) )).
% 12.21/12.44 cnf(matrix-1138, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u237), _u239), hAPP(hAPP(c_Set_Oinsert(_u237), _u241), c_Orderings_Obot__class_Obot(tc_fun(_u237, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u237), _u243), hAPP(hAPP(c_Set_Oinsert(_u237), _u245), c_Orderings_Obot__class_Obot(tc_fun(_u237, tc_HOL_Obool))))) | ( _u239 != _u243) | ( _u241 != _u245) )).
% 12.21/12.44 cnf(matrix-1139, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u237), _u239), hAPP(hAPP(c_Set_Oinsert(_u237), _u241), c_Orderings_Obot__class_Obot(tc_fun(_u237, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u237), _u243), hAPP(hAPP(c_Set_Oinsert(_u237), _u245), c_Orderings_Obot__class_Obot(tc_fun(_u237, tc_HOL_Obool))))) | ( _u239 != _u245) | ( _u241 != _u243) )).
% 12.21/12.44 cnf(matrix-1140, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u246), _u247), _u248) != c_Orderings_Obot__class_Obot(tc_fun(_u246, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1141, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u249, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u249), _u250), _u251)) )).
% 12.21/12.44 cnf(matrix-1142, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u255), hAPP(hAPP(c_Set_Oinsert(_u255), _u257), _u259))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u255), _u259)) )).
% 12.21/12.44 cnf(matrix-1143, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u256), _u260)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u256), hAPP(hAPP(c_Set_Oinsert(_u256), _u258), _u260))) )).
% 12.21/12.44 cnf(matrix-1144, plain, ( ( hAPP(c_Set_Oimage(_u265, _u267, _u269), _u271) != c_Orderings_Obot__class_Obot(tc_fun(_u267, tc_HOL_Obool))) | ( _u271 = c_Orderings_Obot__class_Obot(tc_fun(_u265, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1145, plain, ( ( _u272 != c_Orderings_Obot__class_Obot(tc_fun(_u266, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u266, _u268, _u270), _u272) = c_Orderings_Obot__class_Obot(tc_fun(_u268, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1146, plain, ( ( hAPP(c_Set_Oimage(_u273, _u274, _u275), c_Orderings_Obot__class_Obot(tc_fun(_u273, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u274, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1147, plain, ( ( _u286 = c_Orderings_Obot__class_Obot(tc_fun(_u282, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u280, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u282, _u280, _u284), _u286)) )).
% 12.21/12.44 cnf(matrix-1148, plain, ( ( _u287 != c_Orderings_Obot__class_Obot(tc_fun(_u283, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u281, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u283, _u281, _u285), _u287)) )).
% 12.21/12.44 cnf(matrix-1149, plain, ( ( hAPP(c_Set_Oimage(_u288, _u289, _u290), hAPP(hAPP(c_Set_Oinsert(_u288), _u291), _u292)) = hAPP(hAPP(c_Set_Oinsert(_u289), hAPP(_u290, _u291)), hAPP(c_Set_Oimage(_u288, _u289, _u290), _u292))) )).
% 12.21/12.44 cnf(matrix-1150, plain, ( ( c_Set_Othe__elem(_u293, hAPP(hAPP(c_Set_Oinsert(_u293), _u294), c_Orderings_Obot__class_Obot(tc_fun(_u293, tc_HOL_Obool)))) = _u294) )).
% 12.21/12.44 cnf(matrix-1151, plain, ( ~class_Orderings_Obot(_u295) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u296, _u295)), _u297) = c_Orderings_Obot__class_Obot(_u295)) )).
% 12.21/12.44 cnf(matrix-1152, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u300, tc_HOL_Obool)), _u302)) | hBOOL(hAPP(hAPP(c_member(_u300), _u302), c_Orderings_Obot__class_Obot(tc_fun(_u300, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1153, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u301), _u303), c_Orderings_Obot__class_Obot(tc_fun(_u301, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u301, tc_HOL_Obool)), _u303)) )).
% 12.21/12.44 cnf(matrix-1154, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u304, _u305, _u306, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u304), _u307), _u308), _u309)) = hAPP(hAPP(hAPP(_u306, _u307), _u308), _u309)) )).
% 12.21/12.44 cnf(matrix-1155, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u310, _u311, _u312, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u310), _u313), _u314), _u315)) = hAPP(hAPP(hAPP(_u312, _u313), _u314), _u315)) )).
% 12.21/12.44 cnf(matrix-1156, plain, ( ~c_Finite__Set_Ofolding__one(_u316, _u317, _u318) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u316), _u319)) | hBOOL(hAPP(hAPP(c_member(_u316), _u320), _u319)) | ( _u319 = c_Orderings_Obot__class_Obot(tc_fun(_u316, tc_HOL_Obool))) | ( hAPP(_u318, hAPP(hAPP(c_Set_Oinsert(_u316), _u320), _u319)) = hAPP(hAPP(_u317, _u320), hAPP(_u318, _u319))) )).
% 12.21/12.44 cnf(matrix-1157, plain, ( ~class_Orderings_Obot(_u321) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u322, _u321)), _u323) = c_Orderings_Obot__class_Obot(_u321)) )).
% 12.21/12.44 cnf(matrix-1158, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u327, _u328, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u327)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u327), _u326), _u329), _u330)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u327), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u326, skolem5(_u330, _u329, _u328, _u327, _u326)), skolem6(_u330, _u329, _u328, _u327, _u326))) )).
% 12.21/12.44 cnf(matrix-1159, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u327, _u328, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u327)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u327), _u326), _u329), _u330)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u327), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u327, _u328, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u327)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u327), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u327), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem6(_u330, _u329, _u328, _u327, _u326)))), _u329), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u327), hAPP(_u330, skolem5(_u330, _u329, _u328, _u327, _u326))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u327), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1160, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u331, _u332, _u333) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u331), _u334)) | ( _u334 = c_Orderings_Obot__class_Obot(tc_fun(_u331, tc_HOL_Obool))) | ( hAPP(_u333, hAPP(hAPP(c_Set_Oinsert(_u331), _u335), _u334)) = hAPP(hAPP(_u332, _u335), hAPP(_u333, _u334))) )).
% 12.21/12.44 cnf(matrix-1161, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u336, _u337, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u336)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u336), _u338), c_Com_Ocom_OSKIP), _u338)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u336), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1162, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u339, _u340, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u339)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u339), _u341), c_Com_Ocom_OSKIP), _u341)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u339), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1163, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u344, _u345, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u344)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u344), _u346), _u347), _u348)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u344), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u344, _u345, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u344)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u344), _u349), _u347), _u348)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u344), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u349, skolem7(_u349, _u348, _u347, _u346, _u345, _u344)), skolem8(_u349, _u348, _u347, _u346, _u345, _u344))) )).
% 12.21/12.44 cnf(matrix-1164, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u344, _u345, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u344)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u344), _u346), _u347), _u348)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u344), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u344, _u345, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u344)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u344), _u349), _u347), _u348)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u344), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u346, skolem7(_u349, _u348, _u347, _u346, _u345, _u344)), skolem8(_u349, _u348, _u347, _u346, _u345, _u344))) )).
% 12.21/12.44 cnf(matrix-1165, plain, ( ( hAPP(hAPP(_u351, _u353), _u353) = _u353) | ~c_Finite__Set_Ofolding__one__idem(_u350, _u351, _u352) )).
% 12.21/12.44 cnf(matrix-1166, plain, ( ( _u359 = _u361) | ~hBOOL(hAPP(hAPP(c_member(_u357), _u359), hAPP(c_fequal, _u361))) )).
% 12.21/12.44 cnf(matrix-1167, plain, ( ( _u360 != _u362) | hBOOL(hAPP(hAPP(c_member(_u358), _u360), hAPP(c_fequal, _u362))) )).
% 12.21/12.44 cnf(matrix-1168, plain, ( ~c_Finite__Set_Ofolding__one(_u363, _u364, _u365) | ( hAPP(_u365, hAPP(hAPP(c_Set_Oinsert(_u363), _u366), c_Orderings_Obot__class_Obot(tc_fun(_u363, tc_HOL_Obool)))) = _u366) )).
% 12.21/12.44 cnf(matrix-1169, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u367, _u368, _u369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u367), _u370)) | ~hBOOL(hAPP(hAPP(c_member(_u367), _u371), _u370)) | ( hAPP(hAPP(_u368, _u371), hAPP(_u369, _u370)) = hAPP(_u369, _u370)) )).
% 12.21/12.44 cnf(matrix-1170, plain, ( ( _u377 = _u379) | ( hAPP(hAPP(c_COMBC(_u375, tc_fun(_u375, tc_HOL_Obool), tc_HOL_Obool), c_member(_u375)), _u377) != hAPP(hAPP(c_COMBC(_u375, tc_fun(_u375, tc_HOL_Obool), tc_HOL_Obool), c_member(_u375)), _u379)) )).
% 12.21/12.44 cnf(matrix-1171, plain, ( ( _u378 != _u380) | ( hAPP(hAPP(c_COMBC(_u376, tc_fun(_u376, tc_HOL_Obool), tc_HOL_Obool), c_member(_u376)), _u378) = hAPP(hAPP(c_COMBC(_u376, tc_fun(_u376, tc_HOL_Obool), tc_HOL_Obool), c_member(_u376)), _u380)) )).
% 12.21/12.44 cnf(matrix-1172, plain, ( ~c_Finite__Set_Ofolding__one(_u383, _u384, _u385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u383), _u386)) | ( _u386 = c_Orderings_Obot__class_Obot(tc_fun(_u383, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u383), hAPP(hAPP(_u384, skolem9(_u386, _u385, _u384, _u383)), skolem10(_u386, _u385, _u384, _u383))), hAPP(hAPP(c_Set_Oinsert(_u383), skolem9(_u386, _u385, _u384, _u383)), hAPP(hAPP(c_Set_Oinsert(_u383), skolem10(_u386, _u385, _u384, _u383)), c_Orderings_Obot__class_Obot(tc_fun(_u383, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u383), hAPP(_u385, _u386)), _u386)) )).
% 12.21/12.44 cnf(matrix-1173, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u389, _u390, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u389)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u389), _u391), _u392), _u393)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u389), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u389, _u390, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u389)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u389), _u391), _u392), _u394)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u389), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u393, skolem11(_u394, _u393, _u392, _u391, _u390, _u389)), skolem12(_u394, _u393, _u392, _u391, _u390, _u389))) )).
% 12.21/12.44 cnf(matrix-1174, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u389, _u390, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u389)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u389), _u391), _u392), _u393)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u389), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u389, _u390, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u389)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u389), _u391), _u392), _u394)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u389), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u394, skolem11(_u394, _u393, _u392, _u391, _u390, _u389)), skolem12(_u394, _u393, _u392, _u391, _u390, _u389))) )).
% 12.21/12.44 cnf(matrix-1175, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u395, _u396, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u395)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u395), _u397), _u398), _u399)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u395), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u395, _u396, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u395)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u395), _u399), _u400), _u401)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u395), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u395, _u396, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u395)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u395), _u397), c_Com_Ocom_OSemi(_u398, _u400)), _u401)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u395), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1176, plain, ( ( c_Set_Othe__elem(_u402, _u403) = c_HOL_OThe(_u402, hAPP(hAPP(c_COMBB(tc_fun(_u402, tc_HOL_Obool), tc_HOL_Obool, _u402), hAPP(c_fequal, _u403)), hAPP(hAPP(c_COMBC(_u402, tc_fun(_u402, tc_HOL_Obool), tc_fun(_u402, tc_HOL_Obool)), c_Set_Oinsert(_u402)), c_Orderings_Obot__class_Obot(tc_fun(_u402, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1177, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u404, _u405, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u404)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u404), hAPP(hAPP(c_COMBC(_u404, tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u404), c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u404), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u406))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u407))), c_Com_Ocom_OWhile(_u407, _u408)), _u406)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u404), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1178, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u411, _u412, _u413) | ( hAPP(_u414, hAPP(hAPP(_u412, skolem13(_u415, _u414, _u413, _u412, _u411)), skolem14(_u415, _u414, _u413, _u412, _u411))) != hAPP(hAPP(_u412, hAPP(_u414, skolem13(_u415, _u414, _u413, _u412, _u411))), hAPP(_u414, skolem14(_u415, _u414, _u413, _u412, _u411)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u411), _u415)) | ( _u415 = c_Orderings_Obot__class_Obot(tc_fun(_u411, tc_HOL_Obool))) | ( hAPP(_u414, hAPP(_u413, _u415)) = hAPP(_u413, hAPP(c_Set_Oimage(_u411, _u411, _u414), _u415))) )).
% 12.21/12.44 cnf(matrix-1179, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u417), _u422)) | hBOOL(hAPP(hAPP(c_member(_u417), _u423), _u422)) | ( hAPP(_u421, hAPP(hAPP(c_Set_Oinsert(_u417), _u423), _u422)) = hAPP(hAPP(_u418, hAPP(_u420, _u423)), hAPP(_u421, _u422))) | ~c_Finite__Set_Ofolding__image__simple(_u416, _u417, _u418, _u419, _u420, _u421) )).
% 12.21/12.44 cnf(matrix-1180, plain, ( ~c_Finite__Set_Ofolding__one(_u424, _u425, _u426) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u424), _u427)) | ~hBOOL(hAPP(hAPP(c_member(_u424), _u428), _u427)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u424, tc_HOL_Obool)), _u427), hAPP(hAPP(c_Set_Oinsert(_u424), _u428), c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool))) | ( hAPP(_u426, _u427) = _u428) )).
% 12.21/12.44 cnf(matrix-1181, plain, ( ~c_Finite__Set_Ofolding__one(_u424, _u425, _u426) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u424), _u427)) | ~hBOOL(hAPP(hAPP(c_member(_u424), _u428), _u427)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u424, tc_HOL_Obool)), _u427), hAPP(hAPP(c_Set_Oinsert(_u424), _u428), c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool))) | ( hAPP(_u426, _u427) = hAPP(hAPP(_u425, _u428), hAPP(_u426, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u424, tc_HOL_Obool)), _u427), hAPP(hAPP(c_Set_Oinsert(_u424), _u428), c_Orderings_Obot__class_Obot(tc_fun(_u424, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1182, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u430), _u435)) | ( hAPP(_u434, hAPP(hAPP(c_Set_Oinsert(_u430), _u436), _u435)) = hAPP(hAPP(_u431, hAPP(_u433, _u436)), hAPP(_u434, _u435))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u429, _u430, _u431, _u432, _u433, _u434) )).
% 12.21/12.44 cnf(matrix-1183, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), _u440)) | ~hBOOL(hAPP(_u441, c_Orderings_Obot__class_Obot(tc_fun(_u439, tc_HOL_Obool)))) | hBOOL(hAPP(_u441, _u440)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), skolem16(_u441, _u440, _u439))) )).
% 12.21/12.44 cnf(matrix-1184, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), _u440)) | ~hBOOL(hAPP(_u441, c_Orderings_Obot__class_Obot(tc_fun(_u439, tc_HOL_Obool)))) | hBOOL(hAPP(_u441, _u440)) | ~hBOOL(hAPP(hAPP(c_member(_u439), skolem15(_u441, _u440, _u439)), skolem16(_u441, _u440, _u439))) )).
% 12.21/12.44 cnf(matrix-1185, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), _u440)) | ~hBOOL(hAPP(_u441, c_Orderings_Obot__class_Obot(tc_fun(_u439, tc_HOL_Obool)))) | hBOOL(hAPP(_u441, _u440)) | hBOOL(hAPP(_u441, skolem16(_u441, _u440, _u439))) )).
% 12.21/12.44 cnf(matrix-1186, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u439), _u440)) | ~hBOOL(hAPP(_u441, c_Orderings_Obot__class_Obot(tc_fun(_u439, tc_HOL_Obool)))) | hBOOL(hAPP(_u441, _u440)) | ~hBOOL(hAPP(_u441, hAPP(hAPP(c_Set_Oinsert(_u439), skolem15(_u441, _u440, _u439)), skolem16(_u441, _u440, _u439)))) )).
% 12.21/12.44 cnf(matrix-1187, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u443), _u448)) | ~hBOOL(hAPP(hAPP(c_member(_u443), _u449), _u448)) | ( hAPP(hAPP(_u444, hAPP(_u446, _u449)), hAPP(_u447, _u448)) = hAPP(_u447, _u448)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u442, _u443, _u444, _u445, _u446, _u447) )).
% 12.21/12.44 cnf(matrix-1188, plain, ( ( hAPP(c_Set_Oimage(_u450, _u450, c_COMBI(_u450)), _u451) = _u451) )).
% 12.21/12.44 cnf(matrix-1189, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u452, tc_HOL_Obool)), _u454), _u455))) | hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u454)) )).
% 12.21/12.44 cnf(matrix-1190, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u452, tc_HOL_Obool)), _u454), _u455))) | ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u455)) )).
% 12.21/12.44 cnf(matrix-1191, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u456), _u457), _u458)) | hBOOL(hAPP(hAPP(c_member(_u456), _u457), _u459)) | hBOOL(hAPP(hAPP(c_member(_u456), _u457), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u456, tc_HOL_Obool)), _u458), _u459))) )).
% 12.21/12.44 cnf(matrix-1192, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u460), _u461)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u460), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u460, tc_HOL_Obool)), _u461), _u462))) )).
% 12.21/12.44 cnf(matrix-1193, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u463, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u463, tc_HOL_Obool)), _u464), _u465)), _u465) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u463, tc_HOL_Obool)), _u464), _u465)) )).
% 12.21/12.44 cnf(matrix-1194, plain, ( ( hAPP(hAPP(_u468, _u472), _u472) = _u472) | ~c_Finite__Set_Ofolding__image__simple__idem(_u466, _u467, _u468, _u469, _u470, _u471) )).
% 12.21/12.44 cnf(matrix-1195, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u473), _u474), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u473, tc_HOL_Obool)), _u475), _u476))) | ~hBOOL(hAPP(hAPP(c_member(_u473), _u474), _u476)) )).
% 12.21/12.44 cnf(matrix-1196, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u477), _u478), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u477, tc_HOL_Obool)), _u479), _u480))) | hBOOL(hAPP(hAPP(c_member(_u477), _u478), _u479)) )).
% 12.21/12.44 cnf(matrix-1197, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u485), _u487), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u485, tc_HOL_Obool)), _u489), _u491))) | hBOOL(hAPP(hAPP(c_member(_u485), _u487), _u489)) )).
% 12.21/12.44 cnf(matrix-1198, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u485), _u487), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u485, tc_HOL_Obool)), _u489), _u491))) | ~hBOOL(hAPP(hAPP(c_member(_u485), _u487), _u491)) )).
% 12.21/12.44 cnf(matrix-1199, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u486), _u488), _u490)) | hBOOL(hAPP(hAPP(c_member(_u486), _u488), _u492)) | hBOOL(hAPP(hAPP(c_member(_u486), _u488), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u486, tc_HOL_Obool)), _u490), _u492))) )).
% 12.21/12.44 cnf(matrix-1200, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u493, tc_HOL_Obool)), _u494), _u494) = c_Orderings_Obot__class_Obot(tc_fun(_u493, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1201, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u495, tc_HOL_Obool)), _u496), c_Orderings_Obot__class_Obot(tc_fun(_u495, tc_HOL_Obool))) = _u496) )).
% 12.21/12.44 cnf(matrix-1202, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u497, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u497, tc_HOL_Obool))), _u498) = c_Orderings_Obot__class_Obot(tc_fun(_u497, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1203, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), _u500)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u499, tc_HOL_Obool)), _u501), _u500))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), _u501)) )).
% 12.21/12.44 cnf(matrix-1204, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), _u500)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), _u501)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u499), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u499, tc_HOL_Obool)), _u501), _u500))) )).
% 12.21/12.44 cnf(matrix-1205, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u503), _u508)) | ( hAPP(_u507, hAPP(hAPP(c_Set_Oinsert(_u503), _u509), _u508)) = hAPP(hAPP(_u504, hAPP(_u506, _u509)), hAPP(_u507, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u503, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u503), _u509), c_Orderings_Obot__class_Obot(tc_fun(_u503, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u502, _u503, _u504, _u505, _u506, _u507) )).
% 12.21/12.44 cnf(matrix-1206, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u510), _u511), _u512)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u510, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u510), _u511), _u513)), _u512) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u510, tc_HOL_Obool)), _u513), _u512)) )).
% 12.21/12.44 cnf(matrix-1207, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u518), _u520), _u522)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u518, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u518), _u520), _u524)), _u522) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u518, tc_HOL_Obool)), _u524), _u522)) )).
% 12.21/12.44 cnf(matrix-1208, plain, ( hBOOL(hAPP(hAPP(c_member(_u519), _u521), _u523)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u519, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u519), _u521), _u525)), _u523) = hAPP(hAPP(c_Set_Oinsert(_u519), _u521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u519, tc_HOL_Obool)), _u525), _u523))) )).
% 12.21/12.44 cnf(matrix-1209, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u526), _u527), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u526, tc_HOL_Obool)), _u528), hAPP(hAPP(c_Set_Oinsert(_u526), _u527), c_Orderings_Obot__class_Obot(tc_fun(_u526, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u526), _u527), _u528)) )).
% 12.21/12.44 cnf(matrix-1210, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u529, tc_HOL_Obool)), _u530), hAPP(hAPP(c_Set_Oinsert(_u529), _u531), _u532)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u529, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u529, tc_HOL_Obool)), _u530), hAPP(hAPP(c_Set_Oinsert(_u529), _u531), c_Orderings_Obot__class_Obot(tc_fun(_u529, tc_HOL_Obool))))), _u532)) )).
% 12.21/12.44 cnf(matrix-1211, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u533, tc_HOL_Obool)), _u534), hAPP(hAPP(c_Set_Oinsert(_u533), _u535), _u536)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u533, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u533, tc_HOL_Obool)), _u534), _u536)), hAPP(hAPP(c_Set_Oinsert(_u533), _u535), c_Orderings_Obot__class_Obot(tc_fun(_u533, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1212, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u541, tc_HOL_Obool)), _u543), hAPP(hAPP(c_Set_Oinsert(_u541), _u545), _u547)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u541, tc_HOL_Obool)), _u543), _u547))) )).
% 12.21/12.44 cnf(matrix-1213, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u542), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u542, tc_HOL_Obool)), _u544), _u548))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u542), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u542, tc_HOL_Obool)), _u544), hAPP(hAPP(c_Set_Oinsert(_u542), _u546), _u548)))) )).
% 12.21/12.44 cnf(matrix-1214, plain, ( ( hAPP(_u554, c_Orderings_Obot__class_Obot(tc_fun(_u550, tc_HOL_Obool))) = _u552) | ~c_Finite__Set_Ofolding__image__simple(_u549, _u550, _u551, _u552, _u553, _u554) )).
% 12.21/12.44 cnf(matrix-1215, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u556), _u561)) | ~hBOOL(hAPP(hAPP(c_member(_u556), _u562), _u561)) | ( hAPP(_u560, _u561) = hAPP(hAPP(_u557, hAPP(_u559, _u562)), hAPP(_u560, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u556, tc_HOL_Obool)), _u561), hAPP(hAPP(c_Set_Oinsert(_u556), _u562), c_Orderings_Obot__class_Obot(tc_fun(_u556, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u555, _u556, _u557, _u558, _u559, _u560) )).
% 12.21/12.44 cnf(matrix-1216, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u563), _u564), _u565)) | ( hAPP(hAPP(c_Set_Oinsert(_u563), _u564), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u563, tc_HOL_Obool)), _u565), hAPP(hAPP(c_Set_Oinsert(_u563), _u564), c_Orderings_Obot__class_Obot(tc_fun(_u563, tc_HOL_Obool))))) = _u565) )).
% 12.21/12.44 cnf(matrix-1217, plain, ( hBOOL(hAPP(hAPP(c_member(_u566), _u567), _u568)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u566, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u566), _u567), _u568)), hAPP(hAPP(c_Set_Oinsert(_u566), _u567), c_Orderings_Obot__class_Obot(tc_fun(_u566, tc_HOL_Obool)))) = _u568) )).
% 12.21/12.44 cnf(matrix-1218, plain, ( ~c_Finite__Set_Ofolding__one(_u569, _u570, _u571) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u569), _u572)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u569, tc_HOL_Obool)), _u572), hAPP(hAPP(c_Set_Oinsert(_u569), _u573), c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool))) | ( hAPP(_u571, hAPP(hAPP(c_Set_Oinsert(_u569), _u573), _u572)) = _u573) )).
% 12.21/12.44 cnf(matrix-1219, plain, ( ~c_Finite__Set_Ofolding__one(_u569, _u570, _u571) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u569), _u572)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u569, tc_HOL_Obool)), _u572), hAPP(hAPP(c_Set_Oinsert(_u569), _u573), c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool))) | ( hAPP(_u571, hAPP(hAPP(c_Set_Oinsert(_u569), _u573), _u572)) = hAPP(hAPP(_u570, _u573), hAPP(_u571, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u569, tc_HOL_Obool)), _u572), hAPP(hAPP(c_Set_Oinsert(_u569), _u573), c_Orderings_Obot__class_Obot(tc_fun(_u569, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1220, plain, ( ~class_Groups_Ominus(_u574) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u575, _u574)), _u576), _u577), _u578) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u574), hAPP(_u576, _u578)), hAPP(_u577, _u578))) )).
% 12.21/12.44 cnf(matrix-1221, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u579, _u580)) )).
% 12.21/12.44 cnf(matrix-1222, plain, ( ( c_Com_Ocom_OSemi(_u581, _u582) != c_Com_Ocom_OSKIP) )).
% 12.21/12.44 cnf(matrix-1223, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u583, _u584)) )).
% 12.21/12.44 cnf(matrix-1224, plain, ( ( c_Com_Ocom_OWhile(_u585, _u586) != c_Com_Ocom_OSKIP) )).
% 12.21/12.44 cnf(matrix-1225, plain, ( ( c_Com_Ocom_OSemi(_u587, _u588) != c_Com_Ocom_OWhile(_u589, _u590)) )).
% 12.21/12.44 cnf(matrix-1226, plain, ( ( c_Com_Ocom_OWhile(_u591, _u592) != c_Com_Ocom_OSemi(_u593, _u594)) )).
% 12.21/12.44 cnf(matrix-1227, plain, ( ~class_Groups_Ominus(_u595) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u596, _u595)), _u597), _u598), _u599) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u595), hAPP(_u597, _u599)), hAPP(_u598, _u599))) )).
% 12.21/12.44 cnf(matrix-1228, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u606), _u608), _u610)) | ( hAPP(c_Set_Oimage(_u606, _u612, c_Fun_Ofun__upd(_u606, _u612, _u614, _u608, _u616)), _u610) = hAPP(hAPP(c_Set_Oinsert(_u612), _u616), hAPP(c_Set_Oimage(_u606, _u612, _u614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u606, tc_HOL_Obool)), _u610), hAPP(hAPP(c_Set_Oinsert(_u606), _u608), c_Orderings_Obot__class_Obot(tc_fun(_u606, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1229, plain, ( hBOOL(hAPP(hAPP(c_member(_u607), _u609), _u611)) | ( hAPP(c_Set_Oimage(_u607, _u613, c_Fun_Ofun__upd(_u607, _u613, _u615, _u609, _u617)), _u611) = hAPP(c_Set_Oimage(_u607, _u613, _u615), _u611)) )).
% 12.21/12.44 cnf(matrix-1230, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), _u621)) | ~hBOOL(hAPP(_u622, _u621)) | hBOOL(hAPP(_u622, c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), skolem18(_u622, _u621, _u620))) )).
% 12.21/12.44 cnf(matrix-1231, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), _u621)) | ~hBOOL(hAPP(_u622, _u621)) | hBOOL(hAPP(_u622, c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u620), skolem17(_u622, _u621, _u620)), skolem18(_u622, _u621, _u620))) )).
% 12.21/12.44 cnf(matrix-1232, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), _u621)) | ~hBOOL(hAPP(_u622, _u621)) | hBOOL(hAPP(_u622, c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))) | hBOOL(hAPP(_u622, skolem18(_u622, _u621, _u620))) )).
% 12.21/12.44 cnf(matrix-1233, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u620), _u621)) | ~hBOOL(hAPP(_u622, _u621)) | hBOOL(hAPP(_u622, c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u622, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u620, tc_HOL_Obool)), skolem18(_u622, _u621, _u620)), hAPP(hAPP(c_Set_Oinsert(_u620), skolem17(_u622, _u621, _u620)), c_Orderings_Obot__class_Obot(tc_fun(_u620, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1234, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u623, tc_fun(_u623, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u623, tc_HOL_Obool), tc_fun(tc_fun(_u623, tc_HOL_Obool), tc_fun(_u623, tc_HOL_Obool)), _u623), hAPP(c_COMBC(tc_fun(_u623, tc_HOL_Obool), tc_fun(_u623, tc_HOL_Obool), tc_fun(_u623, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u623, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u623, tc_fun(_u623, tc_HOL_Obool), tc_fun(_u623, tc_HOL_Obool)), c_Set_Oinsert(_u623)), c_Orderings_Obot__class_Obot(tc_fun(_u623, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1235, plain, ( ( c_HOL_OThe(_u624, hAPP(c_fequal, _u625)) = _u625) )).
% 12.21/12.44 cnf(matrix-1236, plain, ( ( c_Fun_Ofun__upd(_u626, _u627, _u628, _u629, hAPP(_u628, _u629)) = _u628) )).
% 12.21/12.44 cnf(matrix-1237, plain, ( ( hAPP(_u639, _u641) = _u643) | ( c_Fun_Ofun__upd(_u635, _u637, _u639, _u641, _u643) != _u639) )).
% 12.21/12.44 cnf(matrix-1238, plain, ( ( hAPP(_u640, _u642) != _u644) | ( c_Fun_Ofun__upd(_u636, _u638, _u640, _u642, _u644) = _u640) )).
% 12.21/12.44 cnf(matrix-1239, plain, ( ( c_Fun_Ofun__upd(_u645, _u646, c_Fun_Ofun__upd(_u645, _u646, _u647, _u648, _u649), _u648, _u650) = c_Fun_Ofun__upd(_u645, _u646, _u647, _u648, _u650)) )).
% 12.21/12.44 cnf(matrix-1240, plain, ( ( hAPP(c_Fun_Ofun__upd(_u651, _u652, _u653, _u654, _u655), _u654) = _u655) )).
% 12.21/12.44 cnf(matrix-1241, plain, ( ( _u662 != _u664) | ( hAPP(c_Fun_Ofun__upd(_u666, _u668, _u670, _u664, _u672), _u662) = _u672) )).
% 12.21/12.44 cnf(matrix-1242, plain, ( ( _u663 = _u665) | ( hAPP(c_Fun_Ofun__upd(_u667, _u669, _u671, _u665, _u673), _u663) = hAPP(_u671, _u663)) )).
% 12.21/12.44 cnf(matrix-1243, plain, ( ( _u674 = _u675) | ( c_Fun_Ofun__upd(_u676, _u677, c_Fun_Ofun__upd(_u676, _u677, _u678, _u674, _u679), _u675, _u680) = c_Fun_Ofun__upd(_u676, _u677, c_Fun_Ofun__upd(_u676, _u677, _u678, _u675, _u680), _u674, _u679)) )).
% 12.21/12.44 cnf(matrix-1244, plain, ( ( _u681 = _u682) | ( hAPP(c_Fun_Ofun__upd(_u683, _u684, _u685, _u682, _u686), _u681) = hAPP(_u685, _u681)) )).
% 12.21/12.44 cnf(matrix-1245, plain, ( ( hAPP(_u687, _u688) != _u689) | ( c_Fun_Ofun__upd(_u690, _u691, _u687, _u688, _u689) = _u687) )).
% 12.21/12.44 cnf(matrix-1246, plain, ( ( hAPP(hAPP(_u694, _u695), hAPP(hAPP(_u694, _u695), _u696)) = hAPP(hAPP(_u694, _u695), _u696)) | ~c_Finite__Set_Ofun__left__comm__idem(_u692, _u693, _u694) )).
% 12.21/12.44 cnf(matrix-1247, plain, ( ( _u703 != _u705) | ( hAPP(c_Fun_Ofun__upd(_u707, _u709, _u711, _u705, _u713), _u703) = _u713) )).
% 12.21/12.44 cnf(matrix-1248, plain, ( ( _u704 = _u706) | ( hAPP(c_Fun_Ofun__upd(_u708, _u710, _u712, _u706, _u714), _u704) = hAPP(_u712, _u704)) )).
% 12.21/12.44 cnf(matrix-1249, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u715, _u716, _u717) | c_Finite__Set_Ofun__left__comm__idem(_u718, _u716, hAPP(hAPP(c_COMBB(_u715, tc_fun(_u716, _u716), _u718), _u717), _u719)) )).
% 12.21/12.44 cnf(matrix-1250, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u720, tc_fun(_u720, tc_HOL_Obool), c_Set_Oinsert(_u720)) )).
% 12.21/12.44 cnf(matrix-1251, plain, ( ( c_Com_Ocom_OWhile(_u725, _u727) != c_Com_Ocom_OWhile(_u729, _u731)) | ( _u725 = _u729) )).
% 12.21/12.44 cnf(matrix-1252, plain, ( ( c_Com_Ocom_OWhile(_u725, _u727) != c_Com_Ocom_OWhile(_u729, _u731)) | ( _u727 = _u731) )).
% 12.21/12.44 cnf(matrix-1253, plain, ( ( _u726 != _u730) | ( _u728 != _u732) | ( c_Com_Ocom_OWhile(_u726, _u728) = c_Com_Ocom_OWhile(_u730, _u732)) )).
% 12.21/12.44 cnf(matrix-1254, plain, ( ( c_Com_Ocom_OSemi(_u737, _u739) != c_Com_Ocom_OSemi(_u741, _u743)) | ( _u737 = _u741) )).
% 12.21/12.44 cnf(matrix-1255, plain, ( ( c_Com_Ocom_OSemi(_u737, _u739) != c_Com_Ocom_OSemi(_u741, _u743)) | ( _u739 = _u743) )).
% 12.21/12.44 cnf(matrix-1256, plain, ( ( _u738 != _u742) | ( _u740 != _u744) | ( c_Com_Ocom_OSemi(_u738, _u740) = c_Com_Ocom_OSemi(_u742, _u744)) )).
% 12.21/12.44 cnf(matrix-1257, plain, ( ( c_HOL_OThe(_u745, hAPP(hAPP(c_COMBC(_u745, _u745, tc_HOL_Obool), c_fequal), _u746)) = _u746) )).
% 12.21/12.44 cnf(matrix-1258, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u749)) | ~c_Nitpick_Ofold__graph_H(_u747, _u750, _u751, _u752, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u747, tc_HOL_Obool)), _u749), hAPP(hAPP(c_Set_Oinsert(_u747), _u748), c_Orderings_Obot__class_Obot(tc_fun(_u747, tc_HOL_Obool)))), _u753) | c_Nitpick_Ofold__graph_H(_u747, _u750, _u751, _u752, _u749, hAPP(hAPP(_u751, _u748), _u753)) )).
% 12.21/12.44 cnf(matrix-1259, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u754, _u755, _u756, _u757, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u754, tc_HOL_Obool)), _u758), hAPP(hAPP(c_Set_Oinsert(_u754), _u759), c_Orderings_Obot__class_Obot(tc_fun(_u754, tc_HOL_Obool))))), _u760)) | ~hBOOL(hAPP(hAPP(c_member(_u754), _u759), _u758)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u754, _u755, _u756, _u757, _u758), hAPP(hAPP(_u756, _u759), _u760))) )).
% 12.21/12.44 cnf(matrix-1260, plain, ( ~c_Fun_Oinj__on(_u766, _u768, _u770, hAPP(hAPP(c_Set_Oinsert(_u766), _u772), _u774)) | c_Fun_Oinj__on(_u766, _u768, _u770, _u774) )).
% 12.21/12.44 cnf(matrix-1261, plain, ( ~c_Fun_Oinj__on(_u766, _u768, _u770, hAPP(hAPP(c_Set_Oinsert(_u766), _u772), _u774)) | ~hBOOL(hAPP(hAPP(c_member(_u768), hAPP(_u770, _u772)), hAPP(c_Set_Oimage(_u766, _u768, _u770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u766, tc_HOL_Obool)), _u774), hAPP(hAPP(c_Set_Oinsert(_u766), _u772), c_Orderings_Obot__class_Obot(tc_fun(_u766, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1262, plain, ( ~c_Fun_Oinj__on(_u767, _u769, _u771, _u775) | hBOOL(hAPP(hAPP(c_member(_u769), hAPP(_u771, _u773)), hAPP(c_Set_Oimage(_u767, _u769, _u771), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u767, tc_HOL_Obool)), _u775), hAPP(hAPP(c_Set_Oinsert(_u767), _u773), c_Orderings_Obot__class_Obot(tc_fun(_u767, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u767, _u769, _u771, hAPP(hAPP(c_Set_Oinsert(_u767), _u773), _u775)) )).
% 12.21/12.44 cnf(matrix-1263, plain, ( ~c_Finite__Set_Ofolding__one(_u776, _u777, _u778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u776), _u779)) | hBOOL(hAPP(hAPP(c_member(_u776), _u780), _u779)) | ( hAPP(_u778, hAPP(hAPP(c_Set_Oinsert(_u776), _u780), _u779)) = hAPP(hAPP(c_Finite__Set_Ofold(_u776, _u776, _u777), _u780), _u779)) )).
% 12.21/12.44 cnf(matrix-1264, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u781), _u782)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u781, tc_HOL_Obool)), _u783), _u782) = hAPP(hAPP(c_Finite__Set_Ofold(_u781, tc_fun(_u781, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u781, tc_HOL_Obool), tc_fun(tc_fun(_u781, tc_HOL_Obool), tc_fun(_u781, tc_HOL_Obool)), _u781), hAPP(c_COMBC(tc_fun(_u781, tc_HOL_Obool), tc_fun(_u781, tc_HOL_Obool), tc_fun(_u781, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u781, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u781, tc_fun(_u781, tc_HOL_Obool), tc_fun(_u781, tc_HOL_Obool)), c_Set_Oinsert(_u781)), c_Orderings_Obot__class_Obot(tc_fun(_u781, tc_HOL_Obool))))), _u783), _u782)) )).
% 12.21/12.44 cnf(matrix-1265, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u784, _u785, _u786, _u787), _u788) = c_HOL_OThe(_u784, hAPP(hAPP(c_COMBS(_u784, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u784), c_fconj), hAPP(hAPP(c_COMBC(_u784, tc_fun(_u784, tc_HOL_Obool), tc_HOL_Obool), c_member(_u784)), _u786))), hAPP(hAPP(c_COMBC(_u784, _u785, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u785, tc_fun(_u785, tc_HOL_Obool), _u784), c_fequal), _u787)), _u788)))) )).
% 12.21/12.44 cnf(matrix-1266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u793, tc_HOL_Obool)), _u795), hAPP(hAPP(c_Set_Oinsert(_u793), _u797), _u799))) | ~hBOOL(hAPP(hAPP(c_member(_u793), _u797), _u795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u793, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u793, tc_HOL_Obool)), _u795), hAPP(hAPP(c_Set_Oinsert(_u793), _u797), c_Orderings_Obot__class_Obot(tc_fun(_u793, tc_HOL_Obool))))), _u799)) )).
% 12.21/12.44 cnf(matrix-1267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u793, tc_HOL_Obool)), _u795), hAPP(hAPP(c_Set_Oinsert(_u793), _u797), _u799))) | hBOOL(hAPP(hAPP(c_member(_u793), _u797), _u795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u793, tc_HOL_Obool)), _u795), _u799)) )).
% 12.21/12.44 cnf(matrix-1268, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), _u800))) | hBOOL(hAPP(hAPP(c_member(_u794), _u798), _u796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), _u800)) )).
% 12.21/12.44 cnf(matrix-1269, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), _u800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), c_Orderings_Obot__class_Obot(tc_fun(_u794, tc_HOL_Obool))))), _u800)) | ~hBOOL(hAPP(hAPP(c_member(_u794), _u798), _u796)) )).
% 12.21/12.44 cnf(matrix-1270, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), _u800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u794, tc_HOL_Obool)), _u796), hAPP(hAPP(c_Set_Oinsert(_u794), _u798), c_Orderings_Obot__class_Obot(tc_fun(_u794, tc_HOL_Obool))))), _u800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u794, tc_HOL_Obool)), _u796), _u800)) )).
% 12.21/12.44 cnf(matrix-1271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u801), _u803), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u804)) | ~hBOOL(hAPP(hAPP(c_member(_u801), _u803), _u802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u801), _u803), _u804))) )).
% 12.21/12.44 cnf(matrix-1272, plain, ( ~class_Groups_Oab__group__add(_u805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u806), _u807)) | ~hBOOL(hAPP(hAPP(c_member(_u806), _u808), _u807)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u806, _u805), _u809), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u806, tc_HOL_Obool)), _u807), hAPP(hAPP(c_Set_Oinsert(_u806), _u808), c_Orderings_Obot__class_Obot(tc_fun(_u806, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u805), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u806, _u805), _u809), _u807)), hAPP(_u809, _u808))) )).
% 12.21/12.44 cnf(matrix-1273, plain, ( ~class_Groups_Oab__group__add(_u805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u806), _u807)) | hBOOL(hAPP(hAPP(c_member(_u806), _u808), _u807)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u806, _u805), _u809), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u806, tc_HOL_Obool)), _u807), hAPP(hAPP(c_Set_Oinsert(_u806), _u808), c_Orderings_Obot__class_Obot(tc_fun(_u806, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u806, _u805), _u809), _u807)) )).
% 12.21/12.44 cnf(matrix-1274, plain, ( ~class_Rings_Oring(_u810) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u811), _u812)) | ~hBOOL(hAPP(hAPP(c_member(_u811), _u813), _u812)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u811, _u810), _u814), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u811, tc_HOL_Obool)), _u812), hAPP(hAPP(c_Set_Oinsert(_u811), _u813), c_Orderings_Obot__class_Obot(tc_fun(_u811, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u810), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u811, _u810), _u814), _u812)), hAPP(_u814, _u813))) )).
% 12.21/12.44 cnf(matrix-1275, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u821), _u823), _u825)) | ( hAPP(c_Fun_Ooverride__on(_u821, _u827, _u829, _u831, _u825), _u823) = hAPP(_u831, _u823)) )).
% 12.21/12.44 cnf(matrix-1276, plain, ( hBOOL(hAPP(hAPP(c_member(_u822), _u824), _u826)) | ( hAPP(c_Fun_Ooverride__on(_u822, _u828, _u830, _u832, _u826), _u824) = hAPP(_u830, _u824)) )).
% 12.21/12.44 cnf(matrix-1277, plain, ( ~class_Orderings_Opreorder(_u833) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u833), _u834), _u834)) )).
% 12.21/12.44 cnf(matrix-1278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u835, tc_HOL_Obool)), _u836), _u837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u835, tc_HOL_Obool)), _u837), _u836)) | ( _u836 = _u837) )).
% 12.21/12.44 cnf(matrix-1279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u838, tc_HOL_Obool)), _u839), _u840)) | ~hBOOL(hAPP(hAPP(c_member(_u838), _u841), _u839)) | hBOOL(hAPP(hAPP(c_member(_u838), _u841), _u840)) )).
% 12.21/12.44 cnf(matrix-1280, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u842, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u842, tc_HOL_Obool))), _u843)) )).
% 12.21/12.44 cnf(matrix-1281, plain, ( c_Fun_Oinj__on(_u844, _u845, _u846, c_Orderings_Obot__class_Obot(tc_fun(_u844, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1282, plain, ( ~class_Orderings_Olinorder(_u847) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u847), _u848), _u849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u847), _u849), _u848)) )).
% 12.21/12.44 cnf(matrix-1283, plain, ( ~class_Orderings_Oord(_u850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u851, _u850)), _u852), _u853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u850), hAPP(_u852, _u854)), hAPP(_u853, _u854))) )).
% 12.21/12.44 cnf(matrix-1284, plain, ( ~class_Orderings_Oorder(_u855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u855), _u856), _u857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u855), _u858), _u856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u855), _u858), _u857)) )).
% 12.21/12.44 cnf(matrix-1285, plain, ( ~class_Orderings_Oorder(_u859) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u859), _u860), _u861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u859), _u861), _u860)) | ( _u861 = _u860) )).
% 12.21/12.44 cnf(matrix-1286, plain, ( ~class_Orderings_Opreorder(_u862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u862), _u863), _u864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u862), _u864), _u865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u862), _u863), _u865)) )).
% 12.21/12.44 cnf(matrix-1287, plain, ( ~class_Orderings_Oorder(_u866) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u866), _u867), _u868)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u866), _u868), _u867)) | ( _u867 = _u868) )).
% 12.21/12.44 cnf(matrix-1288, plain, ( ~class_Orderings_Oorder(_u869) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u869), _u870), _u871)) | ( _u870 != _u872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u869), _u872), _u871)) )).
% 12.21/12.44 cnf(matrix-1289, plain, ( ~class_Orderings_Oord(_u873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u873), _u874), _u875)) | ( _u875 != _u876) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u873), _u874), _u876)) )).
% 12.21/12.44 cnf(matrix-1290, plain, ( ~class_Orderings_Oorder(_u877) | ( _u878 != _u879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u877), _u880), _u879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u877), _u880), _u878)) )).
% 12.21/12.44 cnf(matrix-1291, plain, ( ~class_Orderings_Oord(_u881) | ( _u882 != _u883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u881), _u883), _u884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u881), _u882), _u884)) )).
% 12.21/12.44 cnf(matrix-1292, plain, ( ~hBOOL(hAPP(_u886, _u888)) | hBOOL(hAPP(_u887, _u888)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u885, tc_HOL_Obool)), _u886), _u887)) )).
% 12.21/12.44 cnf(matrix-1293, plain, ( ~class_Orderings_Oorder(_u889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u889), _u890), _u891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u889), _u891), _u890)) | ( _u891 = _u890) )).
% 12.21/12.44 cnf(matrix-1294, plain, ( ~class_Orderings_Oorder(_u889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u889), _u890), _u891)) | ( _u891 != _u890) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u889), _u891), _u890)) )).
% 12.21/12.44 cnf(matrix-1295, plain, ( ~class_Orderings_Oord(_u892) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u893, _u892)), _u894), _u895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u892), hAPP(_u894, _u896)), hAPP(_u895, _u896))) )).
% 12.21/12.44 cnf(matrix-1296, plain, ( ~class_Orderings_Opreorder(_u897) | ( _u898 != _u899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u897), _u898), _u899)) )).
% 12.21/12.44 cnf(matrix-1297, plain, ( ~hBOOL(hAPP(_u900, _u901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u902, tc_HOL_Obool)), _u900), _u903)) | hBOOL(hAPP(_u903, _u901)) )).
% 12.21/12.44 cnf(matrix-1298, plain, ( ~class_Orderings_Oorder(_u904) | ( _u905 != _u906) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u904), _u905), _u906)) )).
% 12.21/12.44 cnf(matrix-1299, plain, ( ~class_Orderings_Oorder(_u904) | ( _u905 != _u906) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u904), _u906), _u905)) )).
% 12.21/12.44 cnf(matrix-1300, plain, ( ~class_Orderings_Oorder(_u904) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u904), _u905), _u906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u904), _u906), _u905)) | ( _u905 = _u906) )).
% 12.21/12.44 cnf(matrix-1301, plain, ( ~class_Orderings_Olinorder(_u907) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u907), _u908), _u909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u907), _u909), _u908)) )).
% 12.21/12.44 cnf(matrix-1302, plain, ( ~class_Orderings_Oord(_u912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u913, _u912)), _u914), _u915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u912), hAPP(_u914, _u910)), hAPP(_u915, _u910))) )).
% 12.21/12.44 cnf(matrix-1303, plain, ( ~class_Orderings_Oord(_u912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u912), hAPP(_u914, skolem19(_u915, _u914, _u913, _u912))), hAPP(_u915, skolem19(_u915, _u914, _u913, _u912)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u913, _u912)), _u914), _u915)) )).
% 12.21/12.44 cnf(matrix-1304, plain, ( ~class_Groups_Ocomm__monoid__add(_u916) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u917, _u916), hAPP(hAPP(c_COMBC(_u917, tc_fun(_u918, tc_HOL_Obool), _u916), hAPP(hAPP(c_COMBB(tc_fun(_u918, _u916), tc_fun(tc_fun(_u918, tc_HOL_Obool), _u916), _u917), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u918, _u916)), _u919)), _u920)), _u921) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u918, _u916), hAPP(hAPP(c_COMBC(_u918, tc_fun(_u917, tc_HOL_Obool), _u916), hAPP(hAPP(c_COMBB(tc_fun(_u917, _u916), tc_fun(tc_fun(_u917, tc_HOL_Obool), _u916), _u918), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u917, _u916)), hAPP(c_COMBC(_u917, _u918, _u916), _u919))), _u921)), _u920)) )).
% 12.21/12.44 cnf(matrix-1305, plain, ( ( _u922 != _u923) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u924, tc_HOL_Obool)), _u922), _u923)) )).
% 12.21/12.44 cnf(matrix-1306, plain, ( ( _u922 != _u923) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u924, tc_HOL_Obool)), _u923), _u922)) )).
% 12.21/12.44 cnf(matrix-1307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u925, tc_HOL_Obool)), _u926), _u927)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u925, tc_HOL_Obool)), _u927), _u928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u925, tc_HOL_Obool)), _u926), _u928)) )).
% 12.21/12.44 cnf(matrix-1308, plain, ( ( _u929 != _u930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u931, tc_HOL_Obool)), _u930), _u929)) )).
% 12.21/12.44 cnf(matrix-1309, plain, ( ( _u932 != _u933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u934, tc_HOL_Obool)), _u932), _u933)) )).
% 12.21/12.44 cnf(matrix-1310, plain, ( ( _u938 != _u940) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u942, tc_HOL_Obool)), _u938), _u940)) )).
% 12.21/12.44 cnf(matrix-1311, plain, ( ( _u938 != _u940) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u942, tc_HOL_Obool)), _u940), _u938)) )).
% 12.21/12.44 cnf(matrix-1312, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u943, tc_HOL_Obool)), _u939), _u941)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u943, tc_HOL_Obool)), _u941), _u939)) | ( _u939 = _u941) )).
% 12.21/12.44 cnf(matrix-1313, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u944, tc_HOL_Obool)), _u945), _u945)) )).
% 12.21/12.44 cnf(matrix-1314, plain, ( ~c_Fun_Oinj__on(_u946, _u947, _u948, _u949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u946, tc_HOL_Obool)), _u950), _u949)) | c_Fun_Oinj__on(_u946, _u947, _u948, _u950) )).
% 12.21/12.44 cnf(matrix-1315, plain, ( ~c_Fun_Oinj__on(_u959, _u961, _u963, _u965) | ~hBOOL(hAPP(hAPP(c_member(_u959), _u952), _u965)) | ~hBOOL(hAPP(hAPP(c_member(_u959), _u951), _u965)) | ( hAPP(_u963, _u952) != hAPP(_u963, _u951)) | ( _u952 = _u951) )).
% 12.21/12.44 cnf(matrix-1316, plain, ( c_Fun_Oinj__on(_u960, _u962, _u964, _u966) | hBOOL(hAPP(hAPP(c_member(_u960), skolem20(_u966, _u964, _u962, _u960)), _u966)) )).
% 12.21/12.44 cnf(matrix-1317, plain, ( c_Fun_Oinj__on(_u960, _u962, _u964, _u966) | hBOOL(hAPP(hAPP(c_member(_u960), skolem21(_u966, _u964, _u962, _u960)), _u966)) )).
% 12.21/12.44 cnf(matrix-1318, plain, ( c_Fun_Oinj__on(_u960, _u962, _u964, _u966) | ( hAPP(_u964, skolem20(_u966, _u964, _u962, _u960)) = hAPP(_u964, skolem21(_u966, _u964, _u962, _u960))) )).
% 12.21/12.44 cnf(matrix-1319, plain, ( c_Fun_Oinj__on(_u960, _u962, _u964, _u966) | ( skolem20(_u966, _u964, _u962, _u960) != skolem21(_u966, _u964, _u962, _u960)) )).
% 12.21/12.44 cnf(matrix-1320, plain, ( c_Fun_Oinj__on(_u967, _u967, c_COMBI(_u967), _u968) )).
% 12.21/12.44 cnf(matrix-1321, plain, ( ~c_Fun_Oinj__on(_u969, _u970, _u971, _u972) | ( hAPP(_u971, _u973) != _u974) | ~hBOOL(hAPP(hAPP(c_member(_u969), _u973), _u972)) | ( hAPP(c_Fun_Othe__inv__into(_u969, _u970, _u972, _u971), _u974) = _u973) )).
% 12.21/12.44 cnf(matrix-1322, plain, ( ~c_Fun_Oinj__on(_u975, _u976, _u977, _u978) | ~hBOOL(hAPP(hAPP(c_member(_u975), _u979), _u978)) | ( hAPP(c_Fun_Othe__inv__into(_u975, _u976, _u978, _u977), hAPP(_u977, _u979)) = _u979) )).
% 12.21/12.44 cnf(matrix-1323, plain, ( ~c_Fun_Oinj__on(_u980, _u981, _u982, _u983) | ( hAPP(c_Set_Oimage(_u981, _u980, c_Fun_Othe__inv__into(_u980, _u981, _u983, _u982)), hAPP(c_Set_Oimage(_u980, _u981, _u982), _u983)) = _u983) )).
% 12.21/12.44 cnf(matrix-1324, plain, ( ~c_Fun_Oinj__on(_u984, _u985, _u986, _u987) | c_Fun_Oinj__on(_u985, _u984, c_Fun_Othe__inv__into(_u984, _u985, _u987, _u986), hAPP(c_Set_Oimage(_u984, _u985, _u986), _u987)) )).
% 12.21/12.44 cnf(matrix-1325, plain, ( ~c_Fun_Oinj__on(_u988, _u989, _u990, _u991) | ~hBOOL(hAPP(hAPP(c_member(_u989), _u992), hAPP(c_Set_Oimage(_u988, _u989, _u990), _u991))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u988, tc_HOL_Obool)), _u991), _u993)) | hBOOL(hAPP(hAPP(c_member(_u988), hAPP(c_Fun_Othe__inv__into(_u988, _u989, _u991, _u990), _u992)), _u993)) )).
% 12.21/12.44 cnf(matrix-1326, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u994), _u995)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u994, tc_HOL_Obool)), _u995), _u996)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u994, tc_Nat_Onat), _u997), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u994, tc_HOL_Obool)), _u996), _u995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u994, tc_Nat_Onat), _u997), _u996)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u994, tc_Nat_Onat), _u997), _u995))) )).
% 12.21/12.44 cnf(matrix-1327, plain, ( ~class_Groups_Oab__group__add(_u998) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u999, _u998), hAPP(hAPP(c_COMBS(_u999, _u998, _u998), hAPP(hAPP(c_COMBB(_u998, tc_fun(_u998, _u998), _u999), c_Groups_Ominus__class_Ominus(_u998)), _u1000)), _u1001)), _u1002) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u998), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u999, _u998), _u1000), _u1002)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u999, _u998), _u1001), _u1002))) )).
% 12.21/12.44 cnf(matrix-1328, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u1003, _u1004, _u1005), _u1006), _u1007) = c_HOL_OThe(_u1004, c_Finite__Set_Ofold__graph(_u1003, _u1004, _u1005, _u1006, _u1007))) )).
% 12.21/12.44 cnf(matrix-1329, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1008), _u1009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1008, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1008, _u1008, _u1010), _u1009)), _u1009)) | ~c_Fun_Oinj__on(_u1008, _u1008, _u1010, _u1009) | ( hAPP(c_Set_Oimage(_u1008, _u1008, _u1010), _u1009) = _u1009) )).
% 12.21/12.44 cnf(matrix-1330, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1011), _u1012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1011, tc_HOL_Obool)), _u1012), hAPP(c_Set_Oimage(_u1011, _u1011, _u1013), _u1012))) | c_Fun_Oinj__on(_u1011, _u1011, _u1013, _u1012) )).
% 12.21/12.44 cnf(matrix-1331, plain, ( ~c_Fun_Oinj__on(_u1014, _u1015, _u1016, _u1017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1014, tc_HOL_Obool)), _u1018), _u1017)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1014, tc_HOL_Obool)), _u1019), _u1017)) | ( hAPP(c_Set_Oimage(_u1014, _u1015, _u1016), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1014, tc_HOL_Obool)), _u1018), _u1019)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1015, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1014, _u1015, _u1016), _u1018)), hAPP(c_Set_Oimage(_u1014, _u1015, _u1016), _u1019))) )).
% 12.21/12.44 cnf(matrix-1332, plain, ( ~c_Fun_Oinj__on(_u1020, _u1021, _u1022, _u1023) | ( hAPP(_u1022, _u1024) != hAPP(_u1022, _u1025)) | ~hBOOL(hAPP(hAPP(c_member(_u1020), _u1024), _u1023)) | ~hBOOL(hAPP(hAPP(c_member(_u1020), _u1025), _u1023)) | ( _u1024 = _u1025) )).
% 12.21/12.44 cnf(matrix-1333, plain, ( ~c_Fun_Oinj__on(_u1026, _u1027, _u1028, _u1029) | ~hBOOL(hAPP(hAPP(c_member(_u1026), _u1030), _u1029)) | ~hBOOL(hAPP(hAPP(c_member(_u1026), _u1031), _u1029)) | ( hAPP(_u1028, _u1030) != hAPP(_u1028, _u1031)) | ( _u1030 = _u1031) )).
% 12.21/12.44 cnf(matrix-1334, plain, ( ~c_Fun_Oinj__on(_u1026, _u1027, _u1028, _u1029) | ~hBOOL(hAPP(hAPP(c_member(_u1026), _u1030), _u1029)) | ~hBOOL(hAPP(hAPP(c_member(_u1026), _u1031), _u1029)) | ( _u1030 != _u1031) | ( hAPP(_u1028, _u1030) = hAPP(_u1028, _u1031)) )).
% 12.21/12.44 cnf(matrix-1335, plain, ( ~c_Fun_Oinj__on(_u1032, _u1033, _u1034, _u1035) | ( _u1036 = _u1037) | ~hBOOL(hAPP(hAPP(c_member(_u1032), _u1036), _u1035)) | ~hBOOL(hAPP(hAPP(c_member(_u1032), _u1037), _u1035)) | ( hAPP(_u1034, _u1036) != hAPP(_u1034, _u1037)) )).
% 12.21/12.44 cnf(matrix-1336, plain, ( ~c_Fun_Oinj__on(_u1038, _u1039, _u1040, _u1041) | c_Fun_Oinj__on(_u1038, _u1039, _u1040, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1038, tc_HOL_Obool)), _u1041), _u1042)) )).
% 12.21/12.44 cnf(matrix-1337, plain, ( ~class_Groups_Oab__group__add(_u1043) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1044), _u1045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1044, tc_HOL_Obool)), _u1046), _u1045)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1044, _u1043), _u1047), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1044, tc_HOL_Obool)), _u1045), _u1046)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1043), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1044, _u1043), _u1047), _u1045)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1044, _u1043), _u1047), _u1046))) )).
% 12.21/12.44 cnf(matrix-1338, plain, ( c_Nitpick_Ofold__graph_H(_u1048, _u1049, _u1050, _u1051, c_Orderings_Obot__class_Obot(tc_fun(_u1048, tc_HOL_Obool)), _u1051) )).
% 12.21/12.44 cnf(matrix-1339, plain, ( c_Nitpick_Ofold__graph_H(_u1052, _u1053, _u1054, _u1055, c_Orderings_Obot__class_Obot(tc_fun(_u1052, tc_HOL_Obool)), _u1055) )).
% 12.21/12.44 cnf(matrix-1340, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u1056, _u1057, _u1058), _u1059), c_Orderings_Obot__class_Obot(tc_fun(_u1056, tc_HOL_Obool))) = _u1059) )).
% 12.21/12.44 cnf(matrix-1341, plain, ( ~c_Fun_Oinj__on(_u1060, _u1061, _u1062, _u1063) | ~hBOOL(hAPP(hAPP(c_member(_u1061), _u1064), hAPP(c_Set_Oimage(_u1060, _u1061, _u1062), _u1063))) | ( hAPP(_u1062, hAPP(c_Fun_Othe__inv__into(_u1060, _u1061, _u1063, _u1062), _u1064)) = _u1064) )).
% 12.21/12.44 cnf(matrix-1342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1065, tc_HOL_Obool)), _u1066), _u1067)) | ~hBOOL(hAPP(hAPP(c_member(_u1065), _u1068), _u1066)) | hBOOL(hAPP(hAPP(c_member(_u1065), _u1068), _u1067)) )).
% 12.21/12.44 cnf(matrix-1343, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1069), _u1070), _u1071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1069, tc_HOL_Obool)), _u1071), _u1072)) | hBOOL(hAPP(hAPP(c_member(_u1069), _u1070), _u1072)) )).
% 12.21/12.44 cnf(matrix-1344, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1073, tc_HOL_Obool)), _u1074), _u1075)) | ~hBOOL(hAPP(hAPP(c_member(_u1073), _u1076), _u1074)) | hBOOL(hAPP(hAPP(c_member(_u1073), _u1076), _u1075)) )).
% 12.21/12.44 cnf(matrix-1345, plain, ( ~class_Orderings_Obot(_u1077) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1077), c_Orderings_Obot__class_Obot(_u1077)), _u1078)) )).
% 12.21/12.44 cnf(matrix-1346, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1081, tc_HOL_Obool)), _u1083), c_Orderings_Obot__class_Obot(tc_fun(_u1081, tc_HOL_Obool)))) | ( _u1083 = c_Orderings_Obot__class_Obot(tc_fun(_u1081, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1347, plain, ( ( _u1084 != c_Orderings_Obot__class_Obot(tc_fun(_u1082, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1082, tc_HOL_Obool)), _u1084), c_Orderings_Obot__class_Obot(tc_fun(_u1082, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1085, tc_HOL_Obool)), _u1086), _u1087)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), _u1087)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), _u1086)) )).
% 12.21/12.44 cnf(matrix-1349, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1088), _u1089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1088, tc_HOL_Obool)), _u1090), _u1089)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1088), _u1090)) )).
% 12.21/12.44 cnf(matrix-1350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1091, tc_HOL_Obool)), _u1092), _u1093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1091, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1091), _u1094), _u1092)), hAPP(hAPP(c_Set_Oinsert(_u1091), _u1094), _u1093))) )).
% 12.21/12.44 cnf(matrix-1351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1095, tc_HOL_Obool)), _u1096), _u1097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1095, tc_HOL_Obool)), _u1096), hAPP(hAPP(c_Set_Oinsert(_u1095), _u1098), _u1097))) )).
% 12.21/12.44 cnf(matrix-1352, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1099, tc_HOL_Obool)), _u1100), hAPP(hAPP(c_Set_Oinsert(_u1099), _u1101), _u1100))) )).
% 12.21/12.44 cnf(matrix-1353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1102, tc_HOL_Obool)), _u1103), _u1104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1105, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1102, _u1105, _u1106), _u1103)), hAPP(c_Set_Oimage(_u1102, _u1105, _u1106), _u1104))) )).
% 12.21/12.44 cnf(matrix-1354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1114, tc_HOL_Obool)), _u1116), hAPP(c_Set_Oimage(_u1118, _u1114, _u1120), _u1122))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1118, tc_HOL_Obool)), skolem22(_u1122, _u1120, _u1118, _u1116, _u1114)), _u1122)) )).
% 12.21/12.44 cnf(matrix-1355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1114, tc_HOL_Obool)), _u1116), hAPP(c_Set_Oimage(_u1118, _u1114, _u1120), _u1122))) | ( _u1116 = hAPP(c_Set_Oimage(_u1118, _u1114, _u1120), skolem22(_u1122, _u1120, _u1118, _u1116, _u1114))) )).
% 12.21/12.44 cnf(matrix-1356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1119, tc_HOL_Obool)), _u1108), _u1123)) | ( _u1117 != hAPP(c_Set_Oimage(_u1119, _u1115, _u1121), _u1108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1115, tc_HOL_Obool)), _u1117), hAPP(c_Set_Oimage(_u1119, _u1115, _u1121), _u1123))) )).
% 12.21/12.44 cnf(matrix-1357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1124, tc_HOL_Obool)), _u1125), _u1126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1124, tc_HOL_Obool)), _u1126), _u1127)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1124, tc_HOL_Obool)), _u1126), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1124, tc_HOL_Obool)), _u1127), _u1125)) = _u1125) )).
% 12.21/12.44 cnf(matrix-1358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1128, tc_HOL_Obool)), _u1129), _u1130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1128, tc_HOL_Obool)), _u1131), _u1132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1128, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1128, tc_HOL_Obool)), _u1129), _u1132)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1128, tc_HOL_Obool)), _u1130), _u1131))) )).
% 12.21/12.44 cnf(matrix-1359, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1133, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1133, tc_HOL_Obool)), _u1134), _u1135)), _u1134)) )).
% 12.21/12.44 cnf(matrix-1360, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u1136, _u1137, _u1138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1136), tc_HOL_Obool)), _u1137), _u1139)) | c_Hoare__Mirabelle_Ohoare__derivs(_u1136, _u1139, _u1138) )).
% 12.21/12.44 cnf(matrix-1361, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u1140, _u1141, _u1142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1140), tc_HOL_Obool)), _u1143), _u1142)) | c_Hoare__Mirabelle_Ohoare__derivs(_u1140, _u1141, _u1143) )).
% 12.21/12.44 cnf(matrix-1362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1144), tc_HOL_Obool)), _u1145), _u1146)) | c_Hoare__Mirabelle_Ohoare__derivs(_u1144, _u1146, _u1145) )).
% 12.21/12.44 cnf(matrix-1363, plain, ( ( _u1151 = _u1150) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1147, _u1148, _u1149, _u1150, c_Orderings_Obot__class_Obot(tc_fun(_u1147, tc_HOL_Obool))), _u1151)) )).
% 12.21/12.44 cnf(matrix-1364, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1152, _u1153, _u1154, _u1155, c_Orderings_Obot__class_Obot(tc_fun(_u1152, tc_HOL_Obool))), _u1155)) )).
% 12.21/12.44 cnf(matrix-1365, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1156, _u1157, _u1158, _u1159, c_Orderings_Obot__class_Obot(tc_fun(_u1156, tc_HOL_Obool))), _u1159)) )).
% 12.21/12.44 cnf(matrix-1366, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1160, _u1161, _u1162, _u1163, _u1164), _u1165)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1160), _u1164)) )).
% 12.21/12.44 cnf(matrix-1367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1169, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1169, tc_fun(_u1169, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1169)), _u1171)), hAPP(hAPP(c_COMBC(_u1169, tc_fun(_u1169, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1169)), _u1173))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1169, tc_HOL_Obool)), _u1171), _u1173)) )).
% 12.21/12.44 cnf(matrix-1368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1170, tc_HOL_Obool)), _u1172), _u1174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1170, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1170, tc_fun(_u1170, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1170)), _u1172)), hAPP(hAPP(c_COMBC(_u1170, tc_fun(_u1170, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1170)), _u1174))) )).
% 12.21/12.44 cnf(matrix-1369, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1175), hAPP(c_Set_Oimage(_u1176, _u1175, _u1177), _u1178))) | ~c_Fun_Oinj__on(_u1176, _u1175, _u1177, _u1178) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1176), _u1178)) )).
% 12.21/12.44 cnf(matrix-1370, plain, ( hBOOL(hAPP(hAPP(c_member(_u1179), _u1180), _u1181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1179, tc_HOL_Obool)), _u1181), hAPP(hAPP(c_Set_Oinsert(_u1179), _u1180), _u1182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1179, tc_HOL_Obool)), _u1181), _u1182)) )).
% 12.21/12.44 cnf(matrix-1371, plain, ( hBOOL(hAPP(hAPP(c_member(_u1179), _u1180), _u1181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1179, tc_HOL_Obool)), _u1181), _u1182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1179, tc_HOL_Obool)), _u1181), hAPP(hAPP(c_Set_Oinsert(_u1179), _u1180), _u1182))) )).
% 12.21/12.44 cnf(matrix-1372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1187, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1187), _u1189), _u1191)), _u1193)) | hBOOL(hAPP(hAPP(c_member(_u1187), _u1189), _u1193)) )).
% 12.21/12.44 cnf(matrix-1373, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1187, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1187), _u1189), _u1191)), _u1193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1187, tc_HOL_Obool)), _u1191), _u1193)) )).
% 12.21/12.44 cnf(matrix-1374, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1188), _u1190), _u1194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), _u1192), _u1194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1188), _u1190), _u1192)), _u1194)) )).
% 12.21/12.44 cnf(matrix-1375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1195, tc_HOL_Obool)), _u1196), hAPP(hAPP(c_Set_Oinsert(_u1195), _u1197), c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))))) | ( _u1196 = c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))) | ( _u1196 = hAPP(hAPP(c_Set_Oinsert(_u1195), _u1197), c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1376, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1198), _u1199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1200, tc_HOL_Obool)), _u1201), hAPP(c_Set_Oimage(_u1198, _u1200, _u1202), _u1199))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1200), _u1201)) )).
% 12.21/12.44 cnf(matrix-1377, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1203, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1203, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1204, _u1203, _u1205), _u1206)), hAPP(c_Set_Oimage(_u1204, _u1203, _u1205), _u1207))), hAPP(c_Set_Oimage(_u1204, _u1203, _u1205), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1204, tc_HOL_Obool)), _u1206), _u1207)))) )).
% 12.21/12.44 cnf(matrix-1378, plain, ( hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1210)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1208, _u1211, _u1212, _u1213, _u1210), _u1214)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1208, _u1211, _u1212, _u1213, hAPP(hAPP(c_Set_Oinsert(_u1208), _u1209), _u1210)), hAPP(hAPP(_u1212, _u1209), _u1214))) )).
% 12.21/12.44 cnf(matrix-1379, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), _u1223)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1219, tc_Nat_Onat), _u1225), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1219, tc_HOL_Obool)), _u1223), hAPP(hAPP(c_Set_Oinsert(_u1219), _u1221), c_Orderings_Obot__class_Obot(tc_fun(_u1219, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1219, tc_Nat_Onat), _u1225), _u1223)), hAPP(_u1225, _u1221))) )).
% 12.21/12.44 cnf(matrix-1380, plain, ( hBOOL(hAPP(hAPP(c_member(_u1220), _u1222), _u1224)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1220, tc_Nat_Onat), _u1226), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1220, tc_HOL_Obool)), _u1224), hAPP(hAPP(c_Set_Oinsert(_u1220), _u1222), c_Orderings_Obot__class_Obot(tc_fun(_u1220, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1220, tc_Nat_Onat), _u1226), _u1224)) )).
% 12.21/12.44 cnf(matrix-1381, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1228), _u1233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1228, tc_HOL_Obool)), _u1234), _u1233)) | ( hAPP(hAPP(_u1229, hAPP(_u1232, _u1234)), hAPP(_u1232, _u1233)) = hAPP(_u1232, _u1233)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1227, _u1228, _u1229, _u1230, _u1231, _u1232) )).
% 12.21/12.44 cnf(matrix-1382, plain, ( ~c_Fun_Oinj__on(_u1235, _u1236, _u1237, _u1238) | hBOOL(hAPP(hAPP(c_member(_u1236), _u1239), hAPP(c_Set_Oimage(_u1235, _u1236, _u1237), _u1238))) | c_Fun_Oinj__on(_u1235, _u1236, c_Fun_Ofun__upd(_u1235, _u1236, _u1237, _u1240, _u1239), _u1238) )).
% 12.21/12.44 cnf(matrix-1383, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), _u1243)) | ( hAPP(c_Fun_Ooverride__on(_u1241, _u1244, _u1245, _u1246, _u1243), _u1242) = hAPP(_u1246, _u1242)) )).
% 12.21/12.44 cnf(matrix-1384, plain, ( hBOOL(hAPP(hAPP(c_member(_u1247), _u1248), _u1249)) | ( hAPP(c_Fun_Ooverride__on(_u1247, _u1250, _u1251, _u1252, _u1249), _u1248) = hAPP(_u1251, _u1248)) )).
% 12.21/12.44 cnf(matrix-1385, plain, ( ( c_Fun_Ooverride__on(_u1253, _u1254, _u1255, _u1256, c_Orderings_Obot__class_Obot(tc_fun(_u1253, tc_HOL_Obool))) = _u1255) )).
% 12.21/12.44 cnf(matrix-1386, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u1257, _u1258, _u1259) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1257), _u1260)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1257, _u1258, _u1259), _u1261), hAPP(hAPP(c_Set_Oinsert(_u1257), _u1262), _u1260)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1257, _u1258, _u1259), hAPP(hAPP(_u1259, _u1262), _u1261)), _u1260)) )).
% 12.21/12.44 cnf(matrix-1387, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u1263, _u1264, _u1265) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1263), _u1266)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1263, _u1264, _u1265), _u1267), hAPP(hAPP(c_Set_Oinsert(_u1263), _u1268), _u1266)) = hAPP(hAPP(_u1265, _u1268), hAPP(hAPP(c_Finite__Set_Ofold(_u1263, _u1264, _u1265), _u1267), _u1266))) )).
% 12.21/12.44 cnf(matrix-1388, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1269, _u1270, _u1271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1269), _u1272)) | ( hAPP(_u1271, hAPP(hAPP(c_Set_Oinsert(_u1269), _u1273), _u1272)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1269, _u1269, _u1270), _u1273), _u1272)) )).
% 12.21/12.44 cnf(matrix-1389, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1274, _u1275, _u1276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1274), _u1277)) | ( _u1278 = c_Orderings_Obot__class_Obot(tc_fun(_u1274, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1274, tc_HOL_Obool)), _u1278), _u1277)) | ( hAPP(hAPP(_u1275, hAPP(_u1276, _u1278)), hAPP(_u1276, _u1277)) = hAPP(_u1276, _u1277)) )).
% 12.21/12.44 cnf(matrix-1390, plain, ( ( _u1283 = c_Orderings_Obot__class_Obot(tc_fun(_u1284, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u1284, _u1285, _u1279, _u1283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1285, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1284, _u1285, _u1279), _u1283)), _u1286)) | ( hAPP(c_Set_Oimage(_u1285, _u1284, skolem23(_u1286, _u1285, _u1284, _u1283)), _u1286) = _u1283) )).
% 12.21/12.44 cnf(matrix-1391, plain, ( ( _u1283 = c_Orderings_Obot__class_Obot(tc_fun(_u1284, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1285, _u1284, _u1281), _u1286) != _u1283) | c_Fun_Oinj__on(_u1284, _u1285, skolem24(_u1286, _u1285, _u1284, _u1283), _u1283) )).
% 12.21/12.44 cnf(matrix-1392, plain, ( ( _u1283 = c_Orderings_Obot__class_Obot(tc_fun(_u1284, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1285, _u1284, _u1281), _u1286) != _u1283) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1285, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1284, _u1285, skolem24(_u1286, _u1285, _u1284, _u1283)), _u1283)), _u1286)) )).
% 12.21/12.44 cnf(matrix-1393, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1287, _u1288, _u1289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1287), _u1290)) | ~hBOOL(hAPP(hAPP(c_member(_u1287), _u1291), _u1290)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1287, _u1288, _u1289), _u1292), _u1290) = hAPP(hAPP(_u1289, _u1291), hAPP(hAPP(c_Finite__Set_Ofold(_u1287, _u1288, _u1289), _u1292), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1287, tc_HOL_Obool)), _u1290), hAPP(hAPP(c_Set_Oinsert(_u1287), _u1291), c_Orderings_Obot__class_Obot(tc_fun(_u1287, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1394, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1293, _u1293, _u1294, _u1295, _u1296), _u1297)) | hBOOL(hAPP(hAPP(c_member(_u1293), _u1295), _u1296)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1293, _u1294, hAPP(hAPP(c_Set_Oinsert(_u1293), _u1295), _u1296)), _u1297)) )).
% 12.21/12.44 cnf(matrix-1395, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1301, tc_HOL_Obool)), _u1303), hAPP(hAPP(c_Set_Oinsert(_u1301), _u1305), c_Orderings_Obot__class_Obot(tc_fun(_u1301, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1301, _u1305, _u1303) = _u1305) )).
% 12.21/12.44 cnf(matrix-1396, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1302, tc_HOL_Obool)), _u1304), hAPP(hAPP(c_Set_Oinsert(_u1302), _u1306), c_Orderings_Obot__class_Obot(tc_fun(_u1302, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1302, _u1306, _u1304) = c_HOL_OThe(_u1302, hAPP(hAPP(c_COMBC(_u1302, tc_fun(_u1302, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1302)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1302, tc_HOL_Obool)), _u1304), hAPP(hAPP(c_Set_Oinsert(_u1302), _u1306), c_Orderings_Obot__class_Obot(tc_fun(_u1302, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1397, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1307, _u1308, _u1309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1307), _u1310)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1307, _u1308, _u1309), _u1311), hAPP(hAPP(c_Set_Oinsert(_u1307), _u1312), _u1310)) = hAPP(hAPP(_u1309, _u1312), hAPP(hAPP(c_Finite__Set_Ofold(_u1307, _u1308, _u1309), _u1311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1307, tc_HOL_Obool)), _u1310), hAPP(hAPP(c_Set_Oinsert(_u1307), _u1312), c_Orderings_Obot__class_Obot(tc_fun(_u1307, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1398, plain, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( _u1332 = c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1324), skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), _u1332)) )).
% 12.21/12.44 cnf(matrix-1399, plain, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( _u1332 = c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool))) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = hAPP(hAPP(_u1328, skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), skolem26(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324))) )).
% 12.21/12.44 cnf(matrix-1400, plain, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( _u1332 = c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1324, tc_HOL_Obool)), _u1332), hAPP(hAPP(c_Set_Oinsert(_u1324), skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool)))), skolem26(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)) )).
% 12.21/12.44 cnf(matrix-1401, plain, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = _u1330) | hBOOL(hAPP(hAPP(c_member(_u1324), skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), _u1332)) )).
% 12.21/12.44 cnf(matrix-1402, plain, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = _u1330) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = hAPP(hAPP(_u1328, skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), skolem26(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324))) )).
% 12.21/12.44 cnf(matrix-1403, plain, ( ~c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, _u1332, hAPP(hAPP(_u1328, _u1334), _u1336)) | ( hAPP(hAPP(_u1328, _u1334), _u1336) = _u1330) | c_Nitpick_Ofold__graph_H(_u1324, _u1326, _u1328, _u1330, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1324, tc_HOL_Obool)), _u1332), hAPP(hAPP(c_Set_Oinsert(_u1324), skolem25(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)), c_Orderings_Obot__class_Obot(tc_fun(_u1324, tc_HOL_Obool)))), skolem26(_u1336, _u1334, _u1332, _u1330, _u1328, _u1326, _u1324)) )).
% 12.21/12.44 cnf(matrix-1404, plain, ( c_Nitpick_Ofold__graph_H(_u1325, _u1327, _u1329, _u1331, _u1333, hAPP(hAPP(_u1329, _u1335), _u1337)) | ( _u1333 != c_Orderings_Obot__class_Obot(tc_fun(_u1325, tc_HOL_Obool))) | ( hAPP(hAPP(_u1329, _u1335), _u1337) != _u1331) )).
% 12.21/12.44 cnf(matrix-1405, plain, ( c_Nitpick_Ofold__graph_H(_u1325, _u1327, _u1329, _u1331, _u1333, hAPP(hAPP(_u1329, _u1335), _u1337)) | ~hBOOL(hAPP(hAPP(c_member(_u1325), _u1316), _u1333)) | ( hAPP(hAPP(_u1329, _u1335), _u1337) != hAPP(hAPP(_u1329, _u1316), _u1315)) | ~c_Nitpick_Ofold__graph_H(_u1325, _u1327, _u1329, _u1331, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1325, tc_HOL_Obool)), _u1333), hAPP(hAPP(c_Set_Oinsert(_u1325), _u1316), c_Orderings_Obot__class_Obot(tc_fun(_u1325, tc_HOL_Obool)))), _u1315) )).
% 12.21/12.44 cnf(matrix-1406, plain, ( ~class_Groups_Oordered__ab__group__add(_u1338) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1338), _u1339), _u1340) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1338), _u1341), _u1342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1338), _u1339), _u1340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1338), _u1341), _u1342)) )).
% 12.21/12.44 cnf(matrix-1407, plain, ( ~class_Groups_Oordered__ab__group__add(_u1338) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1338), _u1339), _u1340) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1338), _u1341), _u1342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1338), _u1341), _u1342)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1338), _u1339), _u1340)) )).
% 12.21/12.44 cnf(matrix-1408, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1343, _u1344, _u1345) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1343), _u1346)) | hBOOL(hAPP(hAPP(c_member(_u1343), _u1347), _u1346)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1343, _u1344, _u1345), _u1348), hAPP(hAPP(c_Set_Oinsert(_u1343), _u1347), _u1346)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1343, _u1344, _u1345), hAPP(hAPP(_u1345, _u1347), _u1348)), _u1346)) )).
% 12.21/12.44 cnf(matrix-1409, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1349, _u1350, _u1351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1349), _u1352)) | hBOOL(hAPP(hAPP(c_member(_u1349), _u1353), _u1352)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1349, _u1350, _u1351), _u1354), hAPP(hAPP(c_Set_Oinsert(_u1349), _u1353), _u1352)) = hAPP(hAPP(_u1351, _u1353), hAPP(hAPP(c_Finite__Set_Ofold(_u1349, _u1350, _u1351), _u1354), _u1352))) )).
% 12.21/12.44 cnf(matrix-1410, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), skolem28(_u1360, _u1359, _u1358, _u1357))) )).
% 12.21/12.44 cnf(matrix-1411, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | hBOOL(hAPP(hAPP(c_member(_u1357), skolem27(_u1360, _u1359, _u1358, _u1357)), _u1359)) )).
% 12.21/12.44 cnf(matrix-1412, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | ~hBOOL(hAPP(hAPP(c_member(_u1357), skolem27(_u1360, _u1359, _u1358, _u1357)), skolem28(_u1360, _u1359, _u1358, _u1357))) )).
% 12.21/12.44 cnf(matrix-1413, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | hBOOL(hAPP(_u1360, skolem28(_u1360, _u1359, _u1358, _u1357))) )).
% 12.21/12.44 cnf(matrix-1414, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1357), _u1358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1357, tc_HOL_Obool)), _u1358), _u1359)) | ~hBOOL(hAPP(_u1360, c_Orderings_Obot__class_Obot(tc_fun(_u1357, tc_HOL_Obool)))) | hBOOL(hAPP(_u1360, _u1358)) | ~hBOOL(hAPP(_u1360, hAPP(hAPP(c_Set_Oinsert(_u1357), skolem27(_u1360, _u1359, _u1358, _u1357)), skolem28(_u1360, _u1359, _u1358, _u1357)))) )).
% 12.21/12.44 cnf(matrix-1415, plain, ( ~class_Groups_Ocomm__monoid__add(_u1361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1362), _u1363)) | ~hBOOL(hAPP(hAPP(c_member(_u1362), _u1364), _u1363)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1362, _u1361), _u1365), _u1363) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1361), hAPP(_u1365, _u1364)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1362, _u1361), _u1365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1362, tc_HOL_Obool)), _u1363), hAPP(hAPP(c_Set_Oinsert(_u1362), _u1364), c_Orderings_Obot__class_Obot(tc_fun(_u1362, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1416, plain, ( ( hAPP(hAPP(_u1368, _u1369), hAPP(hAPP(_u1368, _u1370), _u1371)) = hAPP(hAPP(_u1368, _u1370), hAPP(hAPP(_u1368, _u1369), _u1371))) | ~c_Finite__Set_Ofun__left__comm(_u1366, _u1367, _u1368) )).
% 12.21/12.44 cnf(matrix-1417, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1372) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1372), _u1373), _u1374) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1372), _u1375), _u1374)) | ( _u1373 = _u1375) )).
% 12.21/12.44 cnf(matrix-1418, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1376) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1376), _u1377), _u1378) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1376), _u1377), _u1379)) | ( _u1378 = _u1379) )).
% 12.21/12.44 cnf(matrix-1419, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1380) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1380), _u1381), _u1382) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1380), _u1381), _u1383)) | ( _u1382 = _u1383) )).
% 12.21/12.44 cnf(matrix-1420, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1384) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1384), _u1385), _u1386) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1384), _u1387), _u1386)) | ( _u1385 = _u1387) )).
% 12.21/12.44 cnf(matrix-1421, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1384) | ( _u1385 != _u1387) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1384), _u1385), _u1386) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1384), _u1387), _u1386)) )).
% 12.21/12.44 cnf(matrix-1422, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1388) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1390) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1391)) | ( _u1390 = _u1391) )).
% 12.21/12.44 cnf(matrix-1423, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1388) | ( _u1390 != _u1391) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1390) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1388), _u1389), _u1391)) )).
% 12.21/12.44 cnf(matrix-1424, plain, ( ~class_Groups_Oab__semigroup__add(_u1392) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), _u1394)), _u1395) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1393), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1392), _u1394), _u1395))) )).
% 12.21/12.44 cnf(matrix-1425, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1396), _u1397), _u1398)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1396), _u1397), _u1399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1396), _u1398), _u1399)) )).
% 12.21/12.44 cnf(matrix-1426, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1400), _u1401), _u1402)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1400), _u1403), _u1402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1400), _u1401), _u1403)) )).
% 12.21/12.44 cnf(matrix-1427, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1404), _u1405), _u1406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1404), _u1407), _u1408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1404), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1404), _u1405), _u1407)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1404), _u1406), _u1408))) )).
% 12.21/12.44 cnf(matrix-1428, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1409), _u1410), _u1411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1409), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1409), _u1412), _u1410)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1409), _u1412), _u1411))) )).
% 12.21/12.44 cnf(matrix-1429, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1413), _u1414), _u1415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1413), _u1414), _u1416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1413), _u1415), _u1416))) )).
% 12.21/12.44 cnf(matrix-1430, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1420))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1417), _u1419), _u1420)) )).
% 12.21/12.44 cnf(matrix-1431, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1417), _u1419), _u1420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1420))) )).
% 12.21/12.44 cnf(matrix-1432, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1424), _u1423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1421), _u1422), _u1424)) )).
% 12.21/12.44 cnf(matrix-1433, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1421), _u1422), _u1424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1424), _u1423))) )).
% 12.21/12.44 cnf(matrix-1434, plain, ( ~class_Groups_Ogroup__add(_u1425) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1425), _u1426), _u1427)), _u1427) = _u1426) )).
% 12.21/12.44 cnf(matrix-1435, plain, ( ~class_Groups_Ogroup__add(_u1428) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1428), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1428), _u1429), _u1430)), _u1430) = _u1429) )).
% 12.21/12.44 cnf(matrix-1436, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1431, _u1432, _u1433) | c_Finite__Set_Ofun__left__comm(_u1434, _u1432, hAPP(hAPP(c_COMBB(_u1431, tc_fun(_u1432, _u1432), _u1434), _u1433), _u1435)) )).
% 12.21/12.44 cnf(matrix-1437, plain, ( ~class_Groups_Ocomm__monoid__add(_u1436) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1437, _u1436), hAPP(hAPP(c_COMBS(_u1437, _u1436, _u1436), hAPP(hAPP(c_COMBB(_u1436, tc_fun(_u1436, _u1436), _u1437), c_Groups_Oplus__class_Oplus(_u1436)), _u1438)), _u1439)), _u1440) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1436), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1437, _u1436), _u1438), _u1440)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1437, _u1436), _u1439), _u1440))) )).
% 12.21/12.44 cnf(matrix-1438, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1441, _u1442, _u1443) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1441, _u1442, _u1443, _u1444, _u1445), _u1446)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1441, _u1442, _u1443, _u1444, _u1445), _u1447)) | ( _u1447 = _u1446) )).
% 12.21/12.44 cnf(matrix-1439, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1448, _u1449, c_Orderings_Obot__class_Obot(tc_fun(_u1448, tc_HOL_Obool))), _u1450)) )).
% 12.21/12.44 cnf(matrix-1440, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1451, _u1452, _u1453), _u1454)) | ( _u1453 != c_Orderings_Obot__class_Obot(tc_fun(_u1451, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1441, plain, ( ~class_Groups_Ocomm__monoid__add(_u1455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1456), _u1457)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1456, _u1455), hAPP(hAPP(c_COMBS(_u1456, _u1455, _u1455), hAPP(hAPP(c_COMBB(_u1455, tc_fun(_u1455, _u1455), _u1456), c_Groups_Oplus__class_Oplus(_u1455)), _u1458)), _u1459)), _u1457) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1455), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1456, _u1455), _u1458), _u1457)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1456, _u1455), _u1459), _u1457))) )).
% 12.21/12.44 cnf(matrix-1442, plain, ( ~class_Groups_Oab__group__add(_u1460) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1460), _u1461), _u1462) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1460), _u1463), _u1464)) | ( _u1461 != _u1462) | ( _u1463 = _u1464) )).
% 12.21/12.44 cnf(matrix-1443, plain, ( ~class_Groups_Oab__group__add(_u1460) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1460), _u1461), _u1462) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1460), _u1463), _u1464)) | ( _u1463 != _u1464) | ( _u1461 = _u1462) )).
% 12.21/12.44 cnf(matrix-1444, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1465, _u1466, _u1467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1465), _u1468)) | ( hAPP(hAPP(_u1467, _u1469), hAPP(hAPP(c_Finite__Set_Ofold(_u1465, _u1466, _u1467), _u1470), _u1468)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1465, _u1466, _u1467), hAPP(hAPP(_u1467, _u1469), _u1470)), _u1468)) )).
% 12.21/12.44 cnf(matrix-1445, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1471, _u1472, _u1473) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1471, _u1472, _u1473, _u1474, _u1475), _u1476)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1471, _u1472, _u1473), _u1474), _u1475) = _u1476) )).
% 12.21/12.44 cnf(matrix-1446, plain, ( ( _u1485 = _u1487) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1481, _u1483, hAPP(hAPP(c_Set_Oinsert(_u1481), _u1485), c_Orderings_Obot__class_Obot(tc_fun(_u1481, tc_HOL_Obool)))), _u1487)) )).
% 12.21/12.44 cnf(matrix-1447, plain, ( ( _u1486 != _u1488) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1482, _u1484, hAPP(hAPP(c_Set_Oinsert(_u1482), _u1486), c_Orderings_Obot__class_Obot(tc_fun(_u1482, tc_HOL_Obool)))), _u1488)) )).
% 12.21/12.44 cnf(matrix-1448, plain, ( ~class_Groups_Ocomm__monoid__add(_u1489) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1490), _u1491)) | hBOOL(hAPP(hAPP(c_member(_u1490), _u1492), _u1491)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1490, _u1489), _u1493), hAPP(hAPP(c_Set_Oinsert(_u1490), _u1492), _u1491)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1489), hAPP(_u1493, _u1492)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1490, _u1489), _u1493), _u1491))) )).
% 12.21/12.44 cnf(matrix-1449, plain, ( ~class_Groups_Ocomm__monoid__add(_u1494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1495), _u1496)) | hBOOL(hAPP(hAPP(c_member(_u1495), _u1497), _u1496)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1495, _u1494), _u1498), hAPP(hAPP(c_Set_Oinsert(_u1495), _u1497), _u1496)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1494), hAPP(_u1498, _u1497)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1495, _u1494), _u1498), _u1496))) )).
% 12.21/12.44 cnf(matrix-1450, plain, ( ~class_Groups_Ocomm__monoid__add(_u1499) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1500), _u1501)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1500, _u1499), _u1502), hAPP(hAPP(c_Set_Oinsert(_u1500), _u1503), _u1501)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1499), hAPP(_u1502, _u1503)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1500, _u1499), _u1502), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1500, tc_HOL_Obool)), _u1501), hAPP(hAPP(c_Set_Oinsert(_u1500), _u1503), c_Orderings_Obot__class_Obot(tc_fun(_u1500, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1451, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1504, _u1505, _u1506) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1504), _u1507)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1504, _u1505, _u1506, _u1508, _u1507), hAPP(hAPP(c_Finite__Set_Ofold(_u1504, _u1505, _u1506), _u1508), _u1507))) )).
% 12.21/12.44 cnf(matrix-1452, plain, ( ~class_Groups_Ocomm__monoid__add(_u1509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1510), _u1511)) | ~hBOOL(hAPP(hAPP(c_member(_u1510), _u1512), _u1511)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1510, _u1509), _u1513), _u1511) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1509), hAPP(_u1513, _u1512)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1510, _u1509), _u1513), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1510, tc_HOL_Obool)), _u1511), hAPP(hAPP(c_Set_Oinsert(_u1510), _u1512), c_Orderings_Obot__class_Obot(tc_fun(_u1510, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1453, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1515, _u1516, _u1517) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1515, _u1516, _u1517, _u1518, _u1519), _u1520)) | ~hBOOL(hAPP(hAPP(c_member(_u1515), _u1521), _u1519)) | ( _u1520 = hAPP(hAPP(_u1517, _u1521), skolem29(_u1521, _u1520, _u1519, _u1518, _u1517, _u1516, _u1515))) )).
% 12.21/12.44 cnf(matrix-1454, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1515, _u1516, _u1517) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1515, _u1516, _u1517, _u1518, _u1519), _u1520)) | ~hBOOL(hAPP(hAPP(c_member(_u1515), _u1521), _u1519)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1515, _u1516, _u1517, _u1518, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1515, tc_HOL_Obool)), _u1519), hAPP(hAPP(c_Set_Oinsert(_u1515), _u1521), c_Orderings_Obot__class_Obot(tc_fun(_u1515, tc_HOL_Obool))))), skolem29(_u1521, _u1520, _u1519, _u1518, _u1517, _u1516, _u1515))) )).
% 12.21/12.44 cnf(matrix-1455, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1531, _u1533, hAPP(hAPP(c_Set_Oinsert(_u1531), _u1535), _u1537)), _u1539)) | ( hAPP(hAPP(c_Set_Oinsert(_u1531), _u1535), _u1537) = hAPP(hAPP(c_Set_Oinsert(_u1531), skolem30(_u1539, _u1537, _u1535, _u1533, _u1531)), skolem31(_u1539, _u1537, _u1535, _u1533, _u1531))) )).
% 12.21/12.44 cnf(matrix-1456, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1531, _u1533, hAPP(hAPP(c_Set_Oinsert(_u1531), _u1535), _u1537)), _u1539)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1531, _u1531, _u1533, skolem30(_u1539, _u1537, _u1535, _u1533, _u1531), skolem31(_u1539, _u1537, _u1535, _u1533, _u1531)), _u1539)) )).
% 12.21/12.44 cnf(matrix-1457, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1531, _u1533, hAPP(hAPP(c_Set_Oinsert(_u1531), _u1535), _u1537)), _u1539)) | ~hBOOL(hAPP(hAPP(c_member(_u1531), skolem30(_u1539, _u1537, _u1535, _u1533, _u1531)), skolem31(_u1539, _u1537, _u1535, _u1533, _u1531))) )).
% 12.21/12.44 cnf(matrix-1458, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1532), _u1536), _u1538) != hAPP(hAPP(c_Set_Oinsert(_u1532), _u1525), _u1524)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1532, _u1532, _u1534, _u1525, _u1524), _u1540)) | hBOOL(hAPP(hAPP(c_member(_u1532), _u1525), _u1524)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1532, _u1534, hAPP(hAPP(c_Set_Oinsert(_u1532), _u1536), _u1538)), _u1540)) )).
% 12.21/12.44 cnf(matrix-1459, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1543, _u1544, hAPP(hAPP(c_Set_Oinsert(_u1543), _u1545), _u1546)), _u1547)) | ( hAPP(hAPP(c_Set_Oinsert(_u1543), _u1545), _u1546) = hAPP(hAPP(c_Set_Oinsert(_u1543), skolem32(_u1547, _u1546, _u1545, _u1544, _u1543)), skolem33(_u1547, _u1546, _u1545, _u1544, _u1543))) )).
% 12.21/12.44 cnf(matrix-1460, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1543, _u1544, hAPP(hAPP(c_Set_Oinsert(_u1543), _u1545), _u1546)), _u1547)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1543, _u1543, _u1544, skolem32(_u1547, _u1546, _u1545, _u1544, _u1543), skolem33(_u1547, _u1546, _u1545, _u1544, _u1543)), _u1547)) )).
% 12.21/12.44 cnf(matrix-1461, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1543, _u1544, hAPP(hAPP(c_Set_Oinsert(_u1543), _u1545), _u1546)), _u1547)) | ~hBOOL(hAPP(hAPP(c_member(_u1543), skolem32(_u1547, _u1546, _u1545, _u1544, _u1543)), skolem33(_u1547, _u1546, _u1545, _u1544, _u1543))) )).
% 12.21/12.44 cnf(matrix-1462, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1549, _u1550, _u1551) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1549, _u1550, _u1551, _u1552, hAPP(hAPP(c_Set_Oinsert(_u1549), _u1553), _u1554)), _u1555)) | hBOOL(hAPP(hAPP(c_member(_u1549), _u1553), _u1554)) | ( _u1555 = hAPP(hAPP(_u1551, _u1553), skolem34(_u1555, _u1554, _u1553, _u1552, _u1551, _u1550, _u1549))) )).
% 12.21/12.44 cnf(matrix-1463, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1549, _u1550, _u1551) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1549, _u1550, _u1551, _u1552, hAPP(hAPP(c_Set_Oinsert(_u1549), _u1553), _u1554)), _u1555)) | hBOOL(hAPP(hAPP(c_member(_u1549), _u1553), _u1554)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1549, _u1550, _u1551, _u1552, _u1554), skolem34(_u1555, _u1554, _u1553, _u1552, _u1551, _u1550, _u1549))) )).
% 12.21/12.44 cnf(matrix-1464, plain, ( ~class_Groups_Oab__semigroup__mult(_u1556) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1556, _u1556, c_Groups_Otimes__class_Otimes(_u1556), _u1557, _u1558), _u1559)) | ~hBOOL(hAPP(hAPP(c_member(_u1556), _u1560), _u1558)) | hBOOL(hAPP(hAPP(c_member(_u1556), _u1557), _u1558)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1556, _u1556, c_Groups_Otimes__class_Otimes(_u1556), _u1560, hAPP(hAPP(c_Set_Oinsert(_u1556), _u1557), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1556, tc_HOL_Obool)), _u1558), hAPP(hAPP(c_Set_Oinsert(_u1556), _u1560), c_Orderings_Obot__class_Obot(tc_fun(_u1556, tc_HOL_Obool)))))), _u1559)) )).
% 12.21/12.44 cnf(matrix-1465, plain, ( ~class_Groups_Ocomm__monoid__add(_u1562) | ~c_Fun_Oinj__on(_u1563, _u1564, _u1565, _u1566) | ( _u1567 != hAPP(c_Set_Oimage(_u1563, _u1564, _u1565), _u1566)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1564, _u1562), _u1569), _u1567) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1563, _u1562), _u1568), _u1566)) | hBOOL(hAPP(hAPP(c_member(_u1563), skolem35(_u1569, _u1568, _u1567, _u1566, _u1565, _u1564, _u1563, _u1562)), _u1566)) )).
% 12.21/12.44 cnf(matrix-1466, plain, ( ~class_Groups_Ocomm__monoid__add(_u1562) | ~c_Fun_Oinj__on(_u1563, _u1564, _u1565, _u1566) | ( _u1567 != hAPP(c_Set_Oimage(_u1563, _u1564, _u1565), _u1566)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1564, _u1562), _u1569), _u1567) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1563, _u1562), _u1568), _u1566)) | ( hAPP(_u1568, skolem35(_u1569, _u1568, _u1567, _u1566, _u1565, _u1564, _u1563, _u1562)) != hAPP(_u1569, hAPP(_u1565, skolem35(_u1569, _u1568, _u1567, _u1566, _u1565, _u1564, _u1563, _u1562)))) )).
% 12.21/12.44 cnf(matrix-1467, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), _u1576), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1578), _u1580))) | ~hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), _u1576), _u1580)) )).
% 12.21/12.44 cnf(matrix-1468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), _u1576), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1578), _u1580))) | hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1580)) | ~hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1574, tc_HOL_Obool)), _u1576), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1578), c_Orderings_Obot__class_Obot(tc_fun(_u1574, tc_HOL_Obool))))), _u1580)) )).
% 12.21/12.44 cnf(matrix-1469, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1574, tc_HOL_Obool)), _u1576), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1578), _u1580))) | hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1580)) | hBOOL(hAPP(hAPP(c_member(_u1574), _u1578), _u1576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1574, tc_HOL_Obool)), _u1576), _u1580)) )).
% 12.21/12.44 cnf(matrix-1470, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1581)) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) )).
% 12.21/12.44 cnf(matrix-1471, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), c_Orderings_Obot__class_Obot(tc_fun(_u1575, tc_HOL_Obool))))), _u1581)) | ~hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1577)) )).
% 12.21/12.44 cnf(matrix-1472, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), c_Orderings_Obot__class_Obot(tc_fun(_u1575, tc_HOL_Obool))))), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) )).
% 12.21/12.44 cnf(matrix-1473, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) | ~hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1581)) )).
% 12.21/12.44 cnf(matrix-1474, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) | hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) )).
% 12.21/12.44 cnf(matrix-1475, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), c_Orderings_Obot__class_Obot(tc_fun(_u1575, tc_HOL_Obool))))), _u1581)) | ~hBOOL(hAPP(hAPP(c_member(_u1575), _u1579), _u1577)) )).
% 12.21/12.44 cnf(matrix-1476, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), _u1581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1575, tc_HOL_Obool)), _u1577), hAPP(hAPP(c_Set_Oinsert(_u1575), _u1579), c_Orderings_Obot__class_Obot(tc_fun(_u1575, tc_HOL_Obool))))), _u1581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), _u1577), _u1581)) )).
% 12.21/12.44 cnf(matrix-1477, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1583), _u1587)) | ( hAPP(hAPP(_u1586, _u1588), _u1587) = _u1585) | ~c_Big__Operators_Ocomm__monoid__big(_u1582, _u1583, _u1584, _u1585, _u1586) )).
% 12.21/12.44 cnf(matrix-1478, plain, ( ~class_Orderings_Olinorder(_u1589) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1589, tc_HOL_Obool)), _u1590), _u1591)) | ( _u1590 = c_Orderings_Obot__class_Obot(tc_fun(_u1589, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1589), _u1591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1589), c_Big__Operators_Olinorder__class_OMax(_u1589, _u1590)), c_Big__Operators_Olinorder__class_OMax(_u1589, _u1591))) )).
% 12.21/12.44 cnf(matrix-1479, plain, ( ~class_Orderings_Olinorder(_u1592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1592, tc_HOL_Obool)), _u1593), _u1594)) | ( _u1593 = c_Orderings_Obot__class_Obot(tc_fun(_u1592, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1592), _u1594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1592), c_Big__Operators_Olinorder__class_OMin(_u1592, _u1594)), c_Big__Operators_Olinorder__class_OMin(_u1592, _u1593))) )).
% 12.21/12.44 cnf(matrix-1480, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1596), _u1597)) | ( _u1597 = c_Orderings_Obot__class_Obot(tc_fun(_u1596, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1596, _u1598, _u1597), skolem36(_u1598, _u1597, _u1596))) )).
% 12.21/12.44 cnf(matrix-1481, plain, ( ~class_Groups_Oab__semigroup__mult(_u1599) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), _u1600), _u1601)), _u1602) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), _u1600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), _u1601), _u1602))) )).
% 12.21/12.44 cnf(matrix-1482, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1603) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), _u1605)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), _u1605)) )).
% 12.21/12.44 cnf(matrix-1483, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1606) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1607), _u1607) = _u1607) )).
% 12.21/12.44 cnf(matrix-1484, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1608) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1608), _u1609), _u1609) = _u1609) )).
% 12.21/12.44 cnf(matrix-1485, plain, ( ~class_Orderings_Olinorder(_u1610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1610), _u1611), _u1612)) | ( _u1611 = _u1612) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1610), _u1612), _u1611)) )).
% 12.21/12.44 cnf(matrix-1486, plain, ( ~class_Orderings_Opreorder(_u1613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1613), _u1614), _u1615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1613), _u1615), _u1614)) )).
% 12.21/12.44 cnf(matrix-1487, plain, ( ~class_Orderings_Oorder(_u1616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1616), _u1617), _u1618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1616), _u1619), _u1617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1616), _u1619), _u1618)) )).
% 12.21/12.44 cnf(matrix-1488, plain, ( ~class_Orderings_Opreorder(_u1620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1620), _u1621), _u1622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1620), _u1622), _u1623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1620), _u1621), _u1623)) )).
% 12.21/12.44 cnf(matrix-1489, plain, ( ~class_Orderings_Oorder(_u1624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1624), _u1625), _u1626)) | ( _u1625 != _u1627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1624), _u1627), _u1626)) )).
% 12.21/12.44 cnf(matrix-1490, plain, ( ~class_Orderings_Oord(_u1628) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1628), _u1629), _u1630)) | ( _u1630 != _u1631) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1628), _u1629), _u1631)) )).
% 12.21/12.44 cnf(matrix-1491, plain, ( ~class_Orderings_Oorder(_u1632) | ( _u1633 != _u1634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1632), _u1635), _u1634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1632), _u1635), _u1633)) )).
% 12.21/12.44 cnf(matrix-1492, plain, ( ~class_Orderings_Oord(_u1636) | ( _u1637 != _u1638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1636), _u1638), _u1639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1636), _u1637), _u1639)) )).
% 12.21/12.44 cnf(matrix-1493, plain, ( ~class_Orderings_Oorder(_u1640) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1641), _u1642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1642), _u1641)) )).
% 12.21/12.44 cnf(matrix-1494, plain, ( ~class_Orderings_Opreorder(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1644), _u1645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1645), _u1644)) )).
% 12.21/12.44 cnf(matrix-1495, plain, ( ~class_Orderings_Oorder(_u1646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1646), _u1647), _u1648)) | ( _u1648 != _u1647) )).
% 12.21/12.44 cnf(matrix-1496, plain, ( ~class_Orderings_Oorder(_u1649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), _u1651)) | ( _u1650 != _u1651) )).
% 12.21/12.44 cnf(matrix-1497, plain, ( ~class_Orderings_Opreorder(_u1652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), _u1653), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), _u1654), _u1653)) )).
% 12.21/12.44 cnf(matrix-1498, plain, ( ~class_Orderings_Opreorder(_u1655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1656), _u1657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1657), _u1656)) )).
% 12.21/12.44 cnf(matrix-1499, plain, ( ~class_Orderings_Oorder(_u1658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1659), _u1660)) | ( _u1659 != _u1660) )).
% 12.21/12.44 cnf(matrix-1500, plain, ( ~class_Orderings_Olinorder(_u1661) | ( _u1662 = _u1663) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1662), _u1663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1663), _u1662)) )).
% 12.21/12.44 cnf(matrix-1501, plain, ( ~class_Orderings_Olinorder(_u1664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1665), _u1666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1666), _u1665)) | ( _u1666 = _u1665) )).
% 12.21/12.44 cnf(matrix-1502, plain, ( ~class_Orderings_Olinorder(_u1664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1665), _u1666)) | ( _u1666 != _u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1666), _u1665)) )).
% 12.21/12.44 cnf(matrix-1503, plain, ( ~class_Orderings_Olinorder(_u1667) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1668), _u1669)) | ( _u1668 = _u1669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1669), _u1668)) )).
% 12.21/12.44 cnf(matrix-1504, plain, ( ~class_Orderings_Olinorder(_u1670) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1671), _u1672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1672), _u1671)) | ( _u1671 = _u1672) )).
% 12.21/12.44 cnf(matrix-1505, plain, ( ~class_Orderings_Olinorder(_u1670) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1671), _u1672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1672), _u1671)) )).
% 12.21/12.44 cnf(matrix-1506, plain, ( ~class_Orderings_Olinorder(_u1670) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1671), _u1672)) | ( _u1671 != _u1672) )).
% 12.21/12.44 cnf(matrix-1507, plain, ( ~class_Orderings_Olinorder(_u1673) | ( _u1674 = _u1675) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1674)) )).
% 12.21/12.44 cnf(matrix-1508, plain, ( ~class_Orderings_Olinorder(_u1673) | ( _u1674 != _u1675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1675)) )).
% 12.21/12.44 cnf(matrix-1509, plain, ( ~class_Orderings_Olinorder(_u1673) | ( _u1674 != _u1675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1674)) )).
% 12.21/12.44 cnf(matrix-1510, plain, ( ~class_Orderings_Opreorder(_u1676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), _u1677), _u1677)) )).
% 12.21/12.44 cnf(matrix-1511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1678, tc_HOL_Obool)), _u1679), _u1680)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1678, tc_HOL_Obool)), _u1680), _u1681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1678, tc_HOL_Obool)), _u1679), _u1681)) )).
% 12.21/12.44 cnf(matrix-1512, plain, ( ~class_Orderings_Oord(_u1682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1683, _u1682)), _u1684), _u1685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, _u1682)), _u1684), _u1685)) )).
% 12.21/12.44 cnf(matrix-1513, plain, ( ~class_Orderings_Oord(_u1682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1683, _u1682)), _u1684), _u1685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, _u1682)), _u1685), _u1684)) )).
% 12.21/12.44 cnf(matrix-1514, plain, ( ~class_Orderings_Oord(_u1682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, _u1682)), _u1684), _u1685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, _u1682)), _u1685), _u1684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1683, _u1682)), _u1684), _u1685)) )).
% 12.21/12.44 cnf(matrix-1515, plain, ( ~class_Orderings_Oorder(_u1686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1686), _u1687), _u1688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), _u1689), _u1687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), _u1689), _u1688)) )).
% 12.21/12.44 cnf(matrix-1516, plain, ( ~class_Orderings_Opreorder(_u1690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1690), _u1691), _u1692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1690), _u1692), _u1693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1690), _u1691), _u1693)) )).
% 12.21/12.44 cnf(matrix-1517, plain, ( ~class_Orderings_Oorder(_u1694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1694), _u1695), _u1696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1694), _u1697), _u1695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1694), _u1697), _u1696)) )).
% 12.21/12.44 cnf(matrix-1518, plain, ( ~class_Orderings_Opreorder(_u1698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1698), _u1699), _u1700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1698), _u1700), _u1701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1698), _u1699), _u1701)) )).
% 12.21/12.44 cnf(matrix-1519, plain, ( ~class_Orderings_Oorder(_u1702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1702), _u1703), _u1704)) | ( _u1704 = _u1703) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1702), _u1703), _u1704)) )).
% 12.21/12.44 cnf(matrix-1520, plain, ( ~class_Orderings_Oorder(_u1705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1705), _u1706), _u1707)) | ( _u1706 = _u1707) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1705), _u1706), _u1707)) )).
% 12.21/12.44 cnf(matrix-1521, plain, ( ~class_Orderings_Oorder(_u1708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1708), _u1709), _u1710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1708), _u1709), _u1710)) | ( _u1709 = _u1710) )).
% 12.21/12.44 cnf(matrix-1522, plain, ( ~class_Orderings_Olinorder(_u1711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1711), _u1712), _u1713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1711), _u1712), _u1713)) | ( _u1712 = _u1713) )).
% 12.21/12.44 cnf(matrix-1523, plain, ( ~class_Orderings_Olinorder(_u1711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1711), _u1712), _u1713)) | ( _u1712 != _u1713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1711), _u1712), _u1713)) )).
% 12.21/12.44 cnf(matrix-1524, plain, ( ~class_Orderings_Opreorder(_u1714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1714), _u1715), _u1716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1714), _u1715), _u1716)) )).
% 12.21/12.44 cnf(matrix-1525, plain, ( ~class_Orderings_Olinorder(_u1717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1717), _u1718), _u1719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1717), _u1719), _u1718)) )).
% 12.21/12.44 cnf(matrix-1526, plain, ( ~class_Orderings_Oorder(_u1720) | ( _u1721 = _u1722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1720), _u1722), _u1721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1720), _u1722), _u1721)) )).
% 12.21/12.44 cnf(matrix-1527, plain, ( ~class_Orderings_Oorder(_u1723) | ( _u1724 = _u1725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1723), _u1724), _u1725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1723), _u1724), _u1725)) )).
% 12.21/12.44 cnf(matrix-1528, plain, ( ~class_Orderings_Olinorder(_u1726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1726), _u1727), _u1728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1726), _u1727), _u1728)) | ( _u1727 = _u1728) )).
% 12.21/12.44 cnf(matrix-1529, plain, ( ~class_Orderings_Olinorder(_u1726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1726), _u1727), _u1728)) | ( _u1727 != _u1728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1726), _u1727), _u1728)) )).
% 12.21/12.44 cnf(matrix-1530, plain, ( ~class_Orderings_Olinorder(_u1729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1729), _u1730), _u1731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1729), _u1731), _u1730)) )).
% 12.21/12.44 cnf(matrix-1531, plain, ( ~class_Orderings_Olinorder(_u1732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1732), _u1733), _u1734)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1732), _u1734), _u1733)) )).
% 12.21/12.44 cnf(matrix-1532, plain, ( ~class_Orderings_Oorder(_u1735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1735), _u1736), _u1737)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1735), _u1736), _u1737)) | ( _u1736 = _u1737) )).
% 12.21/12.44 cnf(matrix-1533, plain, ( ~class_Orderings_Oorder(_u1735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1735), _u1736), _u1737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1735), _u1736), _u1737)) )).
% 12.21/12.44 cnf(matrix-1534, plain, ( ~class_Orderings_Oorder(_u1735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1735), _u1736), _u1737)) | ( _u1736 != _u1737) )).
% 12.21/12.44 cnf(matrix-1535, plain, ( ~class_Orderings_Opreorder(_u1738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1738), _u1739), _u1740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1738), _u1739), _u1740)) )).
% 12.21/12.44 cnf(matrix-1536, plain, ( ~class_Orderings_Opreorder(_u1738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1738), _u1739), _u1740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1738), _u1740), _u1739)) )).
% 12.21/12.44 cnf(matrix-1537, plain, ( ~class_Orderings_Opreorder(_u1738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1738), _u1739), _u1740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1738), _u1740), _u1739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1738), _u1739), _u1740)) )).
% 12.21/12.44 cnf(matrix-1538, plain, ( ~class_Orderings_Oorder(_u1741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1741), _u1742), _u1743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1741), _u1742), _u1743)) )).
% 12.21/12.44 cnf(matrix-1539, plain, ( ~class_Orderings_Oorder(_u1741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1741), _u1742), _u1743)) | ( _u1742 != _u1743) )).
% 12.21/12.44 cnf(matrix-1540, plain, ( ~class_Orderings_Oorder(_u1741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1741), _u1742), _u1743)) | ( _u1742 = _u1743) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1741), _u1742), _u1743)) )).
% 12.21/12.44 cnf(matrix-1541, plain, ( ~class_Orderings_Olinorder(_u1744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1744), _u1745), _u1746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1744), _u1746), _u1745)) )).
% 12.21/12.44 cnf(matrix-1542, plain, ( ~class_Orderings_Olinorder(_u1747) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1747), _u1748), _u1749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1747), _u1749), _u1748)) )).
% 12.21/12.44 cnf(matrix-1543, plain, ( ~class_Orderings_Olinorder(_u1747) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1747), _u1749), _u1748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1747), _u1748), _u1749)) )).
% 12.21/12.44 cnf(matrix-1544, plain, ( ~class_Orderings_Olinorder(_u1750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1750), _u1751), _u1752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1750), _u1752), _u1751)) )).
% 12.21/12.44 cnf(matrix-1545, plain, ( ~class_Orderings_Olinorder(_u1750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1750), _u1752), _u1751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1750), _u1751), _u1752)) )).
% 12.21/12.44 cnf(matrix-1546, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1753, tc_HOL_Obool)), _u1754), _u1755)) | ~hBOOL(hAPP(hAPP(c_member(_u1753), _u1756), _u1754)) | hBOOL(hAPP(hAPP(c_member(_u1753), _u1756), _u1755)) )).
% 12.21/12.44 cnf(matrix-1547, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1757), _u1758), _u1759)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1757), _u1760), _u1759))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), _u1758), _u1760)) )).
% 12.21/12.44 cnf(matrix-1548, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), _u1758), _u1760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1757), _u1758), _u1759)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1757), _u1760), _u1759))) )).
% 12.21/12.44 cnf(matrix-1549, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1761), _u1762), _u1763)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1761), _u1762), _u1764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1761), _u1763), _u1764)) )).
% 12.21/12.44 cnf(matrix-1550, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1761), _u1763), _u1764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1761), _u1762), _u1763)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1761), _u1762), _u1764))) )).
% 12.21/12.44 cnf(matrix-1551, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), _u1766), _u1767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1765), _u1766), _u1768)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1765), _u1767), _u1768))) )).
% 12.21/12.44 cnf(matrix-1552, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1769), _u1770), _u1771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1769), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1769), _u1772), _u1770)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1769), _u1772), _u1771))) )).
% 12.21/12.44 cnf(matrix-1553, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), _u1774), _u1775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), _u1776), _u1777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), _u1774), _u1776)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), _u1775), _u1777))) )).
% 12.21/12.44 cnf(matrix-1554, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1778), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1778), _u1779), _u1780)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1778), _u1781), _u1780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1778), _u1779), _u1781)) )).
% 12.21/12.44 cnf(matrix-1555, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1782), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1782), _u1783), _u1784)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1782), _u1783), _u1785))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1782), _u1784), _u1785)) )).
% 12.21/12.44 cnf(matrix-1556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1786, tc_HOL_Obool)), _u1787), c_Orderings_Obot__class_Obot(tc_fun(_u1786, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1557, plain, ( ~class_Groups_Oordered__ab__group__add(_u1788) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1788), _u1789), _u1790) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1788), _u1791), _u1792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1788), _u1789), _u1790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1788), _u1791), _u1792)) )).
% 12.21/12.44 cnf(matrix-1558, plain, ( ~class_Groups_Oordered__ab__group__add(_u1788) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1788), _u1789), _u1790) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1788), _u1791), _u1792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1788), _u1791), _u1792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1788), _u1789), _u1790)) )).
% 12.21/12.44 cnf(matrix-1559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1793, tc_HOL_Obool)), _u1794), _u1795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1793, tc_HOL_Obool)), _u1795), _u1796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1793, tc_HOL_Obool)), _u1794), _u1796)) )).
% 12.21/12.44 cnf(matrix-1560, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1797, tc_HOL_Obool)), _u1798), _u1799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1797, tc_HOL_Obool)), _u1799), _u1800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1797, tc_HOL_Obool)), _u1798), _u1800)) )).
% 12.21/12.44 cnf(matrix-1561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1801, tc_HOL_Obool)), _u1802), _u1803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1801, tc_HOL_Obool)), _u1802), _u1803)) )).
% 12.21/12.44 cnf(matrix-1562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1807, tc_HOL_Obool)), _u1809), _u1811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1807, tc_HOL_Obool)), _u1809), _u1811)) | ( _u1809 = _u1811) )).
% 12.21/12.44 cnf(matrix-1563, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1808, tc_HOL_Obool)), _u1810), _u1812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1808, tc_HOL_Obool)), _u1810), _u1812)) )).
% 12.21/12.44 cnf(matrix-1564, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1808, tc_HOL_Obool)), _u1810), _u1812)) | ( _u1810 != _u1812) )).
% 12.21/12.44 cnf(matrix-1565, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1816, tc_HOL_Obool)), _u1818), _u1820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1816, tc_HOL_Obool)), _u1818), _u1820)) )).
% 12.21/12.44 cnf(matrix-1566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1816, tc_HOL_Obool)), _u1818), _u1820)) | ( _u1818 != _u1820) )).
% 12.21/12.44 cnf(matrix-1567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1817, tc_HOL_Obool)), _u1819), _u1821)) | ( _u1819 = _u1821) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1817, tc_HOL_Obool)), _u1819), _u1821)) )).
% 12.21/12.44 cnf(matrix-1568, plain, ( ~class_Groups_Oab__semigroup__mult(_u1822) | c_Finite__Set_Ofun__left__comm(_u1822, _u1822, c_Groups_Otimes__class_Otimes(_u1822)) )).
% 12.21/12.44 cnf(matrix-1569, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1823) | c_Finite__Set_Ofun__left__comm__idem(_u1823, _u1823, c_Groups_Otimes__class_Otimes(_u1823)) )).
% 12.21/12.44 cnf(matrix-1570, plain, ( ~class_Rings_Osemiring__0(_u1824) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1824), _u1825), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1826, _u1824), _u1827), _u1828)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1826, _u1824), hAPP(hAPP(c_COMBB(_u1824, _u1824, _u1826), hAPP(c_Groups_Otimes__class_Otimes(_u1824), _u1825)), _u1827)), _u1828)) )).
% 12.21/12.44 cnf(matrix-1571, plain, ( ~class_Rings_Osemiring__0(_u1829) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1829), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1830, _u1829), _u1831), _u1832)), _u1833) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1830, _u1829), hAPP(hAPP(c_COMBC(_u1830, _u1829, _u1829), hAPP(hAPP(c_COMBB(_u1829, tc_fun(_u1829, _u1829), _u1830), c_Groups_Otimes__class_Otimes(_u1829)), _u1831)), _u1833)), _u1832)) )).
% 12.21/12.44 cnf(matrix-1572, plain, ( ~class_Rings_Osemiring__0(_u1834) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1834), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1835, _u1834), _u1836), _u1837)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1838, _u1834), _u1839), _u1840)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1835, _u1834), hAPP(hAPP(c_COMBC(_u1835, tc_fun(_u1838, tc_HOL_Obool), _u1834), hAPP(hAPP(c_COMBB(tc_fun(_u1838, _u1834), tc_fun(tc_fun(_u1838, tc_HOL_Obool), _u1834), _u1835), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1838, _u1834)), hAPP(hAPP(c_COMBC(_u1835, tc_fun(_u1838, _u1834), tc_fun(_u1838, _u1834)), hAPP(hAPP(c_COMBB(tc_fun(_u1834, _u1834), tc_fun(tc_fun(_u1838, _u1834), tc_fun(_u1838, _u1834)), _u1835), c_COMBB(_u1834, _u1834, _u1838)), hAPP(hAPP(c_COMBB(_u1834, tc_fun(_u1834, _u1834), _u1835), c_Groups_Otimes__class_Otimes(_u1834)), _u1836))), _u1839))), _u1840)), _u1837)) )).
% 12.21/12.44 cnf(matrix-1573, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1841), _u1842), _u1843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1844), _u1845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1841), _u1842), _u1844)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1841), _u1843), _u1845))) )).
% 12.21/12.44 cnf(matrix-1574, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1846), _u1847), _u1848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1846), _u1849), _u1850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1846), _u1847), _u1849)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1846), _u1848), _u1850))) )).
% 12.21/12.44 cnf(matrix-1575, plain, ( ~c_Fun_Oinj__on(_u1851, _u1852, _u1853, _u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1851, tc_HOL_Obool)), _u1855), _u1854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1852, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1851, _u1852, _u1853), _u1855)), hAPP(c_Set_Oimage(_u1851, _u1852, _u1853), _u1854))) )).
% 12.21/12.44 cnf(matrix-1576, plain, ( ~class_Orderings_Olinorder(_u1856) | ( c_Big__Operators_Olinorder__class_OMin(_u1856, hAPP(hAPP(c_Set_Oinsert(_u1856), _u1857), c_Orderings_Obot__class_Obot(tc_fun(_u1856, tc_HOL_Obool)))) = _u1857) )).
% 12.21/12.44 cnf(matrix-1577, plain, ( ~class_Orderings_Olinorder(_u1858) | ( c_Big__Operators_Olinorder__class_OMax(_u1858, hAPP(hAPP(c_Set_Oinsert(_u1858), _u1859), c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool)))) = _u1859) )).
% 12.21/12.44 cnf(matrix-1578, plain, ( ~class_Groups_Oab__semigroup__mult(_u1860) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1860, _u1860, c_Groups_Otimes__class_Otimes(_u1860), _u1861, _u1862), _u1863)) | hBOOL(hAPP(hAPP(c_member(_u1860), _u1861), _u1862)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1860, _u1860, c_Groups_Otimes__class_Otimes(_u1860), _u1864, hAPP(hAPP(c_Set_Oinsert(_u1860), _u1861), _u1862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1860), _u1864), _u1863))) )).
% 12.21/12.44 cnf(matrix-1579, plain, ( ~class_Orderings_Olinorder(_u1865) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1865), _u1866)) | ~hBOOL(hAPP(hAPP(c_member(_u1865), _u1867), _u1866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1865), c_Big__Operators_Olinorder__class_OMin(_u1865, _u1866)), _u1867)) )).
% 12.21/12.44 cnf(matrix-1580, plain, ( ~class_Orderings_Olinorder(_u1868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1868), _u1869)) | ~hBOOL(hAPP(hAPP(c_member(_u1868), _u1870), _u1869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1868), _u1870), c_Big__Operators_Olinorder__class_OMax(_u1868, _u1869))) )).
% 12.21/12.44 cnf(matrix-1581, plain, ( ~class_Orderings_Olinorder(_u1871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1871), _u1872)) | ( _u1872 = c_Orderings_Obot__class_Obot(tc_fun(_u1871, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1871), c_Big__Operators_Olinorder__class_OMin(_u1871, _u1872)), _u1872)) )).
% 12.21/12.44 cnf(matrix-1582, plain, ( ~class_Orderings_Olinorder(_u1873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1873), _u1874)) | ( _u1874 = c_Orderings_Obot__class_Obot(tc_fun(_u1873, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1873), c_Big__Operators_Olinorder__class_OMax(_u1873, _u1874)), _u1874)) )).
% 12.21/12.44 cnf(matrix-1583, plain, ( ~class_Rings_Oordered__ring(_u1875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), _u1876), _u1877)), _u1878)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), _u1879), _u1877)), _u1880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1878), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1879), _u1876)), _u1877)), _u1880))) )).
% 12.21/12.44 cnf(matrix-1584, plain, ( ~class_Rings_Oordered__ring(_u1875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1878), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1879), _u1876)), _u1877)), _u1880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), _u1876), _u1877)), _u1878)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1875), _u1879), _u1877)), _u1880))) )).
% 12.21/12.44 cnf(matrix-1585, plain, ( ~class_Rings_Oordered__ring(_u1881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), _u1882), _u1883)), _u1884)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), _u1885), _u1883)), _u1886))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1881), _u1882), _u1885)), _u1883)), _u1884)), _u1886)) )).
% 12.21/12.44 cnf(matrix-1586, plain, ( ~class_Rings_Oordered__ring(_u1881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1881), _u1882), _u1885)), _u1883)), _u1884)), _u1886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), _u1882), _u1883)), _u1884)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1881), _u1885), _u1883)), _u1886))) )).
% 12.21/12.44 cnf(matrix-1587, plain, ( ~class_Rings_Oordered__ring(_u1887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), _u1888), _u1889)), _u1890)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), _u1891), _u1889)), _u1892))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), _u1890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1887), _u1891), _u1888)), _u1889)), _u1892))) )).
% 12.21/12.44 cnf(matrix-1588, plain, ( ~class_Rings_Oordered__ring(_u1887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), _u1890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1887), _u1891), _u1888)), _u1889)), _u1892))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), _u1888), _u1889)), _u1890)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1887), _u1891), _u1889)), _u1892))) )).
% 12.21/12.44 cnf(matrix-1589, plain, ( ~class_Rings_Oordered__ring(_u1893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), _u1894), _u1895)), _u1896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), _u1897), _u1895)), _u1898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1893), _u1894), _u1897)), _u1895)), _u1896)), _u1898)) )).
% 12.21/12.44 cnf(matrix-1590, plain, ( ~class_Rings_Oordered__ring(_u1893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1893), _u1894), _u1897)), _u1895)), _u1896)), _u1898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), _u1894), _u1895)), _u1896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), _u1897), _u1895)), _u1898))) )).
% 12.21/12.44 cnf(matrix-1591, plain, ( ~class_Rings_Oring(_u1899) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1900), _u1901)), _u1902) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1903), _u1901)), _u1904)) | ( _u1902 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1899), _u1903), _u1900)), _u1901)), _u1904)) )).
% 12.21/12.44 cnf(matrix-1592, plain, ( ~class_Rings_Oring(_u1899) | ( _u1902 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1899), _u1903), _u1900)), _u1901)), _u1904)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1900), _u1901)), _u1902) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1903), _u1901)), _u1904)) )).
% 12.21/12.44 cnf(matrix-1593, plain, ( ~class_Rings_Oring(_u1905) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), _u1906), _u1907)), _u1908) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), _u1909), _u1907)), _u1910)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1905), _u1906), _u1909)), _u1907)), _u1908) = _u1910) )).
% 12.21/12.44 cnf(matrix-1594, plain, ( ~class_Rings_Oring(_u1905) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1905), _u1906), _u1909)), _u1907)), _u1908) != _u1910) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), _u1906), _u1907)), _u1908) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1905), _u1909), _u1907)), _u1910)) )).
% 12.21/12.44 cnf(matrix-1595, plain, ( ~class_Rings_Ocomm__semiring__1(_u1911) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1911), _u1912), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1911), _u1913), _u1914)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1911), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1911), _u1912), _u1913)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1911), _u1912), _u1914))) )).
% 12.21/12.44 cnf(matrix-1596, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1915) | ( _u1916 = _u1917) | ( _u1918 = _u1919) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1919)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1919)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1918))) )).
% 12.21/12.44 cnf(matrix-1597, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1915) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1919)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1919)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1918))) | ( _u1916 != _u1917) )).
% 12.21/12.44 cnf(matrix-1598, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1915) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1919)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1916), _u1919)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1915), _u1917), _u1918))) | ( _u1918 != _u1919) )).
% 12.21/12.44 cnf(matrix-1599, plain, ( ~class_Rings_Ocomm__semiring(_u1920) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1920), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1920), _u1921), _u1922)), _u1923) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1920), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1920), _u1921), _u1923)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1920), _u1922), _u1923))) )).
% 12.21/12.44 cnf(matrix-1600, plain, ( ~class_Rings_Ocomm__semiring__1(_u1924) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1924), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1924), _u1925), _u1926)), _u1927) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1924), _u1925), _u1927)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1924), _u1926), _u1927))) )).
% 12.21/12.44 cnf(matrix-1601, plain, ( ~class_Rings_Olinordered__idom(_u1928) | ( _u1929 = _u1930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), _u1929), _u1930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), _u1930), _u1929)) )).
% 12.21/12.44 cnf(matrix-1602, plain, ( ~class_Rings_Ocomm__semiring__1(_u1931) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1933)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1934), _u1935)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1934)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1933), _u1935))) )).
% 12.21/12.44 cnf(matrix-1603, plain, ( ~class_Rings_Ocomm__semiring__1(_u1936) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1936), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1936), _u1937), _u1938)), _u1939) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1936), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1936), _u1937), _u1939)), _u1938)) )).
% 12.21/12.44 cnf(matrix-1604, plain, ( ~class_Rings_Ocomm__semiring__1(_u1940) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1940), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1940), _u1941), _u1942)), _u1943) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1940), _u1941), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1940), _u1942), _u1943))) )).
% 12.21/12.44 cnf(matrix-1605, plain, ( ~class_Rings_Ocomm__semiring__1(_u1944) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1944), _u1945), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1944), _u1946), _u1947)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1944), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1944), _u1945), _u1946)), _u1947)) )).
% 12.21/12.44 cnf(matrix-1606, plain, ( ~class_Rings_Ocomm__semiring__1(_u1948) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1948), _u1949), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1948), _u1950), _u1951)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1948), _u1950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1948), _u1949), _u1951))) )).
% 12.21/12.44 cnf(matrix-1607, plain, ( ~class_Rings_Ocomm__semiring__1(_u1952) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1952), _u1953), _u1954) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1952), _u1954), _u1953)) )).
% 12.21/12.44 cnf(matrix-1608, plain, ( ~class_Rings_Ocomm__semiring__1(_u1955) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1956), _u1957)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1958), _u1959)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1956), _u1958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1957), _u1959))) )).
% 12.21/12.44 cnf(matrix-1609, plain, ( ~class_Rings_Ocomm__semiring__1(_u1960) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1961), _u1962)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1963), _u1964)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1961), _u1962)), _u1964))) )).
% 12.21/12.44 cnf(matrix-1610, plain, ( ~class_Rings_Ocomm__semiring__1(_u1965) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1966), _u1967)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1968), _u1969)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1967), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1968), _u1969)))) )).
% 12.21/12.44 cnf(matrix-1611, plain, ( ~class_Rings_Ocomm__semiring__1(_u1970) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1970), _u1971), _u1972)), _u1973) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1970), _u1971), _u1973)), _u1972)) )).
% 12.21/12.44 cnf(matrix-1612, plain, ( ~class_Rings_Ocomm__semiring__1(_u1974) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), _u1975), _u1976)), _u1977) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), _u1975), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), _u1976), _u1977))) )).
% 12.21/12.44 cnf(matrix-1613, plain, ( ~class_Rings_Ocomm__semiring__1(_u1978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1979), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1980), _u1981)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1979), _u1980)), _u1981)) )).
% 12.21/12.44 cnf(matrix-1614, plain, ( ~class_Rings_Ocomm__semiring__1(_u1982) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1984), _u1985)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), _u1985))) )).
% 12.21/12.44 cnf(matrix-1615, plain, ( ~class_Rings_Ocomm__semiring__1(_u1986) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1988) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1988), _u1987)) )).
% 12.21/12.44 cnf(matrix-1616, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1989) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1993)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1991))) | ( _u1990 = _u1992) | ( _u1991 = _u1993) )).
% 12.21/12.44 cnf(matrix-1617, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1989) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1993)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1991))) | ( _u1990 != _u1992) )).
% 12.21/12.44 cnf(matrix-1618, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1989) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1993)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1990), _u1993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), _u1992), _u1991))) | ( _u1991 != _u1993) )).
% 12.21/12.44 cnf(matrix-1619, plain, ( ~class_Rings_Osemiring(_u1994) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1994), _u1995), _u1996)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1994), _u1997), _u1996)), _u1998)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1994), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1994), _u1995), _u1997)), _u1996)), _u1998)) )).
% 12.21/12.44 cnf(matrix-1620, plain, ( ~class_Rings_Ocomm__semiring__1(_u1999) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1999), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1999), _u2000), _u2001)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1999), _u2002), _u2001)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1999), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1999), _u2000), _u2002)), _u2001)) )).
% 12.21/12.44 cnf(matrix-1621, plain, ( ~class_Groups_Ocomm__monoid__add(_u2004) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2004) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2005), _u2006)) | ( _u2006 = c_Orderings_Obot__class_Obot(tc_fun(_u2005, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2004), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2005, _u2004), _u2007), _u2006)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2005, _u2004), _u2008), _u2006))) | hBOOL(hAPP(hAPP(c_member(_u2005), skolem37(_u2008, _u2007, _u2006, _u2005, _u2004)), _u2006)) )).
% 12.21/12.44 cnf(matrix-1622, plain, ( ~class_Groups_Ocomm__monoid__add(_u2004) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2004) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2005), _u2006)) | ( _u2006 = c_Orderings_Obot__class_Obot(tc_fun(_u2005, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2004), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2005, _u2004), _u2007), _u2006)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2005, _u2004), _u2008), _u2006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2004), hAPP(_u2007, skolem37(_u2008, _u2007, _u2006, _u2005, _u2004))), hAPP(_u2008, skolem37(_u2008, _u2007, _u2006, _u2005, _u2004)))) )).
% 12.21/12.44 cnf(matrix-1623, plain, ( ~class_Orderings_Olinorder(_u2009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2009), _u2010)) | ~hBOOL(hAPP(hAPP(c_member(_u2009), _u2011), _u2010)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2009, tc_HOL_Obool)), _u2010), hAPP(hAPP(c_Set_Oinsert(_u2009), _u2011), c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2009, _u2010) = _u2011) )).
% 12.21/12.44 cnf(matrix-1624, plain, ( ~class_Orderings_Olinorder(_u2009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2009), _u2010)) | ~hBOOL(hAPP(hAPP(c_member(_u2009), _u2011), _u2010)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2009, tc_HOL_Obool)), _u2010), hAPP(hAPP(c_Set_Oinsert(_u2009), _u2011), c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2009, _u2010) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2009), _u2011), c_Big__Operators_Olinorder__class_OMin(_u2009, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2009, tc_HOL_Obool)), _u2010), hAPP(hAPP(c_Set_Oinsert(_u2009), _u2011), c_Orderings_Obot__class_Obot(tc_fun(_u2009, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1625, plain, ( ~class_Orderings_Olinorder(_u2012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2012), _u2013)) | ~hBOOL(hAPP(hAPP(c_member(_u2012), _u2014), _u2013)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2012, tc_HOL_Obool)), _u2013), hAPP(hAPP(c_Set_Oinsert(_u2012), _u2014), c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2012, _u2013) = _u2014) )).
% 12.21/12.44 cnf(matrix-1626, plain, ( ~class_Orderings_Olinorder(_u2012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2012), _u2013)) | ~hBOOL(hAPP(hAPP(c_member(_u2012), _u2014), _u2013)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2012, tc_HOL_Obool)), _u2013), hAPP(hAPP(c_Set_Oinsert(_u2012), _u2014), c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2012, _u2013) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2012), _u2014), c_Big__Operators_Olinorder__class_OMax(_u2012, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2012, tc_HOL_Obool)), _u2013), hAPP(hAPP(c_Set_Oinsert(_u2012), _u2014), c_Orderings_Obot__class_Obot(tc_fun(_u2012, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1627, plain, ( ~class_Groups_Oab__semigroup__mult(_u2015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2015), _u2016)) | hBOOL(hAPP(hAPP(c_member(_u2015), _u2017), _u2016)) | ( hAPP(c_Finite__Set_Ofold1(_u2015, c_Groups_Otimes__class_Otimes(_u2015)), hAPP(hAPP(c_Set_Oinsert(_u2015), _u2017), _u2016)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2015, _u2015, c_Groups_Otimes__class_Otimes(_u2015)), _u2017), _u2016)) )).
% 12.21/12.44 cnf(matrix-1628, plain, ( ~class_Groups_Oab__semigroup__mult(_u2018) | ( _u2019 = c_Orderings_Obot__class_Obot(tc_fun(_u2018, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2018), _u2019)) | hBOOL(hAPP(hAPP(c_member(_u2018), _u2020), _u2019)) | ( hAPP(c_Finite__Set_Ofold1(_u2018, c_Groups_Otimes__class_Otimes(_u2018)), hAPP(hAPP(c_Set_Oinsert(_u2018), _u2020), _u2019)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2018), _u2020), hAPP(c_Finite__Set_Ofold1(_u2018, c_Groups_Otimes__class_Otimes(_u2018)), _u2019))) )).
% 12.21/12.44 cnf(matrix-1629, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2022), _u2023)) | ~hBOOL(hAPP(hAPP(c_member(_u2022), _u2024), _u2023)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2022, _u2021), _u2025), _u2023) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2021), hAPP(_u2025, _u2024)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2022, _u2021), _u2025), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2022, tc_HOL_Obool)), _u2023), hAPP(hAPP(c_Set_Oinsert(_u2022), _u2024), c_Orderings_Obot__class_Obot(tc_fun(_u2022, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1630, plain, ( ~class_Orderings_Olinorder(_u2027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2027), _u2028)) | ~hBOOL(hAPP(hAPP(c_member(_u2027), _u2029), _u2028)) | ( c_Big__Operators_Olinorder__class_OMin(_u2027, _u2028) = _u2029) | hBOOL(hAPP(hAPP(c_member(_u2027), skolem38(_u2029, _u2028, _u2027)), _u2028)) )).
% 12.21/12.44 cnf(matrix-1631, plain, ( ~class_Orderings_Olinorder(_u2027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2027), _u2028)) | ~hBOOL(hAPP(hAPP(c_member(_u2027), _u2029), _u2028)) | ( c_Big__Operators_Olinorder__class_OMin(_u2027, _u2028) = _u2029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2027), _u2029), skolem38(_u2029, _u2028, _u2027))) )).
% 12.21/12.44 cnf(matrix-1632, plain, ( ~class_Orderings_Olinorder(_u2031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2031), _u2032)) | ~hBOOL(hAPP(hAPP(c_member(_u2031), _u2033), _u2032)) | ( c_Big__Operators_Olinorder__class_OMax(_u2031, _u2032) = _u2033) | hBOOL(hAPP(hAPP(c_member(_u2031), skolem39(_u2033, _u2032, _u2031)), _u2032)) )).
% 12.21/12.44 cnf(matrix-1633, plain, ( ~class_Orderings_Olinorder(_u2031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2031), _u2032)) | ~hBOOL(hAPP(hAPP(c_member(_u2031), _u2033), _u2032)) | ( c_Big__Operators_Olinorder__class_OMax(_u2031, _u2032) = _u2033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2031), skolem39(_u2033, _u2032, _u2031)), _u2033)) )).
% 12.21/12.44 cnf(matrix-1634, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2034), _u2035)) | ( _u2035 = c_Orderings_Obot__class_Obot(tc_fun(_u2034, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2034), c_Big__Operators_Olinorder__class_OMax(_u2034, _u2035)) = c_Big__Operators_Olinorder__class_OMin(_u2034, hAPP(c_Set_Oimage(_u2034, _u2034, c_Groups_Ouminus__class_Ouminus(_u2034)), _u2035))) )).
% 12.21/12.44 cnf(matrix-1635, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2036) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2036), _u2037)) | ( _u2037 = c_Orderings_Obot__class_Obot(tc_fun(_u2036, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), c_Big__Operators_Olinorder__class_OMin(_u2036, _u2037)) = c_Big__Operators_Olinorder__class_OMax(_u2036, hAPP(c_Set_Oimage(_u2036, _u2036, c_Groups_Ouminus__class_Ouminus(_u2036)), _u2037))) )).
% 12.21/12.44 cnf(matrix-1636, plain, ( hBOOL(hAPP(hAPP(c_member(_u2038), _u2039), _u2040)) | hBOOL(hAPP(hAPP(c_member(_u2038), _u2039), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2038, tc_HOL_Obool)), _u2040))) )).
% 12.21/12.44 cnf(matrix-1637, plain, ( ~class_Groups_Oordered__ab__group__add(_u2041) | c_Fun_Oinj__on(_u2041, _u2041, c_Groups_Ouminus__class_Ouminus(_u2041), _u2042) )).
% 12.21/12.44 cnf(matrix-1638, plain, ( ~class_Groups_Ogroup__add(_u2043) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2044) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2045)) | ( _u2044 = _u2045) )).
% 12.21/12.44 cnf(matrix-1639, plain, ( ~class_Groups_Ogroup__add(_u2043) | ( _u2044 != _u2045) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2044) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2043), _u2045)) )).
% 12.21/12.44 cnf(matrix-1640, plain, ( ~class_Groups_Ogroup__add(_u2046) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2046), _u2047) != _u2048) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2046), _u2048) = _u2047) )).
% 12.21/12.44 cnf(matrix-1641, plain, ( ~class_Groups_Ogroup__add(_u2046) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2046), _u2048) != _u2047) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2046), _u2047) = _u2048) )).
% 12.21/12.44 cnf(matrix-1642, plain, ( ~class_Groups_Ogroup__add(_u2049) | ( _u2050 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2049), _u2051)) | ( _u2051 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2049), _u2050)) )).
% 12.21/12.44 cnf(matrix-1643, plain, ( ~class_Groups_Ogroup__add(_u2049) | ( _u2051 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2049), _u2050)) | ( _u2050 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2049), _u2051)) )).
% 12.21/12.44 cnf(matrix-1644, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2052) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2052), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2052), _u2053), _u2054)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2052), hAPP(c_Groups_Ouminus__class_Ouminus(_u2052), _u2053)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2052), _u2054))) )).
% 12.21/12.44 cnf(matrix-1645, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2055) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2055), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2055), _u2056), _u2057)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2055), hAPP(c_Groups_Ouminus__class_Ouminus(_u2055), _u2056)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2055), _u2057))) )).
% 12.21/12.44 cnf(matrix-1646, plain, ( ~class_Groups_Ogroup__add(_u2058) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2058), hAPP(c_Groups_Ouminus__class_Ouminus(_u2058), _u2059)) = _u2059) )).
% 12.21/12.44 cnf(matrix-1647, plain, ( ~class_Orderings_Olinorder(_u2060) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2060), _u2061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2060), _u2062), _u2063))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2060), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2060), _u2061), _u2062)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2060), _u2061), _u2063)))) )).
% 12.21/12.44 cnf(matrix-1648, plain, ( ~class_Orderings_Olinorder(_u2064) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2064), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2064), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2064), _u2065), _u2066)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2064), _u2065), _u2067))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2064), _u2065), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2064), _u2066), _u2067)))) )).
% 12.21/12.44 cnf(matrix-1649, plain, ( ~class_Orderings_Olinorder(_u2068) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2068), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2068), _u2069), _u2070)), _u2071) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2068), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2068), _u2069), _u2071)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2068), _u2070), _u2071))) )).
% 12.21/12.44 cnf(matrix-1650, plain, ( ~class_Orderings_Olinorder(_u2072) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2072), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2072), _u2073), _u2074)), _u2075) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2072), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2072), _u2073), _u2075)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2072), _u2074), _u2075))) )).
% 12.21/12.44 cnf(matrix-1651, plain, ( ~class_Orderings_Olinorder(_u2076) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2076), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2076), _u2077), _u2078)), _u2079) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2076), _u2077), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2076), _u2078), _u2079))) )).
% 12.21/12.44 cnf(matrix-1652, plain, ( ~class_Orderings_Olinorder(_u2080) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2080), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2080), _u2081), _u2082)), _u2083) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2080), _u2081), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2080), _u2082), _u2083))) )).
% 12.21/12.44 cnf(matrix-1653, plain, ( ~class_Orderings_Olinorder(_u2084) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2084), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2084), _u2085), _u2086)), _u2087) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2084), _u2085), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2084), _u2086), _u2087))) )).
% 12.21/12.44 cnf(matrix-1654, plain, ( ~class_Orderings_Olinorder(_u2088) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2088), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2088), _u2089), _u2090)), _u2091) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2088), _u2089), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2088), _u2090), _u2091))) )).
% 12.21/12.44 cnf(matrix-1655, plain, ( ~class_Lattices_Oboolean__algebra(_u2092) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2092), _u2093) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2092), _u2094)) | ( _u2093 = _u2094) )).
% 12.21/12.44 cnf(matrix-1656, plain, ( ~class_Lattices_Oboolean__algebra(_u2092) | ( _u2093 != _u2094) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2092), _u2093) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2092), _u2094)) )).
% 12.21/12.44 cnf(matrix-1657, plain, ( ~class_Orderings_Olinorder(_u2095) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2095), _u2096), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2095), _u2097), _u2098)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2095), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2095), _u2096), _u2097)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2095), _u2096), _u2098))) )).
% 12.21/12.44 cnf(matrix-1658, plain, ( ~class_Orderings_Olinorder(_u2099) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2099), _u2100), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2099), _u2101), _u2102)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2099), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2099), _u2100), _u2101)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2099), _u2100), _u2102))) )).
% 12.21/12.44 cnf(matrix-1659, plain, ( ~class_Orderings_Olinorder(_u2103) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2103), _u2104), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2103), _u2105), _u2106)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2103), _u2105), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2103), _u2104), _u2106))) )).
% 12.21/12.44 cnf(matrix-1660, plain, ( ~class_Orderings_Olinorder(_u2107) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2107), _u2108), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2107), _u2109), _u2110)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2107), _u2109), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2107), _u2108), _u2110))) )).
% 12.21/12.44 cnf(matrix-1661, plain, ( ~class_Orderings_Olinorder(_u2111) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2111), _u2112), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2111), _u2113), _u2114)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2111), _u2113), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2111), _u2112), _u2114))) )).
% 12.21/12.44 cnf(matrix-1662, plain, ( ~class_Orderings_Olinorder(_u2115) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2115), _u2116), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2115), _u2117), _u2118)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2115), _u2117), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2115), _u2116), _u2118))) )).
% 12.21/12.44 cnf(matrix-1663, plain, ( ~class_Orderings_Olinorder(_u2119) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2119), _u2120), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2119), _u2120), _u2121)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2119), _u2120), _u2121)) )).
% 12.21/12.44 cnf(matrix-1664, plain, ( ~class_Orderings_Olinorder(_u2122) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2122), _u2123), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2122), _u2123), _u2124)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2122), _u2123), _u2124)) )).
% 12.21/12.44 cnf(matrix-1665, plain, ( ~class_Orderings_Olinorder(_u2125) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2125), _u2126), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2125), _u2126), _u2127)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2125), _u2126), _u2127)) )).
% 12.21/12.44 cnf(matrix-1666, plain, ( ~class_Orderings_Olinorder(_u2128) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2128), _u2129), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2128), _u2129), _u2130)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2128), _u2129), _u2130)) )).
% 12.21/12.44 cnf(matrix-1667, plain, ( ~class_Orderings_Olinorder(_u2131) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2131), _u2132), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2131), _u2132), _u2133)) = _u2132) )).
% 12.21/12.44 cnf(matrix-1668, plain, ( ~class_Orderings_Olinorder(_u2134) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2134), _u2135), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2134), _u2135), _u2136)) = _u2135) )).
% 12.21/12.44 cnf(matrix-1669, plain, ( ~class_Orderings_Olinorder(_u2137) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2137), _u2138), _u2139) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2137), _u2139), _u2138)) )).
% 12.21/12.44 cnf(matrix-1670, plain, ( ~class_Orderings_Olinorder(_u2140) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2140), _u2141), _u2142) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2140), _u2142), _u2141)) )).
% 12.21/12.44 cnf(matrix-1671, plain, ( ~class_Orderings_Olinorder(_u2143) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2143), _u2144), _u2145) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2143), _u2145), _u2144)) )).
% 12.21/12.44 cnf(matrix-1672, plain, ( ~class_Orderings_Olinorder(_u2146) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2146), _u2147), _u2148) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2146), _u2148), _u2147)) )).
% 12.21/12.44 cnf(matrix-1673, plain, ( ~class_Groups_Ouminus(_u2149) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2150, _u2149)), _u2151), _u2152) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2149), hAPP(_u2151, _u2152))) )).
% 12.21/12.44 cnf(matrix-1674, plain, ( ~class_Orderings_Olinorder(_u2153) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2153), _u2154), _u2154) = _u2154) )).
% 12.21/12.44 cnf(matrix-1675, plain, ( ~class_Orderings_Olinorder(_u2155) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2155), _u2156), _u2156) = _u2156) )).
% 12.21/12.44 cnf(matrix-1676, plain, ( ~class_Lattices_Oboolean__algebra(_u2157) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2157), hAPP(c_Groups_Ouminus__class_Ouminus(_u2157), _u2158)) = _u2158) )).
% 12.21/12.44 cnf(matrix-1677, plain, ( ~class_Groups_Ouminus(_u2159) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2160, _u2159)), _u2161), _u2162) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2159), hAPP(_u2161, _u2162))) )).
% 12.21/12.44 cnf(matrix-1678, plain, ( ~class_Orderings_Olinorder(_u2163) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2163), _u2164), _u2164) = _u2164) )).
% 12.21/12.44 cnf(matrix-1679, plain, ( ~class_Orderings_Olinorder(_u2165) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2165), _u2166), _u2166) = _u2166) )).
% 12.21/12.44 cnf(matrix-1680, plain, ( ~class_Orderings_Olinorder(_u2167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2167), _u2168), _u2169)), _u2170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), _u2168), _u2170)) )).
% 12.21/12.44 cnf(matrix-1681, plain, ( ~class_Orderings_Olinorder(_u2167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2167), _u2168), _u2169)), _u2170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), _u2169), _u2170)) )).
% 12.21/12.44 cnf(matrix-1682, plain, ( ~class_Orderings_Olinorder(_u2171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2171), _u2172), _u2173)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2171), _u2174), _u2175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2171), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2171), _u2172), _u2174)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2171), _u2173), _u2175))) )).
% 12.21/12.44 cnf(matrix-1683, plain, ( ~class_Orderings_Olinorder(_u2176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2176), _u2177), _u2178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2176), _u2179), _u2178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2176), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2176), _u2177), _u2179)), _u2178)) )).
% 12.21/12.44 cnf(matrix-1684, plain, ( ~class_Orderings_Olinorder(_u2180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2180), _u2181), _u2182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2180), _u2183), _u2182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2180), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2180), _u2181), _u2183)), _u2182)) )).
% 12.21/12.44 cnf(matrix-1685, plain, ( ~class_Orderings_Olinorder(_u2184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2185), _u2186)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2184), _u2186), _u2185) = _u2186) )).
% 12.21/12.44 cnf(matrix-1686, plain, ( ~class_Orderings_Olinorder(_u2187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2187), _u2188), _u2189)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2187), _u2188), _u2189) = _u2189) )).
% 12.21/12.44 cnf(matrix-1687, plain, ( ~class_Orderings_Olinorder(_u2190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2190), _u2191), _u2192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2190), _u2191), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2190), _u2193), _u2192))) )).
% 12.21/12.44 cnf(matrix-1688, plain, ( ~class_Orderings_Olinorder(_u2194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2195), _u2196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2195), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2194), _u2196), _u2197))) )).
% 12.21/12.44 cnf(matrix-1689, plain, ( ~class_Orderings_Olinorder(_u2198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2198), _u2199), _u2200)), _u2201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), _u2199), _u2201)) )).
% 12.21/12.44 cnf(matrix-1690, plain, ( ~class_Orderings_Olinorder(_u2198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2198), _u2199), _u2200)), _u2201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), _u2200), _u2201)) )).
% 12.21/12.44 cnf(matrix-1691, plain, ( ~class_Orderings_Olinorder(_u2198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), _u2199), _u2201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), _u2200), _u2201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2198), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2198), _u2199), _u2200)), _u2201)) )).
% 12.21/12.44 cnf(matrix-1692, plain, ( ~class_Orderings_Olinorder(_u2202) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2202), _u2203), _u2204)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2202), _u2203), _u2204) = _u2204) )).
% 12.21/12.44 cnf(matrix-1693, plain, ( ~class_Orderings_Olinorder(_u2202) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2202), _u2203), _u2204) != _u2204) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2202), _u2203), _u2204)) )).
% 12.21/12.44 cnf(matrix-1694, plain, ( ~class_Orderings_Olinorder(_u2205) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), _u2206), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2205), _u2207), _u2206))) )).
% 12.21/12.44 cnf(matrix-1695, plain, ( ~class_Orderings_Olinorder(_u2208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), _u2209), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2208), _u2209), _u2210))) )).
% 12.21/12.44 cnf(matrix-1696, plain, ( ~class_Orderings_Olinorder(_u2211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2211), _u2213), _u2214))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), _u2213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), _u2214)) )).
% 12.21/12.44 cnf(matrix-1697, plain, ( ~class_Orderings_Olinorder(_u2211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2211), _u2213), _u2214))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), _u2213)) )).
% 12.21/12.44 cnf(matrix-1698, plain, ( ~class_Orderings_Olinorder(_u2211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2211), _u2213), _u2214))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2212), _u2214)) )).
% 12.21/12.44 cnf(matrix-1699, plain, ( ~class_Lattices_Oboolean__algebra(_u2215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2215), _u2216), _u2217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2215), hAPP(c_Groups_Ouminus__class_Ouminus(_u2215), _u2217)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2215), _u2216))) )).
% 12.21/12.44 cnf(matrix-1700, plain, ( ~class_Lattices_Oboolean__algebra(_u2218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2218), hAPP(c_Groups_Ouminus__class_Ouminus(_u2218), _u2219)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2218), _u2220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2218), _u2220), _u2219)) )).
% 12.21/12.44 cnf(matrix-1701, plain, ( ~class_Lattices_Oboolean__algebra(_u2218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2218), _u2220), _u2219)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2218), hAPP(c_Groups_Ouminus__class_Ouminus(_u2218), _u2219)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2218), _u2220))) )).
% 12.21/12.44 cnf(matrix-1702, plain, ( ~class_Groups_Oordered__ab__group__add(_u2221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2221), _u2222), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2223))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2221), _u2223), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2222))) )).
% 12.21/12.44 cnf(matrix-1703, plain, ( ~class_Groups_Oordered__ab__group__add(_u2221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2221), _u2223), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2222))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2221), _u2222), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2223))) )).
% 12.21/12.44 cnf(matrix-1704, plain, ( ~class_Groups_Oordered__ab__group__add(_u2224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2224), hAPP(c_Groups_Ouminus__class_Ouminus(_u2224), _u2225)), _u2226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2224), hAPP(c_Groups_Ouminus__class_Ouminus(_u2224), _u2226)), _u2225)) )).
% 12.21/12.44 cnf(matrix-1705, plain, ( ~class_Groups_Oordered__ab__group__add(_u2224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2224), hAPP(c_Groups_Ouminus__class_Ouminus(_u2224), _u2226)), _u2225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2224), hAPP(c_Groups_Ouminus__class_Ouminus(_u2224), _u2225)), _u2226)) )).
% 12.21/12.44 cnf(matrix-1706, plain, ( ~class_Groups_Oordered__ab__group__add(_u2227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2228)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2229))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2229), _u2228)) )).
% 12.21/12.44 cnf(matrix-1707, plain, ( ~class_Groups_Oordered__ab__group__add(_u2227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2229), _u2228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2228)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2229))) )).
% 12.21/12.44 cnf(matrix-1708, plain, ( ~class_Groups_Oordered__ab__group__add(_u2230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), _u2231), _u2232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), hAPP(c_Groups_Ouminus__class_Ouminus(_u2230), _u2232)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2230), _u2231))) )).
% 12.21/12.44 cnf(matrix-1709, plain, ( ~class_Orderings_Olinorder(_u2233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2233), _u2234), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2233), _u2235), _u2236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2233), _u2234), _u2235)) )).
% 12.21/12.44 cnf(matrix-1710, plain, ( ~class_Orderings_Olinorder(_u2233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2233), _u2234), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2233), _u2235), _u2236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2233), _u2234), _u2236)) )).
% 12.21/12.44 cnf(matrix-1711, plain, ( ~class_Orderings_Olinorder(_u2237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2237), _u2238), _u2239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2237), _u2240), _u2241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2237), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2237), _u2238), _u2240)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2237), _u2239), _u2241))) )).
% 12.21/12.44 cnf(matrix-1712, plain, ( ~class_Orderings_Olinorder(_u2242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2242), _u2243), _u2244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2242), _u2243), _u2245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2242), _u2243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2242), _u2244), _u2245))) )).
% 12.21/12.44 cnf(matrix-1713, plain, ( ~class_Orderings_Olinorder(_u2246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2246), _u2247), _u2248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2246), _u2247), _u2249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2246), _u2247), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2246), _u2248), _u2249))) )).
% 12.21/12.44 cnf(matrix-1714, plain, ( ~class_Orderings_Olinorder(_u2250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2250), _u2251), _u2252)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2250), _u2252), _u2251) = _u2251) )).
% 12.21/12.44 cnf(matrix-1715, plain, ( ~class_Orderings_Olinorder(_u2253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2253), _u2254), _u2255)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2253), _u2254), _u2255) = _u2254) )).
% 12.21/12.44 cnf(matrix-1716, plain, ( ~class_Orderings_Olinorder(_u2256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2256), _u2257), _u2258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2256), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2256), _u2259), _u2257)), _u2258)) )).
% 12.21/12.44 cnf(matrix-1717, plain, ( ~class_Orderings_Olinorder(_u2260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), _u2261), _u2262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2260), _u2261), _u2263)), _u2262)) )).
% 12.21/12.44 cnf(matrix-1718, plain, ( ~class_Orderings_Olinorder(_u2264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2264), _u2266), _u2267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2266)) )).
% 12.21/12.44 cnf(matrix-1719, plain, ( ~class_Orderings_Olinorder(_u2264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2264), _u2266), _u2267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2267)) )).
% 12.21/12.44 cnf(matrix-1720, plain, ( ~class_Orderings_Olinorder(_u2264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), _u2267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2264), _u2265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2264), _u2266), _u2267))) )).
% 12.21/12.44 cnf(matrix-1721, plain, ( ~class_Orderings_Olinorder(_u2268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2268), _u2269), _u2270)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2268), _u2269), _u2270) = _u2269) )).
% 12.21/12.44 cnf(matrix-1722, plain, ( ~class_Orderings_Olinorder(_u2268) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2268), _u2269), _u2270) != _u2269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2268), _u2269), _u2270)) )).
% 12.21/12.44 cnf(matrix-1723, plain, ( ~class_Orderings_Olinorder(_u2271) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2271), _u2272), _u2273)), _u2273)) )).
% 12.21/12.44 cnf(matrix-1724, plain, ( ~class_Orderings_Olinorder(_u2274) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2274), _u2275), _u2276)), _u2275)) )).
% 12.21/12.44 cnf(matrix-1725, plain, ( ~class_Orderings_Olinorder(_u2277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2277), _u2278), _u2279)), _u2280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2278), _u2280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2279), _u2280)) )).
% 12.21/12.44 cnf(matrix-1726, plain, ( ~class_Orderings_Olinorder(_u2277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2277), _u2278), _u2279)), _u2280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2278), _u2280)) )).
% 12.21/12.44 cnf(matrix-1727, plain, ( ~class_Orderings_Olinorder(_u2277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2277), _u2278), _u2279)), _u2280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2279), _u2280)) )).
% 12.21/12.44 cnf(matrix-1728, plain, ( ~class_Orderings_Olinorder(_u2281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2281), _u2282), _u2283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2281), _u2282), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2281), _u2284), _u2283))) )).
% 12.21/12.44 cnf(matrix-1729, plain, ( ~class_Orderings_Olinorder(_u2285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2285), _u2286), _u2287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2285), _u2286), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2285), _u2287), _u2288))) )).
% 12.21/12.44 cnf(matrix-1730, plain, ( ~class_Orderings_Olinorder(_u2289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2289), _u2290), _u2291)), _u2292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), _u2290), _u2292)) )).
% 12.21/12.44 cnf(matrix-1731, plain, ( ~class_Orderings_Olinorder(_u2289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2289), _u2290), _u2291)), _u2292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), _u2291), _u2292)) )).
% 12.21/12.44 cnf(matrix-1732, plain, ( ~class_Orderings_Olinorder(_u2289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), _u2290), _u2292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), _u2291), _u2292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2289), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2289), _u2290), _u2291)), _u2292)) )).
% 12.21/12.44 cnf(matrix-1733, plain, ( ~class_Orderings_Olinorder(_u2293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2293), _u2295), _u2296))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), _u2295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), _u2296)) )).
% 12.21/12.44 cnf(matrix-1734, plain, ( ~class_Orderings_Olinorder(_u2293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2293), _u2295), _u2296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), _u2295)) )).
% 12.21/12.44 cnf(matrix-1735, plain, ( ~class_Orderings_Olinorder(_u2293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2293), _u2295), _u2296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2293), _u2294), _u2296)) )).
% 12.21/12.44 cnf(matrix-1736, plain, ( ~class_Groups_Oordered__ab__group__add(_u2297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2297), hAPP(c_Groups_Ouminus__class_Ouminus(_u2297), _u2298)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2297), _u2299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2297), _u2299), _u2298)) )).
% 12.21/12.44 cnf(matrix-1737, plain, ( ~class_Groups_Oordered__ab__group__add(_u2297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2297), _u2299), _u2298)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2297), hAPP(c_Groups_Ouminus__class_Ouminus(_u2297), _u2298)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2297), _u2299))) )).
% 12.21/12.44 cnf(matrix-1738, plain, ( ~class_Groups_Oordered__ab__group__add(_u2300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2300), hAPP(c_Groups_Ouminus__class_Ouminus(_u2300), _u2301)), _u2302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2300), hAPP(c_Groups_Ouminus__class_Ouminus(_u2300), _u2302)), _u2301)) )).
% 12.21/12.44 cnf(matrix-1739, plain, ( ~class_Groups_Oordered__ab__group__add(_u2300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2300), hAPP(c_Groups_Ouminus__class_Ouminus(_u2300), _u2302)), _u2301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2300), hAPP(c_Groups_Ouminus__class_Ouminus(_u2300), _u2301)), _u2302)) )).
% 12.21/12.44 cnf(matrix-1740, plain, ( ~class_Groups_Oordered__ab__group__add(_u2303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2303), _u2304), hAPP(c_Groups_Ouminus__class_Ouminus(_u2303), _u2305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2303), _u2305), hAPP(c_Groups_Ouminus__class_Ouminus(_u2303), _u2304))) )).
% 12.21/12.44 cnf(matrix-1741, plain, ( ~class_Groups_Oordered__ab__group__add(_u2303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2303), _u2305), hAPP(c_Groups_Ouminus__class_Ouminus(_u2303), _u2304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2303), _u2304), hAPP(c_Groups_Ouminus__class_Ouminus(_u2303), _u2305))) )).
% 12.21/12.44 cnf(matrix-1742, plain, ( ~class_Orderings_Olinorder(_u2306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2306), _u2307), _u2308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2306), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2306), _u2309), _u2307)), _u2308)) )).
% 12.21/12.44 cnf(matrix-1743, plain, ( ~class_Orderings_Olinorder(_u2310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2310), _u2311), _u2312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2310), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2310), _u2311), _u2313)), _u2312)) )).
% 12.21/12.44 cnf(matrix-1744, plain, ( ~class_Orderings_Olinorder(_u2314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2314), _u2315), _u2316)), _u2317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), _u2315), _u2317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), _u2316), _u2317)) )).
% 12.21/12.44 cnf(matrix-1745, plain, ( ~class_Orderings_Olinorder(_u2314) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2314), _u2315), _u2316)), _u2317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), _u2315), _u2317)) )).
% 12.21/12.44 cnf(matrix-1746, plain, ( ~class_Orderings_Olinorder(_u2314) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2314), _u2315), _u2316)), _u2317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2314), _u2316), _u2317)) )).
% 12.21/12.44 cnf(matrix-1747, plain, ( ~class_Orderings_Olinorder(_u2318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2318), _u2320), _u2321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), _u2320)) )).
% 12.21/12.44 cnf(matrix-1748, plain, ( ~class_Orderings_Olinorder(_u2318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2318), _u2320), _u2321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), _u2321)) )).
% 12.21/12.44 cnf(matrix-1749, plain, ( ~class_Orderings_Olinorder(_u2318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), _u2320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2318), _u2319), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2318), _u2320), _u2321))) )).
% 12.21/12.44 cnf(matrix-1750, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2322) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2322), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2322), _u2323), _u2324)), _u2325) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2322), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2322), _u2323), _u2325)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2322), _u2324), _u2325))) )).
% 12.21/12.44 cnf(matrix-1751, plain, ( ~class_Groups_Oab__group__add(_u2326) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2326), _u2327), _u2328)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2326), hAPP(c_Groups_Ouminus__class_Ouminus(_u2326), _u2327)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2326), _u2328))) )).
% 12.21/12.44 cnf(matrix-1752, plain, ( ~class_Groups_Ogroup__add(_u2329) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), _u2330), _u2331)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), _u2331)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), _u2330))) )).
% 12.21/12.44 cnf(matrix-1753, plain, ( ~class_Groups_Ogroup__add(_u2332) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2332), _u2333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2332), hAPP(c_Groups_Ouminus__class_Ouminus(_u2332), _u2333)), _u2334)) = _u2334) )).
% 12.21/12.44 cnf(matrix-1754, plain, ( ~class_Groups_Ogroup__add(_u2335) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2335), hAPP(c_Groups_Ouminus__class_Ouminus(_u2335), _u2336)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2335), _u2336), _u2337)) = _u2337) )).
% 12.21/12.44 cnf(matrix-1755, plain, ( ~class_Rings_Oring(_u2338) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2338), _u2339), _u2340)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2338), _u2339), hAPP(c_Groups_Ouminus__class_Ouminus(_u2338), _u2340))) )).
% 12.21/12.44 cnf(matrix-1756, plain, ( ~class_Rings_Oring(_u2341) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2341), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2342), _u2343)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), hAPP(c_Groups_Ouminus__class_Ouminus(_u2341), _u2342)), _u2343)) )).
% 12.21/12.44 cnf(matrix-1757, plain, ( ~class_Rings_Oring(_u2344) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2344), hAPP(c_Groups_Ouminus__class_Ouminus(_u2344), _u2345)), _u2346) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2344), _u2345), hAPP(c_Groups_Ouminus__class_Ouminus(_u2344), _u2346))) )).
% 12.21/12.44 cnf(matrix-1758, plain, ( ~class_Rings_Oring(_u2347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2347), hAPP(c_Groups_Ouminus__class_Ouminus(_u2347), _u2348)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2347), _u2349)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2347), _u2348), _u2349)) )).
% 12.21/12.44 cnf(matrix-1759, plain, ( ~class_Rings_Oidom(_u2350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2351), _u2351) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2352), _u2352)) | ( _u2351 = _u2352) | ( _u2351 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2350), _u2352)) )).
% 12.21/12.44 cnf(matrix-1760, plain, ( ~class_Rings_Oidom(_u2350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2351), _u2351) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2352), _u2352)) | ( _u2351 != _u2352) )).
% 12.21/12.44 cnf(matrix-1761, plain, ( ~class_Rings_Oidom(_u2350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2351), _u2351) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2350), _u2352), _u2352)) | ( _u2351 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2350), _u2352)) )).
% 12.21/12.44 cnf(matrix-1762, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2353) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2353), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2353), _u2354), _u2355)), _u2356) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2353), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2353), _u2354), _u2356)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2353), _u2355), _u2356))) )).
% 12.21/12.44 cnf(matrix-1763, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2357), _u2358), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2357, tc_HOL_Obool)), _u2359))) | ~hBOOL(hAPP(hAPP(c_member(_u2357), _u2358), _u2359)) )).
% 12.21/12.44 cnf(matrix-1764, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2360), _u2361), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2360, tc_HOL_Obool)), _u2362))) | ~hBOOL(hAPP(hAPP(c_member(_u2360), _u2361), _u2362)) )).
% 12.21/12.44 cnf(matrix-1765, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2366), _u2368), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2366, tc_HOL_Obool)), _u2370))) | ~hBOOL(hAPP(hAPP(c_member(_u2366), _u2368), _u2370)) )).
% 12.21/12.44 cnf(matrix-1766, plain, ( hBOOL(hAPP(hAPP(c_member(_u2367), _u2369), _u2371)) | hBOOL(hAPP(hAPP(c_member(_u2367), _u2369), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2367, tc_HOL_Obool)), _u2371))) )).
% 12.21/12.44 cnf(matrix-1767, plain, ( ~class_Orderings_Olinorder(_u2372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2372), _u2373)) | ( c_Big__Operators_Olinorder__class_OMax(_u2372, _u2373) = hAPP(c_Finite__Set_Ofold1(_u2372, c_Orderings_Oord__class_Omax(_u2372)), _u2373)) )).
% 12.21/12.44 cnf(matrix-1768, plain, ( ~class_Orderings_Olinorder(_u2374) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2374), _u2375)) | ( c_Big__Operators_Olinorder__class_OMin(_u2374, _u2375) = hAPP(c_Finite__Set_Ofold1(_u2374, c_Orderings_Oord__class_Omin(_u2374)), _u2375)) )).
% 12.21/12.44 cnf(matrix-1769, plain, ( ~class_Groups_Oordered__ab__group__add(_u2376) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2376), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2376), _u2377), _u2378)), _u2379) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2376), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2376), _u2377), _u2379)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2376), _u2378), _u2379))) )).
% 12.21/12.44 cnf(matrix-1770, plain, ( ~class_Groups_Oab__group__add(_u2380) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2380), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2380), _u2381), _u2382)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2380), _u2382), _u2381)) )).
% 12.21/12.44 cnf(matrix-1771, plain, ( ~class_Groups_Oordered__ab__group__add(_u2383) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2383), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2383), _u2384), _u2385)), _u2386) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2383), _u2384), _u2386)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2383), _u2385), _u2386))) )).
% 12.21/12.44 cnf(matrix-1772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2387, tc_HOL_Obool)), _u2388), _u2389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2387, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2387, tc_HOL_Obool)), _u2389)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2387, tc_HOL_Obool)), _u2388))) )).
% 12.21/12.44 cnf(matrix-1773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2393, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2393, tc_HOL_Obool)), _u2395)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2393, tc_HOL_Obool)), _u2397))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2393, tc_HOL_Obool)), _u2397), _u2395)) )).
% 12.21/12.44 cnf(matrix-1774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2394, tc_HOL_Obool)), _u2398), _u2396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2394, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2394, tc_HOL_Obool)), _u2396)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2394, tc_HOL_Obool)), _u2398))) )).
% 12.21/12.44 cnf(matrix-1775, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2399) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2400, _u2399), hAPP(hAPP(c_COMBS(_u2400, _u2399, _u2399), hAPP(hAPP(c_COMBB(_u2399, tc_fun(_u2399, _u2399), _u2400), c_Groups_Otimes__class_Otimes(_u2399)), _u2401)), _u2402)), _u2403) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2399), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2400, _u2399), _u2401), _u2403)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2400, _u2399), _u2402), _u2403))) )).
% 12.21/12.44 cnf(matrix-1776, plain, ( ~class_Orderings_Olinorder(_u2404) | c_Finite__Set_Ofun__left__comm__idem(_u2404, _u2404, c_Orderings_Oord__class_Omax(_u2404)) )).
% 12.21/12.44 cnf(matrix-1777, plain, ( ~class_Orderings_Olinorder(_u2405) | c_Finite__Set_Ofun__left__comm__idem(_u2405, _u2405, c_Orderings_Oord__class_Omin(_u2405)) )).
% 12.21/12.44 cnf(matrix-1778, plain, ( ~class_Orderings_Olinorder(_u2406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2406), _u2407)) | ~hBOOL(hAPP(hAPP(c_member(_u2406), _u2408), _u2407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2406), hAPP(c_Finite__Set_Ofold1(_u2406, c_Orderings_Oord__class_Omin(_u2406)), _u2407)), _u2408)) )).
% 12.21/12.45 cnf(matrix-1779, plain, ( ~class_Orderings_Olinorder(_u2411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2411), _u2412)) | ( _u2412 = c_Orderings_Obot__class_Obot(tc_fun(_u2411, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Finite__Set_Ofold1(_u2411, c_Orderings_Oord__class_Omin(_u2411)), _u2412)), _u2413)) | hBOOL(hAPP(hAPP(c_member(_u2411), skolem40(_u2413, _u2412, _u2411)), _u2412)) )).
% 12.21/12.45 cnf(matrix-1780, plain, ( ~class_Orderings_Olinorder(_u2411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2411), _u2412)) | ( _u2412 = c_Orderings_Obot__class_Obot(tc_fun(_u2411, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Finite__Set_Ofold1(_u2411, c_Orderings_Oord__class_Omin(_u2411)), _u2412)), _u2413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), skolem40(_u2413, _u2412, _u2411)), _u2413)) )).
% 12.21/12.45 cnf(matrix-1781, plain, ( ~class_Orderings_Olinorder(_u2411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2411), _u2412)) | ( _u2412 = c_Orderings_Obot__class_Obot(tc_fun(_u2411, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2411), _u2410), _u2412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), _u2410), _u2413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Finite__Set_Ofold1(_u2411, c_Orderings_Oord__class_Omin(_u2411)), _u2412)), _u2413)) )).
% 12.21/12.45 cnf(matrix-1782, plain, ( ~class_Orderings_Olinorder(_u2416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2416), _u2417)) | ( _u2417 = c_Orderings_Obot__class_Obot(tc_fun(_u2416, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), hAPP(c_Finite__Set_Ofold1(_u2416, c_Orderings_Oord__class_Omin(_u2416)), _u2417))) | ~hBOOL(hAPP(hAPP(c_member(_u2416), _u2414), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), _u2414)) )).
% 12.21/12.45 cnf(matrix-1783, plain, ( ~class_Orderings_Olinorder(_u2416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2416), _u2417)) | ( _u2417 = c_Orderings_Obot__class_Obot(tc_fun(_u2416, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), hAPP(c_Finite__Set_Ofold1(_u2416, c_Orderings_Oord__class_Omin(_u2416)), _u2417))) | hBOOL(hAPP(hAPP(c_member(_u2416), skolem41(_u2418, _u2417, _u2416)), _u2417)) )).
% 12.21/12.45 cnf(matrix-1784, plain, ( ~class_Orderings_Olinorder(_u2416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2416), _u2417)) | ( _u2417 = c_Orderings_Obot__class_Obot(tc_fun(_u2416, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), hAPP(c_Finite__Set_Ofold1(_u2416, c_Orderings_Oord__class_Omin(_u2416)), _u2417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2416), _u2418), skolem41(_u2418, _u2417, _u2416))) )).
% 12.21/12.45 cnf(matrix-1785, plain, ( ~class_Groups_Oab__group__add(_u2419) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2420, _u2419), hAPP(hAPP(c_COMBB(_u2419, _u2419, _u2420), c_Groups_Ouminus__class_Ouminus(_u2419)), _u2421)), _u2422) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2419), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2420, _u2419), _u2421), _u2422))) )).
% 12.21/12.45 cnf(matrix-1786, plain, ( ~class_Orderings_Olinorder(_u2425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2425), _u2426)) | ( _u2426 = c_Orderings_Obot__class_Obot(tc_fun(_u2425, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), hAPP(c_Finite__Set_Ofold1(_u2425, c_Orderings_Oord__class_Omin(_u2425)), _u2426)), _u2427)) | hBOOL(hAPP(hAPP(c_member(_u2425), skolem42(_u2427, _u2426, _u2425)), _u2426)) )).
% 12.21/12.45 cnf(matrix-1787, plain, ( ~class_Orderings_Olinorder(_u2425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2425), _u2426)) | ( _u2426 = c_Orderings_Obot__class_Obot(tc_fun(_u2425, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), hAPP(c_Finite__Set_Ofold1(_u2425, c_Orderings_Oord__class_Omin(_u2425)), _u2426)), _u2427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), skolem42(_u2427, _u2426, _u2425)), _u2427)) )).
% 12.21/12.45 cnf(matrix-1788, plain, ( ~class_Orderings_Olinorder(_u2425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2425), _u2426)) | ( _u2426 = c_Orderings_Obot__class_Obot(tc_fun(_u2425, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2425), _u2424), _u2426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), _u2424), _u2427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2425), hAPP(c_Finite__Set_Ofold1(_u2425, c_Orderings_Oord__class_Omin(_u2425)), _u2426)), _u2427)) )).
% 12.21/12.45 cnf(matrix-1789, plain, ( ~class_Orderings_Olinorder(_u2430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2430), _u2431)) | ( _u2431 = c_Orderings_Obot__class_Obot(tc_fun(_u2430, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), hAPP(c_Finite__Set_Ofold1(_u2430, c_Orderings_Oord__class_Omin(_u2430)), _u2431))) | ~hBOOL(hAPP(hAPP(c_member(_u2430), _u2428), _u2431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), _u2428)) )).
% 12.21/12.45 cnf(matrix-1790, plain, ( ~class_Orderings_Olinorder(_u2430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2430), _u2431)) | ( _u2431 = c_Orderings_Obot__class_Obot(tc_fun(_u2430, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), hAPP(c_Finite__Set_Ofold1(_u2430, c_Orderings_Oord__class_Omin(_u2430)), _u2431))) | hBOOL(hAPP(hAPP(c_member(_u2430), skolem43(_u2432, _u2431, _u2430)), _u2431)) )).
% 12.21/12.45 cnf(matrix-1791, plain, ( ~class_Orderings_Olinorder(_u2430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2430), _u2431)) | ( _u2431 = c_Orderings_Obot__class_Obot(tc_fun(_u2430, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), hAPP(c_Finite__Set_Ofold1(_u2430, c_Orderings_Oord__class_Omin(_u2430)), _u2431))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2432), skolem43(_u2432, _u2431, _u2430))) )).
% 12.21/12.45 cnf(matrix-1792, plain, ( ~class_Orderings_Olinorder(_u2433) | ( _u2434 = c_Orderings_Obot__class_Obot(tc_fun(_u2433, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2433, tc_HOL_Obool)), _u2434), _u2435)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2433), _u2435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2433), hAPP(c_Finite__Set_Ofold1(_u2433, c_Orderings_Oord__class_Omin(_u2433)), _u2435)), hAPP(c_Finite__Set_Ofold1(_u2433, c_Orderings_Oord__class_Omin(_u2433)), _u2434))) )).
% 12.21/12.45 cnf(matrix-1793, plain, ( ~class_Groups_Ogroup__add(_u2436) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2436), _u2437), _u2438) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2436), _u2437), hAPP(c_Groups_Ouminus__class_Ouminus(_u2436), _u2438))) )).
% 12.21/12.45 cnf(matrix-1794, plain, ( ~class_Groups_Oab__group__add(_u2439) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2439), _u2440), _u2441) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2439), _u2440), hAPP(c_Groups_Ouminus__class_Ouminus(_u2439), _u2441))) )).
% 12.21/12.45 cnf(matrix-1795, plain, ( ~class_Groups_Ogroup__add(_u2442) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2442), _u2443), hAPP(c_Groups_Ouminus__class_Ouminus(_u2442), _u2444)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2442), _u2443), _u2444)) )).
% 12.21/12.45 cnf(matrix-1796, plain, ( ~class_Rings_Ocomm__ring__1(_u2445) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2445), _u2446), _u2447) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2445), _u2446), hAPP(c_Groups_Ouminus__class_Ouminus(_u2445), _u2447))) )).
% 12.21/12.45 cnf(matrix-1797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2450, tc_HOL_Obool)), _u2452), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2450, tc_HOL_Obool)), _u2452))) | ( _u2452 = c_Orderings_Obot__class_Obot(tc_fun(_u2450, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-1798, plain, ( ( _u2453 != c_Orderings_Obot__class_Obot(tc_fun(_u2451, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2451, tc_HOL_Obool)), _u2453), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2451, tc_HOL_Obool)), _u2453))) )).
% 12.21/12.45 cnf(matrix-1799, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2454) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2455), _u2456)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2455, _u2454), hAPP(hAPP(c_COMBS(_u2455, _u2454, _u2454), hAPP(hAPP(c_COMBB(_u2454, tc_fun(_u2454, _u2454), _u2455), c_Groups_Otimes__class_Otimes(_u2454)), _u2457)), _u2458)), _u2456) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2454), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2455, _u2454), _u2457), _u2456)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2455, _u2454), _u2458), _u2456))) )).
% 12.21/12.45 cnf(matrix-1800, plain, ( ( _u2459 != c_Finite__Set_Ofold1(_u2460, _u2461)) | ( hAPP(_u2459, hAPP(hAPP(c_Set_Oinsert(_u2460), _u2462), c_Orderings_Obot__class_Obot(tc_fun(_u2460, tc_HOL_Obool)))) = _u2462) )).
% 12.21/12.45 cnf(matrix-1801, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u2463, _u2464), hAPP(hAPP(c_Set_Oinsert(_u2463), _u2465), c_Orderings_Obot__class_Obot(tc_fun(_u2463, tc_HOL_Obool)))) = _u2465) )).
% 12.21/12.45 cnf(matrix-1802, plain, ( ~c_Finite__Set_Ofolding__one(_u2466, _u2467, _u2468) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2466), _u2469)) | ( hAPP(_u2468, _u2469) = hAPP(c_Finite__Set_Ofold1(_u2466, _u2467), _u2469)) )).
% 12.21/12.45 cnf(matrix-1803, plain, ( ~class_Orderings_Olinorder(_u2470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2470), _u2471)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2470, _u2470, c_Orderings_Oord__class_Omax(_u2470)), _u2472), hAPP(hAPP(c_Set_Oinsert(_u2470), _u2473), _u2471)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2470), _u2473), hAPP(hAPP(c_Finite__Set_Ofold(_u2470, _u2470, c_Orderings_Oord__class_Omax(_u2470)), _u2472), _u2471))) )).
% 12.21/12.45 cnf(matrix-1804, plain, ( ~class_Orderings_Olinorder(_u2474) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2474), _u2475)) | ~hBOOL(hAPP(hAPP(c_member(_u2474), _u2476), _u2475)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2474), _u2476), c_Big__Operators_Olinorder__class_OMax(_u2474, _u2475)) = c_Big__Operators_Olinorder__class_OMax(_u2474, _u2475)) )).
% 12.21/12.45 cnf(matrix-1805, plain, ( ~class_Orderings_Olinorder(_u2477) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2477), _u2478)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2477, _u2477, c_Orderings_Oord__class_Omin(_u2477)), _u2479), hAPP(hAPP(c_Set_Oinsert(_u2477), _u2480), _u2478)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2477), _u2480), hAPP(hAPP(c_Finite__Set_Ofold(_u2477, _u2477, c_Orderings_Oord__class_Omin(_u2477)), _u2479), _u2478))) )).
% 12.21/12.45 cnf(matrix-1806, plain, ( ~class_Orderings_Olinorder(_u2481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2481), _u2482)) | ~hBOOL(hAPP(hAPP(c_member(_u2481), _u2483), _u2482)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2481), _u2483), c_Big__Operators_Olinorder__class_OMin(_u2481, _u2482)) = c_Big__Operators_Olinorder__class_OMin(_u2481, _u2482)) )).
% 12.21/12.45 cnf(matrix-1807, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u2484, _u2485), _u2486) = c_HOL_OThe(_u2484, c_Finite__Set_Ofold1Set(_u2484, _u2485, _u2486))) )).
% 12.21/12.45 cnf(matrix-1808, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2487) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2488), _u2489)) | hBOOL(hAPP(hAPP(c_member(_u2488), _u2490), _u2489)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2488, _u2487), _u2491), hAPP(hAPP(c_Set_Oinsert(_u2488), _u2490), _u2489)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2487), hAPP(_u2491, _u2490)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2488, _u2487), _u2491), _u2489))) )).
% 12.21/12.45 cnf(matrix-1809, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2492) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2493), _u2494)) | hBOOL(hAPP(hAPP(c_member(_u2493), _u2495), _u2494)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2493, _u2492), _u2496), hAPP(hAPP(c_Set_Oinsert(_u2493), _u2495), _u2494)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2492), hAPP(_u2496, _u2495)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2493, _u2492), _u2496), _u2494))) )).
% 12.21/12.45 cnf(matrix-1810, plain, ( ~class_Orderings_Olinorder(_u2497) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2497), _u2498)) | ~hBOOL(hAPP(hAPP(c_member(_u2497), _u2499), _u2498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2497), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2497), _u2499), _u2500)), hAPP(hAPP(c_Finite__Set_Ofold(_u2497, _u2497, c_Orderings_Oord__class_Omax(_u2497)), _u2500), _u2498))) )).
% 12.21/12.45 cnf(matrix-1811, plain, ( ~class_Orderings_Olinorder(_u2501) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2501), _u2502)) | ~hBOOL(hAPP(hAPP(c_member(_u2501), _u2503), _u2502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(hAPP(c_Finite__Set_Ofold(_u2501, _u2501, c_Orderings_Oord__class_Omin(_u2501)), _u2504), _u2502)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2501), _u2503), _u2504))) )).
% 12.21/12.45 cnf(matrix-1812, plain, ( ~class_Orderings_Olinorder(_u2505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2505), _u2506)) | ( _u2506 = c_Orderings_Obot__class_Obot(tc_fun(_u2505, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2505, hAPP(hAPP(c_Set_Oinsert(_u2505), _u2507), _u2506)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2505), _u2507), c_Big__Operators_Olinorder__class_OMax(_u2505, _u2506))) )).
% 12.21/12.45 cnf(matrix-1813, plain, ( ~class_Orderings_Olinorder(_u2508) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2508), _u2509)) | ( _u2509 = c_Orderings_Obot__class_Obot(tc_fun(_u2508, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2508, hAPP(hAPP(c_Set_Oinsert(_u2508), _u2510), _u2509)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2508), _u2510), c_Big__Operators_Olinorder__class_OMin(_u2508, _u2509))) )).
% 12.21/12.45 cnf(matrix-1814, plain, ( ~class_Orderings_Olinorder(_u2511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2511), _u2512)) | ( _u2513 = c_Orderings_Obot__class_Obot(tc_fun(_u2511, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2511, tc_HOL_Obool)), _u2513), _u2512)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2511), c_Big__Operators_Olinorder__class_OMax(_u2511, _u2513)), c_Big__Operators_Olinorder__class_OMax(_u2511, _u2512)) = c_Big__Operators_Olinorder__class_OMax(_u2511, _u2512)) )).
% 12.21/12.45 cnf(matrix-1815, plain, ( ~class_Orderings_Olinorder(_u2514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2514), _u2515)) | ( _u2516 = c_Orderings_Obot__class_Obot(tc_fun(_u2514, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2514, tc_HOL_Obool)), _u2516), _u2515)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2514), c_Big__Operators_Olinorder__class_OMin(_u2514, _u2516)), c_Big__Operators_Olinorder__class_OMin(_u2514, _u2515)) = c_Big__Operators_Olinorder__class_OMin(_u2514, _u2515)) )).
% 12.21/12.45 cnf(matrix-1816, plain, ( ~class_Orderings_Olinorder(_u2517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2517), _u2518)) | ( c_Big__Operators_Olinorder__class_OMax(_u2517, hAPP(hAPP(c_Set_Oinsert(_u2517), _u2519), _u2518)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2517, _u2517, c_Orderings_Oord__class_Omax(_u2517)), _u2519), _u2518)) )).
% 12.21/12.45 cnf(matrix-1817, plain, ( ~class_Orderings_Olinorder(_u2520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2520), _u2521)) | ( c_Big__Operators_Olinorder__class_OMin(_u2520, hAPP(hAPP(c_Set_Oinsert(_u2520), _u2522), _u2521)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2520, _u2520, c_Orderings_Oord__class_Omin(_u2520)), _u2522), _u2521)) )).
% 12.21/12.45 cnf(matrix-1818, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2524), _u2525)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2524, _u2523), _u2526), hAPP(hAPP(c_Set_Oinsert(_u2524), _u2527), _u2525)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2523), hAPP(_u2526, _u2527)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2524, _u2523), _u2526), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2524, tc_HOL_Obool)), _u2525), hAPP(hAPP(c_Set_Oinsert(_u2524), _u2527), c_Orderings_Obot__class_Obot(tc_fun(_u2524, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-1819, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2528) | ( _u2529 = c_Orderings_Obot__class_Obot(tc_fun(_u2528, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2528), _u2529)) | ( hAPP(c_Finite__Set_Ofold1(_u2528, c_Groups_Otimes__class_Otimes(_u2528)), hAPP(hAPP(c_Set_Oinsert(_u2528), _u2530), _u2529)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2528), _u2530), hAPP(c_Finite__Set_Ofold1(_u2528, c_Groups_Otimes__class_Otimes(_u2528)), _u2529))) )).
% 12.21/12.45 cnf(matrix-1820, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2531) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2531), _u2532)) | ( hAPP(c_Finite__Set_Ofold1(_u2531, c_Groups_Otimes__class_Otimes(_u2531)), hAPP(hAPP(c_Set_Oinsert(_u2531), _u2533), _u2532)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2531, _u2531, c_Groups_Otimes__class_Otimes(_u2531)), _u2533), _u2532)) )).
% 12.21/12.45 cnf(matrix-1821, plain, ( ~class_Orderings_Olinorder(_u2534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2534), _u2535)) | hBOOL(hAPP(hAPP(c_member(_u2534), _u2536), _u2535)) | ( _u2535 = c_Orderings_Obot__class_Obot(tc_fun(_u2534, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2534, hAPP(hAPP(c_Set_Oinsert(_u2534), _u2536), _u2535)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2534), _u2536), c_Big__Operators_Olinorder__class_OMax(_u2534, _u2535))) )).
% 12.21/12.45 cnf(matrix-1822, plain, ( ~class_Orderings_Olinorder(_u2537) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2537), _u2538)) | hBOOL(hAPP(hAPP(c_member(_u2537), _u2539), _u2538)) | ( _u2538 = c_Orderings_Obot__class_Obot(tc_fun(_u2537, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2537, hAPP(hAPP(c_Set_Oinsert(_u2537), _u2539), _u2538)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2537), _u2539), c_Big__Operators_Olinorder__class_OMin(_u2537, _u2538))) )).
% 12.21/12.45 cnf(matrix-1823, plain, ( ~class_Orderings_Olinorder(_u2540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2540), _u2541)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2540, tc_HOL_Obool)), _u2541), hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2540, hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), _u2541)) = _u2542) )).
% 12.21/12.45 cnf(matrix-1824, plain, ( ~class_Orderings_Olinorder(_u2540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2540), _u2541)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2540, tc_HOL_Obool)), _u2541), hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2540, hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), _u2541)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2540), _u2542), c_Big__Operators_Olinorder__class_OMax(_u2540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2540, tc_HOL_Obool)), _u2541), hAPP(hAPP(c_Set_Oinsert(_u2540), _u2542), c_Orderings_Obot__class_Obot(tc_fun(_u2540, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-1825, plain, ( ~class_Orderings_Olinorder(_u2543) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2543), _u2544)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2543, tc_HOL_Obool)), _u2544), hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2543, hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), _u2544)) = _u2545) )).
% 12.21/12.45 cnf(matrix-1826, plain, ( ~class_Orderings_Olinorder(_u2543) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2543), _u2544)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2543, tc_HOL_Obool)), _u2544), hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2543, hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), _u2544)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2543), _u2545), c_Big__Operators_Olinorder__class_OMin(_u2543, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2543, tc_HOL_Obool)), _u2544), hAPP(hAPP(c_Set_Oinsert(_u2543), _u2545), c_Orderings_Obot__class_Obot(tc_fun(_u2543, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-1827, plain, ( ~class_Orderings_Olinorder(_u2546) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2546), _u2547)) | hBOOL(hAPP(hAPP(c_member(_u2546), _u2548), _u2547)) | ( c_Big__Operators_Olinorder__class_OMax(_u2546, hAPP(hAPP(c_Set_Oinsert(_u2546), _u2548), _u2547)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2546, _u2546, c_Orderings_Oord__class_Omax(_u2546)), _u2548), _u2547)) )).
% 12.21/12.45 cnf(matrix-1828, plain, ( ~class_Orderings_Olinorder(_u2549) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2549), _u2550)) | hBOOL(hAPP(hAPP(c_member(_u2549), _u2551), _u2550)) | ( c_Big__Operators_Olinorder__class_OMin(_u2549, hAPP(hAPP(c_Set_Oinsert(_u2549), _u2551), _u2550)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2549, _u2549, c_Orderings_Oord__class_Omin(_u2549)), _u2551), _u2550)) )).
% 12.21/12.45 cnf(matrix-1829, plain, ( ~c_Big__Operators_Osemilattice__big(_u2552, _u2553, _u2554) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2552), _u2555)) | ( hAPP(_u2554, _u2555) = hAPP(c_Finite__Set_Ofold1(_u2552, _u2553), _u2555)) )).
% 12.21/12.45 cnf(matrix-1830, plain, ( ~class_Orderings_Olinorder(_u2556) | ( c_Orderings_Oord_Omin(_u2556, hAPP(c_COMBC(_u2556, _u2556, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u2556))) = c_Orderings_Oord__class_Omax(_u2556)) )).
% 12.21/12.45 cnf(matrix-1831, plain, ( ~class_Orderings_Olinorder(_u2557) | ( c_Orderings_Oord_Omax(_u2557, hAPP(c_COMBC(_u2557, _u2557, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u2557))) = c_Orderings_Oord__class_Omin(_u2557)) )).
% 12.21/12.45 cnf(matrix-1832, plain, ( ~class_Orderings_Oord(_u2558) | ( c_Orderings_Oord__class_Omax(_u2558) = c_Orderings_Oord_Omax(_u2558, c_Orderings_Oord__class_Oless__eq(_u2558))) )).
% 12.21/12.45 cnf(matrix-1833, plain, ( ~class_Orderings_Oord(_u2559) | ( c_Orderings_Oord__class_Omin(_u2559) = c_Orderings_Oord_Omin(_u2559, c_Orderings_Oord__class_Oless__eq(_u2559))) )).
% 12.21/12.45 cnf(matrix-1834, plain, ( ~class_Orderings_Olinorder(_u2562) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2562), _u2563)) | ( _u2563 = c_Orderings_Obot__class_Obot(tc_fun(_u2562, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2562), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2562), skolem44(_u2563, _u2562)), skolem45(_u2563, _u2562))), hAPP(hAPP(c_Set_Oinsert(_u2562), skolem44(_u2563, _u2562)), hAPP(hAPP(c_Set_Oinsert(_u2562), skolem45(_u2563, _u2562)), c_Orderings_Obot__class_Obot(tc_fun(_u2562, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2562), c_Big__Operators_Olinorder__class_OMax(_u2562, _u2563)), _u2563)) )).
% 12.21/12.45 cnf(matrix-1835, plain, ( ~class_Orderings_Olinorder(_u2566) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2566), _u2567)) | ( _u2567 = c_Orderings_Obot__class_Obot(tc_fun(_u2566, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2566), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2566), skolem46(_u2567, _u2566)), skolem47(_u2567, _u2566))), hAPP(hAPP(c_Set_Oinsert(_u2566), skolem46(_u2567, _u2566)), hAPP(hAPP(c_Set_Oinsert(_u2566), skolem47(_u2567, _u2566)), c_Orderings_Obot__class_Obot(tc_fun(_u2566, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2566), c_Big__Operators_Olinorder__class_OMin(_u2566, _u2567)), _u2567)) )).
% 12.21/12.45 cnf(matrix-1836, plain, ( ~class_Groups_Oab__semigroup__mult(_u2570) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2570), _u2571)) | ( _u2571 = c_Orderings_Obot__class_Obot(tc_fun(_u2570, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2570), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2570), skolem48(_u2571, _u2570)), skolem49(_u2571, _u2570))), hAPP(hAPP(c_Set_Oinsert(_u2570), skolem48(_u2571, _u2570)), hAPP(hAPP(c_Set_Oinsert(_u2570), skolem49(_u2571, _u2570)), c_Orderings_Obot__class_Obot(tc_fun(_u2570, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2570), hAPP(c_Finite__Set_Ofold1(_u2570, c_Groups_Otimes__class_Otimes(_u2570)), _u2571)), _u2571)) )).
% 12.21/12.45 cnf(matrix-1837, plain, ( ~class_Orderings_Olinorder(_u2572) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2572), _u2573)) | ~hBOOL(hAPP(hAPP(c_member(_u2572), _u2574), _u2573)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool)), _u2573), hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2572, c_Orderings_Oord__class_Omax(_u2572), _u2573) = _u2574) )).
% 12.21/12.45 cnf(matrix-1838, plain, ( ~class_Orderings_Olinorder(_u2572) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2572), _u2573)) | ~hBOOL(hAPP(hAPP(c_member(_u2572), _u2574), _u2573)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool)), _u2573), hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2572, c_Orderings_Oord__class_Omax(_u2572), _u2573) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2572), _u2574), c_Big__Operators_Olattice_OSup__fin(_u2572, c_Orderings_Oord__class_Omax(_u2572), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool)), _u2573), hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-1839, plain, ( ~class_Orderings_Olinorder(_u2575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2575), _u2576)) | ~hBOOL(hAPP(hAPP(c_member(_u2575), _u2577), _u2576)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2575, tc_HOL_Obool)), _u2576), hAPP(hAPP(c_Set_Oinsert(_u2575), _u2577), c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2575, c_Orderings_Oord__class_Omin(_u2575), _u2576) = _u2577) )).
% 12.21/12.45 cnf(matrix-1840, plain, ( ~class_Orderings_Olinorder(_u2575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2575), _u2576)) | ~hBOOL(hAPP(hAPP(c_member(_u2575), _u2577), _u2576)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2575, tc_HOL_Obool)), _u2576), hAPP(hAPP(c_Set_Oinsert(_u2575), _u2577), c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2575, c_Orderings_Oord__class_Omin(_u2575), _u2576) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2575), _u2577), c_Big__Operators_Olattice_OInf__fin(_u2575, c_Orderings_Oord__class_Omin(_u2575), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2575, tc_HOL_Obool)), _u2576), hAPP(hAPP(c_Set_Oinsert(_u2575), _u2577), c_Orderings_Obot__class_Obot(tc_fun(_u2575, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-1841, plain, ( ( _u2583 = _u2585) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2581, tc_HOL_Obool)), _u2583) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2581, tc_HOL_Obool)), _u2585)) )).
% 12.21/12.45 cnf(matrix-1842, plain, ( ( _u2584 != _u2586) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2582, tc_HOL_Obool)), _u2584) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2582, tc_HOL_Obool)), _u2586)) )).
% 12.21/12.45 cnf(matrix-1843, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2587, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2587, tc_HOL_Obool)), _u2588)) = _u2588) )).
% 12.21/12.45 cnf(matrix-1844, plain, ( ~class_Orderings_Olinorder(_u2589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2589), _u2590)) | ( _u2590 = c_Orderings_Obot__class_Obot(tc_fun(_u2589, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2589), c_Big__Operators_Olattice_OInf__fin(_u2589, c_Orderings_Oord__class_Omin(_u2589), _u2590)), c_Big__Operators_Olattice_OSup__fin(_u2589, c_Orderings_Oord__class_Omax(_u2589), _u2590))) )).
% 12.21/12.45 cnf(matrix-1845, plain, ( ~class_Orderings_Olinorder(_u2591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), _u2592)) | ~hBOOL(hAPP(hAPP(c_member(_u2591), _u2593), _u2592)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2591), _u2593), c_Big__Operators_Olattice_OInf__fin(_u2591, c_Orderings_Oord__class_Omin(_u2591), _u2592)) = c_Big__Operators_Olattice_OInf__fin(_u2591, c_Orderings_Oord__class_Omin(_u2591), _u2592)) )).
% 12.21/12.45 cnf(matrix-1846, plain, ( ~class_Orderings_Olinorder(_u2594) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2594), _u2595)) | ~hBOOL(hAPP(hAPP(c_member(_u2594), _u2596), _u2595)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2594), _u2596), c_Big__Operators_Olattice_OSup__fin(_u2594, c_Orderings_Oord__class_Omax(_u2594), _u2595)) = c_Big__Operators_Olattice_OSup__fin(_u2594, c_Orderings_Oord__class_Omax(_u2594), _u2595)) )).
% 12.21/12.45 cnf(matrix-1847, plain, ( ~class_Orderings_Olinorder(_u2597) | ( c_Big__Operators_Olattice_OInf__fin(_u2597, c_Orderings_Oord__class_Omin(_u2597), hAPP(hAPP(c_Set_Oinsert(_u2597), _u2598), c_Orderings_Obot__class_Obot(tc_fun(_u2597, tc_HOL_Obool)))) = _u2598) )).
% 12.21/12.45 cnf(matrix-1848, plain, ( ~class_Orderings_Olinorder(_u2599) | ( c_Big__Operators_Olattice_OSup__fin(_u2599, c_Orderings_Oord__class_Omax(_u2599), hAPP(hAPP(c_Set_Oinsert(_u2599), _u2600), c_Orderings_Obot__class_Obot(tc_fun(_u2599, tc_HOL_Obool)))) = _u2600) )).
% 12.21/12.45 cnf(matrix-1849, plain, ( ~class_Orderings_Olinorder(_u2601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2601), _u2602)) | ( c_Big__Operators_Olattice_OInf__fin(_u2601, c_Orderings_Oord__class_Omin(_u2601), _u2602) = hAPP(c_Finite__Set_Ofold1(_u2601, c_Orderings_Oord__class_Omin(_u2601)), _u2602)) )).
% 12.21/12.45 cnf(matrix-1850, plain, ( ~class_Orderings_Olinorder(_u2603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2603), _u2604)) | ( c_Big__Operators_Olattice_OSup__fin(_u2603, c_Orderings_Oord__class_Omax(_u2603), _u2604) = hAPP(c_Finite__Set_Ofold1(_u2603, c_Orderings_Oord__class_Omax(_u2603)), _u2604)) )).
% 12.21/12.45 cnf(matrix-1851, plain, ( ~class_Orderings_Olinorder(_u2605) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2605), _u2606)) | ( _u2606 = c_Orderings_Obot__class_Obot(tc_fun(_u2605, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2605, c_Orderings_Oord__class_Omin(_u2605), hAPP(hAPP(c_Set_Oinsert(_u2605), _u2607), _u2606)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2605), _u2607), c_Big__Operators_Olattice_OInf__fin(_u2605, c_Orderings_Oord__class_Omin(_u2605), _u2606))) )).
% 12.21/12.45 cnf(matrix-1852, plain, ( ~class_Orderings_Olinorder(_u2608) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2608), _u2609)) | ( _u2609 = c_Orderings_Obot__class_Obot(tc_fun(_u2608, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2608, c_Orderings_Oord__class_Omax(_u2608), hAPP(hAPP(c_Set_Oinsert(_u2608), _u2610), _u2609)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2608), _u2610), c_Big__Operators_Olattice_OSup__fin(_u2608, c_Orderings_Oord__class_Omax(_u2608), _u2609))) )).
% 12.21/12.45 cnf(matrix-1853, plain, ( ~class_Orderings_Olinorder(_u2611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2611), _u2612)) | ( _u2613 = c_Orderings_Obot__class_Obot(tc_fun(_u2611, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2611, tc_HOL_Obool)), _u2613), _u2612)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2611), c_Big__Operators_Olattice_OInf__fin(_u2611, c_Orderings_Oord__class_Omin(_u2611), _u2613)), c_Big__Operators_Olattice_OInf__fin(_u2611, c_Orderings_Oord__class_Omin(_u2611), _u2612)) = c_Big__Operators_Olattice_OInf__fin(_u2611, c_Orderings_Oord__class_Omin(_u2611), _u2612)) )).
% 12.21/12.45 cnf(matrix-1854, plain, ( ~class_Orderings_Olinorder(_u2614) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2614), _u2615)) | ( _u2616 = c_Orderings_Obot__class_Obot(tc_fun(_u2614, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2614, tc_HOL_Obool)), _u2616), _u2615)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2614), c_Big__Operators_Olattice_OSup__fin(_u2614, c_Orderings_Oord__class_Omax(_u2614), _u2616)), c_Big__Operators_Olattice_OSup__fin(_u2614, c_Orderings_Oord__class_Omax(_u2614), _u2615)) = c_Big__Operators_Olattice_OSup__fin(_u2614, c_Orderings_Oord__class_Omax(_u2614), _u2615)) )).
% 12.21/12.45 cnf(matrix-1855, plain, ( ~class_Orderings_Olinorder(_u2617) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2617), _u2618)) | ~hBOOL(hAPP(hAPP(c_member(_u2617), _u2619), _u2618)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2617), _u2619), c_Big__Operators_Olattice_OSup__fin(_u2617, c_Orderings_Oord__class_Omax(_u2617), _u2618)) = _u2619) )).
% 12.21/12.45 cnf(matrix-1856, plain, ( ~class_Orderings_Olinorder(_u2620) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2620), _u2621)) | ~hBOOL(hAPP(hAPP(c_member(_u2620), _u2622), _u2621)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2620), _u2622), c_Big__Operators_Olattice_OInf__fin(_u2620, c_Orderings_Oord__class_Omin(_u2620), _u2621)) = _u2622) )).
% 12.21/12.45 cnf(matrix-1857, plain, ( ~class_Orderings_Olinorder(_u2623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2623), _u2624)) | ( c_Big__Operators_Olattice_OInf__fin(_u2623, c_Orderings_Oord__class_Omin(_u2623), hAPP(hAPP(c_Set_Oinsert(_u2623), _u2625), _u2624)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2623, _u2623, c_Orderings_Oord__class_Omin(_u2623)), _u2625), _u2624)) )).
% 12.21/12.45 cnf(matrix-1858, plain, ( ~class_Orderings_Olinorder(_u2626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2626), _u2627)) | ( c_Big__Operators_Olattice_OSup__fin(_u2626, c_Orderings_Oord__class_Omax(_u2626), hAPP(hAPP(c_Set_Oinsert(_u2626), _u2628), _u2627)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2626, _u2626, c_Orderings_Oord__class_Omax(_u2626)), _u2628), _u2627)) )).
% 12.21/12.45 cnf(matrix-1859, plain, ( ~class_Orderings_Olinorder(_u2629) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2629), _u2630)) | hBOOL(hAPP(hAPP(c_member(_u2629), _u2631), _u2630)) | ( _u2630 = c_Orderings_Obot__class_Obot(tc_fun(_u2629, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2629, c_Orderings_Oord__class_Omin(_u2629), hAPP(hAPP(c_Set_Oinsert(_u2629), _u2631), _u2630)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2629), _u2631), c_Big__Operators_Olattice_OInf__fin(_u2629, c_Orderings_Oord__class_Omin(_u2629), _u2630))) )).
% 12.21/12.45 cnf(matrix-1860, plain, ( ~class_Orderings_Olinorder(_u2632) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2632), _u2633)) | hBOOL(hAPP(hAPP(c_member(_u2632), _u2634), _u2633)) | ( _u2633 = c_Orderings_Obot__class_Obot(tc_fun(_u2632, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2632, c_Orderings_Oord__class_Omax(_u2632), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2634), _u2633)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2632), _u2634), c_Big__Operators_Olattice_OSup__fin(_u2632, c_Orderings_Oord__class_Omax(_u2632), _u2633))) )).
% 12.21/12.45 cnf(matrix-1861, plain, ( ~class_Orderings_Olinorder(_u2635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), _u2636)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2635, tc_HOL_Obool)), _u2636), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2635, c_Orderings_Oord__class_Omin(_u2635), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), _u2636)) = _u2637) )).
% 12.21/12.45 cnf(matrix-1862, plain, ( ~class_Orderings_Olinorder(_u2635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), _u2636)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2635, tc_HOL_Obool)), _u2636), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2635, c_Orderings_Oord__class_Omin(_u2635), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), _u2636)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2635), _u2637), c_Big__Operators_Olattice_OInf__fin(_u2635, c_Orderings_Oord__class_Omin(_u2635), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2635, tc_HOL_Obool)), _u2636), hAPP(hAPP(c_Set_Oinsert(_u2635), _u2637), c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-1863, plain, ( ~class_Orderings_Olinorder(_u2638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2638), _u2639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2638, tc_HOL_Obool)), _u2639), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2638, c_Orderings_Oord__class_Omax(_u2638), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), _u2639)) = _u2640) )).
% 12.21/12.45 cnf(matrix-1864, plain, ( ~class_Orderings_Olinorder(_u2638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2638), _u2639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2638, tc_HOL_Obool)), _u2639), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2638, c_Orderings_Oord__class_Omax(_u2638), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), _u2639)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2638), _u2640), c_Big__Operators_Olattice_OSup__fin(_u2638, c_Orderings_Oord__class_Omax(_u2638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2638, tc_HOL_Obool)), _u2639), hAPP(hAPP(c_Set_Oinsert(_u2638), _u2640), c_Orderings_Obot__class_Obot(tc_fun(_u2638, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-1865, plain, ( ~class_Orderings_Olinorder(_u2641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), _u2642)) | hBOOL(hAPP(hAPP(c_member(_u2641), _u2643), _u2642)) | ( c_Big__Operators_Olattice_OInf__fin(_u2641, c_Orderings_Oord__class_Omin(_u2641), hAPP(hAPP(c_Set_Oinsert(_u2641), _u2643), _u2642)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2641, _u2641, c_Orderings_Oord__class_Omin(_u2641)), _u2643), _u2642)) )).
% 12.21/12.45 cnf(matrix-1866, plain, ( ~class_Orderings_Olinorder(_u2644) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2644), _u2645)) | hBOOL(hAPP(hAPP(c_member(_u2644), _u2646), _u2645)) | ( c_Big__Operators_Olattice_OSup__fin(_u2644, c_Orderings_Oord__class_Omax(_u2644), hAPP(hAPP(c_Set_Oinsert(_u2644), _u2646), _u2645)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2644, _u2644, c_Orderings_Oord__class_Omax(_u2644)), _u2646), _u2645)) )).
% 12.21/12.45 cnf(matrix-1867, plain, ( ~class_Orderings_Olinorder(_u2649) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2649), _u2650)) | ( _u2650 = c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2649), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2649), skolem50(_u2650, _u2649)), skolem51(_u2650, _u2649))), hAPP(hAPP(c_Set_Oinsert(_u2649), skolem50(_u2650, _u2649)), hAPP(hAPP(c_Set_Oinsert(_u2649), skolem51(_u2650, _u2649)), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2649), c_Big__Operators_Olattice_OSup__fin(_u2649, c_Orderings_Oord__class_Omax(_u2649), _u2650)), _u2650)) )).
% 12.21/12.45 cnf(matrix-1868, plain, ( ~class_Orderings_Olinorder(_u2653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2653), _u2654)) | ( _u2654 = c_Orderings_Obot__class_Obot(tc_fun(_u2653, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2653), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2653), skolem52(_u2654, _u2653)), skolem53(_u2654, _u2653))), hAPP(hAPP(c_Set_Oinsert(_u2653), skolem52(_u2654, _u2653)), hAPP(hAPP(c_Set_Oinsert(_u2653), skolem53(_u2654, _u2653)), c_Orderings_Obot__class_Obot(tc_fun(_u2653, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2653), c_Big__Operators_Olattice_OInf__fin(_u2653, c_Orderings_Oord__class_Omin(_u2653), _u2654)), _u2654)) )).
% 12.21/12.45 cnf(matrix-1869, plain, ( ~class_Orderings_Olinorder(_u2657) | ( hAPP(_u2658, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2657), skolem54(_u2659, _u2658, _u2657)), skolem55(_u2659, _u2658, _u2657))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2657), hAPP(_u2658, skolem54(_u2659, _u2658, _u2657))), hAPP(_u2658, skolem55(_u2659, _u2658, _u2657)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2657), _u2659)) | ( _u2659 = c_Orderings_Obot__class_Obot(tc_fun(_u2657, tc_HOL_Obool))) | ( hAPP(_u2658, c_Big__Operators_Olattice_OSup__fin(_u2657, c_Orderings_Oord__class_Omax(_u2657), _u2659)) = c_Big__Operators_Olattice_OSup__fin(_u2657, c_Orderings_Oord__class_Omax(_u2657), hAPP(c_Set_Oimage(_u2657, _u2657, _u2658), _u2659))) )).
% 12.21/12.45 cnf(matrix-1870, plain, ( ~class_Orderings_Olinorder(_u2662) | ( hAPP(_u2663, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2662), skolem56(_u2664, _u2663, _u2662)), skolem57(_u2664, _u2663, _u2662))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2662), hAPP(_u2663, skolem56(_u2664, _u2663, _u2662))), hAPP(_u2663, skolem57(_u2664, _u2663, _u2662)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2662), _u2664)) | ( _u2664 = c_Orderings_Obot__class_Obot(tc_fun(_u2662, tc_HOL_Obool))) | ( hAPP(_u2663, c_Big__Operators_Olattice_OInf__fin(_u2662, c_Orderings_Oord__class_Omin(_u2662), _u2664)) = c_Big__Operators_Olattice_OInf__fin(_u2662, c_Orderings_Oord__class_Omin(_u2662), hAPP(c_Set_Oimage(_u2662, _u2662, _u2663), _u2664))) )).
% 12.21/12.45 cnf(matrix-1871, plain, ( ~class_Orderings_Olinorder(_u2667) | ( hAPP(_u2668, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2667), skolem58(_u2669, _u2668, _u2667)), skolem59(_u2669, _u2668, _u2667))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2667), hAPP(_u2668, skolem58(_u2669, _u2668, _u2667))), hAPP(_u2668, skolem59(_u2669, _u2668, _u2667)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2667), _u2669)) | ( _u2669 = c_Orderings_Obot__class_Obot(tc_fun(_u2667, tc_HOL_Obool))) | ( hAPP(_u2668, c_Big__Operators_Olinorder__class_OMax(_u2667, _u2669)) = c_Big__Operators_Olinorder__class_OMax(_u2667, hAPP(c_Set_Oimage(_u2667, _u2667, _u2668), _u2669))) )).
% 12.21/12.45 cnf(matrix-1872, plain, ( ~class_Orderings_Olinorder(_u2672) | ( hAPP(_u2673, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2672), skolem60(_u2674, _u2673, _u2672)), skolem61(_u2674, _u2673, _u2672))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2672), hAPP(_u2673, skolem60(_u2674, _u2673, _u2672))), hAPP(_u2673, skolem61(_u2674, _u2673, _u2672)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2672), _u2674)) | ( _u2674 = c_Orderings_Obot__class_Obot(tc_fun(_u2672, tc_HOL_Obool))) | ( hAPP(_u2673, c_Big__Operators_Olinorder__class_OMin(_u2672, _u2674)) = c_Big__Operators_Olinorder__class_OMin(_u2672, hAPP(c_Set_Oimage(_u2672, _u2672, _u2673), _u2674))) )).
% 12.21/12.45 cnf(matrix-1873, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2677) | ( hAPP(_u2678, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2677), skolem62(_u2679, _u2678, _u2677)), skolem63(_u2679, _u2678, _u2677))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2677), hAPP(_u2678, skolem62(_u2679, _u2678, _u2677))), hAPP(_u2678, skolem63(_u2679, _u2678, _u2677)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2677), _u2679)) | ( _u2679 = c_Orderings_Obot__class_Obot(tc_fun(_u2677, tc_HOL_Obool))) | ( hAPP(_u2678, hAPP(c_Finite__Set_Ofold1(_u2677, c_Groups_Otimes__class_Otimes(_u2677)), _u2679)) = hAPP(c_Finite__Set_Ofold1(_u2677, c_Groups_Otimes__class_Otimes(_u2677)), hAPP(c_Set_Oimage(_u2677, _u2677, _u2678), _u2679))) )).
% 12.21/12.45 cnf(matrix-1874, plain, ( ~class_Orderings_Olinorder(_u2681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2681), _u2682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2681), hAPP(hAPP(c_Finite__Set_Ofold(_u2681, _u2681, c_Orderings_Oord__class_Omax(_u2681)), _u2684), _u2682)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2681), _u2683), _u2684))) | hBOOL(hAPP(hAPP(c_member(_u2681), skolem64(_u2684, _u2683, _u2682, _u2681)), _u2682)) )).
% 12.21/12.45 cnf(matrix-1875, plain, ( ~class_Orderings_Olinorder(_u2681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2681), _u2682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2681), hAPP(hAPP(c_Finite__Set_Ofold(_u2681, _u2681, c_Orderings_Oord__class_Omax(_u2681)), _u2684), _u2682)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2681), _u2683), _u2684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2681), skolem64(_u2684, _u2683, _u2682, _u2681)), _u2683)) )).
% 12.21/12.45 cnf(matrix-1876, plain, ( ~class_Orderings_Olinorder(_u2686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2686), _u2687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2686), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2686), _u2688), _u2689)), hAPP(hAPP(c_Finite__Set_Ofold(_u2686, _u2686, c_Orderings_Oord__class_Omin(_u2686)), _u2689), _u2687))) | hBOOL(hAPP(hAPP(c_member(_u2686), skolem65(_u2689, _u2688, _u2687, _u2686)), _u2687)) )).
% 12.21/12.45 cnf(matrix-1877, plain, ( ~class_Orderings_Olinorder(_u2686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2686), _u2687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2686), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2686), _u2688), _u2689)), hAPP(hAPP(c_Finite__Set_Ofold(_u2686, _u2686, c_Orderings_Oord__class_Omin(_u2686)), _u2689), _u2687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2686), _u2688), skolem65(_u2689, _u2688, _u2687, _u2686))) )).
% 12.21/12.45 cnf(matrix-1878, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2690), _u2691)) | ~hBOOL(hAPP(hAPP(c_member(_u2690), _u2692), _u2691)) | ~hBOOL(hAPP(hAPP(c_member(_u2690), _u2693), _u2691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2690), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2690, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2690, tc_HOL_Obool)), _u2691), hAPP(hAPP(c_Set_Oinsert(_u2690), _u2692), c_Orderings_Obot__class_Obot(tc_fun(_u2690, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u2690), _u2693), c_Orderings_Obot__class_Obot(tc_fun(_u2690, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2690), _u2691))) )).
% 12.21/12.45 cnf(matrix-1879, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2694), _u2695)) | ~hBOOL(hAPP(hAPP(c_member(_u2694), _u2696), _u2695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2694), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2694, tc_HOL_Obool)), _u2695), hAPP(hAPP(c_Set_Oinsert(_u2694), _u2696), c_Orderings_Obot__class_Obot(tc_fun(_u2694, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2694), _u2695))) )).
% 12.21/12.45 cnf(matrix-1880, plain, ( ~c_Fun_Oinj__on(_u2697, _u2698, _u2699, c_Orderings_Otop__class_Otop(tc_fun(_u2697, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2698, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2697, _u2698, _u2699), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2697, tc_HOL_Obool)), _u2700))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2698, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2697, _u2698, _u2699), _u2700)))) )).
% 12.21/12.45 cnf(matrix-1881, plain, ( ~class_Groups_Oab__semigroup__mult(_u2701) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2702), _u2703)) | hBOOL(hAPP(hAPP(c_member(_u2702), _u2704), _u2703)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2701, _u2702, c_Groups_Otimes__class_Otimes(_u2701)), _u2705), _u2706), hAPP(hAPP(c_Set_Oinsert(_u2702), _u2704), _u2703)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2701), hAPP(_u2705, _u2704)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2701, _u2702, c_Groups_Otimes__class_Otimes(_u2701)), _u2705), _u2706), _u2703))) )).
% 12.21/12.45 cnf(matrix-1882, plain, ( ~class_Groups_Ocomm__monoid__add(_u2708) | ~class_Groups_Oordered__ab__semigroup__add(_u2708) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2709, _u2708), _u2711), _u2710)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2709, _u2708), _u2712), _u2710))) | hBOOL(hAPP(hAPP(c_member(_u2709), skolem66(_u2712, _u2711, _u2710, _u2709, _u2708)), _u2710)) )).
% 12.21/12.45 cnf(matrix-1883, plain, ( ~class_Groups_Ocomm__monoid__add(_u2708) | ~class_Groups_Oordered__ab__semigroup__add(_u2708) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2709, _u2708), _u2711), _u2710)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2709, _u2708), _u2712), _u2710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2708), hAPP(_u2711, skolem66(_u2712, _u2711, _u2710, _u2709, _u2708))), hAPP(_u2712, skolem66(_u2712, _u2711, _u2710, _u2709, _u2708)))) )).
% 12.21/12.45 cnf(matrix-1884, plain, ( ~class_Orderings_Olinorder(_u2713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2713), _u2714)) | ( _u2714 = c_Orderings_Obot__class_Obot(tc_fun(_u2713, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2713), _u2715)) | ( _u2715 = c_Orderings_Obot__class_Obot(tc_fun(_u2713, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u2713, c_Orderings_Oord__class_Omax(_u2713), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2713, tc_HOL_Obool)), _u2714), _u2715)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2713), c_Big__Operators_Olattice_OSup__fin(_u2713, c_Orderings_Oord__class_Omax(_u2713), _u2714)), c_Big__Operators_Olattice_OSup__fin(_u2713, c_Orderings_Oord__class_Omax(_u2713), _u2715))) )).
% 12.21/12.45 cnf(matrix-1885, plain, ( ~class_Orderings_Olinorder(_u2716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2716), _u2717)) | ( _u2717 = c_Orderings_Obot__class_Obot(tc_fun(_u2716, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2716), _u2718)) | ( _u2718 = c_Orderings_Obot__class_Obot(tc_fun(_u2716, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2716, c_Orderings_Oord__class_Omin(_u2716), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2716, tc_HOL_Obool)), _u2717), _u2718)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2716), c_Big__Operators_Olattice_OInf__fin(_u2716, c_Orderings_Oord__class_Omin(_u2716), _u2717)), c_Big__Operators_Olattice_OInf__fin(_u2716, c_Orderings_Oord__class_Omin(_u2716), _u2718))) )).
% 12.21/12.45 cnf(matrix-1886, plain, ( ~class_Orderings_Olinorder(_u2719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2719), _u2720)) | ( _u2720 = c_Orderings_Obot__class_Obot(tc_fun(_u2719, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2719), _u2721)) | ( _u2721 = c_Orderings_Obot__class_Obot(tc_fun(_u2719, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u2719, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2719, tc_HOL_Obool)), _u2720), _u2721)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u2719), c_Big__Operators_Olinorder__class_OMax(_u2719, _u2720)), c_Big__Operators_Olinorder__class_OMax(_u2719, _u2721))) )).
% 12.21/12.45 cnf(matrix-1887, plain, ( ~class_Orderings_Olinorder(_u2722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2722), _u2723)) | ( _u2723 = c_Orderings_Obot__class_Obot(tc_fun(_u2722, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2722), _u2724)) | ( _u2724 = c_Orderings_Obot__class_Obot(tc_fun(_u2722, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2722, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2722, tc_HOL_Obool)), _u2723), _u2724)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2722), c_Big__Operators_Olinorder__class_OMin(_u2722, _u2723)), c_Big__Operators_Olinorder__class_OMin(_u2722, _u2724))) )).
% 12.21/12.45 cnf(matrix-1888, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2725, tc_HOL_Obool)), _u2726)) )).
% 12.21/12.45 cnf(matrix-1889, plain, ( hBOOL(hAPP(_u2728, _u2730)) | hBOOL(hAPP(_u2729, _u2730)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2727, tc_HOL_Obool)), _u2728), _u2729), _u2730)) )).
% 12.21/12.45 cnf(matrix-1890, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2734, tc_HOL_Obool)), _u2733), _u2731), _u2732)) | ~hBOOL(hAPP(_u2731, _u2732)) )).
% 12.21/12.45 cnf(matrix-1891, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2734, tc_HOL_Obool)), _u2733), _u2731), _u2732)) | ~hBOOL(hAPP(_u2733, _u2732)) )).
% 12.21/12.45 cnf(matrix-1892, plain, ( hBOOL(hAPP(hAPP(c_member(_u2735), _u2736), c_Orderings_Otop__class_Otop(tc_fun(_u2735, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-1893, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2737), _u2738), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2737, tc_HOL_Obool)), _u2739), _u2740))) | hBOOL(hAPP(hAPP(c_member(_u2737), _u2738), _u2739)) | hBOOL(hAPP(hAPP(c_member(_u2737), _u2738), _u2740)) )).
% 12.21/12.45 cnf(matrix-1894, plain, ( hBOOL(hAPP(hAPP(c_member(_u2741), _u2742), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2741, tc_HOL_Obool)), _u2744), _u2743))) | ~hBOOL(hAPP(hAPP(c_member(_u2741), _u2742), _u2743)) )).
% 12.21/12.45 cnf(matrix-1895, plain, ( hBOOL(hAPP(hAPP(c_member(_u2741), _u2742), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2741, tc_HOL_Obool)), _u2744), _u2743))) | ~hBOOL(hAPP(hAPP(c_member(_u2741), _u2742), _u2744)) )).
% 12.21/12.45 cnf(matrix-1896, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u2746)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u2746), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2746), c_Orderings_Otop__class_Otop(tc_fun(_u2746, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-1897, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2747), c_Orderings_Otop__class_Otop(tc_fun(_u2747, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u2747)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u2747), tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-1898, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2750, _u2752)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2750, _u2752), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2750), c_Orderings_Otop__class_Otop(tc_fun(_u2750, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-1899, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2750, _u2752)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2750, _u2752), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2752), c_Orderings_Otop__class_Otop(tc_fun(_u2752, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-1900, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2751), c_Orderings_Otop__class_Otop(tc_fun(_u2751, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2753), c_Orderings_Otop__class_Otop(tc_fun(_u2753, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2751, _u2753)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2751, _u2753), tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-1901, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2754), c_Orderings_Otop__class_Otop(tc_fun(_u2754, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2755), c_Orderings_Otop__class_Otop(tc_fun(_u2755, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u2754, _u2755)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u2754, _u2755), tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-1902, plain, ( ~class_Lattices_Olattice(_u2756) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2756), _u2757), _u2757) = _u2757) )).
% 12.21/12.45 cnf(matrix-1903, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2758, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2758, tc_HOL_Obool))), _u2759) = c_Orderings_Otop__class_Otop(tc_fun(_u2758, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-1904, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2760, tc_HOL_Obool)), _u2761), c_Orderings_Otop__class_Otop(tc_fun(_u2760, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2760, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-1905, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2762, tc_HOL_Obool)), _u2763), _u2763) = _u2763) )).
% 12.21/12.45 cnf(matrix-1906, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2764, tc_HOL_Obool)), _u2765), _u2766) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2764, tc_HOL_Obool)), _u2766), _u2765)) )).
% 12.21/12.45 cnf(matrix-1907, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2767, tc_HOL_Obool)), _u2768), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2767, tc_HOL_Obool)), _u2768), _u2769)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2767, tc_HOL_Obool)), _u2768), _u2769)) )).
% 12.21/12.45 cnf(matrix-1908, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2770, tc_HOL_Obool)), _u2771), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2770, tc_HOL_Obool)), _u2772), _u2773)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2770, tc_HOL_Obool)), _u2772), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2770, tc_HOL_Obool)), _u2771), _u2773))) )).
% 12.21/12.45 cnf(matrix-1909, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2774, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2774, tc_HOL_Obool)), _u2775), _u2776)), _u2777) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2774, tc_HOL_Obool)), _u2775), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2774, tc_HOL_Obool)), _u2776), _u2777))) )).
% 12.21/12.45 cnf(matrix-1910, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2788), _u2778), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2788, tc_HOL_Obool)), _u2790), _u2792))) | ~hBOOL(hAPP(_u2794, _u2778)) | hBOOL(hAPP(hAPP(c_member(_u2788), skolem67(_u2794, _u2792, _u2790, _u2788)), _u2790)) | hBOOL(hAPP(hAPP(c_member(_u2788), skolem68(_u2794, _u2792, _u2790, _u2788)), _u2792)) )).
% 12.21/12.45 cnf(matrix-1911, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2788), _u2778), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2788, tc_HOL_Obool)), _u2790), _u2792))) | ~hBOOL(hAPP(_u2794, _u2778)) | hBOOL(hAPP(hAPP(c_member(_u2788), skolem67(_u2794, _u2792, _u2790, _u2788)), _u2790)) | hBOOL(hAPP(_u2794, skolem68(_u2794, _u2792, _u2790, _u2788))) )).
% 12.21/12.45 cnf(matrix-1912, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2788), _u2778), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2788, tc_HOL_Obool)), _u2790), _u2792))) | ~hBOOL(hAPP(_u2794, _u2778)) | hBOOL(hAPP(_u2794, skolem67(_u2794, _u2792, _u2790, _u2788))) | hBOOL(hAPP(hAPP(c_member(_u2788), skolem68(_u2794, _u2792, _u2790, _u2788)), _u2792)) )).
% 12.21/12.45 cnf(matrix-1913, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2788), _u2778), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2788, tc_HOL_Obool)), _u2790), _u2792))) | ~hBOOL(hAPP(_u2794, _u2778)) | hBOOL(hAPP(_u2794, skolem67(_u2794, _u2792, _u2790, _u2788))) | hBOOL(hAPP(_u2794, skolem68(_u2794, _u2792, _u2790, _u2788))) )).
% 12.21/12.45 cnf(matrix-1914, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2789), _u2781), _u2791)) | ~hBOOL(hAPP(_u2795, _u2781)) | hBOOL(hAPP(hAPP(c_member(_u2789), skolem69(_u2795, _u2793, _u2791, _u2789)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2789, tc_HOL_Obool)), _u2791), _u2793))) )).
% 12.21/12.45 cnf(matrix-1915, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2789), _u2781), _u2791)) | ~hBOOL(hAPP(_u2795, _u2781)) | hBOOL(hAPP(_u2795, skolem69(_u2795, _u2793, _u2791, _u2789))) )).
% 12.21/12.45 cnf(matrix-1916, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2789), _u2782), _u2793)) | ~hBOOL(hAPP(_u2795, _u2782)) | hBOOL(hAPP(hAPP(c_member(_u2789), skolem69(_u2795, _u2793, _u2791, _u2789)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2789, tc_HOL_Obool)), _u2791), _u2793))) )).
% 12.21/12.45 cnf(matrix-1917, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2789), _u2782), _u2793)) | ~hBOOL(hAPP(_u2795, _u2782)) | hBOOL(hAPP(_u2795, skolem69(_u2795, _u2793, _u2791, _u2789))) )).
% 12.21/12.45 cnf(matrix-1918, plain, ( hBOOL(hAPP(hAPP(c_member(_u2806), skolem70(_u2812, _u2810, _u2808, _u2806)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2806, tc_HOL_Obool)), _u2808), _u2810))) | ~hBOOL(hAPP(hAPP(c_member(_u2806), _u2797), _u2808)) | hBOOL(hAPP(_u2812, _u2797)) )).
% 12.21/12.45 cnf(matrix-1919, plain, ( hBOOL(hAPP(hAPP(c_member(_u2806), skolem70(_u2812, _u2810, _u2808, _u2806)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2806, tc_HOL_Obool)), _u2808), _u2810))) | ~hBOOL(hAPP(hAPP(c_member(_u2806), _u2798), _u2810)) | hBOOL(hAPP(_u2812, _u2798)) )).
% 12.21/12.45 cnf(matrix-1920, plain, ( ~hBOOL(hAPP(_u2812, skolem70(_u2812, _u2810, _u2808, _u2806))) | ~hBOOL(hAPP(hAPP(c_member(_u2806), _u2797), _u2808)) | hBOOL(hAPP(_u2812, _u2797)) )).
% 12.21/12.45 cnf(matrix-1921, plain, ( ~hBOOL(hAPP(_u2812, skolem70(_u2812, _u2810, _u2808, _u2806))) | ~hBOOL(hAPP(hAPP(c_member(_u2806), _u2798), _u2810)) | hBOOL(hAPP(_u2812, _u2798)) )).
% 12.21/12.45 cnf(matrix-1922, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2807), _u2801), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2807, tc_HOL_Obool)), _u2809), _u2811))) | hBOOL(hAPP(_u2813, _u2801)) | hBOOL(hAPP(hAPP(c_member(_u2807), skolem71(_u2813, _u2811, _u2809, _u2807)), _u2809)) | hBOOL(hAPP(hAPP(c_member(_u2807), skolem72(_u2813, _u2811, _u2809, _u2807)), _u2811)) )).
% 12.21/12.45 cnf(matrix-1923, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2807), _u2801), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2807, tc_HOL_Obool)), _u2809), _u2811))) | hBOOL(hAPP(_u2813, _u2801)) | hBOOL(hAPP(hAPP(c_member(_u2807), skolem71(_u2813, _u2811, _u2809, _u2807)), _u2809)) | ~hBOOL(hAPP(_u2813, skolem72(_u2813, _u2811, _u2809, _u2807))) )).
% 12.21/12.45 cnf(matrix-1924, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2807), _u2801), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2807, tc_HOL_Obool)), _u2809), _u2811))) | hBOOL(hAPP(_u2813, _u2801)) | ~hBOOL(hAPP(_u2813, skolem71(_u2813, _u2811, _u2809, _u2807))) | hBOOL(hAPP(hAPP(c_member(_u2807), skolem72(_u2813, _u2811, _u2809, _u2807)), _u2811)) )).
% 12.21/12.45 cnf(matrix-1925, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2807), _u2801), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2807, tc_HOL_Obool)), _u2809), _u2811))) | hBOOL(hAPP(_u2813, _u2801)) | ~hBOOL(hAPP(_u2813, skolem71(_u2813, _u2811, _u2809, _u2807))) | ~hBOOL(hAPP(_u2813, skolem72(_u2813, _u2811, _u2809, _u2807))) )).
% 12.21/12.45 cnf(matrix-1926, plain, ( ~class_Orderings_Otop(_u2814) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2815, _u2814)), _u2816) = c_Orderings_Otop__class_Otop(_u2814)) )).
% 12.21/12.45 cnf(matrix-1927, plain, ( ~hBOOL(hAPP(_u2817, _u2818)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2819, tc_HOL_Obool)), _u2817), _u2820), _u2818)) )).
% 12.21/12.45 cnf(matrix-1928, plain, ( ~hBOOL(hAPP(_u2821, _u2822)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2823, tc_HOL_Obool)), _u2824), _u2821), _u2822)) )).
% 12.21/12.45 cnf(matrix-1929, plain, ( ~class_Lattices_Obounded__lattice__top(_u2825) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2825), c_Orderings_Otop__class_Otop(_u2825)), _u2826) = c_Orderings_Otop__class_Otop(_u2825)) )).
% 12.21/12.45 cnf(matrix-1930, plain, ( ~class_Lattices_Obounded__lattice__top(_u2827) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2827), _u2828), c_Orderings_Otop__class_Otop(_u2827)) = c_Orderings_Otop__class_Otop(_u2827)) )).
% 12.21/12.45 cnf(matrix-1931, plain, ( ~class_Lattices_Osemilattice__sup(_u2829) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2829), _u2830), _u2830) = _u2830) )).
% 12.21/12.45 cnf(matrix-1932, plain, ( ~class_Lattices_Osemilattice__sup(_u2831) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2831), _u2832), _u2832) = _u2832) )).
% 12.21/12.45 cnf(matrix-1933, plain, ( ~class_Lattices_Olattice(_u2833) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2834, _u2833)), _u2835), _u2836), _u2837) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2833), hAPP(_u2835, _u2837)), hAPP(_u2836, _u2837))) )).
% 12.21/12.45 cnf(matrix-1934, plain, ( ~class_Lattices_Osemilattice__sup(_u2838) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2838), _u2839), _u2840) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2838), _u2840), _u2839)) )).
% 12.21/12.45 cnf(matrix-1935, plain, ( ~class_Lattices_Olattice(_u2841) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2841), _u2842), _u2843) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2841), _u2843), _u2842)) )).
% 12.21/12.45 cnf(matrix-1936, plain, ( ~class_Lattices_Osemilattice__sup(_u2844) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2844), _u2845), _u2846) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2844), _u2846), _u2845)) )).
% 12.21/12.45 cnf(matrix-1937, plain, ( ~class_Lattices_Osemilattice__sup(_u2847) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2847), _u2848), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2847), _u2848), _u2849)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2847), _u2848), _u2849)) )).
% 12.21/12.45 cnf(matrix-1938, plain, ( ~class_Lattices_Olattice(_u2850) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2850), _u2851), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2850), _u2851), _u2852)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2850), _u2851), _u2852)) )).
% 12.21/12.45 cnf(matrix-1939, plain, ( ~class_Lattices_Osemilattice__sup(_u2853) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2853), _u2854), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2853), _u2854), _u2855)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2853), _u2854), _u2855)) )).
% 12.21/12.45 cnf(matrix-1940, plain, ( ~class_Lattices_Osemilattice__sup(_u2856) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2856), _u2857), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2856), _u2858), _u2859)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2856), _u2858), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2856), _u2857), _u2859))) )).
% 12.21/12.45 cnf(matrix-1941, plain, ( ~class_Lattices_Olattice(_u2860) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2860), _u2861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2860), _u2862), _u2863)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2860), _u2862), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2860), _u2861), _u2863))) )).
% 12.21/12.45 cnf(matrix-1942, plain, ( ~class_Lattices_Osemilattice__sup(_u2864) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2864), _u2865), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2864), _u2866), _u2867)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2864), _u2866), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2864), _u2865), _u2867))) )).
% 12.21/12.45 cnf(matrix-1943, plain, ( ~class_Lattices_Osemilattice__sup(_u2868) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), _u2869), _u2870)), _u2871) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), _u2869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), _u2870), _u2871))) )).
% 12.21/12.45 cnf(matrix-1944, plain, ( ~class_Lattices_Olattice(_u2872) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2872), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2872), _u2873), _u2874)), _u2875) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2872), _u2873), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2872), _u2874), _u2875))) )).
% 12.21/12.45 cnf(matrix-1945, plain, ( ~class_Lattices_Osemilattice__sup(_u2876) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2876), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2876), _u2877), _u2878)), _u2879) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2876), _u2877), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2876), _u2878), _u2879))) )).
% 12.21/12.45 cnf(matrix-1946, plain, ( ~class_Lattices_Olattice(_u2880) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2881, _u2880)), _u2882), _u2883), _u2884) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2880), hAPP(_u2882, _u2884)), hAPP(_u2883, _u2884))) )).
% 12.21/12.45 cnf(matrix-1947, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2886), c_Orderings_Otop__class_Otop(tc_fun(_u2886, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2885, _u2886)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u2885, _u2886), tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-1948, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2887), c_Orderings_Otop__class_Otop(tc_fun(_u2887, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u2887), _u2888) != hAPP(c_Finite__Set_Ocard(_u2887), c_Orderings_Otop__class_Otop(tc_fun(_u2887, tc_HOL_Obool)))) | ( _u2888 = c_Orderings_Otop__class_Otop(tc_fun(_u2887, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-1949, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2889, tc_HOL_Obool)), _u2890), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2889, tc_HOL_Obool)), _u2890)) = c_Orderings_Otop__class_Otop(tc_fun(_u2889, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-1950, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2891, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2891, tc_HOL_Obool)), _u2892)), _u2892) = c_Orderings_Otop__class_Otop(tc_fun(_u2891, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-1951, plain, ( ~class_Lattices_Oboolean__algebra(_u2893) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2893), _u2894), hAPP(c_Groups_Ouminus__class_Ouminus(_u2893), _u2894)) = c_Orderings_Otop__class_Otop(_u2893)) )).
% 12.21/12.45 cnf(matrix-1952, plain, ( ~class_Lattices_Oboolean__algebra(_u2895) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2895), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2896)), _u2896) = c_Orderings_Otop__class_Otop(_u2895)) )).
% 12.21/12.45 cnf(matrix-1953, plain, ( ~class_Lattices_Olattice(_u2897) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2897), _u2898), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2897), _u2898), _u2899))) )).
% 12.21/12.45 cnf(matrix-1954, plain, ( ~class_Lattices_Osemilattice__sup(_u2900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2900), _u2901), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2900), _u2901), _u2902))) )).
% 12.21/12.45 cnf(matrix-1955, plain, ( ~class_Lattices_Olattice(_u2903) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2903), _u2904), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2903), _u2905), _u2904))) )).
% 12.21/12.45 cnf(matrix-1956, plain, ( ~class_Lattices_Osemilattice__sup(_u2906) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2906), _u2907), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2906), _u2908), _u2907))) )).
% 12.21/12.45 cnf(matrix-1957, plain, ( ~class_Lattices_Osemilattice__sup(_u2909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2909), _u2910), _u2911)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2909), _u2910), _u2911) = _u2911) )).
% 12.21/12.45 cnf(matrix-1958, plain, ( ~class_Lattices_Osemilattice__sup(_u2909) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2909), _u2910), _u2911) != _u2911) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2909), _u2910), _u2911)) )).
% 12.21/12.45 cnf(matrix-1959, plain, ( ~class_Lattices_Osemilattice__sup(_u2912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2912), _u2913), _u2914)), _u2915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), _u2913), _u2915)) )).
% 12.21/12.45 cnf(matrix-1960, plain, ( ~class_Lattices_Osemilattice__sup(_u2912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2912), _u2913), _u2914)), _u2915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), _u2914), _u2915)) )).
% 12.21/12.45 cnf(matrix-1961, plain, ( ~class_Lattices_Osemilattice__sup(_u2912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), _u2913), _u2915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), _u2914), _u2915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2912), _u2913), _u2914)), _u2915)) )).
% 12.21/12.45 cnf(matrix-1962, plain, ( ~class_Lattices_Osemilattice__sup(_u2916) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2916), _u2917), _u2918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2916), _u2917), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2916), _u2918), _u2919))) )).
% 12.21/12.45 cnf(matrix-1963, plain, ( ~class_Lattices_Osemilattice__sup(_u2920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2920), _u2921), _u2922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2920), _u2921), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2920), _u2923), _u2922))) )).
% 12.21/12.45 cnf(matrix-1964, plain, ( ~class_Lattices_Osemilattice__sup(_u2924) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2924), _u2925), _u2926)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2924), _u2925), _u2926) = _u2926) )).
% 12.21/12.45 cnf(matrix-1965, plain, ( ~class_Lattices_Osemilattice__sup(_u2927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2927), _u2928), _u2929)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2927), _u2929), _u2928) = _u2929) )).
% 12.21/12.45 cnf(matrix-1966, plain, ( ~class_Lattices_Osemilattice__sup(_u2930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2930), _u2931), _u2932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2930), _u2933), _u2932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2930), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2930), _u2931), _u2933)), _u2932)) )).
% 12.21/12.45 cnf(matrix-1967, plain, ( ~class_Lattices_Osemilattice__sup(_u2934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2934), _u2935), _u2936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2934), _u2937), _u2936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2934), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2934), _u2935), _u2937)), _u2936)) )).
% 12.21/12.45 cnf(matrix-1968, plain, ( ~class_Lattices_Osemilattice__sup(_u2938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2938), _u2939), _u2940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2938), _u2941), _u2942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2938), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2938), _u2939), _u2941)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2938), _u2940), _u2942))) )).
% 12.21/12.45 cnf(matrix-1969, plain, ( ~class_Lattices_Osemilattice__sup(_u2943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2943), _u2944), _u2945)), _u2946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), _u2944), _u2946)) )).
% 12.21/12.45 cnf(matrix-1970, plain, ( ~class_Lattices_Osemilattice__sup(_u2943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2943), _u2944), _u2945)), _u2946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2943), _u2945), _u2946)) )).
% 12.21/12.45 cnf(matrix-1971, plain, ( ~class_Lattices_Osemilattice__sup(_u2947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2947), _u2948), _u2949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2947), _u2948), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2947), _u2949), _u2950))) )).
% 12.21/12.45 cnf(matrix-1972, plain, ( ~class_Lattices_Osemilattice__sup(_u2951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2951), _u2952), _u2953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2951), _u2952), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2951), _u2954), _u2953))) )).
% 12.21/12.45 cnf(matrix-1973, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2955) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2955), c_Orderings_Obot__class_Obot(_u2955)), _u2956) = _u2956) )).
% 12.21/12.45 cnf(matrix-1974, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2957) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2957), _u2958), c_Orderings_Obot__class_Obot(_u2957)) = _u2958) )).
% 12.21/12.45 cnf(matrix-1975, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2959) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2959), _u2960), _u2961) != c_Orderings_Obot__class_Obot(_u2959)) | ( _u2960 = c_Orderings_Obot__class_Obot(_u2959)) )).
% 12.21/12.45 cnf(matrix-1976, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2959) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2959), _u2960), _u2961) != c_Orderings_Obot__class_Obot(_u2959)) | ( _u2961 = c_Orderings_Obot__class_Obot(_u2959)) )).
% 12.21/12.45 cnf(matrix-1977, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2959) | ( _u2960 != c_Orderings_Obot__class_Obot(_u2959)) | ( _u2961 != c_Orderings_Obot__class_Obot(_u2959)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2959), _u2960), _u2961) = c_Orderings_Obot__class_Obot(_u2959)) )).
% 12.21/12.45 cnf(matrix-1978, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2966), _u2968), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2966, tc_HOL_Obool)), _u2970), _u2972))) | hBOOL(hAPP(hAPP(c_member(_u2966), _u2968), _u2970)) | hBOOL(hAPP(hAPP(c_member(_u2966), _u2968), _u2972)) )).
% 12.21/12.45 cnf(matrix-1979, plain, ( hBOOL(hAPP(hAPP(c_member(_u2967), _u2969), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2967, tc_HOL_Obool)), _u2971), _u2973))) | ~hBOOL(hAPP(hAPP(c_member(_u2967), _u2969), _u2971)) )).
% 12.21/12.45 cnf(matrix-1980, plain, ( hBOOL(hAPP(hAPP(c_member(_u2967), _u2969), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2967, tc_HOL_Obool)), _u2971), _u2973))) | ~hBOOL(hAPP(hAPP(c_member(_u2967), _u2969), _u2973)) )).
% 12.21/12.45 cnf(matrix-1981, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2974), _u2975), _u2976)) | hBOOL(hAPP(hAPP(c_member(_u2974), _u2975), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2974, tc_HOL_Obool)), _u2976), _u2977))) )).
% 12.21/12.45 cnf(matrix-1982, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2978), _u2979), _u2980)) | hBOOL(hAPP(hAPP(c_member(_u2978), _u2979), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2978, tc_HOL_Obool)), _u2981), _u2980))) )).
% 12.21/12.45 cnf(matrix-1983, plain, ( ~class_Lattices_Osemilattice__sup(_u2982) | ~class_Orderings_Olinorder(_u2982) | ( c_Lattices_Osemilattice__sup__class_Osup(_u2982) = c_Orderings_Oord__class_Omax(_u2982)) )).
% 12.21/12.45 cnf(matrix-1984, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2983, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2983, tc_HOL_Obool))), _u2984) = _u2984) )).
% 12.21/12.45 cnf(matrix-1985, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2985, tc_HOL_Obool)), _u2986), c_Orderings_Obot__class_Obot(tc_fun(_u2985, tc_HOL_Obool))) = _u2986) )).
% 12.21/12.45 cnf(matrix-1986, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2990, tc_HOL_Obool)), _u2992), _u2994) != c_Orderings_Obot__class_Obot(tc_fun(_u2990, tc_HOL_Obool))) | ( _u2992 = c_Orderings_Obot__class_Obot(tc_fun(_u2990, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-1987, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2990, tc_HOL_Obool)), _u2992), _u2994) != c_Orderings_Obot__class_Obot(tc_fun(_u2990, tc_HOL_Obool))) | ( _u2994 = c_Orderings_Obot__class_Obot(tc_fun(_u2990, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-1988, plain, ( ( _u2993 != c_Orderings_Obot__class_Obot(tc_fun(_u2991, tc_HOL_Obool))) | ( _u2995 != c_Orderings_Obot__class_Obot(tc_fun(_u2991, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2991, tc_HOL_Obool)), _u2993), _u2995) = c_Orderings_Obot__class_Obot(tc_fun(_u2991, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-1989, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2999, tc_HOL_Obool)), _u3001), _u3003))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3001)) )).
% 12.21/12.45 cnf(matrix-1990, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2999, tc_HOL_Obool)), _u3001), _u3003))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3003)) )).
% 12.21/12.45 cnf(matrix-1991, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3000), _u3002)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3000), _u3004)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3000), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3000, tc_HOL_Obool)), _u3002), _u3004))) )).
% 12.21/12.45 cnf(matrix-1992, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3005), _u3006)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3005), _u3007)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3005), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3005, tc_HOL_Obool)), _u3006), _u3007))) )).
% 12.21/12.45 cnf(matrix-1993, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3008, tc_HOL_Obool)), _u3009), hAPP(hAPP(c_Set_Oinsert(_u3008), _u3010), _u3011)) = hAPP(hAPP(c_Set_Oinsert(_u3008), _u3010), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3008, tc_HOL_Obool)), _u3009), _u3011))) )).
% 12.21/12.45 cnf(matrix-1994, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3012, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3012), _u3013), _u3014)), _u3015) = hAPP(hAPP(c_Set_Oinsert(_u3012), _u3013), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3012, tc_HOL_Obool)), _u3014), _u3015))) )).
% 12.21/12.45 cnf(matrix-1995, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3016, tc_HOL_Obool)), _u3017), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3016, tc_HOL_Obool)), _u3017), _u3018))) )).
% 12.21/12.45 cnf(matrix-1996, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3019, tc_HOL_Obool)), _u3020), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3019, tc_HOL_Obool)), _u3021), _u3020))) )).
% 12.21/12.45 cnf(matrix-1997, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3025, tc_HOL_Obool)), _u3027), _u3029)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3025, tc_HOL_Obool)), _u3027), _u3029) = _u3029) )).
% 12.21/12.45 cnf(matrix-1998, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3026, tc_HOL_Obool)), _u3028), _u3030) != _u3030) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3026, tc_HOL_Obool)), _u3028), _u3030)) )).
% 12.21/12.45 cnf(matrix-1999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3031, tc_HOL_Obool)), _u3032), _u3033)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3031, tc_HOL_Obool)), _u3032), _u3033) = _u3033) )).
% 12.21/12.45 cnf(matrix-2000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3034, tc_HOL_Obool)), _u3035), _u3036)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3034, tc_HOL_Obool)), _u3036), _u3035) = _u3036) )).
% 12.21/12.45 cnf(matrix-2001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3037, tc_HOL_Obool)), _u3038), _u3039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3037, tc_HOL_Obool)), _u3040), _u3039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3037, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3037, tc_HOL_Obool)), _u3038), _u3040)), _u3039)) )).
% 12.21/12.45 cnf(matrix-2002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3041, tc_HOL_Obool)), _u3042), _u3043)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3041, tc_HOL_Obool)), _u3044), _u3045)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3041, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3041, tc_HOL_Obool)), _u3042), _u3044)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3041, tc_HOL_Obool)), _u3043), _u3045))) )).
% 12.21/12.45 cnf(matrix-2003, plain, ( ( hAPP(c_Set_Oimage(_u3046, _u3047, _u3048), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3046, tc_HOL_Obool)), _u3049), _u3050)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3047, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3046, _u3047, _u3048), _u3049)), hAPP(c_Set_Oimage(_u3046, _u3047, _u3048), _u3050))) )).
% 12.21/12.45 cnf(matrix-2004, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3051, tc_HOL_Obool)), _u3052), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3051, tc_HOL_Obool)), _u3053), _u3052)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3051, tc_HOL_Obool)), _u3052), _u3053)) )).
% 12.21/12.45 cnf(matrix-2005, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3054, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3054, tc_HOL_Obool)), _u3055), _u3056)), _u3056) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3054, tc_HOL_Obool)), _u3055), _u3056)) )).
% 12.21/12.45 cnf(matrix-2006, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3057, tc_HOL_Obool)), _u3058), _u3059)), _u3060) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3057, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool)), _u3058), _u3060)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool)), _u3059), _u3060))) )).
% 12.21/12.45 cnf(matrix-2007, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u3061, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u3061, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2008, plain, ( ~class_Finite__Set_Ofinite(_u3062) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3062), c_Orderings_Otop__class_Otop(tc_fun(_u3062, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-2009, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3063, tc_HOL_Obool)), _u3064), c_Orderings_Otop__class_Otop(tc_fun(_u3063, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-2010, plain, ( ~c_Fun_Oinj__on(_u3065, _u3066, _u3067, c_Orderings_Otop__class_Otop(tc_fun(_u3065, tc_HOL_Obool))) | ( hAPP(_u3067, _u3068) != hAPP(_u3067, _u3069)) | ( _u3068 = _u3069) )).
% 12.21/12.45 cnf(matrix-2011, plain, ( ~c_Fun_Oinj__on(_u3065, _u3066, _u3067, c_Orderings_Otop__class_Otop(tc_fun(_u3065, tc_HOL_Obool))) | ( _u3068 != _u3069) | ( hAPP(_u3067, _u3068) = hAPP(_u3067, _u3069)) )).
% 12.21/12.45 cnf(matrix-2012, plain, ( ( hAPP(_u3072, _u3073) != hAPP(_u3072, _u3074)) | ( _u3073 = _u3074) | ~c_Fun_Oinj__on(_u3070, _u3071, _u3072, c_Orderings_Otop__class_Otop(tc_fun(_u3070, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2013, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3075, _u3076, _u3077), _u3078), _u3079), c_Orderings_Obot__class_Obot(tc_fun(_u3076, tc_HOL_Obool))) = _u3079) )).
% 12.21/12.45 cnf(matrix-2014, plain, ( ~class_Lattices_Osemilattice__sup(_u3080) | c_Finite__Set_Ofun__left__comm__idem(_u3080, _u3080, c_Lattices_Osemilattice__sup__class_Osup(_u3080)) )).
% 12.21/12.45 cnf(matrix-2015, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3085, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u3085, tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3085)), _u3087)), hAPP(hAPP(c_COMBC(_u3085, tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3085)), _u3089)), _u3091)) | hBOOL(hAPP(hAPP(c_member(_u3085), _u3091), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3085, tc_HOL_Obool)), _u3087), _u3089))) )).
% 12.21/12.45 cnf(matrix-2016, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3086), _u3092), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3086, tc_HOL_Obool)), _u3088), _u3090))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3086, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u3086, tc_fun(_u3086, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3086)), _u3088)), hAPP(hAPP(c_COMBC(_u3086, tc_fun(_u3086, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3086)), _u3090)), _u3092)) )).
% 12.21/12.45 cnf(matrix-2017, plain, ( ( hAPP(c_Set_Oimage(_u3093, _u3094, hAPP(hAPP(c_COMBB(_u3095, _u3094, _u3093), _u3096), _u3097)), c_Orderings_Otop__class_Otop(tc_fun(_u3093, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u3095, _u3094, _u3096), hAPP(c_Set_Oimage(_u3093, _u3095, _u3097), c_Orderings_Otop__class_Otop(tc_fun(_u3093, tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-2018, plain, ( ~c_Fun_Oinj__on(_u3098, _u3099, _u3100, c_Orderings_Otop__class_Otop(tc_fun(_u3098, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3098, tc_fun(_u3101, _u3099), hAPP(hAPP(c_COMBB(_u3099, tc_fun(_u3101, _u3099), _u3098), c_COMBK(_u3099, _u3101)), _u3100), c_Orderings_Otop__class_Otop(tc_fun(_u3098, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2019, plain, ( ~class_Orderings_Otop(_u3102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3102), _u3103), c_Orderings_Otop__class_Otop(_u3102))) )).
% 12.21/12.45 cnf(matrix-2020, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u3104, _u3105, _u3106), _u3107) = c_Finite__Set_Ofold(_u3105, _u3104, hAPP(hAPP(c_COMBB(_u3104, tc_fun(_u3104, _u3104), _u3105), _u3106), _u3107))) )).
% 12.21/12.45 cnf(matrix-2021, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3108), _u3109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3108), _u3109)), hAPP(c_Finite__Set_Ocard(_u3108), hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), _u3109)))) )).
% 12.21/12.45 cnf(matrix-2022, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3111), _u3112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3111, tc_HOL_Obool)), _u3113), _u3112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3111), _u3113)), hAPP(c_Finite__Set_Ocard(_u3111), _u3112))) )).
% 12.21/12.45 cnf(matrix-2023, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3114), _u3115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3114, tc_HOL_Obool)), _u3116), _u3115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3114), _u3115)), hAPP(c_Finite__Set_Ocard(_u3114), _u3116))) | ( _u3116 = _u3115) )).
% 12.21/12.45 cnf(matrix-2024, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3117), _u3118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3119), hAPP(c_Set_Oimage(_u3117, _u3119, _u3120), _u3118))), hAPP(c_Finite__Set_Ocard(_u3117), _u3118))) )).
% 12.21/12.45 cnf(matrix-2025, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3121), hAPP(c_Set_Oimage(_u3122, _u3121, _u3123), _u3124))), hAPP(c_Finite__Set_Ocard(_u3122), _u3124))) | ~c_Fun_Oinj__on(_u3122, _u3121, _u3123, _u3124) )).
% 12.21/12.45 cnf(matrix-2026, plain, ( ~c_Fun_Oinj__on(_u3125, _u3126, _u3127, _u3128) | ( hAPP(c_Finite__Set_Ocard(_u3126), hAPP(c_Set_Oimage(_u3125, _u3126, _u3127), _u3128)) = hAPP(c_Finite__Set_Ocard(_u3125), _u3128)) )).
% 12.21/12.45 cnf(matrix-2027, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u3129), _u3130), _u3131) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3129, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3129), _u3130), c_Orderings_Obot__class_Obot(tc_fun(_u3129, tc_HOL_Obool)))), _u3131)) )).
% 12.21/12.45 cnf(matrix-2028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3136, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3136, tc_HOL_Obool)), _u3138), _u3140)), _u3142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3136, tc_HOL_Obool)), _u3138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3136, tc_HOL_Obool)), _u3140), _u3142))) )).
% 12.21/12.45 cnf(matrix-2029, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3137, tc_HOL_Obool)), _u3139), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3137, tc_HOL_Obool)), _u3141), _u3143))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3137, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3137, tc_HOL_Obool)), _u3139), _u3141)), _u3143)) )).
% 12.21/12.45 cnf(matrix-2030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3144, tc_HOL_Obool)), _u3145), _u3146)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3144, tc_HOL_Obool)), _u3145), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3144, tc_HOL_Obool)), _u3146), _u3145)) = _u3146) )).
% 12.21/12.45 cnf(matrix-2031, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3147), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3147, tc_HOL_Obool)), _u3149), _u3148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3147), _u3149)), hAPP(c_Finite__Set_Ocard(_u3147), _u3148))) )).
% 12.21/12.45 cnf(matrix-2032, plain, ( ~c_Fun_Oinj__on(_u3150, _u3151, _u3152, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3150, tc_HOL_Obool)), _u3153), _u3154)) | ( hAPP(c_Set_Oimage(_u3150, _u3151, _u3152), _u3153) != hAPP(c_Set_Oimage(_u3150, _u3151, _u3152), _u3154)) | ( _u3153 = _u3154) )).
% 12.21/12.45 cnf(matrix-2033, plain, ( ~c_Fun_Oinj__on(_u3150, _u3151, _u3152, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3150, tc_HOL_Obool)), _u3153), _u3154)) | ( _u3153 != _u3154) | ( hAPP(c_Set_Oimage(_u3150, _u3151, _u3152), _u3153) = hAPP(c_Set_Oimage(_u3150, _u3151, _u3152), _u3154)) )).
% 12.21/12.45 cnf(matrix-2034, plain, ( hBOOL(hAPP(hAPP(c_member(_u3155), hAPP(_u3156, _u3157)), hAPP(c_Set_Oimage(_u3158, _u3155, _u3156), c_Orderings_Otop__class_Otop(tc_fun(_u3158, tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-2035, plain, ( ( _u3159 != hAPP(_u3160, _u3161)) | hBOOL(hAPP(hAPP(c_member(_u3162), _u3159), hAPP(c_Set_Oimage(_u3163, _u3162, _u3160), c_Orderings_Otop__class_Otop(tc_fun(_u3163, tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-2036, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3164), _u3165)) | ( hAPP(c_Set_Oimage(_u3164, _u3166, _u3167), _u3165) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u3166, tc_HOL_Obool), _u3164, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3166, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3164, tc_fun(_u3166, tc_HOL_Obool), tc_fun(_u3166, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u3166, tc_fun(tc_fun(_u3166, tc_HOL_Obool), tc_fun(_u3166, tc_HOL_Obool)), _u3164), c_Set_Oinsert(_u3166)), _u3167)), c_Orderings_Obot__class_Obot(tc_fun(_u3166, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u3166, tc_HOL_Obool))), _u3165)) )).
% 12.21/12.45 cnf(matrix-2037, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3168, tc_HOL_Obool)), _u3169), c_Orderings_Otop__class_Otop(tc_fun(_u3168, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u3168, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2038, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3170, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3170, tc_HOL_Obool)), _u3171), _u3172)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3170, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3170, tc_HOL_Obool)), _u3171)), _u3172)) )).
% 12.21/12.45 cnf(matrix-2039, plain, ( ~c_Fun_Oinj__on(_u3173, _u3174, _u3175, c_Orderings_Otop__class_Otop(tc_fun(_u3173, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3173, _u3174, _u3175), _u3176) != hAPP(c_Set_Oimage(_u3173, _u3174, _u3175), _u3177)) | ( _u3176 = _u3177) )).
% 12.21/12.45 cnf(matrix-2040, plain, ( ~c_Fun_Oinj__on(_u3173, _u3174, _u3175, c_Orderings_Otop__class_Otop(tc_fun(_u3173, tc_HOL_Obool))) | ( _u3176 != _u3177) | ( hAPP(c_Set_Oimage(_u3173, _u3174, _u3175), _u3176) = hAPP(c_Set_Oimage(_u3173, _u3174, _u3175), _u3177)) )).
% 12.21/12.45 cnf(matrix-2041, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3178, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u3178, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u3178, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2042, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3179, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3179, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u3179, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2043, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), _u3181)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3180, tc_HOL_Obool)), _u3181))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), c_Orderings_Otop__class_Otop(tc_fun(_u3180, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-2044, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), _u3181)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), c_Orderings_Otop__class_Otop(tc_fun(_u3180, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3180, tc_HOL_Obool)), _u3181))) )).
% 12.21/12.45 cnf(matrix-2045, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3182, tc_HOL_Obool)), _u3183) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3182, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3182, tc_HOL_Obool))), _u3183)) )).
% 12.21/12.45 cnf(matrix-2046, plain, ( c_Fun_Oinj__on(_u3184, tc_fun(_u3184, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u3184, tc_fun(_u3184, tc_HOL_Obool), tc_fun(_u3184, tc_HOL_Obool)), c_Set_Oinsert(_u3184)), c_Orderings_Obot__class_Obot(tc_fun(_u3184, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u3184, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2047, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3185), hAPP(c_Set_Oimage(_u3186, _u3185, _u3187), c_Orderings_Otop__class_Otop(tc_fun(_u3186, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3188), hAPP(c_Set_Oimage(_u3186, _u3188, hAPP(hAPP(c_COMBB(_u3185, _u3188, _u3186), _u3189), _u3187)), c_Orderings_Otop__class_Otop(tc_fun(_u3186, tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-2048, plain, ( ~c_Fun_Oinj__on(_u3190, _u3191, _u3192, c_Orderings_Otop__class_Otop(tc_fun(_u3190, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u3190, _u3191, c_Orderings_Otop__class_Otop(tc_fun(_u3190, tc_HOL_Obool)), _u3192), hAPP(_u3192, _u3193)) = _u3193) )).
% 12.21/12.45 cnf(matrix-2049, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3195), _u3200)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3195), _u3201)) | ( hAPP(_u3199, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3195, tc_HOL_Obool)), _u3200), _u3201)) = hAPP(hAPP(_u3196, hAPP(_u3199, _u3200)), hAPP(_u3199, _u3201))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3194, _u3195, _u3196, _u3197, _u3198, _u3199) )).
% 12.21/12.45 cnf(matrix-2050, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u3202, _u3203, _u3204, _u3205, _u3206, _u3207) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3203), _u3208)) | ( hAPP(_u3207, _u3208) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3202, _u3203, _u3204), _u3206), _u3205), _u3208)) )).
% 12.21/12.45 cnf(matrix-2051, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3209), _u3210)) | ~c_Fun_Oinj__on(_u3209, _u3211, _u3212, _u3210) | ( hAPP(c_Finite__Set_Ocard(_u3211), hAPP(c_Set_Oimage(_u3209, _u3211, _u3212), _u3210)) = hAPP(c_Finite__Set_Ocard(_u3209), _u3210)) )).
% 12.21/12.45 cnf(matrix-2052, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3209), _u3210)) | ( hAPP(c_Finite__Set_Ocard(_u3211), hAPP(c_Set_Oimage(_u3209, _u3211, _u3212), _u3210)) != hAPP(c_Finite__Set_Ocard(_u3209), _u3210)) | c_Fun_Oinj__on(_u3209, _u3211, _u3212, _u3210) )).
% 12.21/12.45 cnf(matrix-2053, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3213), _u3214)) | ( hAPP(c_Finite__Set_Ocard(_u3215), hAPP(c_Set_Oimage(_u3213, _u3215, _u3216), _u3214)) != hAPP(c_Finite__Set_Ocard(_u3213), _u3214)) | c_Fun_Oinj__on(_u3213, _u3215, _u3216, _u3214) )).
% 12.21/12.45 cnf(matrix-2054, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3217), _u3218)) | 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(_u3217), _u3219)), hAPP(c_Finite__Set_Ocard(_u3217), _u3218))), hAPP(c_Finite__Set_Ocard(_u3217), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3217, tc_HOL_Obool)), _u3219), _u3218)))) )).
% 12.21/12.45 cnf(matrix-2055, plain, ( ~class_Lattices_Osemilattice__sup(_u3220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3220), _u3221)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3220, _u3220, c_Lattices_Osemilattice__sup__class_Osup(_u3220)), _u3222), hAPP(hAPP(c_Set_Oinsert(_u3220), _u3223), _u3221)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3220), _u3223), hAPP(hAPP(c_Finite__Set_Ofold(_u3220, _u3220, c_Lattices_Osemilattice__sup__class_Osup(_u3220)), _u3222), _u3221))) )).
% 12.21/12.45 cnf(matrix-2056, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3224), _u3225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3224, tc_HOL_Obool)), _u3226), _u3225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3224), _u3226)), hAPP(c_Finite__Set_Ocard(_u3224), _u3225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3224, tc_HOL_Obool)), _u3226), _u3225)) )).
% 12.21/12.45 cnf(matrix-2057, plain, ( ~class_Lattices_Oboolean__algebra(_u3227) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3227), c_Orderings_Otop__class_Otop(_u3227)) = c_Orderings_Obot__class_Obot(_u3227)) )).
% 12.21/12.45 cnf(matrix-2058, plain, ( ~class_Lattices_Oboolean__algebra(_u3228) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3228), c_Orderings_Obot__class_Obot(_u3228)) = c_Orderings_Otop__class_Otop(_u3228)) )).
% 12.21/12.45 cnf(matrix-2059, plain, ( ~c_Fun_Oinj__on(_u3233, _u3234, _u3235, c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3234), _u3236), hAPP(c_Set_Oimage(_u3233, _u3234, _u3235), c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))))) | ( _u3236 = hAPP(_u3235, skolem73(_u3236, _u3235, _u3234, _u3233))) )).
% 12.21/12.45 cnf(matrix-2060, plain, ( ~c_Fun_Oinj__on(_u3233, _u3234, _u3235, c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3234), _u3236), hAPP(c_Set_Oimage(_u3233, _u3234, _u3235), c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))))) | ( _u3236 != hAPP(_u3235, _u3229)) | ( _u3229 = skolem73(_u3236, _u3235, _u3234, _u3233)) )).
% 12.21/12.45 cnf(matrix-2061, plain, ( ~c_Fun_Oinj__on(_u3233, _u3234, _u3235, c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3234), _u3236), hAPP(c_Set_Oimage(_u3233, _u3234, _u3235), c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))))) | ( _u3236 != hAPP(_u3235, _u3232)) | ( _u3236 = hAPP(_u3235, skolem74(_u3236, _u3235, _u3234, _u3233, _u3232))) )).
% 12.21/12.45 cnf(matrix-2062, plain, ( ~c_Fun_Oinj__on(_u3233, _u3234, _u3235, c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3234), _u3236), hAPP(c_Set_Oimage(_u3233, _u3234, _u3235), c_Orderings_Otop__class_Otop(tc_fun(_u3233, tc_HOL_Obool))))) | ( _u3236 != hAPP(_u3235, _u3232)) | ( skolem74(_u3236, _u3235, _u3234, _u3233, _u3232) != _u3232) )).
% 12.21/12.45 cnf(matrix-2063, plain, ( ~c_Fun_Oinj__on(_u3237, _u3238, _u3239, c_Orderings_Otop__class_Otop(tc_fun(_u3237, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3238), hAPP(_u3239, _u3240)), hAPP(c_Set_Oimage(_u3237, _u3238, _u3239), _u3241))) | hBOOL(hAPP(hAPP(c_member(_u3237), _u3240), _u3241)) )).
% 12.21/12.45 cnf(matrix-2064, plain, ( ~c_Fun_Oinj__on(_u3237, _u3238, _u3239, c_Orderings_Otop__class_Otop(tc_fun(_u3237, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3237), _u3240), _u3241)) | hBOOL(hAPP(hAPP(c_member(_u3238), hAPP(_u3239, _u3240)), hAPP(c_Set_Oimage(_u3237, _u3238, _u3239), _u3241))) )).
% 12.21/12.45 cnf(matrix-2065, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3242), c_Orderings_Otop__class_Otop(tc_fun(_u3242, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u3242, _u3242, _u3243, c_Orderings_Otop__class_Otop(tc_fun(_u3242, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3242, _u3242, _u3243), c_Orderings_Otop__class_Otop(tc_fun(_u3242, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u3242, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2066, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3244), c_Orderings_Otop__class_Otop(tc_fun(_u3244, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u3244, _u3244, _u3245), c_Orderings_Otop__class_Otop(tc_fun(_u3244, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3244, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3244, _u3244, _u3245, c_Orderings_Otop__class_Otop(tc_fun(_u3244, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2067, plain, ( ~c_Fun_Oinj__on(_u3246, _u3247, _u3248, c_Orderings_Otop__class_Otop(tc_fun(_u3246, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3247, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3246, _u3247, _u3248), _u3249)), hAPP(c_Set_Oimage(_u3246, _u3247, _u3248), _u3250))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3246, tc_HOL_Obool)), _u3249), _u3250)) )).
% 12.21/12.45 cnf(matrix-2068, plain, ( ~c_Fun_Oinj__on(_u3246, _u3247, _u3248, c_Orderings_Otop__class_Otop(tc_fun(_u3246, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3246, tc_HOL_Obool)), _u3249), _u3250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3247, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3246, _u3247, _u3248), _u3249)), hAPP(c_Set_Oimage(_u3246, _u3247, _u3248), _u3250))) )).
% 12.21/12.45 cnf(matrix-2069, plain, ( ~c_Fun_Oinj__on(_u3251, _u3252, _u3253, c_Orderings_Otop__class_Otop(tc_fun(_u3251, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3251, _u3252, _u3253), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3251, tc_HOL_Obool)), _u3254), _u3255)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3252, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3251, _u3252, _u3253), _u3254)), hAPP(c_Set_Oimage(_u3251, _u3252, _u3253), _u3255))) )).
% 12.21/12.45 cnf(matrix-2070, plain, ( ( hAPP(c_Set_Oimage(_u3256, _u3257, _u3258), c_Orderings_Otop__class_Otop(tc_fun(_u3256, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3257, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3257, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3257, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3256, _u3257, _u3258), _u3259))), hAPP(c_Set_Oimage(_u3256, _u3257, _u3258), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3256, tc_HOL_Obool)), _u3259)))) )).
% 12.21/12.45 cnf(matrix-2071, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u3260, _u3261, _u3262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3260), _u3263)) | ( _u3263 = c_Orderings_Obot__class_Obot(tc_fun(_u3260, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3260), _u3264)) | ( _u3264 = c_Orderings_Obot__class_Obot(tc_fun(_u3260, tc_HOL_Obool))) | ( hAPP(_u3262, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3260, tc_HOL_Obool)), _u3263), _u3264)) = hAPP(hAPP(_u3261, hAPP(_u3262, _u3263)), hAPP(_u3262, _u3264))) )).
% 12.21/12.45 cnf(matrix-2072, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u3265, _u3266, _u3267, _u3268, _u3269) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3266), _u3270)) | ( hAPP(hAPP(_u3269, _u3271), _u3270) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3265, _u3266, _u3267), _u3271), _u3268), _u3270)) )).
% 12.21/12.45 cnf(matrix-2073, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u3265, _u3266, _u3267, _u3268, _u3269) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3266), _u3270)) | ( hAPP(hAPP(_u3269, _u3271), _u3270) = _u3268) )).
% 12.21/12.45 cnf(matrix-2074, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3272), _u3273)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3272), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3272, tc_HOL_Obool)), _u3273), hAPP(hAPP(c_Set_Oinsert(_u3272), _u3274), c_Orderings_Obot__class_Obot(tc_fun(_u3272, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3272), _u3273))) )).
% 12.21/12.45 cnf(matrix-2075, plain, ( ~class_Lattices_Osemilattice__sup(_u3275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3275), _u3276)) | ~hBOOL(hAPP(hAPP(c_member(_u3275), _u3277), _u3276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3275), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3275), _u3277), _u3278)), hAPP(hAPP(c_Finite__Set_Ofold(_u3275, _u3275, c_Lattices_Osemilattice__sup__class_Osup(_u3275)), _u3278), _u3276))) )).
% 12.21/12.45 cnf(matrix-2076, plain, ( ~c_Fun_Oinj__on(_u3279, _u3280, _u3281, _u3282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3280, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3279, _u3280, _u3281), _u3282)), _u3283)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3280), _u3283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3279), _u3282)), hAPP(c_Finite__Set_Ocard(_u3280), _u3283))) )).
% 12.21/12.45 cnf(matrix-2077, plain, ( ~c_Fun_Oinj__on(_u3284, _u3285, _u3286, _u3287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3285, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3284, _u3285, _u3286), _u3287)), _u3288)) | ~c_Fun_Oinj__on(_u3285, _u3284, _u3289, _u3288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3284, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3285, _u3284, _u3289), _u3288)), _u3287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3284), _u3287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3285), _u3288)) | ( hAPP(c_Finite__Set_Ocard(_u3284), _u3287) = hAPP(c_Finite__Set_Ocard(_u3285), _u3288)) )).
% 12.21/12.45 cnf(matrix-2078, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3290), _u3291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3290, tc_HOL_Obool)), _u3291), _u3292)) | ( hAPP(c_Finite__Set_Ocard(_u3290), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3290, tc_HOL_Obool)), _u3292), _u3291)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3290), _u3292)), hAPP(c_Finite__Set_Ocard(_u3290), _u3291))) )).
% 12.21/12.45 cnf(matrix-2079, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3293), _u3294)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3293, tc_HOL_Obool)), _u3294), _u3295) = hAPP(hAPP(c_Finite__Set_Ofold(_u3293, tc_fun(_u3293, tc_HOL_Obool), c_Set_Oinsert(_u3293)), _u3295), _u3294)) )).
% 12.21/12.45 cnf(matrix-2080, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3296) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3296), _u3297)) | ( _u3297 = c_Orderings_Obot__class_Obot(tc_fun(_u3296, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3296), _u3298)) | ( _u3298 = c_Orderings_Obot__class_Obot(tc_fun(_u3296, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u3296, c_Groups_Otimes__class_Otimes(_u3296)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3296, tc_HOL_Obool)), _u3297), _u3298)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3296), hAPP(c_Finite__Set_Ofold1(_u3296, c_Groups_Otimes__class_Otimes(_u3296)), _u3297)), hAPP(c_Finite__Set_Ofold1(_u3296, c_Groups_Otimes__class_Otimes(_u3296)), _u3298))) )).
% 12.21/12.45 cnf(matrix-2081, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3301), _u3302)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3303), _u3304)) | ~c_Fun_Oinj__on(_u3301, _u3303, _u3299, _u3302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3303, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3301, _u3303, _u3299), _u3302)), _u3304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3301), _u3302)), hAPP(c_Finite__Set_Ocard(_u3303), _u3304))) )).
% 12.21/12.45 cnf(matrix-2082, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3301), _u3302)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3303), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3301), _u3302)), hAPP(c_Finite__Set_Ocard(_u3303), _u3304))) | c_Fun_Oinj__on(_u3301, _u3303, skolem75(_u3304, _u3303, _u3302, _u3301), _u3302) )).
% 12.21/12.45 cnf(matrix-2083, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3301), _u3302)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3303), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3301), _u3302)), hAPP(c_Finite__Set_Ocard(_u3303), _u3304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3303, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3301, _u3303, skolem75(_u3304, _u3303, _u3302, _u3301)), _u3302)), _u3304)) )).
% 12.21/12.45 cnf(matrix-2084, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3305), _u3306)) | ~hBOOL(hAPP(hAPP(c_member(_u3305), _u3307), _u3306)) | ( hAPP(c_Finite__Set_Ocard(_u3305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3305, tc_HOL_Obool)), _u3306), hAPP(hAPP(c_Set_Oinsert(_u3305), _u3307), c_Orderings_Obot__class_Obot(tc_fun(_u3305, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3305), _u3306)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2085, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3305), _u3306)) | hBOOL(hAPP(hAPP(c_member(_u3305), _u3307), _u3306)) | ( hAPP(c_Finite__Set_Ocard(_u3305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3305, tc_HOL_Obool)), _u3306), hAPP(hAPP(c_Set_Oinsert(_u3305), _u3307), c_Orderings_Obot__class_Obot(tc_fun(_u3305, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u3305), _u3306)) )).
% 12.21/12.45 cnf(matrix-2086, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3308), _u3309)) | ~hBOOL(hAPP(hAPP(c_member(_u3308), _u3310), _u3309)) | ( hAPP(c_Finite__Set_Ocard(_u3308), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3308, tc_HOL_Obool)), _u3309), hAPP(hAPP(c_Set_Oinsert(_u3308), _u3310), c_Orderings_Obot__class_Obot(tc_fun(_u3308, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3308), _u3309)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3311), _u3312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3313), _u3311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3311), _u3313)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3312), _u3313))) )).
% 12.21/12.45 cnf(matrix-2088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3314), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3314), _u3316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3315), _u3314)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3316), _u3314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3315), _u3316)) )).
% 12.21/12.45 cnf(matrix-2089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3314), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3314), _u3316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3315), _u3316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3315), _u3314)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3316), _u3314))) )).
% 12.21/12.45 cnf(matrix-2090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3317), _u3318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3317), _u3319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3319), _u3318)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3319), _u3317))) )).
% 12.21/12.45 cnf(matrix-2091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3320), _u3321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3320), _u3322)), _u3321)) )).
% 12.21/12.45 cnf(matrix-2092, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3323), _u3324)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3324), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3323), _u3324)) = _u3323) )).
% 12.21/12.45 cnf(matrix-2093, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3328), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3330), _u3332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3328), _u3332)), _u3330)) )).
% 12.21/12.45 cnf(matrix-2094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3329), _u3333)), _u3331)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3329), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3331), _u3333))) )).
% 12.21/12.45 cnf(matrix-2095, 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)) )).
% 12.21/12.45 cnf(matrix-2096, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3334), _u3334)) )).
% 12.21/12.45 cnf(matrix-2097, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3335), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3336), _u3335))) )).
% 12.21/12.45 cnf(matrix-2098, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3337), _u3338))) )).
% 12.21/12.45 cnf(matrix-2099, 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)), _u3339), _u3340) )).
% 12.21/12.45 cnf(matrix-2100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3345), _u3347)) | ( _u3347 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3345), skolem76(_u3347, _u3345))) )).
% 12.21/12.45 cnf(matrix-2101, plain, ( ( _u3348 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3346), _u3342)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3346), _u3348)) )).
% 12.21/12.45 cnf(matrix-2102, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3349), _u3350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3350), _u3349)) )).
% 12.21/12.45 cnf(matrix-2103, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3356), _u3358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3354), _u3356)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3354), _u3358))) )).
% 12.21/12.45 cnf(matrix-2104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3357), _u3359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3355), _u3357)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3355), _u3359))) )).
% 12.21/12.45 cnf(matrix-2105, plain, ( ( _u3360 != _u3361) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3360), _u3361)) )).
% 12.21/12.45 cnf(matrix-2106, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3362), _u3363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3363), _u3364))) )).
% 12.21/12.45 cnf(matrix-2107, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3365), _u3366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3367), _u3366))) )).
% 12.21/12.45 cnf(matrix-2108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3368), _u3369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3368), _u3370)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3369), _u3370))) )).
% 12.21/12.45 cnf(matrix-2109, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3371), _u3372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3372), _u3373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3371), _u3373)) )).
% 12.21/12.45 cnf(matrix-2110, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3374), _u3375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3375), _u3374)) | ( _u3374 = _u3375) )).
% 12.21/12.45 cnf(matrix-2111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3376), _u3377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3378), _u3379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3376), _u3378)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3377), _u3379))) )).
% 12.21/12.45 cnf(matrix-2112, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3381), _u3382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3380), _u3381)), _u3382)) )).
% 12.21/12.45 cnf(matrix-2113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3383), _u3384)), _u3385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3383), _u3385)) )).
% 12.21/12.45 cnf(matrix-2114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3386), _u3387)), _u3388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3386), _u3388)) )).
% 12.21/12.45 cnf(matrix-2115, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3386), _u3387)), _u3388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3387), _u3388)) )).
% 12.21/12.45 cnf(matrix-2116, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3394)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3389), _u3394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3389), skolem77(_u3394))) )).
% 12.21/12.45 cnf(matrix-2117, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3395)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem78(_u3395, _u3392)), _u3395)) )).
% 12.21/12.45 cnf(matrix-2118, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem78(_u3395, _u3392)), _u3392)) )).
% 12.21/12.45 cnf(matrix-2119, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3399), _u3401) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3403), _u3401)) | ( _u3399 = _u3403) )).
% 12.21/12.45 cnf(matrix-2120, plain, ( ( _u3400 != _u3404) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3400), _u3402) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3404), _u3402)) )).
% 12.21/12.45 cnf(matrix-2121, plain, ( ( _u3410 = _u3412) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3408), _u3410) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3408), _u3412)) )).
% 12.21/12.45 cnf(matrix-2122, plain, ( ( _u3411 != _u3413) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3409), _u3411) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3409), _u3413)) )).
% 12.21/12.45 cnf(matrix-2123, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3414), _u3415)), _u3416) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3415), _u3416))) )).
% 12.21/12.45 cnf(matrix-2124, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3418), _u3419)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3418), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3417), _u3419))) )).
% 12.21/12.45 cnf(matrix-2125, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3420), _u3421) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3421), _u3420)) )).
% 12.21/12.45 cnf(matrix-2126, plain, ( ~class_Groups_Oone(_u3422) | ( c_Groups_Oone__class_Oone(_u3422) != _u3423) | ( _u3423 = c_Groups_Oone__class_Oone(_u3422)) )).
% 12.21/12.45 cnf(matrix-2127, plain, ( ~class_Groups_Oone(_u3422) | ( _u3423 != c_Groups_Oone__class_Oone(_u3422)) | ( c_Groups_Oone__class_Oone(_u3422) = _u3423) )).
% 12.21/12.45 cnf(matrix-2128, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3426), _u3428) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3426 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2129, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3426), _u3428) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3428 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2130, plain, ( ( _u3427 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3429 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3427), _u3429) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2131, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3430), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3430) )).
% 12.21/12.45 cnf(matrix-2132, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3433), _u3435)) | ( _u3433 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2133, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3433), _u3435)) | ( _u3435 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2134, plain, ( ( _u3434 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3436 != 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), _u3434), _u3436)) )).
% 12.21/12.45 cnf(matrix-2135, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3437) = _u3437) )).
% 12.21/12.45 cnf(matrix-2136, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3438), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3439), _u3440)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3438), _u3439)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3438), _u3440))) )).
% 12.21/12.45 cnf(matrix-2137, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3441), _u3442)), _u3443) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3441), _u3443)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3442), _u3443))) )).
% 12.21/12.45 cnf(matrix-2138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3444), _u3445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3446), _u3447)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3444), _u3446)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3445), _u3447))) )).
% 12.21/12.45 cnf(matrix-2139, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3448), _u3449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3450), _u3448)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3450), _u3449))) )).
% 12.21/12.45 cnf(matrix-2140, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3451), _u3452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3451), _u3453)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3453))) )).
% 12.21/12.45 cnf(matrix-2141, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3454), _u3454)))) )).
% 12.21/12.45 cnf(matrix-2142, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3455), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3455))) )).
% 12.21/12.45 cnf(matrix-2143, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3456) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3456), _u3457), c_Groups_Oone__class_Oone(_u3456)) = _u3457) )).
% 12.21/12.45 cnf(matrix-2144, plain, ( ~class_Groups_Omonoid__mult(_u3458) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3458), _u3459), c_Groups_Oone__class_Oone(_u3458)) = _u3459) )).
% 12.21/12.45 cnf(matrix-2145, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3460) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3460), c_Groups_Oone__class_Oone(_u3460)), _u3461) = _u3461) )).
% 12.21/12.45 cnf(matrix-2146, plain, ( ~class_Groups_Omonoid__mult(_u3462) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3462), c_Groups_Oone__class_Oone(_u3462)), _u3463) = _u3463) )).
% 12.21/12.45 cnf(matrix-2147, plain, ( ~class_Rings_Ocomm__semiring__1(_u3464) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3464), c_Groups_Oone__class_Oone(_u3464)), _u3465) = _u3465) )).
% 12.21/12.45 cnf(matrix-2148, plain, ( ~class_Rings_Ocomm__semiring__1(_u3466) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3466), _u3467), c_Groups_Oone__class_Oone(_u3466)) = _u3467) )).
% 12.21/12.45 cnf(matrix-2149, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3470), _u3471)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3470, tc_Nat_Onat), _u3472), _u3471) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3470), _u3468), _u3471)) | ( hAPP(_u3472, _u3468) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2150, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3470), _u3471)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3470, tc_Nat_Onat), _u3472), _u3471) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3470), skolem79(_u3472, _u3471, _u3470)), _u3471)) )).
% 12.21/12.45 cnf(matrix-2151, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3470), _u3471)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3470, tc_Nat_Onat), _u3472), _u3471) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3472, skolem79(_u3472, _u3471, _u3470)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2152, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3473) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3474, _u3473), hAPP(c_COMBK(_u3473, _u3474), c_Groups_Oone__class_Oone(_u3473))), _u3475) = c_Groups_Oone__class_Oone(_u3473)) )).
% 12.21/12.45 cnf(matrix-2153, plain, ( ~class_Rings_Olinordered__semidom(_u3476) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3476), _u3477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3476), _u3477), c_Groups_Oone__class_Oone(_u3476)))) )).
% 12.21/12.45 cnf(matrix-2154, plain, ( ~class_Rings_Olinordered__semidom(_u3478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3478), c_Groups_Oone__class_Oone(_u3478)), _u3479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3478), c_Groups_Oone__class_Oone(_u3478)), _u3480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3478), c_Groups_Oone__class_Oone(_u3478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3478), _u3479), _u3480))) )).
% 12.21/12.45 cnf(matrix-2155, plain, ( ~class_Rings_Ocomm__semiring__1(_u3481) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3481), _u3482), _u3483)), _u3483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3481), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), _u3482), c_Groups_Oone__class_Oone(_u3481))), _u3483)) )).
% 12.21/12.45 cnf(matrix-2156, plain, ( ~class_Rings_Ocomm__semiring__1(_u3484) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3484), _u3485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3484), _u3486), _u3485)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3484), _u3486), c_Groups_Oone__class_Oone(_u3484))), _u3485)) )).
% 12.21/12.45 cnf(matrix-2157, plain, ( ~class_Rings_Ocomm__semiring__1(_u3487) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3487), _u3488), _u3488) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3487), c_Groups_Oone__class_Oone(_u3487)), c_Groups_Oone__class_Oone(_u3487))), _u3488)) )).
% 12.21/12.45 cnf(matrix-2158, plain, ( ~class_Rings_Ocomm__ring__1(_u3489) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3489), _u3490) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3489), hAPP(c_Groups_Ouminus__class_Ouminus(_u3489), c_Groups_Oone__class_Oone(_u3489))), _u3490)) )).
% 12.21/12.45 cnf(matrix-2159, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u3491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3491), _u3492), _u3492) != c_Groups_Oone__class_Oone(_u3491)) | ( _u3492 = c_Groups_Oone__class_Oone(_u3491)) | ( _u3492 = hAPP(c_Groups_Ouminus__class_Ouminus(_u3491), c_Groups_Oone__class_Oone(_u3491))) )).
% 12.21/12.45 cnf(matrix-2160, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u3491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3491), _u3492), _u3492) = c_Groups_Oone__class_Oone(_u3491)) | ( _u3492 != c_Groups_Oone__class_Oone(_u3491)) )).
% 12.21/12.45 cnf(matrix-2161, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u3491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3491), _u3492), _u3492) = c_Groups_Oone__class_Oone(_u3491)) | ( _u3492 != hAPP(c_Groups_Ouminus__class_Ouminus(_u3491), c_Groups_Oone__class_Oone(_u3491))) )).
% 12.21/12.45 cnf(matrix-2162, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3493) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3494, _u3493), _u3495), c_Orderings_Obot__class_Obot(tc_fun(_u3494, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u3493)) )).
% 12.21/12.45 cnf(matrix-2163, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3496) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3497, _u3496), _u3498), c_Orderings_Obot__class_Obot(tc_fun(_u3497, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u3496)) )).
% 12.21/12.45 cnf(matrix-2164, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3499) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3500), _u3501)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3500, _u3499), _u3502), _u3501) = c_Groups_Oone__class_Oone(_u3499)) )).
% 12.21/12.45 cnf(matrix-2165, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3503) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3504), _u3505)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3504, _u3503), _u3506), _u3505) = c_Groups_Oone__class_Oone(_u3503)) )).
% 12.21/12.45 cnf(matrix-2166, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3507), _u3508) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3507, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u3507), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3508)) )).
% 12.21/12.45 cnf(matrix-2167, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3511), _u3513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3511), _u3513)) )).
% 12.21/12.45 cnf(matrix-2168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3511), _u3513)) | ( _u3511 != _u3513) )).
% 12.21/12.45 cnf(matrix-2169, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3512), _u3514)) | ( _u3512 = _u3514) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3512), _u3514)) )).
% 12.21/12.45 cnf(matrix-2170, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3517), _u3519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3517), _u3519)) | ( _u3517 = _u3519) )).
% 12.21/12.45 cnf(matrix-2171, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3518), _u3520)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3518), _u3520)) )).
% 12.21/12.45 cnf(matrix-2172, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3518), _u3520)) | ( _u3518 != _u3520) )).
% 12.21/12.45 cnf(matrix-2173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3521), _u3522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3521), _u3522)) )).
% 12.21/12.45 cnf(matrix-2174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3523), _u3524)) | ( _u3523 = _u3524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3523), _u3524)) )).
% 12.21/12.45 cnf(matrix-2175, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3525), _u3526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3525), _u3526)) )).
% 12.21/12.45 cnf(matrix-2176, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3525), _u3526)) | ( _u3525 != _u3526) )).
% 12.21/12.45 cnf(matrix-2177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3527), _u3528)), _u3529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3527), _u3529)) )).
% 12.21/12.45 cnf(matrix-2178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3530), _u3531)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3532), _u3531) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3530), _u3533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3532), _u3533)) )).
% 12.21/12.45 cnf(matrix-2179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3534), _u3535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3536), _u3537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3534), _u3536)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3535), _u3537))) )).
% 12.21/12.45 cnf(matrix-2180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3538), _u3539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3538), _u3540)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3539), _u3540))) )).
% 12.21/12.45 cnf(matrix-2181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3541), _u3542)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3541), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3543), _u3542))) )).
% 12.21/12.45 cnf(matrix-2182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3544), _u3545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3544), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3545), _u3546))) )).
% 12.21/12.45 cnf(matrix-2183, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3552), _u3554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3550), _u3552)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3550), _u3554))) )).
% 12.21/12.45 cnf(matrix-2184, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3553), _u3555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3551), _u3553)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3551), _u3555))) )).
% 12.21/12.45 cnf(matrix-2185, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3556), _u3557)), _u3557)) )).
% 12.21/12.45 cnf(matrix-2186, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3558), _u3559)), _u3558)) )).
% 12.21/12.45 cnf(matrix-2187, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3560), _u3560)) )).
% 12.21/12.45 cnf(matrix-2188, plain, ( ( _u3563 = _u3565) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3563), _u3565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3565), _u3563)) )).
% 12.21/12.45 cnf(matrix-2189, plain, ( ( _u3564 != _u3566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3564), _u3566)) )).
% 12.21/12.45 cnf(matrix-2190, plain, ( ( _u3564 != _u3566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3566), _u3564)) )).
% 12.21/12.45 cnf(matrix-2191, plain, ( ( _u3567 = _u3568) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3567), _u3568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3568), _u3567)) )).
% 12.21/12.45 cnf(matrix-2192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3569), _u3569)) )).
% 12.21/12.45 cnf(matrix-2193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3570), _u3571)) | ( _u3571 != _u3570) )).
% 12.21/12.45 cnf(matrix-2194, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3572), _u3573)) | ( _u3572 != _u3573) )).
% 12.21/12.45 cnf(matrix-2195, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3574), _u3575)) | ( _u3574 = _u3575) | hBOOL(hAPP(hAPP(_u3576, _u3575), _u3574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3575), _u3574)) )).
% 12.21/12.45 cnf(matrix-2196, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3582)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3577), _u3582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3577), skolem80(_u3582))) )).
% 12.21/12.45 cnf(matrix-2197, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3583)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem81(_u3583, _u3580)), _u3583)) )).
% 12.21/12.45 cnf(matrix-2198, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem81(_u3583, _u3580)), _u3580)) )).
% 12.21/12.45 cnf(matrix-2199, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3585), _u3586)) | ~hBOOL(hAPP(hAPP(c_member(_u3585), _u3587), _u3586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3585, _u3584), hAPP(hAPP(c_COMBC(_u3585, _u3584, _u3584), hAPP(hAPP(c_COMBS(_u3585, _u3584, tc_fun(_u3584, _u3584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3584, tc_fun(_u3584, _u3584)), _u3585), c_If(_u3584)), hAPP(hAPP(c_COMBC(_u3585, _u3585, tc_HOL_Obool), c_fequal), _u3587))), _u3588)), c_Groups_Oone__class_Oone(_u3584))), _u3586) = hAPP(_u3588, _u3587)) )).
% 12.21/12.45 cnf(matrix-2200, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3585), _u3586)) | hBOOL(hAPP(hAPP(c_member(_u3585), _u3587), _u3586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3585, _u3584), hAPP(hAPP(c_COMBC(_u3585, _u3584, _u3584), hAPP(hAPP(c_COMBS(_u3585, _u3584, tc_fun(_u3584, _u3584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3584, tc_fun(_u3584, _u3584)), _u3585), c_If(_u3584)), hAPP(hAPP(c_COMBC(_u3585, _u3585, tc_HOL_Obool), c_fequal), _u3587))), _u3588)), c_Groups_Oone__class_Oone(_u3584))), _u3586) = c_Groups_Oone__class_Oone(_u3584)) )).
% 12.21/12.45 cnf(matrix-2201, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3590), _u3591)) | ~hBOOL(hAPP(hAPP(c_member(_u3590), _u3592), _u3591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3590, _u3589), hAPP(hAPP(c_COMBC(_u3590, _u3589, _u3589), hAPP(hAPP(c_COMBS(_u3590, _u3589, tc_fun(_u3589, _u3589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3589, tc_fun(_u3589, _u3589)), _u3590), c_If(_u3589)), hAPP(c_fequal, _u3592))), _u3593)), c_Groups_Oone__class_Oone(_u3589))), _u3591) = hAPP(_u3593, _u3592)) )).
% 12.21/12.45 cnf(matrix-2202, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3590), _u3591)) | hBOOL(hAPP(hAPP(c_member(_u3590), _u3592), _u3591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3590, _u3589), hAPP(hAPP(c_COMBC(_u3590, _u3589, _u3589), hAPP(hAPP(c_COMBS(_u3590, _u3589, tc_fun(_u3589, _u3589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3589, tc_fun(_u3589, _u3589)), _u3590), c_If(_u3589)), hAPP(c_fequal, _u3592))), _u3593)), c_Groups_Oone__class_Oone(_u3589))), _u3591) = c_Groups_Oone__class_Oone(_u3589)) )).
% 12.21/12.45 cnf(matrix-2203, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3594), _u3595)), _u3595) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u3594), _u3595)) )).
% 12.21/12.45 cnf(matrix-2204, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3596), _u3597)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3598), _u3597)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u3596), _u3598)), _u3597)) )).
% 12.21/12.45 cnf(matrix-2205, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3600), _u3601)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3599), _u3600)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3599), _u3601))) )).
% 12.21/12.45 cnf(matrix-2206, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3602), _u3603)), _u3604) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3602), _u3604)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3603), _u3604))) )).
% 12.21/12.45 cnf(matrix-2207, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3605), _u3606)), _u3606) = _u3605) )).
% 12.21/12.45 cnf(matrix-2208, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3607), _u3608)), _u3607) = _u3608) )).
% 12.21/12.45 cnf(matrix-2209, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3609), _u3610)), _u3611) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3609), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3610), _u3611))) )).
% 12.21/12.45 cnf(matrix-2210, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3612), _u3613)), _u3614) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3612), _u3614)), _u3613)) )).
% 12.21/12.45 cnf(matrix-2211, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3615), _u3616)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3615), _u3617)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3616), _u3617)) )).
% 12.21/12.45 cnf(matrix-2212, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3618), _u3619)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3620), _u3619)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3618), _u3620)) )).
% 12.21/12.45 cnf(matrix-2213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3621), _u3622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3621), _u3623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3622), _u3621)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3621))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3622), _u3623)) )).
% 12.21/12.45 cnf(matrix-2214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3621), _u3622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3621), _u3623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3622), _u3623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3622), _u3621)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3621))) )).
% 12.21/12.45 cnf(matrix-2215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3624), _u3625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3624), _u3626)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3625), _u3624)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3626), _u3624)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3625), _u3626)) )).
% 12.21/12.45 cnf(matrix-2216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3627), _u3628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3627), _u3629)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3628), _u3627) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3629), _u3627)) | ( _u3628 = _u3629) )).
% 12.21/12.45 cnf(matrix-2217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3627), _u3628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3627), _u3629)) | ( _u3628 != _u3629) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3628), _u3627) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3629), _u3627)) )).
% 12.21/12.45 cnf(matrix-2218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3630), _u3631)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3631), _u3632)), _u3630) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3631), _u3630)), _u3632)) )).
% 12.21/12.45 cnf(matrix-2219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3633), _u3634)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3633)), _u3635) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3634), _u3635)), _u3633)) )).
% 12.21/12.45 cnf(matrix-2220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3636), _u3637)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3638), _u3637)), _u3636) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3637), _u3636))) )).
% 12.21/12.45 cnf(matrix-2221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3639), _u3640)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3640), _u3639) != _u3641) | ( _u3640 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3641), _u3639)) )).
% 12.21/12.45 cnf(matrix-2222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3639), _u3640)) | ( _u3640 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3641), _u3639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3640), _u3639) = _u3641) )).
% 12.21/12.45 cnf(matrix-2223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3642), _u3643)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3643), _u3642)), _u3642) = _u3643) )).
% 12.21/12.45 cnf(matrix-2224, plain, ( ~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), _u3646), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3645), _u3644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3646), _u3644)), _u3645)) )).
% 12.21/12.45 cnf(matrix-2225, plain, ( ~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_Oplus__class_Oplus(tc_Nat_Onat), _u3646), _u3644)), _u3645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3646), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3645), _u3644))) )).
% 12.21/12.45 cnf(matrix-2226, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3647), _u3648)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3649), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3648), _u3647)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3649), _u3648)), _u3647)) )).
% 12.21/12.45 cnf(matrix-2227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3650), _u3651)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3651), _u3650)) = _u3651) )).
% 12.21/12.45 cnf(matrix-2228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3652), _u3653)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3653), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3653), _u3652)) = _u3652) )).
% 12.21/12.45 cnf(matrix-2229, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3654), _u3655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3654), _u3656)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3655), _u3656))) )).
% 12.21/12.45 cnf(matrix-2230, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3657), _u3658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3659), _u3658)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3659), _u3657))) )).
% 12.21/12.45 cnf(matrix-2231, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3660), _u3661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3662), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3661), _u3662)), _u3660))) )).
% 12.21/12.45 cnf(matrix-2232, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3666), _u3668)), _u3670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3666), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3670), _u3668))) )).
% 12.21/12.45 cnf(matrix-2233, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3667), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3671), _u3669))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3667), _u3669)), _u3671)) )).
% 12.21/12.45 cnf(matrix-2234, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3672), _u3673)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3674), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3673), _u3672)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3674), _u3672)), _u3673)) )).
% 12.21/12.45 cnf(matrix-2235, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3675), _u3676)), _u3675)) )).
% 12.21/12.45 cnf(matrix-2236, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3677) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3678), _u3679)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3677, _u3678, c_Groups_Otimes__class_Otimes(_u3677)), hAPP(hAPP(c_COMBS(_u3678, _u3677, _u3677), hAPP(hAPP(c_COMBB(_u3677, tc_fun(_u3677, _u3677), _u3678), c_Groups_Otimes__class_Otimes(_u3677)), _u3680)), _u3681)), c_Groups_Oone__class_Oone(_u3677)), _u3679) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3677), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3677, _u3678, c_Groups_Otimes__class_Otimes(_u3677)), _u3680), c_Groups_Oone__class_Oone(_u3677)), _u3679)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3677, _u3678, c_Groups_Otimes__class_Otimes(_u3677)), _u3681), c_Groups_Oone__class_Oone(_u3677)), _u3679))) )).
% 12.21/12.45 cnf(matrix-2237, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3682), _u3683)) | hBOOL(hAPP(hAPP(c_member(_u3682), _u3684), _u3683)) | ( hAPP(c_Finite__Set_Ocard(_u3682), hAPP(hAPP(c_Set_Oinsert(_u3682), _u3684), _u3683)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3682), _u3683))) )).
% 12.21/12.45 cnf(matrix-2238, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3685) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3686), _u3687)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3686, _u3685), _u3688), _u3687) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3685, _u3686, c_Groups_Otimes__class_Otimes(_u3685)), _u3688), c_Groups_Oone__class_Oone(_u3685)), _u3687)) )).
% 12.21/12.45 cnf(matrix-2239, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3685) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3686), _u3687)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3686, _u3685), _u3688), _u3687) = c_Groups_Oone__class_Oone(_u3685)) )).
% 12.21/12.45 cnf(matrix-2240, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3690), _u3691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3690, _u3689), _u3692), _u3691) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3689, _u3690, c_Groups_Otimes__class_Otimes(_u3689)), _u3692), c_Groups_Oone__class_Oone(_u3689)), _u3691)) )).
% 12.21/12.45 cnf(matrix-2241, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3693), _u3694)) | ( hAPP(c_Finite__Set_Ocard(_u3693), hAPP(hAPP(c_Set_Oinsert(_u3693), _u3695), _u3694)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3693), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3693, tc_HOL_Obool)), _u3694), hAPP(hAPP(c_Set_Oinsert(_u3693), _u3695), c_Orderings_Obot__class_Obot(tc_fun(_u3693, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-2242, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3696), _u3697)) | ~hBOOL(hAPP(hAPP(c_member(_u3696), _u3698), _u3697)) | ( hAPP(c_Finite__Set_Ocard(_u3696), _u3697) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3696), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3696, tc_HOL_Obool)), _u3697), hAPP(hAPP(c_Set_Oinsert(_u3696), _u3698), c_Orderings_Obot__class_Obot(tc_fun(_u3696, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-2243, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3699), _u3700)) | ~hBOOL(hAPP(hAPP(c_member(_u3699), _u3701), _u3700)) | hBOOL(hAPP(hAPP(c_member(_u3699), _u3701), _u3702)) | ( hAPP(c_Finite__Set_Ocard(_u3699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3699, tc_HOL_Obool)), _u3700), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3701), _u3702))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3699, tc_HOL_Obool)), _u3700), _u3702))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2244, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3703), _u3704)) | ~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), _u3703), _u3705)), _u3706)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3704), _u3705)), _u3707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3706), 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), _u3704), _u3703)), _u3705)), _u3707))) )).
% 12.21/12.45 cnf(matrix-2245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3703), _u3704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3706), 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), _u3704), _u3703)), _u3705)), _u3707))) | 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), _u3703), _u3705)), _u3706)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3704), _u3705)), _u3707))) )).
% 12.21/12.45 cnf(matrix-2246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3708), _u3709)) | ~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), _u3709), _u3710)), _u3711)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3708), _u3710)), _u3712))) | 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), _u3709), _u3708)), _u3710)), _u3711)), _u3712)) )).
% 12.21/12.45 cnf(matrix-2247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3708), _u3709)) | ~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), _u3709), _u3708)), _u3710)), _u3711)), _u3712)) | 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), _u3709), _u3710)), _u3711)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3708), _u3710)), _u3712))) )).
% 12.21/12.45 cnf(matrix-2248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3713), _u3714)) | ~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), _u3714), _u3715)), _u3716)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3713), _u3715)), _u3717))) | 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), _u3714), _u3713)), _u3715)), _u3716)), _u3717)) )).
% 12.21/12.45 cnf(matrix-2249, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3713), _u3714)) | ~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), _u3714), _u3713)), _u3715)), _u3716)), _u3717)) | 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), _u3714), _u3715)), _u3716)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3713), _u3715)), _u3717))) )).
% 12.21/12.45 cnf(matrix-2250, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3718), _u3719)) | ( 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), _u3719), _u3720)), _u3721)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3718), _u3720)), _u3722)) = 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), _u3719), _u3718)), _u3720)), _u3721)), _u3722)) )).
% 12.21/12.45 cnf(matrix-2251, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3723), _u3724)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3724), _u3725)), _u3726) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3723), _u3725)), _u3727)) | ( 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), _u3724), _u3723)), _u3725)), _u3726) = _u3727) )).
% 12.21/12.45 cnf(matrix-2252, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3723), _u3724)) | ( 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), _u3724), _u3723)), _u3725)), _u3726) != _u3727) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3724), _u3725)), _u3726) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3723), _u3725)), _u3727)) )).
% 12.21/12.45 cnf(matrix-2253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3728), _u3729)) | ~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), _u3728), _u3730)), _u3731)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3729), _u3730)), _u3732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3731), 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), _u3729), _u3728)), _u3730)), _u3732))) )).
% 12.21/12.45 cnf(matrix-2254, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3728), _u3729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3731), 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), _u3729), _u3728)), _u3730)), _u3732))) | 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), _u3728), _u3730)), _u3731)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3729), _u3730)), _u3732))) )).
% 12.21/12.45 cnf(matrix-2255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3733), _u3734)) | ( 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), _u3733), _u3735)), _u3736)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3734), _u3735)), _u3737)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3736), 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), _u3734), _u3733)), _u3735)), _u3737))) )).
% 12.21/12.45 cnf(matrix-2256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3738), _u3739)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3738), _u3740)), _u3741) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3739), _u3740)), _u3742)) | ( _u3741 = 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), _u3739), _u3738)), _u3740)), _u3742)) )).
% 12.21/12.45 cnf(matrix-2257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3738), _u3739)) | ( _u3741 != 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), _u3739), _u3738)), _u3740)), _u3742)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3738), _u3740)), _u3741) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3739), _u3740)), _u3742)) )).
% 12.21/12.45 cnf(matrix-2258, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2259, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-2260, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3743), _u3744)), _u3745) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3744), _u3745))) )).
% 12.21/12.45 cnf(matrix-2261, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3746), _u3747) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3747), _u3746)) )).
% 12.21/12.45 cnf(matrix-2262, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3748), _u3749)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3750), _u3749)), _u3751)) = 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), _u3748), _u3750)), _u3749)), _u3751)) )).
% 12.21/12.45 cnf(matrix-2263, plain, ( hBOOL(hAPP(hAPP(_u3760, _u3758), _u3762)) | ~hBOOL(hAPP(hAPP(c_member(_u3756), _u3758), c_SetInterval_Oord_OatMost(_u3756, _u3760, _u3762))) )).
% 12.21/12.45 cnf(matrix-2264, plain, ( ~hBOOL(hAPP(hAPP(_u3761, _u3759), _u3763)) | hBOOL(hAPP(hAPP(c_member(_u3757), _u3759), c_SetInterval_Oord_OatMost(_u3757, _u3761, _u3763))) )).
% 12.21/12.45 cnf(matrix-2265, plain, ( hBOOL(hAPP(hAPP(_u3772, _u3774), _u3770)) | ~hBOOL(hAPP(hAPP(c_member(_u3768), _u3770), c_SetInterval_Oord_OatLeast(_u3768, _u3772, _u3774))) )).
% 12.21/12.45 cnf(matrix-2266, plain, ( ~hBOOL(hAPP(hAPP(_u3773, _u3775), _u3771)) | hBOOL(hAPP(hAPP(c_member(_u3769), _u3771), c_SetInterval_Oord_OatLeast(_u3769, _u3773, _u3775))) )).
% 12.21/12.45 cnf(matrix-2267, plain, ( hBOOL(hAPP(hAPP(_u3784, _u3782), _u3786)) | ~hBOOL(hAPP(hAPP(c_member(_u3780), _u3782), c_SetInterval_Oord_OlessThan(_u3780, _u3784, _u3786))) )).
% 12.21/12.45 cnf(matrix-2268, plain, ( ~hBOOL(hAPP(hAPP(_u3785, _u3783), _u3787)) | hBOOL(hAPP(hAPP(c_member(_u3781), _u3783), c_SetInterval_Oord_OlessThan(_u3781, _u3785, _u3787))) )).
% 12.21/12.45 cnf(matrix-2269, plain, ( hBOOL(hAPP(hAPP(_u3796, _u3798), _u3794)) | ~hBOOL(hAPP(hAPP(c_member(_u3792), _u3794), c_SetInterval_Oord_OgreaterThan(_u3792, _u3796, _u3798))) )).
% 12.21/12.45 cnf(matrix-2270, plain, ( ~hBOOL(hAPP(hAPP(_u3797, _u3799), _u3795)) | hBOOL(hAPP(hAPP(c_member(_u3793), _u3795), c_SetInterval_Oord_OgreaterThan(_u3793, _u3797, _u3799))) )).
% 12.21/12.45 cnf(matrix-2271, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3805), _u3807), c_SetInterval_Oord_OatLeastAtMost(_u3805, _u3809, _u3811, _u3813))) | hBOOL(hAPP(hAPP(_u3809, _u3811), _u3807)) )).
% 12.21/12.45 cnf(matrix-2272, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3805), _u3807), c_SetInterval_Oord_OatLeastAtMost(_u3805, _u3809, _u3811, _u3813))) | hBOOL(hAPP(hAPP(_u3809, _u3807), _u3813)) )).
% 12.21/12.45 cnf(matrix-2273, plain, ( ~hBOOL(hAPP(hAPP(_u3810, _u3812), _u3808)) | ~hBOOL(hAPP(hAPP(_u3810, _u3808), _u3814)) | hBOOL(hAPP(hAPP(c_member(_u3806), _u3808), c_SetInterval_Oord_OatLeastAtMost(_u3806, _u3810, _u3812, _u3814))) )).
% 12.21/12.45 cnf(matrix-2274, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3820), _u3822), c_SetInterval_Oord_OgreaterThanLessThan(_u3820, _u3824, _u3826, _u3828))) | hBOOL(hAPP(hAPP(_u3824, _u3826), _u3822)) )).
% 12.21/12.45 cnf(matrix-2275, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3820), _u3822), c_SetInterval_Oord_OgreaterThanLessThan(_u3820, _u3824, _u3826, _u3828))) | hBOOL(hAPP(hAPP(_u3824, _u3822), _u3828)) )).
% 12.21/12.45 cnf(matrix-2276, plain, ( ~hBOOL(hAPP(hAPP(_u3825, _u3827), _u3823)) | ~hBOOL(hAPP(hAPP(_u3825, _u3823), _u3829)) | hBOOL(hAPP(hAPP(c_member(_u3821), _u3823), c_SetInterval_Oord_OgreaterThanLessThan(_u3821, _u3825, _u3827, _u3829))) )).
% 12.21/12.45 cnf(matrix-2277, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3836), _u3838), c_SetInterval_Oord_OatLeastLessThan(_u3836, _u3840, _u3842, _u3844, _u3846))) | hBOOL(hAPP(hAPP(_u3840, _u3844), _u3838)) )).
% 12.21/12.45 cnf(matrix-2278, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3836), _u3838), c_SetInterval_Oord_OatLeastLessThan(_u3836, _u3840, _u3842, _u3844, _u3846))) | hBOOL(hAPP(hAPP(_u3842, _u3838), _u3846)) )).
% 12.21/12.45 cnf(matrix-2279, plain, ( ~hBOOL(hAPP(hAPP(_u3841, _u3845), _u3839)) | ~hBOOL(hAPP(hAPP(_u3843, _u3839), _u3847)) | hBOOL(hAPP(hAPP(c_member(_u3837), _u3839), c_SetInterval_Oord_OatLeastLessThan(_u3837, _u3841, _u3843, _u3845, _u3847))) )).
% 12.21/12.45 cnf(matrix-2280, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3854), _u3856), c_SetInterval_Oord_OgreaterThanAtMost(_u3854, _u3858, _u3860, _u3862, _u3864))) | hBOOL(hAPP(hAPP(_u3860, _u3862), _u3856)) )).
% 12.21/12.45 cnf(matrix-2281, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3854), _u3856), c_SetInterval_Oord_OgreaterThanAtMost(_u3854, _u3858, _u3860, _u3862, _u3864))) | hBOOL(hAPP(hAPP(_u3858, _u3856), _u3864)) )).
% 12.21/12.45 cnf(matrix-2282, plain, ( ~hBOOL(hAPP(hAPP(_u3861, _u3863), _u3857)) | ~hBOOL(hAPP(hAPP(_u3859, _u3857), _u3865)) | hBOOL(hAPP(hAPP(c_member(_u3855), _u3857), c_SetInterval_Oord_OgreaterThanAtMost(_u3855, _u3859, _u3861, _u3863, _u3865))) )).
% 12.21/12.45 cnf(matrix-2283, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3866) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3867), _u3868)) | ~hBOOL(hAPP(hAPP(c_member(_u3867), _u3869), _u3868)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3867, _u3866), hAPP(hAPP(c_COMBC(_u3867, _u3866, _u3866), hAPP(hAPP(c_COMBS(_u3867, _u3866, tc_fun(_u3866, _u3866)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3866, tc_fun(_u3866, _u3866)), _u3867), c_If(_u3866)), hAPP(hAPP(c_COMBC(_u3867, _u3867, tc_HOL_Obool), c_fequal), _u3869))), _u3870)), _u3871)), _u3868) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3866), hAPP(_u3870, _u3869)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3866), _u3871), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3867), _u3868)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.21/12.45 cnf(matrix-2284, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3866) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3867), _u3868)) | hBOOL(hAPP(hAPP(c_member(_u3867), _u3869), _u3868)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3867, _u3866), hAPP(hAPP(c_COMBC(_u3867, _u3866, _u3866), hAPP(hAPP(c_COMBS(_u3867, _u3866, tc_fun(_u3866, _u3866)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u3866, tc_fun(_u3866, _u3866)), _u3867), c_If(_u3866)), hAPP(hAPP(c_COMBC(_u3867, _u3867, tc_HOL_Obool), c_fequal), _u3869))), _u3870)), _u3871)), _u3868) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3866), _u3871), hAPP(c_Finite__Set_Ocard(_u3867), _u3868))) )).
% 12.21/12.45 cnf(matrix-2285, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3872), _u3873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3872), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3873), _u3874))) )).
% 12.21/12.45 cnf(matrix-2286, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3875), _u3876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3877), _u3876))) )).
% 12.21/12.45 cnf(matrix-2287, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3878), _u3879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3878), _u3879)) )).
% 12.21/12.45 cnf(matrix-2288, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3880), _u3881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3880), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3881))) )).
% 12.21/12.45 cnf(matrix-2289, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3883), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3883), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3884), _u3885))) )).
% 12.21/12.45 cnf(matrix-2290, plain, ( ~class_Lattices_Olattice(_u3886) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3886), _u3887)) | ~hBOOL(hAPP(hAPP(c_member(_u3886), _u3888), _u3887)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3886, tc_HOL_Obool)), _u3887), hAPP(hAPP(c_Set_Oinsert(_u3886), _u3888), c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3886, _u3887) = _u3888) )).
% 12.21/12.45 cnf(matrix-2291, plain, ( ~class_Lattices_Olattice(_u3886) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3886), _u3887)) | ~hBOOL(hAPP(hAPP(c_member(_u3886), _u3888), _u3887)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3886, tc_HOL_Obool)), _u3887), hAPP(hAPP(c_Set_Oinsert(_u3886), _u3888), c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3886, _u3887) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3886), _u3888), c_Big__Operators_Olattice__class_OSup__fin(_u3886, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3886, tc_HOL_Obool)), _u3887), hAPP(hAPP(c_Set_Oinsert(_u3886), _u3888), c_Orderings_Obot__class_Obot(tc_fun(_u3886, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-2292, plain, ( hBOOL(hAPP(hAPP(c_member(_u3889), _u3890), c_Orderings_Otop__class_Otop(tc_fun(_u3889, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-2293, plain, ( ~class_Rings_Ocomm__semiring__1(_u3891) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3891), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3891), _u3892), _u3893)), _u3894) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3891), hAPP(hAPP(c_Power_Opower__class_Opower(_u3891), _u3892), _u3894)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3891), _u3893), _u3894))) )).
% 12.21/12.45 cnf(matrix-2294, plain, ( ~class_Rings_Ocomm__semiring__1(_u3895) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3895), hAPP(hAPP(c_Power_Opower__class_Opower(_u3895), _u3896), _u3897)), _u3898) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3895), _u3896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3897), _u3898))) )).
% 12.21/12.45 cnf(matrix-2295, plain, ( ~class_Rings_Ocomm__semiring__1(_u3899) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3899), _u3900), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3900) )).
% 12.21/12.45 cnf(matrix-2296, plain, ( ~class_Rings_Ocomm__semiring__1(_u3901) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3901), hAPP(hAPP(c_Power_Opower__class_Opower(_u3901), _u3902), _u3903)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3901), _u3902), _u3904)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3901), _u3902), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3903), _u3904))) )).
% 12.21/12.45 cnf(matrix-2297, plain, ( ~class_Lattices_Olattice(_u3905) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3905, hAPP(hAPP(c_Set_Oinsert(_u3905), _u3906), c_Orderings_Obot__class_Obot(tc_fun(_u3905, tc_HOL_Obool)))) = _u3906) )).
% 12.21/12.45 cnf(matrix-2298, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3907) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3908), _u3909)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3908, _u3907), hAPP(c_COMBK(_u3907, _u3908), _u3910)), _u3909) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3907), _u3910), hAPP(c_Finite__Set_Ocard(_u3908), _u3909))) )).
% 12.21/12.45 cnf(matrix-2299, plain, ( ~class_Lattices_Olattice(_u3911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3911), _u3912)) | ~hBOOL(hAPP(hAPP(c_member(_u3911), _u3913), _u3912)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3911), _u3913), c_Big__Operators_Olattice__class_OSup__fin(_u3911, _u3912)) = c_Big__Operators_Olattice__class_OSup__fin(_u3911, _u3912)) )).
% 12.21/12.45 cnf(matrix-2300, plain, ( ~class_Lattices_Olattice(_u3914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3914), _u3915)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3914, _u3915) = hAPP(c_Finite__Set_Ofold1(_u3914, c_Lattices_Osemilattice__sup__class_Osup(_u3914)), _u3915)) )).
% 12.21/12.45 cnf(matrix-2301, plain, ( ~class_Lattices_Olattice(_u3916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3916), _u3917)) | ( _u3917 = c_Orderings_Obot__class_Obot(tc_fun(_u3916, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3916, hAPP(hAPP(c_Set_Oinsert(_u3916), _u3918), _u3917)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3916), _u3918), c_Big__Operators_Olattice__class_OSup__fin(_u3916, _u3917))) )).
% 12.21/12.45 cnf(matrix-2302, plain, ( ~class_Lattices_Olattice(_u3919) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3919), _u3920)) | ( _u3921 = c_Orderings_Obot__class_Obot(tc_fun(_u3919, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3919, tc_HOL_Obool)), _u3921), _u3920)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3919), c_Big__Operators_Olattice__class_OSup__fin(_u3919, _u3921)), c_Big__Operators_Olattice__class_OSup__fin(_u3919, _u3920)) = c_Big__Operators_Olattice__class_OSup__fin(_u3919, _u3920)) )).
% 12.21/12.45 cnf(matrix-2303, plain, ( ~class_Lattices_Olattice(_u3922) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3922), _u3923)) | ( _u3923 = c_Orderings_Obot__class_Obot(tc_fun(_u3922, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3922), _u3924)) | ( _u3924 = c_Orderings_Obot__class_Obot(tc_fun(_u3922, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3922, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3922, tc_HOL_Obool)), _u3923), _u3924)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3922), c_Big__Operators_Olattice__class_OSup__fin(_u3922, _u3923)), c_Big__Operators_Olattice__class_OSup__fin(_u3922, _u3924))) )).
% 12.21/12.45 cnf(matrix-2304, plain, ( ~class_Lattices_Olattice(_u3925) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3925), _u3926)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3925, hAPP(hAPP(c_Set_Oinsert(_u3925), _u3927), _u3926)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3925, _u3925, c_Lattices_Osemilattice__sup__class_Osup(_u3925)), _u3927), _u3926)) )).
% 12.21/12.45 cnf(matrix-2305, plain, ( ~class_Lattices_Olattice(_u3928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3928), _u3929)) | hBOOL(hAPP(hAPP(c_member(_u3928), _u3930), _u3929)) | ( _u3929 = c_Orderings_Obot__class_Obot(tc_fun(_u3928, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3928, hAPP(hAPP(c_Set_Oinsert(_u3928), _u3930), _u3929)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3928), _u3930), c_Big__Operators_Olattice__class_OSup__fin(_u3928, _u3929))) )).
% 12.21/12.45 cnf(matrix-2306, plain, ( ~class_Lattices_Olattice(_u3931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3932)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3931, tc_HOL_Obool)), _u3932), hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3931, hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), _u3932)) = _u3933) )).
% 12.21/12.45 cnf(matrix-2307, plain, ( ~class_Lattices_Olattice(_u3931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3932)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3931, tc_HOL_Obool)), _u3932), hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3931, hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), _u3932)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3931), _u3933), c_Big__Operators_Olattice__class_OSup__fin(_u3931, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3931, tc_HOL_Obool)), _u3932), hAPP(hAPP(c_Set_Oinsert(_u3931), _u3933), c_Orderings_Obot__class_Obot(tc_fun(_u3931, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-2308, plain, ( ~class_Lattices_Olattice(_u3934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3934), _u3935)) | hBOOL(hAPP(hAPP(c_member(_u3934), _u3936), _u3935)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3934, hAPP(hAPP(c_Set_Oinsert(_u3934), _u3936), _u3935)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3934, _u3934, c_Lattices_Osemilattice__sup__class_Osup(_u3934)), _u3936), _u3935)) )).
% 12.21/12.45 cnf(matrix-2309, plain, ( ~class_Rings_Olinordered__semidom(_u3937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3937), c_Groups_Oone__class_Oone(_u3937)), _u3938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3937), hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), _u3938), _u3939)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), _u3938), _u3940))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3939), _u3940)) )).
% 12.21/12.45 cnf(matrix-2310, plain, ( ~class_Rings_Olinordered__semidom(_u3941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3941), c_Groups_Oone__class_Oone(_u3941)), _u3942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3941), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3943)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3943), _u3944)) )).
% 12.21/12.45 cnf(matrix-2311, plain, ( ~class_Rings_Olinordered__semidom(_u3941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3941), c_Groups_Oone__class_Oone(_u3941)), _u3942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3943), _u3944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3941), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3943)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3944))) )).
% 12.21/12.45 cnf(matrix-2312, plain, ( ~class_Rings_Oring__1(_u3945) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3945), hAPP(c_Groups_Ouminus__class_Ouminus(_u3945), _u3946)), _u3947) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3945), hAPP(hAPP(c_Power_Opower__class_Opower(_u3945), hAPP(c_Groups_Ouminus__class_Ouminus(_u3945), c_Groups_Oone__class_Oone(_u3945))), _u3947)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3945), _u3946), _u3947))) )).
% 12.21/12.45 cnf(matrix-2313, plain, ( ~class_Rings_Olinordered__semidom(_u3948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3949), _u3950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3948), c_Groups_Oone__class_Oone(_u3948)), _u3951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3948), hAPP(hAPP(c_Power_Opower__class_Opower(_u3948), _u3951), _u3949)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3948), _u3951), _u3950))) )).
% 12.21/12.45 cnf(matrix-2314, plain, ( ~class_Rings_Olinordered__semidom(_u3952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3953), _u3954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3952), c_Groups_Oone__class_Oone(_u3952)), _u3955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3952), hAPP(hAPP(c_Power_Opower__class_Opower(_u3952), _u3955), _u3953)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3952), _u3955), _u3954))) )).
% 12.21/12.45 cnf(matrix-2315, plain, ( ~class_Rings_Olinordered__semidom(_u3956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3956), c_Groups_Oone__class_Oone(_u3956)), _u3957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3956), hAPP(hAPP(c_Power_Opower__class_Opower(_u3956), _u3957), _u3958)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3956), _u3957), _u3959))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3958), _u3959)) )).
% 12.21/12.45 cnf(matrix-2316, plain, ( ~class_Rings_Olinordered__semidom(_u3960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), c_Groups_Oone__class_Oone(_u3960)), _u3961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), hAPP(hAPP(c_Power_Opower__class_Opower(_u3960), _u3961), _u3962)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3960), _u3961), _u3963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3962), _u3963)) )).
% 12.21/12.45 cnf(matrix-2317, plain, ( ~class_Rings_Olinordered__semidom(_u3960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), c_Groups_Oone__class_Oone(_u3960)), _u3961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3962), _u3963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), hAPP(hAPP(c_Power_Opower__class_Opower(_u3960), _u3961), _u3962)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3960), _u3961), _u3963))) )).
% 12.21/12.45 cnf(matrix-2318, plain, ( ~class_Rings_Olinordered__semidom(_u3964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3964), c_Groups_Oone__class_Oone(_u3964)), _u3965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3964), hAPP(hAPP(c_Power_Opower__class_Opower(_u3964), _u3965), _u3966)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3964), _u3965), hAPP(hAPP(c_Power_Opower__class_Opower(_u3964), _u3965), _u3966)))) )).
% 12.21/12.45 cnf(matrix-2319, plain, ( ~class_Groups_Omonoid__mult(_u3967) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3967), hAPP(hAPP(c_Power_Opower__class_Opower(_u3967), _u3968), _u3969)), _u3968) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3967), _u3968), hAPP(hAPP(c_Power_Opower__class_Opower(_u3967), _u3968), _u3969))) )).
% 12.21/12.45 cnf(matrix-2320, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3970) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3970), _u3971), _u3972)), _u3973) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3970), hAPP(hAPP(c_Power_Opower__class_Opower(_u3970), _u3971), _u3973)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3970), _u3972), _u3973))) )).
% 12.21/12.45 cnf(matrix-2321, plain, ( ~class_Groups_Omonoid__mult(_u3974) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3974), c_Groups_Oone__class_Oone(_u3974)), _u3975) = c_Groups_Oone__class_Oone(_u3974)) )).
% 12.21/12.45 cnf(matrix-2322, plain, ( ~class_Groups_Omonoid__mult(_u3976) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3976), _u3977), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3978), _u3979)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3976), hAPP(hAPP(c_Power_Opower__class_Opower(_u3976), _u3977), _u3978)), _u3979)) )).
% 12.21/12.45 cnf(matrix-2323, plain, ( ~class_Groups_Omonoid__mult(_u3980) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3980), _u3981), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3981) )).
% 12.21/12.45 cnf(matrix-2324, plain, ( ~class_Rings_Olinordered__semidom(_u3982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), c_Groups_Oone__class_Oone(_u3982)), _u3983)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), c_Groups_Oone__class_Oone(_u3982)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3982), _u3983), _u3984))) )).
% 12.21/12.45 cnf(matrix-2325, plain, ( ~class_Rings_Olinordered__semidom(_u3985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3985), c_Groups_Oone__class_Oone(_u3985)), _u3986)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3985), _u3986), _u3987) != hAPP(hAPP(c_Power_Opower__class_Opower(_u3985), _u3986), _u3988)) | ( _u3987 = _u3988) )).
% 12.21/12.45 cnf(matrix-2326, plain, ( ~class_Rings_Olinordered__semidom(_u3985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3985), c_Groups_Oone__class_Oone(_u3985)), _u3986)) | ( _u3987 != _u3988) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3985), _u3986), _u3987) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3985), _u3986), _u3988)) )).
% 12.21/12.45 cnf(matrix-2327, plain, ( ~class_Groups_Omonoid__mult(_u3989) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3989), _u3990), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3991), _u3992)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3989), hAPP(hAPP(c_Power_Opower__class_Opower(_u3989), _u3990), _u3991)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3989), _u3990), _u3992))) )).
% 12.21/12.45 cnf(matrix-2328, plain, ( ~class_Rings_Olinordered__semidom(_u3993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3993), c_Groups_Oone__class_Oone(_u3993)), _u3994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3993), c_Groups_Oone__class_Oone(_u3993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3993), _u3994), hAPP(hAPP(c_Power_Opower__class_Opower(_u3993), _u3994), _u3995)))) )).
% 12.21/12.45 cnf(matrix-2329, plain, ( ~class_Power_Opower(_u3996) | ( c_Power_Opower__class_Opower(_u3996) = c_Power_Opower_Opower(_u3996, c_Groups_Oone__class_Oone(_u3996), c_Groups_Otimes__class_Otimes(_u3996))) )).
% 12.21/12.45 cnf(matrix-2330, plain, ( ~class_Lattices_Olattice(_u3999) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3999), _u4000)) | ( _u4000 = c_Orderings_Obot__class_Obot(tc_fun(_u3999, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3999), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3999), skolem82(_u4000, _u3999)), skolem83(_u4000, _u3999))), hAPP(hAPP(c_Set_Oinsert(_u3999), skolem82(_u4000, _u3999)), hAPP(hAPP(c_Set_Oinsert(_u3999), skolem83(_u4000, _u3999)), c_Orderings_Obot__class_Obot(tc_fun(_u3999, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3999), c_Big__Operators_Olattice__class_OSup__fin(_u3999, _u4000)), _u4000)) )).
% 12.21/12.45 cnf(matrix-2331, plain, ( ~c_Fun_Oinj__on(_u4001, _u4002, _u4003, c_Orderings_Otop__class_Otop(tc_fun(_u4001, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4001, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4001, _u4002, _u4003), hAPP(hAPP(c_Set_Oinsert(_u4002), _u4004), c_Orderings_Obot__class_Obot(tc_fun(_u4002, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u4001), c_HOL_OThe(_u4001, hAPP(hAPP(c_COMBC(_u4001, _u4002, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u4002, tc_fun(_u4002, tc_HOL_Obool), _u4001), c_fequal), _u4003)), _u4004))), c_Orderings_Obot__class_Obot(tc_fun(_u4001, tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-2332, plain, ( ~class_Lattices_Olattice(_u4007) | ( hAPP(_u4008, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4007), skolem84(_u4009, _u4008, _u4007)), skolem85(_u4009, _u4008, _u4007))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4007), hAPP(_u4008, skolem84(_u4009, _u4008, _u4007))), hAPP(_u4008, skolem85(_u4009, _u4008, _u4007)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4007), _u4009)) | ( _u4009 = c_Orderings_Obot__class_Obot(tc_fun(_u4007, tc_HOL_Obool))) | ( hAPP(_u4008, c_Big__Operators_Olattice__class_OSup__fin(_u4007, _u4009)) = c_Big__Operators_Olattice__class_OSup__fin(_u4007, hAPP(c_Set_Oimage(_u4007, _u4007, _u4008), _u4009))) )).
% 12.21/12.45 cnf(matrix-2333, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4010) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4011), _u4012)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4011, _u4010), _u4012), _u4013) = hAPP(hAPP(c_Finite__Set_Ofold(_u4011, _u4010, hAPP(hAPP(c_COMBB(_u4010, tc_fun(_u4010, _u4010), _u4011), c_Lattices_Osemilattice__sup__class_Osup(_u4010)), _u4013)), c_Orderings_Obot__class_Obot(_u4010)), _u4012)) )).
% 12.21/12.45 cnf(matrix-2334, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4016), _u4017)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4016, tc_HOL_Obool)), _u4018), _u4017)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4016, _u4015), _u4019), _u4017) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4016, _u4015), _u4019), _u4018)) | hBOOL(hAPP(hAPP(c_member(_u4016), skolem86(_u4019, _u4018, _u4017, _u4016, _u4015)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4016, tc_HOL_Obool)), _u4017), _u4018))) )).
% 12.21/12.45 cnf(matrix-2335, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4016), _u4017)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4016, tc_HOL_Obool)), _u4018), _u4017)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4016, _u4015), _u4019), _u4017) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4016, _u4015), _u4019), _u4018)) | ( hAPP(_u4019, skolem86(_u4019, _u4018, _u4017, _u4016, _u4015)) != c_Groups_Oone__class_Oone(_u4015)) )).
% 12.21/12.45 cnf(matrix-2336, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4022), _u4023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4022, tc_HOL_Obool)), _u4024), _u4023)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4022, _u4021), _u4025), _u4024) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4022, _u4021), _u4025), _u4023)) | hBOOL(hAPP(hAPP(c_member(_u4022), skolem87(_u4025, _u4024, _u4023, _u4022, _u4021)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4022, tc_HOL_Obool)), _u4023), _u4024))) )).
% 12.21/12.45 cnf(matrix-2337, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4022), _u4023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4022, tc_HOL_Obool)), _u4024), _u4023)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4022, _u4021), _u4025), _u4024) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4022, _u4021), _u4025), _u4023)) | ( hAPP(_u4025, skolem87(_u4025, _u4024, _u4023, _u4022, _u4021)) != c_Groups_Oone__class_Oone(_u4021)) )).
% 12.21/12.45 cnf(matrix-2338, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4027), _u4028)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4027), _u4029)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4027, tc_HOL_Obool)), _u4028), _u4029) != c_Orderings_Obot__class_Obot(tc_fun(_u4027, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4026, _u4027, c_Groups_Otimes__class_Otimes(_u4026)), _u4030), c_Groups_Oone__class_Oone(_u4026)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4027, tc_HOL_Obool)), _u4028), _u4029)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4026), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4026, _u4027, c_Groups_Otimes__class_Otimes(_u4026)), _u4030), c_Groups_Oone__class_Oone(_u4026)), _u4028)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4026, _u4027, c_Groups_Otimes__class_Otimes(_u4026)), _u4030), c_Groups_Oone__class_Oone(_u4026)), _u4029))) )).
% 12.21/12.45 cnf(matrix-2339, plain, ( ~hBOOL(hAPP(_u4031, _u4032)) | ~hBOOL(hAPP(_u4033, _u4032)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4034, tc_HOL_Obool)), _u4031), _u4033), _u4032)) )).
% 12.21/12.45 cnf(matrix-2340, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4035, tc_HOL_Obool)), _u4036), _u4037), _u4038)) | hBOOL(hAPP(_u4036, _u4038)) )).
% 12.21/12.45 cnf(matrix-2341, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4035, tc_HOL_Obool)), _u4036), _u4037), _u4038)) | hBOOL(hAPP(_u4037, _u4038)) )).
% 12.21/12.45 cnf(matrix-2342, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4039), _u4040), _u4041)) | ~hBOOL(hAPP(hAPP(_u4042, _u4040), _u4043)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4039, tc_fun(_u4044, tc_HOL_Obool)), _u4041), _u4042), _u4043)) )).
% 12.21/12.45 cnf(matrix-2343, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4045), _u4046), _u4047)) | ~hBOOL(hAPP(hAPP(hAPP(_u4048, _u4046), _u4049), _u4050)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4045, tc_fun(_u4051, tc_fun(_u4052, tc_HOL_Obool))), _u4047), _u4048), _u4049), _u4050)) )).
% 12.21/12.45 cnf(matrix-2344, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4053), _u4054), _u4055)) | ~hBOOL(hAPP(hAPP(c_member(_u4053), _u4054), _u4056)) | hBOOL(hAPP(hAPP(c_member(_u4053), _u4054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4053, tc_HOL_Obool)), _u4055), _u4056))) )).
% 12.21/12.45 cnf(matrix-2345, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4057), _u4058), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4057, tc_HOL_Obool)), _u4059), _u4060))) | hBOOL(hAPP(hAPP(c_member(_u4057), _u4058), _u4059)) )).
% 12.21/12.45 cnf(matrix-2346, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4057), _u4058), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4057, tc_HOL_Obool)), _u4059), _u4060))) | hBOOL(hAPP(hAPP(c_member(_u4057), _u4058), _u4060)) )).
% 12.21/12.45 cnf(matrix-2347, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4061), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4061, tc_HOL_Obool)), _u4062), _u4063))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4061), _u4062)) )).
% 12.21/12.45 cnf(matrix-2348, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4061), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4061, tc_HOL_Obool)), _u4062), _u4063))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4061), _u4063)) )).
% 12.21/12.45 cnf(matrix-2349, plain, ( ( hAPP(_u4064, _u4065) != _u4066) | ~hBOOL(hAPP(hAPP(c_member(_u4067), _u4066), _u4068)) | hBOOL(hAPP(hAPP(c_member(_u4069), _u4065), hAPP(c_Set_Ovimage(_u4069, _u4067, _u4064), _u4068))) )).
% 12.21/12.45 cnf(matrix-2350, plain, ( ~class_Lattices_Olattice(_u4070) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4070), _u4071), _u4071) = _u4071) )).
% 12.21/12.45 cnf(matrix-2351, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4072, tc_HOL_Obool)), _u4073), _u4073) = _u4073) )).
% 12.21/12.45 cnf(matrix-2352, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4074, tc_HOL_Obool)), _u4075), _u4076) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4074, tc_HOL_Obool)), _u4076), _u4075)) )).
% 12.21/12.45 cnf(matrix-2353, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4077, tc_HOL_Obool)), _u4078), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4077, tc_HOL_Obool)), _u4078), _u4079)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4077, tc_HOL_Obool)), _u4078), _u4079)) )).
% 12.21/12.45 cnf(matrix-2354, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4081), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4082), _u4083)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4082), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4081), _u4083))) )).
% 12.21/12.45 cnf(matrix-2355, plain, ( ( hAPP(c_Set_Ovimage(_u4084, _u4085, _u4086), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4085, tc_HOL_Obool)), _u4087), _u4088)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4084, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4084, _u4085, _u4086), _u4087)), hAPP(c_Set_Ovimage(_u4084, _u4085, _u4086), _u4088))) )).
% 12.21/12.45 cnf(matrix-2356, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4089, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4089, tc_HOL_Obool)), _u4090), _u4091)), _u4092) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4089, tc_HOL_Obool)), _u4090), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4089, tc_HOL_Obool)), _u4091), _u4092))) )).
% 12.21/12.45 cnf(matrix-2357, plain, ( hBOOL(hAPP(_u4104, hAPP(_u4102, _u4106))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u4098, _u4100, _u4102), _u4104), _u4106)) )).
% 12.21/12.45 cnf(matrix-2358, plain, ( ~hBOOL(hAPP(_u4105, hAPP(_u4103, _u4107))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u4099, _u4101, _u4103), _u4105), _u4107)) )).
% 12.21/12.45 cnf(matrix-2359, plain, ( hBOOL(hAPP(_u4109, _u4111)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4108, tc_HOL_Obool)), _u4109), _u4110), _u4111)) )).
% 12.21/12.45 cnf(matrix-2360, plain, ( hBOOL(hAPP(_u4114, _u4115)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4112, tc_HOL_Obool)), _u4113), _u4114), _u4115)) )).
% 12.21/12.45 cnf(matrix-2361, plain, ( ~class_Lattices_Osemilattice__inf(_u4116) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4116), _u4117), _u4117) = _u4117) )).
% 12.21/12.45 cnf(matrix-2362, plain, ( ~class_Lattices_Osemilattice__inf(_u4118) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4118), _u4119), _u4119) = _u4119) )).
% 12.21/12.45 cnf(matrix-2363, plain, ( ~class_Lattices_Olattice(_u4120) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4121, _u4120)), _u4122), _u4123), _u4124) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4120), hAPP(_u4122, _u4124)), hAPP(_u4123, _u4124))) )).
% 12.21/12.45 cnf(matrix-2364, plain, ( ~class_Lattices_Osemilattice__inf(_u4125) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4125), _u4126), _u4127) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4125), _u4127), _u4126)) )).
% 12.21/12.45 cnf(matrix-2365, plain, ( ~class_Lattices_Olattice(_u4128) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4128), _u4129), _u4130) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4128), _u4130), _u4129)) )).
% 12.21/12.45 cnf(matrix-2366, plain, ( ~class_Lattices_Osemilattice__inf(_u4131) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4131), _u4132), _u4133) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4131), _u4133), _u4132)) )).
% 12.21/12.45 cnf(matrix-2367, plain, ( ~class_Lattices_Osemilattice__inf(_u4134) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4134), _u4135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4134), _u4135), _u4136)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4134), _u4135), _u4136)) )).
% 12.21/12.45 cnf(matrix-2368, plain, ( ~class_Lattices_Olattice(_u4137) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4138), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4138), _u4139)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4138), _u4139)) )).
% 12.21/12.45 cnf(matrix-2369, plain, ( ~class_Lattices_Osemilattice__inf(_u4140) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4140), _u4141), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4140), _u4141), _u4142)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4140), _u4141), _u4142)) )).
% 12.21/12.45 cnf(matrix-2370, plain, ( ~class_Lattices_Osemilattice__inf(_u4143) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4143), _u4144), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4143), _u4145), _u4146)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4143), _u4145), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4143), _u4144), _u4146))) )).
% 12.21/12.45 cnf(matrix-2371, plain, ( ~class_Lattices_Olattice(_u4147) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4147), _u4148), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4147), _u4149), _u4150)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4147), _u4149), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4147), _u4148), _u4150))) )).
% 12.21/12.45 cnf(matrix-2372, plain, ( ~class_Lattices_Osemilattice__inf(_u4151) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4151), _u4152), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4151), _u4153), _u4154)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4151), _u4153), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4151), _u4152), _u4154))) )).
% 12.21/12.45 cnf(matrix-2373, plain, ( ~class_Lattices_Osemilattice__inf(_u4155) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4155), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4155), _u4156), _u4157)), _u4158) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4155), _u4156), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4155), _u4157), _u4158))) )).
% 12.21/12.45 cnf(matrix-2374, plain, ( ~class_Lattices_Olattice(_u4159) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4159), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4159), _u4160), _u4161)), _u4162) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4159), _u4160), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4159), _u4161), _u4162))) )).
% 12.21/12.45 cnf(matrix-2375, plain, ( ~class_Lattices_Osemilattice__inf(_u4163) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4163), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4163), _u4164), _u4165)), _u4166) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4163), _u4164), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4163), _u4165), _u4166))) )).
% 12.21/12.45 cnf(matrix-2376, plain, ( ~class_Lattices_Olattice(_u4167) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4168, _u4167)), _u4169), _u4170), _u4171) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4167), hAPP(_u4169, _u4171)), hAPP(_u4170, _u4171))) )).
% 12.21/12.45 cnf(matrix-2377, plain, ( ( hAPP(c_Set_Ovimage(_u4172, _u4172, c_COMBI(_u4172)), _u4173) = _u4173) )).
% 12.21/12.45 cnf(matrix-2378, plain, ( ( hAPP(c_Set_Oimage(_u4174, _u4175, _u4176), hAPP(c_Set_Ovimage(_u4174, _u4175, _u4176), _u4177)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4175, tc_HOL_Obool)), _u4177), hAPP(c_Set_Oimage(_u4174, _u4175, _u4176), c_Orderings_Otop__class_Otop(tc_fun(_u4174, tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-2379, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4181)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4180, tc_fun(_u4182, tc_HOL_Obool)), _u4181), _u4183))) | ~hBOOL(hAPP(hAPP(c_member(_u4180), _u4178), _u4181)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(_u4183, _u4178))) )).
% 12.21/12.45 cnf(matrix-2380, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4181)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4180, tc_fun(_u4182, tc_HOL_Obool)), _u4181), _u4183))) | hBOOL(hAPP(hAPP(c_member(_u4180), skolem88(_u4183, _u4182, _u4181, _u4180)), _u4181)) )).
% 12.21/12.45 cnf(matrix-2381, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4181)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4180, tc_fun(_u4182, tc_HOL_Obool)), _u4181), _u4183))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4182), hAPP(_u4183, skolem88(_u4183, _u4182, _u4181, _u4180)))) )).
% 12.21/12.45 cnf(matrix-2382, plain, ( ~class_Lattices_Olattice(_u4184) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4184), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4184), _u4185), _u4186)), _u4185)) )).
% 12.21/12.45 cnf(matrix-2383, plain, ( ~class_Lattices_Osemilattice__inf(_u4187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4187), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4187), _u4188), _u4189)), _u4188)) )).
% 12.21/12.45 cnf(matrix-2384, plain, ( ~class_Lattices_Olattice(_u4190) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4190), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4190), _u4191), _u4192)), _u4192)) )).
% 12.21/12.45 cnf(matrix-2385, plain, ( ~class_Lattices_Osemilattice__inf(_u4193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4193), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4193), _u4194), _u4195)), _u4195)) )).
% 12.21/12.45 cnf(matrix-2386, plain, ( ~class_Lattices_Osemilattice__inf(_u4196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4196), _u4197), _u4198)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4196), _u4197), _u4198) = _u4197) )).
% 12.21/12.45 cnf(matrix-2387, plain, ( ~class_Lattices_Osemilattice__inf(_u4196) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4196), _u4197), _u4198) != _u4197) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4196), _u4197), _u4198)) )).
% 12.21/12.45 cnf(matrix-2388, plain, ( ~class_Lattices_Osemilattice__inf(_u4199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4199), _u4201), _u4202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), _u4201)) )).
% 12.21/12.45 cnf(matrix-2389, plain, ( ~class_Lattices_Osemilattice__inf(_u4199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4199), _u4201), _u4202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), _u4202)) )).
% 12.21/12.45 cnf(matrix-2390, plain, ( ~class_Lattices_Osemilattice__inf(_u4199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), _u4201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), _u4202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4199), _u4200), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4199), _u4201), _u4202))) )).
% 12.21/12.45 cnf(matrix-2391, plain, ( ~class_Lattices_Osemilattice__inf(_u4203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4203), _u4204), _u4205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4203), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4203), _u4204), _u4206)), _u4205)) )).
% 12.21/12.45 cnf(matrix-2392, plain, ( ~class_Lattices_Osemilattice__inf(_u4207) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4207), _u4208), _u4209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4207), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4207), _u4210), _u4208)), _u4209)) )).
% 12.21/12.45 cnf(matrix-2393, plain, ( ~class_Lattices_Osemilattice__inf(_u4211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4211), _u4212), _u4213)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4211), _u4212), _u4213) = _u4212) )).
% 12.21/12.45 cnf(matrix-2394, plain, ( ~class_Lattices_Osemilattice__inf(_u4214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), _u4215), _u4216)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4214), _u4216), _u4215) = _u4215) )).
% 12.21/12.45 cnf(matrix-2395, plain, ( ~class_Lattices_Osemilattice__inf(_u4217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4217), _u4218), _u4219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4217), _u4218), _u4220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4217), _u4218), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4217), _u4219), _u4220))) )).
% 12.21/12.45 cnf(matrix-2396, plain, ( ~class_Lattices_Osemilattice__inf(_u4221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4221), _u4222), _u4223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4221), _u4222), _u4224)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4221), _u4222), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4221), _u4223), _u4224))) )).
% 12.21/12.45 cnf(matrix-2397, plain, ( ~class_Lattices_Osemilattice__inf(_u4225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), _u4226), _u4227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), _u4228), _u4229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4225), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4225), _u4226), _u4228)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4225), _u4227), _u4229))) )).
% 12.21/12.45 cnf(matrix-2398, plain, ( ~class_Lattices_Osemilattice__inf(_u4230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4230), _u4231), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4230), _u4232), _u4233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4230), _u4231), _u4232)) )).
% 12.21/12.45 cnf(matrix-2399, plain, ( ~class_Lattices_Osemilattice__inf(_u4230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4230), _u4231), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4230), _u4232), _u4233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4230), _u4231), _u4233)) )).
% 12.21/12.45 cnf(matrix-2400, plain, ( ~class_Lattices_Osemilattice__inf(_u4234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4234), _u4235), _u4236)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4234), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4234), _u4235), _u4237)), _u4236)) )).
% 12.21/12.45 cnf(matrix-2401, plain, ( ~class_Lattices_Osemilattice__inf(_u4238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), _u4239), _u4240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4238), _u4241), _u4239)), _u4240)) )).
% 12.21/12.45 cnf(matrix-2402, plain, ( ~class_Lattices_Obounded__lattice__bot(_u4242) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4242), c_Orderings_Obot__class_Obot(_u4242)), _u4243) = c_Orderings_Obot__class_Obot(_u4242)) )).
% 12.21/12.45 cnf(matrix-2403, plain, ( ~class_Lattices_Obounded__lattice__bot(_u4244) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4244), _u4245), c_Orderings_Obot__class_Obot(_u4244)) = c_Orderings_Obot__class_Obot(_u4244)) )).
% 12.21/12.45 cnf(matrix-2404, plain, ( ~class_Lattices_Olattice(_u4246) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4246), _u4247), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4246), _u4247), _u4248)) = _u4247) )).
% 12.21/12.45 cnf(matrix-2405, plain, ( ~class_Lattices_Olattice(_u4249) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4249), _u4250), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4249), _u4250), _u4251)) = _u4250) )).
% 12.21/12.45 cnf(matrix-2406, plain, ( ~class_Lattices_Odistrib__lattice(_u4252) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4252), _u4253), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4252), _u4254), _u4255)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4252), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4252), _u4253), _u4254)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4252), _u4253), _u4255))) )).
% 12.21/12.45 cnf(matrix-2407, plain, ( ~class_Lattices_Odistrib__lattice(_u4256) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4256), _u4257), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4256), _u4258), _u4259)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4256), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4256), _u4257), _u4258)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4256), _u4257), _u4259))) )).
% 12.21/12.45 cnf(matrix-2408, plain, ( ~class_Lattices_Odistrib__lattice(_u4260) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4260), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4260), _u4261), _u4262)), _u4263) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4260), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4260), _u4261), _u4263)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4260), _u4262), _u4263))) )).
% 12.21/12.45 cnf(matrix-2409, plain, ( ~class_Lattices_Odistrib__lattice(_u4264) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4264), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4264), _u4265), _u4266)), _u4267) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4264), _u4265), _u4267)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4264), _u4266), _u4267))) )).
% 12.21/12.45 cnf(matrix-2410, plain, ( ~class_Lattices_Obounded__lattice__top(_u4268) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4268), c_Orderings_Otop__class_Otop(_u4268)), _u4269) = _u4269) )).
% 12.21/12.45 cnf(matrix-2411, plain, ( ~class_Lattices_Obounded__lattice__top(_u4270) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4270), _u4271), c_Orderings_Otop__class_Otop(_u4270)) = _u4271) )).
% 12.21/12.45 cnf(matrix-2412, plain, ( ~class_Lattices_Obounded__lattice__top(_u4272) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4272), _u4273), _u4274) != c_Orderings_Otop__class_Otop(_u4272)) | ( _u4273 = c_Orderings_Otop__class_Otop(_u4272)) )).
% 12.21/12.45 cnf(matrix-2413, plain, ( ~class_Lattices_Obounded__lattice__top(_u4272) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4272), _u4273), _u4274) != c_Orderings_Otop__class_Otop(_u4272)) | ( _u4274 = c_Orderings_Otop__class_Otop(_u4272)) )).
% 12.21/12.45 cnf(matrix-2414, plain, ( ~class_Lattices_Obounded__lattice__top(_u4272) | ( _u4273 != c_Orderings_Otop__class_Otop(_u4272)) | ( _u4274 != c_Orderings_Otop__class_Otop(_u4272)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4272), _u4273), _u4274) = c_Orderings_Otop__class_Otop(_u4272)) )).
% 12.21/12.45 cnf(matrix-2415, plain, ( hBOOL(hAPP(hAPP(c_member(_u4284), hAPP(_u4286, _u4282)), _u4288)) | ~hBOOL(hAPP(hAPP(c_member(_u4280), _u4282), hAPP(c_Set_Ovimage(_u4280, _u4284, _u4286), _u4288))) )).
% 12.21/12.45 cnf(matrix-2416, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4285), hAPP(_u4287, _u4283)), _u4289)) | hBOOL(hAPP(hAPP(c_member(_u4281), _u4283), hAPP(c_Set_Ovimage(_u4281, _u4285, _u4287), _u4289))) )).
% 12.21/12.45 cnf(matrix-2417, plain, ( hBOOL(hAPP(hAPP(c_member(_u4292), hAPP(_u4293, _u4291)), _u4294)) | ~hBOOL(hAPP(hAPP(c_member(_u4290), _u4291), hAPP(c_Set_Ovimage(_u4290, _u4292, _u4293), _u4294))) )).
% 12.21/12.45 cnf(matrix-2418, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4295), hAPP(_u4296, _u4297)), _u4298)) | hBOOL(hAPP(hAPP(c_member(_u4299), _u4297), hAPP(c_Set_Ovimage(_u4299, _u4295, _u4296), _u4298))) )).
% 12.21/12.45 cnf(matrix-2419, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4304), _u4306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4304, tc_HOL_Obool)), _u4308), _u4310))) | hBOOL(hAPP(hAPP(c_member(_u4304), _u4306), _u4308)) )).
% 12.21/12.45 cnf(matrix-2420, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4304), _u4306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4304, tc_HOL_Obool)), _u4308), _u4310))) | hBOOL(hAPP(hAPP(c_member(_u4304), _u4306), _u4310)) )).
% 12.21/12.45 cnf(matrix-2421, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4305), _u4307), _u4309)) | ~hBOOL(hAPP(hAPP(c_member(_u4305), _u4307), _u4311)) | hBOOL(hAPP(hAPP(c_member(_u4305), _u4307), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4305, tc_HOL_Obool)), _u4309), _u4311))) )).
% 12.21/12.45 cnf(matrix-2422, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4312), _u4313), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4312, tc_HOL_Obool)), _u4314), _u4315))) | hBOOL(hAPP(hAPP(c_member(_u4312), _u4313), _u4314)) )).
% 12.21/12.45 cnf(matrix-2423, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4316), _u4317), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4316, tc_HOL_Obool)), _u4318), _u4319))) | hBOOL(hAPP(hAPP(c_member(_u4316), _u4317), _u4319)) )).
% 12.21/12.45 cnf(matrix-2424, plain, ( ~class_Lattices_Osemilattice__inf(_u4320) | ~class_Orderings_Olinorder(_u4320) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u4320) = c_Orderings_Oord__class_Omin(_u4320)) )).
% 12.21/12.45 cnf(matrix-2425, plain, ( ( hAPP(c_Set_Ovimage(_u4321, _u4322, _u4323), c_Orderings_Obot__class_Obot(tc_fun(_u4322, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4321, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2426, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4324, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u4324, tc_HOL_Obool))), _u4325) = c_Orderings_Obot__class_Obot(tc_fun(_u4324, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2427, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4326, tc_HOL_Obool)), _u4327), c_Orderings_Obot__class_Obot(tc_fun(_u4326, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4326, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2428, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4335, tc_HOL_Obool)), _u4337), _u4339) != c_Orderings_Obot__class_Obot(tc_fun(_u4335, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4335), _u4329), _u4337)) | ~hBOOL(hAPP(hAPP(c_member(_u4335), _u4328), _u4339)) | ( _u4329 != _u4328) )).
% 12.21/12.45 cnf(matrix-2429, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4336, tc_HOL_Obool)), _u4338), _u4340) = c_Orderings_Obot__class_Obot(tc_fun(_u4336, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4336), skolem89(_u4340, _u4338, _u4336)), _u4338)) )).
% 12.21/12.45 cnf(matrix-2430, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4336, tc_HOL_Obool)), _u4338), _u4340) = c_Orderings_Obot__class_Obot(tc_fun(_u4336, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4336), skolem90(_u4340, _u4338, _u4336)), _u4340)) )).
% 12.21/12.45 cnf(matrix-2431, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4336, tc_HOL_Obool)), _u4338), _u4340) = c_Orderings_Obot__class_Obot(tc_fun(_u4336, tc_HOL_Obool))) | ( skolem89(_u4340, _u4338, _u4336) = skolem90(_u4340, _u4338, _u4336)) )).
% 12.21/12.45 cnf(matrix-2432, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4341, tc_HOL_Obool)), _u4342), _u4343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4344, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4344, _u4341, _u4345), _u4342)), hAPP(c_Set_Ovimage(_u4344, _u4341, _u4345), _u4343))) )).
% 12.21/12.45 cnf(matrix-2433, plain, ( ( hAPP(c_Set_Ovimage(_u4346, _u4347, _u4348), c_Orderings_Otop__class_Otop(tc_fun(_u4347, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4346, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2434, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4349, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4349), _u4350), _u4351)), hAPP(hAPP(c_Set_Oinsert(_u4349), _u4350), _u4352)) = hAPP(hAPP(c_Set_Oinsert(_u4349), _u4350), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4349, tc_HOL_Obool)), _u4351), _u4352))) )).
% 12.21/12.45 cnf(matrix-2435, plain, ( ( hAPP(c_Set_Ovimage(_u4353, _u4354, _u4355), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4354, tc_HOL_Obool)), _u4356), _u4357)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4353, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4353, _u4354, _u4355), _u4356)), hAPP(c_Set_Ovimage(_u4353, _u4354, _u4355), _u4357))) )).
% 12.21/12.45 cnf(matrix-2436, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4358, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4358, tc_HOL_Obool)), _u4359), _u4360)), _u4359)) )).
% 12.21/12.45 cnf(matrix-2437, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4361, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4361, tc_HOL_Obool)), _u4362), _u4363)), _u4363)) )).
% 12.21/12.45 cnf(matrix-2438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4364, tc_HOL_Obool)), _u4365), _u4366)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4364, tc_HOL_Obool)), _u4365), _u4366) = _u4365) )).
% 12.21/12.45 cnf(matrix-2439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4367, tc_HOL_Obool)), _u4368), _u4369)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4367, tc_HOL_Obool)), _u4369), _u4368) = _u4368) )).
% 12.21/12.45 cnf(matrix-2440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4370, tc_HOL_Obool)), _u4371), _u4372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4370, tc_HOL_Obool)), _u4371), _u4373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4370, tc_HOL_Obool)), _u4371), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4370, tc_HOL_Obool)), _u4372), _u4373))) )).
% 12.21/12.45 cnf(matrix-2441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4374, tc_HOL_Obool)), _u4375), _u4376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4374, tc_HOL_Obool)), _u4377), _u4378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4374, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4374, tc_HOL_Obool)), _u4375), _u4377)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4374, tc_HOL_Obool)), _u4376), _u4378))) )).
% 12.21/12.45 cnf(matrix-2442, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4379, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4379, tc_HOL_Obool))), _u4380) = _u4380) )).
% 12.21/12.45 cnf(matrix-2443, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4381, tc_HOL_Obool)), _u4382), c_Orderings_Otop__class_Otop(tc_fun(_u4381, tc_HOL_Obool))) = _u4382) )).
% 12.21/12.45 cnf(matrix-2444, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4383, tc_HOL_Obool)), _u4384), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4383, tc_HOL_Obool)), _u4385), _u4386)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4383, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4383, tc_HOL_Obool)), _u4384), _u4385)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4383, tc_HOL_Obool)), _u4384), _u4386))) )).
% 12.21/12.45 cnf(matrix-2445, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4387, tc_HOL_Obool)), _u4388), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4387, tc_HOL_Obool)), _u4389), _u4390)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4387, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4387, tc_HOL_Obool)), _u4388), _u4389)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4387, tc_HOL_Obool)), _u4388), _u4390))) )).
% 12.21/12.45 cnf(matrix-2446, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4391, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4391, tc_HOL_Obool)), _u4392), _u4393)), _u4394) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4391, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4391, tc_HOL_Obool)), _u4392), _u4394)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4391, tc_HOL_Obool)), _u4393), _u4394))) )).
% 12.21/12.45 cnf(matrix-2447, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4395, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4395, tc_HOL_Obool)), _u4396), _u4397)), _u4398) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4395, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4395, tc_HOL_Obool)), _u4396), _u4398)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4395, tc_HOL_Obool)), _u4397), _u4398))) )).
% 12.21/12.45 cnf(matrix-2448, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), _u4400), _u4401)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), _u4401), _u4402))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), _u4402), _u4400)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), _u4400), _u4401)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), _u4401), _u4402))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4399, tc_HOL_Obool)), _u4402), _u4400))) )).
% 12.21/12.45 cnf(matrix-2449, plain, ( ( hAPP(c_Set_Ovimage(_u4403, _u4404, _u4405), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4404, tc_HOL_Obool)), _u4406), _u4407)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4403, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4403, _u4404, _u4405), _u4406)), hAPP(c_Set_Ovimage(_u4403, _u4404, _u4405), _u4407))) )).
% 12.21/12.45 cnf(matrix-2450, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4408, tc_HOL_Obool)), _u4409), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4408, tc_HOL_Obool)), _u4410), _u4411)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4408, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4408, tc_HOL_Obool)), _u4409), _u4410)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4408, tc_HOL_Obool)), _u4409), _u4411))) )).
% 12.21/12.45 cnf(matrix-2451, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4412, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4412, tc_HOL_Obool)), _u4413), _u4414)), _u4415) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4412, tc_HOL_Obool)), _u4413), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4412, tc_HOL_Obool)), _u4414), _u4415))) )).
% 12.21/12.45 cnf(matrix-2452, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4416, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4416, tc_HOL_Obool)), _u4417), _u4418)), _u4419) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4416, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4416, tc_HOL_Obool)), _u4417), _u4419)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4416, tc_HOL_Obool)), _u4418), _u4419))) )).
% 12.21/12.45 cnf(matrix-2453, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4420, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4420, tc_HOL_Obool)), _u4421), _u4422)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4420, tc_HOL_Obool)), _u4423), _u4422)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4420, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4420, tc_HOL_Obool)), _u4421), _u4422)), _u4423)) )).
% 12.21/12.45 cnf(matrix-2454, plain, ( ~c_Fun_Oinj__on(_u4424, _u4425, _u4426, _u4427) | ~c_Fun_Oinj__on(_u4424, _u4425, _u4426, _u4428) | c_Fun_Oinj__on(_u4424, _u4425, _u4426, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4424, tc_HOL_Obool)), _u4427), _u4428)) )).
% 12.21/12.45 cnf(matrix-2455, plain, ( ( hAPP(c_Set_Ovimage(_u4429, _u4430, _u4431), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4430, tc_HOL_Obool)), _u4432)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4429, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4429, _u4430, _u4431), _u4432))) )).
% 12.21/12.45 cnf(matrix-2456, plain, ( ~class_Lattices_Osemilattice__inf(_u4433) | c_Finite__Set_Ofun__left__comm__idem(_u4433, _u4433, c_Lattices_Osemilattice__inf__class_Oinf(_u4433)) )).
% 12.21/12.45 cnf(matrix-2457, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4438, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u4438, tc_fun(_u4438, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4438)), _u4440)), hAPP(hAPP(c_COMBC(_u4438, tc_fun(_u4438, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4438)), _u4442)), _u4444)) | hBOOL(hAPP(hAPP(c_member(_u4438), _u4444), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4438, tc_HOL_Obool)), _u4440), _u4442))) )).
% 12.21/12.45 cnf(matrix-2458, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4439), _u4445), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4439, tc_HOL_Obool)), _u4441), _u4443))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4439, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u4439, tc_fun(_u4439, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4439)), _u4441)), hAPP(hAPP(c_COMBC(_u4439, tc_fun(_u4439, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4439)), _u4443)), _u4445)) )).
% 12.21/12.45 cnf(matrix-2459, plain, ( ~class_Lattices_Olattice(_u4446) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4446), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4446), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4446), _u4447), _u4448)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4446), _u4447), _u4449))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4446), _u4447), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4446), _u4448), _u4449)))) )).
% 12.21/12.45 cnf(matrix-2460, plain, ( ~class_Lattices_Olattice(_u4450) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4450), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4450), _u4451), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4450), _u4452), _u4453))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4450), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4450), _u4451), _u4452)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4450), _u4451), _u4453)))) )).
% 12.21/12.45 cnf(matrix-2461, plain, ( ~class_Lattices_Oboolean__algebra(_u4454) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4454), _u4455), hAPP(c_Groups_Ouminus__class_Ouminus(_u4454), _u4455)) = c_Orderings_Obot__class_Obot(_u4454)) )).
% 12.21/12.45 cnf(matrix-2462, plain, ( ~class_Lattices_Oboolean__algebra(_u4456) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4456), hAPP(c_Groups_Ouminus__class_Ouminus(_u4456), _u4457)), _u4457) = c_Orderings_Obot__class_Obot(_u4456)) )).
% 12.21/12.45 cnf(matrix-2463, plain, ( ~class_Lattices_Oboolean__algebra(_u4458) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4458), _u4459), _u4460) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4458), _u4459), hAPP(c_Groups_Ouminus__class_Ouminus(_u4458), _u4460))) )).
% 12.21/12.45 cnf(matrix-2464, plain, ( ~class_Lattices_Oboolean__algebra(_u4461) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4461), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4461), _u4462), _u4463)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4461), hAPP(c_Groups_Ouminus__class_Ouminus(_u4461), _u4462)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4461), _u4463))) )).
% 12.21/12.45 cnf(matrix-2465, plain, ( ~class_Lattices_Oboolean__algebra(_u4464) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4464), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4464), _u4465), _u4466)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4464), hAPP(c_Groups_Ouminus__class_Ouminus(_u4464), _u4465)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4464), _u4466))) )).
% 12.21/12.45 cnf(matrix-2466, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4471), _u4473), _u4475)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4471, tc_HOL_Obool)), _u4475), hAPP(hAPP(c_Set_Oinsert(_u4471), _u4473), _u4477)) = hAPP(hAPP(c_Set_Oinsert(_u4471), _u4473), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4471, tc_HOL_Obool)), _u4475), _u4477))) )).
% 12.21/12.45 cnf(matrix-2467, plain, ( hBOOL(hAPP(hAPP(c_member(_u4472), _u4474), _u4476)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4472, tc_HOL_Obool)), _u4476), hAPP(hAPP(c_Set_Oinsert(_u4472), _u4474), _u4478)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4472, tc_HOL_Obool)), _u4476), _u4478)) )).
% 12.21/12.45 cnf(matrix-2468, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4483), _u4485), _u4487)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4483, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4483), _u4485), _u4489)), _u4487) = hAPP(hAPP(c_Set_Oinsert(_u4483), _u4485), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4483, tc_HOL_Obool)), _u4489), _u4487))) )).
% 12.21/12.45 cnf(matrix-2469, plain, ( hBOOL(hAPP(hAPP(c_member(_u4484), _u4486), _u4488)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4484, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4486), _u4490)), _u4488) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4484, tc_HOL_Obool)), _u4490), _u4488)) )).
% 12.21/12.45 cnf(matrix-2470, plain, ( hBOOL(hAPP(hAPP(c_member(_u4491), _u4492), _u4493)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4491, tc_HOL_Obool)), _u4493), hAPP(hAPP(c_Set_Oinsert(_u4491), _u4492), _u4494)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4491, tc_HOL_Obool)), _u4493), _u4494)) )).
% 12.21/12.45 cnf(matrix-2471, plain, ( hBOOL(hAPP(hAPP(c_member(_u4495), _u4496), _u4497)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4495, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4495), _u4496), _u4498)), _u4497) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4495, tc_HOL_Obool)), _u4498), _u4497)) )).
% 12.21/12.45 cnf(matrix-2472, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4499), _u4500), _u4501)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4499, tc_HOL_Obool)), _u4501), hAPP(hAPP(c_Set_Oinsert(_u4499), _u4500), _u4502)) = hAPP(hAPP(c_Set_Oinsert(_u4499), _u4500), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4499, tc_HOL_Obool)), _u4501), _u4502))) )).
% 12.21/12.45 cnf(matrix-2473, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4503), _u4504), _u4505)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4503, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4503), _u4504), _u4506)), _u4505) = hAPP(hAPP(c_Set_Oinsert(_u4503), _u4504), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4503, tc_HOL_Obool)), _u4506), _u4505))) )).
% 12.21/12.45 cnf(matrix-2474, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4507, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4508, _u4507, _u4509), hAPP(c_Set_Ovimage(_u4508, _u4507, _u4509), _u4510))), _u4510)) )).
% 12.21/12.45 cnf(matrix-2475, plain, ( ( hAPP(c_Set_Oimage(_u4511, _u4512, _u4513), c_Orderings_Otop__class_Otop(tc_fun(_u4511, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4512, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4511, _u4512, _u4513), hAPP(c_Set_Ovimage(_u4511, _u4512, _u4513), _u4514)) = _u4514) )).
% 12.21/12.45 cnf(matrix-2476, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4515, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4516, _u4515, _u4517), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4516, tc_HOL_Obool)), _u4518), _u4519))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4515, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4516, _u4515, _u4517), _u4518)), hAPP(c_Set_Oimage(_u4516, _u4515, _u4517), _u4519)))) )).
% 12.21/12.45 cnf(matrix-2477, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4520, tc_HOL_Obool)), _u4521), _u4522) != c_Orderings_Obot__class_Obot(tc_fun(_u4520, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4520, tc_HOL_Obool)), _u4521), _u4522) = _u4521) )).
% 12.21/12.45 cnf(matrix-2478, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4523, tc_HOL_Obool)), _u4524), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4523, tc_HOL_Obool)), _u4525), _u4524)) = c_Orderings_Obot__class_Obot(tc_fun(_u4523, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2479, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4530, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4530, tc_HOL_Obool)), _u4532), _u4534)), _u4536) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4530, tc_HOL_Obool)), _u4532), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4530, tc_HOL_Obool)), _u4534), _u4536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4530, tc_HOL_Obool)), _u4536), _u4532)) )).
% 12.21/12.45 cnf(matrix-2480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4531, tc_HOL_Obool)), _u4537), _u4533)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4531, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4531, tc_HOL_Obool)), _u4533), _u4535)), _u4537) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4531, tc_HOL_Obool)), _u4533), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4531, tc_HOL_Obool)), _u4535), _u4537))) )).
% 12.21/12.45 cnf(matrix-2481, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4538, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4538, tc_HOL_Obool)), _u4539), _u4540)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4538, tc_HOL_Obool)), _u4539), _u4540)) = _u4539) )).
% 12.21/12.45 cnf(matrix-2482, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4541, tc_HOL_Obool)), _u4542), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4541, tc_HOL_Obool)), _u4543), _u4544)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4541, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4541, tc_HOL_Obool)), _u4542), _u4543)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4541, tc_HOL_Obool)), _u4542), _u4544))) )).
% 12.21/12.45 cnf(matrix-2483, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4545, tc_HOL_Obool)), _u4546), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4545, tc_HOL_Obool)), _u4547), _u4548)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4545, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4545, tc_HOL_Obool)), _u4546), _u4547)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4545, tc_HOL_Obool)), _u4546), _u4548))) )).
% 12.21/12.45 cnf(matrix-2484, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4553, tc_fun(_u4555, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4553, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4555, tc_HOL_Obool), tc_fun(_u4555, tc_HOL_Obool), _u4553), hAPP(c_COMBC(_u4555, tc_fun(_u4555, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4555))), _u4557)), _u4559)) | hBOOL(hAPP(hAPP(c_member(_u4555), _u4559), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4553, tc_fun(_u4555, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4553, tc_HOL_Obool))), _u4557))) )).
% 12.21/12.45 cnf(matrix-2485, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4556), _u4560), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4554, tc_fun(_u4556, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4554, tc_HOL_Obool))), _u4558))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4554, tc_fun(_u4556, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4554, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4556, tc_HOL_Obool), tc_fun(_u4556, tc_HOL_Obool), _u4554), hAPP(c_COMBC(_u4556, tc_fun(_u4556, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4556))), _u4558)), _u4560)) )).
% 12.21/12.45 cnf(matrix-2486, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4561, tc_HOL_Obool)), _u4562), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4561, tc_HOL_Obool)), _u4562)) = c_Orderings_Obot__class_Obot(tc_fun(_u4561, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2487, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4563, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4563, tc_HOL_Obool)), _u4564)), _u4564) = c_Orderings_Obot__class_Obot(tc_fun(_u4563, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2488, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4565, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4565, tc_HOL_Obool)), _u4566), _u4567)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4565, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4565, tc_HOL_Obool)), _u4566)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4565, tc_HOL_Obool)), _u4567))) )).
% 12.21/12.45 cnf(matrix-2489, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4568, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4568, tc_HOL_Obool)), _u4569), _u4570)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4568, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4568, tc_HOL_Obool)), _u4569)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4568, tc_HOL_Obool)), _u4570))) )).
% 12.21/12.45 cnf(matrix-2490, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4571, tc_HOL_Obool)), _u4572), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4571, tc_HOL_Obool)), _u4573)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4571, tc_HOL_Obool)), _u4572), _u4573)) )).
% 12.21/12.45 cnf(matrix-2491, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4574, tc_HOL_Obool)), _u4575), _u4576) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4574, tc_HOL_Obool)), _u4575), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4574, tc_HOL_Obool)), _u4576))) )).
% 12.21/12.45 cnf(matrix-2492, plain, ( ( hAPP(_u4588, _u4584) = _u4590) | ~hBOOL(hAPP(hAPP(c_member(_u4582), _u4584), hAPP(c_Set_Ovimage(_u4582, _u4586, _u4588), hAPP(hAPP(c_Set_Oinsert(_u4586), _u4590), c_Orderings_Obot__class_Obot(tc_fun(_u4586, tc_HOL_Obool)))))) )).
% 12.21/12.45 cnf(matrix-2493, plain, ( ( hAPP(_u4589, _u4585) != _u4591) | hBOOL(hAPP(hAPP(c_member(_u4583), _u4585), hAPP(c_Set_Ovimage(_u4583, _u4587, _u4589), hAPP(hAPP(c_Set_Oinsert(_u4587), _u4591), c_Orderings_Obot__class_Obot(tc_fun(_u4587, tc_HOL_Obool)))))) )).
% 12.21/12.45 cnf(matrix-2494, plain, ( ~class_Lattices_Osemilattice__inf(_u4592) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4592), _u4593)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u4592, _u4592, c_Lattices_Osemilattice__inf__class_Oinf(_u4592)), _u4594), hAPP(hAPP(c_Set_Oinsert(_u4592), _u4595), _u4593)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4592), _u4595), hAPP(hAPP(c_Finite__Set_Ofold(_u4592, _u4592, c_Lattices_Osemilattice__inf__class_Oinf(_u4592)), _u4594), _u4593))) )).
% 12.21/12.45 cnf(matrix-2495, plain, ( ~class_Lattices_Olattice(_u4596) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4596), _u4597)) | ~hBOOL(hAPP(hAPP(c_member(_u4596), _u4598), _u4597)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4596), _u4598), c_Big__Operators_Olattice__class_OSup__fin(_u4596, _u4597)) = _u4598) )).
% 12.21/12.45 cnf(matrix-2496, plain, ( ( hAPP(c_Set_Ovimage(_u4599, _u4600, _u4601), hAPP(hAPP(c_Set_Oinsert(_u4600), _u4602), _u4603)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4599, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4599, _u4600, _u4601), hAPP(hAPP(c_Set_Oinsert(_u4600), _u4602), c_Orderings_Obot__class_Obot(tc_fun(_u4600, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u4599, _u4600, _u4601), _u4603))) )).
% 12.21/12.45 cnf(matrix-2497, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4604), hAPP(c_Set_Ovimage(_u4604, _u4605, _u4606), _u4607))) | ( hAPP(c_Set_Oimage(_u4604, _u4605, _u4606), c_Orderings_Otop__class_Otop(tc_fun(_u4604, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4605, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4605), _u4607)) )).
% 12.21/12.45 cnf(matrix-2498, plain, ( ( hAPP(c_Set_Oimage(_u4608, _u4609, _u4610), c_Orderings_Otop__class_Otop(tc_fun(_u4608, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4609, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4608, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4608, _u4609, _u4610), _u4611)), _u4612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4609, tc_HOL_Obool)), _u4611), hAPP(c_Set_Oimage(_u4608, _u4609, _u4610), _u4612))) )).
% 12.21/12.45 cnf(matrix-2499, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4614)) | ~c_Fun_Oinj__on(_u4615, _u4613, _u4616, c_Orderings_Otop__class_Otop(tc_fun(_u4615, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4615), hAPP(c_Set_Ovimage(_u4615, _u4613, _u4616), _u4614))) )).
% 12.21/12.45 cnf(matrix-2500, plain, ( ~c_Fun_Oinj__on(_u4617, _u4618, _u4619, c_Orderings_Otop__class_Otop(tc_fun(_u4617, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u4617, _u4618, _u4619), hAPP(c_Set_Oimage(_u4617, _u4618, _u4619), _u4620)) = _u4620) )).
% 12.21/12.45 cnf(matrix-2501, plain, ( ~c_Fun_Oinj__on(_u4621, _u4622, _u4623, _u4624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4621, tc_HOL_Obool)), _u4625), _u4624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4621, tc_HOL_Obool)), _u4626), _u4624)) | ( hAPP(c_Set_Oimage(_u4621, _u4622, _u4623), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4621, tc_HOL_Obool)), _u4625), _u4626)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4622, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4621, _u4622, _u4623), _u4625)), hAPP(c_Set_Oimage(_u4621, _u4622, _u4623), _u4626))) )).
% 12.21/12.45 cnf(matrix-2502, plain, ( ~c_Fun_Oinj__on(_u4627, _u4628, _u4629, c_Orderings_Otop__class_Otop(tc_fun(_u4627, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4627, _u4628, _u4629), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4627, tc_HOL_Obool)), _u4630), _u4631)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4628, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4627, _u4628, _u4629), _u4630)), hAPP(c_Set_Oimage(_u4627, _u4628, _u4629), _u4631))) )).
% 12.21/12.45 cnf(matrix-2503, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4635, tc_HOL_Obool)), _u4637), _u4639) != c_Orderings_Obot__class_Obot(tc_fun(_u4635, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4635, tc_HOL_Obool)), _u4637), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4635, tc_HOL_Obool)), _u4639))) )).
% 12.21/12.45 cnf(matrix-2504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4636, tc_HOL_Obool)), _u4638), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4636, tc_HOL_Obool)), _u4640))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4636, tc_HOL_Obool)), _u4638), _u4640) = c_Orderings_Obot__class_Obot(tc_fun(_u4636, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2505, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4645), _u4647), _u4649)) | ( hAPP(c_Set_Ovimage(_u4651, _u4645, hAPP(c_COMBK(_u4645, _u4651), _u4647)), _u4649) = c_Orderings_Otop__class_Otop(tc_fun(_u4651, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2506, plain, ( hBOOL(hAPP(hAPP(c_member(_u4646), _u4648), _u4650)) | ( hAPP(c_Set_Ovimage(_u4652, _u4646, hAPP(c_COMBK(_u4646, _u4652), _u4648)), _u4650) = c_Orderings_Obot__class_Obot(tc_fun(_u4652, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2507, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4654), _u4659)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4654), _u4660)) | ( hAPP(hAPP(_u4655, hAPP(_u4658, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4654, tc_HOL_Obool)), _u4659), _u4660))), hAPP(_u4658, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4654, tc_HOL_Obool)), _u4659), _u4660))) = hAPP(hAPP(_u4655, hAPP(_u4658, _u4659)), hAPP(_u4658, _u4660))) | ~c_Finite__Set_Ofolding__image__simple(_u4653, _u4654, _u4655, _u4656, _u4657, _u4658) )).
% 12.21/12.45 cnf(matrix-2508, plain, ( ~class_Lattices_Oboolean__algebra(_u4661) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4661), _u4662), _u4663) != c_Orderings_Obot__class_Obot(_u4661)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4661), _u4662), _u4663) != c_Orderings_Otop__class_Otop(_u4661)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4661), _u4662) = _u4663) )).
% 12.21/12.45 cnf(matrix-2509, plain, ( ~class_Lattices_Osemilattice__inf(_u4664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4664), _u4665)) | ~hBOOL(hAPP(hAPP(c_member(_u4664), _u4666), _u4665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4664), hAPP(hAPP(c_Finite__Set_Ofold(_u4664, _u4664, c_Lattices_Osemilattice__inf__class_Oinf(_u4664)), _u4667), _u4665)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4664), _u4666), _u4667))) )).
% 12.21/12.45 cnf(matrix-2510, plain, ( ~class_Lattices_Osemilattice__inf(_u4668) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4668), _u4669)) | ~hBOOL(hAPP(hAPP(c_member(_u4668), _u4670), _u4669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4668), hAPP(c_Finite__Set_Ofold1(_u4668, c_Lattices_Osemilattice__inf__class_Oinf(_u4668)), _u4669)), _u4670)) )).
% 12.21/12.45 cnf(matrix-2511, plain, ( ~class_Lattices_Osemilattice__inf(_u4673) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4673), _u4674)) | ( _u4674 = c_Orderings_Obot__class_Obot(tc_fun(_u4673, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), hAPP(c_Finite__Set_Ofold1(_u4673, c_Lattices_Osemilattice__inf__class_Oinf(_u4673)), _u4674))) | ~hBOOL(hAPP(hAPP(c_member(_u4673), _u4671), _u4674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), _u4671)) )).
% 12.21/12.45 cnf(matrix-2512, plain, ( ~class_Lattices_Osemilattice__inf(_u4673) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4673), _u4674)) | ( _u4674 = c_Orderings_Obot__class_Obot(tc_fun(_u4673, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), hAPP(c_Finite__Set_Ofold1(_u4673, c_Lattices_Osemilattice__inf__class_Oinf(_u4673)), _u4674))) | hBOOL(hAPP(hAPP(c_member(_u4673), skolem91(_u4675, _u4674, _u4673)), _u4674)) )).
% 12.21/12.45 cnf(matrix-2513, plain, ( ~class_Lattices_Osemilattice__inf(_u4673) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4673), _u4674)) | ( _u4674 = c_Orderings_Obot__class_Obot(tc_fun(_u4673, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), hAPP(c_Finite__Set_Ofold1(_u4673, c_Lattices_Osemilattice__inf__class_Oinf(_u4673)), _u4674))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4675), skolem91(_u4675, _u4674, _u4673))) )).
% 12.21/12.45 cnf(matrix-2514, plain, ( ~class_Groups_Ocomm__monoid__add(_u4676) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4677), _u4678)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4677), _u4679)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4677, _u4676), _u4680), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4677, tc_HOL_Obool)), _u4678), _u4679))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4677, _u4676), _u4680), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4677, tc_HOL_Obool)), _u4678), _u4679))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4677, _u4676), _u4680), _u4678)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4677, _u4676), _u4680), _u4679))) )).
% 12.21/12.45 cnf(matrix-2515, plain, ( ~c_Fun_Oinj__on(_u4681, _u4682, _u4683, c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4682, tc_HOL_Obool)), _u4684), hAPP(c_Set_Oimage(_u4681, _u4682, _u4683), _u4685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4681, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4681, _u4682, _u4683), _u4684)), _u4685)) )).
% 12.21/12.45 cnf(matrix-2516, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4687), _u4688)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4687), _u4689)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4687, _u4686), _u4690), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4687, tc_HOL_Obool)), _u4688), _u4689))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4687, _u4686), _u4690), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4687, tc_HOL_Obool)), _u4688), _u4689))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4687, _u4686), _u4690), _u4688)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4687, _u4686), _u4690), _u4689))) )).
% 12.21/12.45 cnf(matrix-2517, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4691) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4692), _u4693)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4692), _u4694)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4691), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4692, _u4691), _u4695), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4692, tc_HOL_Obool)), _u4693), _u4694))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4692, _u4691), _u4695), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4692, tc_HOL_Obool)), _u4693), _u4694))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4691), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4692, _u4691), _u4695), _u4693)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4692, _u4691), _u4695), _u4694))) )).
% 12.21/12.45 cnf(matrix-2518, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4696), _u4697)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4696), _u4698)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4696), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4696, tc_HOL_Obool)), _u4697), _u4698))), hAPP(c_Finite__Set_Ocard(_u4696), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4696, tc_HOL_Obool)), _u4697), _u4698))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4696), _u4697)), hAPP(c_Finite__Set_Ocard(_u4696), _u4698))) )).
% 12.21/12.45 cnf(matrix-2519, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4699), _u4700)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4699), _u4701)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4699), _u4700)), hAPP(c_Finite__Set_Ocard(_u4699), _u4701)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4699), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4699, tc_HOL_Obool)), _u4700), _u4701))), hAPP(c_Finite__Set_Ocard(_u4699), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4699, tc_HOL_Obool)), _u4700), _u4701)))) )).
% 12.21/12.45 cnf(matrix-2520, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4702), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4702, tc_HOL_Obool)), _u4703), _u4704))) | ( hAPP(c_Finite__Set_Ocard(_u4702), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4702, tc_HOL_Obool)), _u4703), _u4704)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4702), _u4703)), hAPP(c_Finite__Set_Ocard(_u4702), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4702, tc_HOL_Obool)), _u4703), _u4704)))) )).
% 12.21/12.45 cnf(matrix-2521, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4711), _u4713), _u4715)) | ~hBOOL(hAPP(hAPP(c_member(_u4711), _u4717), _u4715)) | ( hAPP(c_Set_Ovimage(_u4719, _u4711, hAPP(hAPP(c_COMBC(_u4719, _u4711, _u4711), hAPP(hAPP(c_COMBC(_u4719, _u4711, tc_fun(_u4711, _u4711)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4711, tc_fun(_u4711, _u4711)), _u4719), c_If(_u4711)), hAPP(hAPP(c_COMBC(_u4719, tc_fun(_u4719, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4719)), _u4721))), _u4713)), _u4717)), _u4715) = c_Orderings_Otop__class_Otop(tc_fun(_u4719, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2522, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4711), _u4713), _u4715)) | hBOOL(hAPP(hAPP(c_member(_u4711), _u4717), _u4715)) | ( hAPP(c_Set_Ovimage(_u4719, _u4711, hAPP(hAPP(c_COMBC(_u4719, _u4711, _u4711), hAPP(hAPP(c_COMBC(_u4719, _u4711, tc_fun(_u4711, _u4711)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4711, tc_fun(_u4711, _u4711)), _u4719), c_If(_u4711)), hAPP(hAPP(c_COMBC(_u4719, tc_fun(_u4719, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4719)), _u4721))), _u4713)), _u4717)), _u4715) = _u4721) )).
% 12.21/12.45 cnf(matrix-2523, plain, ( hBOOL(hAPP(hAPP(c_member(_u4712), _u4714), _u4716)) | ~hBOOL(hAPP(hAPP(c_member(_u4712), _u4718), _u4716)) | ( hAPP(c_Set_Ovimage(_u4720, _u4712, hAPP(hAPP(c_COMBC(_u4720, _u4712, _u4712), hAPP(hAPP(c_COMBC(_u4720, _u4712, tc_fun(_u4712, _u4712)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4712, tc_fun(_u4712, _u4712)), _u4720), c_If(_u4712)), hAPP(hAPP(c_COMBC(_u4720, tc_fun(_u4720, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4720)), _u4722))), _u4714)), _u4718)), _u4716) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4720, tc_HOL_Obool)), _u4722)) )).
% 12.21/12.45 cnf(matrix-2524, plain, ( hBOOL(hAPP(hAPP(c_member(_u4712), _u4714), _u4716)) | hBOOL(hAPP(hAPP(c_member(_u4712), _u4718), _u4716)) | ( hAPP(c_Set_Ovimage(_u4720, _u4712, hAPP(hAPP(c_COMBC(_u4720, _u4712, _u4712), hAPP(hAPP(c_COMBC(_u4720, _u4712, tc_fun(_u4712, _u4712)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4712, tc_fun(_u4712, _u4712)), _u4720), c_If(_u4712)), hAPP(hAPP(c_COMBC(_u4720, tc_fun(_u4720, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4720)), _u4722))), _u4714)), _u4718)), _u4716) = c_Orderings_Obot__class_Obot(tc_fun(_u4720, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2525, plain, ( ~c_Finite__Set_Ofolding__one(_u4723, _u4724, _u4725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4723), _u4726)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4723), _u4727)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4723, tc_HOL_Obool)), _u4726), _u4727) = c_Orderings_Obot__class_Obot(tc_fun(_u4723, tc_HOL_Obool))) | ( hAPP(hAPP(_u4724, hAPP(_u4725, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4723, tc_HOL_Obool)), _u4726), _u4727))), hAPP(_u4725, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4723, tc_HOL_Obool)), _u4726), _u4727))) = hAPP(hAPP(_u4724, hAPP(_u4725, _u4726)), hAPP(_u4725, _u4727))) )).
% 12.21/12.45 cnf(matrix-2526, plain, ( ~c_Finite__Set_Ofolding__one(_u4728, _u4729, _u4730) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4728), _u4731)) | ( _u4731 = c_Orderings_Obot__class_Obot(tc_fun(_u4728, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4728), _u4732)) | ( _u4732 = c_Orderings_Obot__class_Obot(tc_fun(_u4728, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4728, tc_HOL_Obool)), _u4731), _u4732) != c_Orderings_Obot__class_Obot(tc_fun(_u4728, tc_HOL_Obool))) | ( hAPP(_u4730, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4728, tc_HOL_Obool)), _u4731), _u4732)) = hAPP(hAPP(_u4729, hAPP(_u4730, _u4731)), hAPP(_u4730, _u4732))) )).
% 12.21/12.45 cnf(matrix-2527, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4734), _u4739)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4734), _u4740)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4734, tc_HOL_Obool)), _u4739), _u4740) != c_Orderings_Obot__class_Obot(tc_fun(_u4734, tc_HOL_Obool))) | ( hAPP(_u4738, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4734, tc_HOL_Obool)), _u4739), _u4740)) = hAPP(hAPP(_u4735, hAPP(_u4738, _u4739)), hAPP(_u4738, _u4740))) | ~c_Finite__Set_Ofolding__image__simple(_u4733, _u4734, _u4735, _u4736, _u4737, _u4738) )).
% 12.21/12.45 cnf(matrix-2528, plain, ( ~class_Groups_Ocomm__monoid__add(_u4741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4742), _u4743)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4742), _u4744)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4742, tc_HOL_Obool)), _u4743), _u4744) != c_Orderings_Obot__class_Obot(tc_fun(_u4742, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4742, _u4741), _u4745), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4742, tc_HOL_Obool)), _u4743), _u4744)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4741), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4742, _u4741), _u4745), _u4743)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4742, _u4741), _u4745), _u4744))) )).
% 12.21/12.45 cnf(matrix-2529, plain, ( ~class_Groups_Oab__group__add(_u4746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4747), _u4748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4747), _u4749)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4747, _u4746), _u4750), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4747, tc_HOL_Obool)), _u4748), _u4749)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4746), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4746), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4747, _u4746), _u4750), _u4748)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4747, _u4746), _u4750), _u4749))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4747, _u4746), _u4750), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4747, tc_HOL_Obool)), _u4748), _u4749)))) )).
% 12.21/12.45 cnf(matrix-2530, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4751) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4752), _u4753)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4752), _u4754)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4752, tc_HOL_Obool)), _u4753), _u4754) != c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4752, _u4751), _u4755), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4752, tc_HOL_Obool)), _u4753), _u4754)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4751), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4752, _u4751), _u4755), _u4753)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4752, _u4751), _u4755), _u4754))) )).
% 12.21/12.45 cnf(matrix-2531, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4757), _u4758)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4757), _u4759)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4757, tc_HOL_Obool)), _u4758), _u4759) != c_Orderings_Obot__class_Obot(tc_fun(_u4757, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4757, _u4756), _u4760), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4757, tc_HOL_Obool)), _u4758), _u4759)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4756), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4757, _u4756), _u4760), _u4758)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4757, _u4756), _u4760), _u4759))) )).
% 12.21/12.45 cnf(matrix-2532, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4762), _u4763)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4761), _u4764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4762, _u4761), _u4763), _u4765)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4762, _u4761, hAPP(hAPP(c_COMBB(_u4761, tc_fun(_u4761, _u4761), _u4762), c_Lattices_Osemilattice__sup__class_Osup(_u4761)), _u4765)), _u4764), _u4763)) )).
% 12.21/12.45 cnf(matrix-2533, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4766), _u4767)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4766), _u4768)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4766, tc_HOL_Obool)), _u4767), _u4768) != c_Orderings_Obot__class_Obot(tc_fun(_u4766, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u4766), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4766, tc_HOL_Obool)), _u4767), _u4768)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4766), _u4767)), hAPP(c_Finite__Set_Ocard(_u4766), _u4768))) )).
% 12.21/12.45 cnf(matrix-2534, plain, ( ~c_Fun_Oinj__on(_u4774, _u4776, _u4778, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4774, tc_HOL_Obool)), _u4780), _u4782)) | c_Fun_Oinj__on(_u4774, _u4776, _u4778, _u4780) )).
% 12.21/12.45 cnf(matrix-2535, plain, ( ~c_Fun_Oinj__on(_u4774, _u4776, _u4778, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4774, tc_HOL_Obool)), _u4780), _u4782)) | c_Fun_Oinj__on(_u4774, _u4776, _u4778, _u4782) )).
% 12.21/12.45 cnf(matrix-2536, plain, ( ~c_Fun_Oinj__on(_u4774, _u4776, _u4778, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4774, tc_HOL_Obool)), _u4780), _u4782)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4776, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4774, _u4776, _u4778), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4774, tc_HOL_Obool)), _u4780), _u4782))), hAPP(c_Set_Oimage(_u4774, _u4776, _u4778), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4774, tc_HOL_Obool)), _u4782), _u4780))) = c_Orderings_Obot__class_Obot(tc_fun(_u4776, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2537, plain, ( ~c_Fun_Oinj__on(_u4775, _u4777, _u4779, _u4781) | ~c_Fun_Oinj__on(_u4775, _u4777, _u4779, _u4783) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4777, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4775, _u4777, _u4779), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4775, tc_HOL_Obool)), _u4781), _u4783))), hAPP(c_Set_Oimage(_u4775, _u4777, _u4779), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4775, tc_HOL_Obool)), _u4783), _u4781))) != c_Orderings_Obot__class_Obot(tc_fun(_u4777, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4775, _u4777, _u4779, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4775, tc_HOL_Obool)), _u4781), _u4783)) )).
% 12.21/12.45 cnf(matrix-2538, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4785), _u4786)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4785), _u4787)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4784), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4784, _u4785, c_Groups_Otimes__class_Otimes(_u4784)), _u4788), c_Groups_Oone__class_Oone(_u4784)), _u4786)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4784, _u4785, c_Groups_Otimes__class_Otimes(_u4784)), _u4788), c_Groups_Oone__class_Oone(_u4784)), _u4787)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4784), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4784, _u4785, c_Groups_Otimes__class_Otimes(_u4784)), _u4788), c_Groups_Oone__class_Oone(_u4784)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4785, tc_HOL_Obool)), _u4786), _u4787))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4784, _u4785, c_Groups_Otimes__class_Otimes(_u4784)), _u4788), c_Groups_Oone__class_Oone(_u4784)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4785, tc_HOL_Obool)), _u4786), _u4787)))) )).
% 12.21/12.45 cnf(matrix-2539, plain, ( ~class_Groups_Oab__semigroup__mult(_u4789) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4789), _u4790)) | ( _u4790 = c_Orderings_Obot__class_Obot(tc_fun(_u4789, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4789), _u4791)) | ( _u4791 = c_Orderings_Obot__class_Obot(tc_fun(_u4789, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4789, tc_HOL_Obool)), _u4790), _u4791) != c_Orderings_Obot__class_Obot(tc_fun(_u4789, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u4789, c_Groups_Otimes__class_Otimes(_u4789)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4789, tc_HOL_Obool)), _u4790), _u4791)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4789), hAPP(c_Finite__Set_Ofold1(_u4789, c_Groups_Otimes__class_Otimes(_u4789)), _u4790)), hAPP(c_Finite__Set_Ofold1(_u4789, c_Groups_Otimes__class_Otimes(_u4789)), _u4791))) )).
% 12.21/12.45 cnf(matrix-2540, plain, ( ~class_Lattices_Olattice(_u4792) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4792), _u4793)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4792), _u4794)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4792, tc_HOL_Obool)), _u4793), _u4794) = c_Orderings_Obot__class_Obot(tc_fun(_u4792, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4792), c_Big__Operators_Olattice__class_OSup__fin(_u4792, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4792, tc_HOL_Obool)), _u4793), _u4794))), c_Big__Operators_Olattice__class_OSup__fin(_u4792, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4792, tc_HOL_Obool)), _u4793), _u4794))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4792), c_Big__Operators_Olattice__class_OSup__fin(_u4792, _u4793)), c_Big__Operators_Olattice__class_OSup__fin(_u4792, _u4794))) )).
% 12.21/12.45 cnf(matrix-2541, plain, ( ~class_Lattices_Olattice(_u4795) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4795), _u4796)) | ( _u4796 = c_Orderings_Obot__class_Obot(tc_fun(_u4795, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4795), _u4797)) | ( _u4797 = c_Orderings_Obot__class_Obot(tc_fun(_u4795, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4795, tc_HOL_Obool)), _u4796), _u4797) != c_Orderings_Obot__class_Obot(tc_fun(_u4795, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4795, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4795, tc_HOL_Obool)), _u4796), _u4797)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4795), c_Big__Operators_Olattice__class_OSup__fin(_u4795, _u4796)), c_Big__Operators_Olattice__class_OSup__fin(_u4795, _u4797))) )).
% 12.21/12.45 cnf(matrix-2542, plain, ( ~class_Orderings_Olinorder(_u4798) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4798), _u4799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4798), _u4800)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4798, tc_HOL_Obool)), _u4799), _u4800) = c_Orderings_Obot__class_Obot(tc_fun(_u4798, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4798), c_Big__Operators_Olinorder__class_OMin(_u4798, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4798, tc_HOL_Obool)), _u4799), _u4800))), c_Big__Operators_Olinorder__class_OMin(_u4798, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4798, tc_HOL_Obool)), _u4799), _u4800))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4798), c_Big__Operators_Olinorder__class_OMin(_u4798, _u4799)), c_Big__Operators_Olinorder__class_OMin(_u4798, _u4800))) )).
% 12.21/12.45 cnf(matrix-2543, plain, ( ~class_Orderings_Olinorder(_u4801) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4801), _u4802)) | ( _u4802 = c_Orderings_Obot__class_Obot(tc_fun(_u4801, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4801), _u4803)) | ( _u4803 = c_Orderings_Obot__class_Obot(tc_fun(_u4801, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4801, tc_HOL_Obool)), _u4802), _u4803) != c_Orderings_Obot__class_Obot(tc_fun(_u4801, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4801, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4801, tc_HOL_Obool)), _u4802), _u4803)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4801), c_Big__Operators_Olinorder__class_OMin(_u4801, _u4802)), c_Big__Operators_Olinorder__class_OMin(_u4801, _u4803))) )).
% 12.21/12.45 cnf(matrix-2544, plain, ( ~class_Orderings_Olinorder(_u4804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4804), _u4805)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4804), _u4806)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4804, tc_HOL_Obool)), _u4805), _u4806) = c_Orderings_Obot__class_Obot(tc_fun(_u4804, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4804), c_Big__Operators_Olinorder__class_OMax(_u4804, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4804, tc_HOL_Obool)), _u4805), _u4806))), c_Big__Operators_Olinorder__class_OMax(_u4804, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4804, tc_HOL_Obool)), _u4805), _u4806))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4804), c_Big__Operators_Olinorder__class_OMax(_u4804, _u4805)), c_Big__Operators_Olinorder__class_OMax(_u4804, _u4806))) )).
% 12.21/12.45 cnf(matrix-2545, plain, ( ~class_Orderings_Olinorder(_u4807) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4807), _u4808)) | ( _u4808 = c_Orderings_Obot__class_Obot(tc_fun(_u4807, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4807), _u4809)) | ( _u4809 = c_Orderings_Obot__class_Obot(tc_fun(_u4807, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4807, tc_HOL_Obool)), _u4808), _u4809) != c_Orderings_Obot__class_Obot(tc_fun(_u4807, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u4807, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4807, tc_HOL_Obool)), _u4808), _u4809)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4807), c_Big__Operators_Olinorder__class_OMax(_u4807, _u4808)), c_Big__Operators_Olinorder__class_OMax(_u4807, _u4809))) )).
% 12.21/12.45 cnf(matrix-2546, plain, ( ~class_Orderings_Olinorder(_u4810) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4810), _u4811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4810), _u4812)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4810, tc_HOL_Obool)), _u4811), _u4812) = c_Orderings_Obot__class_Obot(tc_fun(_u4810, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4810), c_Big__Operators_Olattice_OInf__fin(_u4810, c_Orderings_Oord__class_Omin(_u4810), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4810, tc_HOL_Obool)), _u4811), _u4812))), c_Big__Operators_Olattice_OInf__fin(_u4810, c_Orderings_Oord__class_Omin(_u4810), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4810, tc_HOL_Obool)), _u4811), _u4812))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4810), c_Big__Operators_Olattice_OInf__fin(_u4810, c_Orderings_Oord__class_Omin(_u4810), _u4811)), c_Big__Operators_Olattice_OInf__fin(_u4810, c_Orderings_Oord__class_Omin(_u4810), _u4812))) )).
% 12.21/12.45 cnf(matrix-2547, plain, ( ~class_Orderings_Olinorder(_u4813) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4813), _u4814)) | ( _u4814 = c_Orderings_Obot__class_Obot(tc_fun(_u4813, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4813), _u4815)) | ( _u4815 = c_Orderings_Obot__class_Obot(tc_fun(_u4813, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4813, tc_HOL_Obool)), _u4814), _u4815) != c_Orderings_Obot__class_Obot(tc_fun(_u4813, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4813, c_Orderings_Oord__class_Omin(_u4813), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4813, tc_HOL_Obool)), _u4814), _u4815)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4813), c_Big__Operators_Olattice_OInf__fin(_u4813, c_Orderings_Oord__class_Omin(_u4813), _u4814)), c_Big__Operators_Olattice_OInf__fin(_u4813, c_Orderings_Oord__class_Omin(_u4813), _u4815))) )).
% 12.21/12.45 cnf(matrix-2548, plain, ( ~class_Orderings_Olinorder(_u4816) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4816), _u4817)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4816), _u4818)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4816, tc_HOL_Obool)), _u4817), _u4818) = c_Orderings_Obot__class_Obot(tc_fun(_u4816, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4816), c_Big__Operators_Olattice_OSup__fin(_u4816, c_Orderings_Oord__class_Omax(_u4816), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4816, tc_HOL_Obool)), _u4817), _u4818))), c_Big__Operators_Olattice_OSup__fin(_u4816, c_Orderings_Oord__class_Omax(_u4816), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4816, tc_HOL_Obool)), _u4817), _u4818))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4816), c_Big__Operators_Olattice_OSup__fin(_u4816, c_Orderings_Oord__class_Omax(_u4816), _u4817)), c_Big__Operators_Olattice_OSup__fin(_u4816, c_Orderings_Oord__class_Omax(_u4816), _u4818))) )).
% 12.21/12.45 cnf(matrix-2549, plain, ( ~class_Orderings_Olinorder(_u4819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4820)) | ( _u4820 = c_Orderings_Obot__class_Obot(tc_fun(_u4819, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4821)) | ( _u4821 = c_Orderings_Obot__class_Obot(tc_fun(_u4819, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4819, tc_HOL_Obool)), _u4820), _u4821) != c_Orderings_Obot__class_Obot(tc_fun(_u4819, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u4819, c_Orderings_Oord__class_Omax(_u4819), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4819, tc_HOL_Obool)), _u4820), _u4821)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u4819), c_Big__Operators_Olattice_OSup__fin(_u4819, c_Orderings_Oord__class_Omax(_u4819), _u4820)), c_Big__Operators_Olattice_OSup__fin(_u4819, c_Orderings_Oord__class_Omax(_u4819), _u4821))) )).
% 12.21/12.45 cnf(matrix-2550, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4822), _u4823)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4822), _u4824)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4822, tc_Nat_Onat), _u4825), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4822, tc_HOL_Obool)), _u4823), _u4824)) = 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(_u4822, tc_Nat_Onat), _u4825), _u4823)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4822, tc_Nat_Onat), _u4825), _u4824))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4822, tc_Nat_Onat), _u4825), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4822, tc_HOL_Obool)), _u4823), _u4824)))) )).
% 12.21/12.45 cnf(matrix-2551, plain, ( ( hAPP(c_Set_Ovimage(_u4826, _u4827, _u4828), _u4829) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4827, tc_fun(_u4826, tc_HOL_Obool)), _u4829), hAPP(hAPP(c_COMBB(tc_fun(_u4827, tc_HOL_Obool), tc_fun(_u4826, tc_HOL_Obool), _u4827), c_Set_Ovimage(_u4826, _u4827, _u4828)), hAPP(hAPP(c_COMBC(_u4827, tc_fun(_u4827, tc_HOL_Obool), tc_fun(_u4827, tc_HOL_Obool)), c_Set_Oinsert(_u4827)), c_Orderings_Obot__class_Obot(tc_fun(_u4827, tc_HOL_Obool)))))) )).
% 12.21/12.45 cnf(matrix-2552, plain, ( ( hAPP(c_Set_Oimage(_u4830, _u4831, _u4832), _u4833) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4830, tc_fun(_u4831, tc_HOL_Obool)), _u4833), hAPP(hAPP(c_COMBC(_u4830, tc_fun(_u4831, tc_HOL_Obool), tc_fun(_u4831, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u4831, tc_fun(tc_fun(_u4831, tc_HOL_Obool), tc_fun(_u4831, tc_HOL_Obool)), _u4830), c_Set_Oinsert(_u4831)), _u4832)), c_Orderings_Obot__class_Obot(tc_fun(_u4831, tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-2553, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4834), _u4835), _u4836)) | ~hBOOL(hAPP(hAPP(c_member(_u4837), _u4838), hAPP(_u4839, _u4835))) | hBOOL(hAPP(hAPP(c_member(_u4837), _u4838), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4834, tc_fun(_u4837, tc_HOL_Obool)), _u4836), _u4839))) )).
% 12.21/12.45 cnf(matrix-2554, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4840) | ~hBOOL(hAPP(hAPP(c_member(_u4841), _u4842), _u4843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4840), hAPP(_u4844, _u4842)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4841, _u4840), _u4843), _u4844))) )).
% 12.21/12.45 cnf(matrix-2555, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4846, tc_HOL_Obool)), _u4847), _u4848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4845), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4846, _u4845), _u4847), _u4849)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4846, _u4845), _u4848), _u4849))) )).
% 12.21/12.45 cnf(matrix-2556, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4850) | ( _u4851 = c_Orderings_Obot__class_Obot(tc_fun(_u4852, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4852, _u4850), _u4851), hAPP(c_COMBK(_u4850, _u4852), _u4853)) = _u4853) )).
% 12.21/12.45 cnf(matrix-2557, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4854, tc_fun(_u4855, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4854), _u4856), _u4857)), _u4858) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4855, tc_HOL_Obool)), hAPP(_u4858, _u4856)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4854, tc_fun(_u4855, tc_HOL_Obool)), _u4857), _u4858))) )).
% 12.21/12.45 cnf(matrix-2558, plain, ( ( _u4864 != c_Orderings_Obot__class_Obot(tc_fun(_u4866, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4866, tc_fun(_u4868, tc_HOL_Obool)), _u4864), hAPP(hAPP(c_COMBB(tc_fun(_u4868, tc_HOL_Obool), tc_fun(_u4868, tc_HOL_Obool), _u4866), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4868, tc_HOL_Obool)), _u4870)), _u4872)) = c_Orderings_Obot__class_Obot(tc_fun(_u4868, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2559, plain, ( ( _u4865 = c_Orderings_Obot__class_Obot(tc_fun(_u4867, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4867, tc_fun(_u4869, tc_HOL_Obool)), _u4865), hAPP(hAPP(c_COMBB(tc_fun(_u4869, tc_HOL_Obool), tc_fun(_u4869, tc_HOL_Obool), _u4867), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4869, tc_HOL_Obool)), _u4871)), _u4873)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4869, tc_HOL_Obool)), _u4871), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4867, tc_fun(_u4869, tc_HOL_Obool)), _u4865), _u4873))) )).
% 12.21/12.45 cnf(matrix-2560, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4874, tc_fun(_u4875, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4876, tc_fun(_u4874, tc_HOL_Obool)), _u4877), _u4878)), _u4879) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4876, tc_fun(_u4875, tc_HOL_Obool)), _u4877), hAPP(hAPP(c_COMBC(_u4876, tc_fun(_u4874, tc_fun(_u4875, tc_HOL_Obool)), tc_fun(_u4875, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4874, tc_HOL_Obool), tc_fun(tc_fun(_u4874, tc_fun(_u4875, tc_HOL_Obool)), tc_fun(_u4875, tc_HOL_Obool)), _u4876), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4874, tc_fun(_u4875, tc_HOL_Obool))), _u4878)), _u4879))) )).
% 12.21/12.45 cnf(matrix-2561, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4880, tc_fun(_u4881, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4882, tc_fun(_u4880, tc_HOL_Obool)), _u4883), _u4884)), _u4885) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4882, tc_fun(_u4881, tc_HOL_Obool)), _u4883), hAPP(hAPP(c_COMBC(_u4882, tc_fun(_u4880, tc_fun(_u4881, tc_HOL_Obool)), tc_fun(_u4881, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4880, tc_HOL_Obool), tc_fun(tc_fun(_u4880, tc_fun(_u4881, tc_HOL_Obool)), tc_fun(_u4881, tc_HOL_Obool)), _u4882), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4880, tc_fun(_u4881, tc_HOL_Obool))), _u4884)), _u4885))) )).
% 12.21/12.45 cnf(matrix-2562, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4899), _u4888), _u4901)) | ~hBOOL(hAPP(hAPP(c_member(_u4897), _u4887), hAPP(_u4903, _u4888))) | hBOOL(hAPP(_u4905, _u4887)) | hBOOL(hAPP(hAPP(c_member(_u4897), skolem92(_u4905, _u4903, _u4901, _u4899, _u4897)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4899, tc_fun(_u4897, tc_HOL_Obool)), _u4901), _u4903))) )).
% 12.21/12.45 cnf(matrix-2563, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4899), _u4888), _u4901)) | ~hBOOL(hAPP(hAPP(c_member(_u4897), _u4887), hAPP(_u4903, _u4888))) | hBOOL(hAPP(_u4905, _u4887)) | ~hBOOL(hAPP(_u4905, skolem92(_u4905, _u4903, _u4901, _u4899, _u4897))) )).
% 12.21/12.45 cnf(matrix-2564, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4898), _u4891), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4900, tc_fun(_u4898, tc_HOL_Obool)), _u4902), _u4904))) | hBOOL(hAPP(_u4906, _u4891)) | hBOOL(hAPP(hAPP(c_member(_u4900), skolem93(_u4906, _u4904, _u4902, _u4900, _u4898)), _u4902)) )).
% 12.21/12.45 cnf(matrix-2565, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4898), _u4891), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4900, tc_fun(_u4898, tc_HOL_Obool)), _u4902), _u4904))) | hBOOL(hAPP(_u4906, _u4891)) | hBOOL(hAPP(hAPP(c_member(_u4898), skolem94(_u4906, _u4904, _u4902, _u4900, _u4898)), hAPP(_u4904, skolem93(_u4906, _u4904, _u4902, _u4900, _u4898)))) )).
% 12.21/12.45 cnf(matrix-2566, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4898), _u4891), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4900, tc_fun(_u4898, tc_HOL_Obool)), _u4902), _u4904))) | hBOOL(hAPP(_u4906, _u4891)) | ~hBOOL(hAPP(_u4906, skolem94(_u4906, _u4904, _u4902, _u4900, _u4898))) )).
% 12.21/12.45 cnf(matrix-2567, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4907, tc_fun(_u4908, tc_HOL_Obool)), _u4909), hAPP(hAPP(c_COMBC(_u4907, tc_fun(_u4910, tc_fun(_u4908, tc_HOL_Obool)), tc_fun(_u4908, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4910, tc_HOL_Obool), tc_fun(tc_fun(_u4910, tc_fun(_u4908, tc_HOL_Obool)), tc_fun(_u4908, tc_HOL_Obool)), _u4907), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4910, tc_fun(_u4908, tc_HOL_Obool))), _u4911)), _u4912)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4910, tc_fun(_u4908, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4907, tc_fun(_u4910, tc_HOL_Obool)), _u4909), _u4911)), _u4912)) )).
% 12.21/12.45 cnf(matrix-2568, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4920, tc_fun(_u4922, tc_HOL_Obool)), _u4924), _u4926), _u4928)) | hBOOL(hAPP(hAPP(c_member(_u4920), skolem95(_u4928, _u4926, _u4924, _u4922, _u4920)), _u4924)) )).
% 12.21/12.45 cnf(matrix-2569, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4920, tc_fun(_u4922, tc_HOL_Obool)), _u4924), _u4926), _u4928)) | hBOOL(hAPP(hAPP(_u4926, skolem95(_u4928, _u4926, _u4924, _u4922, _u4920)), _u4928)) )).
% 12.21/12.45 cnf(matrix-2570, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4921), _u4914), _u4925)) | ~hBOOL(hAPP(hAPP(_u4927, _u4914), _u4929)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4921, tc_fun(_u4923, tc_HOL_Obool)), _u4925), _u4927), _u4929)) )).
% 12.21/12.45 cnf(matrix-2571, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4939, tc_fun(_u4941, tc_fun(_u4943, tc_HOL_Obool))), _u4945), _u4947), _u4949), _u4951)) | hBOOL(hAPP(hAPP(c_member(_u4939), skolem96(_u4951, _u4949, _u4947, _u4945, _u4943, _u4941, _u4939)), _u4945)) )).
% 12.21/12.45 cnf(matrix-2572, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4939, tc_fun(_u4941, tc_fun(_u4943, tc_HOL_Obool))), _u4945), _u4947), _u4949), _u4951)) | hBOOL(hAPP(hAPP(hAPP(_u4947, skolem96(_u4951, _u4949, _u4947, _u4945, _u4943, _u4941, _u4939)), _u4949), _u4951)) )).
% 12.21/12.45 cnf(matrix-2573, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4940), _u4931), _u4946)) | ~hBOOL(hAPP(hAPP(hAPP(_u4948, _u4931), _u4950), _u4952)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4940, tc_fun(_u4942, tc_fun(_u4944, tc_HOL_Obool))), _u4946), _u4948), _u4950), _u4952)) )).
% 12.21/12.45 cnf(matrix-2574, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2575, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4960), _u4962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4964, tc_fun(_u4960, tc_HOL_Obool)), _u4966), _u4968))) | hBOOL(hAPP(hAPP(c_member(_u4964), skolem97(_u4968, _u4966, _u4964, _u4962, _u4960)), _u4966)) )).
% 12.21/12.45 cnf(matrix-2576, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4960), _u4962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4964, tc_fun(_u4960, tc_HOL_Obool)), _u4966), _u4968))) | hBOOL(hAPP(hAPP(c_member(_u4960), _u4962), hAPP(_u4968, skolem97(_u4968, _u4966, _u4964, _u4962, _u4960)))) )).
% 12.21/12.45 cnf(matrix-2577, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4965), _u4954), _u4967)) | ~hBOOL(hAPP(hAPP(c_member(_u4961), _u4963), hAPP(_u4969, _u4954))) | hBOOL(hAPP(hAPP(c_member(_u4961), _u4963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4965, tc_fun(_u4961, tc_HOL_Obool)), _u4967), _u4969))) )).
% 12.21/12.45 cnf(matrix-2578, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4976, tc_fun(_u4978, tc_HOL_Obool)), _u4980), _u4982) != c_Orderings_Obot__class_Obot(tc_fun(_u4978, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4976), _u4970), _u4980)) | ( hAPP(_u4982, _u4970) = c_Orderings_Obot__class_Obot(tc_fun(_u4978, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2579, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4977, tc_fun(_u4979, tc_HOL_Obool)), _u4981), _u4983) = c_Orderings_Obot__class_Obot(tc_fun(_u4979, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4977), skolem98(_u4983, _u4981, _u4979, _u4977)), _u4981)) )).
% 12.21/12.45 cnf(matrix-2580, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4977, tc_fun(_u4979, tc_HOL_Obool)), _u4981), _u4983) = c_Orderings_Obot__class_Obot(tc_fun(_u4979, tc_HOL_Obool))) | ( hAPP(_u4983, skolem98(_u4983, _u4981, _u4979, _u4977)) != c_Orderings_Obot__class_Obot(tc_fun(_u4979, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2581, plain, ( ( _u4988 != c_Orderings_Obot__class_Obot(tc_fun(_u4990, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4990, tc_fun(_u4992, tc_HOL_Obool)), _u4988), hAPP(c_COMBK(tc_fun(_u4992, tc_HOL_Obool), _u4990), _u4994)) = c_Orderings_Obot__class_Obot(tc_fun(_u4992, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2582, plain, ( ( _u4989 = c_Orderings_Obot__class_Obot(tc_fun(_u4991, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4991, tc_fun(_u4993, tc_HOL_Obool)), _u4989), hAPP(c_COMBK(tc_fun(_u4993, tc_HOL_Obool), _u4991), _u4995)) = _u4995) )).
% 12.21/12.45 cnf(matrix-2583, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4996, tc_fun(_u4997, tc_HOL_Obool)), _u4998), hAPP(c_COMBK(tc_fun(_u4997, tc_HOL_Obool), _u4996), c_Orderings_Obot__class_Obot(tc_fun(_u4997, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4997, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2584, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5007, tc_fun(_u5005, tc_HOL_Obool)), _u5009), _u5011)) | ~hBOOL(hAPP(hAPP(c_member(_u5007), _u4999), _u5009)) | ( hAPP(_u5011, _u4999) = c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2585, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u5006, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5008, tc_fun(_u5006, tc_HOL_Obool)), _u5010), _u5012)) | hBOOL(hAPP(hAPP(c_member(_u5008), skolem99(_u5012, _u5010, _u5008, _u5006)), _u5010)) )).
% 12.21/12.45 cnf(matrix-2586, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u5006, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5008, tc_fun(_u5006, tc_HOL_Obool)), _u5010), _u5012)) | ( hAPP(_u5012, skolem99(_u5012, _u5010, _u5008, _u5006)) != c_Orderings_Obot__class_Obot(tc_fun(_u5006, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5020, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5022, tc_fun(_u5020, tc_HOL_Obool)), _u5024), _u5026)), _u5028)) | ~hBOOL(hAPP(hAPP(c_member(_u5022), _u5013), _u5024)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5020, tc_HOL_Obool)), hAPP(_u5026, _u5013)), _u5028)) )).
% 12.21/12.45 cnf(matrix-2588, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5021, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5023, tc_fun(_u5021, tc_HOL_Obool)), _u5025), _u5027)), _u5029)) | hBOOL(hAPP(hAPP(c_member(_u5023), skolem100(_u5029, _u5027, _u5025, _u5023, _u5021)), _u5025)) )).
% 12.21/12.45 cnf(matrix-2589, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5021, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5023, tc_fun(_u5021, tc_HOL_Obool)), _u5025), _u5027)), _u5029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5021, tc_HOL_Obool)), hAPP(_u5027, skolem100(_u5029, _u5027, _u5025, _u5023, _u5021))), _u5029)) )).
% 12.21/12.45 cnf(matrix-2590, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5030, tc_fun(_u5031, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5032, _u5030, _u5033), _u5034)), _u5035) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5032, tc_fun(_u5031, tc_HOL_Obool)), _u5034), hAPP(hAPP(c_COMBB(_u5030, tc_fun(_u5031, tc_HOL_Obool), _u5032), _u5035), _u5033))) )).
% 12.21/12.45 cnf(matrix-2591, plain, ( ( hAPP(c_Set_Oimage(_u5036, _u5037, _u5038), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5039, tc_fun(_u5036, tc_HOL_Obool)), _u5040), _u5041)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5039, tc_fun(_u5037, tc_HOL_Obool)), _u5040), hAPP(hAPP(c_COMBB(tc_fun(_u5036, tc_HOL_Obool), tc_fun(_u5037, tc_HOL_Obool), _u5039), c_Set_Oimage(_u5036, _u5037, _u5038)), _u5041))) )).
% 12.21/12.45 cnf(matrix-2592, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5042, tc_fun(_u5043, tc_HOL_Obool)), _u5044), hAPP(hAPP(c_COMBB(_u5045, tc_fun(_u5043, tc_HOL_Obool), _u5042), _u5046), _u5047)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5045, tc_fun(_u5043, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5042, _u5045, _u5047), _u5044)), _u5046)) )).
% 12.21/12.45 cnf(matrix-2593, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5048, tc_fun(_u5049, tc_HOL_Obool)), _u5050), hAPP(hAPP(c_COMBS(_u5048, tc_fun(_u5049, tc_HOL_Obool), tc_fun(_u5049, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5049, tc_HOL_Obool), tc_fun(tc_fun(_u5049, tc_HOL_Obool), tc_fun(_u5049, tc_HOL_Obool)), _u5048), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5049, tc_HOL_Obool))), _u5051)), _u5052)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5049, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5048, tc_fun(_u5049, tc_HOL_Obool)), _u5050), _u5051)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5048, tc_fun(_u5049, tc_HOL_Obool)), _u5050), _u5052))) )).
% 12.21/12.45 cnf(matrix-2594, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5053, tc_fun(_u5054, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5053, tc_HOL_Obool)), _u5055), _u5056)), _u5057) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5054, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5053, tc_fun(_u5054, tc_HOL_Obool)), _u5055), _u5057)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5053, tc_fun(_u5054, tc_HOL_Obool)), _u5056), _u5057))) )).
% 12.21/12.45 cnf(matrix-2595, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5058, tc_fun(_u5059, tc_HOL_Obool)), _u5060), hAPP(hAPP(c_COMBB(tc_fun(_u5059, tc_HOL_Obool), tc_fun(_u5059, tc_HOL_Obool), _u5058), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5059, tc_HOL_Obool)), _u5061)), _u5062)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5059, tc_HOL_Obool)), _u5061), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5058, tc_fun(_u5059, tc_HOL_Obool)), _u5060), _u5062))) )).
% 12.21/12.45 cnf(matrix-2596, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5063, tc_fun(_u5064, tc_HOL_Obool)), _u5065), hAPP(hAPP(c_COMBC(_u5063, tc_fun(_u5064, tc_HOL_Obool), tc_fun(_u5064, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5064, tc_HOL_Obool), tc_fun(tc_fun(_u5064, tc_HOL_Obool), tc_fun(_u5064, tc_HOL_Obool)), _u5063), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5064, tc_HOL_Obool))), _u5066)), _u5067)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5064, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5063, tc_fun(_u5064, tc_HOL_Obool)), _u5065), _u5066)), _u5067)) )).
% 12.21/12.45 cnf(matrix-2597, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5068, tc_HOL_Obool)), _u5069), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5070, tc_fun(_u5068, tc_HOL_Obool)), _u5071), _u5072)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5070, tc_fun(_u5068, tc_HOL_Obool)), _u5071), hAPP(hAPP(c_COMBB(tc_fun(_u5068, tc_HOL_Obool), tc_fun(_u5068, tc_HOL_Obool), _u5070), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5068, tc_HOL_Obool)), _u5069)), _u5072))) )).
% 12.21/12.45 cnf(matrix-2598, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5073, tc_HOL_Obool)), _u5074), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5075, tc_fun(_u5073, tc_HOL_Obool)), _u5076), _u5077)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5075, tc_fun(_u5073, tc_HOL_Obool)), _u5076), hAPP(hAPP(c_COMBB(tc_fun(_u5073, tc_HOL_Obool), tc_fun(_u5073, tc_HOL_Obool), _u5075), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5073, tc_HOL_Obool)), _u5074)), _u5077))) )).
% 12.21/12.45 cnf(matrix-2599, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5078, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5079, tc_fun(_u5078, tc_HOL_Obool)), _u5080), _u5081)), _u5082) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5079, tc_fun(_u5078, tc_HOL_Obool)), _u5080), hAPP(hAPP(c_COMBC(_u5079, tc_fun(_u5078, tc_HOL_Obool), tc_fun(_u5078, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5078, tc_HOL_Obool), tc_fun(tc_fun(_u5078, tc_HOL_Obool), tc_fun(_u5078, tc_HOL_Obool)), _u5079), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5078, tc_HOL_Obool))), _u5081)), _u5082))) )).
% 12.21/12.45 cnf(matrix-2600, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5083, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5084, tc_fun(_u5083, tc_HOL_Obool)), _u5085), _u5086)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5087, tc_fun(_u5083, tc_HOL_Obool)), _u5088), _u5089)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5084, tc_fun(_u5083, tc_HOL_Obool)), _u5085), hAPP(hAPP(c_COMBB(tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool)), tc_fun(_u5083, tc_HOL_Obool), _u5084), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5087, tc_fun(_u5083, tc_HOL_Obool)), _u5088)), hAPP(hAPP(c_COMBC(_u5084, tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool)), tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5083, tc_HOL_Obool), tc_fun(_u5083, tc_HOL_Obool)), tc_fun(tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool)), tc_fun(_u5087, tc_fun(_u5083, tc_HOL_Obool))), _u5084), c_COMBB(tc_fun(_u5083, tc_HOL_Obool), tc_fun(_u5083, tc_HOL_Obool), _u5087)), hAPP(hAPP(c_COMBB(tc_fun(_u5083, tc_HOL_Obool), tc_fun(tc_fun(_u5083, tc_HOL_Obool), tc_fun(_u5083, tc_HOL_Obool)), _u5084), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5083, tc_HOL_Obool))), _u5086))), _u5089)))) )).
% 12.21/12.45 cnf(matrix-2601, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5090) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5091, _u5090), _u5092), hAPP(hAPP(c_COMBB(tc_fun(_u5093, _u5090), _u5090, _u5091), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5093, _u5090), _u5094)), _u5095)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5093, _u5090), _u5094), hAPP(hAPP(c_COMBB(tc_fun(_u5091, _u5090), _u5090, _u5093), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5091, _u5090), _u5092)), hAPP(c_COMBC(_u5091, _u5093, _u5090), _u5095)))) )).
% 12.21/12.45 cnf(matrix-2602, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5096) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5097, tc_fun(_u5098, _u5096)), _u5099), _u5100), _u5101) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5097, _u5096), _u5099), hAPP(hAPP(c_COMBC(_u5097, _u5098, _u5096), _u5100), _u5101))) )).
% 12.21/12.45 cnf(matrix-2603, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5102, tc_fun(_u5103, tc_HOL_Obool)), _u5104), hAPP(hAPP(c_COMBC(_u5102, tc_fun(_u5103, tc_HOL_Obool), tc_fun(_u5103, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5103, tc_HOL_Obool), tc_fun(tc_fun(_u5103, tc_HOL_Obool), tc_fun(_u5103, tc_HOL_Obool)), _u5102), c_Groups_Ominus__class_Ominus(tc_fun(_u5103, tc_HOL_Obool))), _u5105)), _u5106)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5103, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5102, tc_fun(_u5103, tc_HOL_Obool)), _u5104), _u5105)), _u5106)) )).
% 12.21/12.45 cnf(matrix-2604, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5107, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5108, tc_fun(_u5107, tc_HOL_Obool)), _u5109), _u5110)), _u5111) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5108, tc_fun(_u5107, tc_HOL_Obool)), _u5109), hAPP(hAPP(c_COMBC(_u5108, tc_fun(_u5107, tc_HOL_Obool), tc_fun(_u5107, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5107, tc_HOL_Obool), tc_fun(tc_fun(_u5107, tc_HOL_Obool), tc_fun(_u5107, tc_HOL_Obool)), _u5108), c_Groups_Ominus__class_Ominus(tc_fun(_u5107, tc_HOL_Obool))), _u5110)), _u5111))) )).
% 12.21/12.45 cnf(matrix-2605, plain, ( ( hAPP(c_Set_Ovimage(_u5112, _u5113, _u5114), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5115, tc_fun(_u5113, tc_HOL_Obool)), _u5116), _u5117)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5115, tc_fun(_u5112, tc_HOL_Obool)), _u5116), hAPP(hAPP(c_COMBB(tc_fun(_u5113, tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool), _u5115), c_Set_Ovimage(_u5112, _u5113, _u5114)), _u5117))) )).
% 12.21/12.45 cnf(matrix-2606, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5118), _u5119), _u5120)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5118, tc_fun(_u5121, tc_HOL_Obool)), _u5120), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_HOL_Obool), tc_fun(_u5121, tc_HOL_Obool), _u5118), hAPP(c_Set_Oinsert(_u5121), _u5122)), _u5123)) = hAPP(hAPP(c_Set_Oinsert(_u5121), _u5122), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5118, tc_fun(_u5121, tc_HOL_Obool)), _u5120), _u5123))) )).
% 12.21/12.45 cnf(matrix-2607, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5124), _u5125), _u5126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5127, tc_HOL_Obool)), hAPP(_u5128, _u5125)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5124, tc_fun(_u5127, tc_HOL_Obool)), _u5126), _u5128))) )).
% 12.21/12.45 cnf(matrix-2608, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5129), _u5130), _u5131)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5132, tc_HOL_Obool)), hAPP(_u5133, _u5130)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5129, tc_fun(_u5132, tc_HOL_Obool)), _u5131), _u5133)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5129, tc_fun(_u5132, tc_HOL_Obool)), _u5131), _u5133)) )).
% 12.21/12.45 cnf(matrix-2609, plain, ( ( _u5139 != c_Orderings_Obot__class_Obot(tc_fun(_u5141, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u5143), _u5145), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5141, tc_fun(_u5143, tc_HOL_Obool)), _u5139), _u5147)) = hAPP(hAPP(c_Set_Oinsert(_u5143), _u5145), c_Orderings_Obot__class_Obot(tc_fun(_u5143, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-2610, plain, ( ( _u5140 = c_Orderings_Obot__class_Obot(tc_fun(_u5142, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u5144), _u5146), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5142, tc_fun(_u5144, tc_HOL_Obool)), _u5140), _u5148)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5142, tc_fun(_u5144, tc_HOL_Obool)), _u5140), hAPP(hAPP(c_COMBB(tc_fun(_u5144, tc_HOL_Obool), tc_fun(_u5144, tc_HOL_Obool), _u5142), hAPP(c_Set_Oinsert(_u5144), _u5146)), _u5148))) )).
% 12.21/12.45 cnf(matrix-2611, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5149, tc_fun(_u5149, tc_HOL_Obool)), _u5150), hAPP(hAPP(c_COMBC(_u5149, tc_fun(_u5149, tc_HOL_Obool), tc_fun(_u5149, tc_HOL_Obool)), c_Set_Oinsert(_u5149)), c_Orderings_Obot__class_Obot(tc_fun(_u5149, tc_HOL_Obool)))) = _u5150) )).
% 12.21/12.45 cnf(matrix-2612, plain, ( ( _u5156 != c_Orderings_Obot__class_Obot(tc_fun(_u5158, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5158, tc_fun(_u5160, tc_HOL_Obool)), _u5156), hAPP(hAPP(c_COMBB(tc_fun(_u5160, tc_HOL_Obool), tc_fun(_u5160, tc_HOL_Obool), _u5158), hAPP(c_Set_Oinsert(_u5160), _u5162)), _u5164)) = c_Orderings_Obot__class_Obot(tc_fun(_u5160, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2613, plain, ( ( _u5157 = c_Orderings_Obot__class_Obot(tc_fun(_u5159, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5159, tc_fun(_u5161, tc_HOL_Obool)), _u5157), hAPP(hAPP(c_COMBB(tc_fun(_u5161, tc_HOL_Obool), tc_fun(_u5161, tc_HOL_Obool), _u5159), hAPP(c_Set_Oinsert(_u5161), _u5163)), _u5165)) = hAPP(hAPP(c_Set_Oinsert(_u5161), _u5163), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5159, tc_fun(_u5161, tc_HOL_Obool)), _u5157), _u5165))) )).
% 12.21/12.45 cnf(matrix-2614, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5169, _u5168), _u5170), _u5171)), _u5172)) | ~hBOOL(hAPP(hAPP(c_member(_u5169), _u5166), _u5170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(_u5171, _u5166)), _u5172)) )).
% 12.21/12.45 cnf(matrix-2615, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5168) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5169, _u5168), _u5170), _u5171)), _u5172)) | hBOOL(hAPP(hAPP(c_member(_u5169), skolem101(_u5172, _u5171, _u5170, _u5169, _u5168)), _u5170)) )).
% 12.21/12.45 cnf(matrix-2616, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5168) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5169, _u5168), _u5170), _u5171)), _u5172)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), hAPP(_u5171, skolem101(_u5172, _u5171, _u5170, _u5169, _u5168))), _u5172)) )).
% 12.21/12.45 cnf(matrix-2617, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5175) | ~class_Orderings_Olinorder(_u5175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5177, _u5175), _u5178), _u5179))) | hBOOL(hAPP(hAPP(c_member(_u5177), skolem102(_u5179, _u5178, _u5177, _u5176, _u5175)), _u5178)) )).
% 12.21/12.45 cnf(matrix-2618, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5175) | ~class_Orderings_Olinorder(_u5175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5177, _u5175), _u5178), _u5179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(_u5179, skolem102(_u5179, _u5178, _u5177, _u5176, _u5175)))) )).
% 12.21/12.45 cnf(matrix-2619, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5175) | ~class_Orderings_Olinorder(_u5175) | ~hBOOL(hAPP(hAPP(c_member(_u5177), _u5174), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(_u5179, _u5174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5175), _u5176), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5177, _u5175), _u5178), _u5179))) )).
% 12.21/12.45 cnf(matrix-2620, plain, ( ( _u5185 != c_Orderings_Obot__class_Obot(tc_fun(_u5187, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5189, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5187, tc_fun(_u5189, tc_HOL_Obool)), _u5185), _u5191)), _u5193) = _u5193) )).
% 12.21/12.45 cnf(matrix-2621, plain, ( ( _u5186 = c_Orderings_Obot__class_Obot(tc_fun(_u5188, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5190, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5188, tc_fun(_u5190, tc_HOL_Obool)), _u5186), _u5192)), _u5194) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5188, tc_fun(_u5190, tc_HOL_Obool)), _u5186), hAPP(hAPP(c_COMBC(_u5188, tc_fun(_u5190, tc_HOL_Obool), tc_fun(_u5190, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5190, tc_HOL_Obool), tc_fun(tc_fun(_u5190, tc_HOL_Obool), tc_fun(_u5190, tc_HOL_Obool)), _u5188), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5190, tc_HOL_Obool))), _u5192)), _u5194))) )).
% 12.21/12.45 cnf(matrix-2622, plain, ( ( _u5200 != c_Orderings_Obot__class_Obot(tc_fun(_u5202, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5204, tc_HOL_Obool)), _u5206), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5202, tc_fun(_u5204, tc_HOL_Obool)), _u5200), _u5208)) = _u5206) )).
% 12.21/12.45 cnf(matrix-2623, plain, ( ( _u5201 = c_Orderings_Obot__class_Obot(tc_fun(_u5203, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5205, tc_HOL_Obool)), _u5207), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5203, tc_fun(_u5205, tc_HOL_Obool)), _u5201), _u5209)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5203, tc_fun(_u5205, tc_HOL_Obool)), _u5201), hAPP(hAPP(c_COMBB(tc_fun(_u5205, tc_HOL_Obool), tc_fun(_u5205, tc_HOL_Obool), _u5203), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5205, tc_HOL_Obool)), _u5207)), _u5209))) )).
% 12.21/12.45 cnf(matrix-2624, plain, ( ( _u5215 != c_Orderings_Obot__class_Obot(tc_fun(_u5217, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5217, tc_fun(_u5219, tc_HOL_Obool)), _u5215), hAPP(hAPP(c_COMBC(_u5217, tc_fun(_u5219, tc_HOL_Obool), tc_fun(_u5219, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5219, tc_HOL_Obool), tc_fun(tc_fun(_u5219, tc_HOL_Obool), tc_fun(_u5219, tc_HOL_Obool)), _u5217), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5219, tc_HOL_Obool))), _u5221)), _u5223)) = c_Orderings_Obot__class_Obot(tc_fun(_u5219, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2625, plain, ( ( _u5216 = c_Orderings_Obot__class_Obot(tc_fun(_u5218, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5218, tc_fun(_u5220, tc_HOL_Obool)), _u5216), hAPP(hAPP(c_COMBC(_u5218, tc_fun(_u5220, tc_HOL_Obool), tc_fun(_u5220, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5220, tc_HOL_Obool), tc_fun(tc_fun(_u5220, tc_HOL_Obool), tc_fun(_u5220, tc_HOL_Obool)), _u5218), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5220, tc_HOL_Obool))), _u5222)), _u5224)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5220, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5218, tc_fun(_u5220, tc_HOL_Obool)), _u5216), _u5222)), _u5224)) )).
% 12.21/12.45 cnf(matrix-2626, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5226) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5228)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5229)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5227, tc_HOL_Obool)), _u5228), _u5229)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), _u5228)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), _u5229))) | hBOOL(hAPP(hAPP(c_member(_u5227), skolem103(_u5230, _u5229, _u5228, _u5227, _u5226)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5227, tc_HOL_Obool)), _u5228), _u5229))) )).
% 12.21/12.45 cnf(matrix-2627, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5226) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5228)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5229)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5227, tc_HOL_Obool)), _u5228), _u5229)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), _u5228)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5226, _u5227, c_Groups_Otimes__class_Otimes(_u5226)), _u5230), c_Groups_Oone__class_Oone(_u5226)), _u5229))) | ( hAPP(_u5230, skolem103(_u5230, _u5229, _u5228, _u5227, _u5226)) != c_Groups_Oone__class_Oone(_u5226)) )).
% 12.21/12.45 cnf(matrix-2628, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5232) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5234)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5235)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5233, tc_HOL_Obool)), _u5234), _u5235)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5232), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), _u5234)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), _u5235))) | hBOOL(hAPP(hAPP(c_member(_u5233), skolem104(_u5236, _u5235, _u5234, _u5233, _u5232)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5233, tc_HOL_Obool)), _u5234), _u5235))) )).
% 12.21/12.45 cnf(matrix-2629, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5232) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5234)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5235)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5233, tc_HOL_Obool)), _u5234), _u5235)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5232), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), _u5234)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5233, _u5232), _u5236), _u5235))) | ( hAPP(_u5236, skolem104(_u5236, _u5235, _u5234, _u5233, _u5232)) != c_Groups_Oone__class_Oone(_u5232)) )).
% 12.21/12.45 cnf(matrix-2630, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5238) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5239), _u5240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5239), _u5241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5239, tc_HOL_Obool)), _u5240), _u5241)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5238), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), _u5240)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), _u5241))) | hBOOL(hAPP(hAPP(c_member(_u5239), skolem105(_u5242, _u5241, _u5240, _u5239, _u5238)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5239, tc_HOL_Obool)), _u5240), _u5241))) )).
% 12.21/12.45 cnf(matrix-2631, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5238) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5239), _u5240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5239), _u5241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5239, tc_HOL_Obool)), _u5240), _u5241)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5238), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), _u5240)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5239, _u5238), _u5242), _u5241))) | ( hAPP(_u5242, skolem105(_u5242, _u5241, _u5240, _u5239, _u5238)) != c_Groups_Oone__class_Oone(_u5238)) )).
% 12.21/12.45 cnf(matrix-2632, plain, ( ~class_Lattices_Olattice(_u5243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5243), _u5244)) | ~hBOOL(hAPP(hAPP(c_member(_u5243), _u5245), _u5244)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5243, tc_HOL_Obool)), _u5244), hAPP(hAPP(c_Set_Oinsert(_u5243), _u5245), c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5243, _u5244) = _u5245) )).
% 12.21/12.45 cnf(matrix-2633, plain, ( ~class_Lattices_Olattice(_u5243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5243), _u5244)) | ~hBOOL(hAPP(hAPP(c_member(_u5243), _u5245), _u5244)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5243, tc_HOL_Obool)), _u5244), hAPP(hAPP(c_Set_Oinsert(_u5243), _u5245), c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5243, _u5244) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5243), _u5245), c_Big__Operators_Olattice__class_OInf__fin(_u5243, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5243, tc_HOL_Obool)), _u5244), hAPP(hAPP(c_Set_Oinsert(_u5243), _u5245), c_Orderings_Obot__class_Obot(tc_fun(_u5243, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-2634, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5247), _u5248)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5247, _u5246), _u5248), _u5249) = hAPP(hAPP(c_Finite__Set_Ofold(_u5247, _u5246, hAPP(hAPP(c_COMBB(_u5246, tc_fun(_u5246, _u5246), _u5247), c_Lattices_Osemilattice__inf__class_Oinf(_u5246)), _u5249)), c_Orderings_Otop__class_Otop(_u5246)), _u5248)) )).
% 12.21/12.45 cnf(matrix-2635, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5250), _u5251)) | ~hBOOL(hAPP(hAPP(c_member(_u5250), _u5252), _u5251)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5250, tc_HOL_Obool)), _u5251), hAPP(hAPP(c_Set_Oinsert(_u5250), _u5252), c_Orderings_Obot__class_Obot(tc_fun(_u5250, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u5250), _u5251)) )).
% 12.21/12.45 cnf(matrix-2636, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5253) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5253), _u5254)) | ( c_Complete__Lattice_OInf__class_OInf(_u5253, _u5254) = hAPP(hAPP(c_Finite__Set_Ofold(_u5253, _u5253, c_Lattices_Osemilattice__inf__class_Oinf(_u5253)), c_Orderings_Otop__class_Otop(_u5253)), _u5254)) )).
% 12.21/12.45 cnf(matrix-2637, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5255), _u5256), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5255, tc_HOL_Obool), _u5257))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5255, tc_HOL_Obool)), _u5258), _u5257)) | hBOOL(hAPP(hAPP(c_member(_u5255), _u5256), _u5258)) )).
% 12.21/12.45 cnf(matrix-2638, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5259), _u5260), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5259, tc_HOL_Obool), _u5261))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5259, tc_HOL_Obool)), _u5262), _u5261)) | hBOOL(hAPP(hAPP(c_member(_u5259), _u5260), _u5262)) )).
% 12.21/12.45 cnf(matrix-2639, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5264, tc_HOL_Obool)), _u5263), _u5265)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5264), _u5263)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5264), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5264, tc_HOL_Obool), _u5265))) )).
% 12.21/12.45 cnf(matrix-2640, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5266, tc_fun(_u5267, tc_HOL_Obool)), _u5268), _u5269), _u5270)) | ~hBOOL(hAPP(hAPP(c_member(_u5266), _u5271), _u5268)) | hBOOL(hAPP(hAPP(_u5269, _u5271), _u5270)) )).
% 12.21/12.45 cnf(matrix-2641, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5272, tc_fun(_u5273, tc_HOL_Obool)), _u5274), _u5275), _u5276)) | hBOOL(hAPP(hAPP(_u5275, _u5277), _u5276)) | ~hBOOL(hAPP(hAPP(c_member(_u5272), _u5277), _u5274)) )).
% 12.21/12.45 cnf(matrix-2642, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5278), _u5279), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5280, tc_fun(_u5278, tc_HOL_Obool)), _u5281), _u5282))) | ~hBOOL(hAPP(hAPP(c_member(_u5280), _u5283), _u5281)) | hBOOL(hAPP(hAPP(c_member(_u5278), _u5279), hAPP(_u5282, _u5283))) )).
% 12.21/12.45 cnf(matrix-2643, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5284), _u5285), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5286, tc_fun(_u5284, tc_HOL_Obool)), _u5287), _u5288))) | hBOOL(hAPP(hAPP(c_member(_u5284), _u5285), hAPP(_u5288, _u5289))) | ~hBOOL(hAPP(hAPP(c_member(_u5286), _u5289), _u5287)) )).
% 12.21/12.45 cnf(matrix-2644, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5290, tc_fun(_u5291, tc_fun(_u5292, tc_HOL_Obool))), _u5293), _u5294), _u5295), _u5296)) | ~hBOOL(hAPP(hAPP(c_member(_u5290), _u5297), _u5293)) | hBOOL(hAPP(hAPP(hAPP(_u5294, _u5297), _u5295), _u5296)) )).
% 12.21/12.45 cnf(matrix-2645, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5298, tc_fun(_u5299, tc_fun(_u5300, tc_HOL_Obool))), _u5301), _u5302), _u5303), _u5304)) | hBOOL(hAPP(hAPP(hAPP(_u5302, _u5305), _u5303), _u5304)) | ~hBOOL(hAPP(hAPP(c_member(_u5298), _u5305), _u5301)) )).
% 12.21/12.45 cnf(matrix-2646, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5307), _u5306), _u5308)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5309), hAPP(_u5310, _u5306))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5309), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5307, tc_fun(_u5309, tc_HOL_Obool)), _u5308), _u5310))) )).
% 12.21/12.45 cnf(matrix-2647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5311), _u5312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5311)), hAPP(c_Nat_OSuc, _u5312))) )).
% 12.21/12.45 cnf(matrix-2648, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5313), hAPP(c_Nat_OSuc, _u5313))) )).
% 12.21/12.45 cnf(matrix-2649, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5314, tc_fun(_u5315, tc_HOL_Obool)), _u5316), hAPP(hAPP(c_COMBS(_u5314, tc_fun(_u5315, tc_HOL_Obool), tc_fun(_u5315, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5315, tc_HOL_Obool), tc_fun(tc_fun(_u5315, tc_HOL_Obool), tc_fun(_u5315, tc_HOL_Obool)), _u5314), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5315, tc_HOL_Obool))), _u5317)), _u5318)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5315, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5315, tc_HOL_Obool), hAPP(c_Set_Oimage(_u5314, tc_fun(_u5315, tc_HOL_Obool), _u5317), _u5316))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5315, tc_HOL_Obool), hAPP(c_Set_Oimage(_u5314, tc_fun(_u5315, tc_HOL_Obool), _u5318), _u5316)))) )).
% 12.21/12.45 cnf(matrix-2650, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5319) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5320, tc_fun(_u5321, _u5319)), _u5322), _u5323), _u5324) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5320, _u5319), _u5322), hAPP(hAPP(c_COMBC(_u5320, _u5321, _u5319), _u5323), _u5324))) )).
% 12.21/12.45 cnf(matrix-2651, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5325, tc_HOL_Obool)), _u5326), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5325, tc_HOL_Obool), _u5327)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u5325, tc_HOL_Obool), tc_fun(_u5325, tc_HOL_Obool)), _u5327), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5325, tc_HOL_Obool)), _u5326))) )).
% 12.21/12.45 cnf(matrix-2652, plain, ( ( _u5328 != hAPP(c_Nat_OSuc, _u5328)) )).
% 12.21/12.45 cnf(matrix-2653, plain, ( ( hAPP(c_Nat_OSuc, _u5329) != _u5329) )).
% 12.21/12.45 cnf(matrix-2654, plain, ( ( hAPP(c_Nat_OSuc, _u5332) != hAPP(c_Nat_OSuc, _u5334)) | ( _u5332 = _u5334) )).
% 12.21/12.45 cnf(matrix-2655, plain, ( ( _u5333 != _u5335) | ( hAPP(c_Nat_OSuc, _u5333) = hAPP(c_Nat_OSuc, _u5335)) )).
% 12.21/12.45 cnf(matrix-2656, plain, ( ( hAPP(c_Nat_OSuc, _u5336) != hAPP(c_Nat_OSuc, _u5337)) | ( _u5336 = _u5337) )).
% 12.21/12.45 cnf(matrix-2657, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5338) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5339, _u5338), _u5340), hAPP(hAPP(c_COMBB(tc_fun(_u5341, _u5338), _u5338, _u5339), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5341, _u5338), _u5342)), _u5343)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5341, _u5338), _u5342), hAPP(hAPP(c_COMBB(tc_fun(_u5339, _u5338), _u5338, _u5341), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5339, _u5338), _u5340)), hAPP(c_COMBC(_u5339, _u5341, _u5338), _u5343)))) )).
% 12.21/12.45 cnf(matrix-2658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5344)), hAPP(c_Nat_OSuc, _u5345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5344), _u5345)) )).
% 12.21/12.45 cnf(matrix-2659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5346)), _u5347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5346), _u5347)) )).
% 12.21/12.45 cnf(matrix-2660, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5348), hAPP(c_Nat_OSuc, _u5349))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5348), _u5349)) | ( _u5348 = _u5349) )).
% 12.21/12.45 cnf(matrix-2661, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5350), _u5351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5351), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5350)), _u5352)) )).
% 12.21/12.45 cnf(matrix-2662, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5353), _u5354)) | ( hAPP(c_Nat_OSuc, _u5353) = _u5354) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5353)), _u5354)) )).
% 12.21/12.45 cnf(matrix-2663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5355), _u5356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5355), hAPP(c_Nat_OSuc, _u5356))) )).
% 12.21/12.45 cnf(matrix-2664, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5357), _u5358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5357), hAPP(c_Nat_OSuc, _u5358))) | ( _u5358 = _u5357) )).
% 12.21/12.45 cnf(matrix-2665, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5359), _u5360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5359), hAPP(c_Nat_OSuc, _u5360))) | ( _u5359 = _u5360) )).
% 12.21/12.45 cnf(matrix-2666, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5359), _u5360)) | ( _u5359 != _u5360) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5359), hAPP(c_Nat_OSuc, _u5360))) )).
% 12.21/12.45 cnf(matrix-2667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5363)), hAPP(c_Nat_OSuc, _u5365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5363), _u5365)) )).
% 12.21/12.45 cnf(matrix-2668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5364), _u5366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5364)), hAPP(c_Nat_OSuc, _u5366))) )).
% 12.21/12.45 cnf(matrix-2669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5369), hAPP(c_Nat_OSuc, _u5371))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5369), _u5371)) | ( _u5369 = _u5371) )).
% 12.21/12.45 cnf(matrix-2670, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5370), hAPP(c_Nat_OSuc, _u5372))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5370), _u5372)) )).
% 12.21/12.45 cnf(matrix-2671, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5370), hAPP(c_Nat_OSuc, _u5372))) | ( _u5370 != _u5372) )).
% 12.21/12.45 cnf(matrix-2672, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5375), _u5377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5377), hAPP(c_Nat_OSuc, _u5375))) )).
% 12.21/12.45 cnf(matrix-2673, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5378), hAPP(c_Nat_OSuc, _u5376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5376), _u5378)) )).
% 12.21/12.45 cnf(matrix-2674, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5379), hAPP(c_Nat_OSuc, _u5380)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5379), _u5380))) )).
% 12.21/12.45 cnf(matrix-2675, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5381)), _u5382) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5381), _u5382))) )).
% 12.21/12.45 cnf(matrix-2676, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5383)), _u5384) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5383), hAPP(c_Nat_OSuc, _u5384))) )).
% 12.21/12.45 cnf(matrix-2677, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5385)), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5385), _u5386)) )).
% 12.21/12.45 cnf(matrix-2678, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5387), hAPP(c_Nat_OSuc, _u5388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5387), _u5388)) | ( _u5387 = hAPP(c_Nat_OSuc, _u5388)) )).
% 12.21/12.45 cnf(matrix-2679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5389), _u5390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5389), hAPP(c_Nat_OSuc, _u5390))) )).
% 12.21/12.45 cnf(matrix-2680, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5393)), hAPP(c_Nat_OSuc, _u5395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5393), _u5395)) )).
% 12.21/12.45 cnf(matrix-2681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5394), _u5396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5394)), hAPP(c_Nat_OSuc, _u5396))) )).
% 12.21/12.45 cnf(matrix-2682, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5399), hAPP(c_Nat_OSuc, _u5401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5399), _u5401)) | ( _u5399 = hAPP(c_Nat_OSuc, _u5401)) )).
% 12.21/12.45 cnf(matrix-2683, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5400), hAPP(c_Nat_OSuc, _u5402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5400), _u5402)) )).
% 12.21/12.45 cnf(matrix-2684, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5400), hAPP(c_Nat_OSuc, _u5402))) | ( _u5400 != hAPP(c_Nat_OSuc, _u5402)) )).
% 12.21/12.45 cnf(matrix-2685, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5405), _u5407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5407)), _u5405)) )).
% 12.21/12.45 cnf(matrix-2686, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5408)), _u5406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5406), _u5408)) )).
% 12.21/12.45 cnf(matrix-2687, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5409)), _u5409)) )).
% 12.21/12.45 cnf(matrix-2688, 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, _u5410)), _u5411)), hAPP(c_Nat_OSuc, _u5412)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5410), _u5411)), _u5412)) )).
% 12.21/12.45 cnf(matrix-2689, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5413)), hAPP(c_Nat_OSuc, _u5414)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5413), _u5414)) )).
% 12.21/12.45 cnf(matrix-2690, plain, ( ( _u5420 = _u5422) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5418)), _u5420) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5418)), _u5422)) )).
% 12.21/12.45 cnf(matrix-2691, plain, ( ( _u5421 != _u5423) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5419)), _u5421) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5419)), _u5423)) )).
% 12.21/12.45 cnf(matrix-2692, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5424, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5424, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u5424, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2693, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5425), _u5426)) | ( _u5426 = c_Orderings_Obot__class_Obot(tc_fun(_u5425, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5425, _u5426) = c_Complete__Lattice_OInf__class_OInf(_u5425, _u5426)) )).
% 12.21/12.45 cnf(matrix-2694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u5427, tc_HOL_Obool), tc_HOL_Obool)), _u5428), _u5429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5427, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5427, tc_HOL_Obool), _u5429)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5427, tc_HOL_Obool), _u5428))) )).
% 12.21/12.45 cnf(matrix-2695, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5430, tc_HOL_Obool)), _u5431), _u5432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5430, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5430, tc_HOL_Obool), _u5432)), _u5431)) )).
% 12.21/12.45 cnf(matrix-2696, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5433, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u5433, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5433, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2697, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5434, tc_HOL_Obool)), _u5435), _u5436) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5434, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u5434, tc_HOL_Obool)), _u5435), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u5434, tc_HOL_Obool)), _u5436), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u5434, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.21/12.45 cnf(matrix-2698, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5437, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u5437, tc_HOL_Obool)), _u5438), _u5439)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5437, tc_HOL_Obool)), _u5438), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5437, tc_HOL_Obool), _u5439))) )).
% 12.21/12.45 cnf(matrix-2699, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5440, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u5440, tc_HOL_Obool), tc_HOL_Obool)), _u5441), _u5442)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5440, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5440, tc_HOL_Obool), _u5441)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5440, tc_HOL_Obool), _u5442))) )).
% 12.21/12.45 cnf(matrix-2700, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5450), _u5452), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5454, tc_fun(_u5450, tc_HOL_Obool)), _u5456), _u5458))) | ~hBOOL(hAPP(hAPP(c_member(_u5454), _u5443), _u5456)) | hBOOL(hAPP(hAPP(c_member(_u5450), _u5452), hAPP(_u5458, _u5443))) )).
% 12.21/12.45 cnf(matrix-2701, plain, ( hBOOL(hAPP(hAPP(c_member(_u5451), _u5453), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5455, tc_fun(_u5451, tc_HOL_Obool)), _u5457), _u5459))) | hBOOL(hAPP(hAPP(c_member(_u5455), skolem106(_u5459, _u5457, _u5455, _u5453, _u5451)), _u5457)) )).
% 12.21/12.45 cnf(matrix-2702, plain, ( hBOOL(hAPP(hAPP(c_member(_u5451), _u5453), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5455, tc_fun(_u5451, tc_HOL_Obool)), _u5457), _u5459))) | ~hBOOL(hAPP(hAPP(c_member(_u5451), _u5453), hAPP(_u5459, skolem106(_u5459, _u5457, _u5455, _u5453, _u5451)))) )).
% 12.21/12.45 cnf(matrix-2703, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5460, tc_fun(_u5461, tc_HOL_Obool)), _u5462), hAPP(hAPP(c_COMBB(tc_fun(_u5461, tc_HOL_Obool), tc_fun(_u5461, tc_HOL_Obool), _u5460), hAPP(c_Set_Oinsert(_u5461), _u5463)), _u5464)) = hAPP(hAPP(c_Set_Oinsert(_u5461), _u5463), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5460, tc_fun(_u5461, tc_HOL_Obool)), _u5462), _u5464))) )).
% 12.21/12.45 cnf(matrix-2704, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u5465), _u5466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5467, tc_fun(_u5465, tc_HOL_Obool)), _u5468), _u5469)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5467, tc_fun(_u5465, tc_HOL_Obool)), _u5468), hAPP(hAPP(c_COMBB(tc_fun(_u5465, tc_HOL_Obool), tc_fun(_u5465, tc_HOL_Obool), _u5467), hAPP(c_Set_Oinsert(_u5465), _u5466)), _u5469))) )).
% 12.21/12.45 cnf(matrix-2705, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5477, tc_HOL_Obool)), _u5479), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5481, tc_fun(_u5477, tc_HOL_Obool)), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_member(_u5481), _u5470), _u5483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5477, tc_HOL_Obool)), _u5479), hAPP(_u5485, _u5470))) )).
% 12.21/12.45 cnf(matrix-2706, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5478, tc_HOL_Obool)), _u5480), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5482, tc_fun(_u5478, tc_HOL_Obool)), _u5484), _u5486))) | hBOOL(hAPP(hAPP(c_member(_u5482), skolem107(_u5486, _u5484, _u5482, _u5480, _u5478)), _u5484)) )).
% 12.21/12.45 cnf(matrix-2707, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5478, tc_HOL_Obool)), _u5480), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5482, tc_fun(_u5478, tc_HOL_Obool)), _u5484), _u5486))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5478, tc_HOL_Obool)), _u5480), hAPP(_u5486, skolem107(_u5486, _u5484, _u5482, _u5480, _u5478)))) )).
% 12.21/12.45 cnf(matrix-2708, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5493, tc_fun(_u5495, tc_HOL_Obool)), _u5497), _u5499) != c_Orderings_Otop__class_Otop(tc_fun(_u5495, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5493), _u5487), _u5497)) | ( hAPP(_u5499, _u5487) = c_Orderings_Otop__class_Otop(tc_fun(_u5495, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2709, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5494, tc_fun(_u5496, tc_HOL_Obool)), _u5498), _u5500) = c_Orderings_Otop__class_Otop(tc_fun(_u5496, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u5494), skolem108(_u5500, _u5498, _u5496, _u5494)), _u5498)) )).
% 12.21/12.45 cnf(matrix-2710, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5494, tc_fun(_u5496, tc_HOL_Obool)), _u5498), _u5500) = c_Orderings_Otop__class_Otop(tc_fun(_u5496, tc_HOL_Obool))) | ( hAPP(_u5500, skolem108(_u5500, _u5498, _u5496, _u5494)) != c_Orderings_Otop__class_Otop(tc_fun(_u5496, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2711, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5507, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5509, tc_fun(_u5507, tc_HOL_Obool)), _u5511), _u5513)) | ~hBOOL(hAPP(hAPP(c_member(_u5509), _u5501), _u5511)) | ( hAPP(_u5513, _u5501) = c_Orderings_Otop__class_Otop(tc_fun(_u5507, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2712, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5508, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5510, tc_fun(_u5508, tc_HOL_Obool)), _u5512), _u5514)) | hBOOL(hAPP(hAPP(c_member(_u5510), skolem109(_u5514, _u5512, _u5510, _u5508)), _u5512)) )).
% 12.21/12.45 cnf(matrix-2713, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5508, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5510, tc_fun(_u5508, tc_HOL_Obool)), _u5512), _u5514)) | ( hAPP(_u5514, skolem109(_u5514, _u5512, _u5510, _u5508)) != c_Orderings_Otop__class_Otop(tc_fun(_u5508, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2714, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5515, tc_fun(_u5516, tc_HOL_Obool)), _u5517), hAPP(hAPP(c_COMBB(_u5518, tc_fun(_u5516, tc_HOL_Obool), _u5515), _u5519), _u5520)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5518, tc_fun(_u5516, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5515, _u5518, _u5520), _u5517)), _u5519)) )).
% 12.21/12.45 cnf(matrix-2715, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5521, tc_fun(_u5522, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5523, _u5521, _u5524), _u5525)), _u5526) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5523, tc_fun(_u5522, tc_HOL_Obool)), _u5525), hAPP(hAPP(c_COMBB(_u5521, tc_fun(_u5522, tc_HOL_Obool), _u5523), _u5526), _u5524))) )).
% 12.21/12.45 cnf(matrix-2716, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5527, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5528, tc_fun(_u5527, tc_HOL_Obool)), _u5529), _u5530)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5531, tc_fun(_u5527, tc_HOL_Obool)), _u5532), _u5533)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5528, tc_fun(_u5527, tc_HOL_Obool)), _u5529), hAPP(hAPP(c_COMBB(tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool)), tc_fun(_u5527, tc_HOL_Obool), _u5528), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5531, tc_fun(_u5527, tc_HOL_Obool)), _u5532)), hAPP(hAPP(c_COMBC(_u5528, tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool)), tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5527, tc_HOL_Obool), tc_fun(_u5527, tc_HOL_Obool)), tc_fun(tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool)), tc_fun(_u5531, tc_fun(_u5527, tc_HOL_Obool))), _u5528), c_COMBB(tc_fun(_u5527, tc_HOL_Obool), tc_fun(_u5527, tc_HOL_Obool), _u5531)), hAPP(hAPP(c_COMBB(tc_fun(_u5527, tc_HOL_Obool), tc_fun(tc_fun(_u5527, tc_HOL_Obool), tc_fun(_u5527, tc_HOL_Obool)), _u5528), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5527, tc_HOL_Obool))), _u5530))), _u5533)))) )).
% 12.21/12.45 cnf(matrix-2717, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5534, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5535, tc_fun(_u5534, tc_HOL_Obool)), _u5536), _u5537)), _u5538) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5535, tc_fun(_u5534, tc_HOL_Obool)), _u5536), hAPP(hAPP(c_COMBC(_u5535, tc_fun(_u5534, tc_HOL_Obool), tc_fun(_u5534, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5534, tc_HOL_Obool), tc_fun(tc_fun(_u5534, tc_HOL_Obool), tc_fun(_u5534, tc_HOL_Obool)), _u5535), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5534, tc_HOL_Obool))), _u5537)), _u5538))) )).
% 12.21/12.45 cnf(matrix-2718, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5539, tc_HOL_Obool)), _u5540), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5541, tc_fun(_u5539, tc_HOL_Obool)), _u5542), _u5543)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5541, tc_fun(_u5539, tc_HOL_Obool)), _u5542), hAPP(hAPP(c_COMBB(tc_fun(_u5539, tc_HOL_Obool), tc_fun(_u5539, tc_HOL_Obool), _u5541), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5539, tc_HOL_Obool)), _u5540)), _u5543))) )).
% 12.21/12.45 cnf(matrix-2719, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5544, tc_HOL_Obool)), _u5545), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5546, tc_fun(_u5544, tc_HOL_Obool)), _u5547), _u5548)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5546, tc_fun(_u5544, tc_HOL_Obool)), _u5547), hAPP(hAPP(c_COMBB(tc_fun(_u5544, tc_HOL_Obool), tc_fun(_u5544, tc_HOL_Obool), _u5546), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5544, tc_HOL_Obool)), _u5545)), _u5548))) )).
% 12.21/12.45 cnf(matrix-2720, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5549, tc_fun(_u5550, tc_HOL_Obool)), _u5551), hAPP(hAPP(c_COMBC(_u5549, tc_fun(_u5550, tc_HOL_Obool), tc_fun(_u5550, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5550, tc_HOL_Obool), tc_fun(tc_fun(_u5550, tc_HOL_Obool), tc_fun(_u5550, tc_HOL_Obool)), _u5549), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5550, tc_HOL_Obool))), _u5552)), _u5553)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5550, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5549, tc_fun(_u5550, tc_HOL_Obool)), _u5551), _u5552)), _u5553)) )).
% 12.21/12.45 cnf(matrix-2721, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5554, tc_fun(_u5555, tc_HOL_Obool)), _u5556), hAPP(hAPP(c_COMBB(tc_fun(_u5555, tc_HOL_Obool), tc_fun(_u5555, tc_HOL_Obool), _u5554), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5555, tc_HOL_Obool)), _u5557)), _u5558)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5555, tc_HOL_Obool)), _u5557), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5554, tc_fun(_u5555, tc_HOL_Obool)), _u5556), _u5558))) )).
% 12.21/12.45 cnf(matrix-2722, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5559, tc_fun(_u5560, tc_HOL_Obool)), _u5561), hAPP(hAPP(c_COMBS(_u5559, tc_fun(_u5560, tc_HOL_Obool), tc_fun(_u5560, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5560, tc_HOL_Obool), tc_fun(tc_fun(_u5560, tc_HOL_Obool), tc_fun(_u5560, tc_HOL_Obool)), _u5559), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5560, tc_HOL_Obool))), _u5562)), _u5563)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5560, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5559, tc_fun(_u5560, tc_HOL_Obool)), _u5561), _u5562)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5559, tc_fun(_u5560, tc_HOL_Obool)), _u5561), _u5563))) )).
% 12.21/12.45 cnf(matrix-2723, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5564, tc_fun(_u5565, tc_HOL_Obool)), _u5566), hAPP(hAPP(c_COMBC(_u5564, tc_fun(_u5567, tc_fun(_u5565, tc_HOL_Obool)), tc_fun(_u5565, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5567, tc_HOL_Obool), tc_fun(tc_fun(_u5567, tc_fun(_u5565, tc_HOL_Obool)), tc_fun(_u5565, tc_HOL_Obool)), _u5564), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5567, tc_fun(_u5565, tc_HOL_Obool))), _u5568)), _u5569)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5567, tc_fun(_u5565, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5564, tc_fun(_u5567, tc_HOL_Obool)), _u5566), _u5568)), _u5569)) )).
% 12.21/12.45 cnf(matrix-2724, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5570, tc_fun(_u5571, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5572, tc_fun(_u5570, tc_HOL_Obool)), _u5573), _u5574)), _u5575) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5572, tc_fun(_u5571, tc_HOL_Obool)), _u5573), hAPP(hAPP(c_COMBC(_u5572, tc_fun(_u5570, tc_fun(_u5571, tc_HOL_Obool)), tc_fun(_u5571, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5570, tc_HOL_Obool), tc_fun(tc_fun(_u5570, tc_fun(_u5571, tc_HOL_Obool)), tc_fun(_u5571, tc_HOL_Obool)), _u5572), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5570, tc_fun(_u5571, tc_HOL_Obool))), _u5574)), _u5575))) )).
% 12.21/12.45 cnf(matrix-2725, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5576)), hAPP(c_Nat_OSuc, _u5577)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u5576), _u5577))) )).
% 12.21/12.45 cnf(matrix-2726, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5578)), hAPP(c_Nat_OSuc, _u5579)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u5578), _u5579))) )).
% 12.21/12.45 cnf(matrix-2727, plain, ( ( hAPP(c_Set_Ovimage(_u5580, _u5581, _u5582), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5583, tc_fun(_u5581, tc_HOL_Obool)), _u5584), _u5585)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5583, tc_fun(_u5580, tc_HOL_Obool)), _u5584), hAPP(hAPP(c_COMBB(tc_fun(_u5581, tc_HOL_Obool), tc_fun(_u5580, tc_HOL_Obool), _u5583), c_Set_Ovimage(_u5580, _u5581, _u5582)), _u5585))) )).
% 12.21/12.45 cnf(matrix-2728, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), c_Complete__Lattice_OInf__class_OInf(_u5588, _u5590))) | ~hBOOL(hAPP(hAPP(c_member(_u5588), _u5586), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), _u5586)) )).
% 12.21/12.45 cnf(matrix-2729, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), c_Complete__Lattice_OInf__class_OInf(_u5588, _u5590))) | hBOOL(hAPP(hAPP(c_member(_u5588), skolem110(_u5590, _u5589, _u5588)), _u5590)) )).
% 12.21/12.45 cnf(matrix-2730, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), c_Complete__Lattice_OInf__class_OInf(_u5588, _u5590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), skolem110(_u5590, _u5589, _u5588))) )).
% 12.21/12.45 cnf(matrix-2731, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5593) | ~class_Orderings_Olinorder(_u5593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), c_Complete__Lattice_OInf__class_OInf(_u5593, _u5594)), _u5595)) | hBOOL(hAPP(hAPP(c_member(_u5593), skolem111(_u5595, _u5594, _u5593)), _u5594)) )).
% 12.21/12.45 cnf(matrix-2732, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5593) | ~class_Orderings_Olinorder(_u5593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), c_Complete__Lattice_OInf__class_OInf(_u5593, _u5594)), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), skolem111(_u5595, _u5594, _u5593)), _u5595)) )).
% 12.21/12.45 cnf(matrix-2733, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5593) | ~class_Orderings_Olinorder(_u5593) | ~hBOOL(hAPP(hAPP(c_member(_u5593), _u5592), _u5594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), _u5592), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5593), c_Complete__Lattice_OInf__class_OInf(_u5593, _u5594)), _u5595)) )).
% 12.21/12.45 cnf(matrix-2734, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u5596, _u5597, _u5598), _u5599), hAPP(c_Nat_OSuc, _u5600)) = hAPP(hAPP(_u5598, _u5599), hAPP(hAPP(c_Power_Opower_Opower(_u5596, _u5597, _u5598), _u5599), _u5600))) )).
% 12.21/12.45 cnf(matrix-2735, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u5601) )).
% 12.21/12.45 cnf(matrix-2736, plain, ( ~class_Rings_Ocomm__semiring__1(_u5602) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5602), _u5603), hAPP(c_Nat_OSuc, _u5604)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5602), _u5603), hAPP(hAPP(c_Power_Opower__class_Opower(_u5602), _u5603), _u5604))) )).
% 12.21/12.45 cnf(matrix-2737, plain, ( ~class_Rings_Ocomm__semiring__1(_u5605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5605), _u5606), hAPP(hAPP(c_Power_Opower__class_Opower(_u5605), _u5606), _u5607)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5605), _u5606), hAPP(c_Nat_OSuc, _u5607))) )).
% 12.21/12.45 cnf(matrix-2738, plain, ( ~class_Rings_Ocomm__semiring__1(_u5608) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), hAPP(hAPP(c_Power_Opower__class_Opower(_u5608), _u5609), _u5610)), _u5609) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5608), _u5609), hAPP(c_Nat_OSuc, _u5610))) )).
% 12.21/12.45 cnf(matrix-2739, plain, ( ~class_Groups_Omonoid__mult(_u5611) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5611), _u5612), hAPP(c_Nat_OSuc, _u5613)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5611), hAPP(hAPP(c_Power_Opower__class_Opower(_u5611), _u5612), _u5613)), _u5612)) )).
% 12.21/12.45 cnf(matrix-2740, plain, ( ~class_Power_Opower(_u5614) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5614), _u5615), hAPP(c_Nat_OSuc, _u5616)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5614), _u5615), hAPP(hAPP(c_Power_Opower__class_Opower(_u5614), _u5615), _u5616))) )).
% 12.21/12.45 cnf(matrix-2741, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5617), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5617), _u5618)))) )).
% 12.21/12.45 cnf(matrix-2742, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5619), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5620), _u5619)))) )).
% 12.21/12.45 cnf(matrix-2743, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5625), _u5627)) | ( _u5627 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5625), skolem112(_u5627, _u5625)))) )).
% 12.21/12.45 cnf(matrix-2744, plain, ( ( _u5628 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5626), _u5622))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5626), _u5628)) )).
% 12.21/12.45 cnf(matrix-2745, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5633, _u5631), _u5634), _u5635))) | ~hBOOL(hAPP(hAPP(c_member(_u5633), _u5629), _u5634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(_u5635, _u5629))) )).
% 12.21/12.45 cnf(matrix-2746, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5631) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5633, _u5631), _u5634), _u5635))) | hBOOL(hAPP(hAPP(c_member(_u5633), skolem113(_u5635, _u5634, _u5633, _u5632, _u5631)), _u5634)) )).
% 12.21/12.45 cnf(matrix-2747, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5631) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5633, _u5631), _u5634), _u5635))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5631), _u5632), hAPP(_u5635, skolem113(_u5635, _u5634, _u5633, _u5632, _u5631)))) )).
% 12.21/12.45 cnf(matrix-2748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5636)), _u5637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5636), _u5637)) )).
% 12.21/12.45 cnf(matrix-2749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5638), _u5639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5639), hAPP(c_Nat_OSuc, _u5638))) | ( _u5639 = _u5638) )).
% 12.21/12.45 cnf(matrix-2750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5638), _u5639)) | ( _u5639 != _u5638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5639), hAPP(c_Nat_OSuc, _u5638))) )).
% 12.21/12.45 cnf(matrix-2751, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5640), _u5641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5640)), _u5641)) )).
% 12.21/12.45 cnf(matrix-2752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5642), _u5643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5642), hAPP(c_Nat_OSuc, _u5643))) )).
% 12.21/12.45 cnf(matrix-2753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5646)), _u5648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5646), _u5648)) )).
% 12.21/12.45 cnf(matrix-2754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5647), _u5649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5647)), _u5649)) )).
% 12.21/12.45 cnf(matrix-2755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5652), hAPP(c_Nat_OSuc, _u5654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5652), _u5654)) )).
% 12.21/12.45 cnf(matrix-2756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5653), _u5655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5653), hAPP(c_Nat_OSuc, _u5655))) )).
% 12.21/12.45 cnf(matrix-2757, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5658), _u5660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5658)), _u5660)) )).
% 12.21/12.45 cnf(matrix-2758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5659)), _u5661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5659), _u5661)) )).
% 12.21/12.45 cnf(matrix-2759, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5664) | ~class_Orderings_Olinorder(_u5664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5665, _u5664), _u5666), _u5667)), _u5668)) | hBOOL(hAPP(hAPP(c_member(_u5665), skolem114(_u5668, _u5667, _u5666, _u5665, _u5664)), _u5666)) )).
% 12.21/12.45 cnf(matrix-2760, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5664) | ~class_Orderings_Olinorder(_u5664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5665, _u5664), _u5666), _u5667)), _u5668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(_u5667, skolem114(_u5668, _u5667, _u5666, _u5665, _u5664))), _u5668)) )).
% 12.21/12.45 cnf(matrix-2761, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5664) | ~class_Orderings_Olinorder(_u5664) | ~hBOOL(hAPP(hAPP(c_member(_u5665), _u5663), _u5666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(_u5667, _u5663)), _u5668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5664), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5665, _u5664), _u5666), _u5667)), _u5668)) )).
% 12.21/12.45 cnf(matrix-2762, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5669), _u5670), _u5671)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5669, tc_fun(_u5672, tc_HOL_Obool)), _u5671), hAPP(hAPP(c_COMBB(tc_fun(_u5672, tc_HOL_Obool), tc_fun(_u5672, tc_HOL_Obool), _u5669), hAPP(c_Set_Oinsert(_u5672), _u5673)), _u5674)) = hAPP(hAPP(c_Set_Oinsert(_u5672), _u5673), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5669, tc_fun(_u5672, tc_HOL_Obool)), _u5671), _u5674))) )).
% 12.21/12.45 cnf(matrix-2763, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5675), _u5676)), hAPP(c_Nat_OSuc, _u5675))) )).
% 12.21/12.45 cnf(matrix-2764, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5682), _u5684)) | ~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, _u5680)), _u5682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5680)), _u5684))) )).
% 12.21/12.45 cnf(matrix-2765, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5683), _u5685)) | 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, _u5681)), _u5683)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5681)), _u5685))) )).
% 12.21/12.45 cnf(matrix-2766, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5686), _u5687), _u5688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5689, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5686, tc_fun(_u5689, tc_HOL_Obool)), _u5688), _u5690)), hAPP(_u5690, _u5687))) )).
% 12.21/12.45 cnf(matrix-2767, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5695, tc_fun(_u5697, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5695, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5697, tc_HOL_Obool), tc_fun(_u5697, tc_HOL_Obool), _u5695), hAPP(c_COMBC(_u5697, tc_fun(_u5697, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5697))), _u5699)), _u5701)) | hBOOL(hAPP(hAPP(c_member(_u5697), _u5701), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5695, tc_fun(_u5697, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5695, tc_HOL_Obool))), _u5699))) )).
% 12.21/12.45 cnf(matrix-2768, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5698), _u5702), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5696, tc_fun(_u5698, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5696, tc_HOL_Obool))), _u5700))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5696, tc_fun(_u5698, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5696, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5698, tc_HOL_Obool), tc_fun(_u5698, tc_HOL_Obool), _u5696), hAPP(c_COMBC(_u5698, tc_fun(_u5698, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5698))), _u5700)), _u5702)) )).
% 12.21/12.45 cnf(matrix-2769, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5703)), _u5704) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5704), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5703), _u5704))) )).
% 12.21/12.45 cnf(matrix-2770, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5705), hAPP(c_Nat_OSuc, _u5706)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5705), _u5706))) )).
% 12.21/12.45 cnf(matrix-2771, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5707), _u5708), _u5709)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5710, tc_HOL_Obool)), hAPP(_u5711, _u5708)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5707, tc_fun(_u5710, tc_HOL_Obool)), _u5709), _u5711)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5707, tc_fun(_u5710, tc_HOL_Obool)), _u5709), _u5711)) )).
% 12.21/12.45 cnf(matrix-2772, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5712) | ( _u5713 = c_Orderings_Obot__class_Obot(tc_fun(_u5714, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5714, _u5712), _u5713), hAPP(c_COMBK(_u5712, _u5714), _u5715)) = _u5715) )).
% 12.21/12.45 cnf(matrix-2773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5716), _u5717)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5717)), _u5716) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5717), _u5716))) )).
% 12.21/12.45 cnf(matrix-2774, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5723), _u5725)) | ~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, _u5721)), _u5723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5721)), _u5725))) )).
% 12.21/12.45 cnf(matrix-2775, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5724), _u5726)) | 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, _u5722)), _u5724)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5722)), _u5726))) )).
% 12.21/12.45 cnf(matrix-2776, plain, ( ( _u5731 != c_Orderings_Obot__class_Obot(tc_fun(_u5733, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5733, tc_fun(_u5735, tc_HOL_Obool)), _u5731), hAPP(c_COMBK(tc_fun(_u5735, tc_HOL_Obool), _u5733), _u5737)) = c_Orderings_Otop__class_Otop(tc_fun(_u5735, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2777, plain, ( ( _u5732 = c_Orderings_Obot__class_Obot(tc_fun(_u5734, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5734, tc_fun(_u5736, tc_HOL_Obool)), _u5732), hAPP(c_COMBK(tc_fun(_u5736, tc_HOL_Obool), _u5734), _u5738)) = _u5738) )).
% 12.21/12.45 cnf(matrix-2778, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5739, tc_fun(_u5740, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u5739, tc_HOL_Obool))), _u5741) = c_Orderings_Otop__class_Otop(tc_fun(_u5740, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2779, plain, ( ( _u5747 != c_Orderings_Obot__class_Obot(tc_fun(_u5749, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5751, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5749, tc_fun(_u5751, tc_HOL_Obool)), _u5747), _u5753)), _u5755) = _u5755) )).
% 12.21/12.45 cnf(matrix-2780, plain, ( ( _u5748 = c_Orderings_Obot__class_Obot(tc_fun(_u5750, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5752, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5750, tc_fun(_u5752, tc_HOL_Obool)), _u5748), _u5754)), _u5756) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5750, tc_fun(_u5752, tc_HOL_Obool)), _u5748), hAPP(hAPP(c_COMBC(_u5750, tc_fun(_u5752, tc_HOL_Obool), tc_fun(_u5752, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5752, tc_HOL_Obool), tc_fun(tc_fun(_u5752, tc_HOL_Obool), tc_fun(_u5752, tc_HOL_Obool)), _u5750), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5752, tc_HOL_Obool))), _u5754)), _u5756))) )).
% 12.21/12.45 cnf(matrix-2781, plain, ( ( _u5762 != c_Orderings_Obot__class_Obot(tc_fun(_u5764, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5766, tc_HOL_Obool)), _u5768), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5764, tc_fun(_u5766, tc_HOL_Obool)), _u5762), _u5770)) = _u5768) )).
% 12.21/12.45 cnf(matrix-2782, plain, ( ( _u5763 = c_Orderings_Obot__class_Obot(tc_fun(_u5765, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5767, tc_HOL_Obool)), _u5769), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5765, tc_fun(_u5767, tc_HOL_Obool)), _u5763), _u5771)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5765, tc_fun(_u5767, tc_HOL_Obool)), _u5763), hAPP(hAPP(c_COMBB(tc_fun(_u5767, tc_HOL_Obool), tc_fun(_u5767, tc_HOL_Obool), _u5765), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5767, tc_HOL_Obool)), _u5769)), _u5771))) )).
% 12.21/12.45 cnf(matrix-2783, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5772, tc_fun(_u5773, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u5772), _u5774), _u5775)), _u5776) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5773, tc_HOL_Obool)), hAPP(_u5776, _u5774)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5772, tc_fun(_u5773, tc_HOL_Obool)), _u5775), _u5776))) )).
% 12.21/12.45 cnf(matrix-2784, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5777, tc_fun(_u5778, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5777, tc_HOL_Obool)), _u5779), _u5780)), _u5781) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5778, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5777, tc_fun(_u5778, tc_HOL_Obool)), _u5779), _u5781)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5777, tc_fun(_u5778, tc_HOL_Obool)), _u5780), _u5781))) )).
% 12.21/12.45 cnf(matrix-2785, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5782)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5782) )).
% 12.21/12.45 cnf(matrix-2786, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5783, tc_fun(_u5784, tc_HOL_Obool)), _u5785), hAPP(hAPP(c_COMBB(tc_fun(_u5784, tc_HOL_Obool), tc_fun(_u5784, tc_HOL_Obool), _u5783), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5784, tc_HOL_Obool)), _u5786)), _u5787)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5784, tc_HOL_Obool)), _u5786), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5783, tc_fun(_u5784, tc_HOL_Obool)), _u5785), _u5787))) )).
% 12.21/12.45 cnf(matrix-2787, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5788, tc_HOL_Obool)), _u5789), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5790, tc_fun(_u5788, tc_HOL_Obool)), _u5791), _u5792)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5790, tc_fun(_u5788, tc_HOL_Obool)), _u5791), hAPP(hAPP(c_COMBB(tc_fun(_u5788, tc_HOL_Obool), tc_fun(_u5788, tc_HOL_Obool), _u5790), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5788, tc_HOL_Obool)), _u5789)), _u5792))) )).
% 12.21/12.45 cnf(matrix-2788, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5793, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5793, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5793, tc_HOL_Obool), _u5794)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5793, tc_HOL_Obool), _u5795))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u5793, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u5793, tc_HOL_Obool), tc_HOL_Obool)), _u5794), _u5795)))) )).
% 12.21/12.45 cnf(matrix-2789, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5796, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5797, tc_fun(_u5796, tc_HOL_Obool)), _u5798), _u5799)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5797, tc_fun(_u5796, tc_HOL_Obool)), _u5798), hAPP(hAPP(c_COMBB(tc_fun(_u5796, tc_HOL_Obool), tc_fun(_u5796, tc_HOL_Obool), _u5797), c_Groups_Ouminus__class_Ouminus(tc_fun(_u5796, tc_HOL_Obool))), _u5799))) )).
% 12.21/12.45 cnf(matrix-2790, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5800, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5801, tc_fun(_u5800, tc_HOL_Obool)), _u5802), _u5803)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5801, tc_fun(_u5800, tc_HOL_Obool)), _u5802), hAPP(hAPP(c_COMBB(tc_fun(_u5800, tc_HOL_Obool), tc_fun(_u5800, tc_HOL_Obool), _u5801), c_Groups_Ouminus__class_Ouminus(tc_fun(_u5800, tc_HOL_Obool))), _u5803))) )).
% 12.21/12.45 cnf(matrix-2791, plain, ( ~class_Lattices_Olattice(_u5804) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5804, hAPP(hAPP(c_Set_Oinsert(_u5804), _u5805), c_Orderings_Obot__class_Obot(tc_fun(_u5804, tc_HOL_Obool)))) = _u5805) )).
% 12.21/12.45 cnf(matrix-2792, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5806) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5806))) )).
% 12.21/12.45 cnf(matrix-2793, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5807) | ~hBOOL(hAPP(hAPP(c_member(_u5807), _u5808), _u5809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5807), c_Complete__Lattice_OInf__class_OInf(_u5807, _u5809)), _u5808)) )).
% 12.21/12.45 cnf(matrix-2794, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5811, tc_HOL_Obool)), _u5812), _u5813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5810), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5811, _u5810), _u5813), _u5814)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5811, _u5810), _u5812), _u5814))) )).
% 12.21/12.45 cnf(matrix-2795, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5815) | ( c_Complete__Lattice_OInf__class_OInf(_u5815, hAPP(hAPP(c_Set_Oinsert(_u5815), _u5816), c_Orderings_Obot__class_Obot(tc_fun(_u5815, tc_HOL_Obool)))) = _u5816) )).
% 12.21/12.45 cnf(matrix-2796, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5817) | ( c_Complete__Lattice_OInf__class_OInf(_u5817, c_Orderings_Obot__class_Obot(tc_fun(_u5817, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u5817)) )).
% 12.21/12.45 cnf(matrix-2797, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5818) | ( c_Complete__Lattice_OInf__class_OInf(_u5818, c_Orderings_Otop__class_Otop(tc_fun(_u5818, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u5818)) )).
% 12.21/12.45 cnf(matrix-2798, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5819) | ( c_Complete__Lattice_OInf__class_OInf(_u5819, hAPP(hAPP(c_Set_Oinsert(_u5819), _u5820), _u5821)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5819), _u5820), c_Complete__Lattice_OInf__class_OInf(_u5819, _u5821))) )).
% 12.21/12.45 cnf(matrix-2799, plain, ( ( _u5827 != c_Orderings_Obot__class_Obot(tc_fun(_u5829, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5829, tc_fun(_u5831, tc_HOL_Obool)), _u5827), hAPP(hAPP(c_COMBC(_u5829, tc_fun(_u5831, tc_HOL_Obool), tc_fun(_u5831, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5831, tc_HOL_Obool), tc_fun(tc_fun(_u5831, tc_HOL_Obool), tc_fun(_u5831, tc_HOL_Obool)), _u5829), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5831, tc_HOL_Obool))), _u5833)), _u5835)) = c_Orderings_Otop__class_Otop(tc_fun(_u5831, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2800, plain, ( ( _u5828 = c_Orderings_Obot__class_Obot(tc_fun(_u5830, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5830, tc_fun(_u5832, tc_HOL_Obool)), _u5828), hAPP(hAPP(c_COMBC(_u5830, tc_fun(_u5832, tc_HOL_Obool), tc_fun(_u5832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5832, tc_HOL_Obool), tc_fun(tc_fun(_u5832, tc_HOL_Obool), tc_fun(_u5832, tc_HOL_Obool)), _u5830), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5832, tc_HOL_Obool))), _u5834)), _u5836)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5832, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5830, tc_fun(_u5832, tc_HOL_Obool)), _u5828), _u5834)), _u5836)) )).
% 12.21/12.45 cnf(matrix-2801, plain, ( ( _u5842 != c_Orderings_Obot__class_Obot(tc_fun(_u5844, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5844, tc_fun(_u5846, tc_HOL_Obool)), _u5842), hAPP(hAPP(c_COMBB(tc_fun(_u5846, tc_HOL_Obool), tc_fun(_u5846, tc_HOL_Obool), _u5844), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5846, tc_HOL_Obool)), _u5848)), _u5850)) = c_Orderings_Otop__class_Otop(tc_fun(_u5846, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2802, plain, ( ( _u5843 = c_Orderings_Obot__class_Obot(tc_fun(_u5845, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5845, tc_fun(_u5847, tc_HOL_Obool)), _u5843), hAPP(hAPP(c_COMBB(tc_fun(_u5847, tc_HOL_Obool), tc_fun(_u5847, tc_HOL_Obool), _u5845), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5847, tc_HOL_Obool)), _u5849)), _u5851)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5847, tc_HOL_Obool)), _u5849), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5845, tc_fun(_u5847, tc_HOL_Obool)), _u5843), _u5851))) )).
% 12.21/12.45 cnf(matrix-2803, plain, ( ~class_Rings_Olinordered__semidom(_u5852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5852), c_Groups_Oone__class_Oone(_u5852)), _u5853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5852), c_Groups_Oone__class_Oone(_u5852)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5852), _u5853), hAPP(c_Nat_OSuc, _u5854)))) )).
% 12.21/12.45 cnf(matrix-2804, plain, ( ( _u5860 != c_Orderings_Obot__class_Obot(tc_fun(_u5862, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5864, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5862, tc_fun(_u5864, tc_HOL_Obool)), _u5860), _u5866)), _u5868) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5864, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5864, tc_HOL_Obool))), _u5868)) )).
% 12.21/12.45 cnf(matrix-2805, plain, ( ( _u5861 = c_Orderings_Obot__class_Obot(tc_fun(_u5863, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5865, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5863, tc_fun(_u5865, tc_HOL_Obool)), _u5861), _u5867)), _u5869) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5863, tc_fun(_u5865, tc_HOL_Obool)), _u5861), hAPP(hAPP(c_COMBC(_u5863, tc_fun(_u5865, tc_HOL_Obool), tc_fun(_u5865, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5865, tc_HOL_Obool), tc_fun(tc_fun(_u5865, tc_HOL_Obool), tc_fun(_u5865, tc_HOL_Obool)), _u5863), c_Groups_Ominus__class_Ominus(tc_fun(_u5865, tc_HOL_Obool))), _u5867)), _u5869))) )).
% 12.21/12.45 cnf(matrix-2806, plain, ( ( _u5875 != c_Orderings_Obot__class_Obot(tc_fun(_u5877, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5877, tc_fun(_u5879, tc_HOL_Obool)), _u5875), hAPP(hAPP(c_COMBC(_u5877, tc_fun(_u5879, tc_HOL_Obool), tc_fun(_u5879, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5879, tc_HOL_Obool), tc_fun(tc_fun(_u5879, tc_HOL_Obool), tc_fun(_u5879, tc_HOL_Obool)), _u5877), c_Groups_Ominus__class_Ominus(tc_fun(_u5879, tc_HOL_Obool))), _u5881)), _u5883)) = c_Orderings_Otop__class_Otop(tc_fun(_u5879, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2807, plain, ( ( _u5876 = c_Orderings_Obot__class_Obot(tc_fun(_u5878, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5878, tc_fun(_u5880, tc_HOL_Obool)), _u5876), hAPP(hAPP(c_COMBC(_u5878, tc_fun(_u5880, tc_HOL_Obool), tc_fun(_u5880, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5880, tc_HOL_Obool), tc_fun(tc_fun(_u5880, tc_HOL_Obool), tc_fun(_u5880, tc_HOL_Obool)), _u5878), c_Groups_Ominus__class_Ominus(tc_fun(_u5880, tc_HOL_Obool))), _u5882)), _u5884)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5880, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5878, tc_fun(_u5880, tc_HOL_Obool)), _u5876), _u5882)), _u5884)) )).
% 12.21/12.45 cnf(matrix-2808, plain, ( ( _u5890 != c_Orderings_Obot__class_Obot(tc_fun(_u5892, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5894, tc_HOL_Obool)), _u5896), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5892, tc_fun(_u5894, tc_HOL_Obool)), _u5890), _u5898)) = _u5896) )).
% 12.21/12.45 cnf(matrix-2809, plain, ( ( _u5891 = c_Orderings_Obot__class_Obot(tc_fun(_u5893, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5895, tc_HOL_Obool)), _u5897), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5893, tc_fun(_u5895, tc_HOL_Obool)), _u5891), _u5899)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5893, tc_fun(_u5895, tc_HOL_Obool)), _u5891), hAPP(hAPP(c_COMBB(tc_fun(_u5895, tc_HOL_Obool), tc_fun(_u5895, tc_HOL_Obool), _u5893), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5895, tc_HOL_Obool)), _u5897)), _u5899))) )).
% 12.21/12.45 cnf(matrix-2810, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5900), _u5901)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5902), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5901), _u5900))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5902), _u5900)), hAPP(c_Nat_OSuc, _u5901))) )).
% 12.21/12.45 cnf(matrix-2811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5903), _u5904)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5904), _u5903))), _u5905) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5904)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5903), _u5905))) )).
% 12.21/12.45 cnf(matrix-2812, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5906) | ~hBOOL(hAPP(hAPP(c_member(_u5907), _u5908), _u5909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5906), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5907, _u5906), _u5909), _u5910)), hAPP(_u5910, _u5908))) )).
% 12.21/12.45 cnf(matrix-2813, plain, ( ~class_Lattices_Olattice(_u5911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5911), _u5912)) | ~hBOOL(hAPP(hAPP(c_member(_u5911), _u5913), _u5912)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5911), _u5913), c_Big__Operators_Olattice__class_OInf__fin(_u5911, _u5912)) = _u5913) )).
% 12.21/12.45 cnf(matrix-2814, plain, ( ~class_Lattices_Olattice(_u5914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5914), _u5915)) | ~hBOOL(hAPP(hAPP(c_member(_u5914), _u5916), _u5915)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5914), _u5916), c_Big__Operators_Olattice__class_OInf__fin(_u5914, _u5915)) = c_Big__Operators_Olattice__class_OInf__fin(_u5914, _u5915)) )).
% 12.21/12.45 cnf(matrix-2815, plain, ( ~class_Lattices_Olattice(_u5917) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5917), _u5918)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5917, _u5918) = hAPP(c_Finite__Set_Ofold1(_u5917, c_Lattices_Osemilattice__inf__class_Oinf(_u5917)), _u5918)) )).
% 12.21/12.45 cnf(matrix-2816, plain, ( ( _u5924 != c_Orderings_Obot__class_Obot(tc_fun(_u5926, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5926, tc_fun(_u5928, tc_HOL_Obool)), _u5924), hAPP(hAPP(c_COMBB(tc_fun(_u5928, tc_HOL_Obool), tc_fun(_u5928, tc_HOL_Obool), _u5926), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5928, tc_HOL_Obool)), _u5930)), _u5932)) = c_Orderings_Otop__class_Otop(tc_fun(_u5928, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-2817, plain, ( ( _u5925 = c_Orderings_Obot__class_Obot(tc_fun(_u5927, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5927, tc_fun(_u5929, tc_HOL_Obool)), _u5925), hAPP(hAPP(c_COMBB(tc_fun(_u5929, tc_HOL_Obool), tc_fun(_u5929, tc_HOL_Obool), _u5927), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5929, tc_HOL_Obool)), _u5931)), _u5933)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5929, tc_HOL_Obool)), _u5931), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5927, tc_fun(_u5929, tc_HOL_Obool)), _u5925), _u5933))) )).
% 12.21/12.45 cnf(matrix-2818, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5934), _u5935)) | ~hBOOL(hAPP(hAPP(c_member(_u5934), _u5936), _u5935)) | ( hAPP(c_Finite__Set_Ocard(_u5934), hAPP(hAPP(c_Set_Oinsert(_u5934), _u5936), _u5935)) = hAPP(c_Finite__Set_Ocard(_u5934), _u5935)) )).
% 12.21/12.45 cnf(matrix-2819, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5934), _u5935)) | hBOOL(hAPP(hAPP(c_member(_u5934), _u5936), _u5935)) | ( hAPP(c_Finite__Set_Ocard(_u5934), hAPP(hAPP(c_Set_Oinsert(_u5934), _u5936), _u5935)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5934), _u5935))) )).
% 12.21/12.45 cnf(matrix-2820, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5937), _u5938)) | hBOOL(hAPP(hAPP(c_member(_u5937), _u5939), _u5938)) | ( hAPP(c_Finite__Set_Ocard(_u5937), hAPP(hAPP(c_Set_Oinsert(_u5937), _u5939), _u5938)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5937), _u5938))) )).
% 12.21/12.45 cnf(matrix-2821, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5940) | ( c_Complete__Lattice_OInf__class_OInf(_u5940, hAPP(hAPP(c_Set_Oinsert(_u5940), _u5941), hAPP(hAPP(c_Set_Oinsert(_u5940), _u5942), c_Orderings_Obot__class_Obot(tc_fun(_u5940, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5940), _u5941), _u5942)) )).
% 12.21/12.45 cnf(matrix-2822, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5943) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5943), _u5944)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5943), _u5945), c_Complete__Lattice_OInf__class_OInf(_u5943, _u5944)) = hAPP(hAPP(c_Finite__Set_Ofold(_u5943, _u5943, c_Lattices_Osemilattice__inf__class_Oinf(_u5943)), _u5945), _u5944)) )).
% 12.21/12.45 cnf(matrix-2823, plain, ( ~class_Lattices_Olattice(_u5946) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5946), _u5947)) | ( _u5947 = c_Orderings_Obot__class_Obot(tc_fun(_u5946, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5946, hAPP(hAPP(c_Set_Oinsert(_u5946), _u5948), _u5947)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5946), _u5948), c_Big__Operators_Olattice__class_OInf__fin(_u5946, _u5947))) )).
% 12.21/12.45 cnf(matrix-2824, plain, ( ~class_Lattices_Olattice(_u5949) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5949), _u5950)) | ( _u5951 = c_Orderings_Obot__class_Obot(tc_fun(_u5949, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5949, tc_HOL_Obool)), _u5951), _u5950)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5949), c_Big__Operators_Olattice__class_OInf__fin(_u5949, _u5951)), c_Big__Operators_Olattice__class_OInf__fin(_u5949, _u5950)) = c_Big__Operators_Olattice__class_OInf__fin(_u5949, _u5950)) )).
% 12.21/12.45 cnf(matrix-2825, plain, ( ~class_Lattices_Olattice(_u5952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5952), _u5953)) | ( _u5953 = c_Orderings_Obot__class_Obot(tc_fun(_u5952, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5952), _u5954)) | ( _u5954 = c_Orderings_Obot__class_Obot(tc_fun(_u5952, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5952, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5952, tc_HOL_Obool)), _u5953), _u5954)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5952), c_Big__Operators_Olattice__class_OInf__fin(_u5952, _u5953)), c_Big__Operators_Olattice__class_OInf__fin(_u5952, _u5954))) )).
% 12.21/12.45 cnf(matrix-2826, plain, ( ~class_Lattices_Olattice(_u5955) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5955), _u5956)) | ( _u5956 = c_Orderings_Obot__class_Obot(tc_fun(_u5955, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5955), c_Big__Operators_Olattice__class_OInf__fin(_u5955, _u5956)), c_Big__Operators_Olattice__class_OSup__fin(_u5955, _u5956))) )).
% 12.21/12.45 cnf(matrix-2827, plain, ( ~class_Lattices_Olattice(_u5957) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5957), _u5958)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5957, hAPP(hAPP(c_Set_Oinsert(_u5957), _u5959), _u5958)) = hAPP(hAPP(c_Finite__Set_Ofold(_u5957, _u5957, c_Lattices_Osemilattice__inf__class_Oinf(_u5957)), _u5959), _u5958)) )).
% 12.21/12.45 cnf(matrix-2828, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u5960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5961), _u5962)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5960), _u5963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u5961, _u5960), _u5962), _u5964)) = hAPP(hAPP(c_Finite__Set_Ofold(_u5961, _u5960, hAPP(hAPP(c_COMBB(_u5960, tc_fun(_u5960, _u5960), _u5961), c_Lattices_Osemilattice__inf__class_Oinf(_u5960)), _u5964)), _u5963), _u5962)) )).
% 12.21/12.45 cnf(matrix-2829, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5965), _u5966)) | ( hAPP(c_Finite__Set_Ocard(_u5965), hAPP(hAPP(c_Set_Oinsert(_u5965), _u5967), _u5966)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5965), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5965, tc_HOL_Obool)), _u5966), hAPP(hAPP(c_Set_Oinsert(_u5965), _u5967), c_Orderings_Obot__class_Obot(tc_fun(_u5965, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-2830, plain, ( ~class_Lattices_Olattice(_u5968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5968), _u5969)) | hBOOL(hAPP(hAPP(c_member(_u5968), _u5970), _u5969)) | ( _u5969 = c_Orderings_Obot__class_Obot(tc_fun(_u5968, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5968, hAPP(hAPP(c_Set_Oinsert(_u5968), _u5970), _u5969)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5968), _u5970), c_Big__Operators_Olattice__class_OInf__fin(_u5968, _u5969))) )).
% 12.21/12.45 cnf(matrix-2831, plain, ( ~class_Lattices_Olattice(_u5971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5971), _u5972)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5971, tc_HOL_Obool)), _u5972), hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5971, hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), _u5972)) = _u5973) )).
% 12.21/12.45 cnf(matrix-2832, plain, ( ~class_Lattices_Olattice(_u5971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5971), _u5972)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5971, tc_HOL_Obool)), _u5972), hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5971, hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), _u5972)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5971), _u5973), c_Big__Operators_Olattice__class_OInf__fin(_u5971, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5971, tc_HOL_Obool)), _u5972), hAPP(hAPP(c_Set_Oinsert(_u5971), _u5973), c_Orderings_Obot__class_Obot(tc_fun(_u5971, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-2833, plain, ( ~class_Lattices_Olattice(_u5974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5974), _u5975)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5974), _u5976)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976) = c_Orderings_Obot__class_Obot(tc_fun(_u5974, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5974), c_Big__Operators_Olattice__class_OInf__fin(_u5974, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976))), c_Big__Operators_Olattice__class_OInf__fin(_u5974, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5974), c_Big__Operators_Olattice__class_OInf__fin(_u5974, _u5975)), c_Big__Operators_Olattice__class_OInf__fin(_u5974, _u5976))) )).
% 12.21/12.45 cnf(matrix-2834, plain, ( ~class_Lattices_Olattice(_u5977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5977), _u5978)) | ( _u5978 = c_Orderings_Obot__class_Obot(tc_fun(_u5977, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5977), _u5979)) | ( _u5979 = c_Orderings_Obot__class_Obot(tc_fun(_u5977, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5977, tc_HOL_Obool)), _u5978), _u5979) != c_Orderings_Obot__class_Obot(tc_fun(_u5977, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5977, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5977, tc_HOL_Obool)), _u5978), _u5979)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5977), c_Big__Operators_Olattice__class_OInf__fin(_u5977, _u5978)), c_Big__Operators_Olattice__class_OInf__fin(_u5977, _u5979))) )).
% 12.21/12.45 cnf(matrix-2835, plain, ( ~class_Lattices_Olattice(_u5980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5980), _u5981)) | hBOOL(hAPP(hAPP(c_member(_u5980), _u5982), _u5981)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5980, hAPP(hAPP(c_Set_Oinsert(_u5980), _u5982), _u5981)) = hAPP(hAPP(c_Finite__Set_Ofold(_u5980, _u5980, c_Lattices_Osemilattice__inf__class_Oinf(_u5980)), _u5982), _u5981)) )).
% 12.21/12.45 cnf(matrix-2836, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5983), hAPP(c_Nat_OSuc, _u5984)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5983), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u5984)) )).
% 12.21/12.45 cnf(matrix-2837, plain, ( ( hAPP(c_Nat_OSuc, _u5985) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5985)) )).
% 12.21/12.45 cnf(matrix-2838, plain, ( ( hAPP(c_Nat_OSuc, _u5986) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5986), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2839, plain, ( ~class_Lattices_Olattice(_u5989) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5989), _u5990)) | ( _u5990 = c_Orderings_Obot__class_Obot(tc_fun(_u5989, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5989), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5989), skolem115(_u5990, _u5989)), skolem116(_u5990, _u5989))), hAPP(hAPP(c_Set_Oinsert(_u5989), skolem115(_u5990, _u5989)), hAPP(hAPP(c_Set_Oinsert(_u5989), skolem116(_u5990, _u5989)), c_Orderings_Obot__class_Obot(tc_fun(_u5989, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u5989), c_Big__Operators_Olattice__class_OInf__fin(_u5989, _u5990)), _u5990)) )).
% 12.21/12.45 cnf(matrix-2840, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5991, _u5992)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5991, _u5992), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u5992), c_Orderings_Otop__class_Otop(tc_fun(_u5992, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5991), c_Orderings_Otop__class_Otop(tc_fun(_u5991, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-2841, plain, ( ~class_Lattices_Olattice(_u5995) | ( hAPP(_u5996, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5995), skolem117(_u5997, _u5996, _u5995)), skolem118(_u5997, _u5996, _u5995))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5995), hAPP(_u5996, skolem117(_u5997, _u5996, _u5995))), hAPP(_u5996, skolem118(_u5997, _u5996, _u5995)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5995), _u5997)) | ( _u5997 = c_Orderings_Obot__class_Obot(tc_fun(_u5995, tc_HOL_Obool))) | ( hAPP(_u5996, c_Big__Operators_Olattice__class_OInf__fin(_u5995, _u5997)) = c_Big__Operators_Olattice__class_OInf__fin(_u5995, hAPP(c_Set_Oimage(_u5995, _u5995, _u5996), _u5997))) )).
% 12.21/12.45 cnf(matrix-2842, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5998), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2843, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5999)) )).
% 12.21/12.45 cnf(matrix-2844, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u6000))) )).
% 12.21/12.45 cnf(matrix-2845, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u6001, tc_HOL_Obool), _u6002) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u6001, tc_HOL_Obool), tc_fun(_u6001, tc_HOL_Obool)), _u6002), c_COMBI(tc_fun(_u6001, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-2846, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6003, tc_fun(_u6004, tc_HOL_Obool)), _u6005), _u6006) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u6004, tc_HOL_Obool), hAPP(c_Set_Oimage(_u6003, tc_fun(_u6004, tc_HOL_Obool), _u6006), _u6005))) )).
% 12.21/12.45 cnf(matrix-2847, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u6007, tc_HOL_Obool), hAPP(c_Set_Oimage(_u6008, tc_fun(_u6007, tc_HOL_Obool), _u6009), _u6010)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6008, tc_fun(_u6007, tc_HOL_Obool)), _u6010), _u6009)) )).
% 12.21/12.45 cnf(matrix-2848, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6020, tc_fun(_u6022, tc_fun(_u6024, tc_HOL_Obool))), _u6026), _u6028), _u6030), _u6032)) | ~hBOOL(hAPP(hAPP(c_member(_u6020), _u6011), _u6026)) | hBOOL(hAPP(hAPP(hAPP(_u6028, _u6011), _u6030), _u6032)) )).
% 12.21/12.45 cnf(matrix-2849, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6021, tc_fun(_u6023, tc_fun(_u6025, tc_HOL_Obool))), _u6027), _u6029), _u6031), _u6033)) | hBOOL(hAPP(hAPP(c_member(_u6021), skolem119(_u6033, _u6031, _u6029, _u6027, _u6025, _u6023, _u6021)), _u6027)) )).
% 12.21/12.45 cnf(matrix-2850, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6021, tc_fun(_u6023, tc_fun(_u6025, tc_HOL_Obool))), _u6027), _u6029), _u6031), _u6033)) | ~hBOOL(hAPP(hAPP(hAPP(_u6029, skolem119(_u6033, _u6031, _u6029, _u6027, _u6025, _u6023, _u6021)), _u6031), _u6033)) )).
% 12.21/12.45 cnf(matrix-2851, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6041, tc_fun(_u6043, tc_HOL_Obool)), _u6045), _u6047), _u6049)) | ~hBOOL(hAPP(hAPP(c_member(_u6041), _u6034), _u6045)) | hBOOL(hAPP(hAPP(_u6047, _u6034), _u6049)) )).
% 12.21/12.45 cnf(matrix-2852, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6042, tc_fun(_u6044, tc_HOL_Obool)), _u6046), _u6048), _u6050)) | hBOOL(hAPP(hAPP(c_member(_u6042), skolem120(_u6050, _u6048, _u6046, _u6044, _u6042)), _u6046)) )).
% 12.21/12.45 cnf(matrix-2853, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u6042, tc_fun(_u6044, tc_HOL_Obool)), _u6046), _u6048), _u6050)) | ~hBOOL(hAPP(hAPP(_u6048, skolem120(_u6050, _u6048, _u6046, _u6044, _u6042)), _u6050)) )).
% 12.21/12.45 cnf(matrix-2854, plain, ( ~class_Groups_Ozero(_u6051) | ( c_Groups_Ozero__class_Ozero(_u6051) != _u6052) | ( _u6052 = c_Groups_Ozero__class_Ozero(_u6051)) )).
% 12.21/12.45 cnf(matrix-2855, plain, ( ~class_Groups_Ozero(_u6051) | ( _u6052 != c_Groups_Ozero__class_Ozero(_u6051)) | ( c_Groups_Ozero__class_Ozero(_u6051) = _u6052) )).
% 12.21/12.45 cnf(matrix-2856, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2857, plain, ( ~class_Power_Opower(_u6053) | ~class_Rings_Omult__zero(_u6053) | ~class_Rings_Ono__zero__divisors(_u6053) | ~class_Rings_Ozero__neq__one(_u6053) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6053), _u6054), _u6055) != c_Groups_Ozero__class_Ozero(_u6053)) | ( _u6054 = c_Groups_Ozero__class_Ozero(_u6053)) )).
% 12.21/12.45 cnf(matrix-2858, plain, ( ~class_Power_Opower(_u6053) | ~class_Rings_Omult__zero(_u6053) | ~class_Rings_Ono__zero__divisors(_u6053) | ~class_Rings_Ozero__neq__one(_u6053) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6053), _u6054), _u6055) != c_Groups_Ozero__class_Ozero(_u6053)) | ( _u6055 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2859, plain, ( ~class_Power_Opower(_u6053) | ~class_Rings_Omult__zero(_u6053) | ~class_Rings_Ono__zero__divisors(_u6053) | ~class_Rings_Ozero__neq__one(_u6053) | ( _u6054 != c_Groups_Ozero__class_Ozero(_u6053)) | ( _u6055 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6053), _u6054), _u6055) = c_Groups_Ozero__class_Ozero(_u6053)) )).
% 12.21/12.45 cnf(matrix-2860, plain, ( ~class_Power_Opower(_u6056) | ~class_Rings_Osemiring__0(_u6056) | ( _u6057 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6056), c_Groups_Ozero__class_Ozero(_u6056)), _u6057) = c_Groups_Oone__class_Oone(_u6056)) )).
% 12.21/12.45 cnf(matrix-2861, plain, ( ~class_Power_Opower(_u6056) | ~class_Rings_Osemiring__0(_u6056) | ( _u6057 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6056), c_Groups_Ozero__class_Ozero(_u6056)), _u6057) = c_Groups_Ozero__class_Ozero(_u6056)) )).
% 12.21/12.45 cnf(matrix-2862, plain, ( ~class_Groups_Omonoid__add(_u6058) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6058), c_Groups_Ozero__class_Ozero(_u6058)), _u6059) = _u6059) )).
% 12.21/12.45 cnf(matrix-2863, plain, ( ~class_Groups_Ocomm__monoid__add(_u6060) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6060), c_Groups_Ozero__class_Ozero(_u6060)), _u6061) = _u6061) )).
% 12.21/12.45 cnf(matrix-2864, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6062) | ( c_Groups_Ozero__class_Ozero(_u6062) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6062), _u6063), _u6063)) | ( _u6063 = c_Groups_Ozero__class_Ozero(_u6062)) )).
% 12.21/12.45 cnf(matrix-2865, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6062) | ( _u6063 != c_Groups_Ozero__class_Ozero(_u6062)) | ( c_Groups_Ozero__class_Ozero(_u6062) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6062), _u6063), _u6063)) )).
% 12.21/12.45 cnf(matrix-2866, plain, ( ~class_Groups_Omonoid__add(_u6064) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6064), _u6065), c_Groups_Ozero__class_Ozero(_u6064)) = _u6065) )).
% 12.21/12.45 cnf(matrix-2867, plain, ( ~class_Groups_Ocomm__monoid__add(_u6066) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6066), _u6067), c_Groups_Ozero__class_Ozero(_u6066)) = _u6067) )).
% 12.21/12.45 cnf(matrix-2868, plain, ( ~class_Rings_Ocomm__semiring__1(_u6068) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6068), c_Groups_Ozero__class_Ozero(_u6068)), _u6069) = _u6069) )).
% 12.21/12.45 cnf(matrix-2869, plain, ( ~class_Rings_Ocomm__semiring__1(_u6070) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6070), _u6071), c_Groups_Ozero__class_Ozero(_u6070)) = _u6071) )).
% 12.21/12.45 cnf(matrix-2870, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6072) | ( _u6073 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6072), _u6073), _u6074)) | ( _u6074 = c_Groups_Ozero__class_Ozero(_u6072)) )).
% 12.21/12.45 cnf(matrix-2871, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6072) | ( _u6074 != c_Groups_Ozero__class_Ozero(_u6072)) | ( _u6073 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6072), _u6073), _u6074)) )).
% 12.21/12.45 cnf(matrix-2872, plain, ( ~class_Rings_Omult__zero(_u6075) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6075), c_Groups_Ozero__class_Ozero(_u6075)), _u6076) = c_Groups_Ozero__class_Ozero(_u6075)) )).
% 12.21/12.45 cnf(matrix-2873, plain, ( ~class_Rings_Ocomm__semiring__1(_u6077) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6077), c_Groups_Ozero__class_Ozero(_u6077)), _u6078) = c_Groups_Ozero__class_Ozero(_u6077)) )).
% 12.21/12.45 cnf(matrix-2874, plain, ( ~class_Rings_Omult__zero(_u6079) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6079), _u6080), c_Groups_Ozero__class_Ozero(_u6079)) = c_Groups_Ozero__class_Ozero(_u6079)) )).
% 12.21/12.45 cnf(matrix-2875, plain, ( ~class_Rings_Ocomm__semiring__1(_u6081) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6081), _u6082), c_Groups_Ozero__class_Ozero(_u6081)) = c_Groups_Ozero__class_Ozero(_u6081)) )).
% 12.21/12.45 cnf(matrix-2876, plain, ( ~class_Rings_Oring__no__zero__divisors(_u6083) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6083), _u6084), _u6085) != c_Groups_Ozero__class_Ozero(_u6083)) | ( _u6084 = c_Groups_Ozero__class_Ozero(_u6083)) | ( _u6085 = c_Groups_Ozero__class_Ozero(_u6083)) )).
% 12.21/12.45 cnf(matrix-2877, plain, ( ~class_Rings_Oring__no__zero__divisors(_u6083) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6083), _u6084), _u6085) = c_Groups_Ozero__class_Ozero(_u6083)) | ( _u6084 != c_Groups_Ozero__class_Ozero(_u6083)) )).
% 12.21/12.45 cnf(matrix-2878, plain, ( ~class_Rings_Oring__no__zero__divisors(_u6083) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6083), _u6084), _u6085) = c_Groups_Ozero__class_Ozero(_u6083)) | ( _u6085 != c_Groups_Ozero__class_Ozero(_u6083)) )).
% 12.21/12.45 cnf(matrix-2879, plain, ( ~class_Rings_Ono__zero__divisors(_u6086) | ( _u6087 = c_Groups_Ozero__class_Ozero(_u6086)) | ( _u6088 = c_Groups_Ozero__class_Ozero(_u6086)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6086), _u6087), _u6088) != c_Groups_Ozero__class_Ozero(_u6086)) )).
% 12.21/12.45 cnf(matrix-2880, plain, ( ~class_Rings_Ono__zero__divisors(_u6089) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6089), _u6090), _u6091) != c_Groups_Ozero__class_Ozero(_u6089)) | ( _u6090 = c_Groups_Ozero__class_Ozero(_u6089)) | ( _u6091 = c_Groups_Ozero__class_Ozero(_u6089)) )).
% 12.21/12.45 cnf(matrix-2881, plain, ( ~class_Groups_Ogroup__add(_u6092) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6092), _u6093), c_Groups_Ozero__class_Ozero(_u6092)) = _u6093) )).
% 12.21/12.45 cnf(matrix-2882, plain, ( ~class_Groups_Ogroup__add(_u6094) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6094), _u6095), _u6095) = c_Groups_Ozero__class_Ozero(_u6094)) )).
% 12.21/12.45 cnf(matrix-2883, plain, ( ~class_Groups_Oab__group__add(_u6096) | ( _u6097 != _u6098) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6096), _u6097), _u6098) = c_Groups_Ozero__class_Ozero(_u6096)) )).
% 12.21/12.45 cnf(matrix-2884, plain, ( ~class_Groups_Oab__group__add(_u6096) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6096), _u6097), _u6098) != c_Groups_Ozero__class_Ozero(_u6096)) | ( _u6097 = _u6098) )).
% 12.21/12.45 cnf(matrix-2885, plain, ( ~class_Groups_Ogroup__add(_u6099) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6099), _u6100), _u6101) != c_Groups_Ozero__class_Ozero(_u6099)) | ( _u6100 = _u6101) )).
% 12.21/12.45 cnf(matrix-2886, plain, ( ~class_Groups_Ogroup__add(_u6099) | ( _u6100 != _u6101) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6099), _u6100), _u6101) = c_Groups_Ozero__class_Ozero(_u6099)) )).
% 12.21/12.45 cnf(matrix-2887, plain, ( ~class_Rings_Ozero__neq__one(_u6102) | ( c_Groups_Ozero__class_Ozero(_u6102) != c_Groups_Oone__class_Oone(_u6102)) )).
% 12.21/12.45 cnf(matrix-2888, plain, ( ~class_Rings_Ozero__neq__one(_u6103) | ( c_Groups_Oone__class_Oone(_u6103) != c_Groups_Ozero__class_Ozero(_u6103)) )).
% 12.21/12.45 cnf(matrix-2889, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6104) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6104), _u6105) != _u6105) | ( _u6105 = c_Groups_Ozero__class_Ozero(_u6104)) )).
% 12.21/12.45 cnf(matrix-2890, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6104) | ( _u6105 != c_Groups_Ozero__class_Ozero(_u6104)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6104), _u6105) = _u6105) )).
% 12.21/12.45 cnf(matrix-2891, plain, ( ~class_Groups_Ogroup__add(_u6106) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6106), _u6107) != c_Groups_Ozero__class_Ozero(_u6106)) | ( _u6107 = c_Groups_Ozero__class_Ozero(_u6106)) )).
% 12.21/12.45 cnf(matrix-2892, plain, ( ~class_Groups_Ogroup__add(_u6106) | ( _u6107 != c_Groups_Ozero__class_Ozero(_u6106)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6106), _u6107) = c_Groups_Ozero__class_Ozero(_u6106)) )).
% 12.21/12.45 cnf(matrix-2893, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6108) | ( _u6109 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6108), _u6109)) | ( _u6109 = c_Groups_Ozero__class_Ozero(_u6108)) )).
% 12.21/12.45 cnf(matrix-2894, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6108) | ( _u6109 != c_Groups_Ozero__class_Ozero(_u6108)) | ( _u6109 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6108), _u6109)) )).
% 12.21/12.45 cnf(matrix-2895, plain, ( ~class_Groups_Ogroup__add(_u6110) | ( c_Groups_Ozero__class_Ozero(_u6110) != hAPP(c_Groups_Ouminus__class_Ouminus(_u6110), _u6111)) | ( c_Groups_Ozero__class_Ozero(_u6110) = _u6111) )).
% 12.21/12.45 cnf(matrix-2896, plain, ( ~class_Groups_Ogroup__add(_u6110) | ( c_Groups_Ozero__class_Ozero(_u6110) != _u6111) | ( c_Groups_Ozero__class_Ozero(_u6110) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6110), _u6111)) )).
% 12.21/12.45 cnf(matrix-2897, plain, ( ~class_Groups_Ogroup__add(_u6112) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6112), c_Groups_Ozero__class_Ozero(_u6112)) = c_Groups_Ozero__class_Ozero(_u6112)) )).
% 12.21/12.45 cnf(matrix-2898, plain, ( ( hAPP(c_Nat_OSuc, _u6113) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2899, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6114)) )).
% 12.21/12.45 cnf(matrix-2900, plain, ( ( hAPP(c_Nat_OSuc, _u6115) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2901, plain, ( ( hAPP(c_Nat_OSuc, _u6116) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2902, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6117)) )).
% 12.21/12.45 cnf(matrix-2903, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6118)) )).
% 12.21/12.45 cnf(matrix-2904, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6119) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2905, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6122), _u6124) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6124 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6122 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2906, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6123), _u6125) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6125 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2907, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6123), _u6125) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6123 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2908, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6126) | ( _u6127 = c_Groups_Ozero__class_Ozero(_u6126)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6126), _u6127), _u6128) != c_Groups_Ozero__class_Ozero(_u6126)) )).
% 12.21/12.45 cnf(matrix-2909, 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), _u6131), _u6133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6131)) | ( _u6133 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2910, 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), _u6132), _u6134))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6132)) )).
% 12.21/12.45 cnf(matrix-2911, 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), _u6132), _u6134))) | ( _u6134 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2912, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6135), _u6136)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6135), _u6137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6136), _u6137)) )).
% 12.21/12.45 cnf(matrix-2913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6138), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2914, plain, ( ( _u6140 = 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)), _u6140)) )).
% 12.21/12.45 cnf(matrix-2915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6141)) | ( _u6141 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2916, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6142), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2917, plain, ( ( _u6144 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6143), _u6144)) )).
% 12.21/12.45 cnf(matrix-2918, plain, ( ( _u6145 = 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)), _u6145)) )).
% 12.21/12.45 cnf(matrix-2919, plain, ( ( _u6147 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6146), _u6147) != _u6146) )).
% 12.21/12.45 cnf(matrix-2920, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6150), _u6152) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6150 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2921, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6150), _u6152) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6152 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2922, plain, ( ( _u6151 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6153 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6151), _u6153) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2923, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6154), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6154) )).
% 12.21/12.45 cnf(matrix-2924, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6155) = _u6155) )).
% 12.21/12.45 cnf(matrix-2925, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6156)) )).
% 12.21/12.45 cnf(matrix-2926, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6158), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6158 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2927, plain, ( ( _u6159 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6159), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2928, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6160) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2929, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6161), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6161) )).
% 12.21/12.45 cnf(matrix-2930, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6162), _u6162) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2931, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6163), _u6164) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6164), _u6163) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6163 = _u6164) )).
% 12.21/12.45 cnf(matrix-2932, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6168), _u6170) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6168), _u6172)) | ( _u6168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6170 = _u6172) )).
% 12.21/12.45 cnf(matrix-2933, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6169), _u6171) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6169), _u6173)) | ( _u6169 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2934, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6169), _u6171) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6169), _u6173)) | ( _u6171 != _u6173) )).
% 12.21/12.45 cnf(matrix-2935, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6174) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2936, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6175), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2937, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6178), _u6180) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6180 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2938, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), _u6181) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6179 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2939, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), _u6181) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6181 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2940, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6185), _u6187) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6185), _u6189)) | ( _u6187 = _u6189) | ( _u6185 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2941, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6188) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6190)) | ( _u6188 != _u6190) )).
% 12.21/12.45 cnf(matrix-2942, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6188) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6190)) | ( _u6186 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2943, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6194), _u6196) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6198), _u6196)) | ( _u6194 = _u6198) | ( _u6196 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2944, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6195), _u6197) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6199), _u6197)) | ( _u6195 != _u6199) )).
% 12.21/12.45 cnf(matrix-2945, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6195), _u6197) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6199), _u6197)) | ( _u6197 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2946, plain, ( ~class_Rings_Olinordered__ring__strict(_u6200) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6201), _u6201)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6202), _u6202)) != c_Groups_Ozero__class_Ozero(_u6200)) | ( _u6201 = c_Groups_Ozero__class_Ozero(_u6200)) )).
% 12.21/12.45 cnf(matrix-2947, plain, ( ~class_Rings_Olinordered__ring__strict(_u6200) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6201), _u6201)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6202), _u6202)) != c_Groups_Ozero__class_Ozero(_u6200)) | ( _u6202 = c_Groups_Ozero__class_Ozero(_u6200)) )).
% 12.21/12.45 cnf(matrix-2948, plain, ( ~class_Rings_Olinordered__ring__strict(_u6200) | ( _u6201 != c_Groups_Ozero__class_Ozero(_u6200)) | ( _u6202 != c_Groups_Ozero__class_Ozero(_u6200)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6201), _u6201)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6202), _u6202)) = c_Groups_Ozero__class_Ozero(_u6200)) )).
% 12.21/12.45 cnf(matrix-2949, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6203) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2950, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6204), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2951, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6205) = _u6205) )).
% 12.21/12.45 cnf(matrix-2952, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6206), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6206) )).
% 12.21/12.45 cnf(matrix-2953, plain, ( ~class_Rings_Olinordered__semidom(_u6207) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6207), _u6208), _u6209) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6207), _u6210), _u6209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6207), c_Groups_Ozero__class_Ozero(_u6207)), _u6208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6207), c_Groups_Ozero__class_Ozero(_u6207)), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6209)) | ( _u6208 = _u6210) )).
% 12.21/12.45 cnf(matrix-2954, plain, ( ~class_Groups_Ocomm__monoid__add(_u6211) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6212, _u6211), hAPP(c_COMBK(_u6211, _u6212), c_Groups_Ozero__class_Ozero(_u6211))), _u6213) = c_Groups_Ozero__class_Ozero(_u6211)) )).
% 12.21/12.45 cnf(matrix-2955, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6214, _u6215, _u6216), _u6217), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6215) )).
% 12.21/12.45 cnf(matrix-2956, plain, ( ~class_Rings_Olinordered__semidom(_u6218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6218), _u6219), _u6220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), c_Groups_Ozero__class_Ozero(_u6218)), _u6219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6218), hAPP(hAPP(c_Power_Opower__class_Opower(_u6218), _u6219), _u6221)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6218), _u6220), _u6221))) )).
% 12.21/12.45 cnf(matrix-2957, plain, ( ~class_Rings_Olinordered__ring__strict(_u6222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6223), _u6223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6224), _u6224))), c_Groups_Ozero__class_Ozero(_u6222))) | ( _u6223 = c_Groups_Ozero__class_Ozero(_u6222)) )).
% 12.21/12.45 cnf(matrix-2958, plain, ( ~class_Rings_Olinordered__ring__strict(_u6222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6223), _u6223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6224), _u6224))), c_Groups_Ozero__class_Ozero(_u6222))) | ( _u6224 = c_Groups_Ozero__class_Ozero(_u6222)) )).
% 12.21/12.45 cnf(matrix-2959, plain, ( ~class_Rings_Olinordered__ring__strict(_u6222) | ( _u6223 != c_Groups_Ozero__class_Ozero(_u6222)) | ( _u6224 != c_Groups_Ozero__class_Ozero(_u6222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6223), _u6223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6222), _u6224), _u6224))), c_Groups_Ozero__class_Ozero(_u6222))) )).
% 12.21/12.45 cnf(matrix-2960, plain, ( ~class_Rings_Olinordered__ring(_u6225) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6225), c_Groups_Ozero__class_Ozero(_u6225)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6225), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6225), _u6226), _u6226)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6225), _u6227), _u6227)))) )).
% 12.21/12.45 cnf(matrix-2961, plain, ( ~class_Rings_Olinordered__ring__strict(_u6228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), c_Groups_Ozero__class_Ozero(_u6228)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6229), _u6229)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6230), _u6230)))) | ( _u6229 != c_Groups_Ozero__class_Ozero(_u6228)) | ( _u6230 != c_Groups_Ozero__class_Ozero(_u6228)) )).
% 12.21/12.45 cnf(matrix-2962, plain, ( ~class_Rings_Olinordered__ring__strict(_u6228) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), c_Groups_Ozero__class_Ozero(_u6228)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6229), _u6229)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6230), _u6230)))) | ( _u6229 = c_Groups_Ozero__class_Ozero(_u6228)) )).
% 12.21/12.45 cnf(matrix-2963, plain, ( ~class_Rings_Olinordered__ring__strict(_u6228) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6228), c_Groups_Ozero__class_Ozero(_u6228)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6229), _u6229)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6230), _u6230)))) | ( _u6230 = c_Groups_Ozero__class_Ozero(_u6228)) )).
% 12.21/12.45 cnf(matrix-2964, plain, ( ~class_Rings_Olinordered__ring(_u6231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6231), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6231), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6231), _u6232), _u6232)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6231), _u6233), _u6233))), c_Groups_Ozero__class_Ozero(_u6231))) )).
% 12.21/12.45 cnf(matrix-2965, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), _u6235), c_Groups_Ozero__class_Ozero(_u6234))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), _u6236), c_Groups_Ozero__class_Ozero(_u6234))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6234), _u6235), _u6236)), c_Groups_Ozero__class_Ozero(_u6234))) )).
% 12.21/12.45 cnf(matrix-2966, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), _u6239), _u6240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), _u6239), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6237), _u6240), _u6238))) )).
% 12.21/12.45 cnf(matrix-2967, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6241), c_Groups_Ozero__class_Ozero(_u6241)), _u6242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6241), _u6243), _u6244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6241), _u6243), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6241), _u6242), _u6244))) )).
% 12.21/12.45 cnf(matrix-2968, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6247)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6245), _u6246), _u6247) != c_Groups_Ozero__class_Ozero(_u6245)) | ( _u6246 = c_Groups_Ozero__class_Ozero(_u6245)) )).
% 12.21/12.45 cnf(matrix-2969, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6247)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6245), _u6246), _u6247) != c_Groups_Ozero__class_Ozero(_u6245)) | ( _u6247 = c_Groups_Ozero__class_Ozero(_u6245)) )).
% 12.21/12.45 cnf(matrix-2970, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6245), c_Groups_Ozero__class_Ozero(_u6245)), _u6247)) | ( _u6246 != c_Groups_Ozero__class_Ozero(_u6245)) | ( _u6247 != c_Groups_Ozero__class_Ozero(_u6245)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6245), _u6246), _u6247) = c_Groups_Ozero__class_Ozero(_u6245)) )).
% 12.21/12.45 cnf(matrix-2971, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), c_Groups_Ozero__class_Ozero(_u6248)), _u6249)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), c_Groups_Ozero__class_Ozero(_u6248)), _u6250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), c_Groups_Ozero__class_Ozero(_u6248)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6248), _u6249), _u6250))) )).
% 12.21/12.45 cnf(matrix-2972, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6251), _u6252), _u6252)), c_Groups_Ozero__class_Ozero(_u6251))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), _u6252), c_Groups_Ozero__class_Ozero(_u6251))) )).
% 12.21/12.45 cnf(matrix-2973, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), _u6252), c_Groups_Ozero__class_Ozero(_u6251))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6251), _u6252), _u6252)), c_Groups_Ozero__class_Ozero(_u6251))) )).
% 12.21/12.45 cnf(matrix-2974, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6253), _u6254), _u6254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) )).
% 12.21/12.45 cnf(matrix-2975, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6253), _u6254), _u6254))) )).
% 12.21/12.45 cnf(matrix-2976, plain, ( ~class_Rings_Olinordered__ring(_u6255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6255), c_Groups_Ozero__class_Ozero(_u6255)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6255), _u6256), _u6256))) )).
% 12.21/12.45 cnf(matrix-2977, plain, ( ~class_Rings_Olinordered__ring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6258), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.21/12.45 cnf(matrix-2978, plain, ( ~class_Rings_Olinordered__ring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6259), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.21/12.45 cnf(matrix-2979, plain, ( ~class_Rings_Olinordered__ring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6258), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.21/12.45 cnf(matrix-2980, plain, ( ~class_Rings_Olinordered__ring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6259), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.21/12.45 cnf(matrix-2981, plain, ( ~class_Rings_Olinordered__ring__strict(_u6257) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6259)) )).
% 12.21/12.45 cnf(matrix-2982, plain, ( ~class_Rings_Olinordered__ring__strict(_u6257) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6258), c_Groups_Ozero__class_Ozero(_u6257))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6257), _u6259), c_Groups_Ozero__class_Ozero(_u6257))) )).
% 12.21/12.45 cnf(matrix-2983, plain, ( ~class_Rings_Olinordered__ring__strict(_u6260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6261), c_Groups_Ozero__class_Ozero(_u6260))) )).
% 12.21/12.45 cnf(matrix-2984, plain, ( ~class_Rings_Olinordered__ring__strict(_u6260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6262)) )).
% 12.21/12.45 cnf(matrix-2985, plain, ( ~class_Rings_Olinordered__ring__strict(_u6260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6262), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6261), c_Groups_Ozero__class_Ozero(_u6260))) )).
% 12.21/12.45 cnf(matrix-2986, plain, ( ~class_Rings_Olinordered__ring__strict(_u6260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6262), c_Groups_Ozero__class_Ozero(_u6260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6262)) )).
% 12.21/12.45 cnf(matrix-2987, plain, ( ~class_Rings_Olinordered__ring__strict(_u6260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6262), c_Groups_Ozero__class_Ozero(_u6260))) )).
% 12.21/12.45 cnf(matrix-2988, plain, ( ~class_Rings_Olinordered__ring__strict(_u6260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6260), _u6261), _u6262)), c_Groups_Ozero__class_Ozero(_u6260))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), _u6261), c_Groups_Ozero__class_Ozero(_u6260))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6260), c_Groups_Ozero__class_Ozero(_u6260)), _u6262)) )).
% 12.21/12.45 cnf(matrix-2989, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6263), c_Groups_Ozero__class_Ozero(_u6263)), _u6264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6263), c_Groups_Ozero__class_Ozero(_u6263)), _u6265)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6263), c_Groups_Ozero__class_Ozero(_u6263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6263), _u6264), _u6265))) )).
% 12.21/12.45 cnf(matrix-2990, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6266) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), c_Groups_Ozero__class_Ozero(_u6266)), _u6267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), _u6268), c_Groups_Ozero__class_Ozero(_u6266))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6266), _u6267), _u6268)), c_Groups_Ozero__class_Ozero(_u6266))) )).
% 12.21/12.45 cnf(matrix-2991, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6269), c_Groups_Ozero__class_Ozero(_u6269)), _u6270)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6269), _u6271), c_Groups_Ozero__class_Ozero(_u6269))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6269), _u6271), _u6270)), c_Groups_Ozero__class_Ozero(_u6269))) )).
% 12.21/12.45 cnf(matrix-2992, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6272), _u6273), c_Groups_Ozero__class_Ozero(_u6272))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6272), c_Groups_Ozero__class_Ozero(_u6272)), _u6274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6272), _u6273), _u6274)), c_Groups_Ozero__class_Ozero(_u6272))) )).
% 12.21/12.45 cnf(matrix-2993, plain, ( ~class_Rings_Oordered__ring(_u6275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6275), _u6276), c_Groups_Ozero__class_Ozero(_u6275))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6275), _u6277), c_Groups_Ozero__class_Ozero(_u6275))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6275), c_Groups_Ozero__class_Ozero(_u6275)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6277))) )).
% 12.21/12.45 cnf(matrix-2994, plain, ( ~class_Rings_Oordered__semiring(_u6278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), _u6279), _u6280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), c_Groups_Ozero__class_Ozero(_u6278)), _u6281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6278), _u6279), _u6281)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6278), _u6280), _u6281))) )).
% 12.21/12.45 cnf(matrix-2995, plain, ( ~class_Rings_Oordered__semiring(_u6282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), _u6283), _u6284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), _u6285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6285), _u6283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6285), _u6284))) )).
% 12.21/12.45 cnf(matrix-2996, plain, ( ~class_Rings_Oordered__comm__semiring(_u6286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), _u6287), _u6288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), c_Groups_Ozero__class_Ozero(_u6286)), _u6289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6286), _u6289), _u6287)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6286), _u6289), _u6288))) )).
% 12.21/12.45 cnf(matrix-2997, plain, ( ~class_Rings_Oordered__ring(_u6290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), _u6291), _u6292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), _u6293), c_Groups_Ozero__class_Ozero(_u6290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6290), _u6292), _u6293)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6290), _u6291), _u6293))) )).
% 12.21/12.45 cnf(matrix-2998, plain, ( ~class_Rings_Oordered__ring(_u6294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), _u6295), _u6296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), _u6297), c_Groups_Ozero__class_Ozero(_u6294))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6297), _u6296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6297), _u6295))) )).
% 12.21/12.45 cnf(matrix-2999, plain, ( ~class_Rings_Oordered__semiring(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), _u6299), _u6300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), _u6301), _u6302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6300), _u6302))) )).
% 12.21/12.45 cnf(matrix-3000, plain, ( ~class_Rings_Oordered__semiring(_u6303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), _u6304), _u6305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), _u6306), _u6307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), c_Groups_Ozero__class_Ozero(_u6303)), _u6305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), c_Groups_Ozero__class_Ozero(_u6303)), _u6306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6303), _u6304), _u6306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6303), _u6305), _u6307))) )).
% 12.21/12.45 cnf(matrix-3001, plain, ( ~class_Rings_Oordered__ring(_u6308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), c_Groups_Ozero__class_Ozero(_u6308)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6308), _u6309), _u6310))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), c_Groups_Ozero__class_Ozero(_u6308)), _u6309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), c_Groups_Ozero__class_Ozero(_u6308)), _u6310)) )).
% 12.21/12.45 cnf(matrix-3002, plain, ( ~class_Rings_Oordered__ring(_u6308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), c_Groups_Ozero__class_Ozero(_u6308)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6308), _u6309), _u6310))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), _u6309), c_Groups_Ozero__class_Ozero(_u6308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6308), _u6310), c_Groups_Ozero__class_Ozero(_u6308))) )).
% 12.21/12.45 cnf(matrix-3003, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6311) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6311), _u6312), _u6313)), c_Groups_Ozero__class_Ozero(_u6311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), c_Groups_Ozero__class_Ozero(_u6311)), _u6312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), _u6313), c_Groups_Ozero__class_Ozero(_u6311))) )).
% 12.21/12.45 cnf(matrix-3004, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6311) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6311), _u6312), _u6313)), c_Groups_Ozero__class_Ozero(_u6311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), _u6312), c_Groups_Ozero__class_Ozero(_u6311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), c_Groups_Ozero__class_Ozero(_u6311)), _u6313)) )).
% 12.21/12.45 cnf(matrix-3005, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6314), _u6315), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), _u6315)) )).
% 12.21/12.45 cnf(matrix-3006, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), _u6315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6314), _u6315), _u6315))) )).
% 12.21/12.45 cnf(matrix-3007, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6316), _u6317), _u6317)), c_Groups_Ozero__class_Ozero(_u6316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), _u6317), c_Groups_Ozero__class_Ozero(_u6316))) )).
% 12.21/12.45 cnf(matrix-3008, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), _u6317), c_Groups_Ozero__class_Ozero(_u6316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6316), _u6317), _u6317)), c_Groups_Ozero__class_Ozero(_u6316))) )).
% 12.21/12.45 cnf(matrix-3009, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), _u6319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), _u6320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6318), _u6319), _u6320))) )).
% 12.21/12.45 cnf(matrix-3010, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), _u6322), c_Groups_Ozero__class_Ozero(_u6321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), _u6323), c_Groups_Ozero__class_Ozero(_u6321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6321), _u6322), _u6323)), c_Groups_Ozero__class_Ozero(_u6321))) )).
% 12.21/12.45 cnf(matrix-3011, plain, ( ~class_Rings_Olinordered__semidom(_u6324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), c_Groups_Ozero__class_Ozero(_u6324)), _u6325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), _u6326), _u6327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), _u6326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6324), _u6325), _u6327))) )).
% 12.21/12.45 cnf(matrix-3012, plain, ( ~class_Rings_Olinordered__ring(_u6328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6328), _u6329), _u6329)), c_Groups_Ozero__class_Ozero(_u6328))) )).
% 12.21/12.45 cnf(matrix-3013, plain, ( ~class_Rings_Olinordered__ring__strict(_u6330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), c_Groups_Ozero__class_Ozero(_u6330)), _u6332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6332), c_Groups_Ozero__class_Ozero(_u6330))) )).
% 12.21/12.45 cnf(matrix-3014, plain, ( ~class_Rings_Olinordered__ring__strict(_u6330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), c_Groups_Ozero__class_Ozero(_u6330)), _u6332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6333), _u6331)) )).
% 12.21/12.45 cnf(matrix-3015, plain, ( ~class_Rings_Olinordered__ring__strict(_u6330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6331), _u6333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6332), c_Groups_Ozero__class_Ozero(_u6330))) )).
% 12.21/12.45 cnf(matrix-3016, plain, ( ~class_Rings_Olinordered__ring__strict(_u6330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6331), _u6333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6333), _u6331)) )).
% 12.21/12.45 cnf(matrix-3017, plain, ( ~class_Rings_Olinordered__ring__strict(_u6330) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), c_Groups_Ozero__class_Ozero(_u6330)), _u6332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6331), _u6333)) )).
% 12.21/12.45 cnf(matrix-3018, plain, ( ~class_Rings_Olinordered__ring__strict(_u6330) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6331), _u6332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6330), _u6333), _u6332))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6332), c_Groups_Ozero__class_Ozero(_u6330))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6330), _u6333), _u6331)) )).
% 12.21/12.45 cnf(matrix-3019, plain, ( ~class_Rings_Olinordered__ring__strict(_u6334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), c_Groups_Ozero__class_Ozero(_u6334)), _u6335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6335), c_Groups_Ozero__class_Ozero(_u6334))) )).
% 12.21/12.45 cnf(matrix-3020, plain, ( ~class_Rings_Olinordered__ring__strict(_u6334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), c_Groups_Ozero__class_Ozero(_u6334)), _u6335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6337), _u6336)) )).
% 12.21/12.45 cnf(matrix-3021, plain, ( ~class_Rings_Olinordered__ring__strict(_u6334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6336), _u6337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6335), c_Groups_Ozero__class_Ozero(_u6334))) )).
% 12.21/12.45 cnf(matrix-3022, plain, ( ~class_Rings_Olinordered__ring__strict(_u6334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6336), _u6337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6337), _u6336)) )).
% 12.21/12.45 cnf(matrix-3023, plain, ( ~class_Rings_Olinordered__ring__strict(_u6334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), c_Groups_Ozero__class_Ozero(_u6334)), _u6335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6336), _u6337)) )).
% 12.21/12.45 cnf(matrix-3024, plain, ( ~class_Rings_Olinordered__ring__strict(_u6334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6334), _u6335), _u6337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6335), c_Groups_Ozero__class_Ozero(_u6334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6334), _u6337), _u6336)) )).
% 12.21/12.45 cnf(matrix-3025, plain, ( ~class_Rings_Olinordered__ring__strict(_u6338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), c_Groups_Ozero__class_Ozero(_u6338)), _u6339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6338), _u6339), _u6340)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6338), _u6339), _u6341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), _u6340), _u6341)) )).
% 12.21/12.45 cnf(matrix-3026, plain, ( ~class_Rings_Olinordered__ring__strict(_u6338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), c_Groups_Ozero__class_Ozero(_u6338)), _u6339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), _u6340), _u6341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6338), _u6339), _u6340)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6338), _u6339), _u6341))) )).
% 12.21/12.45 cnf(matrix-3027, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6342), c_Groups_Ozero__class_Ozero(_u6342)), _u6343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6342), c_Groups_Ozero__class_Ozero(_u6342)), _u6344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6342), c_Groups_Ozero__class_Ozero(_u6342)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6342), _u6343), _u6344))) )).
% 12.21/12.45 cnf(matrix-3028, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6345), c_Groups_Ozero__class_Ozero(_u6345)), _u6346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6345), _u6347), c_Groups_Ozero__class_Ozero(_u6345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6345), _u6346), _u6347)), c_Groups_Ozero__class_Ozero(_u6345))) )).
% 12.21/12.45 cnf(matrix-3029, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6348), c_Groups_Ozero__class_Ozero(_u6348)), _u6349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6348), _u6350), c_Groups_Ozero__class_Ozero(_u6348))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6348), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6348), _u6350), _u6349)), c_Groups_Ozero__class_Ozero(_u6348))) )).
% 12.21/12.45 cnf(matrix-3030, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6351), c_Groups_Ozero__class_Ozero(_u6351)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6353))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6351), c_Groups_Ozero__class_Ozero(_u6351)), _u6352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6351), c_Groups_Ozero__class_Ozero(_u6351)), _u6353)) )).
% 12.21/12.45 cnf(matrix-3031, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6354), _u6355), _u6356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), _u6356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), _u6355)) )).
% 12.21/12.45 cnf(matrix-3032, plain, ( ~class_Rings_Olinordered__ring__strict(_u6357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), _u6358), c_Groups_Ozero__class_Ozero(_u6357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6359)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6360))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), _u6360), _u6359)) )).
% 12.21/12.45 cnf(matrix-3033, plain, ( ~class_Rings_Olinordered__ring__strict(_u6357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), _u6358), c_Groups_Ozero__class_Ozero(_u6357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), _u6360), _u6359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6359)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6360))) )).
% 12.21/12.45 cnf(matrix-3034, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), _u6362), c_Groups_Ozero__class_Ozero(_u6361))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), c_Groups_Ozero__class_Ozero(_u6361)), _u6363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6361), _u6362), _u6363)), c_Groups_Ozero__class_Ozero(_u6361))) )).
% 12.21/12.45 cnf(matrix-3035, plain, ( ~class_Rings_Olinordered__ring__strict(_u6364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6364), _u6365), c_Groups_Ozero__class_Ozero(_u6364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6364), _u6366), c_Groups_Ozero__class_Ozero(_u6364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6364), c_Groups_Ozero__class_Ozero(_u6364)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6364), _u6365), _u6366))) )).
% 12.21/12.45 cnf(matrix-3036, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6367), _u6368), _u6369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6367), c_Groups_Ozero__class_Ozero(_u6367)), _u6370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6367), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6367), _u6368), _u6370)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6367), _u6369), _u6370))) )).
% 12.21/12.45 cnf(matrix-3037, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6371), _u6372), _u6373)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6371), c_Groups_Ozero__class_Ozero(_u6371)), _u6374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6371), _u6374), _u6372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6371), _u6374), _u6373))) )).
% 12.21/12.45 cnf(matrix-3038, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u6375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6375), _u6376), _u6377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6375), c_Groups_Ozero__class_Ozero(_u6375)), _u6378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6375), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6375), _u6378), _u6376)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6375), _u6378), _u6377))) )).
% 12.21/12.45 cnf(matrix-3039, plain, ( ~class_Rings_Olinordered__ring__strict(_u6379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6379), _u6380), _u6381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6379), _u6382), c_Groups_Ozero__class_Ozero(_u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6379), _u6381), _u6382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6379), _u6380), _u6382))) )).
% 12.21/12.45 cnf(matrix-3040, plain, ( ~class_Rings_Olinordered__ring__strict(_u6383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6383), _u6384), _u6385)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6383), _u6386), c_Groups_Ozero__class_Ozero(_u6383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6383), _u6386), _u6385)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6383), _u6386), _u6384))) )).
% 12.21/12.45 cnf(matrix-3041, plain, ( ~class_Groups_Oordered__ab__group__add(_u6387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6387), _u6388), _u6389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6387), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6387), _u6388), _u6389)), c_Groups_Ozero__class_Ozero(_u6387))) )).
% 12.21/12.45 cnf(matrix-3042, plain, ( ~class_Groups_Oordered__ab__group__add(_u6387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6387), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6387), _u6388), _u6389)), c_Groups_Ozero__class_Ozero(_u6387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6387), _u6388), _u6389)) )).
% 12.21/12.45 cnf(matrix-3043, plain, ( ~class_Groups_Oordered__ab__group__add(_u6390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6390), _u6391), _u6392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6390), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6390), _u6391), _u6392)), c_Groups_Ozero__class_Ozero(_u6390))) )).
% 12.21/12.45 cnf(matrix-3044, plain, ( ~class_Groups_Oordered__ab__group__add(_u6390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6390), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6390), _u6391), _u6392)), c_Groups_Ozero__class_Ozero(_u6390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6390), _u6391), _u6392)) )).
% 12.21/12.45 cnf(matrix-3045, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6393) | ( _u6394 = c_Groups_Ozero__class_Ozero(_u6393)) | ( _u6395 != _u6396) | ( _u6397 = _u6398) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6393), _u6395), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6393), _u6394), _u6397)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6393), _u6396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6393), _u6394), _u6398))) )).
% 12.21/12.45 cnf(matrix-3046, plain, ( ~class_Rings_Olinordered__semidom(_u6399) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), c_Groups_Ozero__class_Ozero(_u6399)), c_Groups_Oone__class_Oone(_u6399))) )).
% 12.21/12.45 cnf(matrix-3047, plain, ( ~class_Rings_Olinordered__semidom(_u6400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6400), c_Groups_Oone__class_Oone(_u6400)), c_Groups_Ozero__class_Ozero(_u6400))) )).
% 12.21/12.45 cnf(matrix-3048, plain, ( ~class_Rings_Olinordered__semidom(_u6401) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6401), c_Groups_Ozero__class_Ozero(_u6401)), c_Groups_Oone__class_Oone(_u6401))) )).
% 12.21/12.45 cnf(matrix-3049, plain, ( ~class_Rings_Olinordered__semidom(_u6402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6402), c_Groups_Oone__class_Oone(_u6402)), c_Groups_Ozero__class_Ozero(_u6402))) )).
% 12.21/12.45 cnf(matrix-3050, plain, ( ~class_Groups_Oordered__ab__group__add(_u6403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), c_Groups_Ozero__class_Ozero(_u6403)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6403), _u6404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), c_Groups_Ozero__class_Ozero(_u6403))) )).
% 12.21/12.45 cnf(matrix-3051, plain, ( ~class_Groups_Oordered__ab__group__add(_u6403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), c_Groups_Ozero__class_Ozero(_u6403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), c_Groups_Ozero__class_Ozero(_u6403)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6403), _u6404))) )).
% 12.21/12.45 cnf(matrix-3052, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), hAPP(c_Groups_Ouminus__class_Ouminus(_u6405), _u6406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), c_Groups_Ozero__class_Ozero(_u6405))) )).
% 12.21/12.45 cnf(matrix-3053, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), c_Groups_Ozero__class_Ozero(_u6405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), hAPP(c_Groups_Ouminus__class_Ouminus(_u6405), _u6406))) )).
% 12.21/12.45 cnf(matrix-3054, plain, ( ~class_Groups_Oordered__ab__group__add(_u6407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6407), hAPP(c_Groups_Ouminus__class_Ouminus(_u6407), _u6408)), c_Groups_Ozero__class_Ozero(_u6407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6407), c_Groups_Ozero__class_Ozero(_u6407)), _u6408)) )).
% 12.21/12.45 cnf(matrix-3055, plain, ( ~class_Groups_Oordered__ab__group__add(_u6407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6407), c_Groups_Ozero__class_Ozero(_u6407)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6407), hAPP(c_Groups_Ouminus__class_Ouminus(_u6407), _u6408)), c_Groups_Ozero__class_Ozero(_u6407))) )).
% 12.21/12.45 cnf(matrix-3056, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6409), hAPP(c_Groups_Ouminus__class_Ouminus(_u6409), _u6410)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6409), c_Groups_Ozero__class_Ozero(_u6409)), _u6410)) )).
% 12.21/12.45 cnf(matrix-3057, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6409), c_Groups_Ozero__class_Ozero(_u6409)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6409), hAPP(c_Groups_Ouminus__class_Ouminus(_u6409), _u6410)), _u6410)) )).
% 12.21/12.45 cnf(matrix-3058, plain, ( ~class_Rings_Olinordered__idom(_u6411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), hAPP(c_Groups_Ouminus__class_Ouminus(_u6411), _u6412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), c_Groups_Ozero__class_Ozero(_u6411))) )).
% 12.21/12.45 cnf(matrix-3059, plain, ( ~class_Rings_Olinordered__idom(_u6411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), c_Groups_Ozero__class_Ozero(_u6411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), hAPP(c_Groups_Ouminus__class_Ouminus(_u6411), _u6412))) )).
% 12.21/12.45 cnf(matrix-3060, plain, ( ~class_Groups_Oordered__ab__group__add(_u6413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), c_Groups_Ozero__class_Ozero(_u6413)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6413), _u6414))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), c_Groups_Ozero__class_Ozero(_u6413))) )).
% 12.21/12.45 cnf(matrix-3061, plain, ( ~class_Groups_Oordered__ab__group__add(_u6413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), c_Groups_Ozero__class_Ozero(_u6413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), c_Groups_Ozero__class_Ozero(_u6413)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6413), _u6414))) )).
% 12.21/12.45 cnf(matrix-3062, plain, ( ~class_Groups_Oordered__ab__group__add(_u6415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6415), hAPP(c_Groups_Ouminus__class_Ouminus(_u6415), _u6416)), c_Groups_Ozero__class_Ozero(_u6415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6415), c_Groups_Ozero__class_Ozero(_u6415)), _u6416)) )).
% 12.21/12.45 cnf(matrix-3063, plain, ( ~class_Groups_Oordered__ab__group__add(_u6415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6415), c_Groups_Ozero__class_Ozero(_u6415)), _u6416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6415), hAPP(c_Groups_Ouminus__class_Ouminus(_u6415), _u6416)), c_Groups_Ozero__class_Ozero(_u6415))) )).
% 12.21/12.45 cnf(matrix-3064, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6417), hAPP(c_Groups_Ouminus__class_Ouminus(_u6417), _u6418)), _u6418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6417), c_Groups_Ozero__class_Ozero(_u6417)), _u6418)) )).
% 12.21/12.45 cnf(matrix-3065, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6417), c_Groups_Ozero__class_Ozero(_u6417)), _u6418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6417), hAPP(c_Groups_Ouminus__class_Ouminus(_u6417), _u6418)), _u6418)) )).
% 12.21/12.45 cnf(matrix-3066, plain, ( ~class_Groups_Ogroup__add(_u6419) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6419), _u6420), _u6421) != c_Groups_Ozero__class_Ozero(_u6419)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6419), _u6420) = _u6421) )).
% 12.21/12.45 cnf(matrix-3067, plain, ( ~class_Groups_Oab__group__add(_u6422) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6422), hAPP(c_Groups_Ouminus__class_Ouminus(_u6422), _u6423)), _u6423) = c_Groups_Ozero__class_Ozero(_u6422)) )).
% 12.21/12.45 cnf(matrix-3068, plain, ( ~class_Groups_Ogroup__add(_u6424) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6424), hAPP(c_Groups_Ouminus__class_Ouminus(_u6424), _u6425)), _u6425) = c_Groups_Ozero__class_Ozero(_u6424)) )).
% 12.21/12.45 cnf(matrix-3069, plain, ( ~class_Groups_Ogroup__add(_u6426) | ( _u6427 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6426), _u6428)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6426), _u6427), _u6428) = c_Groups_Ozero__class_Ozero(_u6426)) )).
% 12.21/12.45 cnf(matrix-3070, plain, ( ~class_Groups_Ogroup__add(_u6426) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6426), _u6427), _u6428) != c_Groups_Ozero__class_Ozero(_u6426)) | ( _u6427 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6426), _u6428)) )).
% 12.21/12.45 cnf(matrix-3071, plain, ( ~class_Groups_Ogroup__add(_u6429) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6429), _u6430), hAPP(c_Groups_Ouminus__class_Ouminus(_u6429), _u6430)) = c_Groups_Ozero__class_Ozero(_u6429)) )).
% 12.21/12.45 cnf(matrix-3072, plain, ( ~class_Rings_Olinordered__semidom(_u6431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6431), _u6432), _u6433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6431), c_Groups_Ozero__class_Ozero(_u6431)), _u6432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6431), hAPP(hAPP(c_Power_Opower__class_Opower(_u6431), _u6432), _u6434)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6431), _u6433), _u6434))) )).
% 12.21/12.45 cnf(matrix-3073, plain, ( ~class_Rings_Olinordered__semidom(_u6435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6435), c_Groups_Ozero__class_Ozero(_u6435)), _u6436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6435), c_Groups_Ozero__class_Ozero(_u6435)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6435), _u6436), _u6437))) )).
% 12.21/12.45 cnf(matrix-3074, plain, ( ~class_Rings_Olinordered__semidom(_u6438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6438), c_Groups_Ozero__class_Ozero(_u6438)), _u6439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6438), c_Groups_Ozero__class_Ozero(_u6438)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6438), _u6439), _u6440))) )).
% 12.21/12.45 cnf(matrix-3075, plain, ( ~class_Groups_Ogroup__add(_u6441) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6441), c_Groups_Ozero__class_Ozero(_u6441)), _u6442) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6441), _u6442)) )).
% 12.21/12.45 cnf(matrix-3076, plain, ( ~class_Groups_Ocomm__monoid__add(_u6443) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6444, _u6443), _u6445), c_Orderings_Obot__class_Obot(tc_fun(_u6444, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u6443)) )).
% 12.21/12.45 cnf(matrix-3077, plain, ( ~class_Groups_Ocomm__monoid__add(_u6446) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6447, _u6446), _u6448), c_Orderings_Obot__class_Obot(tc_fun(_u6447, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u6446)) )).
% 12.21/12.45 cnf(matrix-3078, plain, ( ~class_Groups_Ocomm__monoid__add(_u6449) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6450), _u6451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6450, _u6449), _u6452), _u6451) = c_Groups_Ozero__class_Ozero(_u6449)) )).
% 12.21/12.45 cnf(matrix-3079, plain, ( ~class_Groups_Ocomm__monoid__add(_u6453) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6454), _u6455)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6454, _u6453), _u6456), _u6455) = c_Groups_Ozero__class_Ozero(_u6453)) )).
% 12.21/12.45 cnf(matrix-3080, plain, ( ~class_Power_Opower(_u6457) | ~class_Rings_Osemiring__0(_u6457) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6457), c_Groups_Ozero__class_Ozero(_u6457)), hAPP(c_Nat_OSuc, _u6458)) = c_Groups_Ozero__class_Ozero(_u6457)) )).
% 12.21/12.45 cnf(matrix-3081, plain, ( ~class_Rings_Ocomm__semiring__1(_u6461) | ~class_Rings_Ono__zero__divisors(_u6461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6462), _u6463)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u6462, _u6461), _u6464), _u6463) != c_Groups_Ozero__class_Ozero(_u6461)) | hBOOL(hAPP(hAPP(c_member(_u6462), skolem121(_u6464, _u6463, _u6462, _u6461)), _u6463)) )).
% 12.21/12.45 cnf(matrix-3082, plain, ( ~class_Rings_Ocomm__semiring__1(_u6461) | ~class_Rings_Ono__zero__divisors(_u6461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6462), _u6463)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u6462, _u6461), _u6464), _u6463) != c_Groups_Ozero__class_Ozero(_u6461)) | ( hAPP(_u6464, skolem121(_u6464, _u6463, _u6462, _u6461)) = c_Groups_Ozero__class_Ozero(_u6461)) )).
% 12.21/12.45 cnf(matrix-3083, plain, ( ~class_Rings_Ocomm__semiring__1(_u6461) | ~class_Rings_Ono__zero__divisors(_u6461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6462), _u6463)) | ~hBOOL(hAPP(hAPP(c_member(_u6462), _u6460), _u6463)) | ( hAPP(_u6464, _u6460) != c_Groups_Ozero__class_Ozero(_u6461)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u6462, _u6461), _u6464), _u6463) = c_Groups_Ozero__class_Ozero(_u6461)) )).
% 12.21/12.45 cnf(matrix-3084, plain, ( ~class_Rings_Ocomm__semiring__1(_u6466) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6467), _u6468)) | ~hBOOL(hAPP(hAPP(c_member(_u6467), _u6465), _u6468)) | ( hAPP(_u6469, _u6465) != c_Groups_Ozero__class_Ozero(_u6466)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u6467, _u6466), _u6469), _u6468) = c_Groups_Ozero__class_Ozero(_u6466)) )).
% 12.21/12.45 cnf(matrix-3085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6473)) | ( _u6473 = hAPP(c_Nat_OSuc, skolem122(_u6473))) )).
% 12.21/12.45 cnf(matrix-3086, plain, ( ( _u6474 != hAPP(c_Nat_OSuc, _u6471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6474)) )).
% 12.21/12.45 cnf(matrix-3087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6476), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u6476 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3088, plain, ( ( _u6477 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6477), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-3089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6482), hAPP(c_Nat_OSuc, _u6484))) | ( _u6482 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6482 = hAPP(c_Nat_OSuc, skolem123(_u6484, _u6482))) )).
% 12.21/12.45 cnf(matrix-3090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6482), hAPP(c_Nat_OSuc, _u6484))) | ( _u6482 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem123(_u6484, _u6482)), _u6484)) )).
% 12.21/12.45 cnf(matrix-3091, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6483), hAPP(c_Nat_OSuc, _u6485))) | ( _u6483 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3092, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6483), hAPP(c_Nat_OSuc, _u6485))) | ( _u6483 != hAPP(c_Nat_OSuc, _u6479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6479), _u6485)) )).
% 12.21/12.45 cnf(matrix-3093, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6488), _u6490)) | ( _u6488 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6488 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3094, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6488), _u6490)) | ( _u6488 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6490 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3095, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6488), _u6490)) | ( _u6490 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6488 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3096, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6488), _u6490)) | ( _u6490 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6490 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3097, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6489), _u6491)) | ( _u6489 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6491 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3098, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6489), _u6491)) | ( _u6489 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6491 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3099, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6494), _u6496) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6494 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6494 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3100, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6494), _u6496) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6494 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6496 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3101, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6494), _u6496) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6494 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3102, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6494), _u6496) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6496 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3103, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6495), _u6497) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6495 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6497 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3104, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6495), _u6497) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6495 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6497 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3105, 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), _u6500), _u6502))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6502)) )).
% 12.21/12.45 cnf(matrix-3106, 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), _u6501), _u6503))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6501)) )).
% 12.21/12.45 cnf(matrix-3107, 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), _u6501), _u6503))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6503)) )).
% 12.21/12.45 cnf(matrix-3108, 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))), _u6504)) | 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), _u6504), _u6505))) )).
% 12.21/12.45 cnf(matrix-3109, plain, ( ~class_Power_Opower(_u6506) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6506), _u6507), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6506)) )).
% 12.21/12.45 cnf(matrix-3110, plain, ( ~class_Rings_Ocomm__semiring__1(_u6508) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6508), _u6509), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6508)) )).
% 12.21/12.45 cnf(matrix-3111, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6510), c_Orderings_Obot__class_Obot(tc_fun(_u6510, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3112, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6511), _u6512)) | ( hAPP(c_Finite__Set_Ocard(_u6511), _u6512) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3113, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6515), _u6517) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6515 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3114, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6515), _u6517) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6517 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3115, plain, ( ( _u6516 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6518 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6516), _u6518) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3116, 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), _u6521), _u6523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6523), _u6521)) )).
% 12.21/12.45 cnf(matrix-3117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6524), _u6522)) | 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), _u6522), _u6524))) )).
% 12.21/12.45 cnf(matrix-3118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6525)), _u6526)) )).
% 12.21/12.45 cnf(matrix-3119, 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), _u6529), _u6531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6529)) )).
% 12.21/12.45 cnf(matrix-3120, 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), _u6529), _u6531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6531)) )).
% 12.21/12.45 cnf(matrix-3121, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6532)) | 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), _u6530), _u6532))) )).
% 12.21/12.45 cnf(matrix-3122, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6536), _u6538)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6536), _u6540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6536)) )).
% 12.21/12.45 cnf(matrix-3123, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6536), _u6538)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6536), _u6540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6538), _u6540)) )).
% 12.21/12.45 cnf(matrix-3124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6539), _u6541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6537), _u6539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6537), _u6541))) )).
% 12.21/12.45 cnf(matrix-3125, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6549), _u6547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6547)) )).
% 12.21/12.45 cnf(matrix-3126, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6549), _u6547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6545), _u6549)) )).
% 12.21/12.45 cnf(matrix-3127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6546), _u6550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6546), _u6548)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6550), _u6548))) )).
% 12.21/12.45 cnf(matrix-3128, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6551), _u6552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6551), _u6553)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6552), _u6553))) )).
% 12.21/12.45 cnf(matrix-3129, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6554), _u6555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6556), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6556), _u6555))) )).
% 12.21/12.45 cnf(matrix-3130, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6558)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6559))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6558), _u6559)) )).
% 12.21/12.45 cnf(matrix-3131, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6558), _u6559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6558)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6559))) )).
% 12.21/12.45 cnf(matrix-3132, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6560)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6561) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6562)) | ( _u6561 = _u6562) )).
% 12.21/12.45 cnf(matrix-3133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6560)) | ( _u6561 != _u6562) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6561) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6562)) )).
% 12.21/12.45 cnf(matrix-3134, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6563), _u6564)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3135, plain, ( ( _u6567 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6569), _u6567) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3136, plain, ( ( _u6568 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6570), _u6568) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6570), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6570), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6568), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.21/12.45 cnf(matrix-3137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6571), _u6572)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6571), _u6572) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3138, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6575), _u6577) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6575), _u6577)) )).
% 12.21/12.45 cnf(matrix-3139, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6576), _u6578)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6576), _u6578) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3140, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3141, plain, ( ( _u6579 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6579), _u6580)) | ( _u6580 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3142, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6583), _u6584)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6583, tc_Nat_Onat), _u6585), _u6584) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6583), _u6581), _u6584)) | ( hAPP(_u6585, _u6581) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3143, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6583), _u6584)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6583, tc_Nat_Onat), _u6585), _u6584) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6583), skolem124(_u6585, _u6584, _u6583)), _u6584)) )).
% 12.21/12.45 cnf(matrix-3144, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6583), _u6584)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6583, tc_Nat_Onat), _u6585), _u6584) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u6585, skolem124(_u6585, _u6584, _u6583)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6586)) | ( _u6586 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6586), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-3146, plain, ( ( _u6589 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6589), _u6591) = _u6591) )).
% 12.21/12.45 cnf(matrix-3147, plain, ( ( _u6590 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6590), _u6592) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6590), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6592))) )).
% 12.21/12.45 cnf(matrix-3148, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6593), _u6594), c_Groups_Ozero__class_Ozero(_u6593))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6593), _u6595), c_Groups_Ozero__class_Ozero(_u6593))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), _u6594), _u6595)), c_Groups_Ozero__class_Ozero(_u6593))) )).
% 12.21/12.45 cnf(matrix-3149, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6596), _u6597), c_Groups_Ozero__class_Ozero(_u6596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6596), _u6598), c_Groups_Ozero__class_Ozero(_u6596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6596), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6596), _u6597), _u6598)), c_Groups_Ozero__class_Ozero(_u6596))) )).
% 12.21/12.45 cnf(matrix-3150, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6599), c_Groups_Ozero__class_Ozero(_u6599)), _u6600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6599), _u6601), _u6602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6599), _u6601), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), _u6600), _u6602))) )).
% 12.21/12.45 cnf(matrix-3151, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6603), c_Groups_Ozero__class_Ozero(_u6603)), _u6604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6603), _u6605), _u6606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6603), _u6605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6603), _u6604), _u6606))) )).
% 12.21/12.45 cnf(matrix-3152, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6607), c_Groups_Ozero__class_Ozero(_u6607)), _u6608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6607), c_Groups_Ozero__class_Ozero(_u6607)), _u6609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6607), c_Groups_Ozero__class_Ozero(_u6607)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6607), _u6608), _u6609))) )).
% 12.21/12.45 cnf(matrix-3153, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6610) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6610), c_Groups_Ozero__class_Ozero(_u6610)), _u6611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6610), c_Groups_Ozero__class_Ozero(_u6610)), _u6612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6610), c_Groups_Ozero__class_Ozero(_u6610)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6610), _u6611), _u6612))) )).
% 12.21/12.45 cnf(matrix-3154, plain, ( ~class_Rings_Olinordered__ring__strict(_u6613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6613), c_Groups_Ozero__class_Ozero(_u6613)), _u6614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6613), _u6614), _u6615)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6613), _u6614), _u6616))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6613), _u6615), _u6616)) )).
% 12.21/12.45 cnf(matrix-3155, plain, ( ~class_Rings_Olinordered__ring__strict(_u6613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6613), c_Groups_Ozero__class_Ozero(_u6613)), _u6614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6613), _u6615), _u6616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6613), _u6614), _u6615)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6613), _u6614), _u6616))) )).
% 12.21/12.45 cnf(matrix-3156, plain, ( ~class_Rings_Olinordered__ring__strict(_u6617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6617), _u6618), c_Groups_Ozero__class_Ozero(_u6617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6617), _u6618), _u6619)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6617), _u6618), _u6620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6617), _u6620), _u6619)) )).
% 12.21/12.45 cnf(matrix-3157, plain, ( ~class_Rings_Olinordered__ring__strict(_u6617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6617), _u6618), c_Groups_Ozero__class_Ozero(_u6617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6617), _u6620), _u6619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6617), _u6618), _u6619)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6617), _u6618), _u6620))) )).
% 12.21/12.45 cnf(matrix-3158, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6621), _u6622), _u6623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6621), _u6624), _u6625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6621), c_Groups_Ozero__class_Ozero(_u6621)), _u6623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), c_Groups_Ozero__class_Ozero(_u6621)), _u6624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6622), _u6624)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6623), _u6625))) )).
% 12.21/12.45 cnf(matrix-3159, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6626), _u6627), _u6628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6626), _u6629), _u6630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6626), c_Groups_Ozero__class_Ozero(_u6626)), _u6627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6626), c_Groups_Ozero__class_Ozero(_u6626)), _u6629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6626), _u6627), _u6629)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6626), _u6628), _u6630))) )).
% 12.21/12.45 cnf(matrix-3160, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6631), _u6632), _u6633)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6631), _u6634), _u6635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6631), c_Groups_Ozero__class_Ozero(_u6631)), _u6632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6631), c_Groups_Ozero__class_Ozero(_u6631)), _u6634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6631), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6631), _u6632), _u6634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6631), _u6633), _u6635))) )).
% 12.21/12.45 cnf(matrix-3161, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6636) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6636), _u6637), _u6638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6636), _u6639), _u6640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6636), c_Groups_Ozero__class_Ozero(_u6636)), _u6637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6636), c_Groups_Ozero__class_Ozero(_u6636)), _u6639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6636), _u6637), _u6639)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6636), _u6638), _u6640))) )).
% 12.21/12.45 cnf(matrix-3162, plain, ( ~class_Rings_Olinordered__semiring(_u6641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6641), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6641), _u6642), _u6643)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6641), _u6644), _u6643))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6641), c_Groups_Ozero__class_Ozero(_u6641)), _u6643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6641), _u6642), _u6644)) )).
% 12.21/12.45 cnf(matrix-3163, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6645), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6645), _u6646), _u6647)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6645), _u6648), _u6647))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6645), c_Groups_Ozero__class_Ozero(_u6645)), _u6647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6645), _u6646), _u6648)) )).
% 12.21/12.45 cnf(matrix-3164, plain, ( ~class_Rings_Olinordered__semiring(_u6649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6649), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6649), _u6650), _u6651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6649), _u6650), _u6652))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6649), c_Groups_Ozero__class_Ozero(_u6649)), _u6650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6649), _u6651), _u6652)) )).
% 12.21/12.45 cnf(matrix-3165, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6653), _u6654), _u6655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6653), _u6654), _u6656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6653), c_Groups_Ozero__class_Ozero(_u6653)), _u6654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6653), _u6655), _u6656)) )).
% 12.21/12.45 cnf(matrix-3166, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6657), _u6658), _u6659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6657), _u6660), _u6659))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6657), c_Groups_Ozero__class_Ozero(_u6657)), _u6659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6657), _u6658), _u6660)) )).
% 12.21/12.45 cnf(matrix-3167, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6661), _u6662), _u6663)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6661), _u6662), _u6664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6661), c_Groups_Ozero__class_Ozero(_u6661)), _u6662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6661), _u6663), _u6664)) )).
% 12.21/12.45 cnf(matrix-3168, plain, ( ( _u6667 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6667), _u6669) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3169, plain, ( ( _u6668 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6668), _u6670) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6668), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6670))) )).
% 12.21/12.45 cnf(matrix-3170, plain, ( ~class_Rings_Olinordered__idom(_u6671) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6671), c_Groups_Ozero__class_Ozero(_u6671)), _u6672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6671), c_Groups_Ozero__class_Ozero(_u6671)), _u6673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6671), _u6673), c_Groups_Oone__class_Oone(_u6671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6671), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6671), _u6672), _u6673)), _u6672)) )).
% 12.21/12.45 cnf(matrix-3171, plain, ( ~class_Rings_Olinordered__idom(_u6674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6674), c_Groups_Ozero__class_Ozero(_u6674)), _u6675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6674), c_Groups_Ozero__class_Ozero(_u6674)), _u6676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6674), _u6676), c_Groups_Oone__class_Oone(_u6674))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6674), _u6676), _u6675)), _u6675)) )).
% 12.21/12.45 cnf(matrix-3172, plain, ( ~class_Rings_Olinordered__semidom(_u6677) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6677), c_Groups_Ozero__class_Ozero(_u6677)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6677), c_Groups_Oone__class_Oone(_u6677)), c_Groups_Oone__class_Oone(_u6677)))) )).
% 12.21/12.45 cnf(matrix-3173, plain, ( ~class_Rings_Olinordered__semidom(_u6678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6678), hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6680)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6681), _u6680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6678), c_Groups_Ozero__class_Ozero(_u6678)), _u6681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6678), _u6679), _u6681)) )).
% 12.21/12.45 cnf(matrix-3174, plain, ( ~class_Rings_Olinordered__semidom(_u6682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6682), hAPP(hAPP(c_Power_Opower__class_Opower(_u6682), _u6683), hAPP(c_Nat_OSuc, _u6684))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6682), _u6685), hAPP(c_Nat_OSuc, _u6684)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6682), c_Groups_Ozero__class_Ozero(_u6682)), _u6685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6682), _u6683), _u6685)) )).
% 12.21/12.45 cnf(matrix-3175, plain, ( ~class_Rings_Olinordered__semidom(_u6686) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6686), _u6687), hAPP(c_Nat_OSuc, _u6688)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6686), _u6689), hAPP(c_Nat_OSuc, _u6688))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6686), c_Groups_Ozero__class_Ozero(_u6686)), _u6687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6686), c_Groups_Ozero__class_Ozero(_u6686)), _u6689)) | ( _u6687 = _u6689) )).
% 12.21/12.45 cnf(matrix-3176, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6692), _u6694) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6694 = c_Orderings_Obot__class_Obot(tc_fun(_u6692, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6692), _u6694)) )).
% 12.21/12.45 cnf(matrix-3177, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6693), _u6695) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6695 != c_Orderings_Obot__class_Obot(tc_fun(_u6693, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3178, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6693), _u6695) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6693), _u6695)) )).
% 12.21/12.45 cnf(matrix-3179, 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(_u6696), _u6697))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6696), _u6697)) )).
% 12.21/12.45 cnf(matrix-3180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6698), hAPP(c_Nat_OSuc, _u6699))), _u6698)) )).
% 12.21/12.45 cnf(matrix-3181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6700)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6700), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u6700) )).
% 12.21/12.45 cnf(matrix-3182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6701)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6702)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6702), _u6701))) )).
% 12.21/12.45 cnf(matrix-3183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6703), _u6704))) )).
% 12.21/12.45 cnf(matrix-3184, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6706)) | 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), _u6706), _u6705))) )).
% 12.21/12.45 cnf(matrix-3185, plain, ( ~hBOOL(hAPP(_u6712, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6714), _u6716))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6714), _u6716)) | hBOOL(hAPP(_u6712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3186, plain, ( ~hBOOL(hAPP(_u6712, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6714), _u6716))) | ( _u6714 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6716), _u6707)) | hBOOL(hAPP(_u6712, _u6707)) )).
% 12.21/12.45 cnf(matrix-3187, plain, ( hBOOL(hAPP(_u6713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6715), _u6717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6715), _u6717)) | ( _u6715 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6717), skolem125(_u6717, _u6715, _u6713))) )).
% 12.21/12.45 cnf(matrix-3188, plain, ( hBOOL(hAPP(_u6713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6715), _u6717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6715), _u6717)) | ~hBOOL(hAPP(_u6713, skolem125(_u6717, _u6715, _u6713))) )).
% 12.21/12.45 cnf(matrix-3189, plain, ( hBOOL(hAPP(_u6713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6715), _u6717))) | ~hBOOL(hAPP(_u6713, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6715 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6717), skolem125(_u6717, _u6715, _u6713))) )).
% 12.21/12.45 cnf(matrix-3190, plain, ( hBOOL(hAPP(_u6713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6715), _u6717))) | ~hBOOL(hAPP(_u6713, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6713, skolem125(_u6717, _u6715, _u6713))) )).
% 12.21/12.45 cnf(matrix-3191, plain, ( ~hBOOL(hAPP(_u6723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6725), _u6727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6725), _u6727)) | hBOOL(hAPP(_u6723, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3192, plain, ( ~hBOOL(hAPP(_u6723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6725), _u6727))) | ( _u6725 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6727), _u6718)) | hBOOL(hAPP(_u6723, _u6718)) )).
% 12.21/12.45 cnf(matrix-3193, plain, ( hBOOL(hAPP(_u6724, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6726), _u6728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6726), _u6728)) | ( _u6726 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6728), skolem126(_u6728, _u6726, _u6724))) )).
% 12.21/12.45 cnf(matrix-3194, plain, ( hBOOL(hAPP(_u6724, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6726), _u6728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6726), _u6728)) | ~hBOOL(hAPP(_u6724, skolem126(_u6728, _u6726, _u6724))) )).
% 12.21/12.45 cnf(matrix-3195, plain, ( hBOOL(hAPP(_u6724, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6726), _u6728))) | ~hBOOL(hAPP(_u6724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6726 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6728), skolem126(_u6728, _u6726, _u6724))) )).
% 12.21/12.45 cnf(matrix-3196, plain, ( hBOOL(hAPP(_u6724, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6726), _u6728))) | ~hBOOL(hAPP(_u6724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6724, skolem126(_u6728, _u6726, _u6724))) )).
% 12.21/12.45 cnf(matrix-3197, 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), _u6731), _u6733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6731)) )).
% 12.21/12.45 cnf(matrix-3198, 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), _u6731), _u6733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6733)) )).
% 12.21/12.45 cnf(matrix-3199, 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))), _u6732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6734)) | 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), _u6732), _u6734))) )).
% 12.21/12.45 cnf(matrix-3200, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6738), _u6740)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6738), _u6742))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6740), _u6742)) )).
% 12.21/12.45 cnf(matrix-3201, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6739), _u6741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6739), _u6743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6739)) )).
% 12.21/12.45 cnf(matrix-3202, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6739), _u6741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6739), _u6743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6741), _u6743)) )).
% 12.21/12.45 cnf(matrix-3203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6747), _u6749)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6751), _u6749))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6747), _u6751)) )).
% 12.21/12.45 cnf(matrix-3204, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6748), _u6750)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6752), _u6750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6750)) )).
% 12.21/12.45 cnf(matrix-3205, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6748), _u6750)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6752), _u6750))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6748), _u6752)) )).
% 12.21/12.45 cnf(matrix-3206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6755))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6754), _u6755)) )).
% 12.21/12.45 cnf(matrix-3207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6754), _u6755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6755))) )).
% 12.21/12.45 cnf(matrix-3208, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u6760), skolem127(_u6762, _u6761, _u6760)), _u6761)) )).
% 12.21/12.45 cnf(matrix-3209, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u6762, skolem127(_u6762, _u6761, _u6760)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3210, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u6760), _u6756), _u6761)) | ( skolem127(_u6762, _u6761, _u6760) = _u6756) | ( hAPP(_u6762, _u6756) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3211, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u6760), _u6759), _u6761)) | ( hAPP(_u6762, _u6759) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u6760), skolem128(_u6762, _u6761, _u6760, _u6759)), _u6761)) )).
% 12.21/12.45 cnf(matrix-3212, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u6760), _u6759), _u6761)) | ( hAPP(_u6762, _u6759) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6759 != skolem128(_u6762, _u6761, _u6760, _u6759)) )).
% 12.21/12.45 cnf(matrix-3213, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6760), _u6761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6760, tc_Nat_Onat), _u6762), _u6761) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u6760), _u6759), _u6761)) | ( hAPP(_u6762, _u6759) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u6762, skolem128(_u6762, _u6761, _u6760, _u6759)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3214, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6767), skolem129(_u6769, _u6768, _u6767)), _u6768)) )).
% 12.21/12.45 cnf(matrix-3215, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u6769, skolem129(_u6769, _u6768, _u6767)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3216, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6767), _u6763), _u6768)) | ( skolem129(_u6769, _u6768, _u6767) = _u6763) | ( hAPP(_u6769, _u6763) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3217, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6767), _u6766), _u6768)) | ( hAPP(_u6769, _u6766) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6767), skolem130(_u6769, _u6768, _u6767, _u6766)), _u6768)) )).
% 12.21/12.45 cnf(matrix-3218, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6767), _u6766), _u6768)) | ( hAPP(_u6769, _u6766) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6766 != skolem130(_u6769, _u6768, _u6767, _u6766)) )).
% 12.21/12.45 cnf(matrix-3219, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6767), _u6768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6767, tc_Nat_Onat), _u6769), _u6768) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6767), _u6766), _u6768)) | ( hAPP(_u6769, _u6766) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u6769, skolem130(_u6769, _u6768, _u6767, _u6766)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3220, plain, ( ~class_Groups_Ocomm__monoid__add(_u6770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6771), _u6772)) | ~hBOOL(hAPP(hAPP(c_member(_u6771), _u6773), _u6772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6771, _u6770), hAPP(hAPP(c_COMBC(_u6771, _u6770, _u6770), hAPP(hAPP(c_COMBS(_u6771, _u6770, tc_fun(_u6770, _u6770)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6770, tc_fun(_u6770, _u6770)), _u6771), c_If(_u6770)), hAPP(hAPP(c_COMBC(_u6771, _u6771, tc_HOL_Obool), c_fequal), _u6773))), _u6774)), c_Groups_Ozero__class_Ozero(_u6770))), _u6772) = hAPP(_u6774, _u6773)) )).
% 12.21/12.45 cnf(matrix-3221, plain, ( ~class_Groups_Ocomm__monoid__add(_u6770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6771), _u6772)) | hBOOL(hAPP(hAPP(c_member(_u6771), _u6773), _u6772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6771, _u6770), hAPP(hAPP(c_COMBC(_u6771, _u6770, _u6770), hAPP(hAPP(c_COMBS(_u6771, _u6770, tc_fun(_u6770, _u6770)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6770, tc_fun(_u6770, _u6770)), _u6771), c_If(_u6770)), hAPP(hAPP(c_COMBC(_u6771, _u6771, tc_HOL_Obool), c_fequal), _u6773))), _u6774)), c_Groups_Ozero__class_Ozero(_u6770))), _u6772) = c_Groups_Ozero__class_Ozero(_u6770)) )).
% 12.21/12.45 cnf(matrix-3222, plain, ( ~class_Groups_Ocomm__monoid__add(_u6775) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6776), _u6777)) | ~hBOOL(hAPP(hAPP(c_member(_u6776), _u6778), _u6777)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6776, _u6775), hAPP(hAPP(c_COMBC(_u6776, _u6775, _u6775), hAPP(hAPP(c_COMBS(_u6776, _u6775, tc_fun(_u6775, _u6775)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6775, tc_fun(_u6775, _u6775)), _u6776), c_If(_u6775)), hAPP(c_fequal, _u6778))), _u6779)), c_Groups_Ozero__class_Ozero(_u6775))), _u6777) = hAPP(_u6779, _u6778)) )).
% 12.21/12.45 cnf(matrix-3223, plain, ( ~class_Groups_Ocomm__monoid__add(_u6775) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6776), _u6777)) | hBOOL(hAPP(hAPP(c_member(_u6776), _u6778), _u6777)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6776, _u6775), hAPP(hAPP(c_COMBC(_u6776, _u6775, _u6775), hAPP(hAPP(c_COMBS(_u6776, _u6775, tc_fun(_u6775, _u6775)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6775, tc_fun(_u6775, _u6775)), _u6776), c_If(_u6775)), hAPP(c_fequal, _u6778))), _u6779)), c_Groups_Ozero__class_Ozero(_u6775))), _u6777) = c_Groups_Ozero__class_Ozero(_u6775)) )).
% 12.21/12.45 cnf(matrix-3224, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6782), _u6783)) | ~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(_u6782, tc_Nat_Onat), _u6784), _u6783))) | ~hBOOL(hAPP(hAPP(c_member(_u6782), _u6780), _u6783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u6784, _u6780))) )).
% 12.21/12.45 cnf(matrix-3225, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6782), _u6783)) | 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(_u6782, tc_Nat_Onat), _u6784), _u6783))) | hBOOL(hAPP(hAPP(c_member(_u6782), skolem131(_u6784, _u6783, _u6782)), _u6783)) )).
% 12.21/12.45 cnf(matrix-3226, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6782), _u6783)) | 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(_u6782, tc_Nat_Onat), _u6784), _u6783))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u6784, skolem131(_u6784, _u6783, _u6782)))) )).
% 12.21/12.45 cnf(matrix-3227, plain, ( ~class_Rings_Olinordered__semiring__1(_u6785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), _u6786), _u6787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), _u6788), _u6787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), c_Groups_Ozero__class_Ozero(_u6785)), _u6789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), c_Groups_Ozero__class_Ozero(_u6785)), _u6790)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6785), _u6789), _u6790) != c_Groups_Oone__class_Oone(_u6785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6785), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6785), _u6789), _u6786)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6785), _u6790), _u6788))), _u6787)) )).
% 12.21/12.45 cnf(matrix-3228, plain, ( ~class_Rings_Olinordered__semidom(_u6791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6791), c_Groups_Ozero__class_Ozero(_u6791)), _u6792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6791), _u6792), c_Groups_Oone__class_Oone(_u6791))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6791), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6791), _u6792), hAPP(hAPP(c_Power_Opower__class_Opower(_u6791), _u6792), _u6793))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6791), _u6792), _u6793))) )).
% 12.21/12.45 cnf(matrix-3229, plain, ( ~class_Rings_Olinordered__semidom(_u6794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6794), c_Groups_Ozero__class_Ozero(_u6794)), _u6795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6794), _u6795), c_Groups_Oone__class_Oone(_u6794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6794), hAPP(hAPP(c_Power_Opower__class_Opower(_u6794), _u6795), hAPP(c_Nat_OSuc, _u6796))), c_Groups_Oone__class_Oone(_u6794))) )).
% 12.21/12.45 cnf(matrix-3230, plain, ( ~class_Rings_Olinordered__semidom(_u6797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6798), _u6799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6797), c_Groups_Ozero__class_Ozero(_u6797)), _u6800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6797), _u6800), c_Groups_Oone__class_Oone(_u6797))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6797), hAPP(hAPP(c_Power_Opower__class_Opower(_u6797), _u6800), _u6799)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6797), _u6800), _u6798))) )).
% 12.21/12.45 cnf(matrix-3231, plain, ( ~class_Rings_Olinordered__semidom(_u6801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6802), _u6803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6801), c_Groups_Ozero__class_Ozero(_u6801)), _u6804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6801), _u6804), c_Groups_Oone__class_Oone(_u6801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6801), hAPP(hAPP(c_Power_Opower__class_Opower(_u6801), _u6804), _u6803)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6801), _u6804), _u6802))) )).
% 12.21/12.45 cnf(matrix-3232, plain, ( ~class_Rings_Olinordered__semidom(_u6805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6805), c_Groups_Oone__class_Oone(_u6805)), _u6806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6805), c_Groups_Oone__class_Oone(_u6805)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6805), _u6806), _u6807))) )).
% 12.21/12.45 cnf(matrix-3233, 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(_u6810), _u6812))) | ( _u6812 != c_Orderings_Obot__class_Obot(tc_fun(_u6810, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3234, 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(_u6810), _u6812))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6810), _u6812)) )).
% 12.21/12.45 cnf(matrix-3235, plain, ( ( _u6813 = c_Orderings_Obot__class_Obot(tc_fun(_u6811, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6811), _u6813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6811), _u6813))) )).
% 12.21/12.45 cnf(matrix-3236, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6814), c_Orderings_Otop__class_Otop(tc_fun(_u6814, 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(_u6814), c_Orderings_Otop__class_Otop(tc_fun(_u6814, tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-3237, plain, ( ~class_Groups_Ocomm__monoid__add(_u6815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6816), _u6817)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6816, _u6815), _u6818), _u6817) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6815, _u6816, c_Groups_Oplus__class_Oplus(_u6815)), _u6818), c_Groups_Ozero__class_Ozero(_u6815)), _u6817)) )).
% 12.21/12.45 cnf(matrix-3238, plain, ( ~class_Groups_Ocomm__monoid__add(_u6819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6820), _u6821)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6820, _u6819), _u6822), _u6821) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6819, _u6820, c_Groups_Oplus__class_Oplus(_u6819)), _u6822), c_Groups_Ozero__class_Ozero(_u6819)), _u6821)) )).
% 12.21/12.45 cnf(matrix-3239, plain, ( ~class_Groups_Ocomm__monoid__add(_u6819) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6820), _u6821)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6820, _u6819), _u6822), _u6821) = c_Groups_Ozero__class_Ozero(_u6819)) )).
% 12.21/12.45 cnf(matrix-3240, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6823)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6823), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u6823) )).
% 12.21/12.45 cnf(matrix-3241, plain, ( ~class_Groups_Ocomm__monoid__add(_u6824) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6825), _u6826)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6825, _u6824), _u6827), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6825, tc_HOL_Obool)), _u6826), _u6828)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6825, _u6824), hAPP(hAPP(c_COMBC(_u6825, _u6824, _u6824), hAPP(hAPP(c_COMBS(_u6825, _u6824, tc_fun(_u6824, _u6824)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6824, tc_fun(_u6824, _u6824)), _u6825), c_If(_u6824)), hAPP(hAPP(c_COMBC(_u6825, tc_fun(_u6825, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6825)), _u6828))), _u6827)), c_Groups_Ozero__class_Ozero(_u6824))), _u6826)) )).
% 12.21/12.45 cnf(matrix-3242, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6831), _u6833)) | ( hAPP(c_Finite__Set_Ocard(_u6831), _u6833) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u6831, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u6831), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6833)) )).
% 12.21/12.45 cnf(matrix-3243, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6832), _u6834)) | ( hAPP(c_Finite__Set_Ocard(_u6832), _u6834) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3244, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6835), _u6836)) | ( hAPP(c_Finite__Set_Ocard(_u6835), _u6836) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u6835, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u6835), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6836)) )).
% 12.21/12.45 cnf(matrix-3245, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u6837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6837), _u6838), _u6839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6837), _u6840), _u6839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6837), c_Groups_Ozero__class_Ozero(_u6837)), _u6841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6837), c_Groups_Ozero__class_Ozero(_u6837)), _u6842)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6837), _u6841), _u6842) != c_Groups_Oone__class_Oone(_u6837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6837), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6837), _u6841), _u6838)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6837), _u6842), _u6840))), _u6839)) )).
% 12.21/12.45 cnf(matrix-3246, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u6843, _u6844, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u6843), _u6845), _u6846), _u6847)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3247, plain, ( ~class_Rings_Olinordered__idom(_u6848) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6848), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6848), _u6849), _u6849)), c_Groups_Ozero__class_Ozero(_u6848))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6848), _u6849), c_Groups_Ozero__class_Ozero(_u6848))) )).
% 12.21/12.45 cnf(matrix-3248, plain, ( ~class_Rings_Olinordered__idom(_u6848) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6848), _u6849), c_Groups_Ozero__class_Ozero(_u6848))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6848), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6848), _u6849), _u6849)), c_Groups_Ozero__class_Ozero(_u6848))) )).
% 12.21/12.45 cnf(matrix-3249, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u6850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u6850), _u6851), _u6852), _u6853)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3250, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6855), _u6856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6855), _u6857)) | ( hAPP(c_Finite__Set_Ocard(_u6855), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6855, tc_HOL_Obool)), _u6856), _u6857)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6855), _u6856)), hAPP(c_Finite__Set_Ocard(_u6855), _u6857))) | hBOOL(hAPP(hAPP(c_member(_u6855), skolem132(_u6857, _u6856, _u6855)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6855, tc_HOL_Obool)), _u6856), _u6857))) )).
% 12.21/12.45 cnf(matrix-3251, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6855), _u6856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6855), _u6857)) | ( hAPP(c_Finite__Set_Ocard(_u6855), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6855, tc_HOL_Obool)), _u6856), _u6857)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6855), _u6856)), hAPP(c_Finite__Set_Ocard(_u6855), _u6857))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3252, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6860), _u6861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6860, tc_HOL_Obool)), _u6862), _u6861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6859), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6860, _u6859), _u6863), _u6862)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6860, _u6859), _u6863), _u6861))) | hBOOL(hAPP(hAPP(c_member(_u6860), skolem133(_u6863, _u6862, _u6861, _u6860, _u6859)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6860, tc_HOL_Obool)), _u6861), _u6862))) )).
% 12.21/12.45 cnf(matrix-3253, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6860), _u6861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6860, tc_HOL_Obool)), _u6862), _u6861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6859), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6860, _u6859), _u6863), _u6862)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6860, _u6859), _u6863), _u6861))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6859), c_Groups_Ozero__class_Ozero(_u6859)), hAPP(_u6863, skolem133(_u6863, _u6862, _u6861, _u6860, _u6859)))) )).
% 12.21/12.45 cnf(matrix-3254, 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), _u6864)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u6865))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6866))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6866), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6864), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6866), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6865))))) )).
% 12.21/12.45 cnf(matrix-3255, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6867))) )).
% 12.21/12.45 cnf(matrix-3256, plain, ( ~class_Orderings_Olinorder(_u6868) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u6868), _u6869) != hAPP(c_SetInterval_Oord__class_OlessThan(_u6868), _u6870)) | ( _u6869 = _u6870) )).
% 12.21/12.45 cnf(matrix-3257, plain, ( ~class_Orderings_Olinorder(_u6868) | ( _u6869 != _u6870) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u6868), _u6869) = hAPP(c_SetInterval_Oord__class_OlessThan(_u6868), _u6870)) )).
% 12.21/12.45 cnf(matrix-3258, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6871)) = _u6871) )).
% 12.21/12.45 cnf(matrix-3259, 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))) )).
% 12.21/12.45 cnf(matrix-3260, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6872)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u6872), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6872))) )).
% 12.21/12.45 cnf(matrix-3261, 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))) )).
% 12.21/12.45 cnf(matrix-3262, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6873)) = 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), _u6873)))) )).
% 12.21/12.45 cnf(matrix-3263, plain, ( ~class_Groups_Ocomm__monoid__add(_u6874) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u6874), _u6875), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6876))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6874), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u6874), _u6875), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6876))), hAPP(_u6875, _u6876))) )).
% 12.21/12.45 cnf(matrix-3264, plain, ( ~class_Orderings_Oord(_u6877) | ~hBOOL(hAPP(hAPP(c_member(_u6877), _u6878), hAPP(c_SetInterval_Oord__class_OlessThan(_u6877), _u6879))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6877), _u6878), _u6879)) )).
% 12.21/12.45 cnf(matrix-3265, plain, ( ~class_Orderings_Oord(_u6877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6877), _u6878), _u6879)) | hBOOL(hAPP(hAPP(c_member(_u6877), _u6878), hAPP(c_SetInterval_Oord__class_OlessThan(_u6877), _u6879))) )).
% 12.21/12.45 cnf(matrix-3266, plain, ( ~class_Orderings_Olinorder(_u6880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6880, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6880), _u6881)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6880), _u6882))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), _u6881), _u6882)) )).
% 12.21/12.45 cnf(matrix-3267, plain, ( ~class_Orderings_Olinorder(_u6880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), _u6881), _u6882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6880, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6880), _u6881)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6880), _u6882))) )).
% 12.21/12.45 cnf(matrix-3268, plain, ( ~class_Orderings_Olinorder(_u6883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6883, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6883), _u6884)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6883), _u6885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6883), _u6884), _u6885)) )).
% 12.21/12.45 cnf(matrix-3269, plain, ( ~class_Orderings_Olinorder(_u6883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6883), _u6884), _u6885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6883, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6883), _u6884)), hAPP(c_SetInterval_Oord__class_OlessThan(_u6883), _u6885))) )).
% 12.21/12.45 cnf(matrix-3270, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6886), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6887), _u6888)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6886), _u6887)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6886), _u6888))) )).
% 12.21/12.45 cnf(matrix-3271, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6889), _u6890)), _u6891) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6890), _u6891))) )).
% 12.21/12.45 cnf(matrix-3272, plain, ( ~class_Orderings_Oorder(_u6892) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6892, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u6892), _u6893), c_Orderings_Obot__class_Obot(tc_fun(_u6892, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u6892), _u6893)) = hAPP(hAPP(c_Set_Oinsert(_u6892), _u6893), c_Orderings_Obot__class_Obot(tc_fun(_u6892, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-3273, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6894) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6894), _u6895), _u6895) != c_Groups_Ozero__class_Ozero(_u6894)) | ( _u6895 = c_Groups_Ozero__class_Ozero(_u6894)) )).
% 12.21/12.45 cnf(matrix-3274, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6894) | ( _u6895 != c_Groups_Ozero__class_Ozero(_u6894)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6894), _u6895), _u6895) = c_Groups_Ozero__class_Ozero(_u6894)) )).
% 12.21/12.45 cnf(matrix-3275, plain, ( ~class_Rings_Ocomm__semiring__1(_u6896) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6896), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), c_Groups_Oone__class_Oone(_u6896)), c_Groups_Oone__class_Oone(_u6896))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u6896), hAPP(hAPP(c_COMBB(_u6896, _u6896, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u6896), _u6897)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u6896, _u6896), hAPP(hAPP(c_COMBB(_u6896, tc_fun(_u6896, _u6896), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u6896)), c_Nat_Osemiring__1__class_Oof__nat(_u6896))), _u6898))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6899))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6896), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6896), _u6899)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), _u6897), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), _u6897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6896), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6896), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6899), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u6898))))) )).
% 12.21/12.45 cnf(matrix-3276, plain, ( ~class_Groups_Ocomm__monoid__add(_u6901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6902), _u6903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6902), _u6904)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6902, tc_HOL_Obool)), _u6903), _u6904)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6901), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), _u6903)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), _u6904))) | hBOOL(hAPP(hAPP(c_member(_u6902), skolem134(_u6905, _u6904, _u6903, _u6902, _u6901)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6902, tc_HOL_Obool)), _u6903), _u6904))) )).
% 12.21/12.45 cnf(matrix-3277, plain, ( ~class_Groups_Ocomm__monoid__add(_u6901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6902), _u6903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6902), _u6904)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6902, tc_HOL_Obool)), _u6903), _u6904)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6901), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), _u6903)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6902, _u6901), _u6905), _u6904))) | ( hAPP(_u6905, skolem134(_u6905, _u6904, _u6903, _u6902, _u6901)) != c_Groups_Ozero__class_Ozero(_u6901)) )).
% 12.21/12.45 cnf(matrix-3278, plain, ( ~class_Groups_Ocomm__monoid__add(_u6907) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6908), _u6909)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6908), _u6910)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6908, tc_HOL_Obool)), _u6909), _u6910)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6907), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), _u6909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), _u6910))) | hBOOL(hAPP(hAPP(c_member(_u6908), skolem135(_u6911, _u6910, _u6909, _u6908, _u6907)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6908, tc_HOL_Obool)), _u6909), _u6910))) )).
% 12.21/12.45 cnf(matrix-3279, plain, ( ~class_Groups_Ocomm__monoid__add(_u6907) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6908), _u6909)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6908), _u6910)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6908, tc_HOL_Obool)), _u6909), _u6910)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6907), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), _u6909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6908, _u6907), _u6911), _u6910))) | ( hAPP(_u6911, skolem135(_u6911, _u6910, _u6909, _u6908, _u6907)) != c_Groups_Ozero__class_Ozero(_u6907)) )).
% 12.21/12.45 cnf(matrix-3280, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6919), _u6921) != hAPP(c_Nat_OSuc, _u6923)) | ( _u6921 = hAPP(hAPP(c_Set_Oinsert(_u6919), skolem136(_u6923, _u6921, _u6919)), skolem137(_u6923, _u6921, _u6919))) )).
% 12.21/12.45 cnf(matrix-3281, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6919), _u6921) != hAPP(c_Nat_OSuc, _u6923)) | ~hBOOL(hAPP(hAPP(c_member(_u6919), skolem136(_u6923, _u6921, _u6919)), skolem137(_u6923, _u6921, _u6919))) )).
% 12.21/12.45 cnf(matrix-3282, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6919), _u6921) != hAPP(c_Nat_OSuc, _u6923)) | ( hAPP(c_Finite__Set_Ocard(_u6919), skolem137(_u6923, _u6921, _u6919)) = _u6923) )).
% 12.21/12.45 cnf(matrix-3283, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6919), _u6921) != hAPP(c_Nat_OSuc, _u6923)) | ( _u6923 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem137(_u6923, _u6921, _u6919) = c_Orderings_Obot__class_Obot(tc_fun(_u6919, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3284, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6920), _u6922) = hAPP(c_Nat_OSuc, _u6924)) | ( _u6922 != hAPP(hAPP(c_Set_Oinsert(_u6920), _u6915), _u6914)) | hBOOL(hAPP(hAPP(c_member(_u6920), _u6915), _u6914)) | ( hAPP(c_Finite__Set_Ocard(_u6920), _u6914) != _u6924) | ( _u6924 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3285, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6920), _u6922) = hAPP(c_Nat_OSuc, _u6924)) | ( _u6922 != hAPP(hAPP(c_Set_Oinsert(_u6920), _u6915), _u6914)) | hBOOL(hAPP(hAPP(c_member(_u6920), _u6915), _u6914)) | ( hAPP(c_Finite__Set_Ocard(_u6920), _u6914) != _u6924) | ( _u6914 != c_Orderings_Obot__class_Obot(tc_fun(_u6920, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3286, plain, ( ~class_Groups_Ocomm__monoid__add(_u6926) | ~class_Groups_Oordered__ab__semigroup__add(_u6926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6927), _u6928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6927, tc_HOL_Obool)), _u6929), _u6928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6926), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6927, _u6926), _u6930), _u6929)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6927, _u6926), _u6930), _u6928))) | hBOOL(hAPP(hAPP(c_member(_u6927), skolem138(_u6930, _u6929, _u6928, _u6927, _u6926)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6927, tc_HOL_Obool)), _u6928), _u6929))) )).
% 12.21/12.45 cnf(matrix-3287, plain, ( ~class_Groups_Ocomm__monoid__add(_u6926) | ~class_Groups_Oordered__ab__semigroup__add(_u6926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6927), _u6928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6927, tc_HOL_Obool)), _u6929), _u6928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6926), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6927, _u6926), _u6930), _u6929)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6927, _u6926), _u6930), _u6928))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6926), c_Groups_Ozero__class_Ozero(_u6926)), hAPP(_u6930, skolem138(_u6930, _u6929, _u6928, _u6927, _u6926)))) )).
% 12.21/12.45 cnf(matrix-3288, plain, ( ~class_Rings_Olinordered__idom(_u6931) | ~hBOOL(hAPP(hAPP(c_member(_u6931), _u6932), c_Int_Oring__1__class_OInts(_u6931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6931), c_Groups_Oone__class_Oone(_u6931)), _u6932)), _u6932)), c_Groups_Ozero__class_Ozero(_u6931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6931), _u6932), c_Groups_Ozero__class_Ozero(_u6931))) )).
% 12.21/12.45 cnf(matrix-3289, plain, ( ~class_Rings_Olinordered__idom(_u6931) | ~hBOOL(hAPP(hAPP(c_member(_u6931), _u6932), c_Int_Oring__1__class_OInts(_u6931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6931), _u6932), c_Groups_Ozero__class_Ozero(_u6931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6931), c_Groups_Oone__class_Oone(_u6931)), _u6932)), _u6932)), c_Groups_Ozero__class_Ozero(_u6931))) )).
% 12.21/12.45 cnf(matrix-3290, 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, _u6933)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6934))) )).
% 12.21/12.45 cnf(matrix-3291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6935)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6935), _u6936) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6935 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6935)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6935), _u6936) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6936 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3293, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6935)) | ( _u6935 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6936 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6935), _u6936) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3294, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6937), _u6938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6939), _u6937)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6939), _u6938))) )).
% 12.21/12.45 cnf(matrix-3295, plain, ( ~class_Rings_Oring__1(_u6940) | hBOOL(hAPP(hAPP(c_member(_u6940), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6940), _u6941)), c_Int_Oring__1__class_OInts(_u6940))) )).
% 12.21/12.45 cnf(matrix-3296, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6942)), _u6943) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6942), _u6943))) )).
% 12.21/12.45 cnf(matrix-3297, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), _u6945)), _u6946) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6945), _u6946))) )).
% 12.21/12.45 cnf(matrix-3298, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6947), _u6948) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6948), _u6947)) )).
% 12.21/12.45 cnf(matrix-3299, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6949), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6950), _u6951)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6949), _u6950)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6949), _u6951))) )).
% 12.21/12.45 cnf(matrix-3300, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6952), _u6953)), _u6954) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6952), _u6954)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6953), _u6954))) )).
% 12.21/12.45 cnf(matrix-3301, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6955), _u6956)), _u6957) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6955), _u6957)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6956), _u6957))) )).
% 12.21/12.45 cnf(matrix-3302, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6959), _u6960)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6958), _u6959)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6958), _u6960))) )).
% 12.21/12.45 cnf(matrix-3303, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6961) = _u6961) )).
% 12.21/12.45 cnf(matrix-3304, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6962), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u6962) )).
% 12.21/12.45 cnf(matrix-3305, plain, ( ~class_Nat_Osemiring__char__0(_u6963) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6963), _u6964) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6963), _u6965)) | ( _u6964 = _u6965) )).
% 12.21/12.45 cnf(matrix-3306, plain, ( ~class_Nat_Osemiring__char__0(_u6963) | ( _u6964 != _u6965) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6963), _u6964) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6963), _u6965)) )).
% 12.21/12.45 cnf(matrix-3307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6968)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6970)))) | ( _u6968 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6968)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6970)))) | ( _u6970 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3309, plain, ( ( _u6969 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6971 != 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), _u6969)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6971)))) )).
% 12.21/12.45 cnf(matrix-3310, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6973)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6973 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3311, plain, ( ( _u6974 != 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), _u6974)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3312, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6976) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6976 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3313, plain, ( ( _u6977 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6977) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3314, 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)) )).
% 12.21/12.45 cnf(matrix-3315, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6980)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6982)) | ( _u6980 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3316, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6980)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6982)) | ( _u6982 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3317, plain, ( ( _u6981 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6983 != 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), _u6981)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6983)) )).
% 12.21/12.45 cnf(matrix-3318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6988), _u6990)) | ( _u6990 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6988), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem139(_u6990, _u6988))))) )).
% 12.21/12.45 cnf(matrix-3319, plain, ( ( _u6991 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6989), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u6985)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6989), _u6991)) )).
% 12.21/12.45 cnf(matrix-3320, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u6992)) = 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), _u6992))) )).
% 12.21/12.45 cnf(matrix-3321, 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, _u6993)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3322, 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, _u6994))))) )).
% 12.21/12.45 cnf(matrix-3323, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6997)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6997), _u6999)) )).
% 12.21/12.45 cnf(matrix-3324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6998), _u7000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6998)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7000))) )).
% 12.21/12.45 cnf(matrix-3325, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7001)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7002)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7001), _u7002))) )).
% 12.21/12.45 cnf(matrix-3326, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7003)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7004)), _u7005)) = 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), _u7003), _u7004))), _u7005)) )).
% 12.21/12.45 cnf(matrix-3327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7008)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7010))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7008), _u7010)) )).
% 12.21/12.45 cnf(matrix-3328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7009), _u7011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7009)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7011))) )).
% 12.21/12.45 cnf(matrix-3329, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7012), _u7013)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7012)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7013))) )).
% 12.21/12.45 cnf(matrix-3330, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7014)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7015)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7014), _u7015))) )).
% 12.21/12.45 cnf(matrix-3331, 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)) )).
% 12.21/12.45 cnf(matrix-3332, 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))) )).
% 12.21/12.45 cnf(matrix-3333, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7016)), _u7017) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7016), _u7017))) )).
% 12.21/12.45 cnf(matrix-3334, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7018), _u7019)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7018)), _u7019)) )).
% 12.21/12.45 cnf(matrix-3335, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7020, tc_Nat_Onat), _u7021), _u7022)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7020, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7020), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7021)), _u7022)) )).
% 12.21/12.45 cnf(matrix-3336, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7023, tc_Nat_Onat), _u7024), _u7025)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7023, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7023), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7024)), _u7025)) )).
% 12.21/12.45 cnf(matrix-3337, 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)) )).
% 12.21/12.45 cnf(matrix-3338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7026), _u7027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7028)) | 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), _u7028)), _u7026)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7028)), _u7027))) )).
% 12.21/12.45 cnf(matrix-3339, 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), _u7030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7030)) )).
% 12.21/12.45 cnf(matrix-3340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7031)) | 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), _u7031))) )).
% 12.21/12.45 cnf(matrix-3341, plain, ( ~class_Rings_Olinordered__semidom(_u7032) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7032), c_Groups_Ozero__class_Ozero(_u7032)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7032), _u7033))) )).
% 12.21/12.45 cnf(matrix-3342, plain, ( ~class_Rings_Olinordered__semidom(_u7034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7034), c_Groups_Ozero__class_Ozero(_u7034)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7034), _u7035))) )).
% 12.21/12.45 cnf(matrix-3343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7036), _u7037)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7037)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7036)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7037), _u7036))) )).
% 12.21/12.45 cnf(matrix-3344, plain, ( ~class_Rings_Olinordered__semidom(_u7038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7038), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7038), _u7039)), c_Groups_Ozero__class_Ozero(_u7038))) )).
% 12.21/12.45 cnf(matrix-3345, plain, ( ~class_Rings_Osemiring__1(_u7040) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7040), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u7040)) )).
% 12.21/12.45 cnf(matrix-3346, plain, ( ~class_Rings_Olinordered__semidom(_u7041) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7041), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7041), _u7042)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7041), _u7043))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7042), _u7043)) )).
% 12.21/12.45 cnf(matrix-3347, plain, ( ~class_Rings_Olinordered__semidom(_u7044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7045), _u7046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7044), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7044), _u7045)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7044), _u7046))) )).
% 12.21/12.45 cnf(matrix-3348, plain, ( ~class_Rings_Olinordered__semidom(_u7047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7047), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7047), _u7048)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7047), _u7049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7048), _u7049)) )).
% 12.21/12.45 cnf(matrix-3349, plain, ( ~class_Rings_Olinordered__semidom(_u7047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7048), _u7049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7047), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7047), _u7048)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7047), _u7049))) )).
% 12.21/12.45 cnf(matrix-3350, plain, ( ~class_Rings_Olinordered__semidom(_u7050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7050), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7050), _u7051)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7050), _u7052))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7051), _u7052)) )).
% 12.21/12.45 cnf(matrix-3351, plain, ( ~class_Rings_Olinordered__semidom(_u7050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7051), _u7052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7050), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7050), _u7051)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7050), _u7052))) )).
% 12.21/12.45 cnf(matrix-3352, plain, ( ~class_Rings_Osemiring__1(_u7053) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7053), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7054), _u7055)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7053), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7053), _u7054)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7053), _u7055))) )).
% 12.21/12.45 cnf(matrix-3353, plain, ( ~class_Rings_Osemiring__1(_u7056) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7057), _u7058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7056), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7056), _u7057)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7056), _u7058))) )).
% 12.21/12.45 cnf(matrix-3354, plain, ( ~class_Rings_Osemiring__1(_u7059) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7059), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u7059)) )).
% 12.21/12.45 cnf(matrix-3355, plain, ( ~class_Rings_Osemiring__1(_u7060) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7060), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7061), _u7062)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7060), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7060), _u7061)), _u7062)) )).
% 12.21/12.45 cnf(matrix-3356, plain, ( ~class_Rings_Osemiring__1(_u7063) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7063), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7064, tc_Nat_Onat), _u7065), _u7066)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7064, _u7063), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7063, _u7064), c_Nat_Osemiring__1__class_Oof__nat(_u7063)), _u7065)), _u7066)) )).
% 12.21/12.45 cnf(matrix-3357, plain, ( ~class_Nat_Osemiring__char__0(_u7067) | c_Fun_Oinj__on(tc_Nat_Onat, _u7067, c_Nat_Osemiring__1__class_Oof__nat(_u7067), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3358, plain, ( ~class_Rings_Oring__1(_u7068) | hBOOL(hAPP(hAPP(c_member(_u7068), c_Groups_Ozero__class_Ozero(_u7068)), c_Int_Oring__1__class_OInts(_u7068))) )).
% 12.21/12.45 cnf(matrix-3359, plain, ( ~class_Rings_Oring__1(_u7069) | ~hBOOL(hAPP(hAPP(c_member(_u7069), _u7070), c_Int_Oring__1__class_OInts(_u7069))) | ~hBOOL(hAPP(hAPP(c_member(_u7069), _u7071), c_Int_Oring__1__class_OInts(_u7069))) | hBOOL(hAPP(hAPP(c_member(_u7069), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7069), _u7070), _u7071)), c_Int_Oring__1__class_OInts(_u7069))) )).
% 12.21/12.45 cnf(matrix-3360, plain, ( ~class_Rings_Oring__1(_u7072) | ~hBOOL(hAPP(hAPP(c_member(_u7072), _u7073), c_Int_Oring__1__class_OInts(_u7072))) | ~hBOOL(hAPP(hAPP(c_member(_u7072), _u7074), c_Int_Oring__1__class_OInts(_u7072))) | hBOOL(hAPP(hAPP(c_member(_u7072), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7072), _u7073), _u7074)), c_Int_Oring__1__class_OInts(_u7072))) )).
% 12.21/12.45 cnf(matrix-3361, plain, ( ~class_Rings_Oring__1(_u7075) | ~hBOOL(hAPP(hAPP(c_member(_u7075), _u7076), c_Int_Oring__1__class_OInts(_u7075))) | ~hBOOL(hAPP(hAPP(c_member(_u7075), _u7077), c_Int_Oring__1__class_OInts(_u7075))) | hBOOL(hAPP(hAPP(c_member(_u7075), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7075), _u7076), _u7077)), c_Int_Oring__1__class_OInts(_u7075))) )).
% 12.21/12.45 cnf(matrix-3362, plain, ( ~class_Rings_Oring__1(_u7078) | hBOOL(hAPP(hAPP(c_member(_u7078), c_Groups_Oone__class_Oone(_u7078)), c_Int_Oring__1__class_OInts(_u7078))) )).
% 12.21/12.45 cnf(matrix-3363, plain, ( ~class_Rings_Oring__1(_u7079) | ~hBOOL(hAPP(hAPP(c_member(_u7079), _u7080), c_Int_Oring__1__class_OInts(_u7079))) | hBOOL(hAPP(hAPP(c_member(_u7079), hAPP(c_Groups_Ouminus__class_Ouminus(_u7079), _u7080)), c_Int_Oring__1__class_OInts(_u7079))) )).
% 12.21/12.45 cnf(matrix-3364, plain, ( ~class_Rings_Oring__1(_u7081) | ~hBOOL(hAPP(hAPP(c_member(_u7081), _u7082), c_Int_Oring__1__class_OInts(_u7081))) | hBOOL(hAPP(hAPP(c_member(_u7081), hAPP(hAPP(c_Power_Opower__class_Opower(_u7081), _u7082), _u7083)), c_Int_Oring__1__class_OInts(_u7081))) )).
% 12.21/12.45 cnf(matrix-3365, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7084) | ~class_Rings_Osemiring__1(_u7084) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7084), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7085, tc_Nat_Onat), _u7086), _u7087)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7085, _u7084), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7084, _u7085), c_Nat_Osemiring__1__class_Oof__nat(_u7084)), _u7086)), _u7087)) )).
% 12.21/12.45 cnf(matrix-3366, plain, ( ~class_Rings_Osemiring__1(_u7088) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7088), hAPP(c_Nat_OSuc, _u7089)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7088), c_Groups_Oone__class_Oone(_u7088)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7088), _u7089))) )).
% 12.21/12.45 cnf(matrix-3367, plain, ( ~class_Rings_Oring__1(_u7090) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7091), _u7092)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7090), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7092), _u7091)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7090), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7090), _u7092)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7090), _u7091))) )).
% 12.21/12.45 cnf(matrix-3368, plain, ( ~class_Rings_Osemiring__1(_u7093) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7094, _u7093), hAPP(c_COMBK(_u7093, _u7094), _u7095)), _u7096) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7093), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7093), hAPP(c_Finite__Set_Ocard(_u7094), _u7096))), _u7095)) )).
% 12.21/12.45 cnf(matrix-3369, plain, ( ~class_Rings_Olinordered__semidom(_u7097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7097), c_Groups_Ozero__class_Ozero(_u7097)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7097), _u7098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7098)) )).
% 12.21/12.45 cnf(matrix-3370, plain, ( ~class_Rings_Olinordered__semidom(_u7097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7097), c_Groups_Ozero__class_Ozero(_u7097)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7097), _u7098))) )).
% 12.21/12.45 cnf(matrix-3371, plain, ( ~class_Int_Oring__char__0(_u7099) | ~hBOOL(hAPP(hAPP(c_member(_u7099), _u7100), c_Int_Oring__1__class_OInts(_u7099))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7099), _u7100), _u7100) != c_Groups_Ozero__class_Ozero(_u7099)) | ( _u7100 = c_Groups_Ozero__class_Ozero(_u7099)) )).
% 12.21/12.45 cnf(matrix-3372, plain, ( ~class_Int_Oring__char__0(_u7099) | ~hBOOL(hAPP(hAPP(c_member(_u7099), _u7100), c_Int_Oring__1__class_OInts(_u7099))) | ( _u7100 != c_Groups_Ozero__class_Ozero(_u7099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7099), _u7100), _u7100) = c_Groups_Ozero__class_Ozero(_u7099)) )).
% 12.21/12.45 cnf(matrix-3373, plain, ( ~class_Int_Oring__char__0(_u7101) | ~hBOOL(hAPP(hAPP(c_member(_u7101), _u7102), c_Int_Oring__1__class_OInts(_u7101))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7101), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7101), c_Groups_Oone__class_Oone(_u7101)), _u7102)), _u7102) != c_Groups_Ozero__class_Ozero(_u7101)) )).
% 12.21/12.45 cnf(matrix-3374, plain, ( ~class_Rings_Osemiring__1(_u7103) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7103), _u7104) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7103, hAPP(hAPP(c_COMBC(_u7103, _u7103, _u7103), c_Groups_Oplus__class_Oplus(_u7103)), c_Groups_Oone__class_Oone(_u7103)), _u7104, c_Groups_Ozero__class_Ozero(_u7103))) )).
% 12.21/12.45 cnf(matrix-3375, plain, ( ~hBOOL(hAPP(_u7108, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7110), _u7112)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7112), _u7110)) | hBOOL(hAPP(_u7108, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7110)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7112)))) )).
% 12.21/12.45 cnf(matrix-3376, plain, ( ~hBOOL(hAPP(_u7108, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7110), _u7112)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7110), _u7112)) | hBOOL(hAPP(_u7108, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3377, plain, ( hBOOL(hAPP(_u7109, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7111), _u7113)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7113), _u7111)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7111), _u7113)) )).
% 12.21/12.45 cnf(matrix-3378, plain, ( hBOOL(hAPP(_u7109, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7111), _u7113)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7113), _u7111)) | ~hBOOL(hAPP(_u7109, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3379, plain, ( hBOOL(hAPP(_u7109, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7111), _u7113)))) | ~hBOOL(hAPP(_u7109, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7111)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7113)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7111), _u7113)) )).
% 12.21/12.45 cnf(matrix-3380, plain, ( hBOOL(hAPP(_u7109, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7111), _u7113)))) | ~hBOOL(hAPP(_u7109, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7111)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7113)))) | ~hBOOL(hAPP(_u7109, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3381, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7114)), _u7115) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7114), _u7115))) )).
% 12.21/12.45 cnf(matrix-3382, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u7117) | ~class_Rings_Osemiring__1(_u7117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7117), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7118, _u7117), _u7120), _u7119)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7117), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7117), hAPP(c_Finite__Set_Ocard(_u7118), _u7119))), _u7121))) | hBOOL(hAPP(hAPP(c_member(_u7118), skolem140(_u7121, _u7120, _u7119, _u7118, _u7117)), _u7119)) )).
% 12.21/12.45 cnf(matrix-3383, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u7117) | ~class_Rings_Osemiring__1(_u7117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7117), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7118, _u7117), _u7120), _u7119)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7117), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7117), hAPP(c_Finite__Set_Ocard(_u7118), _u7119))), _u7121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7117), hAPP(_u7120, skolem140(_u7121, _u7120, _u7119, _u7118, _u7117))), _u7121)) )).
% 12.21/12.45 cnf(matrix-3384, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7122)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7123)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7122), _u7123))) )).
% 12.21/12.45 cnf(matrix-3385, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7127), _u7129)) | ( 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)), _u7127)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7131), _u7129)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7131), _u7127)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7129), _u7127))) )).
% 12.21/12.45 cnf(matrix-3386, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7128), _u7130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7132), _u7130)) | ( 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)), _u7128)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7132), _u7130)) = 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)))) )).
% 12.21/12.45 cnf(matrix-3387, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7128), _u7130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7132), _u7130)) | ( 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)), _u7128)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7132), _u7130)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3388, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7133), _u7134))) )).
% 12.21/12.45 cnf(matrix-3389, 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), _u7135))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7136))) )).
% 12.21/12.45 cnf(matrix-3390, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3391, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7142), _u7144)) | ( _u7144 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7142), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem141(_u7144, _u7142)))) )).
% 12.21/12.45 cnf(matrix-3392, plain, ( ( _u7145 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7143), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7143), _u7145)) )).
% 12.21/12.45 cnf(matrix-3393, plain, ( hBOOL(hAPP(_u7151, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7147))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem142(_u7151))) )).
% 12.21/12.45 cnf(matrix-3394, plain, ( hBOOL(hAPP(_u7151, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7147))) | ~hBOOL(hAPP(_u7151, skolem142(_u7151))) )).
% 12.21/12.45 cnf(matrix-3395, plain, ( ~hBOOL(hAPP(_u7152, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem143(_u7152)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7149)) | hBOOL(hAPP(_u7152, _u7149)) )).
% 12.21/12.45 cnf(matrix-3396, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7153)) | ~hBOOL(hAPP(_u7158, _u7153)) | hBOOL(hAPP(_u7158, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem144(_u7158)))) )).
% 12.21/12.45 cnf(matrix-3397, plain, ( ~hBOOL(hAPP(_u7159, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7155))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem145(_u7159))) )).
% 12.21/12.45 cnf(matrix-3398, plain, ( ~hBOOL(hAPP(_u7159, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7155))) | hBOOL(hAPP(_u7159, skolem145(_u7159))) )).
% 12.21/12.45 cnf(matrix-3399, 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), _u7160))) )).
% 12.21/12.45 cnf(matrix-3400, 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), _u7161))) )).
% 12.21/12.45 cnf(matrix-3401, 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), _u7162))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3402, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7165) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7167)) | ( _u7165 = _u7167) )).
% 12.21/12.45 cnf(matrix-3403, plain, ( ( _u7166 != _u7168) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7166) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7168)) )).
% 12.21/12.45 cnf(matrix-3404, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7169)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7170)))) )).
% 12.21/12.45 cnf(matrix-3405, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7173) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7175)) | ( _u7173 = _u7175) )).
% 12.21/12.45 cnf(matrix-3406, plain, ( ( _u7174 != _u7176) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7174) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7176)) )).
% 12.21/12.45 cnf(matrix-3407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7179), _u7181)) | 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)), _u7179)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7181))) )).
% 12.21/12.45 cnf(matrix-3408, 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)), _u7180)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7180), _u7182)) )).
% 12.21/12.45 cnf(matrix-3409, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7185), _u7187)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7185)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7187))) )).
% 12.21/12.45 cnf(matrix-3410, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7186)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7188))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7186), _u7188)) )).
% 12.21/12.45 cnf(matrix-3411, plain, ( ( _u7191 != _u7193) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7191) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7193)) )).
% 12.21/12.45 cnf(matrix-3412, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7192) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7194)) | ( _u7192 = _u7194) )).
% 12.21/12.45 cnf(matrix-3413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7197), _u7199)) | 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)), _u7197)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7199))) )).
% 12.21/12.45 cnf(matrix-3414, 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)), _u7198)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7198), _u7200)) )).
% 12.21/12.45 cnf(matrix-3415, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7203), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7205), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7203), _u7205)) | ( _u7203 = _u7205) )).
% 12.21/12.45 cnf(matrix-3416, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7204), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7206), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7204), _u7206)) )).
% 12.21/12.45 cnf(matrix-3417, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7204), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7206), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u7204 != _u7206) )).
% 12.21/12.45 cnf(matrix-3418, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7207), _u7208)) | ( _u7207 = _u7208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7208), _u7207)) )).
% 12.21/12.45 cnf(matrix-3419, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7209)) = _u7209) )).
% 12.21/12.45 cnf(matrix-3420, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7210), _u7211) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7211), _u7210)) )).
% 12.21/12.45 cnf(matrix-3421, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7212), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7213), _u7214)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7212), _u7214))) )).
% 12.21/12.45 cnf(matrix-3422, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7215), _u7216)), _u7217) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7215), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7216), _u7217))) )).
% 12.21/12.45 cnf(matrix-3423, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7218), _u7219) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7218), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7219))) )).
% 12.21/12.45 cnf(matrix-3424, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7220), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7221)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7220), _u7221)) )).
% 12.21/12.45 cnf(matrix-3425, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7222), _u7223)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7222)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7223))) )).
% 12.21/12.45 cnf(matrix-3426, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7224), _u7225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7224), _u7226)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7225), _u7226))) )).
% 12.21/12.45 cnf(matrix-3427, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7227), _u7228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7229), _u7230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7227), _u7229)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7228), _u7230))) )).
% 12.21/12.45 cnf(matrix-3428, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7233), _u7235)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7233), _u7235)) )).
% 12.21/12.45 cnf(matrix-3429, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7233), _u7235)) | ( _u7233 != _u7235) )).
% 12.21/12.45 cnf(matrix-3430, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7234), _u7236)) | ( _u7234 = _u7236) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7234), _u7236)) )).
% 12.21/12.45 cnf(matrix-3431, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7237)), _u7237) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3432, 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))) )).
% 12.21/12.45 cnf(matrix-3433, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7238), _u7238)) )).
% 12.21/12.45 cnf(matrix-3434, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7239), _u7240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7240), _u7239)) )).
% 12.21/12.45 cnf(matrix-3435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7242)) | 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), _u7241), _u7242))) )).
% 12.21/12.45 cnf(matrix-3436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7243), _u7244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7245), _u7243)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7245), _u7244))) )).
% 12.21/12.45 cnf(matrix-3437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7246), _u7247)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7247), _u7248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7246), _u7248)) )).
% 12.21/12.45 cnf(matrix-3438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7249), _u7250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7250), _u7249)) | ( _u7249 = _u7250) )).
% 12.21/12.45 cnf(matrix-3439, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7251), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u7251) )).
% 12.21/12.45 cnf(matrix-3440, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7252) = _u7252) )).
% 12.21/12.45 cnf(matrix-3441, 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)) )).
% 12.21/12.45 cnf(matrix-3442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7255), _u7257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7255), _u7257)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7256), _u7258)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7256), _u7258)) )).
% 12.21/12.45 cnf(matrix-3444, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3445, 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)), _u7259)), _u7259) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3446, 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))) )).
% 12.21/12.45 cnf(matrix-3447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7262), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7264), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7262), _u7264)) )).
% 12.21/12.45 cnf(matrix-3448, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7263), _u7265)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7263), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7265), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.45 cnf(matrix-3449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7267)) )).
% 12.21/12.45 cnf(matrix-3450, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7268)) )).
% 12.21/12.45 cnf(matrix-3451, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7271), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7273), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7271), _u7273)) )).
% 12.21/12.45 cnf(matrix-3452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7272), _u7274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7272), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7274), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.45 cnf(matrix-3453, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7277), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7277), _u7279)) )).
% 12.21/12.45 cnf(matrix-3454, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7278), _u7280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7278), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7280)) )).
% 12.21/12.45 cnf(matrix-3455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7281)) | 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)), _u7281))) )).
% 12.21/12.45 cnf(matrix-3456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7282), _u7283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7282), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7283)) )).
% 12.21/12.45 cnf(matrix-3457, 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)), _u7285)), _u7285)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7285), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3458, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7286), 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)), _u7286)), _u7286)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3459, 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))) )).
% 12.21/12.45 cnf(matrix-3460, plain, ( ~class_Orderings_Olinorder(_u7287) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7287, _u7288), _u7289) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7287, _u7290), _u7291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7287), _u7288), _u7289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7287), _u7290), _u7291)) | ( _u7289 = _u7291) )).
% 12.21/12.45 cnf(matrix-3461, plain, ( ~class_Orderings_Olinorder(_u7292) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7292, _u7293), _u7294) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7292, _u7295), _u7296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7292), _u7293), _u7294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7292), _u7295), _u7296)) | ( _u7293 = _u7295) )).
% 12.21/12.45 cnf(matrix-3462, plain, ( ~class_Orderings_Olinorder(_u7297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7298), _u7299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7300), _u7301)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7298), _u7299) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7300), _u7301)) | ( _u7298 = _u7300) )).
% 12.21/12.45 cnf(matrix-3463, plain, ( ~class_Orderings_Olinorder(_u7297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7298), _u7299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7300), _u7301)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7298), _u7299) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7300), _u7301)) | ( _u7299 = _u7301) )).
% 12.21/12.45 cnf(matrix-3464, plain, ( ~class_Orderings_Olinorder(_u7297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7298), _u7299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7297), _u7300), _u7301)) | ( _u7298 != _u7300) | ( _u7299 != _u7301) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7298), _u7299) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7297, _u7300), _u7301)) )).
% 12.21/12.45 cnf(matrix-3465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7302), _u7303)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7302), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7303), _u7304)) = 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, _u7302), _u7303)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7303), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7303), _u7304)))) )).
% 12.21/12.45 cnf(matrix-3466, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7305), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3467, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7306) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7306)) )).
% 12.21/12.45 cnf(matrix-3468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7307), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7308), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7308), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7307))))) | ( _u7307 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7308), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7308), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7307)))) )).
% 12.21/12.45 cnf(matrix-3469, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7309), _u7310)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7310), _u7309)) )).
% 12.21/12.45 cnf(matrix-3470, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7311), _u7312)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7311)), hAPP(c_Nat_OSuc, _u7312))) )).
% 12.21/12.45 cnf(matrix-3471, plain, ( ~class_Orderings_Oorder(_u7313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7313), _u7314), _u7315)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7313, _u7315), _u7314) = c_Orderings_Obot__class_Obot(tc_fun(_u7313, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3472, plain, ( ~class_Orderings_Oorder(_u7316) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7316, _u7317), _u7318) != c_Orderings_Obot__class_Obot(tc_fun(_u7316, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7316), _u7317), _u7318)) )).
% 12.21/12.45 cnf(matrix-3473, plain, ( ~class_Orderings_Oorder(_u7316) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7316), _u7317), _u7318)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7316, _u7317), _u7318) = c_Orderings_Obot__class_Obot(tc_fun(_u7316, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3474, plain, ( ~class_Orderings_Oorder(_u7319) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7319, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7319, _u7320), _u7321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7319), _u7320), _u7321)) )).
% 12.21/12.45 cnf(matrix-3475, plain, ( ~class_Orderings_Oorder(_u7319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7319), _u7320), _u7321)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7319, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7319, _u7320), _u7321)) )).
% 12.21/12.45 cnf(matrix-3476, plain, ( ~class_Orderings_Olinorder(_u7322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7322, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7322, _u7323), _u7324)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7322, _u7325), _u7326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7324), _u7323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7325), _u7323)) )).
% 12.21/12.45 cnf(matrix-3477, plain, ( ~class_Orderings_Olinorder(_u7322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7322, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7322, _u7323), _u7324)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7322, _u7325), _u7326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7324), _u7323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7324), _u7326)) )).
% 12.21/12.45 cnf(matrix-3478, plain, ( ~class_Groups_Ocomm__monoid__add(_u7327) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7327), _u7328), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7329)), hAPP(c_Nat_OSuc, _u7330))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7327), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7327, tc_Nat_Onat), _u7328), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7329), _u7330))) )).
% 12.21/12.45 cnf(matrix-3479, plain, ( ~class_Orderings_Olinorder(_u7331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7331), _u7332), _u7333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7331), _u7333), _u7334)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7331, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7331, _u7332), _u7333)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7331, _u7333), _u7334)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7331, _u7332), _u7334)) )).
% 12.21/12.45 cnf(matrix-3480, plain, ( ~class_Groups_Ocomm__monoid__add(_u7335) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7335), _u7336), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7337), _u7338)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7338))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7335), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7335, tc_Nat_Onat), _u7336), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7338))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7337), _u7339))) )).
% 12.21/12.45 cnf(matrix-3481, plain, ( ~class_Orderings_Olinorder(_u7340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7340), _u7341), _u7342)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7340, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7340, _u7341), _u7343)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7340, _u7341), _u7342)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7340, _u7342), _u7343)) )).
% 12.21/12.45 cnf(matrix-3482, plain, ( ~class_Orderings_Oorder(_u7344) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7344, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7344, _u7345), _u7346)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7344, _u7346), _u7347)) = c_Orderings_Obot__class_Obot(tc_fun(_u7344, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3483, 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)), _u7348)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7349), _u7350)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7349), _u7348)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7350), _u7348))) )).
% 12.21/12.45 cnf(matrix-3484, plain, ( ~class_Groups_Ocomm__monoid__add(_u7351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7352), _u7353)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7353), _u7354)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7351), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7351), _u7355), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7352), _u7353))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7351), _u7355), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7353), _u7354))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7351), _u7355), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7352), _u7354))) )).
% 12.21/12.45 cnf(matrix-3485, plain, ( ~class_Groups_Oab__group__add(_u7356) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7357), _u7358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7358), _u7359)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7356), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7356), _u7360), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7357), _u7359))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7356), _u7360), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7357), _u7358))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7356), _u7360), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7358), _u7359))) )).
% 12.21/12.45 cnf(matrix-3486, plain, ( ~class_Rings_Osemiring__1(_u7361) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7361, _u7362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7363) = _u7363) )).
% 12.21/12.45 cnf(matrix-3487, plain, ( ~class_Rings_Osemiring__1(_u7364) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7364, _u7365, hAPP(c_Nat_OSuc, _u7366), _u7367) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7364, _u7365, _u7366, hAPP(_u7365, _u7367))) )).
% 12.21/12.45 cnf(matrix-3488, 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))) )).
% 12.21/12.45 cnf(matrix-3489, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7368), hAPP(c_Nat_OSuc, _u7368)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7368), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-3490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7371)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7373))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7371), _u7373)) )).
% 12.21/12.45 cnf(matrix-3491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7372), _u7374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7372)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7374))) )).
% 12.21/12.45 cnf(matrix-3492, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7375)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7376)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7375), _u7376))) )).
% 12.21/12.45 cnf(matrix-3493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7379)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7379), _u7381)) )).
% 12.21/12.45 cnf(matrix-3494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7380), _u7382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7380)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7382))) )).
% 12.21/12.45 cnf(matrix-3495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7384)) | 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), _u7383), _u7384))) )).
% 12.21/12.45 cnf(matrix-3496, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7385, 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(_u7385, tc_HOL_Obool)), tc_fun(_u7385, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u7385, tc_HOL_Obool)), tc_fun(_u7385, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7385, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u7386)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7385, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7386)) )).
% 12.21/12.45 cnf(matrix-3497, 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))) )).
% 12.21/12.45 cnf(matrix-3498, plain, ( ~class_Orderings_Olinorder(_u7387) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7387, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7387, _u7388), _u7389)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7387, _u7390), _u7391)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7387, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7387), _u7388), _u7390)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7387), _u7389), _u7391))) )).
% 12.21/12.45 cnf(matrix-3499, plain, ( ~class_Orderings_Olinorder(_u7392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7392), _u7393), _u7394)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7392, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7392), _u7393)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7392, _u7393), _u7394)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7392), _u7394)) )).
% 12.21/12.45 cnf(matrix-3500, plain, ( ~class_Orderings_Oorder(_u7395) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7395, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7395), _u7396)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7395, _u7396), _u7397)) = c_Orderings_Obot__class_Obot(tc_fun(_u7395, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3501, plain, ( ~class_Groups_Ocomm__monoid__add(_u7398) | ( hAPP(_u7399, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u7398)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7398), _u7399), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7400)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7398), _u7399), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7400))) )).
% 12.21/12.45 cnf(matrix-3502, plain, ( ~class_Groups_Ocomm__monoid__add(_u7401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7402), _u7403)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7401), _u7404), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7402), _u7403)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7401), hAPP(_u7404, _u7402)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7401), _u7404), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7402)), _u7403)))) )).
% 12.21/12.45 cnf(matrix-3503, 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)))) )).
% 12.21/12.45 cnf(matrix-3504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7405)) | 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), _u7405), _u7406))) )).
% 12.21/12.45 cnf(matrix-3505, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7409), _u7411)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7409), hAPP(c_Nat_OSuc, _u7411)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7411), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7409), _u7411))) )).
% 12.21/12.45 cnf(matrix-3506, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7410), _u7412)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7410), hAPP(c_Nat_OSuc, _u7412)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3507, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7413) = 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)), _u7413))) )).
% 12.21/12.45 cnf(matrix-3508, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u7415)) | 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)), _u7415))) )).
% 12.21/12.45 cnf(matrix-3509, 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)), _u7416))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u7416)) )).
% 12.21/12.45 cnf(matrix-3510, plain, ( ~class_Groups_Ocomm__monoid__add(_u7417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7418), _u7419)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7417), _u7420), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7419), hAPP(c_Nat_OSuc, _u7418))) = c_Groups_Ozero__class_Ozero(_u7417)) )).
% 12.21/12.45 cnf(matrix-3511, plain, ( ~class_Groups_Ocomm__monoid__add(_u7417) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7418), _u7419)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7417), _u7420), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7419), hAPP(c_Nat_OSuc, _u7418))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7417), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7417), _u7420), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7419), _u7418))), hAPP(_u7420, _u7418))) )).
% 12.21/12.45 cnf(matrix-3512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7421)) | ( _u7421 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7421), _u7423))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7423), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7424)) | ( _u7424 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7425), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7424), _u7426))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7425), _u7424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7426)) )).
% 12.21/12.45 cnf(matrix-3514, 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), _u7427), _u7428)), _u7429))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7429), _u7427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7428)) )).
% 12.21/12.45 cnf(matrix-3515, 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), _u7430), _u7431)), _u7432)), 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)), _u7432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7431), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3516, 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), _u7433), _u7434)), _u7435)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7433), _u7436)), _u7437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7435), _u7433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7437), _u7433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7434), _u7436)) )).
% 12.21/12.45 cnf(matrix-3517, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7438), _u7439)), _u7440) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7441), _u7442)), _u7443)) | ~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), _u7441), _u7442)), _u7443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7443), _u7441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7441), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7439), _u7442)) )).
% 12.21/12.45 cnf(matrix-3518, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7444), _u7445))) )).
% 12.21/12.45 cnf(matrix-3519, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-3520, 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)), _u7446))) )).
% 12.21/12.45 cnf(matrix-3521, 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)), _u7447)), 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), _u7448), _u7447))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7447), _u7448)) )).
% 12.21/12.45 cnf(matrix-3522, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7449), _u7450)), _u7451) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7452), _u7453)), _u7454)) | ~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), _u7452), _u7453)), _u7454)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7451), _u7449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7452), _u7449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7453), _u7450)) )).
% 12.21/12.45 cnf(matrix-3523, 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), _u7455), _u7456)), _u7457)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7455), _u7458)), _u7459))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7459), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7455), _u7459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7455), _u7457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7458), _u7456)) )).
% 12.21/12.45 cnf(matrix-3524, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7461), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7466))) | hBOOL(hAPP(_u7468, _u7461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem146(_u7468, _u7466)), _u7466)) )).
% 12.21/12.45 cnf(matrix-3525, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7461), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7466))) | hBOOL(hAPP(_u7468, _u7461)) | ~hBOOL(hAPP(_u7468, skolem146(_u7468, _u7466))) )).
% 12.21/12.45 cnf(matrix-3526, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7463), _u7467)) | hBOOL(hAPP(_u7469, _u7463)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem147(_u7469, _u7467)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7467))) )).
% 12.21/12.45 cnf(matrix-3527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7463), _u7467)) | hBOOL(hAPP(_u7469, _u7463)) | ~hBOOL(hAPP(_u7469, skolem147(_u7469, _u7467))) )).
% 12.21/12.45 cnf(matrix-3528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7470), _u7476)) | ~hBOOL(hAPP(_u7478, _u7470)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem148(_u7478, _u7476)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7476))) )).
% 12.21/12.45 cnf(matrix-3529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7470), _u7476)) | ~hBOOL(hAPP(_u7478, _u7470)) | hBOOL(hAPP(_u7478, skolem148(_u7478, _u7476))) )).
% 12.21/12.45 cnf(matrix-3530, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7472), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7477))) | ~hBOOL(hAPP(_u7479, _u7472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem149(_u7479, _u7477)), _u7477)) )).
% 12.21/12.45 cnf(matrix-3531, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7472), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7477))) | ~hBOOL(hAPP(_u7479, _u7472)) | hBOOL(hAPP(_u7479, skolem149(_u7479, _u7477))) )).
% 12.21/12.45 cnf(matrix-3532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7481, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7481, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem150(_u7484, _u7483, _u7482, _u7481))), _u7482)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7481, 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), skolem150(_u7484, _u7483, _u7482, _u7481)), _u7483))), _u7484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7481, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7481, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7482)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7481, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7484))) )).
% 12.21/12.45 cnf(matrix-3533, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7486, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem151(_u7489, _u7488, _u7487, _u7486))), _u7487) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7486, 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), skolem151(_u7489, _u7488, _u7487, _u7486)), _u7488))), _u7489)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7486, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7487) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7486, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7489)) )).
% 12.21/12.45 cnf(matrix-3534, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7491, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem152(_u7493, _u7492, _u7491))), _u7492)), _u7493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7491, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7492)), _u7493)) )).
% 12.21/12.45 cnf(matrix-3535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7496), _u7498)) | ( c_Nat__Transfer_Otsub(_u7498, _u7496) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7498), _u7496)) )).
% 12.21/12.45 cnf(matrix-3536, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7497), _u7499)) | ( c_Nat__Transfer_Otsub(_u7499, _u7497) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3537, plain, ( ~class_Orderings_Olinorder(_u7500) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7500), _u7501), _u7502)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7500, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7500), _u7501), c_Orderings_Obot__class_Obot(tc_fun(_u7500, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7500, _u7501, _u7502)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7500, _u7501), _u7502)) )).
% 12.21/12.45 cnf(matrix-3538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7504)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7504), _u7503)), _u7504) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7504), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7503), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.21/12.45 cnf(matrix-3539, plain, ( ~c_Fun_Oinj__on(_u7506, _u7507, _u7508, _u7509) | ~hBOOL(hAPP(hAPP(c_member(_u7510), _u7513), _u7511)) | ( hAPP(c_Set_Oimage(_u7506, _u7507, _u7508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u7510, tc_fun(_u7506, tc_HOL_Obool)), _u7511), _u7512)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u7510, tc_fun(_u7507, tc_HOL_Obool)), _u7511), hAPP(hAPP(c_COMBB(tc_fun(_u7506, tc_HOL_Obool), tc_fun(_u7507, tc_HOL_Obool), _u7510), c_Set_Oimage(_u7506, _u7507, _u7508)), _u7512))) | hBOOL(hAPP(hAPP(c_member(_u7510), skolem153(_u7513, _u7512, _u7511, _u7510, _u7509, _u7508, _u7507, _u7506)), _u7511)) )).
% 12.21/12.45 cnf(matrix-3540, plain, ( ~c_Fun_Oinj__on(_u7506, _u7507, _u7508, _u7509) | ~hBOOL(hAPP(hAPP(c_member(_u7510), _u7513), _u7511)) | ( hAPP(c_Set_Oimage(_u7506, _u7507, _u7508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u7510, tc_fun(_u7506, tc_HOL_Obool)), _u7511), _u7512)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u7510, tc_fun(_u7507, tc_HOL_Obool)), _u7511), hAPP(hAPP(c_COMBB(tc_fun(_u7506, tc_HOL_Obool), tc_fun(_u7507, tc_HOL_Obool), _u7510), c_Set_Oimage(_u7506, _u7507, _u7508)), _u7512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7506, tc_HOL_Obool)), hAPP(_u7512, skolem153(_u7513, _u7512, _u7511, _u7510, _u7509, _u7508, _u7507, _u7506))), _u7509)) )).
% 12.21/12.45 cnf(matrix-3541, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u7514, _u7515)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u7514)), c_Com_Ocom_Ocom__size(_u7515))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-3542, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7516, _u7517))) )).
% 12.21/12.45 cnf(matrix-3543, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7518, _u7519))) )).
% 12.21/12.45 cnf(matrix-3544, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7520) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3545, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7521)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7522)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7521), _u7522)) )).
% 12.21/12.45 cnf(matrix-3546, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7523), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7524)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7523)), _u7524)) )).
% 12.21/12.45 cnf(matrix-3547, plain, ( ~class_Divides_Osemiring__div(_u7525) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7525), _u7526), c_Groups_Ozero__class_Ozero(_u7525)) = c_Groups_Ozero__class_Ozero(_u7525)) )).
% 12.21/12.45 cnf(matrix-3548, plain, ( ~class_Divides_Osemiring__div(_u7527) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7527), c_Groups_Ozero__class_Ozero(_u7527)), _u7528) = c_Groups_Ozero__class_Ozero(_u7527)) )).
% 12.21/12.45 cnf(matrix-3549, plain, ( ~class_Divides_Osemiring__div(_u7529) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7529), _u7530), c_Groups_Oone__class_Oone(_u7529)) = _u7530) )).
% 12.21/12.45 cnf(matrix-3550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7532)) | 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), _u7531), _u7532))) )).
% 12.21/12.45 cnf(matrix-3551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7533), 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)), _u7534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7533), _u7534)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3552, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7535), 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), _u7536), _u7535)), 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)), _u7536)) )).
% 12.21/12.45 cnf(matrix-3553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7535), 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)), _u7536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7536), _u7535)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7538), _u7537)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7538), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3555, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7538), 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), _u7538), _u7537)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3556, plain, ( ( _u7539 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7539), _u7539) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3557, plain, ( ~class_Divides_Osemiring__div(_u7540) | ( _u7541 != c_Groups_Ozero__class_Ozero(_u7540)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7540), _u7541), _u7542)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7540), _u7541), _u7543)) = c_Groups_Ozero__class_Ozero(_u7540)) )).
% 12.21/12.45 cnf(matrix-3558, plain, ( ~class_Divides_Osemiring__div(_u7540) | ( _u7541 = c_Groups_Ozero__class_Ozero(_u7540)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7540), _u7541), _u7542)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7540), _u7541), _u7543)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7540), _u7542), _u7543)) )).
% 12.21/12.45 cnf(matrix-3559, plain, ( ~class_Divides_Osemiring__div(_u7544) | ( _u7545 = c_Groups_Ozero__class_Ozero(_u7544)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7544), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7544), _u7546), _u7545)), _u7545) = _u7546) )).
% 12.21/12.45 cnf(matrix-3560, plain, ( ~class_Divides_Osemiring__div(_u7547) | ( _u7548 = c_Groups_Ozero__class_Ozero(_u7547)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7547), _u7548), _u7549)), _u7548) = _u7549) )).
% 12.21/12.45 cnf(matrix-3561, plain, ( ~class_Divides_Osemiring__div(_u7550) | ( _u7551 = c_Groups_Ozero__class_Ozero(_u7550)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7550), _u7552), _u7551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7550), _u7553), _u7551)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7550), _u7552), _u7553)) )).
% 12.21/12.45 cnf(matrix-3562, plain, ( ~class_Divides_Osemiring__div(_u7554) | ( _u7555 = c_Groups_Ozero__class_Ozero(_u7554)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7554), _u7555), _u7556)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7554), _u7555), _u7557)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7554), _u7556), _u7557)) )).
% 12.21/12.45 cnf(matrix-3563, plain, ( ~class_Divides_Osemiring__div(_u7558) | ( _u7559 = c_Groups_Ozero__class_Ozero(_u7558)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7558), _u7559), _u7559) = c_Groups_Oone__class_Oone(_u7558)) )).
% 12.21/12.45 cnf(matrix-3564, plain, ( ~class_Orderings_Oorder(_u7560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7560), _u7561), _u7562)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u7560, _u7562, _u7561) = c_Orderings_Obot__class_Obot(tc_fun(_u7560, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3565, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7565), _u7567) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7567 = 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)), _u7565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3566, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7565), _u7567) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7567 = 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)), _u7565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7567), _u7565)) )).
% 12.21/12.45 cnf(matrix-3567, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7565), _u7567) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7567 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7565), _u7567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3568, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7565), _u7567) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7567 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7565), _u7567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7567), _u7565)) )).
% 12.21/12.45 cnf(matrix-3569, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7566), _u7568) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7568 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3570, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7566), _u7568) = 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)), _u7566)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7566), _u7568)) )).
% 12.21/12.45 cnf(matrix-3571, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7566), _u7568) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7566), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7568), _u7566)) )).
% 12.21/12.45 cnf(matrix-3572, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7569)) | ~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), _u7570), _u7569))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7570)) )).
% 12.21/12.45 cnf(matrix-3573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7569)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7570)) | 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), _u7570), _u7569))) )).
% 12.21/12.45 cnf(matrix-3574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7571)) | ~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), _u7572), _u7571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7571), _u7572)) )).
% 12.21/12.45 cnf(matrix-3575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7571), _u7572)) | 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), _u7572), _u7571))) )).
% 12.21/12.45 cnf(matrix-3576, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7573)) | ~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), _u7573), _u7574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7574), _u7573)) )).
% 12.21/12.45 cnf(matrix-3577, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7573)) | ~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), _u7573), _u7574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7574)) )).
% 12.21/12.45 cnf(matrix-3578, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7574), _u7573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7574)) | 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), _u7573), _u7574))) )).
% 12.21/12.45 cnf(matrix-3579, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7576), _u7577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7575), _u7577)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7575), _u7576))) )).
% 12.21/12.45 cnf(matrix-3580, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7578)) | ~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__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7578), _u7579)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3581, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7580), _u7581)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7580), _u7581) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7582), 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), _u7583), _u7582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7582), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7583), 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), _u7583), _u7582))) )).
% 12.21/12.45 cnf(matrix-3584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7584), 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)), _u7585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7584), _u7585)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3585, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7586), 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)), _u7587)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7587), _u7588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7586), _u7587)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7586), _u7588))) )).
% 12.21/12.45 cnf(matrix-3586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7589), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7590), _u7589)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7589), _u7590) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7591), _u7592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7591), _u7593)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7592), _u7593))) )).
% 12.21/12.45 cnf(matrix-3588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7594), _u7595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7596), 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), _u7595), _u7596)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7594), _u7596))) )).
% 12.21/12.45 cnf(matrix-3589, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7597)), _u7598) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7597, _u7598)) )).
% 12.21/12.45 cnf(matrix-3590, plain, ( ~class_Groups_Oordered__ab__group__add(_u7599) | ( hAPP(c_Set_Oimage(_u7599, _u7599, c_Groups_Ouminus__class_Ouminus(_u7599)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7599, _u7600, _u7601)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7599, hAPP(c_Groups_Ouminus__class_Ouminus(_u7599), _u7601), hAPP(c_Groups_Ouminus__class_Ouminus(_u7599), _u7600))) )).
% 12.21/12.45 cnf(matrix-3591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7602), _u7603)), _u7602)) )).
% 12.21/12.45 cnf(matrix-3592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7604)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7606), _u7604)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7605), _u7606)), _u7604)) )).
% 12.21/12.45 cnf(matrix-3593, plain, ( ~class_Divides_Osemiring__div(_u7607) | ( _u7608 = c_Groups_Ozero__class_Ozero(_u7607)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7607), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7607), _u7609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7607), _u7608), _u7610))), _u7608) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7607), _u7610), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7607), _u7609), _u7608))) )).
% 12.21/12.45 cnf(matrix-3594, plain, ( ~class_Divides_Osemiring__div(_u7611) | ( _u7612 = c_Groups_Ozero__class_Ozero(_u7611)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7611), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7611), _u7613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7611), _u7614), _u7612))), _u7612) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7611), _u7614), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7611), _u7613), _u7612))) )).
% 12.21/12.45 cnf(matrix-3595, plain, ( ~class_Divides_Osemiring__div(_u7615) | ( _u7616 = c_Groups_Ozero__class_Ozero(_u7615)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7615), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), _u7617), _u7616)), _u7616) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7615), _u7617), _u7616)), c_Groups_Oone__class_Oone(_u7615))) )).
% 12.21/12.45 cnf(matrix-3596, plain, ( ~class_Divides_Osemiring__div(_u7618) | ( _u7619 = c_Groups_Ozero__class_Ozero(_u7618)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7618), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7618), _u7619), _u7620)), _u7619) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7618), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7618), _u7620), _u7619)), c_Groups_Oone__class_Oone(_u7618))) )).
% 12.21/12.45 cnf(matrix-3597, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3598, plain, ( ~class_Orderings_Oorder(_u7621) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7621, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7621, _u7622, _u7623)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7621, _u7623), _u7624)) = c_Orderings_Obot__class_Obot(tc_fun(_u7621, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3599, plain, ( ~class_Orderings_Olinorder(_u7625) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7625, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7625, _u7626, _u7627)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7625, _u7628, _u7629)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7625, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7625), _u7626), _u7628), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7625), _u7627), _u7629))) )).
% 12.21/12.45 cnf(matrix-3600, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7630, _u7631)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7631), hAPP(c_Nat_OSuc, _u7630))) )).
% 12.21/12.45 cnf(matrix-3601, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7632), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7633) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7632, _u7633)) )).
% 12.21/12.45 cnf(matrix-3602, plain, ( ~hBOOL(hAPP(_u7645, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7647), _u7649))) | ( _u7649 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u7645, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3603, plain, ( ~hBOOL(hAPP(_u7645, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7647), _u7649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7634)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7634), _u7649)) | ( _u7647 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7649), _u7635)), _u7634)) | hBOOL(hAPP(_u7645, _u7635)) )).
% 12.21/12.45 cnf(matrix-3604, plain, ( ~hBOOL(hAPP(_u7645, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7647), _u7649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7649), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7649), _u7636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7636), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7647 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7649), _u7637)), _u7636)) | hBOOL(hAPP(_u7645, _u7637)) )).
% 12.21/12.45 cnf(matrix-3605, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3606, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3607, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3608, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3609, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3610, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3611, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3612, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3613, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3614, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3615, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3616, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3617, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3618, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3619, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3620, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3621, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3622, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3623, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3624, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3625, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3626, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3627, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3628, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3629, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3630, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3631, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3632, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3633, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3634, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ( _u7650 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3635, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3636, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3637, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3638, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3639, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7650), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3640, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3641, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3642, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3643, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3644, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u7650, _u7648, _u7646)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3645, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3646, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3647, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3648, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3649, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem156(_u7650, _u7648, _u7646))), skolem157(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3650, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3651, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, 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)), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3652, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem155(_u7650, _u7648, _u7646)), _u7650)) )).
% 12.21/12.45 cnf(matrix-3653, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7648 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7650), skolem154(_u7650, _u7648, _u7646))), skolem155(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3654, plain, ( hBOOL(hAPP(_u7646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7648), _u7650))) | ~hBOOL(hAPP(_u7646, skolem156(_u7650, _u7648, _u7646))) | ~hBOOL(hAPP(_u7646, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7646, skolem154(_u7650, _u7648, _u7646))) )).
% 12.21/12.45 cnf(matrix-3655, plain, ( ( _u7651 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7652), _u7653)), _u7654)) | ( _u7652 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7651), _u7652) = _u7653) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7652), _u7654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7654), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3656, plain, ( ( _u7651 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7652), _u7653)), _u7654)) | ( _u7652 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7651), _u7652) = _u7653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7654), _u7652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7652)) )).
% 12.21/12.45 cnf(matrix-3657, plain, ( ( _u7651 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7652), _u7653)), _u7654)) | ( _u7652 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7651), _u7652) = _u7653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7654), _u7652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7652), _u7654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7654), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u7655, _u7656))) )).
% 12.21/12.45 cnf(matrix-3659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7657), _u7658)) | ( c_Nat__Transfer_Otsub(_u7658, _u7657) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7658), _u7657)) )).
% 12.21/12.45 cnf(matrix-3660, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7659), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7660)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7659), _u7660))) )).
% 12.21/12.45 cnf(matrix-3661, plain, ( ~class_Orderings_Olinorder(_u7661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7661), _u7662), _u7663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7663), _u7664)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7661, _u7662, _u7663)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7661, _u7663), _u7664)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7661, _u7662, _u7664)) )).
% 12.21/12.46 cnf(matrix-3662, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u7665, _u7666)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u7666)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-3663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7669)) | ( c_SMT_Oz3div(_u7671, _u7669) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7671), _u7669)) )).
% 12.21/12.46 cnf(matrix-3664, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7670)) | ( c_SMT_Oz3div(_u7672, _u7670) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7672), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7670)))) )).
% 12.21/12.46 cnf(matrix-3665, plain, ( ~class_Orderings_Olinorder(_u7673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7673), _u7674), _u7675)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7673, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7673, _u7674, _u7675)), hAPP(hAPP(c_Set_Oinsert(_u7673), _u7675), c_Orderings_Obot__class_Obot(tc_fun(_u7673, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7673, _u7674, _u7675)) )).
% 12.21/12.46 cnf(matrix-3666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7676, tc_HOL_Obool)), _u7677), _u7678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7676, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u7676, _u7677)), c_Predicate_OPowp(_u7676, _u7678))) )).
% 12.21/12.46 cnf(matrix-3667, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7683), _u7685)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7689)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7683, _u7687)), c_Sum__Type_OPlus(_u7683, _u7687, _u7685, _u7689)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7683), _u7685)), hAPP(c_Finite__Set_Ocard(_u7687), _u7689))) )).
% 12.21/12.46 cnf(matrix-3668, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7684, _u7688)), c_Sum__Type_OPlus(_u7684, _u7688, _u7686, _u7690)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7684), _u7686)) )).
% 12.21/12.46 cnf(matrix-3669, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7684, _u7688)), c_Sum__Type_OPlus(_u7684, _u7688, _u7686, _u7690)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7688), _u7690)) )).
% 12.21/12.46 cnf(matrix-3670, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u7691, _u7692)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7691)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7692))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-3671, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7693, _u7694))) )).
% 12.21/12.46 cnf(matrix-3672, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7695, _u7696))) )).
% 12.21/12.46 cnf(matrix-3673, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7698), _u7699)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7697), _u7698)), _u7699)) )).
% 12.21/12.46 cnf(matrix-3674, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7700), _u7701)), _u7700)) )).
% 12.21/12.46 cnf(matrix-3675, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7702), _u7703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7702), _u7704)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7703), _u7704))) )).
% 12.21/12.46 cnf(matrix-3676, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7705), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u7705) )).
% 12.21/12.46 cnf(matrix-3677, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7706), _u7707)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7706), _u7707) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3678, plain, ( ( _u7711 != 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), _u7711), _u7713)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7711), _u7715)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3679, plain, ( ( _u7712 = 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), _u7712), _u7714)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7712), _u7716)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7714), _u7716)) )).
% 12.21/12.46 cnf(matrix-3680, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7717), _u7718)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7717)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7718))) )).
% 12.21/12.46 cnf(matrix-3681, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7719)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7720)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7719), _u7720))) )).
% 12.21/12.46 cnf(matrix-3682, plain, ( ~class_Orderings_Oorder(_u7721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7721), _u7722), _u7723)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u7721, _u7723, _u7722) = c_Orderings_Obot__class_Obot(tc_fun(_u7721, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-3683, plain, ( ~class_Orderings_Oorder(_u7724) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u7724, _u7725, _u7726) != c_Orderings_Obot__class_Obot(tc_fun(_u7724, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7724), _u7725), _u7726)) )).
% 12.21/12.46 cnf(matrix-3684, plain, ( ~class_Orderings_Oorder(_u7724) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7724), _u7725), _u7726)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u7724, _u7725, _u7726) = c_Orderings_Obot__class_Obot(tc_fun(_u7724, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-3685, plain, ( ~class_Orderings_Oorder(_u7727) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7727, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u7727, _u7728, _u7729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7727), _u7728), _u7729)) )).
% 12.21/12.46 cnf(matrix-3686, plain, ( ~class_Orderings_Oorder(_u7727) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7727), _u7728), _u7729)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7727, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7727, _u7728, _u7729)) )).
% 12.21/12.46 cnf(matrix-3687, plain, ( ~class_Orderings_Olinorder(_u7730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7730), _u7731), _u7732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7730), _u7732), _u7733)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7730, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7730, _u7731, _u7732)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7730, _u7732, _u7733)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7730, _u7731, _u7733)) )).
% 12.21/12.46 cnf(matrix-3688, plain, ( ~class_Orderings_Oorder(_u7734) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7734, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7734, _u7735, _u7736)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7734, _u7736, _u7737)) = c_Orderings_Obot__class_Obot(tc_fun(_u7734, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-3689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7738), _u7739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7740), _u7739)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7740), _u7738))) )).
% 12.21/12.46 cnf(matrix-3690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7741)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7741), _u7742)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7741), _u7743)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7742), _u7743)) )).
% 12.21/12.46 cnf(matrix-3691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7744)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7744), _u7745)), _u7744) = _u7745) )).
% 12.21/12.46 cnf(matrix-3692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7746)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7747), _u7746)), _u7746) = _u7747) )).
% 12.21/12.46 cnf(matrix-3693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7749), _u7748)), _u7749)) )).
% 12.21/12.46 cnf(matrix-3694, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7750, _u7751)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7751), _u7750)) )).
% 12.21/12.46 cnf(matrix-3695, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7753), _u7752)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7753), _u7752) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7753), _u7752)), _u7752))) )).
% 12.21/12.46 cnf(matrix-3697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7755), _u7754)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7755), _u7754) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7755), _u7754)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7755), _u7754) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7755), _u7754)), _u7754))) )).
% 12.21/12.46 cnf(matrix-3699, plain, ( ~hBOOL(hAPP(_u7763, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7765), _u7767))) | ( _u7767 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7763, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-3700, plain, ( ~hBOOL(hAPP(_u7763, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7765), _u7767))) | ( _u7767 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7756), _u7767)) | ( _u7765 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7767), _u7757)), _u7756)) | hBOOL(hAPP(_u7763, _u7757)) )).
% 12.21/12.46 cnf(matrix-3701, plain, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ( _u7768 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem159(_u7768, _u7766, _u7764)), _u7768)) )).
% 12.21/12.46 cnf(matrix-3702, plain, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ( _u7768 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7766 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7768), skolem158(_u7768, _u7766, _u7764))), skolem159(_u7768, _u7766, _u7764))) )).
% 12.21/12.46 cnf(matrix-3703, plain, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ( _u7768 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7764, skolem158(_u7768, _u7766, _u7764))) )).
% 12.21/12.46 cnf(matrix-3704, plain, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ~hBOOL(hAPP(_u7764, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7768 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3705, plain, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ~hBOOL(hAPP(_u7764, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem159(_u7768, _u7766, _u7764)), _u7768)) )).
% 12.21/12.46 cnf(matrix-3706, plain, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ~hBOOL(hAPP(_u7764, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7766 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7768), skolem158(_u7768, _u7766, _u7764))), skolem159(_u7768, _u7766, _u7764))) )).
% 12.21/12.46 cnf(matrix-3707, plain, ( hBOOL(hAPP(_u7764, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7766), _u7768))) | ~hBOOL(hAPP(_u7764, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7764, skolem158(_u7768, _u7766, _u7764))) )).
% 12.21/12.46 cnf(matrix-3708, plain, ( ~class_Orderings_Olinorder(_u7769) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7769, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7769, _u7770, _u7771)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7769, _u7772, _u7773)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7769, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7769), _u7770), _u7772), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7769), _u7771), _u7773))) )).
% 12.21/12.46 cnf(matrix-3709, plain, ( ~class_Groups_Oordered__ab__group__add(_u7774) | ( hAPP(c_Set_Oimage(_u7774, _u7774, c_Groups_Ouminus__class_Ouminus(_u7774)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7774, _u7775), _u7776)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7774, hAPP(c_Groups_Ouminus__class_Ouminus(_u7774), _u7776), hAPP(c_Groups_Ouminus__class_Ouminus(_u7774), _u7775))) )).
% 12.21/12.46 cnf(matrix-3710, plain, ( ~class_Groups_Oordered__ab__group__add(_u7777) | ( hAPP(c_Set_Oimage(_u7777, _u7777, c_Groups_Ouminus__class_Ouminus(_u7777)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7777, _u7778, _u7779)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7777, hAPP(c_Groups_Ouminus__class_Ouminus(_u7777), _u7779)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7777), _u7778))) )).
% 12.21/12.46 cnf(matrix-3711, plain, ( ~class_Orderings_Oorder(_u7780) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7780, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7780, _u7781, _u7782)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7780, _u7782, _u7783)) = c_Orderings_Obot__class_Obot(tc_fun(_u7780, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-3712, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7788, _u7790)), c_Sum__Type_OPlus(_u7788, _u7790, _u7792, _u7794))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7788), _u7792)) )).
% 12.21/12.46 cnf(matrix-3713, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7788, _u7790)), c_Sum__Type_OPlus(_u7788, _u7790, _u7792, _u7794))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7790), _u7794)) )).
% 12.21/12.46 cnf(matrix-3714, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7789), _u7793)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7791), _u7795)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7789, _u7791)), c_Sum__Type_OPlus(_u7789, _u7791, _u7793, _u7795))) )).
% 12.21/12.46 cnf(matrix-3715, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7796), _u7797)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7798), _u7799)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7796, _u7798)), c_Sum__Type_OPlus(_u7796, _u7798, _u7797, _u7799))) )).
% 12.21/12.46 cnf(matrix-3716, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7800, _u7801)), c_Sum__Type_OPlus(_u7800, _u7801, _u7802, _u7803))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7800), _u7802)) )).
% 12.21/12.46 cnf(matrix-3717, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7805), _u7807)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7804, _u7805)), c_Sum__Type_OPlus(_u7804, _u7805, _u7806, _u7807))) )).
% 12.21/12.46 cnf(matrix-3718, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7808), _u7809)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7809), _u7808) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7809), _u7808)), _u7808))) )).
% 12.21/12.46 cnf(matrix-3719, plain, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | ( _u7819 = 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), _u7819), skolem160(_u7819, _u7817, _u7815))), _u7817)) )).
% 12.21/12.46 cnf(matrix-3720, plain, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | ( _u7819 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7819), hAPP(c_Nat_OSuc, skolem160(_u7819, _u7817, _u7815))))) )).
% 12.21/12.46 cnf(matrix-3721, plain, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | ( _u7819 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7815, skolem160(_u7819, _u7817, _u7815))) )).
% 12.21/12.46 cnf(matrix-3722, plain, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | hBOOL(hAPP(_u7815, 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), _u7819), skolem160(_u7819, _u7817, _u7815))), _u7817)) )).
% 12.21/12.46 cnf(matrix-3723, plain, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | hBOOL(hAPP(_u7815, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7819), hAPP(c_Nat_OSuc, skolem160(_u7819, _u7817, _u7815))))) )).
% 12.21/12.46 cnf(matrix-3724, plain, ( ~hBOOL(hAPP(_u7815, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7817), _u7819))) | hBOOL(hAPP(_u7815, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u7815, skolem160(_u7819, _u7817, _u7815))) )).
% 12.21/12.46 cnf(matrix-3725, plain, ( hBOOL(hAPP(_u7816, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7818), _u7820))) | ( _u7820 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7816, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-3726, plain, ( hBOOL(hAPP(_u7816, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7818), _u7820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7820), _u7811)), _u7818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7820), hAPP(c_Nat_OSuc, _u7811)))) | ~hBOOL(hAPP(_u7816, _u7811)) )).
% 12.21/12.46 cnf(matrix-3727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7821), _u7822)), _u7823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7821), hAPP(c_Nat_OSuc, _u7822)))) | ( _u7822 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7823), _u7821)) )).
% 12.21/12.46 cnf(matrix-3728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7821)) | ( _u7822 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7823), _u7821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7821), _u7822)), _u7823)) )).
% 12.21/12.46 cnf(matrix-3729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7821)) | ( _u7822 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7823), _u7821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7821), hAPP(c_Nat_OSuc, _u7822)))) )).
% 12.21/12.46 cnf(matrix-3730, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7824), _u7825)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7826), _u7827)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7824, _u7826)), c_Sum__Type_OPlus(_u7824, _u7826, _u7825, _u7827)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7824), _u7825)), hAPP(c_Finite__Set_Ocard(_u7826), _u7827))) )).
% 12.21/12.46 cnf(matrix-3731, plain, ( ~class_Orderings_Olinorder(_u7828) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7828), _u7829), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7828), _u7830), _u7831)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7828, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7828, _u7829, _u7830)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7828, _u7830, _u7831)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7828, _u7829, _u7831)) )).
% 12.21/12.46 cnf(matrix-3732, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u7832, _u7833)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7833)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-3733, plain, ( ( c_Sum__Type_OPlus(_u7834, _u7835, c_Orderings_Otop__class_Otop(tc_fun(_u7834, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7835, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7834, _u7835), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-3734, plain, ( ( c_Sum__Type_OPlus(_u7840, _u7842, _u7844, _u7846) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7840, _u7842), tc_HOL_Obool))) | ( _u7844 = c_Orderings_Obot__class_Obot(tc_fun(_u7840, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-3735, plain, ( ( c_Sum__Type_OPlus(_u7840, _u7842, _u7844, _u7846) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7840, _u7842), tc_HOL_Obool))) | ( _u7846 = c_Orderings_Obot__class_Obot(tc_fun(_u7842, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-3736, plain, ( ( _u7845 != c_Orderings_Obot__class_Obot(tc_fun(_u7841, tc_HOL_Obool))) | ( _u7847 != c_Orderings_Obot__class_Obot(tc_fun(_u7843, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u7841, _u7843, _u7845, _u7847) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7841, _u7843), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-3737, plain, ( ~class_Fields_Ofield(_u7848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7849), _u7850)) | ( hAPP(_u7851, _u7852) = c_Groups_Ozero__class_Ozero(_u7848)) | ~hBOOL(hAPP(hAPP(c_member(_u7849), _u7852), _u7850)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7849, _u7848), _u7851), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7849, tc_HOL_Obool)), _u7850), hAPP(hAPP(c_Set_Oinsert(_u7849), _u7852), c_Orderings_Obot__class_Obot(tc_fun(_u7849, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7848), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7849, _u7848), _u7851), _u7850)), hAPP(_u7851, _u7852))) )).
% 12.21/12.46 cnf(matrix-3738, plain, ( ~class_Fields_Ofield(_u7848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7849), _u7850)) | ( hAPP(_u7851, _u7852) = c_Groups_Ozero__class_Ozero(_u7848)) | hBOOL(hAPP(hAPP(c_member(_u7849), _u7852), _u7850)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7849, _u7848), _u7851), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7849, tc_HOL_Obool)), _u7850), hAPP(hAPP(c_Set_Oinsert(_u7849), _u7852), c_Orderings_Obot__class_Obot(tc_fun(_u7849, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7849, _u7848), _u7851), _u7850)) )).
% 12.21/12.46 cnf(matrix-3739, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7853)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7853) = 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, _u7853)))) )).
% 12.21/12.46 cnf(matrix-3740, plain, ( ~class_Groups_Oordered__ab__group__add(_u7855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7856), _u7857)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7856, _u7855), _u7858), _u7857) != c_Groups_Ozero__class_Ozero(_u7855)) | ~hBOOL(hAPP(hAPP(c_member(_u7856), _u7859), _u7857)) | ( hAPP(_u7858, _u7859) = c_Groups_Ozero__class_Ozero(_u7855)) | hBOOL(hAPP(hAPP(c_member(_u7856), skolem161(_u7859, _u7858, _u7857, _u7856, _u7855)), _u7857)) )).
% 12.21/12.46 cnf(matrix-3741, plain, ( ~class_Groups_Oordered__ab__group__add(_u7855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7856), _u7857)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7856, _u7855), _u7858), _u7857) != c_Groups_Ozero__class_Ozero(_u7855)) | ~hBOOL(hAPP(hAPP(c_member(_u7856), _u7859), _u7857)) | ( hAPP(_u7858, _u7859) = c_Groups_Ozero__class_Ozero(_u7855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7855), c_Groups_Ozero__class_Ozero(_u7855)), hAPP(_u7858, skolem161(_u7859, _u7858, _u7857, _u7856, _u7855)))) )).
% 12.21/12.46 cnf(matrix-3742, plain, ( ~class_Fields_Ofield__inverse__zero(_u7860) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7860), _u7861), _u7862)), _u7863) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7860), hAPP(hAPP(c_Power_Opower__class_Opower(_u7860), _u7861), _u7863)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7860), _u7862), _u7863))) )).
% 12.21/12.46 cnf(matrix-3743, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7864)) = _u7864) )).
% 12.21/12.46 cnf(matrix-3744, plain, ( ~class_Rings_Odivision__ring(_u7865) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7865), c_Groups_Ozero__class_Ozero(_u7865)), _u7866) = c_Groups_Ozero__class_Ozero(_u7865)) )).
% 12.21/12.46 cnf(matrix-3745, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u7867) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7867), _u7868), c_Groups_Ozero__class_Ozero(_u7867)) = c_Groups_Ozero__class_Ozero(_u7867)) )).
% 12.21/12.46 cnf(matrix-3746, plain, ( ~class_Rings_Odivision__ring(_u7869) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7869), _u7870), _u7871)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7869), hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7870)), _u7871)) )).
% 12.21/12.46 cnf(matrix-3747, plain, ( ~class_Rings_Odivision__ring(_u7872) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7872), _u7873), c_Groups_Oone__class_Oone(_u7872)) = _u7873) )).
% 12.21/12.46 cnf(matrix-3748, plain, ( ~class_Rings_Odivision__ring(_u7874) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7874), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7874), _u7875), _u7876)), _u7877) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7874), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7874), _u7875), _u7877)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7874), _u7876), _u7877))) )).
% 12.21/12.46 cnf(matrix-3749, plain, ( ~class_Rings_Odivision__ring(_u7878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7878), _u7879), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7878), _u7880), _u7881)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7878), _u7879), _u7880)), _u7881)) )).
% 12.21/12.46 cnf(matrix-3750, plain, ( ~class_Rings_Odivision__ring(_u7882) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7882), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7882), _u7883), _u7884)), _u7885) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7882), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7882), _u7883), _u7885)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7882), _u7884), _u7885))) )).
% 12.21/12.46 cnf(matrix-3751, plain, ( ~class_Fields_Ofield(_u7886) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7886), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7887, _u7886), _u7888), _u7889)), _u7890) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7887, _u7886), hAPP(hAPP(c_COMBC(_u7887, _u7886, _u7886), hAPP(hAPP(c_COMBB(_u7886, tc_fun(_u7886, _u7886), _u7887), c_Rings_Oinverse__class_Odivide(_u7886)), _u7888)), _u7890)), _u7889)) )).
% 12.21/12.46 cnf(matrix-3752, plain, ( ~class_Rings_Odivision__ring(_u7891) | ( _u7892 = c_Groups_Ozero__class_Ozero(_u7891)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7891), _u7893), _u7892) != _u7894) | ( _u7893 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7891), _u7894), _u7892)) )).
% 12.21/12.46 cnf(matrix-3753, plain, ( ~class_Rings_Odivision__ring(_u7895) | ( _u7896 = c_Groups_Ozero__class_Ozero(_u7895)) | ( _u7897 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7895), _u7898), _u7896)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7895), _u7897), _u7896) = _u7898) )).
% 12.21/12.46 cnf(matrix-3754, plain, ( ~class_Rings_Odivision__ring(_u7899) | ( _u7900 = c_Groups_Ozero__class_Ozero(_u7899)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7899), _u7901), _u7900) != _u7902) | ( _u7901 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7899), _u7902), _u7900)) )).
% 12.21/12.46 cnf(matrix-3755, plain, ( ~class_Rings_Odivision__ring(_u7899) | ( _u7900 = c_Groups_Ozero__class_Ozero(_u7899)) | ( _u7901 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7899), _u7902), _u7900)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7899), _u7901), _u7900) = _u7902) )).
% 12.21/12.46 cnf(matrix-3756, plain, ( ~class_Rings_Odivision__ring(_u7903) | ( _u7904 = c_Groups_Ozero__class_Ozero(_u7903)) | ( _u7905 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7903), _u7906), _u7904)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7903), _u7905), _u7904) = _u7906) )).
% 12.21/12.46 cnf(matrix-3757, plain, ( ~class_Rings_Odivision__ring(_u7903) | ( _u7904 = c_Groups_Ozero__class_Ozero(_u7903)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7903), _u7905), _u7904) != _u7906) | ( _u7905 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7903), _u7906), _u7904)) )).
% 12.21/12.46 cnf(matrix-3758, plain, ( ~class_Rings_Odivision__ring(_u7907) | ( _u7908 = c_Groups_Ozero__class_Ozero(_u7907)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7907), _u7909), _u7908) != c_Groups_Oone__class_Oone(_u7907)) | ( _u7909 = _u7908) )).
% 12.21/12.46 cnf(matrix-3759, plain, ( ~class_Rings_Odivision__ring(_u7907) | ( _u7908 = c_Groups_Ozero__class_Ozero(_u7907)) | ( _u7909 != _u7908) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7907), _u7909), _u7908) = c_Groups_Oone__class_Oone(_u7907)) )).
% 12.21/12.46 cnf(matrix-3760, plain, ( ~class_Rings_Odivision__ring(_u7910) | ( _u7911 = c_Groups_Ozero__class_Ozero(_u7910)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7910), _u7911), _u7911) = c_Groups_Oone__class_Oone(_u7910)) )).
% 12.21/12.46 cnf(matrix-3761, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u7912) | ( _u7913 != c_Groups_Ozero__class_Ozero(_u7912)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7912), _u7913), _u7913) = c_Groups_Ozero__class_Ozero(_u7912)) )).
% 12.21/12.46 cnf(matrix-3762, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u7912) | ( _u7913 = c_Groups_Ozero__class_Ozero(_u7912)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7912), _u7913), _u7913) = c_Groups_Oone__class_Oone(_u7912)) )).
% 12.21/12.46 cnf(matrix-3763, plain, ( ~class_Rings_Odivision__ring(_u7914) | ( _u7915 = c_Groups_Ozero__class_Ozero(_u7914)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7914), hAPP(c_Groups_Ouminus__class_Ouminus(_u7914), _u7916)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7914), _u7915)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7914), _u7916), _u7915)) )).
% 12.21/12.46 cnf(matrix-3764, plain, ( ~class_Rings_Odivision__ring(_u7917) | ( _u7918 = c_Groups_Ozero__class_Ozero(_u7917)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7917), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7917), _u7919), _u7918)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7917), _u7919), hAPP(c_Groups_Ouminus__class_Ouminus(_u7917), _u7918))) )).
% 12.21/12.46 cnf(matrix-3765, plain, ( ~class_Fields_Ofield(_u7920) | ( _u7921 = c_Groups_Ozero__class_Ozero(_u7920)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7920), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7920), _u7922), _u7921)), _u7923) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7920), hAPP(hAPP(c_Power_Opower__class_Opower(_u7920), _u7922), _u7923)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7920), _u7921), _u7923))) )).
% 12.21/12.46 cnf(matrix-3766, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3767, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-3768, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7925)) | ( hAPP(c_Int_Onat, _u7924) != hAPP(c_Int_Onat, _u7925)) | ( _u7924 = _u7925) )).
% 12.21/12.46 cnf(matrix-3769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7925)) | ( _u7924 != _u7925) | ( hAPP(c_Int_Onat, _u7924) = hAPP(c_Int_Onat, _u7925)) )).
% 12.21/12.46 cnf(matrix-3770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7926)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7927)) | ( hAPP(c_Int_Onat, _u7926) != hAPP(c_Int_Onat, _u7927)) | ( _u7926 = _u7927) )).
% 12.21/12.46 cnf(matrix-3771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7926)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7927)) | ( _u7926 != _u7927) | ( hAPP(c_Int_Onat, _u7926) = hAPP(c_Int_Onat, _u7927)) )).
% 12.21/12.46 cnf(matrix-3772, plain, ( ~hBOOL(hAPP(_u7933, skolem162(_u7933))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7929)) | hBOOL(hAPP(_u7933, hAPP(c_Int_Onat, _u7929))) )).
% 12.21/12.46 cnf(matrix-3773, plain, ( hBOOL(hAPP(_u7934, _u7931)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem163(_u7934))) )).
% 12.21/12.46 cnf(matrix-3774, plain, ( hBOOL(hAPP(_u7934, _u7931)) | ~hBOOL(hAPP(_u7934, hAPP(c_Int_Onat, skolem163(_u7934)))) )).
% 12.21/12.46 cnf(matrix-3775, plain, ( ~hBOOL(hAPP(_u7940, _u7935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem164(_u7940))) )).
% 12.21/12.46 cnf(matrix-3776, plain, ( ~hBOOL(hAPP(_u7940, _u7935)) | hBOOL(hAPP(_u7940, hAPP(c_Int_Onat, skolem164(_u7940)))) )).
% 12.21/12.46 cnf(matrix-3777, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7937)) | ~hBOOL(hAPP(_u7941, hAPP(c_Int_Onat, _u7937))) | hBOOL(hAPP(_u7941, skolem165(_u7941))) )).
% 12.21/12.46 cnf(matrix-3778, plain, ( ~class_Fields_Ofield__inverse__zero(_u7942) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7942), c_Groups_Oone__class_Oone(_u7942)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7942), _u7943), _u7944)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7942), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7942), c_Groups_Oone__class_Oone(_u7942)), _u7943)), _u7944)) )).
% 12.21/12.46 cnf(matrix-3779, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-3780, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7945), _u7946) = 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)), _u7945)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7946)))) )).
% 12.21/12.46 cnf(matrix-3781, 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)), _u7947)) = _u7947) )).
% 12.21/12.46 cnf(matrix-3782, plain, ( ~class_Fields_Ofield__inverse__zero(_u7948) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7949), _u7950)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7949, _u7948), hAPP(hAPP(c_COMBS(_u7949, _u7948, _u7948), hAPP(hAPP(c_COMBB(_u7948, tc_fun(_u7948, _u7948), _u7949), c_Rings_Oinverse__class_Odivide(_u7948)), _u7951)), _u7952)), _u7950) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7948), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7949, _u7948), _u7951), _u7950)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7949, _u7948), _u7952), _u7950))) )).
% 12.21/12.46 cnf(matrix-3783, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7953, _u7954)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7954), _u7953))) )).
% 12.21/12.46 cnf(matrix-3784, plain, ( ~class_Groups_Ocomm__monoid__add(_u7955) | ~class_Groups_Ocomm__monoid__mult(_u7955) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u7955), _u7956), _u7957) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u7955), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7955, tc_Int_Oint), _u7956), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7957))) )).
% 12.21/12.46 cnf(matrix-3785, 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)))) )).
% 12.21/12.46 cnf(matrix-3786, plain, ( ( hAPP(c_Int_Onat, _u7959) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7959), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-3787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7960), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7960) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3788, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7961), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7961) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3789, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7964)), hAPP(c_Int_Onat, _u7966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7966)) )).
% 12.21/12.46 cnf(matrix-3790, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7964)), hAPP(c_Int_Onat, _u7966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7964), _u7966)) )).
% 12.21/12.46 cnf(matrix-3791, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7965), _u7967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7965)), hAPP(c_Int_Onat, _u7967))) )).
% 12.21/12.46 cnf(matrix-3792, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7969)), hAPP(c_Int_Onat, _u7968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7969), _u7968)) )).
% 12.21/12.46 cnf(matrix-3793, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7969), _u7968)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7969)), hAPP(c_Int_Onat, _u7968))) )).
% 12.21/12.46 cnf(matrix-3794, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7970)), hAPP(c_Int_Onat, _u7971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7970), _u7971)) )).
% 12.21/12.46 cnf(matrix-3795, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7970), _u7971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7970)), hAPP(c_Int_Onat, _u7971))) )).
% 12.21/12.46 cnf(matrix-3796, 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))) )).
% 12.21/12.46 cnf(matrix-3797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7973)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7973)) = _u7973) )).
% 12.21/12.46 cnf(matrix-3798, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7974)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7974)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-3799, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7977) != _u7979) | ( _u7977 = hAPP(c_Int_Onat, _u7979)) )).
% 12.21/12.46 cnf(matrix-3800, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7977) != _u7979) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7979)) )).
% 12.21/12.46 cnf(matrix-3801, plain, ( ( _u7978 != hAPP(c_Int_Onat, _u7980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7980)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7978) = _u7980) )).
% 12.21/12.46 cnf(matrix-3802, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7981)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7981)) = _u7981) )).
% 12.21/12.46 cnf(matrix-3803, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7984), hAPP(c_Int_Onat, _u7986))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7984)), _u7986)) )).
% 12.21/12.46 cnf(matrix-3804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7985)), _u7987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7985), hAPP(c_Int_Onat, _u7987))) )).
% 12.21/12.46 cnf(matrix-3805, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7988)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7989)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u7988)), hAPP(c_Int_Onat, _u7989)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7988), _u7989))) )).
% 12.21/12.46 cnf(matrix-3806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7990)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7990), _u7991)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u7990)), hAPP(c_Int_Onat, _u7991))) )).
% 12.21/12.46 cnf(matrix-3807, 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), _u7992))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3808, plain, ( ~class_Groups_Ocomm__monoid__add(_u7993) | ~class_Groups_Ocomm__monoid__mult(_u7993) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7993), _u7994), _u7995) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7993), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7993, tc_Int_Oint), _u7994), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7995))) )).
% 12.21/12.46 cnf(matrix-3809, 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)), _u7996)) = hAPP(c_Int_Onat, _u7996)) )).
% 12.21/12.46 cnf(matrix-3810, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7997), _u7998)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7998), _u7997))) )).
% 12.21/12.46 cnf(matrix-3811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u8000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8000)) )).
% 12.21/12.46 cnf(matrix-3812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u8001))) )).
% 12.21/12.46 cnf(matrix-3813, plain, ( ~class_Fields_Ofield(_u8002) | ( _u8003 = c_Groups_Ozero__class_Ozero(_u8002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8004), _u8005)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8002), _u8003), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8005), _u8004)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8002), hAPP(hAPP(c_Power_Opower__class_Opower(_u8002), _u8003), _u8005)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8002), _u8003), _u8004))) )).
% 12.21/12.46 cnf(matrix-3814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8006)), hAPP(c_Int_Onat, _u8007))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8006), _u8007)) )).
% 12.21/12.46 cnf(matrix-3815, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8006), _u8007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8006)), hAPP(c_Int_Onat, _u8007))) )).
% 12.21/12.46 cnf(matrix-3816, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8008)), hAPP(c_Int_Onat, _u8009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8008), _u8009)) )).
% 12.21/12.46 cnf(matrix-3817, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8008), _u8009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8008)), hAPP(c_Int_Onat, _u8009))) )).
% 12.21/12.46 cnf(matrix-3818, plain, ( ( hAPP(c_Int_Onat, _u8012) != _u8014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8012)) | ( _u8012 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8014)) )).
% 12.21/12.46 cnf(matrix-3819, plain, ( ( hAPP(c_Int_Onat, _u8012) != _u8014) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8012)) | ( _u8014 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3820, plain, ( ( hAPP(c_Int_Onat, _u8013) = _u8015) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8013)) | ( _u8015 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3821, plain, ( ( hAPP(c_Int_Onat, _u8013) = _u8015) | ( _u8013 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8013)) )).
% 12.21/12.46 cnf(matrix-3822, plain, ( ( hAPP(c_Int_Onat, _u8013) = _u8015) | ( _u8013 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8015)) | ( _u8015 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3823, plain, ( ( _u8018 != hAPP(c_Int_Onat, _u8020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8020)) | ( _u8020 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8018)) )).
% 12.21/12.46 cnf(matrix-3824, plain, ( ( _u8018 != hAPP(c_Int_Onat, _u8020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8020)) | ( _u8018 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3825, plain, ( ( _u8019 = hAPP(c_Int_Onat, _u8021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8021)) | ( _u8019 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3826, plain, ( ( _u8019 = hAPP(c_Int_Onat, _u8021)) | ( _u8021 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8021)) )).
% 12.21/12.46 cnf(matrix-3827, plain, ( ( _u8019 = hAPP(c_Int_Onat, _u8021)) | ( _u8021 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8019)) | ( _u8019 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-3828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u8022)), hAPP(c_Int_Onat, _u8023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8022), _u8023)) )).
% 12.21/12.46 cnf(matrix-3829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8022), _u8023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u8022)), hAPP(c_Int_Onat, _u8023))) )).
% 12.21/12.46 cnf(matrix-3830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u8022)), hAPP(c_Int_Onat, _u8023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8022), _u8023)) )).
% 12.21/12.46 cnf(matrix-3831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8022), _u8023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u8022)), hAPP(c_Int_Onat, _u8023))) )).
% 12.21/12.46 cnf(matrix-3832, plain, ( ~hBOOL(hAPP(_u8028, hAPP(c_Int_Onat, _u8030))) | ( _u8030 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8024)) | hBOOL(hAPP(_u8028, _u8024)) )).
% 12.21/12.46 cnf(matrix-3833, plain, ( ~hBOOL(hAPP(_u8028, hAPP(c_Int_Onat, _u8030))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8030), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u8028, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-3834, plain, ( hBOOL(hAPP(_u8029, hAPP(c_Int_Onat, _u8031))) | ( _u8031 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem166(_u8031, _u8029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8031), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-3835, plain, ( hBOOL(hAPP(_u8029, hAPP(c_Int_Onat, _u8031))) | ( _u8031 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem166(_u8031, _u8029))) | ~hBOOL(hAPP(_u8029, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-3836, plain, ( hBOOL(hAPP(_u8029, hAPP(c_Int_Onat, _u8031))) | ~hBOOL(hAPP(_u8029, skolem166(_u8031, _u8029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8031), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-3837, plain, ( hBOOL(hAPP(_u8029, hAPP(c_Int_Onat, _u8031))) | ~hBOOL(hAPP(_u8029, skolem166(_u8031, _u8029))) | ~hBOOL(hAPP(_u8029, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-3838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8033)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8032), _u8033)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8032)), hAPP(c_Int_Onat, _u8033))) )).
% 12.21/12.46 cnf(matrix-3839, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8035)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8034)), hAPP(c_Int_Onat, _u8035)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8034), _u8035))) )).
% 12.21/12.46 cnf(matrix-3840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8036)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8036), _u8037)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u8036)), hAPP(c_Int_Onat, _u8037))) )).
% 12.21/12.46 cnf(matrix-3841, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8039)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u8038)), hAPP(c_Int_Onat, _u8039)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8038), _u8039))) )).
% 12.21/12.46 cnf(matrix-3842, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8040), _u8041) = 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)), _u8040)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8041)))) )).
% 12.21/12.46 cnf(matrix-3843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8042)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8042), _u8043)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8043), _u8042)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8043)), hAPP(c_Int_Onat, _u8042))) )).
% 12.21/12.46 cnf(matrix-3844, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8044, tc_Nat_Onat), _u8045), _u8046) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8044, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8044), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8045)), _u8046))) )).
% 12.21/12.46 cnf(matrix-3845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8047)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u8047)), _u8048) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8047), _u8048))) )).
% 12.21/12.46 cnf(matrix-3846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8049)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8049), _u8050)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u8049)), _u8050)) )).
% 12.21/12.46 cnf(matrix-3847, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8051, tc_Nat_Onat), _u8052), _u8053) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8051, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8051), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8052)), _u8053))) )).
% 12.21/12.46 cnf(matrix-3848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8055)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8054)), hAPP(c_Int_Onat, _u8055)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u8054, _u8055))) )).
% 12.21/12.46 cnf(matrix-3849, 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, _u8057))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8057)) )).
% 12.21/12.46 cnf(matrix-3850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8058)) | 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, _u8058))) )).
% 12.21/12.46 cnf(matrix-3851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8059)), _u8060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8059), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8060))) )).
% 12.21/12.46 cnf(matrix-3852, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8059), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u8059)), _u8060)) )).
% 12.21/12.46 cnf(matrix-3853, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8061)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u8061)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8061))) )).
% 12.21/12.46 cnf(matrix-3854, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8062), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8062), _u8063)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8062))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8063)))) )).
% 12.21/12.46 cnf(matrix-3855, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u8064, _u8065)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8065), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8064), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.46 cnf(matrix-3856, plain, ( ~class_Fields_Ofield(_u8066) | ( _u8067 = c_Groups_Oone__class_Oone(_u8066)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8066), hAPP(c_Power_Opower__class_Opower(_u8066), _u8067)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8068)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8066), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8066), hAPP(hAPP(c_Power_Opower__class_Opower(_u8066), _u8067), _u8068)), c_Groups_Oone__class_Oone(_u8066))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8066), _u8067), c_Groups_Oone__class_Oone(_u8066)))) )).
% 12.21/12.46 cnf(matrix-3857, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) )).
% 12.21/12.46 cnf(matrix-3858, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) )).
% 12.21/12.46 cnf(matrix-3859, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.21/12.46 cnf(matrix-3860, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.21/12.46 cnf(matrix-3861, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.21/12.46 cnf(matrix-3862, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.21/12.46 cnf(matrix-3863, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), c_Groups_Ozero__class_Ozero(_u8069)), _u8072)) )).
% 12.21/12.46 cnf(matrix-3864, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.21/12.46 cnf(matrix-3865, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8069), _u8072), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.21/12.46 cnf(matrix-3866, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8069) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8069), _u8071), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072)), _u8071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8069), _u8070), _u8072))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8069), _u8070), c_Groups_Ozero__class_Ozero(_u8069))) )).
% 12.21/12.46 cnf(matrix-3867, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) )).
% 12.21/12.46 cnf(matrix-3868, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) )).
% 12.21/12.46 cnf(matrix-3869, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.21/12.46 cnf(matrix-3870, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.21/12.46 cnf(matrix-3871, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) )).
% 12.21/12.46 cnf(matrix-3872, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.21/12.46 cnf(matrix-3873, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8075)) )).
% 12.21/12.46 cnf(matrix-3874, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.21/12.46 cnf(matrix-3875, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8073), _u8075), c_Groups_Ozero__class_Ozero(_u8073))) )).
% 12.21/12.46 cnf(matrix-3876, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8073), _u8074), _u8075)), _u8076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8073), _u8076), _u8075)), _u8074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), c_Groups_Ozero__class_Ozero(_u8073)), _u8076)) )).
% 12.21/12.46 cnf(matrix-3877, plain, ( ~class_Fields_Olinordered__field(_u8077) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8077), c_Groups_Ozero__class_Ozero(_u8077)), _u8078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8077), _u8079), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8077), _u8080), _u8078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8077), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8077), _u8079), _u8078)), _u8080)) )).
% 12.21/12.46 cnf(matrix-3878, plain, ( ~class_Fields_Olinordered__field(_u8077) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8077), c_Groups_Ozero__class_Ozero(_u8077)), _u8078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8077), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8077), _u8079), _u8078)), _u8080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8077), _u8079), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8077), _u8080), _u8078))) )).
% 12.21/12.46 cnf(matrix-3879, plain, ( ~class_Fields_Olinordered__field(_u8081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8081), c_Groups_Ozero__class_Ozero(_u8081)), _u8082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8081), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8081), _u8083), _u8082)), _u8084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8081), _u8083), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8081), _u8084), _u8082))) )).
% 12.21/12.46 cnf(matrix-3880, plain, ( ~class_Fields_Olinordered__field(_u8081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8081), c_Groups_Ozero__class_Ozero(_u8081)), _u8082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8081), _u8083), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8081), _u8084), _u8082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8081), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8081), _u8083), _u8082)), _u8084)) )).
% 12.21/12.46 cnf(matrix-3881, plain, ( ~class_Fields_Olinordered__field(_u8085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8085), c_Groups_Ozero__class_Ozero(_u8085)), _u8086)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8085), _u8087), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8085), _u8088), _u8086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8085), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8085), _u8087), _u8086)), _u8088)) )).
% 12.21/12.46 cnf(matrix-3882, plain, ( ~class_Fields_Ofield__inverse__zero(_u8089) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8089), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8089), _u8090), _u8091)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8089), _u8092), _u8093)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8089), _u8090), _u8092)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8089), _u8091), _u8093))) )).
% 12.21/12.46 cnf(matrix-3883, plain, ( ~class_Fields_Ofield__inverse__zero(_u8094) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8094), hAPP(c_Groups_Ouminus__class_Ouminus(_u8094), _u8095)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8094), _u8096)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8094), _u8095), _u8096)) )).
% 12.21/12.46 cnf(matrix-3884, plain, ( ~class_Fields_Ofield__inverse__zero(_u8097) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8097), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8097), _u8098), _u8099)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8097), _u8098), hAPP(c_Groups_Ouminus__class_Ouminus(_u8097), _u8099))) )).
% 12.21/12.46 cnf(matrix-3885, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8101), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.21/12.46 cnf(matrix-3886, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8102), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.21/12.46 cnf(matrix-3887, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8101), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.21/12.46 cnf(matrix-3888, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8102), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.21/12.46 cnf(matrix-3889, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), _u8102)) )).
% 12.21/12.46 cnf(matrix-3890, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8100) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), c_Groups_Ozero__class_Ozero(_u8100)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8100), _u8101), _u8102))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8101), c_Groups_Ozero__class_Ozero(_u8100))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8100), _u8102), c_Groups_Ozero__class_Ozero(_u8100))) )).
% 12.21/12.46 cnf(matrix-3891, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8104), c_Groups_Ozero__class_Ozero(_u8103))) )).
% 12.21/12.46 cnf(matrix-3892, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8105)) )).
% 12.21/12.46 cnf(matrix-3893, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8105), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8104), c_Groups_Ozero__class_Ozero(_u8103))) )).
% 12.21/12.46 cnf(matrix-3894, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8105), c_Groups_Ozero__class_Ozero(_u8103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8105)) )).
% 12.21/12.46 cnf(matrix-3895, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8104)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8105), c_Groups_Ozero__class_Ozero(_u8103))) )).
% 12.21/12.46 cnf(matrix-3896, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8103) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8103), _u8104), _u8105)), c_Groups_Ozero__class_Ozero(_u8103))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), _u8104), c_Groups_Ozero__class_Ozero(_u8103))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8105)) )).
% 12.21/12.46 cnf(matrix-3897, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8106), _u8107), _u8108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8106), c_Groups_Ozero__class_Ozero(_u8106)), _u8109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8106), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8106), _u8107), _u8109)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8106), _u8108), _u8109))) )).
% 12.21/12.46 cnf(matrix-3898, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8110), _u8111), _u8112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8110), _u8113), c_Groups_Ozero__class_Ozero(_u8110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8110), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8110), _u8112), _u8113)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8110), _u8111), _u8113))) )).
% 12.21/12.46 cnf(matrix-3899, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8115), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.21/12.46 cnf(matrix-3900, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8116), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.21/12.46 cnf(matrix-3901, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8115), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.21/12.46 cnf(matrix-3902, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8116), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.21/12.46 cnf(matrix-3903, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), _u8116)) )).
% 12.21/12.46 cnf(matrix-3904, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), c_Groups_Ozero__class_Ozero(_u8114)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8114), _u8115), _u8116))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8115), c_Groups_Ozero__class_Ozero(_u8114))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), _u8116), c_Groups_Ozero__class_Ozero(_u8114))) )).
% 12.21/12.46 cnf(matrix-3905, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8118), c_Groups_Ozero__class_Ozero(_u8117))) )).
% 12.21/12.46 cnf(matrix-3906, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8119)) )).
% 12.21/12.46 cnf(matrix-3907, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8119), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8118), c_Groups_Ozero__class_Ozero(_u8117))) )).
% 12.21/12.46 cnf(matrix-3908, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8119), c_Groups_Ozero__class_Ozero(_u8117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8119)) )).
% 12.21/12.46 cnf(matrix-3909, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8118)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8119), c_Groups_Ozero__class_Ozero(_u8117))) )).
% 12.21/12.46 cnf(matrix-3910, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8117), _u8118), _u8119)), c_Groups_Ozero__class_Ozero(_u8117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), _u8118), c_Groups_Ozero__class_Ozero(_u8117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8117), c_Groups_Ozero__class_Ozero(_u8117)), _u8119)) )).
% 12.21/12.46 cnf(matrix-3911, plain, ( ~class_Fields_Olinordered__field(_u8120) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8120), c_Groups_Ozero__class_Ozero(_u8120)), _u8121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8120), c_Groups_Ozero__class_Ozero(_u8120)), _u8122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8120), c_Groups_Ozero__class_Ozero(_u8120)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8120), _u8121), _u8122))) )).
% 12.21/12.46 cnf(matrix-3912, plain, ( ~class_Fields_Olinordered__field(_u8123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8123), c_Groups_Ozero__class_Ozero(_u8123)), _u8124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8123), _u8125), c_Groups_Ozero__class_Ozero(_u8123))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8123), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8123), _u8124), _u8125)), c_Groups_Ozero__class_Ozero(_u8123))) )).
% 12.21/12.46 cnf(matrix-3913, plain, ( ~class_Fields_Olinordered__field(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), _u8127), c_Groups_Ozero__class_Ozero(_u8126))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), c_Groups_Ozero__class_Ozero(_u8126)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8126), _u8127), _u8128)), c_Groups_Ozero__class_Ozero(_u8126))) )).
% 12.21/12.46 cnf(matrix-3914, plain, ( ~class_Fields_Olinordered__field(_u8129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8129), _u8130), c_Groups_Ozero__class_Ozero(_u8129))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8129), _u8131), c_Groups_Ozero__class_Ozero(_u8129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8129), c_Groups_Ozero__class_Ozero(_u8129)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8129), _u8130), _u8131))) )).
% 12.21/12.46 cnf(matrix-3915, plain, ( ~class_Fields_Olinordered__field(_u8132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8132), _u8133), _u8134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8132), c_Groups_Ozero__class_Ozero(_u8132)), _u8135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8132), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8132), _u8133), _u8135)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8132), _u8134), _u8135))) )).
% 12.21/12.46 cnf(matrix-3916, plain, ( ~class_Fields_Olinordered__field(_u8136) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8136), _u8137), _u8138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8136), _u8139), c_Groups_Ozero__class_Ozero(_u8136))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8136), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8136), _u8138), _u8139)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8136), _u8137), _u8139))) )).
% 12.21/12.46 cnf(matrix-3917, plain, ( ~class_Fields_Ofield(_u8140) | ( _u8141 = c_Groups_Ozero__class_Ozero(_u8140)) | ( _u8142 = c_Groups_Ozero__class_Ozero(_u8140)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8140), _u8143), _u8141) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8140), _u8144), _u8142)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), _u8143), _u8142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), _u8144), _u8141)) )).
% 12.21/12.46 cnf(matrix-3918, plain, ( ~class_Fields_Ofield(_u8140) | ( _u8141 = c_Groups_Ozero__class_Ozero(_u8140)) | ( _u8142 = c_Groups_Ozero__class_Ozero(_u8140)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), _u8143), _u8142) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), _u8144), _u8141)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8140), _u8143), _u8141) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8140), _u8144), _u8142)) )).
% 12.21/12.46 cnf(matrix-3919, plain, ( ~class_Fields_Ofield__inverse__zero(_u8145) | ( _u8146 = c_Groups_Ozero__class_Ozero(_u8145)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8148)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8145), _u8147), _u8148)) )).
% 12.21/12.46 cnf(matrix-3920, plain, ( ~class_Fields_Ofield__inverse__zero(_u8149) | ( _u8150 = c_Groups_Ozero__class_Ozero(_u8149)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8149), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8149), _u8151), _u8150)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8149), _u8152), _u8150)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8149), _u8151), _u8152)) )).
% 12.21/12.46 cnf(matrix-3921, plain, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) != _u8156) | ( _u8155 = c_Groups_Ozero__class_Ozero(_u8153)) | ( _u8154 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8153), _u8156), _u8155)) )).
% 12.21/12.46 cnf(matrix-3922, plain, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) != _u8156) | ( _u8155 != c_Groups_Ozero__class_Ozero(_u8153)) | ( _u8156 = c_Groups_Ozero__class_Ozero(_u8153)) )).
% 12.21/12.46 cnf(matrix-3923, plain, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) = _u8156) | ( _u8155 != c_Groups_Ozero__class_Ozero(_u8153)) | ( _u8156 != c_Groups_Ozero__class_Ozero(_u8153)) )).
% 12.21/12.46 cnf(matrix-3924, plain, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) = _u8156) | ( _u8154 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8153), _u8156), _u8155)) | ( _u8155 = c_Groups_Ozero__class_Ozero(_u8153)) )).
% 12.21/12.46 cnf(matrix-3925, plain, ( ~class_Fields_Ofield__inverse__zero(_u8153) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8153), _u8154), _u8155) = _u8156) | ( _u8154 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8153), _u8156), _u8155)) | ( _u8156 != c_Groups_Ozero__class_Ozero(_u8153)) )).
% 12.21/12.46 cnf(matrix-3926, plain, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( _u8160 = c_Groups_Ozero__class_Ozero(_u8157)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8157), _u8158), _u8160) = _u8159) )).
% 12.21/12.46 cnf(matrix-3927, plain, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( _u8160 != c_Groups_Ozero__class_Ozero(_u8157)) | ( _u8158 = c_Groups_Ozero__class_Ozero(_u8157)) )).
% 12.21/12.46 cnf(matrix-3928, plain, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( _u8160 != c_Groups_Ozero__class_Ozero(_u8157)) | ( _u8158 != c_Groups_Ozero__class_Ozero(_u8157)) )).
% 12.21/12.46 cnf(matrix-3929, plain, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8157), _u8158), _u8160) != _u8159) | ( _u8160 = c_Groups_Ozero__class_Ozero(_u8157)) )).
% 12.21/12.46 cnf(matrix-3930, plain, ( ~class_Fields_Ofield__inverse__zero(_u8157) | ( _u8158 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8157), _u8159), _u8160)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8157), _u8158), _u8160) != _u8159) | ( _u8158 != c_Groups_Ozero__class_Ozero(_u8157)) )).
% 12.21/12.46 cnf(matrix-3931, plain, ( ~class_Fields_Olinordered__field(_u8161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8161), c_Groups_Ozero__class_Ozero(_u8161)), _u8162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8161), c_Groups_Ozero__class_Ozero(_u8161)), _u8163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8161), c_Groups_Ozero__class_Ozero(_u8161)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8161), _u8162), _u8163))) )).
% 12.21/12.46 cnf(matrix-3932, plain, ( ~class_Fields_Olinordered__field(_u8164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8164), c_Groups_Ozero__class_Ozero(_u8164)), _u8165)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8164), _u8166), c_Groups_Ozero__class_Ozero(_u8164))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8164), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8164), _u8165), _u8166)), c_Groups_Ozero__class_Ozero(_u8164))) )).
% 12.21/12.46 cnf(matrix-3933, plain, ( ~class_Fields_Olinordered__field(_u8167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8167), c_Groups_Ozero__class_Ozero(_u8167)), _u8168)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8167), _u8168), _u8169)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8167), c_Groups_Ozero__class_Ozero(_u8167)), _u8170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8167), _u8170), _u8171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8167), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8167), _u8168), _u8171)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8167), _u8169), _u8170))) )).
% 12.21/12.46 cnf(matrix-3934, plain, ( ~class_Fields_Olinordered__field(_u8172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8172), c_Groups_Ozero__class_Ozero(_u8172)), _u8173)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), _u8173), _u8174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), c_Groups_Ozero__class_Ozero(_u8172)), _u8175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8172), _u8175), _u8176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8172), _u8173), _u8176)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8172), _u8174), _u8175))) )).
% 12.21/12.46 cnf(matrix-3935, plain, ( ~class_Fields_Olinordered__field(_u8177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8177), c_Groups_Ozero__class_Ozero(_u8177)), _u8178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8177), _u8178), _u8179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8177), c_Groups_Ozero__class_Ozero(_u8177)), _u8180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8177), _u8180), _u8181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8177), _u8178), _u8181)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8177), _u8179), _u8180))) )).
% 12.21/12.46 cnf(matrix-3936, plain, ( ~class_Fields_Olinordered__field(_u8182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8182), _u8183), c_Groups_Ozero__class_Ozero(_u8182))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8182), c_Groups_Ozero__class_Ozero(_u8182)), _u8184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8182), _u8183), _u8184)), c_Groups_Ozero__class_Ozero(_u8182))) )).
% 12.21/12.46 cnf(matrix-3937, plain, ( ~class_Fields_Olinordered__field(_u8185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8185), _u8186), c_Groups_Ozero__class_Ozero(_u8185))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8185), _u8187), c_Groups_Ozero__class_Ozero(_u8185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8185), c_Groups_Ozero__class_Ozero(_u8185)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8185), _u8186), _u8187))) )).
% 12.21/12.46 cnf(matrix-3938, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) )).
% 12.21/12.46 cnf(matrix-3939, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) )).
% 12.21/12.46 cnf(matrix-3940, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.21/12.46 cnf(matrix-3941, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.21/12.46 cnf(matrix-3942, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.21/12.46 cnf(matrix-3943, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.21/12.46 cnf(matrix-3944, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), c_Groups_Ozero__class_Ozero(_u8188)), _u8191)) )).
% 12.21/12.46 cnf(matrix-3945, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.21/12.46 cnf(matrix-3946, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8191), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.21/12.46 cnf(matrix-3947, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8188), _u8190), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191)), _u8190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8188), _u8189), _u8191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8188), _u8189), c_Groups_Ozero__class_Ozero(_u8188))) )).
% 12.21/12.46 cnf(matrix-3948, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) )).
% 12.21/12.46 cnf(matrix-3949, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) )).
% 12.21/12.46 cnf(matrix-3950, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.21/12.46 cnf(matrix-3951, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.21/12.46 cnf(matrix-3952, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) )).
% 12.21/12.46 cnf(matrix-3953, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.21/12.46 cnf(matrix-3954, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8194)) )).
% 12.21/12.46 cnf(matrix-3955, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.21/12.46 cnf(matrix-3956, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8194), c_Groups_Ozero__class_Ozero(_u8192))) )).
% 12.21/12.46 cnf(matrix-3957, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8192), _u8193), _u8194)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), _u8193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8192), _u8195), _u8194)), _u8193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8192), c_Groups_Ozero__class_Ozero(_u8192)), _u8195)) )).
% 12.21/12.46 cnf(matrix-3958, plain, ( ~class_Fields_Olinordered__field(_u8196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), c_Groups_Ozero__class_Ozero(_u8196)), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), _u8198), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8196), _u8199), _u8197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8196), _u8198), _u8197)), _u8199)) )).
% 12.21/12.46 cnf(matrix-3959, plain, ( ~class_Fields_Olinordered__field(_u8196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), c_Groups_Ozero__class_Ozero(_u8196)), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8196), _u8198), _u8197)), _u8199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8196), _u8198), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8196), _u8199), _u8197))) )).
% 12.21/12.46 cnf(matrix-3960, plain, ( ~class_Fields_Olinordered__field(_u8200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), c_Groups_Ozero__class_Ozero(_u8200)), _u8201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8200), _u8202), _u8201)), _u8203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), _u8202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8200), _u8203), _u8201))) )).
% 12.21/12.46 cnf(matrix-3961, plain, ( ~class_Fields_Olinordered__field(_u8200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), c_Groups_Ozero__class_Ozero(_u8200)), _u8201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), _u8202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8200), _u8203), _u8201))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8200), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8200), _u8202), _u8201)), _u8203)) )).
% 12.21/12.46 cnf(matrix-3962, plain, ( ~class_Fields_Olinordered__field(_u8204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8204), c_Groups_Ozero__class_Ozero(_u8204)), _u8205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8204), _u8206), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8204), _u8207), _u8205))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8204), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8204), _u8206), _u8205)), _u8207)) )).
% 12.21/12.46 cnf(matrix-3963, plain, ( ~class_Fields_Olinordered__field(_u8208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), c_Groups_Ozero__class_Ozero(_u8208)), _u8209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8208), _u8210), _u8209)), _u8211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), _u8210), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8208), _u8211), _u8209))) )).
% 12.21/12.46 cnf(matrix-3964, plain, ( ~class_Fields_Olinordered__field(_u8212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8213), c_Groups_Ozero__class_Ozero(_u8212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8214), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8212), _u8215), _u8213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8212), _u8214), _u8213))) )).
% 12.21/12.46 cnf(matrix-3965, plain, ( ~class_Fields_Olinordered__field(_u8212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8213), c_Groups_Ozero__class_Ozero(_u8212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8212), _u8214), _u8213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8212), _u8214), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8212), _u8215), _u8213))) )).
% 12.21/12.46 cnf(matrix-3966, plain, ( ~class_Fields_Olinordered__field(_u8216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), _u8217), c_Groups_Ozero__class_Ozero(_u8216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8216), _u8218), _u8217)), _u8219)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8216), _u8219), _u8217)), _u8218)) )).
% 12.21/12.46 cnf(matrix-3967, plain, ( ~class_Fields_Olinordered__field(_u8216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), _u8217), c_Groups_Ozero__class_Ozero(_u8216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8216), _u8219), _u8217)), _u8218)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8216), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8216), _u8218), _u8217)), _u8219)) )).
% 12.21/12.46 cnf(matrix-3968, plain, ( ~class_Fields_Olinordered__field(_u8220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8220), _u8221), _u8222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8220), c_Groups_Ozero__class_Ozero(_u8220)), _u8223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8220), c_Groups_Ozero__class_Ozero(_u8220)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8220), _u8222), _u8221))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8220), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8220), _u8223), _u8222)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8220), _u8223), _u8221))) )).
% 12.21/12.46 cnf(matrix-3969, plain, ( ~class_Fields_Olinordered__field(_u8224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8224), _u8225), _u8226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8224), _u8227), c_Groups_Ozero__class_Ozero(_u8224))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8224), c_Groups_Ozero__class_Ozero(_u8224)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8224), _u8225), _u8226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8224), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8224), _u8227), _u8225)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8224), _u8227), _u8226))) )).
% 12.21/12.46 cnf(matrix-3970, plain, ( ~class_Fields_Ofield(_u8228) | ( _u8229 = c_Groups_Ozero__class_Ozero(_u8228)) | ( _u8230 = c_Groups_Ozero__class_Ozero(_u8228)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8228), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8228), _u8231), _u8229)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8228), _u8232), _u8230)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8228), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8228), _u8231), _u8230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8228), _u8232), _u8229))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8228), _u8229), _u8230))) )).
% 12.21/12.46 cnf(matrix-3971, plain, ( ~class_Fields_Ofield(_u8233) | ( _u8234 = c_Groups_Ozero__class_Ozero(_u8233)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8233), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8233), _u8235), _u8234)), _u8236) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8233), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8233), _u8235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8233), _u8234), _u8236))), _u8234)) )).
% 12.21/12.46 cnf(matrix-3972, plain, ( ~class_Fields_Ofield__inverse__zero(_u8237) | ( _u8238 = c_Groups_Ozero__class_Ozero(_u8237)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8237), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8237), _u8239), _u8238)), _u8240) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8237), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8237), _u8239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8237), _u8240), _u8238))), _u8238)) )).
% 12.21/12.46 cnf(matrix-3973, plain, ( ~class_Fields_Ofield(_u8241) | ( _u8242 = c_Groups_Ozero__class_Ozero(_u8241)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8241), _u8243), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8241), _u8244), _u8242)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8241), _u8242), _u8243)), _u8244)), _u8242)) )).
% 12.21/12.46 cnf(matrix-3974, plain, ( ~class_Fields_Ofield__inverse__zero(_u8245) | ( _u8246 = c_Groups_Ozero__class_Ozero(_u8245)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8245), _u8247), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8245), _u8248), _u8246)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8245), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8245), _u8248), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8245), _u8247), _u8246))), _u8246)) )).
% 12.21/12.46 cnf(matrix-3975, plain, ( ~class_Fields_Ofield(_u8249) | ( _u8250 = c_Groups_Ozero__class_Ozero(_u8249)) | ( _u8251 = c_Groups_Ozero__class_Ozero(_u8249)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8249), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8249), _u8252), _u8250)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8249), _u8253), _u8251)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8249), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8249), _u8252), _u8251)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8249), _u8253), _u8250))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8249), _u8250), _u8251))) )).
% 12.21/12.46 cnf(matrix-3976, plain, ( ~class_Fields_Ofield(_u8254) | ( _u8255 = c_Groups_Ozero__class_Ozero(_u8254)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8254), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8254), _u8256), _u8255)), _u8257) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8254), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8254), _u8256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8254), _u8255), _u8257))), _u8255)) )).
% 12.21/12.46 cnf(matrix-3977, plain, ( ~class_Fields_Ofield(_u8258) | ( _u8259 = c_Groups_Ozero__class_Ozero(_u8258)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8258), _u8260), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8258), _u8261), _u8259)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8258), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8258), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8258), _u8259), _u8260)), _u8261)), _u8259)) )).
% 12.21/12.46 cnf(matrix-3978, plain, ( ~class_Fields_Olinordered__field(_u8262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8262), _u8263), _u8264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8262), _u8263), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8262), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8262), _u8263), _u8264)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8262), c_Groups_Oone__class_Oone(_u8262)), c_Groups_Oone__class_Oone(_u8262))))) )).
% 12.21/12.46 cnf(matrix-3979, plain, ( ~class_Fields_Olinordered__field(_u8265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8265), _u8266), _u8267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8265), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8265), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8265), _u8266), _u8267)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8265), c_Groups_Oone__class_Oone(_u8265)), c_Groups_Oone__class_Oone(_u8265)))), _u8267)) )).
% 12.21/12.46 cnf(matrix-3980, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8268), _u8269), _u8270)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8268), _u8271), c_Groups_Ozero__class_Ozero(_u8268))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8268), c_Groups_Ozero__class_Ozero(_u8268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8268), _u8269), _u8270))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8268), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8268), _u8271), _u8269)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8268), _u8271), _u8270))) )).
% 12.21/12.46 cnf(matrix-3981, plain, ( ~class_Fields_Olinordered__field(_u8272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8272), _u8273), _u8274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8272), c_Groups_Ozero__class_Ozero(_u8272)), _u8275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8272), c_Groups_Ozero__class_Ozero(_u8272)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8272), _u8274), _u8273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8272), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8272), _u8275), _u8274)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8272), _u8275), _u8273))) )).
% 12.21/12.46 cnf(matrix-3982, plain, ( ~class_Fields_Olinordered__field(_u8276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8276), _u8277), c_Groups_Ozero__class_Ozero(_u8276))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8276), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8276), _u8278), _u8277)), _u8279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8276), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8276), _u8279), _u8277)), _u8278)) )).
% 12.21/12.46 cnf(matrix-3983, plain, ( ~class_Fields_Olinordered__field(_u8276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8276), _u8277), c_Groups_Ozero__class_Ozero(_u8276))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8276), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8276), _u8279), _u8277)), _u8278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8276), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8276), _u8278), _u8277)), _u8279)) )).
% 12.21/12.46 cnf(matrix-3984, plain, ( ~class_Fields_Olinordered__field(_u8280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8280), _u8281), c_Groups_Ozero__class_Ozero(_u8280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8280), _u8282), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8280), _u8283), _u8281))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8280), _u8283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8280), _u8282), _u8281))) )).
% 12.21/12.46 cnf(matrix-3985, plain, ( ~class_Fields_Olinordered__field(_u8280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8280), _u8281), c_Groups_Ozero__class_Ozero(_u8280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8280), _u8283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8280), _u8282), _u8281))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8280), _u8282), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8280), _u8283), _u8281))) )).
% 12.21/12.46 cnf(matrix-3986, plain, ( ~class_Fields_Olinordered__field(_u8284) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8284), c_Groups_Ozero__class_Ozero(_u8284)), _u8285)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8284), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8284), _u8286), _u8285)), _u8287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8284), _u8286), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8284), _u8287), _u8285))) )).
% 12.21/12.46 cnf(matrix-3987, plain, ( ( c_Int_Onat__aux(_u8288, _u8289) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8288)), _u8289)) )).
% 12.21/12.46 cnf(matrix-3988, plain, ( ~c_Nat__Transfer_Onat__set(_u8290) | ~c_Nat__Transfer_Onat__set(_u8291) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8290), _u8291) = 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), _u8290)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8291)))) )).
% 12.21/12.46 cnf(matrix-3989, plain, ( ~c_Nat__Transfer_Onat__set(_u8292) | ~c_Nat__Transfer_Onat__set(_u8293) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8292), _u8293) = 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), _u8292)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8293)))) )).
% 12.21/12.46 cnf(matrix-3990, 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))) )).
% 12.21/12.46 cnf(matrix-3991, plain, ( ~class_Groups_Ocomm__monoid__add(_u8294) | ~class_Groups_Ocomm__monoid__mult(_u8294) | ~c_Nat__Transfer_Onat__set(_u8295) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8294), _u8296), _u8295) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8294), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8294, tc_Nat_Onat), _u8296), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8295))) )).
% 12.21/12.46 cnf(matrix-3992, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-3993, plain, ( ~c_Nat__Transfer_Onat__set(_u8297) | ~c_Nat__Transfer_Onat__set(_u8298) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8297), _u8298)) )).
% 12.21/12.46 cnf(matrix-3994, plain, ( ~c_Nat__Transfer_Onat__set(_u8299) | ~c_Nat__Transfer_Onat__set(_u8300) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8299), _u8300)) )).
% 12.21/12.46 cnf(matrix-3995, plain, ( ~c_Nat__Transfer_Onat__set(_u8304) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8301), _u8304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8301)) )).
% 12.21/12.46 cnf(matrix-3996, plain, ( c_Nat__Transfer_Onat__set(_u8305) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem167(_u8305)), _u8305)) )).
% 12.21/12.46 cnf(matrix-3997, plain, ( c_Nat__Transfer_Onat__set(_u8305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem167(_u8305))) )).
% 12.21/12.46 cnf(matrix-3998, 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)), _u8306)) )).
% 12.21/12.46 cnf(matrix-3999, plain, ( ~c_Nat__Transfer_Onat__set(_u8307) | ~c_Nat__Transfer_Onat__set(_u8308) | ( _u8307 != _u8308) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8307) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8308)) )).
% 12.21/12.46 cnf(matrix-4000, plain, ( ~c_Nat__Transfer_Onat__set(_u8307) | ~c_Nat__Transfer_Onat__set(_u8308) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8307) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8308)) | ( _u8307 = _u8308) )).
% 12.21/12.46 cnf(matrix-4001, plain, ( ~c_Nat__Transfer_Onat__set(_u8309) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8310), _u8309)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8310)) )).
% 12.21/12.46 cnf(matrix-4002, plain, ( ~c_Nat__Transfer_Onat__set(_u8311) | ( 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), _u8311)) = _u8311) )).
% 12.21/12.46 cnf(matrix-4003, plain, ( ~c_Nat__Transfer_Onat__set(_u8312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8312)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8312))) )).
% 12.21/12.46 cnf(matrix-4004, plain, ( ~c_Nat__Transfer_Onat__set(_u8312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8312))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8312)) )).
% 12.21/12.46 cnf(matrix-4005, plain, ( ~c_Nat__Transfer_Onat__set(_u8313) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u8313) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8313))) )).
% 12.21/12.46 cnf(matrix-4006, plain, ( ~c_Nat__Transfer_Onat__set(_u8314) | ~c_Nat__Transfer_Onat__set(_u8315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8314), _u8315)) | 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), _u8314)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8315))) )).
% 12.21/12.46 cnf(matrix-4007, plain, ( ~c_Nat__Transfer_Onat__set(_u8314) | ~c_Nat__Transfer_Onat__set(_u8315) | ~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), _u8314)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8314), _u8315)) )).
% 12.21/12.46 cnf(matrix-4008, plain, ( ~c_Nat__Transfer_Onat__set(_u8316) | ~c_Nat__Transfer_Onat__set(_u8317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8316), _u8317)) | 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), _u8316)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8317))) )).
% 12.21/12.46 cnf(matrix-4009, plain, ( ~c_Nat__Transfer_Onat__set(_u8316) | ~c_Nat__Transfer_Onat__set(_u8317) | ~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), _u8316)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8316), _u8317)) )).
% 12.21/12.46 cnf(matrix-4010, plain, ( ~class_Groups_Ocomm__monoid__add(_u8318) | ~class_Groups_Ocomm__monoid__mult(_u8318) | ~c_Nat__Transfer_Onat__set(_u8319) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8318), _u8320), _u8319) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8318), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8318, tc_Nat_Onat), _u8320), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8319))) )).
% 12.21/12.46 cnf(matrix-4011, plain, ( ~class_Fields_Ofield(_u8322) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8324)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8325)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8322), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), _u8324)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), _u8325))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325)))) | hBOOL(hAPP(hAPP(c_member(_u8323), skolem168(_u8326, _u8325, _u8324, _u8323, _u8322)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325))) )).
% 12.21/12.46 cnf(matrix-4012, plain, ( ~class_Fields_Ofield(_u8322) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8324)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8325)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8322), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), _u8324)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), _u8325))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8323, _u8322), _u8326), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8323, tc_HOL_Obool)), _u8324), _u8325)))) | ( hAPP(_u8326, skolem168(_u8326, _u8325, _u8324, _u8323, _u8322)) = c_Groups_Ozero__class_Ozero(_u8322)) )).
% 12.21/12.46 cnf(matrix-4013, plain, ( ~c_Nat__Transfer_Ois__nat(_u8327) | ~c_Nat__Transfer_Onat__set(_u8328) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8327), _u8328)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u8327)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8328))) )).
% 12.21/12.46 cnf(matrix-4014, plain, ( ~c_Nat__Transfer_Ois__nat(_u8327) | ~c_Nat__Transfer_Onat__set(_u8328) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u8327)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8328))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8327), _u8328)) )).
% 12.21/12.46 cnf(matrix-4015, plain, ( ~class_Rings_Oring__1(_u8329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8330), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8329), _u8330) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8329), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8329), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8330))))) )).
% 12.21/12.46 cnf(matrix-4016, plain, ( ~class_Rings_Oring__1(_u8329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8330), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8329), _u8330) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8329), hAPP(c_Int_Onat, _u8330))) )).
% 12.21/12.46 cnf(matrix-4017, plain, ( ~class_Groups_Oordered__ab__group__add(_u8332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8333), _u8334)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8333, _u8332), _u8335), _u8334) != _u8336) | ~hBOOL(hAPP(hAPP(c_member(_u8333), _u8337), _u8334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8332), hAPP(_u8335, _u8337)), _u8336)) | hBOOL(hAPP(hAPP(c_member(_u8333), skolem169(_u8337, _u8336, _u8335, _u8334, _u8333, _u8332)), _u8334)) )).
% 12.21/12.46 cnf(matrix-4018, plain, ( ~class_Groups_Oordered__ab__group__add(_u8332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8333), _u8334)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8333, _u8332), _u8335), _u8334) != _u8336) | ~hBOOL(hAPP(hAPP(c_member(_u8333), _u8337), _u8334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8332), hAPP(_u8335, _u8337)), _u8336)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8332), c_Groups_Ozero__class_Ozero(_u8332)), hAPP(_u8335, skolem169(_u8337, _u8336, _u8335, _u8334, _u8333, _u8332)))) )).
% 12.21/12.46 cnf(matrix-4019, 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)))) )).
% 12.21/12.46 cnf(matrix-4020, plain, ( ~class_Orderings_Olinorder(_u8338) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8338), _u8339) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8338), _u8340)) | ( _u8339 = _u8340) )).
% 12.21/12.46 cnf(matrix-4021, plain, ( ~class_Orderings_Olinorder(_u8338) | ( _u8339 != _u8340) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8338), _u8339) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8338), _u8340)) )).
% 12.21/12.46 cnf(matrix-4022, plain, ( ~class_Int_Oring__char__0(_u8341) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8341), _u8342) != hAPP(c_Int_Oring__1__class_Oof__int(_u8341), _u8343)) | ( _u8342 = _u8343) )).
% 12.21/12.46 cnf(matrix-4023, plain, ( ~class_Int_Oring__char__0(_u8341) | ( _u8342 != _u8343) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8341), _u8342) = hAPP(c_Int_Oring__1__class_Oof__int(_u8341), _u8343)) )).
% 12.21/12.46 cnf(matrix-4024, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8344)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8344)) )).
% 12.21/12.46 cnf(matrix-4025, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4026, plain, ( ~c_Nat__Transfer_Ois__nat(_u8345) | ~c_Nat__Transfer_Ois__nat(_u8346) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8345), _u8346)) )).
% 12.21/12.46 cnf(matrix-4027, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8347)) )).
% 12.21/12.46 cnf(matrix-4028, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4029, plain, ( ~c_Nat__Transfer_Ois__nat(_u8348) | ~c_Nat__Transfer_Ois__nat(_u8349) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8348), _u8349)) )).
% 12.21/12.46 cnf(matrix-4030, plain, ( ~c_Nat__Transfer_Ois__nat(_u8350) | ~c_Nat__Transfer_Ois__nat(_u8351) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8350), _u8351)) )).
% 12.21/12.46 cnf(matrix-4031, plain, ( ~c_Nat__Transfer_Ois__nat(_u8352) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8352), _u8353)) )).
% 12.21/12.46 cnf(matrix-4032, plain, ( ~c_Nat__Transfer_Ois__nat(_u8354) | ~c_Nat__Transfer_Ois__nat(_u8355) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u8354, _u8355)) )).
% 12.21/12.46 cnf(matrix-4033, plain, ( ~class_Rings_Oring__1(_u8356) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8356), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u8356)) )).
% 12.21/12.46 cnf(matrix-4034, plain, ( ~class_Int_Oring__char__0(_u8357) | ( c_Groups_Ozero__class_Ozero(_u8357) != hAPP(c_Int_Oring__1__class_Oof__int(_u8357), _u8358)) | ( _u8358 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4035, plain, ( ~class_Int_Oring__char__0(_u8357) | ( _u8358 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u8357) = hAPP(c_Int_Oring__1__class_Oof__int(_u8357), _u8358)) )).
% 12.21/12.46 cnf(matrix-4036, plain, ( ~class_Int_Oring__char__0(_u8359) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8359), _u8360) != c_Groups_Ozero__class_Ozero(_u8359)) | ( _u8360 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4037, plain, ( ~class_Int_Oring__char__0(_u8359) | ( _u8360 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8359), _u8360) = c_Groups_Ozero__class_Ozero(_u8359)) )).
% 12.21/12.46 cnf(matrix-4038, plain, ( ~class_Rings_Olinordered__idom(_u8361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8361), hAPP(c_Int_Oring__1__class_Oof__int(_u8361), _u8362)), hAPP(c_Int_Oring__1__class_Oof__int(_u8361), _u8363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8362), _u8363)) )).
% 12.21/12.46 cnf(matrix-4039, plain, ( ~class_Rings_Olinordered__idom(_u8361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8362), _u8363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8361), hAPP(c_Int_Oring__1__class_Oof__int(_u8361), _u8362)), hAPP(c_Int_Oring__1__class_Oof__int(_u8361), _u8363))) )).
% 12.21/12.46 cnf(matrix-4040, plain, ( ~class_Rings_Olinordered__idom(_u8364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8364), hAPP(c_Int_Oring__1__class_Oof__int(_u8364), _u8365)), hAPP(c_Int_Oring__1__class_Oof__int(_u8364), _u8366))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8365), _u8366)) )).
% 12.21/12.46 cnf(matrix-4041, plain, ( ~class_Rings_Olinordered__idom(_u8364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8365), _u8366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8364), hAPP(c_Int_Oring__1__class_Oof__int(_u8364), _u8365)), hAPP(c_Int_Oring__1__class_Oof__int(_u8364), _u8366))) )).
% 12.21/12.46 cnf(matrix-4042, plain, ( ~class_Rings_Oring__1(_u8367) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8368), _u8369)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8367), hAPP(c_Int_Oring__1__class_Oof__int(_u8367), _u8368)), hAPP(c_Int_Oring__1__class_Oof__int(_u8367), _u8369))) )).
% 12.21/12.46 cnf(matrix-4043, plain, ( ~class_Rings_Oring__1(_u8370) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8371), _u8372)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8370), hAPP(c_Int_Oring__1__class_Oof__int(_u8370), _u8371)), hAPP(c_Int_Oring__1__class_Oof__int(_u8370), _u8372))) )).
% 12.21/12.46 cnf(matrix-4044, plain, ( ~class_Rings_Oring__1(_u8373) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8373), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u8373)) )).
% 12.21/12.46 cnf(matrix-4045, plain, ( ~class_Rings_Oring__1(_u8374) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8374), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8375), _u8376)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8374), hAPP(c_Int_Oring__1__class_Oof__int(_u8374), _u8375)), hAPP(c_Int_Oring__1__class_Oof__int(_u8374), _u8376))) )).
% 12.21/12.46 cnf(matrix-4046, plain, ( ~class_Rings_Oring__1(_u8377) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8377), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8378)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8377), _u8378)) )).
% 12.21/12.46 cnf(matrix-4047, plain, ( ~class_Rings_Oring__1(_u8379) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8379), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8380)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8379), hAPP(c_Int_Oring__1__class_Oof__int(_u8379), _u8380))) )).
% 12.21/12.46 cnf(matrix-4048, plain, ( ~class_Rings_Oring__1(_u8381) | hBOOL(hAPP(hAPP(c_member(_u8381), hAPP(c_Int_Oring__1__class_Oof__int(_u8381), _u8382)), c_Int_Oring__1__class_OInts(_u8381))) )).
% 12.21/12.46 cnf(matrix-4049, plain, ( ~class_Rings_Oring__1(_u8383) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8383), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8384), _u8385)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8383), hAPP(c_Int_Oring__1__class_Oof__int(_u8383), _u8384)), _u8385)) )).
% 12.21/12.46 cnf(matrix-4050, plain, ( ~c_Nat__Transfer_Ois__nat(_u8387) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8387)) )).
% 12.21/12.46 cnf(matrix-4051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8388)) | c_Nat__Transfer_Ois__nat(_u8388) )).
% 12.21/12.46 cnf(matrix-4052, plain, ( ~class_Orderings_Oord(_u8389) | ~hBOOL(hAPP(hAPP(c_member(_u8389), _u8390), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8389), _u8391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8389), _u8391), _u8390)) )).
% 12.21/12.46 cnf(matrix-4053, plain, ( ~class_Orderings_Oord(_u8389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8389), _u8391), _u8390)) | hBOOL(hAPP(hAPP(c_member(_u8389), _u8390), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8389), _u8391))) )).
% 12.21/12.46 cnf(matrix-4054, plain, ( ~class_Orderings_Olinorder(_u8392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8392, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8392), _u8393)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8392), _u8394))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8392), _u8394), _u8393)) )).
% 12.21/12.46 cnf(matrix-4055, plain, ( ~class_Orderings_Olinorder(_u8392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8392), _u8394), _u8393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8392, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8392), _u8393)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8392), _u8394))) )).
% 12.21/12.46 cnf(matrix-4056, plain, ( ~class_Rings_Oring__1(_u8395) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8395), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8396, tc_Int_Oint), _u8397), _u8398)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8396, _u8395), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8395, _u8396), c_Int_Oring__1__class_Oof__int(_u8395)), _u8397)), _u8398)) )).
% 12.21/12.46 cnf(matrix-4057, plain, ( ~c_Nat__Transfer_Onat__set(_u8399) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8400), _u8399)) | c_Nat__Transfer_Ois__nat(_u8400) )).
% 12.21/12.46 cnf(matrix-4058, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8401) | ~class_Rings_Oring__1(_u8401) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8401), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8402, tc_Int_Oint), _u8403), _u8404)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8402, _u8401), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8401, _u8402), c_Int_Oring__1__class_Oof__int(_u8401)), _u8403)), _u8404)) )).
% 12.21/12.46 cnf(matrix-4059, 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))) )).
% 12.21/12.46 cnf(matrix-4060, plain, ( ~class_Rings_Olinordered__idom(_u8405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8405), c_Groups_Ozero__class_Ozero(_u8405)), hAPP(c_Int_Oring__1__class_Oof__int(_u8405), _u8406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8406)) )).
% 12.21/12.46 cnf(matrix-4061, plain, ( ~class_Rings_Olinordered__idom(_u8405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8405), c_Groups_Ozero__class_Ozero(_u8405)), hAPP(c_Int_Oring__1__class_Oof__int(_u8405), _u8406))) )).
% 12.21/12.46 cnf(matrix-4062, plain, ( ~class_Rings_Olinordered__idom(_u8407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8407), hAPP(c_Int_Oring__1__class_Oof__int(_u8407), _u8408)), c_Groups_Ozero__class_Ozero(_u8407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8408), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4063, plain, ( ~class_Rings_Olinordered__idom(_u8407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8408), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8407), hAPP(c_Int_Oring__1__class_Oof__int(_u8407), _u8408)), c_Groups_Ozero__class_Ozero(_u8407))) )).
% 12.21/12.46 cnf(matrix-4064, plain, ( ~class_Rings_Olinordered__idom(_u8409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8409), c_Groups_Ozero__class_Ozero(_u8409)), hAPP(c_Int_Oring__1__class_Oof__int(_u8409), _u8410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8410)) )).
% 12.21/12.46 cnf(matrix-4065, plain, ( ~class_Rings_Olinordered__idom(_u8409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8409), c_Groups_Ozero__class_Ozero(_u8409)), hAPP(c_Int_Oring__1__class_Oof__int(_u8409), _u8410))) )).
% 12.21/12.46 cnf(matrix-4066, plain, ( ~class_Rings_Olinordered__idom(_u8411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8411), hAPP(c_Int_Oring__1__class_Oof__int(_u8411), _u8412)), c_Groups_Ozero__class_Ozero(_u8411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8412), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4067, plain, ( ~class_Rings_Olinordered__idom(_u8411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8412), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8411), hAPP(c_Int_Oring__1__class_Oof__int(_u8411), _u8412)), c_Groups_Ozero__class_Ozero(_u8411))) )).
% 12.21/12.46 cnf(matrix-4068, plain, ( ~class_Rings_Oring__1(_u8413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8414)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8413), hAPP(c_Int_Onat, _u8414)) = hAPP(c_Int_Oring__1__class_Oof__int(_u8413), _u8414)) )).
% 12.21/12.46 cnf(matrix-4069, plain, ( ~class_Orderings_Olinorder(_u8415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8415), _u8416), _u8417)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8415, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8415, _u8416, _u8417)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8415), _u8417)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8415), _u8416)) )).
% 12.21/12.46 cnf(matrix-4070, plain, ( ~class_Groups_Oordered__ab__group__add(_u8418) | ( hAPP(c_Set_Oimage(_u8418, _u8418, c_Groups_Ouminus__class_Ouminus(_u8418)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8418), _u8419)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8418), hAPP(c_Groups_Ouminus__class_Ouminus(_u8418), _u8419))) )).
% 12.21/12.46 cnf(matrix-4071, plain, ( ~class_Groups_Oordered__ab__group__add(_u8420) | ( hAPP(c_Set_Oimage(_u8420, _u8420, c_Groups_Ouminus__class_Ouminus(_u8420)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8420), _u8421)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8420), hAPP(c_Groups_Ouminus__class_Ouminus(_u8420), _u8421))) )).
% 12.21/12.46 cnf(matrix-4072, plain, ( ~class_Orderings_Oorder(_u8422) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8422, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8422, _u8423, _u8424)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8422), _u8424)) = c_Orderings_Obot__class_Obot(tc_fun(_u8422, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4073, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8425)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u8425)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8425)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.21/12.46 cnf(matrix-4074, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8427, tc_Int_Oint), _u8429), _u8428) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8427, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8427), c_Int_Onat), _u8429)), _u8428))) | hBOOL(hAPP(hAPP(c_member(_u8427), skolem170(_u8429, _u8428, _u8427)), _u8428)) )).
% 12.21/12.46 cnf(matrix-4075, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8427, tc_Int_Oint), _u8429), _u8428) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8427, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8427), c_Int_Onat), _u8429)), _u8428))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8429, skolem170(_u8429, _u8428, _u8427))) )).
% 12.21/12.46 cnf(matrix-4076, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Int_Oint), _u8433), _u8432) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8431), c_Int_Onat), _u8433)), _u8432))) | hBOOL(hAPP(hAPP(c_member(_u8431), skolem171(_u8433, _u8432, _u8431)), _u8432)) )).
% 12.21/12.46 cnf(matrix-4077, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Int_Oint), _u8433), _u8432) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8431), c_Int_Onat), _u8433)), _u8432))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8433, skolem171(_u8433, _u8432, _u8431))) )).
% 12.21/12.46 cnf(matrix-4078, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u8435, skolem172(_u8437, _u8436, _u8435))), hAPP(_u8436, skolem172(_u8437, _u8436, _u8435)))) | ( 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), _u8436), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8437))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u8435), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8437))) = 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)), _u8436)), _u8435)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8437))) )).
% 12.21/12.46 cnf(matrix-4079, plain, ( ~class_Groups_Oab__group__add(_u8438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8439), _u8440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8438), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u8438, _u8438), hAPP(hAPP(c_COMBB(_u8438, tc_fun(_u8438, _u8438), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u8438)), _u8441)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8438, tc_Nat_Onat), _u8441), 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, _u8439, _u8440)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8438), hAPP(_u8441, _u8439)), hAPP(_u8441, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8440), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.21/12.46 cnf(matrix-4080, plain, ( ~class_Groups_Oab__group__add(_u8438) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8439), _u8440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8438), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u8438, _u8438), hAPP(hAPP(c_COMBB(_u8438, tc_fun(_u8438, _u8438), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u8438)), _u8441)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8438, tc_Nat_Onat), _u8441), 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, _u8439, _u8440)) = c_Groups_Ozero__class_Ozero(_u8438)) )).
% 12.21/12.46 cnf(matrix-4081, plain, ( ~class_Rings_Ocomm__semiring__1(_u8442) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8442), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8442), c_Groups_Oone__class_Oone(_u8442)), c_Groups_Oone__class_Oone(_u8442))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8442), c_Nat_Osemiring__1__class_Oof__nat(_u8442)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8443))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8442), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8442), _u8443)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8442), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8442), _u8443)), c_Groups_Oone__class_Oone(_u8442)))) )).
% 12.21/12.46 cnf(matrix-4082, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8444, _u8445))) )).
% 12.21/12.46 cnf(matrix-4083, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8447), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8452))) | hBOOL(hAPP(_u8454, _u8447)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem173(_u8454, _u8452)), _u8452)) )).
% 12.21/12.46 cnf(matrix-4084, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8447), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8452))) | hBOOL(hAPP(_u8454, _u8447)) | ~hBOOL(hAPP(_u8454, skolem173(_u8454, _u8452))) )).
% 12.21/12.46 cnf(matrix-4085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8449), _u8453)) | hBOOL(hAPP(_u8455, _u8449)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem174(_u8455, _u8453)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8453))) )).
% 12.21/12.46 cnf(matrix-4086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8449), _u8453)) | hBOOL(hAPP(_u8455, _u8449)) | ~hBOOL(hAPP(_u8455, skolem174(_u8455, _u8453))) )).
% 12.21/12.46 cnf(matrix-4087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8456), _u8462)) | ~hBOOL(hAPP(_u8464, _u8456)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem175(_u8464, _u8462)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8462))) )).
% 12.21/12.46 cnf(matrix-4088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8456), _u8462)) | ~hBOOL(hAPP(_u8464, _u8456)) | hBOOL(hAPP(_u8464, skolem175(_u8464, _u8462))) )).
% 12.21/12.46 cnf(matrix-4089, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8458), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8463))) | ~hBOOL(hAPP(_u8465, _u8458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem176(_u8465, _u8463)), _u8463)) )).
% 12.21/12.46 cnf(matrix-4090, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8458), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8463))) | ~hBOOL(hAPP(_u8465, _u8458)) | hBOOL(hAPP(_u8465, skolem176(_u8465, _u8463))) )).
% 12.21/12.46 cnf(matrix-4091, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8466), hAPP(c_Nat_OSuc, _u8467)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8466, _u8467)) )).
% 12.21/12.46 cnf(matrix-4092, plain, ( ~class_Orderings_Oorder(_u8468) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8468, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u8468, _u8469, _u8470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8468), _u8469), _u8470)) )).
% 12.21/12.46 cnf(matrix-4093, plain, ( ~class_Orderings_Oorder(_u8468) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8468), _u8469), _u8470)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8468, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8468, _u8469, _u8470)) )).
% 12.21/12.46 cnf(matrix-4094, plain, ( ~class_Orderings_Oorder(_u8471) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8471, _u8472, _u8473) != c_Orderings_Obot__class_Obot(tc_fun(_u8471, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), _u8472), _u8473)) )).
% 12.21/12.46 cnf(matrix-4095, plain, ( ~class_Orderings_Oorder(_u8471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8471), _u8472), _u8473)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8471, _u8472, _u8473) = c_Orderings_Obot__class_Obot(tc_fun(_u8471, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4096, plain, ( ~class_Orderings_Oorder(_u8474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8474), _u8475), _u8476)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8474, _u8476, _u8475) = c_Orderings_Obot__class_Obot(tc_fun(_u8474, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4097, plain, ( ~class_Orderings_Oorder(_u8477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8477, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8478, _u8479)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8480, _u8481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8478), _u8479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8480), _u8478)) )).
% 12.21/12.46 cnf(matrix-4098, plain, ( ~class_Orderings_Oorder(_u8477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8477, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8478, _u8479)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8480, _u8481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8478), _u8479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8479), _u8481)) )).
% 12.21/12.46 cnf(matrix-4099, plain, ( ~class_Orderings_Oorder(_u8477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8477, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8478, _u8479)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8480, _u8481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8478), _u8479)) )).
% 12.21/12.46 cnf(matrix-4100, plain, ( ~class_Orderings_Oorder(_u8477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8477, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8478, _u8479)), c_SetInterval_Oord__class_OatLeastAtMost(_u8477, _u8480, _u8481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8480), _u8478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8477), _u8479), _u8481)) )).
% 12.21/12.46 cnf(matrix-4101, plain, ( ~class_Orderings_Oorder(_u8482) | ( _u8483 != _u8484) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8482, _u8483, _u8484) = hAPP(hAPP(c_Set_Oinsert(_u8482), _u8483), c_Orderings_Obot__class_Obot(tc_fun(_u8482, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4102, plain, ( ~class_Orderings_Oorder(_u8485) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8485, _u8486, _u8487) != hAPP(hAPP(c_Set_Oinsert(_u8485), _u8488), c_Orderings_Obot__class_Obot(tc_fun(_u8485, tc_HOL_Obool)))) | ( _u8486 = _u8487) )).
% 12.21/12.46 cnf(matrix-4103, plain, ( ~class_Orderings_Oorder(_u8485) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8485, _u8486, _u8487) != hAPP(hAPP(c_Set_Oinsert(_u8485), _u8488), c_Orderings_Obot__class_Obot(tc_fun(_u8485, tc_HOL_Obool)))) | ( _u8487 = _u8488) )).
% 12.21/12.46 cnf(matrix-4104, plain, ( ~class_Orderings_Oorder(_u8485) | ( _u8486 != _u8487) | ( _u8487 != _u8488) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8485, _u8486, _u8487) = hAPP(hAPP(c_Set_Oinsert(_u8485), _u8488), c_Orderings_Obot__class_Obot(tc_fun(_u8485, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4105, plain, ( ~class_Orderings_Oorder(_u8489) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u8489, _u8490, _u8490) = hAPP(hAPP(c_Set_Oinsert(_u8489), _u8490), c_Orderings_Obot__class_Obot(tc_fun(_u8489, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4106, plain, ( ~class_Groups_Oordered__ab__group__add(_u8491) | ( hAPP(c_Set_Oimage(_u8491, _u8491, c_Groups_Ouminus__class_Ouminus(_u8491)), c_SetInterval_Oord__class_OatLeastAtMost(_u8491, _u8492, _u8493)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8491, hAPP(c_Groups_Ouminus__class_Ouminus(_u8491), _u8493), hAPP(c_Groups_Ouminus__class_Ouminus(_u8491), _u8492))) )).
% 12.21/12.46 cnf(matrix-4107, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8494, _u8495)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8494), hAPP(c_Nat_OSuc, _u8495))) )).
% 12.21/12.46 cnf(matrix-4108, plain, ( ~class_Groups_Ocomm__monoid__add(_u8496) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8496), _u8497), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8498), hAPP(c_Nat_OSuc, _u8499))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8496), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8496, tc_Nat_Onat), _u8497), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8498, _u8499))) )).
% 12.21/12.46 cnf(matrix-4109, plain, ( ~class_Groups_Ocomm__monoid__add(_u8500) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8500), _u8501), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8502), _u8503), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8504), _u8503))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8500), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8500, tc_Nat_Onat), _u8501), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8503))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8502, _u8504))) )).
% 12.21/12.46 cnf(matrix-4110, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8505), _u8506) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8505, _u8506)) )).
% 12.21/12.46 cnf(matrix-4111, 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)), _u8507)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8508, _u8509)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8508), _u8507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8509), _u8507))) )).
% 12.21/12.46 cnf(matrix-4112, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8510, _u8511)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8511)), _u8510)) )).
% 12.21/12.46 cnf(matrix-4113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8512), hAPP(c_Nat_OSuc, _u8513))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8512, hAPP(c_Nat_OSuc, _u8513)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8513)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8512, _u8513))) )).
% 12.21/12.46 cnf(matrix-4114, plain, ( ( hAPP(_u8514, 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), _u8514), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8515)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u8514), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8515))) )).
% 12.21/12.46 cnf(matrix-4115, plain, ( ~class_Orderings_Olinorder(_u8516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8516), _u8517), _u8518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8516), _u8518), _u8519)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8516, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8516, _u8517), _u8518)), c_SetInterval_Oord__class_OatLeastAtMost(_u8516, _u8518, _u8519)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8516, _u8517, _u8519)) )).
% 12.21/12.46 cnf(matrix-4116, plain, ( ~class_Orderings_Oorder(_u8520) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8520, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8520, _u8521), _u8522)), c_SetInterval_Oord__class_OatLeastAtMost(_u8520, _u8522, _u8523)) = c_Orderings_Obot__class_Obot(tc_fun(_u8520, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4117, plain, ( ~class_Orderings_Olinorder(_u8524) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8524, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8524, _u8525, _u8526)), c_SetInterval_Oord__class_OatLeastAtMost(_u8524, _u8527, _u8528)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8524, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8524), _u8525), _u8527), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8524), _u8526), _u8528))) )).
% 12.21/12.46 cnf(matrix-4118, plain, ( ~class_Orderings_Oorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8530)) )).
% 12.21/12.46 cnf(matrix-4119, plain, ( ~class_Orderings_Oorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8531), _u8533)) )).
% 12.21/12.46 cnf(matrix-4120, plain, ( ~class_Orderings_Oorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8529), _u8532), _u8530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8529), _u8531), _u8533)) )).
% 12.21/12.46 cnf(matrix-4121, plain, ( ~class_Orderings_Oorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8533)) )).
% 12.21/12.46 cnf(matrix-4122, plain, ( ~class_Orderings_Oorder(_u8529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) )).
% 12.21/12.46 cnf(matrix-4123, plain, ( ~class_Orderings_Oorder(_u8529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8531), _u8533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8529), _u8532), _u8530)) )).
% 12.21/12.46 cnf(matrix-4124, plain, ( ~class_Orderings_Oorder(_u8529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8529, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8530, _u8531)), c_SetInterval_Oord__class_OatLeastAtMost(_u8529, _u8532, _u8533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8531), _u8533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8529), _u8531), _u8533)) )).
% 12.21/12.46 cnf(matrix-4125, plain, ( ~class_Orderings_Olinorder(_u8534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8534), _u8535), _u8536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8534), _u8536), _u8537)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8534, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8534, _u8535, _u8536)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8534, _u8536, _u8537)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8534, _u8535, _u8537)) )).
% 12.21/12.46 cnf(matrix-4126, plain, ( ~class_Orderings_Oorder(_u8538) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8538, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8538), _u8539)), c_SetInterval_Oord__class_OatLeastAtMost(_u8538, _u8539, _u8540)) = c_Orderings_Obot__class_Obot(tc_fun(_u8538, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4127, plain, ( ~class_Orderings_Oorder(_u8541) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8541, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8541, _u8542, _u8543)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8541, _u8543, _u8544)) = c_Orderings_Obot__class_Obot(tc_fun(_u8541, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4128, plain, ( ~class_Orderings_Oorder(_u8545) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8545, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8545, _u8546, _u8547)), c_SetInterval_Oord__class_OatLeastAtMost(_u8545, _u8547, _u8548)) = c_Orderings_Obot__class_Obot(tc_fun(_u8545, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4129, plain, ( ~class_Orderings_Oorder(_u8549) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8549, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8549, _u8550, _u8551)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8549, _u8551, _u8552)) = c_Orderings_Obot__class_Obot(tc_fun(_u8549, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4130, plain, ( ~class_Orderings_Oorder(_u8553) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8553, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8553, _u8554, _u8555)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8553), _u8555)) = c_Orderings_Obot__class_Obot(tc_fun(_u8553, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4131, plain, ( ~class_Groups_Ocomm__monoid__add(_u8556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8557), _u8558)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8556), _u8559), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8557, _u8558)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8556), hAPP(_u8559, _u8557)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8556), _u8559), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8557), _u8558)))) )).
% 12.21/12.46 cnf(matrix-4132, plain, ( ~class_Groups_Ocomm__monoid__add(_u8560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8561)), _u8562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8560), _u8563), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8562, hAPP(c_Nat_OSuc, _u8561))) = c_Groups_Ozero__class_Ozero(_u8560)) )).
% 12.21/12.46 cnf(matrix-4133, plain, ( ~class_Groups_Ocomm__monoid__add(_u8560) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8561)), _u8562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8560), _u8563), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8562, hAPP(c_Nat_OSuc, _u8561))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8560), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8560), _u8563), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8562, _u8561))), hAPP(_u8563, hAPP(c_Nat_OSuc, _u8561)))) )).
% 12.21/12.46 cnf(matrix-4134, plain, ( ~class_Groups_Ocomm__monoid__add(_u8564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8565), _u8566)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8564), _u8567), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8565, _u8566)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8564), hAPP(_u8567, _u8565)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8564), _u8567), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8565, _u8566)))) )).
% 12.21/12.46 cnf(matrix-4135, plain, ( ~class_Groups_Ocomm__monoid__add(_u8568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8570), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8568), _u8571), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8569, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8570), _u8572))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8568), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8568), _u8571), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8569, _u8570))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8568), _u8571), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8570), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8570), _u8572))))) )).
% 12.21/12.46 cnf(matrix-4136, plain, ( ~class_Orderings_Olinorder(_u8573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8574), _u8575)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8573, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8573, _u8574), _u8575)), hAPP(hAPP(c_Set_Oinsert(_u8573), _u8575), c_Orderings_Obot__class_Obot(tc_fun(_u8573, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u8573, _u8574, _u8575)) )).
% 12.21/12.46 cnf(matrix-4137, plain, ( ~class_Orderings_Olinorder(_u8576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8576), _u8577), _u8578)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8576, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8576), _u8577), c_Orderings_Obot__class_Obot(tc_fun(_u8576, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8576, _u8577, _u8578)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8576, _u8577, _u8578)) )).
% 12.21/12.46 cnf(matrix-4138, plain, ( ~class_Orderings_Olinorder(_u8579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8579), _u8580), _u8581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8579), _u8581), _u8582)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8579, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8579, _u8580, _u8581)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8579, _u8581, _u8582)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8579, _u8580), _u8582)) )).
% 12.21/12.46 cnf(matrix-4139, plain, ( ~class_Orderings_Olinorder(_u8583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8583), _u8584), _u8585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8583), _u8585), _u8586)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8583, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8583, _u8584, _u8585)), c_SetInterval_Oord__class_OatLeastAtMost(_u8583, _u8585, _u8586)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8583, _u8584, _u8586)) )).
% 12.21/12.46 cnf(matrix-4140, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8587)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u8587)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8587), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.21/12.46 cnf(matrix-4141, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8588, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8589)), _u8590) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8588, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8588, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8589)), _u8590)), hAPP(_u8590, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-4142, plain, ( ~class_Orderings_Olinorder(_u8591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8591), _u8592), _u8593)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8591, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8591, _u8592, _u8593)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8591), _u8593)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8591), _u8592)) )).
% 12.21/12.46 cnf(matrix-4143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8598)) | ~hBOOL(hAPP(_u8597, _u8595)) | hBOOL(hAPP(_u8597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8598), _u8596)))) | hBOOL(hAPP(_u8597, skolem177(_u8598, _u8597, _u8596))) )).
% 12.21/12.46 cnf(matrix-4144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8598)) | ~hBOOL(hAPP(_u8597, _u8595)) | hBOOL(hAPP(_u8597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8598), _u8596)))) | ~hBOOL(hAPP(_u8597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem177(_u8598, _u8597, _u8596)), _u8596))) )).
% 12.21/12.46 cnf(matrix-4145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8600), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8600 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem178(_u8600))))) )).
% 12.21/12.46 cnf(matrix-4146, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8601, _u8602))) )).
% 12.21/12.46 cnf(matrix-4147, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8603))) )).
% 12.21/12.46 cnf(matrix-4148, plain, ( ~class_Orderings_Olinorder(_u8604) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8604), _u8605) != hAPP(c_SetInterval_Oord__class_OatMost(_u8604), _u8606)) | ( _u8605 = _u8606) )).
% 12.21/12.46 cnf(matrix-4149, plain, ( ~class_Orderings_Olinorder(_u8604) | ( _u8605 != _u8606) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8604), _u8605) = hAPP(c_SetInterval_Oord__class_OatMost(_u8604), _u8606)) )).
% 12.21/12.46 cnf(matrix-4150, plain, ( ~class_Orderings_Olinorder(_u8607) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8607), _u8608) != hAPP(c_SetInterval_Oord__class_OatLeast(_u8607), _u8609)) | ( _u8608 = _u8609) )).
% 12.21/12.46 cnf(matrix-4151, plain, ( ~class_Orderings_Olinorder(_u8607) | ( _u8608 != _u8609) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8607), _u8608) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8607), _u8609)) )).
% 12.21/12.46 cnf(matrix-4152, plain, ( ~class_Groups_Oordered__ab__group__add(_u8610) | ( hAPP(c_Set_Oimage(_u8610, _u8610, c_Groups_Ouminus__class_Ouminus(_u8610)), hAPP(c_SetInterval_Oord__class_OatMost(_u8610), _u8611)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8610), hAPP(c_Groups_Ouminus__class_Ouminus(_u8610), _u8611))) )).
% 12.21/12.46 cnf(matrix-4153, plain, ( ~class_Groups_Oordered__ab__group__add(_u8612) | ( hAPP(c_Set_Oimage(_u8612, _u8612, c_Groups_Ouminus__class_Ouminus(_u8612)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8612), _u8613)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8612), hAPP(c_Groups_Ouminus__class_Ouminus(_u8612), _u8613))) )).
% 12.21/12.46 cnf(matrix-4154, plain, ( ~class_Orderings_Oorder(_u8614) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8614, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8614), _u8615)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8614), _u8615)) = hAPP(hAPP(c_Set_Oinsert(_u8614), _u8615), c_Orderings_Obot__class_Obot(tc_fun(_u8614, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4155, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8616) = 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), _u8616)))) )).
% 12.21/12.46 cnf(matrix-4156, plain, ( ~c_Nat__Transfer_Ois__nat(_u8617) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8617, _u8618)) )).
% 12.21/12.46 cnf(matrix-4157, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8619) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8619)) )).
% 12.21/12.46 cnf(matrix-4158, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8620)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8620)) )).
% 12.21/12.46 cnf(matrix-4159, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8621)) = hAPP(c_Nat_OSuc, _u8621)) )).
% 12.21/12.46 cnf(matrix-4160, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8622)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8622)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8622))) )).
% 12.21/12.46 cnf(matrix-4161, plain, ( ~class_Orderings_Oord(_u8623) | ~hBOOL(hAPP(hAPP(c_member(_u8623), _u8624), hAPP(c_SetInterval_Oord__class_OatMost(_u8623), _u8625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), _u8625)) )).
% 12.21/12.46 cnf(matrix-4162, plain, ( ~class_Orderings_Oord(_u8623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), _u8625)) | hBOOL(hAPP(hAPP(c_member(_u8623), _u8624), hAPP(c_SetInterval_Oord__class_OatMost(_u8623), _u8625))) )).
% 12.21/12.46 cnf(matrix-4163, plain, ( ~class_Orderings_Oord(_u8626) | ~hBOOL(hAPP(hAPP(c_member(_u8626), _u8627), hAPP(c_SetInterval_Oord__class_OatLeast(_u8626), _u8628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8626), _u8628), _u8627)) )).
% 12.21/12.46 cnf(matrix-4164, plain, ( ~class_Orderings_Oord(_u8626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8626), _u8628), _u8627)) | hBOOL(hAPP(hAPP(c_member(_u8626), _u8627), hAPP(c_SetInterval_Oord__class_OatLeast(_u8626), _u8628))) )).
% 12.21/12.46 cnf(matrix-4165, plain, ( ~class_Orderings_Oorder(_u8629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8629, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8629), _u8630)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8629), _u8631))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8629), _u8631), _u8630)) )).
% 12.21/12.46 cnf(matrix-4166, plain, ( ~class_Orderings_Oorder(_u8629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8629), _u8631), _u8630)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8629, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8629), _u8630)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8629), _u8631))) )).
% 12.21/12.46 cnf(matrix-4167, plain, ( ~class_Orderings_Oorder(_u8632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8632, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8632), _u8633)), hAPP(c_SetInterval_Oord__class_OatMost(_u8632), _u8634))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8632), _u8633), _u8634)) )).
% 12.21/12.46 cnf(matrix-4168, plain, ( ~class_Orderings_Oorder(_u8632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8632), _u8633), _u8634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8632, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8632), _u8633)), hAPP(c_SetInterval_Oord__class_OatMost(_u8632), _u8634))) )).
% 12.21/12.46 cnf(matrix-4169, 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))) )).
% 12.21/12.46 cnf(matrix-4170, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8635)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8635, _u8636)) )).
% 12.21/12.46 cnf(matrix-4171, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u8637), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8638), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8637, _u8638)) )).
% 12.21/12.46 cnf(matrix-4172, plain, ( ~class_Orderings_Olinorder(_u8639) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8639, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8639), _u8640)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8639), _u8640)) )).
% 12.21/12.46 cnf(matrix-4173, plain, ( ~class_Orderings_Olinorder(_u8641) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8641, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8641), _u8642)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8641), _u8642)) )).
% 12.21/12.46 cnf(matrix-4174, plain, ( ~class_Orderings_Olinorder(_u8643) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8643, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8643), _u8644)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8643), _u8644)) )).
% 12.21/12.46 cnf(matrix-4175, plain, ( ~class_Orderings_Olinorder(_u8645) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8645, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8645), _u8646)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8645), _u8646)) )).
% 12.21/12.46 cnf(matrix-4176, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8647), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8648) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u8647, _u8648)) )).
% 12.21/12.46 cnf(matrix-4177, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8649)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u8649)) )).
% 12.21/12.46 cnf(matrix-4178, 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))) )).
% 12.21/12.46 cnf(matrix-4179, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8650, _u8651) = 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), _u8650), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8651)))) )).
% 12.21/12.46 cnf(matrix-4180, plain, ( ~class_Groups_Ocomm__monoid__add(_u8652) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8652), _u8653), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8654))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8652), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8652), _u8653), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8654))), hAPP(_u8653, hAPP(c_Nat_OSuc, _u8654)))) )).
% 12.21/12.46 cnf(matrix-4181, 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)))) )).
% 12.21/12.46 cnf(matrix-4182, plain, ( ~class_Orderings_Olinorder(_u8655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8655), _u8656), _u8657)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8655, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8655, _u8656), _u8657)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8655), _u8657)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8655), _u8656)) )).
% 12.21/12.46 cnf(matrix-4183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8660), _u8662)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8662, _u8660) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4184, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8661), _u8663)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8663, _u8661) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u8663), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8663), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8661))) )).
% 12.21/12.46 cnf(matrix-4185, plain, ( ~class_Orderings_Oorder(_u8664) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8664, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8664, _u8665), _u8666)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8664), _u8666)) = c_Orderings_Obot__class_Obot(tc_fun(_u8664, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4186, plain, ( ~class_Orderings_Olinorder(_u8667) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8667, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8667), _u8668)), c_SetInterval_Oord__class_OatLeastAtMost(_u8667, _u8669, _u8670)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8667, _u8669, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8667), _u8668), _u8670))) )).
% 12.21/12.46 cnf(matrix-4187, plain, ( ~class_Orderings_Olinorder(_u8671) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8671, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8671, _u8672, _u8673)), hAPP(c_SetInterval_Oord__class_OatMost(_u8671), _u8674)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8671, _u8672, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8671), _u8673), _u8674))) )).
% 12.21/12.46 cnf(matrix-4188, plain, ( ~class_Orderings_Olinorder(_u8675) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8675, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8675), _u8676)), c_SetInterval_Oord__class_OatLeastAtMost(_u8675, _u8677, _u8678)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8675, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8675), _u8676), _u8677), _u8678)) )).
% 12.21/12.46 cnf(matrix-4189, plain, ( ~class_Orderings_Olinorder(_u8679) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8679, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8679, _u8680, _u8681)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8679), _u8682)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8679, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8679), _u8680), _u8682), _u8681)) )).
% 12.21/12.46 cnf(matrix-4190, 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))) )).
% 12.21/12.46 cnf(matrix-4191, plain, ( ~class_Orderings_Olinorder(_u8683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8683), _u8684), _u8685)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8683, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8683), _u8684)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8683, _u8684, _u8685)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8683), _u8685)) )).
% 12.21/12.46 cnf(matrix-4192, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8686, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8687)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8686, tc_HOL_Obool), tc_Nat_Onat), _u8688), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8689))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8686, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8689, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8687), _u8689))), _u8688)) )).
% 12.21/12.46 cnf(matrix-4193, plain, ( ~class_Orderings_Oorder(_u8690) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8690, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8690), _u8691)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8690, _u8691, _u8692)) = c_Orderings_Obot__class_Obot(tc_fun(_u8690, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4194, plain, ( ~class_Orderings_Oorder(_u8693) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8693, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8693), _u8694)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8693, _u8694, _u8695)) = c_Orderings_Obot__class_Obot(tc_fun(_u8693, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4195, plain, ( ~class_Orderings_Oorder(_u8696) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8696, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8696, _u8697, _u8698)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8696), _u8698)) = c_Orderings_Obot__class_Obot(tc_fun(_u8696, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4196, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8699, _u8700)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8700), _u8699)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.46 cnf(matrix-4197, plain, ( ~c_Nat__Transfer_Ois__nat(_u8701) | ~c_Nat__Transfer_Ois__nat(_u8702) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8701, _u8702) = 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, _u8701), hAPP(c_Int_Onat, _u8702)))) )).
% 12.21/12.46 cnf(matrix-4198, plain, ( ~class_Orderings_Olinorder(_u8703) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8703, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8703), _u8704)), hAPP(hAPP(c_Set_Oinsert(_u8703), _u8704), c_Orderings_Obot__class_Obot(tc_fun(_u8703, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u8703), _u8704)) )).
% 12.21/12.46 cnf(matrix-4199, plain, ( ~class_Orderings_Olinorder(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), _u8706), _u8707)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8705, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8705), _u8706)), c_SetInterval_Oord__class_OatLeastAtMost(_u8705, _u8706, _u8707)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8705), _u8707)) )).
% 12.21/12.46 cnf(matrix-4200, plain, ( ~class_Orderings_Olinorder(_u8708) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8708, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8708), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8708, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8708), _u8709)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8708), _u8709)) )).
% 12.21/12.46 cnf(matrix-4201, plain, ( ~class_Orderings_Olinorder(_u8710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8710), _u8711), _u8712)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8710, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8710, _u8711, _u8712)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8710), _u8712)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8710), _u8711)) )).
% 12.21/12.46 cnf(matrix-4202, plain, ( ~class_Orderings_Olinorder(_u8713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8713), _u8714), _u8715)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8713, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8713), _u8714)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8713, _u8714, _u8715)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8713), _u8715)) )).
% 12.21/12.46 cnf(matrix-4203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8719)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8720), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8718), _u8720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8718), _u8719)), _u8720)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem179(_u8721, _u8720, _u8719, _u8718)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8719))) )).
% 12.21/12.46 cnf(matrix-4204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8719)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8720), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8718), _u8720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8718), _u8719)), _u8720)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem180(_u8721, _u8720, _u8719, _u8718)), _u8721)) )).
% 12.21/12.46 cnf(matrix-4205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8719)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8720), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8718), _u8720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8718), _u8719)), _u8720)) | ( _u8718 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem180(_u8721, _u8720, _u8719, _u8718)), skolem179(_u8721, _u8720, _u8719, _u8718))) )).
% 12.21/12.46 cnf(matrix-4206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8725)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8726), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8724), _u8725))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem181(_u8727, _u8726, _u8725, _u8724)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8725))) )).
% 12.21/12.46 cnf(matrix-4207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8725)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8726), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8724), _u8725))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem182(_u8727, _u8726, _u8725, _u8724)), _u8727)) )).
% 12.21/12.46 cnf(matrix-4208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8725)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8726), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8726), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8724), _u8725))) | ( _u8724 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem182(_u8727, _u8726, _u8725, _u8724)), skolem181(_u8727, _u8726, _u8725, _u8724))) )).
% 12.21/12.46 cnf(matrix-4209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8731)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8732), _u8733)) | ( _u8730 = _u8732) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8730), _u8731) != _u8732) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem183(_u8733, _u8732, _u8731, _u8730)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8731))) )).
% 12.21/12.46 cnf(matrix-4210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8731)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8732), _u8733)) | ( _u8730 = _u8732) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8730), _u8731) != _u8732) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem184(_u8733, _u8732, _u8731, _u8730)), _u8733)) )).
% 12.21/12.46 cnf(matrix-4211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8731)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8732), _u8733)) | ( _u8730 = _u8732) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8730), _u8731) != _u8732) | ( _u8730 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem184(_u8733, _u8732, _u8731, _u8730)), skolem183(_u8733, _u8732, _u8731, _u8730))) )).
% 12.21/12.46 cnf(matrix-4212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8737)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8738), _u8739)) | ( _u8736 = _u8738) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8736), _u8737) != _u8738) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem185(_u8739, _u8738, _u8737, _u8736)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8737))) )).
% 12.21/12.46 cnf(matrix-4213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8737)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8738), _u8739)) | ( _u8736 = _u8738) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8736), _u8737) != _u8738) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem186(_u8739, _u8738, _u8737, _u8736)), _u8739)) )).
% 12.21/12.46 cnf(matrix-4214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8737)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8738), _u8739)) | ( _u8736 = _u8738) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8736), _u8737) != _u8738) | ( _u8736 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem186(_u8739, _u8738, _u8737, _u8736)), skolem185(_u8739, _u8738, _u8737, _u8736))) )).
% 12.21/12.46 cnf(matrix-4215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8743)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8744), _u8745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), _u8742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8742), _u8743))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem187(_u8745, _u8744, _u8743, _u8742)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8743))) )).
% 12.21/12.46 cnf(matrix-4216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8743)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8744), _u8745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), _u8742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8742), _u8743))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem188(_u8745, _u8744, _u8743, _u8742)), _u8745)) )).
% 12.21/12.46 cnf(matrix-4217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8743)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8744), _u8745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), _u8742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8744), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8742), _u8743))) | ( _u8742 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem188(_u8745, _u8744, _u8743, _u8742)), skolem187(_u8745, _u8744, _u8743, _u8742))) )).
% 12.21/12.46 cnf(matrix-4218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8748)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8750)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), _u8748) = _u8749) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem189(_u8750, _u8749, _u8748)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8748))) )).
% 12.21/12.46 cnf(matrix-4219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8748)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8750)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), _u8748) = _u8749) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem190(_u8750, _u8749, _u8748)), _u8750)) )).
% 12.21/12.46 cnf(matrix-4220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8748)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8750)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8749), _u8748) = _u8749) | ( _u8749 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem190(_u8750, _u8749, _u8748)), skolem189(_u8750, _u8749, _u8748))) )).
% 12.21/12.46 cnf(matrix-4221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8753)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8755)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), _u8753) = _u8754) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u8755, _u8754, _u8753)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8753))) )).
% 12.21/12.46 cnf(matrix-4222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8753)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8755)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), _u8753) = _u8754) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u8755, _u8754, _u8753)), _u8755)) )).
% 12.21/12.46 cnf(matrix-4223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8753)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8755)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8754), _u8753) = _u8754) | ( _u8754 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem192(_u8755, _u8754, _u8753)), skolem191(_u8755, _u8754, _u8753))) )).
% 12.21/12.46 cnf(matrix-4224, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8759)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8760), _u8761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8758), _u8760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8758), _u8759)), _u8760)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u8761, _u8760, _u8759, _u8758)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8759))) )).
% 12.21/12.46 cnf(matrix-4225, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8759)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8760), _u8761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8758), _u8760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8758), _u8759)), _u8760)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u8761, _u8760, _u8759, _u8758)), _u8761)) )).
% 12.21/12.46 cnf(matrix-4226, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8759)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8760), _u8761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8758), _u8760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8758), _u8759)), _u8760)) | ( _u8758 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem194(_u8761, _u8760, _u8759, _u8758)), skolem193(_u8761, _u8760, _u8759, _u8758))) )).
% 12.21/12.46 cnf(matrix-4227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8764), _u8767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8764), _u8765)), _u8767)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u8767, _u8766, _u8765, _u8764)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8765))) )).
% 12.21/12.46 cnf(matrix-4228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8764), _u8767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8764), _u8765)), _u8767)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u8767, _u8766, _u8765, _u8764)), _u8766)) )).
% 12.21/12.46 cnf(matrix-4229, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8764), _u8767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8764), _u8765)), _u8767)) | ( _u8764 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem196(_u8767, _u8766, _u8765, _u8764)), skolem195(_u8767, _u8766, _u8765, _u8764))) )).
% 12.21/12.46 cnf(matrix-4230, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), _u8770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8770), _u8771))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem197(_u8773, _u8772, _u8771, _u8770)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8771))) )).
% 12.21/12.46 cnf(matrix-4231, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), _u8770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8770), _u8771))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem198(_u8773, _u8772, _u8771, _u8770)), _u8772)) )).
% 12.21/12.46 cnf(matrix-4232, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), _u8770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8770), _u8771))) | ( _u8770 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem198(_u8773, _u8772, _u8771, _u8770)), skolem197(_u8773, _u8772, _u8771, _u8770))) )).
% 12.21/12.46 cnf(matrix-4233, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u8781, _u8780)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.21/12.46 cnf(matrix-4234, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u8781, _u8780)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.21/12.46 cnf(matrix-4235, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(_u8781, skolem203(_u8781, _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.21/12.46 cnf(matrix-4236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(_u8781, skolem203(_u8781, _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.21/12.46 cnf(matrix-4237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u8781, _u8780)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.21/12.46 cnf(matrix-4238, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u8781, _u8780)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.21/12.46 cnf(matrix-4239, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(_u8781, skolem203(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.21/12.46 cnf(matrix-4240, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(_u8781, _u8776)) | hBOOL(hAPP(_u8781, skolem203(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.21/12.46 cnf(matrix-4241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8778), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, _u8778)) | hBOOL(hAPP(_u8781, skolem204(_u8781, _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.21/12.46 cnf(matrix-4242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8778), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, _u8778)) | hBOOL(hAPP(_u8781, skolem204(_u8781, _u8780))) | hBOOL(hAPP(_u8781, skolem199(_u8781, _u8780))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.21/12.46 cnf(matrix-4243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8778), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, _u8778)) | hBOOL(hAPP(_u8781, skolem204(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | ~hBOOL(hAPP(_u8781, skolem201(_u8781, _u8780))) )).
% 12.21/12.46 cnf(matrix-4244, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8780)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8778), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8780))) | ~hBOOL(hAPP(_u8781, _u8778)) | hBOOL(hAPP(_u8781, skolem204(_u8781, _u8780))) | ~hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem199(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem200(_u8781, _u8780)), _u8780)))) | hBOOL(hAPP(_u8781, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u8781, _u8780)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem202(_u8781, _u8780)), _u8780)))) )).
% 12.21/12.46 cnf(matrix-4245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8788), _u8791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8788), _u8789)), _u8791)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem205(_u8791, _u8790, _u8789, _u8788)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8789))) )).
% 12.21/12.46 cnf(matrix-4246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8788), _u8791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8788), _u8789)), _u8791)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem206(_u8791, _u8790, _u8789, _u8788)), _u8790)) )).
% 12.21/12.46 cnf(matrix-4247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8788), _u8791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8788), _u8789)), _u8791)) | ( _u8788 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem206(_u8791, _u8790, _u8789, _u8788)), skolem205(_u8791, _u8790, _u8789, _u8788))) )).
% 12.21/12.46 cnf(matrix-4248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), _u8794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8794), _u8795))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem207(_u8797, _u8796, _u8795, _u8794)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u8795))) )).
% 12.21/12.46 cnf(matrix-4249, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), _u8794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8794), _u8795))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem208(_u8797, _u8796, _u8795, _u8794)), _u8796)) )).
% 12.21/12.46 cnf(matrix-4250, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), _u8794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8797), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8794), _u8795))) | ( _u8794 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem208(_u8797, _u8796, _u8795, _u8794)), skolem207(_u8797, _u8796, _u8795, _u8794))) )).
% 12.21/12.46 cnf(matrix-4251, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8802)) | ~hBOOL(hAPP(_u8801, _u8799)) | hBOOL(hAPP(_u8801, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8799), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8802), _u8800)))) | hBOOL(hAPP(_u8801, skolem209(_u8802, _u8801, _u8800))) )).
% 12.21/12.46 cnf(matrix-4252, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8802)) | ~hBOOL(hAPP(_u8801, _u8799)) | hBOOL(hAPP(_u8801, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8799), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8802), _u8800)))) | ~hBOOL(hAPP(_u8801, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem209(_u8802, _u8801, _u8800)), _u8800))) )).
% 12.21/12.46 cnf(matrix-4253, plain, ( hBOOL(hAPP(_u8805, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8805, _u8806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem210(_u8806, _u8805)), _u8806)) )).
% 12.21/12.46 cnf(matrix-4254, plain, ( hBOOL(hAPP(_u8805, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8805, _u8806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8803), skolem210(_u8806, _u8805))) | ~hBOOL(hAPP(_u8805, _u8803)) )).
% 12.21/12.46 cnf(matrix-4255, plain, ( hBOOL(hAPP(_u8805, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8805, _u8806)) | hBOOL(hAPP(_u8805, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem210(_u8806, _u8805)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-4256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem211(_u8808))) )).
% 12.21/12.46 cnf(matrix-4257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8808)) | ( _u8808 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem211(_u8808))) )).
% 12.21/12.46 cnf(matrix-4258, plain, ( ~class_Groups_Ocomm__monoid__add(_u8810) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8811), _u8812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8811, tc_HOL_Obool)), _u8813), _u8812)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8811, _u8810), _u8814), _u8812) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8811, _u8810), _u8814), _u8813)) | hBOOL(hAPP(hAPP(c_member(_u8811), skolem212(_u8814, _u8813, _u8812, _u8811, _u8810)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8811, tc_HOL_Obool)), _u8812), _u8813))) )).
% 12.21/12.46 cnf(matrix-4259, plain, ( ~class_Groups_Ocomm__monoid__add(_u8810) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8811), _u8812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8811, tc_HOL_Obool)), _u8813), _u8812)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8811, _u8810), _u8814), _u8812) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8811, _u8810), _u8814), _u8813)) | ( hAPP(_u8814, skolem212(_u8814, _u8813, _u8812, _u8811, _u8810)) != c_Groups_Ozero__class_Ozero(_u8810)) )).
% 12.21/12.46 cnf(matrix-4260, plain, ( ~class_Groups_Ocomm__monoid__add(_u8816) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8817), _u8818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8817, tc_HOL_Obool)), _u8819), _u8818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8817, _u8816), _u8820), _u8819) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8817, _u8816), _u8820), _u8818)) | hBOOL(hAPP(hAPP(c_member(_u8817), skolem213(_u8820, _u8819, _u8818, _u8817, _u8816)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8817, tc_HOL_Obool)), _u8818), _u8819))) )).
% 12.21/12.46 cnf(matrix-4261, plain, ( ~class_Groups_Ocomm__monoid__add(_u8816) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8817), _u8818)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8817, tc_HOL_Obool)), _u8819), _u8818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8817, _u8816), _u8820), _u8819) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8817, _u8816), _u8820), _u8818)) | ( hAPP(_u8820, skolem213(_u8820, _u8819, _u8818, _u8817, _u8816)) != c_Groups_Ozero__class_Ozero(_u8816)) )).
% 12.21/12.46 cnf(matrix-4262, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8821), _u8822)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u8821, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8821), _u8822)) = 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(_u8821), _u8822))) )).
% 12.21/12.46 cnf(matrix-4263, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8823), hAPP(c_Nat_OSuc, _u8824)) = 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)), _u8824)), _u8823)) )).
% 12.21/12.46 cnf(matrix-4264, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8825)), _u8826) = 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), _u8825)), _u8826)) )).
% 12.21/12.46 cnf(matrix-4265, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8827, tc_HOL_Obool)), _u8828), _u8829)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8827, tc_HOL_Obool)), _u8828), hAPP(c_Set_OPow(_u8827), _u8829))) )).
% 12.21/12.46 cnf(matrix-4266, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8832, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8832), _u8834))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8832), _u8834)) )).
% 12.21/12.46 cnf(matrix-4267, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8833), _u8835)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8833, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8833), _u8835))) )).
% 12.21/12.46 cnf(matrix-4268, plain, ( ( hAPP(c_Set_Oimage(_u8836, _u8837, _u8838), _u8839) != _u8840) | ( hAPP(c_Set_Oimage(tc_fun(_u8836, tc_HOL_Obool), tc_fun(_u8837, tc_HOL_Obool), c_Set_Oimage(_u8836, _u8837, _u8838)), hAPP(c_Set_OPow(_u8836), _u8839)) = hAPP(c_Set_OPow(_u8837), _u8840)) )).
% 12.21/12.46 cnf(matrix-4269, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u8841, tc_HOL_Obool)), _u8842), hAPP(c_Set_OPow(_u8841), _u8842))) )).
% 12.21/12.46 cnf(matrix-4270, plain, ( ( hAPP(c_Set_Oimage(_u8844, tc_fun(_u8844, tc_HOL_Obool), _u8843), _u8845) != hAPP(c_Set_OPow(_u8844), _u8845)) )).
% 12.21/12.46 cnf(matrix-4271, plain, ( ( hAPP(c_Set_OPow(_u8846), _u8847) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8846, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4272, plain, ( ( hAPP(c_Set_OPow(_u8848), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8849, tc_fun(_u8848, tc_HOL_Obool)), _u8850), _u8851)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8849, tc_fun(tc_fun(_u8848, tc_HOL_Obool), tc_HOL_Obool)), _u8850), hAPP(hAPP(c_COMBB(tc_fun(_u8848, tc_HOL_Obool), tc_fun(tc_fun(_u8848, tc_HOL_Obool), tc_HOL_Obool), _u8849), c_Set_OPow(_u8848)), _u8851))) )).
% 12.21/12.46 cnf(matrix-4273, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u8852, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8852, tc_HOL_Obool))), hAPP(c_Set_OPow(_u8852), _u8853))) )).
% 12.21/12.46 cnf(matrix-4274, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8854, tc_HOL_Obool)), _u8855), hAPP(c_Set_OPow(_u8854), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8854, tc_HOL_Obool)), _u8855), _u8856)) )).
% 12.21/12.46 cnf(matrix-4275, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8860, tc_HOL_Obool)), _u8862), hAPP(c_Set_OPow(_u8860), _u8864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8860, tc_HOL_Obool)), _u8862), _u8864)) )).
% 12.21/12.46 cnf(matrix-4276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8861, tc_HOL_Obool)), _u8863), _u8865)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8861, tc_HOL_Obool)), _u8863), hAPP(c_Set_OPow(_u8861), _u8865))) )).
% 12.21/12.46 cnf(matrix-4277, plain, ( ( c_Nat_Onat_Onat__case(_u8866, _u8867, _u8868, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8867) )).
% 12.21/12.46 cnf(matrix-4278, plain, ( ( c_Nat_Onat_Onat__case(_u8869, _u8870, _u8871, hAPP(c_Nat_OSuc, _u8872)) = hAPP(_u8871, _u8872)) )).
% 12.21/12.46 cnf(matrix-4279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8873, tc_HOL_Obool)), _u8874), _u8875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u8873, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u8873), _u8874)), hAPP(c_Set_OPow(_u8873), _u8875))) )).
% 12.21/12.46 cnf(matrix-4280, plain, ( ( hAPP(c_Set_OPow(_u8876), hAPP(hAPP(c_Set_Oinsert(_u8876), _u8877), _u8878)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u8876, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u8876), _u8878)), hAPP(c_Set_Oimage(tc_fun(_u8876, tc_HOL_Obool), tc_fun(_u8876, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u8876), _u8877)), hAPP(c_Set_OPow(_u8876), _u8878)))) )).
% 12.21/12.46 cnf(matrix-4281, plain, ( ( hAPP(c_Set_OPow(_u8879), c_Orderings_Otop__class_Otop(tc_fun(_u8879, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u8879, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4282, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u8880, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8881, tc_fun(tc_fun(_u8880, tc_HOL_Obool), tc_HOL_Obool)), _u8882), hAPP(hAPP(c_COMBB(tc_fun(_u8880, tc_HOL_Obool), tc_fun(tc_fun(_u8880, tc_HOL_Obool), tc_HOL_Obool), _u8881), c_Set_OPow(_u8880)), _u8883))), hAPP(c_Set_OPow(_u8880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8881, tc_fun(_u8880, tc_HOL_Obool)), _u8882), _u8883)))) )).
% 12.21/12.46 cnf(matrix-4283, plain, ( ( hAPP(c_Set_OPow(_u8884), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8884, tc_HOL_Obool)), _u8885), _u8886)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u8884, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u8884), _u8885)), hAPP(c_Set_OPow(_u8884), _u8886))) )).
% 12.21/12.46 cnf(matrix-4284, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8887, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8888, _u8887, _u8889), _u8890)), _u8891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u8887, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u8888, tc_HOL_Obool), tc_fun(_u8887, tc_HOL_Obool), c_Set_Oimage(_u8888, _u8887, _u8889)), hAPP(c_Set_OPow(_u8888), _u8890))), hAPP(c_Set_OPow(_u8887), _u8891))) )).
% 12.21/12.46 cnf(matrix-4285, plain, ( ( hAPP(c_Set_OPow(_u8892), c_Orderings_Obot__class_Obot(tc_fun(_u8892, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u8892, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8892, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8892, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4286, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8893), hAPP(c_Nat_OSuc, _u8894)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8894), 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)), _u8894)), _u8893)) )).
% 12.21/12.46 cnf(matrix-4287, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8895)), _u8896) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8895), 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), _u8895)), _u8896)) )).
% 12.21/12.46 cnf(matrix-4288, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u8897, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u8897, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u8897), _u8898)), hAPP(c_Set_OPow(_u8897), _u8899))), hAPP(c_Set_OPow(_u8897), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8897, tc_HOL_Obool)), _u8898), _u8899)))) )).
% 12.21/12.46 cnf(matrix-4289, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u8903, hAPP(hAPP(c_COMBC(_u8903, tc_fun(_u8903, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8903)), _u8905)), _u8907)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8903, tc_HOL_Obool)), _u8907), hAPP(c_Set_OPow(_u8903), _u8905))) )).
% 12.21/12.46 cnf(matrix-4290, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8904, tc_HOL_Obool)), _u8908), hAPP(c_Set_OPow(_u8904), _u8906))) | hBOOL(hAPP(c_Predicate_OPowp(_u8904, hAPP(hAPP(c_COMBC(_u8904, tc_fun(_u8904, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8904)), _u8906)), _u8908)) )).
% 12.21/12.46 cnf(matrix-4291, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8909), hAPP(c_Nat_OSuc, _u8910)) = 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), _u8909), _u8910))) )).
% 12.21/12.46 cnf(matrix-4292, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8912) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8912), _u8913), _u8914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8912), c_Groups_Ozero__class_Ozero(_u8912)), skolem214(_u8914, _u8913, _u8912))) )).
% 12.21/12.46 cnf(matrix-4293, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8912) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8912), _u8913), _u8914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8912), skolem214(_u8914, _u8913, _u8912)), c_Groups_Oone__class_Oone(_u8912))) )).
% 12.21/12.46 cnf(matrix-4294, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8912) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8912), _u8913), _u8914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8912), skolem214(_u8914, _u8913, _u8912)), _u8913)), _u8914)) )).
% 12.21/12.46 cnf(matrix-4295, plain, ( ~class_Groups_Ocomm__monoid__add(_u8916) | ~class_Groups_Ocomm__monoid__mult(_u8916) | ( _u8917 != _u8918) | ~c_Nat__Transfer_Onat__set(_u8918) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8916), _u8919), _u8917) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8916), _u8920), _u8918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem215(_u8920, _u8919, _u8918, _u8917, _u8916))) )).
% 12.21/12.46 cnf(matrix-4296, plain, ( ~class_Groups_Ocomm__monoid__add(_u8916) | ~class_Groups_Ocomm__monoid__mult(_u8916) | ( _u8917 != _u8918) | ~c_Nat__Transfer_Onat__set(_u8918) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8916), _u8919), _u8917) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8916), _u8920), _u8918)) | ( hAPP(_u8919, skolem215(_u8920, _u8919, _u8918, _u8917, _u8916)) != hAPP(_u8920, skolem215(_u8920, _u8919, _u8918, _u8917, _u8916))) )).
% 12.21/12.46 cnf(matrix-4297, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8925)) | ~hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8921), _u8925)) | ( _u8927 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8925), _u8922)), _u8921)) | hBOOL(hAPP(hAPP(_u8926, _u8922), _u8921)) )).
% 12.21/12.46 cnf(matrix-4298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8925)) | hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem217(_u8927, _u8926, _u8925))) )).
% 12.21/12.46 cnf(matrix-4299, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8925)) | hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem217(_u8927, _u8926, _u8925)), _u8925)) )).
% 12.21/12.46 cnf(matrix-4300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8925)) | hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | ( _u8927 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8925), skolem216(_u8927, _u8926, _u8925))), skolem217(_u8927, _u8926, _u8925))) )).
% 12.21/12.46 cnf(matrix-4301, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8925)) | hBOOL(hAPP(hAPP(_u8926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8927), _u8925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8927, _u8925))) | ~hBOOL(hAPP(hAPP(_u8926, skolem216(_u8927, _u8926, _u8925)), skolem217(_u8927, _u8926, _u8925))) )).
% 12.21/12.46 cnf(matrix-4302, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), _u8928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8928), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8934 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8932), _u8929)), _u8928)) | hBOOL(hAPP(hAPP(_u8933, _u8929), _u8928)) )).
% 12.21/12.46 cnf(matrix-4303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), skolem219(_u8934, _u8933, _u8932))) )).
% 12.21/12.46 cnf(matrix-4304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem219(_u8934, _u8933, _u8932)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | ( _u8934 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8932), skolem218(_u8934, _u8933, _u8932))), skolem219(_u8934, _u8933, _u8932))) )).
% 12.21/12.46 cnf(matrix-4306, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8933, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8934), _u8932)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8934, _u8932))) | ~hBOOL(hAPP(hAPP(_u8933, skolem218(_u8934, _u8933, _u8932)), skolem219(_u8934, _u8933, _u8932))) )).
% 12.21/12.46 cnf(matrix-4307, 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, _u8935, _u8936)), _u8937), _u8936) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8935), _u8937), _u8936)) )).
% 12.21/12.46 cnf(matrix-4308, 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, _u8938, _u8939)), _u8940), _u8939) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8938), _u8940), _u8939)) )).
% 12.21/12.46 cnf(matrix-4309, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8941), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8942, _u8943)), _u8943) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8941), _u8942), _u8943)) )).
% 12.21/12.46 cnf(matrix-4310, plain, ( ~class_Divides_Oring__div(_u8944) | ( c_Divides_Odiv__class_Omod(_u8944, _u8945, _u8946) != c_Divides_Odiv__class_Omod(_u8944, _u8947, _u8946)) | ( c_Divides_Odiv__class_Omod(_u8944, _u8948, _u8946) != c_Divides_Odiv__class_Omod(_u8944, _u8949, _u8946)) | ( c_Divides_Odiv__class_Omod(_u8944, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8944), _u8945), _u8948), _u8946) = c_Divides_Odiv__class_Omod(_u8944, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8944), _u8947), _u8949), _u8946)) )).
% 12.21/12.46 cnf(matrix-4311, plain, ( ~class_Divides_Oring__div(_u8950) | ( c_Divides_Odiv__class_Omod(_u8950, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8950), _u8951), _u8952), _u8953) = c_Divides_Odiv__class_Omod(_u8950, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8950), c_Divides_Odiv__class_Omod(_u8950, _u8951, _u8953)), c_Divides_Odiv__class_Omod(_u8950, _u8952, _u8953)), _u8953)) )).
% 12.21/12.46 cnf(matrix-4312, plain, ( ~class_Divides_Oring__div(_u8954) | ( c_Divides_Odiv__class_Omod(_u8954, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8954), _u8955), _u8956), _u8957) = c_Divides_Odiv__class_Omod(_u8954, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8954), c_Divides_Odiv__class_Omod(_u8954, _u8955, _u8957)), _u8956), _u8957)) )).
% 12.21/12.46 cnf(matrix-4313, plain, ( ~class_Divides_Oring__div(_u8958) | ( c_Divides_Odiv__class_Omod(_u8958, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8958), _u8959), _u8960), _u8961) = c_Divides_Odiv__class_Omod(_u8958, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8958), _u8959), c_Divides_Odiv__class_Omod(_u8958, _u8960, _u8961)), _u8961)) )).
% 12.21/12.46 cnf(matrix-4314, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8962), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8963, _u8964)), _u8964) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8962), _u8963), _u8964)) )).
% 12.21/12.46 cnf(matrix-4315, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8965), _u8966), _u8967) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8965), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8966, _u8967)), _u8967)) )).
% 12.21/12.46 cnf(matrix-4316, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8968, _u8968) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4317, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u8969) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4318, plain, ( ~class_Divides_Osemiring__div(_u8970) | ( c_Divides_Odiv__class_Omod(_u8970, _u8971, _u8972) != c_Divides_Odiv__class_Omod(_u8970, _u8973, _u8972)) | ( c_Divides_Odiv__class_Omod(_u8970, _u8974, _u8972) != c_Divides_Odiv__class_Omod(_u8970, _u8975, _u8972)) | ( c_Divides_Odiv__class_Omod(_u8970, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8970), _u8971), _u8974), _u8972) = c_Divides_Odiv__class_Omod(_u8970, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8970), _u8973), _u8975), _u8972)) )).
% 12.21/12.46 cnf(matrix-4319, plain, ( ~class_Divides_Osemiring__div(_u8976) | ( c_Divides_Odiv__class_Omod(_u8976, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8976), c_Divides_Odiv__class_Omod(_u8976, _u8977, _u8978)), _u8979), _u8978) = c_Divides_Odiv__class_Omod(_u8976, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8976), _u8977), _u8979), _u8978)) )).
% 12.21/12.46 cnf(matrix-4320, plain, ( ~class_Divides_Osemiring__div(_u8980) | ( c_Divides_Odiv__class_Omod(_u8980, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8980), _u8981), c_Divides_Odiv__class_Omod(_u8980, _u8982, _u8983)), _u8983) = c_Divides_Odiv__class_Omod(_u8980, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8980), _u8981), _u8982), _u8983)) )).
% 12.21/12.46 cnf(matrix-4321, plain, ( ~class_Divides_Osemiring__div(_u8984) | ( c_Divides_Odiv__class_Omod(_u8984, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8984), _u8985), _u8986), _u8987) = c_Divides_Odiv__class_Omod(_u8984, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8984), c_Divides_Odiv__class_Omod(_u8984, _u8985, _u8987)), c_Divides_Odiv__class_Omod(_u8984, _u8986, _u8987)), _u8987)) )).
% 12.21/12.46 cnf(matrix-4322, plain, ( ~class_Divides_Osemiring__div(_u8988) | ( c_Divides_Odiv__class_Omod(_u8988, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8988), _u8989), _u8990), _u8991) = c_Divides_Odiv__class_Omod(_u8988, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8988), c_Divides_Odiv__class_Omod(_u8988, _u8989, _u8991)), _u8990), _u8991)) )).
% 12.21/12.46 cnf(matrix-4323, plain, ( ~class_Divides_Osemiring__div(_u8992) | ( c_Divides_Odiv__class_Omod(_u8992, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8992), _u8993), _u8994), _u8995) = c_Divides_Odiv__class_Omod(_u8992, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8992), _u8993), c_Divides_Odiv__class_Omod(_u8992, _u8994, _u8995)), _u8995)) )).
% 12.21/12.46 cnf(matrix-4324, plain, ( ~class_Divides_Osemiring__div(_u8996) | ( c_Divides_Odiv__class_Omod(_u8996, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8996), _u8997), _u8998), _u8997) = c_Divides_Odiv__class_Omod(_u8996, _u8998, _u8997)) )).
% 12.21/12.46 cnf(matrix-4325, plain, ( ~class_Divides_Osemiring__div(_u8999) | ( c_Divides_Odiv__class_Omod(_u8999, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8999), _u9000), _u9001), _u9001) = c_Divides_Odiv__class_Omod(_u8999, _u9000, _u9001)) )).
% 12.21/12.46 cnf(matrix-4326, plain, ( ~class_Divides_Oring__div(_u9002) | ( c_Divides_Odiv__class_Omod(_u9002, hAPP(c_Groups_Ouminus__class_Ouminus(_u9002), _u9003), _u9004) = c_Divides_Odiv__class_Omod(_u9002, hAPP(c_Groups_Ouminus__class_Ouminus(_u9002), c_Divides_Odiv__class_Omod(_u9002, _u9003, _u9004)), _u9004)) )).
% 12.21/12.46 cnf(matrix-4327, plain, ( ~class_Divides_Oring__div(_u9005) | ( c_Divides_Odiv__class_Omod(_u9005, _u9006, _u9007) != c_Divides_Odiv__class_Omod(_u9005, _u9008, _u9007)) | ( c_Divides_Odiv__class_Omod(_u9005, hAPP(c_Groups_Ouminus__class_Ouminus(_u9005), _u9006), _u9007) = c_Divides_Odiv__class_Omod(_u9005, hAPP(c_Groups_Ouminus__class_Ouminus(_u9005), _u9008), _u9007)) )).
% 12.21/12.46 cnf(matrix-4328, plain, ( ~class_Divides_Osemiring__div(_u9009) | ( c_Divides_Odiv__class_Omod(_u9009, _u9010, _u9010) = c_Groups_Ozero__class_Ozero(_u9009)) )).
% 12.21/12.46 cnf(matrix-4329, plain, ( ~class_Divides_Osemiring__div(_u9011) | ( c_Divides_Odiv__class_Omod(_u9011, _u9012, c_Groups_Ozero__class_Ozero(_u9011)) = _u9012) )).
% 12.21/12.46 cnf(matrix-4330, plain, ( ~class_Divides_Osemiring__div(_u9013) | ( c_Divides_Odiv__class_Omod(_u9013, c_Groups_Ozero__class_Ozero(_u9013), _u9014) = c_Groups_Ozero__class_Ozero(_u9013)) )).
% 12.21/12.46 cnf(matrix-4331, plain, ( ~class_Divides_Osemiring__div(_u9015) | ( c_Divides_Odiv__class_Omod(_u9015, c_Divides_Odiv__class_Omod(_u9015, _u9016, _u9017), _u9017) = c_Divides_Odiv__class_Omod(_u9015, _u9016, _u9017)) )).
% 12.21/12.46 cnf(matrix-4332, plain, ( ~class_Divides_Osemiring__div(_u9018) | ( c_Divides_Odiv__class_Omod(_u9018, _u9019, _u9020) != c_Divides_Odiv__class_Omod(_u9018, _u9021, _u9020)) | ( c_Divides_Odiv__class_Omod(_u9018, _u9022, _u9020) != c_Divides_Odiv__class_Omod(_u9018, _u9023, _u9020)) | ( c_Divides_Odiv__class_Omod(_u9018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9018), _u9019), _u9022), _u9020) = c_Divides_Odiv__class_Omod(_u9018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9018), _u9021), _u9023), _u9020)) )).
% 12.21/12.46 cnf(matrix-4333, plain, ( ~class_Divides_Osemiring__div(_u9024) | ( c_Divides_Odiv__class_Omod(_u9024, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9024), c_Divides_Odiv__class_Omod(_u9024, _u9025, _u9026)), _u9027), _u9026) = c_Divides_Odiv__class_Omod(_u9024, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9024), _u9025), _u9027), _u9026)) )).
% 12.21/12.46 cnf(matrix-4334, plain, ( ~class_Divides_Osemiring__div(_u9028) | ( c_Divides_Odiv__class_Omod(_u9028, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9028), _u9029), _u9030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9028), _u9031), _u9030)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9028), c_Divides_Odiv__class_Omod(_u9028, _u9029, _u9031)), _u9030)) )).
% 12.21/12.46 cnf(matrix-4335, plain, ( ~class_Divides_Osemiring__div(_u9032) | ( c_Divides_Odiv__class_Omod(_u9032, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9032), _u9033), _u9034), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9032), _u9033), _u9035)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9032), _u9033), c_Divides_Odiv__class_Omod(_u9032, _u9034, _u9035))) )).
% 12.21/12.46 cnf(matrix-4336, plain, ( ~class_Divides_Osemiring__div(_u9036) | ( c_Divides_Odiv__class_Omod(_u9036, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9036), _u9037), _u9038), _u9039) = c_Divides_Odiv__class_Omod(_u9036, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9036), c_Divides_Odiv__class_Omod(_u9036, _u9037, _u9039)), c_Divides_Odiv__class_Omod(_u9036, _u9038, _u9039)), _u9039)) )).
% 12.21/12.46 cnf(matrix-4337, plain, ( ~class_Divides_Osemiring__div(_u9040) | ( c_Divides_Odiv__class_Omod(_u9040, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9040), _u9041), _u9042), _u9043) = c_Divides_Odiv__class_Omod(_u9040, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9040), c_Divides_Odiv__class_Omod(_u9040, _u9041, _u9043)), _u9042), _u9043)) )).
% 12.21/12.46 cnf(matrix-4338, plain, ( ~class_Divides_Osemiring__div(_u9044) | ( c_Divides_Odiv__class_Omod(_u9044, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9044), _u9045), _u9046), _u9047) = c_Divides_Odiv__class_Omod(_u9044, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9044), _u9045), c_Divides_Odiv__class_Omod(_u9044, _u9046, _u9047)), _u9047)) )).
% 12.21/12.46 cnf(matrix-4339, 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, _u9048, _u9049)), _u9049) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9048), _u9049)) )).
% 12.21/12.46 cnf(matrix-4340, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9050), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9051)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9050, _u9051))) )).
% 12.21/12.46 cnf(matrix-4341, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9052, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9053)) = 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), _u9052), _u9053))) )).
% 12.21/12.46 cnf(matrix-4342, plain, ( ~c_Nat__Transfer_Ois__nat(_u9054) | ~c_Nat__Transfer_Ois__nat(_u9055) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9054, _u9055)) )).
% 12.21/12.46 cnf(matrix-4343, plain, ( ~class_Divides_Osemiring__div(_u9056) | ( c_Divides_Odiv__class_Omod(_u9056, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9056), _u9057), _u9058), _u9057) = c_Groups_Ozero__class_Ozero(_u9056)) )).
% 12.21/12.46 cnf(matrix-4344, plain, ( ~class_Divides_Osemiring__div(_u9059) | ( c_Divides_Odiv__class_Omod(_u9059, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9059), _u9060), _u9061), _u9061) = c_Groups_Ozero__class_Ozero(_u9059)) )).
% 12.21/12.46 cnf(matrix-4345, plain, ( ~class_Divides_Osemiring__div(_u9062) | ( c_Divides_Odiv__class_Omod(_u9062, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9062), _u9063), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9062), _u9064), _u9065)), _u9064) = c_Divides_Odiv__class_Omod(_u9062, _u9063, _u9064)) )).
% 12.21/12.46 cnf(matrix-4346, plain, ( ~class_Divides_Osemiring__div(_u9066) | ( c_Divides_Odiv__class_Omod(_u9066, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9066), _u9067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9066), _u9068), _u9069)), _u9069) = c_Divides_Odiv__class_Omod(_u9066, _u9067, _u9069)) )).
% 12.21/12.46 cnf(matrix-4347, plain, ( ~class_Divides_Osemiring__div(_u9070) | ( c_Divides_Odiv__class_Omod(_u9070, _u9071, c_Groups_Oone__class_Oone(_u9070)) = c_Groups_Ozero__class_Ozero(_u9070)) )).
% 12.21/12.46 cnf(matrix-4348, plain, ( ~class_Divides_Osemiring__div(_u9072) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9072), c_Divides_Odiv__class_Omod(_u9072, _u9073, _u9074)), _u9074) = c_Groups_Ozero__class_Ozero(_u9072)) )).
% 12.21/12.46 cnf(matrix-4349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9075, _u9076)), _u9075)) )).
% 12.21/12.46 cnf(matrix-4350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9078)) | 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, _u9077, _u9078))) )).
% 12.21/12.46 cnf(matrix-4351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9080, _u9079)), _u9079)) )).
% 12.21/12.46 cnf(matrix-4352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9081), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9081), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9082, _u9081))) )).
% 12.21/12.46 cnf(matrix-4353, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9087, _u9089) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9087 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9089), skolem220(_u9089, _u9087))) )).
% 12.21/12.46 cnf(matrix-4354, plain, ( ( _u9088 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9090), _u9084)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9088, _u9090) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4355, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9091), _u9092) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9091, _u9092) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4356, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9093, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9094)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9093, _u9094) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4357, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9095, _u9096)), _u9096) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4358, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9098), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4359, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9099, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u9099) )).
% 12.21/12.46 cnf(matrix-4360, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9100), _u9101)), _u9102) = 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), _u9100), _u9102)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9101), _u9102))), 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, _u9100, _u9102)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9101, _u9102))), _u9102))) )).
% 12.21/12.46 cnf(matrix-4361, plain, ( ~class_Divides_Osemiring__div(_u9103) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9103), c_Divides_Odiv__class_Omod(_u9103, _u9104, _u9105)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9103), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9103), _u9104), _u9105)), _u9105)) = _u9104) )).
% 12.21/12.46 cnf(matrix-4362, plain, ( ~class_Divides_Osemiring__div(_u9106) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9106), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9106), _u9107), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9106), _u9108), _u9107))), c_Divides_Odiv__class_Omod(_u9106, _u9108, _u9107)) = _u9108) )).
% 12.21/12.46 cnf(matrix-4363, plain, ( ~class_Divides_Osemiring__div(_u9109) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9109), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9109), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9109), _u9110), _u9111)), _u9111)), c_Divides_Odiv__class_Omod(_u9109, _u9110, _u9111)) = _u9110) )).
% 12.21/12.46 cnf(matrix-4364, plain, ( ~class_Divides_Osemiring__div(_u9112) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9112), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9112), _u9113), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9112), _u9114), _u9113))), c_Divides_Odiv__class_Omod(_u9112, _u9114, _u9113))), _u9115) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9112), _u9114), _u9115)) )).
% 12.21/12.46 cnf(matrix-4365, plain, ( ~class_Divides_Osemiring__div(_u9116) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9116), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9116), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9116), _u9117), _u9118)), _u9118)), c_Divides_Odiv__class_Omod(_u9116, _u9117, _u9118))), _u9119) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9116), _u9117), _u9119)) )).
% 12.21/12.46 cnf(matrix-4366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9121), _u9120)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9120, _u9121) = _u9120) )).
% 12.21/12.46 cnf(matrix-4367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9122), 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, _u9123, _u9122)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9122), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9122), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9123, _u9122))) )).
% 12.21/12.46 cnf(matrix-4369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9124), 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, _u9125, _u9124)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9126), _u9127)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9126, _u9127) = _u9126) )).
% 12.21/12.46 cnf(matrix-4371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9128)) | 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, _u9129, _u9128))) )).
% 12.21/12.46 cnf(matrix-4372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9129, _u9128)), _u9128)) )).
% 12.21/12.46 cnf(matrix-4373, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9130)) | 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, _u9131, _u9130))) )).
% 12.21/12.46 cnf(matrix-4374, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9134, _u9136) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9134, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9136)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4375, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9135, _u9137) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9135, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9137)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9135, _u9137)), _u9137)) )).
% 12.21/12.46 cnf(matrix-4376, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9140, _u9142) != 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), _u9140), _u9142) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4377, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9141, _u9143) = 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), _u9141), _u9143) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9143), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9141, _u9143))) )).
% 12.21/12.46 cnf(matrix-4378, plain, ( ( _u9144 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9145), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9144), _u9145))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9144, _u9145))) )).
% 12.21/12.46 cnf(matrix-4379, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9146), _u9147)), _u9148) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9146), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9147), _u9148))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9146), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9147, _u9148))), _u9148))) )).
% 12.21/12.46 cnf(matrix-4380, 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), _u9149), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9150), _u9149))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9150, _u9149))), _u9151) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9150), _u9151)) )).
% 12.21/12.46 cnf(matrix-4381, 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), _u9152), _u9153)), _u9153)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9152, _u9153))), _u9154) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9152), _u9154)) )).
% 12.21/12.46 cnf(matrix-4382, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9155), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9155)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9156), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9156, _u9155))) )).
% 12.21/12.46 cnf(matrix-4383, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9157, _u9158) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9157), _u9158)), _u9158))) )).
% 12.21/12.46 cnf(matrix-4384, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9159)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9159), _u9160)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9159, _u9160) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9159), _u9160)) )).
% 12.21/12.46 cnf(matrix-4385, plain, ( ( _u9161 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9162), _u9163)), _u9164)) | ( _u9162 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9161, _u9162) = _u9164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9162), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9164), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4386, plain, ( ( _u9161 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9162), _u9163)), _u9164)) | ( _u9162 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9161, _u9162) = _u9164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9164), _u9162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9162)) )).
% 12.21/12.46 cnf(matrix-4387, plain, ( ( _u9161 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9162), _u9163)), _u9164)) | ( _u9162 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9161, _u9162) = _u9164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9164), _u9162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9162), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9164), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9165)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9166), _u9167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9167), 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), _u9166), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9168, _u9165))), _u9167)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4389, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9169)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9170), _u9171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9171), 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), _u9170), _u9169)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9170), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9172, _u9169))), _u9171))) )).
% 12.21/12.46 cnf(matrix-4390, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9173)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9174), _u9175)) | 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), _u9175), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9176, _u9173))), _u9174)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9175), _u9173))) )).
% 12.21/12.46 cnf(matrix-4391, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9178), _u9179)) | 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), _u9179), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9180, _u9177))), _u9178))) )).
% 12.21/12.46 cnf(matrix-4392, plain, ( ~hBOOL(hAPP(_u9192, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9194, _u9196))) | ( _u9196 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9192, _u9194)) )).
% 12.21/12.46 cnf(matrix-4393, plain, ( ~hBOOL(hAPP(_u9192, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9194, _u9196))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9181), _u9196)) | ( _u9194 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9196), _u9182)), _u9181)) | hBOOL(hAPP(_u9192, _u9181)) )).
% 12.21/12.46 cnf(matrix-4394, plain, ( ~hBOOL(hAPP(_u9192, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9194, _u9196))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9196), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9196), _u9183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9183), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9194 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9196), _u9184)), _u9183)) | hBOOL(hAPP(_u9192, _u9183)) )).
% 12.21/12.46 cnf(matrix-4395, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = 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)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4396, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4397, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4398, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4399, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4400, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4401, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4402, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4403, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4404, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4405, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4406, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4407, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4408, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4409, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4410, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = 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)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4411, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4412, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4413, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4414, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4415, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4416, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4417, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4418, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4419, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4420, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4421, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = 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)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4422, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4423, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4424, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ( _u9197 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4425, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4426, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4427, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4428, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4429, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9197), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4430, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4431, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4432, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4433, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4434, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem224(_u9197, _u9195, _u9193)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4435, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4436, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4437, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4438, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4439, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem223(_u9197, _u9195, _u9193))), skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4440, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4441, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4442, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem222(_u9197, _u9195, _u9193)), _u9197)) )).
% 12.21/12.46 cnf(matrix-4443, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ( _u9195 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9197), skolem221(_u9197, _u9195, _u9193))), skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4444, plain, ( hBOOL(hAPP(_u9193, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9195, _u9197))) | ~hBOOL(hAPP(_u9193, skolem224(_u9197, _u9195, _u9193))) | ~hBOOL(hAPP(_u9193, _u9195)) | ~hBOOL(hAPP(_u9193, skolem222(_u9197, _u9195, _u9193))) )).
% 12.21/12.46 cnf(matrix-4445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9198)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9199, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9200), _u9198)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9200), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9199), _u9200), _u9198))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9199, _u9200))) )).
% 12.21/12.46 cnf(matrix-4446, plain, ( ( _u9201 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9202, _u9201) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9202), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9201)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9202), _u9201))) )).
% 12.21/12.46 cnf(matrix-4447, plain, ( ( _u9201 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9202, _u9201) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9202), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9201)) = 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), _u9202), _u9201))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4448, plain, ( ( _u9203 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9204, _u9203) != 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), _u9204)), _u9203) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9204), _u9203))) )).
% 12.21/12.46 cnf(matrix-4449, plain, ( ( _u9203 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9204, _u9203) = 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), _u9204)), _u9203) = 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), _u9204), _u9203))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4450, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9207)), _u9209)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9207), _u9209)) )).
% 12.21/12.46 cnf(matrix-4451, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9208), _u9210)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9208)), _u9210)) )).
% 12.21/12.46 cnf(matrix-4452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9213)) | ( c_SMT_Oz3mod(_u9215, _u9213) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9215, _u9213)) )).
% 12.21/12.46 cnf(matrix-4453, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9214)) | ( c_SMT_Oz3mod(_u9216, _u9214) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9216, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9214))) )).
% 12.21/12.46 cnf(matrix-4454, plain, ( ~class_Rings_Olinordered__idom(_u9217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9218), c_Groups_Ozero__class_Ozero(_u9217))) | ( c_Groups_Osgn__class_Osgn(_u9217, _u9218) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9217), c_Groups_Oone__class_Oone(_u9217))) )).
% 12.21/12.46 cnf(matrix-4455, plain, ( ~class_Rings_Olinordered__idom(_u9219) | ( c_Groups_Osgn__class_Osgn(_u9219, _u9220) != hAPP(c_Groups_Ouminus__class_Ouminus(_u9219), c_Groups_Oone__class_Oone(_u9219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9219), _u9220), c_Groups_Ozero__class_Ozero(_u9219))) )).
% 12.21/12.46 cnf(matrix-4456, plain, ( ~class_Rings_Olinordered__idom(_u9219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9219), _u9220), c_Groups_Ozero__class_Ozero(_u9219))) | ( c_Groups_Osgn__class_Osgn(_u9219, _u9220) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9219), c_Groups_Oone__class_Oone(_u9219))) )).
% 12.21/12.46 cnf(matrix-4457, plain, ( ~class_Groups_Osgn__if(_u9221) | ( _u9222 != c_Groups_Ozero__class_Ozero(_u9221)) | ( c_Groups_Osgn__class_Osgn(_u9221, _u9222) = c_Groups_Ozero__class_Ozero(_u9221)) )).
% 12.21/12.46 cnf(matrix-4458, plain, ( ~class_Groups_Osgn__if(_u9221) | ( _u9222 = c_Groups_Ozero__class_Ozero(_u9221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9221), c_Groups_Ozero__class_Ozero(_u9221)), _u9222)) | ( c_Groups_Osgn__class_Osgn(_u9221, _u9222) = c_Groups_Oone__class_Oone(_u9221)) )).
% 12.21/12.46 cnf(matrix-4459, plain, ( ~class_Groups_Osgn__if(_u9221) | ( _u9222 = c_Groups_Ozero__class_Ozero(_u9221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9221), c_Groups_Ozero__class_Ozero(_u9221)), _u9222)) | ( c_Groups_Osgn__class_Osgn(_u9221, _u9222) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9221), c_Groups_Oone__class_Oone(_u9221))) )).
% 12.21/12.46 cnf(matrix-4460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9223), _u9224)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9223, _u9224) = _u9223) )).
% 12.21/12.46 cnf(matrix-4461, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9225), _u9226) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9225, _u9226)), _u9226)) )).
% 12.21/12.46 cnf(matrix-4462, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9227, _u9228)), _u9229) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9227), _u9229), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9228), _u9229))) )).
% 12.21/12.46 cnf(matrix-4463, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9230), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9231, _u9232)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9230), _u9231), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9230), _u9232))) )).
% 12.21/12.46 cnf(matrix-4464, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9233, _u9234)), _u9233)) )).
% 12.21/12.46 cnf(matrix-4465, plain, ( ~class_Rings_Olinordered__idom(_u9235) | ( c_Groups_Osgn__class_Osgn(_u9235, c_Groups_Osgn__class_Osgn(_u9235, _u9236)) = c_Groups_Osgn__class_Osgn(_u9235, _u9236)) )).
% 12.21/12.46 cnf(matrix-4466, plain, ( ~class_Rings_Olinordered__idom(_u9237) | ( c_Groups_Osgn__class_Osgn(_u9237, _u9238) != c_Groups_Ozero__class_Ozero(_u9237)) | ( _u9238 = c_Groups_Ozero__class_Ozero(_u9237)) )).
% 12.21/12.46 cnf(matrix-4467, plain, ( ~class_Rings_Olinordered__idom(_u9237) | ( _u9238 != c_Groups_Ozero__class_Ozero(_u9237)) | ( c_Groups_Osgn__class_Osgn(_u9237, _u9238) = c_Groups_Ozero__class_Ozero(_u9237)) )).
% 12.21/12.46 cnf(matrix-4468, plain, ( ~class_Groups_Osgn__if(_u9239) | ( c_Groups_Osgn__class_Osgn(_u9239, c_Groups_Ozero__class_Ozero(_u9239)) = c_Groups_Ozero__class_Ozero(_u9239)) )).
% 12.21/12.46 cnf(matrix-4469, plain, ( ~class_Rings_Olinordered__idom(_u9240) | ( c_Groups_Osgn__class_Osgn(_u9240, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9240), _u9241), _u9242)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9240), c_Groups_Osgn__class_Osgn(_u9240, _u9241)), c_Groups_Osgn__class_Osgn(_u9240, _u9242))) )).
% 12.21/12.46 cnf(matrix-4470, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9245, _u9247)) != _u9247) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9245), _u9247) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4471, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9246, _u9248)) = _u9248) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9246), _u9248) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9246, _u9248))) )).
% 12.21/12.46 cnf(matrix-4472, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9249, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9251, _u9250)), _u9250)) )).
% 12.21/12.46 cnf(matrix-4474, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9256, _u9258) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9256 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9258), skolem225(_u9258, _u9256))) )).
% 12.21/12.46 cnf(matrix-4475, plain, ( ( _u9257 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9259), _u9253)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9257, _u9259) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9262), _u9264)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9262, _u9264) = _u9262) )).
% 12.21/12.46 cnf(matrix-4477, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9263), _u9265)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9263, _u9265) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9263), _u9265), _u9265)) )).
% 12.21/12.46 cnf(matrix-4478, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9266), _u9267)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9266, _u9267) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9266), _u9267), _u9267)) )).
% 12.21/12.46 cnf(matrix-4479, 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), _u9268), _u9269)), _u9270), _u9269) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9270, _u9269)) )).
% 12.21/12.46 cnf(matrix-4480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9271), _u9272)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9272, _u9271) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9272), _u9271), _u9271)) )).
% 12.21/12.46 cnf(matrix-4481, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9273), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9274)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9273, _u9274))) )).
% 12.21/12.46 cnf(matrix-4482, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9275, _u9276)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9275), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9276))) )).
% 12.21/12.46 cnf(matrix-4483, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9277), _u9278)), _u9279) = 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), _u9277), _u9279)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9278), _u9279))), 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, _u9277, _u9279)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9278, _u9279))), _u9279))) )).
% 12.21/12.46 cnf(matrix-4484, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9281, _u9280)), _u9280)) )).
% 12.21/12.46 cnf(matrix-4485, 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), _u9282), _u9283)), _u9284)), _u9283) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9284), _u9283)) )).
% 12.21/12.46 cnf(matrix-4486, plain, ( ~class_Rings_Olinordered__idom(_u9285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9285), c_Groups_Ozero__class_Ozero(_u9285)), c_Groups_Osgn__class_Osgn(_u9285, _u9286))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9285), c_Groups_Ozero__class_Ozero(_u9285)), _u9286)) )).
% 12.21/12.46 cnf(matrix-4487, plain, ( ~class_Rings_Olinordered__idom(_u9285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9285), c_Groups_Ozero__class_Ozero(_u9285)), _u9286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9285), c_Groups_Ozero__class_Ozero(_u9285)), c_Groups_Osgn__class_Osgn(_u9285, _u9286))) )).
% 12.21/12.46 cnf(matrix-4488, plain, ( ~class_Rings_Olinordered__idom(_u9287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9287), c_Groups_Osgn__class_Osgn(_u9287, _u9288)), c_Groups_Ozero__class_Ozero(_u9287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9287), _u9288), c_Groups_Ozero__class_Ozero(_u9287))) )).
% 12.21/12.46 cnf(matrix-4489, plain, ( ~class_Rings_Olinordered__idom(_u9287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9287), _u9288), c_Groups_Ozero__class_Ozero(_u9287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9287), c_Groups_Osgn__class_Osgn(_u9287, _u9288)), c_Groups_Ozero__class_Ozero(_u9287))) )).
% 12.21/12.46 cnf(matrix-4490, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9289, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9290), _u9291)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9290), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9289), _u9290), _u9291))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9289, _u9290))) )).
% 12.21/12.46 cnf(matrix-4491, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9292), _u9293)), _u9294) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9292), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9293), _u9294))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9292), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9293, _u9294))), _u9294))) )).
% 12.21/12.46 cnf(matrix-4492, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9295), _u9296)), _u9296) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9295), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9295, _u9296))) )).
% 12.21/12.46 cnf(matrix-4493, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9297), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9298), _u9297)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9298), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9298, _u9297))) )).
% 12.21/12.46 cnf(matrix-4494, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9299, _u9300) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9299), _u9300)), _u9300))) )).
% 12.21/12.46 cnf(matrix-4495, plain, ( ~hBOOL(hAPP(_u9308, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9310, _u9312))) | ( _u9312 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9308, _u9310)) )).
% 12.21/12.46 cnf(matrix-4496, plain, ( ~hBOOL(hAPP(_u9308, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9310, _u9312))) | ( _u9312 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9301), _u9312)) | ( _u9310 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9312), _u9302)), _u9301)) | hBOOL(hAPP(_u9308, _u9301)) )).
% 12.21/12.46 cnf(matrix-4497, plain, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ( _u9313 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem227(_u9313, _u9311, _u9309)), _u9313)) )).
% 12.21/12.46 cnf(matrix-4498, plain, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ( _u9313 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9311 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9313), skolem226(_u9313, _u9311, _u9309))), skolem227(_u9313, _u9311, _u9309))) )).
% 12.21/12.46 cnf(matrix-4499, plain, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ( _u9313 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9309, skolem227(_u9313, _u9311, _u9309))) )).
% 12.21/12.46 cnf(matrix-4500, plain, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ~hBOOL(hAPP(_u9309, _u9311)) | ( _u9313 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4501, plain, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ~hBOOL(hAPP(_u9309, _u9311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem227(_u9313, _u9311, _u9309)), _u9313)) )).
% 12.21/12.46 cnf(matrix-4502, plain, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ~hBOOL(hAPP(_u9309, _u9311)) | ( _u9311 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9313), skolem226(_u9313, _u9311, _u9309))), skolem227(_u9313, _u9311, _u9309))) )).
% 12.21/12.46 cnf(matrix-4503, plain, ( hBOOL(hAPP(_u9309, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9311, _u9313))) | ~hBOOL(hAPP(_u9309, _u9311)) | ~hBOOL(hAPP(_u9309, skolem227(_u9313, _u9311, _u9309))) )).
% 12.21/12.46 cnf(matrix-4504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9315), _u9316)) | 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), _u9316), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9317, _u9314))), _u9315)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9316), _u9314))) )).
% 12.21/12.46 cnf(matrix-4505, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u9318)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9318), _u9319)), _u9318) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9321)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9320), hAPP(c_Int_Onat, _u9321)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9320, _u9321))) )).
% 12.21/12.46 cnf(matrix-4507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9323)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9322, _u9323)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9322), hAPP(c_Int_Onat, _u9323))) )).
% 12.21/12.46 cnf(matrix-4508, plain, ( ~class_Rings_Olinordered__idom(_u9324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9324), c_Groups_Ozero__class_Ozero(_u9324)), _u9325)) | ( c_Groups_Osgn__class_Osgn(_u9324, _u9325) = c_Groups_Oone__class_Oone(_u9324)) )).
% 12.21/12.46 cnf(matrix-4509, plain, ( ~class_Rings_Olinordered__idom(_u9326) | ( c_Groups_Osgn__class_Osgn(_u9326, _u9327) != c_Groups_Oone__class_Oone(_u9326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9326), c_Groups_Ozero__class_Ozero(_u9326)), _u9327)) )).
% 12.21/12.46 cnf(matrix-4510, plain, ( ~class_Rings_Olinordered__idom(_u9326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9326), c_Groups_Ozero__class_Ozero(_u9326)), _u9327)) | ( c_Groups_Osgn__class_Osgn(_u9326, _u9327) = c_Groups_Oone__class_Oone(_u9326)) )).
% 12.21/12.46 cnf(matrix-4511, plain, ( ( _u9329 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9329) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4512, plain, ( ( _u9330 = 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)), _u9330)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9330) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4513, plain, ( ( _u9330 = 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)), _u9330)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9330) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9331)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9332), 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), _u9332), _u9333))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9331))), _u9333)) )).
% 12.21/12.46 cnf(matrix-4515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9335), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9336), 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), _u9336), _u9335))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9334)))) )).
% 12.21/12.46 cnf(matrix-4516, plain, ( ~class_Groups_Ocomm__monoid__add(_u9338) | ~class_Groups_Ocomm__monoid__mult(_u9338) | ( _u9339 != _u9340) | ~c_Nat__Transfer_Onat__set(_u9340) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u9338), _u9341), _u9339) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u9338), _u9342), _u9340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem228(_u9342, _u9341, _u9340, _u9339, _u9338))) )).
% 12.21/12.46 cnf(matrix-4517, plain, ( ~class_Groups_Ocomm__monoid__add(_u9338) | ~class_Groups_Ocomm__monoid__mult(_u9338) | ( _u9339 != _u9340) | ~c_Nat__Transfer_Onat__set(_u9340) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u9338), _u9341), _u9339) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u9338), _u9342), _u9340)) | ( hAPP(_u9341, skolem228(_u9342, _u9341, _u9340, _u9339, _u9338)) != hAPP(_u9342, skolem228(_u9342, _u9341, _u9340, _u9339, _u9338))) )).
% 12.21/12.46 cnf(matrix-4518, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9343) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9343), _u9344)) | ( c_Complete__Lattice_OSup__class_OSup(_u9343, _u9344) = hAPP(hAPP(c_Finite__Set_Ofold(_u9343, _u9343, c_Lattices_Osemilattice__sup__class_Osup(_u9343)), c_Orderings_Obot__class_Obot(_u9343)), _u9344)) )).
% 12.21/12.46 cnf(matrix-4519, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9345, tc_HOL_Obool)), _u9346), _u9347)) | ~hBOOL(hAPP(hAPP(c_member(_u9345), _u9348), _u9346)) | hBOOL(hAPP(hAPP(c_member(_u9345), _u9348), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9345, tc_HOL_Obool), _u9347))) )).
% 12.21/12.46 cnf(matrix-4520, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9349), hAPP(c_Groups_Oabs__class_Oabs(_u9349), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9350, _u9349), _u9351), _u9352))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9350, _u9349), hAPP(hAPP(c_COMBB(_u9349, _u9349, _u9350), c_Groups_Oabs__class_Oabs(_u9349)), _u9351)), _u9352))) )).
% 12.21/12.46 cnf(matrix-4521, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9353) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9353), c_Groups_Ozero__class_Ozero(_u9353)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9354, _u9353), hAPP(hAPP(c_COMBB(_u9353, _u9353, _u9354), c_Groups_Oabs__class_Oabs(_u9353)), _u9355)), _u9356))) )).
% 12.21/12.46 cnf(matrix-4522, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9357, tc_HOL_Obool), hAPP(c_Set_OPow(_u9357), _u9358)) = _u9358) )).
% 12.21/12.46 cnf(matrix-4523, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9359) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9359), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9359), _u9360), _u9361)) = hAPP(c_Groups_Oabs__class_Oabs(_u9359), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9359), _u9361), _u9360))) )).
% 12.21/12.46 cnf(matrix-4524, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9362), hAPP(c_Groups_Oabs__class_Oabs(_u9362), _u9363)), _u9364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9362), _u9363), _u9364)) )).
% 12.21/12.46 cnf(matrix-4525, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9365), _u9366), hAPP(c_Groups_Oabs__class_Oabs(_u9365), _u9366))) )).
% 12.21/12.46 cnf(matrix-4526, plain, ( ~class_Rings_Olinordered__idom(_u9367) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9367), c_Groups_Oone__class_Oone(_u9367)) = c_Groups_Oone__class_Oone(_u9367)) )).
% 12.21/12.46 cnf(matrix-4527, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9368) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9368), hAPP(c_Groups_Ouminus__class_Ouminus(_u9368), _u9369)) = hAPP(c_Groups_Oabs__class_Oabs(_u9368), _u9369)) )).
% 12.21/12.46 cnf(matrix-4528, plain, ( ~class_Rings_Olinordered__idom(_u9370) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9370), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9370), _u9371)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9370), _u9371)) )).
% 12.21/12.46 cnf(matrix-4529, plain, ( ~class_Rings_Olinordered__idom(_u9372) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9372), hAPP(hAPP(c_Power_Opower__class_Opower(_u9372), _u9373), _u9374)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9372), hAPP(c_Groups_Oabs__class_Oabs(_u9372), _u9373)), _u9374)) )).
% 12.21/12.46 cnf(matrix-4530, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9375) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9375), hAPP(c_Groups_Oabs__class_Oabs(_u9375), _u9376)) = hAPP(c_Groups_Oabs__class_Oabs(_u9375), _u9376)) )).
% 12.21/12.46 cnf(matrix-4531, plain, ( ~class_Rings_Olinordered__idom(_u9377) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9377), _u9378), _u9379)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9377), hAPP(c_Groups_Oabs__class_Oabs(_u9377), _u9378)), hAPP(c_Groups_Oabs__class_Oabs(_u9377), _u9379))) )).
% 12.21/12.46 cnf(matrix-4532, plain, ( ~class_Rings_Olinordered__idom(_u9380) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9380), hAPP(c_Groups_Oabs__class_Oabs(_u9380), _u9381)), hAPP(c_Groups_Oabs__class_Oabs(_u9380), _u9381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9380), _u9381), _u9381)) )).
% 12.21/12.46 cnf(matrix-4533, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9382) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9382), hAPP(c_Groups_Oabs__class_Oabs(_u9382), _u9383)), hAPP(c_Groups_Oabs__class_Oabs(_u9382), _u9384))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9382), hAPP(c_Groups_Oabs__class_Oabs(_u9382), _u9383)), hAPP(c_Groups_Oabs__class_Oabs(_u9382), _u9384))) )).
% 12.21/12.46 cnf(matrix-4534, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9385) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9385), _u9386) != c_Groups_Ozero__class_Ozero(_u9385)) | ( _u9386 = c_Groups_Ozero__class_Ozero(_u9385)) )).
% 12.21/12.46 cnf(matrix-4535, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9385) | ( _u9386 != c_Groups_Ozero__class_Ozero(_u9385)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9385), _u9386) = c_Groups_Ozero__class_Ozero(_u9385)) )).
% 12.21/12.46 cnf(matrix-4536, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9387) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9387), c_Groups_Ozero__class_Ozero(_u9387)) = c_Groups_Ozero__class_Ozero(_u9387)) )).
% 12.21/12.46 cnf(matrix-4537, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9388)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9388)) )).
% 12.21/12.46 cnf(matrix-4538, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9389) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9389), _u9390), _u9391)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9389), hAPP(c_Groups_Oabs__class_Oabs(_u9389), _u9390)), hAPP(c_Groups_Oabs__class_Oabs(_u9389), _u9391))) )).
% 12.21/12.46 cnf(matrix-4539, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9392) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9392), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9393, _u9392), hAPP(hAPP(c_COMBB(_u9392, _u9392, _u9393), c_Groups_Oabs__class_Oabs(_u9392)), _u9394)), _u9395)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9393, _u9392), hAPP(hAPP(c_COMBB(_u9392, _u9392, _u9393), c_Groups_Oabs__class_Oabs(_u9392)), _u9394)), _u9395)) )).
% 12.21/12.46 cnf(matrix-4540, plain, ( ~class_Fields_Olinordered__field(_u9396) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9396), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9397, _u9396), _u9398), _u9399)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9397, _u9396), hAPP(hAPP(c_COMBB(_u9396, _u9396, _u9397), c_Groups_Oabs__class_Oabs(_u9396)), _u9398)), _u9399)) )).
% 12.21/12.46 cnf(matrix-4541, plain, ( ( hAPP(c_Set_Oimage(_u9400, _u9401, _u9402), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9400, tc_HOL_Obool), _u9403)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9400, tc_HOL_Obool), tc_fun(_u9401, tc_HOL_Obool)), _u9403), c_Set_Oimage(_u9400, _u9401, _u9402))) )).
% 12.21/12.46 cnf(matrix-4542, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9404, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9404, tc_HOL_Obool), _u9405)), _u9406) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9404, tc_HOL_Obool), tc_fun(_u9404, tc_HOL_Obool)), _u9405), hAPP(hAPP(c_COMBC(tc_fun(_u9404, tc_HOL_Obool), tc_fun(_u9404, tc_HOL_Obool), tc_fun(_u9404, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9404, tc_HOL_Obool))), _u9406))) )).
% 12.21/12.46 cnf(matrix-4543, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9407, tc_HOL_Obool)), _u9408), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9407, tc_HOL_Obool), _u9409)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9407, tc_HOL_Obool), tc_fun(_u9407, tc_HOL_Obool)), _u9409), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9407, tc_HOL_Obool)), _u9408))) )).
% 12.21/12.46 cnf(matrix-4544, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9410, tc_HOL_Obool), tc_fun(_u9411, tc_HOL_Obool)), _u9412), hAPP(hAPP(c_COMBC(tc_fun(_u9410, tc_HOL_Obool), tc_fun(_u9410, tc_fun(_u9411, tc_HOL_Obool)), tc_fun(_u9411, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9410, tc_fun(_u9411, tc_HOL_Obool))), _u9413)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9410, tc_fun(_u9411, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9410, tc_HOL_Obool), _u9412)), _u9413)) )).
% 12.21/12.46 cnf(matrix-4545, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9414, tc_fun(_u9415, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9414, tc_HOL_Obool), _u9416)), _u9417) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9414, tc_HOL_Obool), tc_fun(_u9415, tc_HOL_Obool)), _u9416), hAPP(hAPP(c_COMBC(tc_fun(_u9414, tc_HOL_Obool), tc_fun(_u9414, tc_fun(_u9415, tc_HOL_Obool)), tc_fun(_u9415, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9414, tc_fun(_u9415, tc_HOL_Obool))), _u9417))) )).
% 12.21/12.46 cnf(matrix-4546, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), c_Complete__Lattice_OSup__class_OSup(_u9420, _u9421)), _u9422)) | ~hBOOL(hAPP(hAPP(c_member(_u9420), _u9418), _u9421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), _u9418), _u9422)) )).
% 12.21/12.46 cnf(matrix-4547, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), c_Complete__Lattice_OSup__class_OSup(_u9420, _u9421)), _u9422)) | hBOOL(hAPP(hAPP(c_member(_u9420), skolem229(_u9422, _u9421, _u9420)), _u9421)) )).
% 12.21/12.46 cnf(matrix-4548, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), c_Complete__Lattice_OSup__class_OSup(_u9420, _u9421)), _u9422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9420), skolem229(_u9422, _u9421, _u9420)), _u9422)) )).
% 12.21/12.46 cnf(matrix-4549, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9425) | ~class_Orderings_Olinorder(_u9425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), c_Complete__Lattice_OSup__class_OSup(_u9425, _u9427))) | hBOOL(hAPP(hAPP(c_member(_u9425), skolem230(_u9427, _u9426, _u9425)), _u9427)) )).
% 12.21/12.46 cnf(matrix-4550, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9425) | ~class_Orderings_Olinorder(_u9425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), c_Complete__Lattice_OSup__class_OSup(_u9425, _u9427))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), skolem230(_u9427, _u9426, _u9425))) )).
% 12.21/12.46 cnf(matrix-4551, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9425) | ~class_Orderings_Olinorder(_u9425) | ~hBOOL(hAPP(hAPP(c_member(_u9425), _u9424), _u9427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), _u9424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9425), _u9426), c_Complete__Lattice_OSup__class_OSup(_u9425, _u9427))) )).
% 12.21/12.46 cnf(matrix-4552, plain, ( ( hAPP(c_Set_Ovimage(_u9428, _u9429, _u9430), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9429, tc_HOL_Obool), _u9431)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9429, tc_HOL_Obool), tc_fun(_u9428, tc_HOL_Obool)), _u9431), c_Set_Ovimage(_u9428, _u9429, _u9430))) )).
% 12.21/12.46 cnf(matrix-4553, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9432), c_Groups_Ozero__class_Ozero(_u9432)), hAPP(c_Groups_Oabs__class_Oabs(_u9432), _u9433))) )).
% 12.21/12.46 cnf(matrix-4554, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9434), hAPP(c_Groups_Oabs__class_Oabs(_u9434), _u9435)), c_Groups_Ozero__class_Ozero(_u9434))) | ( _u9435 = c_Groups_Ozero__class_Ozero(_u9434)) )).
% 12.21/12.46 cnf(matrix-4555, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9434) | ( _u9435 != c_Groups_Ozero__class_Ozero(_u9434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9434), hAPP(c_Groups_Oabs__class_Oabs(_u9434), _u9435)), c_Groups_Ozero__class_Ozero(_u9434))) )).
% 12.21/12.46 cnf(matrix-4556, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9436), c_Groups_Ozero__class_Ozero(_u9436)), _u9437)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9436), _u9437) = _u9437) )).
% 12.21/12.46 cnf(matrix-4557, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9438), c_Groups_Ozero__class_Ozero(_u9438)), _u9439)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9438), _u9439) = _u9439) )).
% 12.21/12.46 cnf(matrix-4558, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9440), c_Groups_Ozero__class_Ozero(_u9440)), hAPP(c_Groups_Oabs__class_Oabs(_u9440), _u9441))) | ( _u9441 != c_Groups_Ozero__class_Ozero(_u9440)) )).
% 12.21/12.46 cnf(matrix-4559, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9440) | ( _u9441 = c_Groups_Ozero__class_Ozero(_u9440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9440), c_Groups_Ozero__class_Ozero(_u9440)), hAPP(c_Groups_Oabs__class_Oabs(_u9440), _u9441))) )).
% 12.21/12.46 cnf(matrix-4560, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9442), hAPP(c_Groups_Oabs__class_Oabs(_u9442), _u9443)), c_Groups_Ozero__class_Ozero(_u9442))) )).
% 12.21/12.46 cnf(matrix-4561, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9444), hAPP(c_Groups_Oabs__class_Oabs(_u9444), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9444), _u9445), _u9446))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9444), hAPP(c_Groups_Oabs__class_Oabs(_u9444), _u9445)), hAPP(c_Groups_Oabs__class_Oabs(_u9444), _u9446)))) )).
% 12.21/12.46 cnf(matrix-4562, plain, ( ~class_Rings_Olinordered__idom(_u9447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9447), hAPP(c_Groups_Oabs__class_Oabs(_u9447), _u9448)), _u9449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9447), hAPP(c_Groups_Oabs__class_Oabs(_u9447), _u9450)), _u9451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9447), hAPP(c_Groups_Oabs__class_Oabs(_u9447), _u9448)), hAPP(c_Groups_Oabs__class_Oabs(_u9447), _u9450))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9447), _u9449), _u9451))) )).
% 12.21/12.46 cnf(matrix-4563, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9452) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9452), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9452), hAPP(c_Groups_Oabs__class_Oabs(_u9452), _u9453)), hAPP(c_Groups_Oabs__class_Oabs(_u9452), _u9454))), hAPP(c_Groups_Oabs__class_Oabs(_u9452), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9452), _u9454), _u9453)))) )).
% 12.21/12.46 cnf(matrix-4564, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9455) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9455), hAPP(c_Groups_Oabs__class_Oabs(_u9455), _u9456)), hAPP(c_Groups_Oabs__class_Oabs(_u9455), _u9457))), hAPP(c_Groups_Oabs__class_Oabs(_u9455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9455), _u9456), _u9457)))) )).
% 12.21/12.46 cnf(matrix-4565, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9458) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9458), hAPP(c_Groups_Oabs__class_Oabs(_u9458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9458), hAPP(c_Groups_Oabs__class_Oabs(_u9458), _u9459)), hAPP(c_Groups_Oabs__class_Oabs(_u9458), _u9460)))), hAPP(c_Groups_Oabs__class_Oabs(_u9458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9458), _u9459), _u9460)))) )).
% 12.21/12.46 cnf(matrix-4566, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9461), hAPP(c_Groups_Oabs__class_Oabs(_u9461), _u9462)), _u9463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9461), hAPP(c_Groups_Ouminus__class_Ouminus(_u9461), _u9462)), _u9463)) )).
% 12.21/12.46 cnf(matrix-4567, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9464) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9464), _u9465), _u9466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9464), hAPP(c_Groups_Ouminus__class_Ouminus(_u9464), _u9465)), _u9466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9464), hAPP(c_Groups_Oabs__class_Oabs(_u9464), _u9465)), _u9466)) )).
% 12.21/12.46 cnf(matrix-4568, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Oabs__class_Oabs(_u9467), _u9468)), _u9469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), _u9468), _u9469)) )).
% 12.21/12.46 cnf(matrix-4569, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Oabs__class_Oabs(_u9467), _u9468)), _u9469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Ouminus__class_Ouminus(_u9467), _u9468)), _u9469)) )).
% 12.21/12.46 cnf(matrix-4570, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), _u9468), _u9469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Ouminus__class_Ouminus(_u9467), _u9468)), _u9469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9467), hAPP(c_Groups_Oabs__class_Oabs(_u9467), _u9468)), _u9469)) )).
% 12.21/12.46 cnf(matrix-4571, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9470) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9470), hAPP(c_Groups_Ouminus__class_Ouminus(_u9470), _u9471)), hAPP(c_Groups_Oabs__class_Oabs(_u9470), _u9471))) )).
% 12.21/12.46 cnf(matrix-4572, plain, ( ~class_Rings_Olinordered__idom(_u9472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Oabs__class_Oabs(_u9472), _u9473)), _u9474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), _u9473), _u9474)) )).
% 12.21/12.46 cnf(matrix-4573, plain, ( ~class_Rings_Olinordered__idom(_u9472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Oabs__class_Oabs(_u9472), _u9473)), _u9474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Ouminus__class_Ouminus(_u9472), _u9473)), _u9474)) )).
% 12.21/12.46 cnf(matrix-4574, plain, ( ~class_Rings_Olinordered__idom(_u9472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), _u9473), _u9474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Ouminus__class_Ouminus(_u9472), _u9473)), _u9474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9472), hAPP(c_Groups_Oabs__class_Oabs(_u9472), _u9473)), _u9474)) )).
% 12.21/12.46 cnf(matrix-4575, plain, ( ~class_Fields_Olinordered__field(_u9475) | ( _u9476 = c_Groups_Ozero__class_Ozero(_u9475)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9475), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9475), _u9477), _u9476)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9475), hAPP(c_Groups_Oabs__class_Oabs(_u9475), _u9477)), hAPP(c_Groups_Oabs__class_Oabs(_u9475), _u9476))) )).
% 12.21/12.46 cnf(matrix-4576, plain, ( ~class_Rings_Olinordered__idom(_u9478) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9478), hAPP(hAPP(c_Power_Opower__class_Opower(_u9478), hAPP(c_Groups_Ouminus__class_Ouminus(_u9478), _u9479)), _u9480)) = hAPP(c_Groups_Oabs__class_Oabs(_u9478), hAPP(hAPP(c_Power_Opower__class_Opower(_u9478), _u9479), _u9480))) )).
% 12.21/12.46 cnf(matrix-4577, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), _u9482)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9481) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4578, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9488, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9488, tc_HOL_Obool), _u9490)), _u9492) != c_Orderings_Obot__class_Obot(tc_fun(_u9488, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9488, tc_HOL_Obool)), _u9483), _u9490)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9488, tc_HOL_Obool)), _u9483), _u9492) = c_Orderings_Obot__class_Obot(tc_fun(_u9488, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4579, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9489, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9489, tc_HOL_Obool), _u9491)), _u9493) = c_Orderings_Obot__class_Obot(tc_fun(_u9489, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9489, tc_HOL_Obool)), skolem231(_u9493, _u9491, _u9489)), _u9491)) )).
% 12.21/12.46 cnf(matrix-4580, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9489, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9489, tc_HOL_Obool), _u9491)), _u9493) = c_Orderings_Obot__class_Obot(tc_fun(_u9489, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9489, tc_HOL_Obool)), skolem231(_u9493, _u9491, _u9489)), _u9493) != c_Orderings_Obot__class_Obot(tc_fun(_u9489, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4581, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9494, tc_HOL_Obool)), _u9495), _u9496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9494, tc_HOL_Obool)), _u9495), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9494, tc_HOL_Obool), _u9496))) )).
% 12.21/12.46 cnf(matrix-4582, plain, ( ~class_Rings_Olinordered__idom(_u9497) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9497), c_Groups_Osgn__class_Osgn(_u9497, _u9498)), hAPP(c_Groups_Oabs__class_Oabs(_u9497), _u9498)) = _u9498) )).
% 12.21/12.46 cnf(matrix-4583, plain, ( ~class_Rings_Olinordered__idom(_u9499) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9499), _u9500) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9499), _u9500), c_Groups_Osgn__class_Osgn(_u9499, _u9500))) )).
% 12.21/12.46 cnf(matrix-4584, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9501, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9501, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9501, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4585, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u9502, tc_HOL_Obool), tc_HOL_Obool)), _u9503), _u9504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9502, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9502, tc_HOL_Obool), _u9503)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9502, tc_HOL_Obool), _u9504))) )).
% 12.21/12.46 cnf(matrix-4586, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9505, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9505, tc_HOL_Obool)), _u9506), _u9507)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9505, tc_HOL_Obool)), _u9506), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9505, tc_HOL_Obool), _u9507))) )).
% 12.21/12.46 cnf(matrix-4587, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9508), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9508, tc_HOL_Obool), _u9509))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9508, tc_HOL_Obool)), _u9509)) )).
% 12.21/12.46 cnf(matrix-4588, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u9510, tc_HOL_Obool), tc_HOL_Obool)), _u9511), hAPP(c_Set_OPow(_u9510), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9510, tc_HOL_Obool), _u9511)))) )).
% 12.21/12.46 cnf(matrix-4589, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9512, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u9512, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u9512, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4590, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9513, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u9513, tc_HOL_Obool), tc_HOL_Obool)), _u9514), _u9515)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9513, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9513, tc_HOL_Obool), _u9514)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9513, tc_HOL_Obool), _u9515))) )).
% 12.21/12.46 cnf(matrix-4591, plain, ( ~class_Rings_Oordered__ring__abs(_u9516) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9517)), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), c_Groups_Ozero__class_Ozero(_u9516)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), c_Groups_Ozero__class_Ozero(_u9516)), _u9518)) )).
% 12.21/12.46 cnf(matrix-4592, plain, ( ~class_Rings_Oordered__ring__abs(_u9516) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9517)), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), c_Groups_Ozero__class_Ozero(_u9516)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), _u9518), c_Groups_Ozero__class_Ozero(_u9516))) )).
% 12.21/12.46 cnf(matrix-4593, plain, ( ~class_Rings_Oordered__ring__abs(_u9516) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9517)), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), _u9517), c_Groups_Ozero__class_Ozero(_u9516))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), c_Groups_Ozero__class_Ozero(_u9516)), _u9518)) )).
% 12.21/12.46 cnf(matrix-4594, plain, ( ~class_Rings_Oordered__ring__abs(_u9516) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9516), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9517)), hAPP(c_Groups_Oabs__class_Oabs(_u9516), _u9518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), _u9517), c_Groups_Ozero__class_Ozero(_u9516))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9516), _u9518), c_Groups_Ozero__class_Ozero(_u9516))) )).
% 12.21/12.46 cnf(matrix-4595, plain, ( ~class_Rings_Olinordered__idom(_u9519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9519), c_Groups_Ozero__class_Ozero(_u9519)), _u9520)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9519), hAPP(c_Groups_Oabs__class_Oabs(_u9519), _u9521)), _u9520) = hAPP(c_Groups_Oabs__class_Oabs(_u9519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9519), _u9521), _u9520))) )).
% 12.21/12.46 cnf(matrix-4596, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9522, tc_fun(_u9523, tc_HOL_Obool)), _u9524), _u9525) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9523, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9522, tc_fun(_u9523, tc_HOL_Obool), _u9525), _u9524))) )).
% 12.21/12.46 cnf(matrix-4597, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9526, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9527, tc_fun(_u9526, tc_HOL_Obool), _u9528), _u9529)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9527, tc_fun(_u9526, tc_HOL_Obool)), _u9529), _u9528)) )).
% 12.21/12.46 cnf(matrix-4598, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9530) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9530), hAPP(c_Groups_Oabs__class_Oabs(_u9530), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9530), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9530), _u9531), _u9532)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9530), _u9533), _u9534)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9530), hAPP(c_Groups_Oabs__class_Oabs(_u9530), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9530), _u9531), _u9533))), hAPP(c_Groups_Oabs__class_Oabs(_u9530), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9530), _u9532), _u9534))))) )).
% 12.21/12.46 cnf(matrix-4599, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9535) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9535), hAPP(c_Groups_Oabs__class_Oabs(_u9535), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9535), _u9536), _u9537))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9535), hAPP(c_Groups_Oabs__class_Oabs(_u9535), _u9536)), hAPP(c_Groups_Oabs__class_Oabs(_u9535), _u9537)))) )).
% 12.21/12.46 cnf(matrix-4600, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9538), _u9539), c_Groups_Ozero__class_Ozero(_u9538))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9538), _u9539) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9538), _u9539)) )).
% 12.21/12.46 cnf(matrix-4601, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9540) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), hAPP(c_Groups_Ouminus__class_Ouminus(_u9540), hAPP(c_Groups_Oabs__class_Oabs(_u9540), _u9541))), c_Groups_Ozero__class_Ozero(_u9540))) )).
% 12.21/12.46 cnf(matrix-4602, plain, ( ~class_Groups_Oabs__if(_u9542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9542), _u9543), c_Groups_Ozero__class_Ozero(_u9542))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9542), _u9543) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9542), _u9543)) )).
% 12.21/12.46 cnf(matrix-4603, plain, ( ~class_Groups_Oabs__if(_u9542) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9542), _u9543), c_Groups_Ozero__class_Ozero(_u9542))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9542), _u9543) = _u9543) )).
% 12.21/12.46 cnf(matrix-4604, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9544), _u9545), c_Groups_Ozero__class_Ozero(_u9544))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9544), _u9545) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9544), _u9545)) )).
% 12.21/12.46 cnf(matrix-4605, plain, ( ~class_Rings_Olinordered__idom(_u9546) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9546), c_Groups_Ozero__class_Ozero(_u9546)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9546), hAPP(c_Groups_Oabs__class_Oabs(_u9546), _u9547)), _u9548))) )).
% 12.21/12.46 cnf(matrix-4606, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9549), c_Groups_Ozero__class_Ozero(_u9549)), _u9550)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9549), hAPP(c_Groups_Oabs__class_Oabs(_u9549), _u9551)), _u9550) = hAPP(c_Groups_Oabs__class_Oabs(_u9549), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9549), _u9551), _u9550))) )).
% 12.21/12.46 cnf(matrix-4607, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9552) | ~hBOOL(hAPP(hAPP(c_member(_u9552), _u9553), _u9554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9552), _u9553), c_Complete__Lattice_OSup__class_OSup(_u9552, _u9554))) )).
% 12.21/12.46 cnf(matrix-4608, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9555) | ( c_Complete__Lattice_OSup__class_OSup(_u9555, c_Orderings_Obot__class_Obot(tc_fun(_u9555, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u9555)) )).
% 12.21/12.46 cnf(matrix-4609, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9556) | ( c_Complete__Lattice_OSup__class_OSup(_u9556, hAPP(hAPP(c_Set_Oinsert(_u9556), _u9557), c_Orderings_Obot__class_Obot(tc_fun(_u9556, tc_HOL_Obool)))) = _u9557) )).
% 12.21/12.46 cnf(matrix-4610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9559)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u9559 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4611, plain, ( ( _u9560 != 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), _u9560)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4612, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9561) | ( c_Complete__Lattice_OSup__class_OSup(_u9561, hAPP(hAPP(c_Set_Oinsert(_u9561), _u9562), _u9563)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9561), _u9562), c_Complete__Lattice_OSup__class_OSup(_u9561, _u9563))) )).
% 12.21/12.46 cnf(matrix-4613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9565) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9565)) )).
% 12.21/12.46 cnf(matrix-4614, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9566), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9566) = _u9566) )).
% 12.21/12.46 cnf(matrix-4615, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9567) | ( c_Complete__Lattice_OSup__class_OSup(_u9567, c_Orderings_Otop__class_Otop(tc_fun(_u9567, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u9567)) )).
% 12.21/12.46 cnf(matrix-4616, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9568), _u9569))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9568))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9569)))) )).
% 12.21/12.46 cnf(matrix-4617, 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), _u9570)), _u9571))) )).
% 12.21/12.46 cnf(matrix-4618, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9572, tc_fun(_u9573, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9572, tc_HOL_Obool), _u9574)), _u9575) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9572, tc_HOL_Obool), tc_fun(_u9573, tc_HOL_Obool)), _u9574), hAPP(hAPP(c_COMBC(tc_fun(_u9572, tc_HOL_Obool), tc_fun(_u9572, tc_fun(_u9573, tc_HOL_Obool)), tc_fun(_u9573, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9572, tc_fun(_u9573, tc_HOL_Obool))), _u9575))) )).
% 12.21/12.46 cnf(matrix-4619, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9576, tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), _u9578), hAPP(hAPP(c_COMBC(tc_fun(_u9576, tc_HOL_Obool), tc_fun(_u9576, tc_fun(_u9577, tc_HOL_Obool)), tc_fun(_u9577, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9576, tc_fun(_u9577, tc_HOL_Obool))), _u9579)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9576, tc_fun(_u9577, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9576, tc_HOL_Obool), _u9578)), _u9579)) )).
% 12.21/12.46 cnf(matrix-4620, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9580, tc_HOL_Obool)), _u9581), _u9582) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9580, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9580, tc_HOL_Obool)), _u9581), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9580, tc_HOL_Obool)), _u9582), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9580, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-4621, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9583, tc_fun(_u9584, tc_HOL_Obool)), _u9585), hAPP(hAPP(c_COMBS(_u9583, tc_fun(_u9584, tc_HOL_Obool), tc_fun(_u9584, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9584, tc_HOL_Obool), tc_fun(tc_fun(_u9584, tc_HOL_Obool), tc_fun(_u9584, tc_HOL_Obool)), _u9583), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9584, tc_HOL_Obool))), _u9586)), _u9587)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9584, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9584, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9583, tc_fun(_u9584, tc_HOL_Obool), _u9586), _u9585))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9584, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9583, tc_fun(_u9584, tc_HOL_Obool), _u9587), _u9585)))) )).
% 12.21/12.46 cnf(matrix-4622, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9588, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9588, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u9588, tc_HOL_Obool), tc_HOL_Obool)), _u9589), _u9590))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9588, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9588, tc_HOL_Obool), _u9589)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9588, tc_HOL_Obool), _u9590)))) )).
% 12.21/12.46 cnf(matrix-4623, 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), _u9593)), _u9595))) | ( _u9593 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9595 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4624, 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), _u9594)), _u9596))) | ( _u9594 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4625, 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), _u9594)), _u9596))) | ( _u9596 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4626, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9597) | ( c_Complete__Lattice_OSup__class_OSup(_u9597, hAPP(hAPP(c_Set_Oinsert(_u9597), _u9598), hAPP(hAPP(c_Set_Oinsert(_u9597), _u9599), c_Orderings_Obot__class_Obot(tc_fun(_u9597, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9597), _u9598), _u9599)) )).
% 12.21/12.46 cnf(matrix-4627, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9600) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9600), _u9601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9600), _u9602), c_Complete__Lattice_OSup__class_OSup(_u9600, _u9601)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9600, _u9600, c_Lattices_Osemilattice__sup__class_Osup(_u9600)), _u9602), _u9601)) )).
% 12.21/12.46 cnf(matrix-4628, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9603), _u9604)) | ( _u9604 = c_Orderings_Obot__class_Obot(tc_fun(_u9603, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9603, _u9604) = c_Complete__Lattice_OSup__class_OSup(_u9603, _u9604)) )).
% 12.21/12.46 cnf(matrix-4629, plain, ( ( c_Nitpick_Oint__lcm(_u9605, _u9606) = 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), _u9605)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9606))))) )).
% 12.21/12.46 cnf(matrix-4630, plain, ( ( _u9608 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9609, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u9609, _u9610, _u9611, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9609, tc_HOL_Obool), _u9608)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9609, tc_HOL_Obool)), skolem232(_u9611, _u9610, _u9609, _u9608)), _u9608)) )).
% 12.21/12.46 cnf(matrix-4631, plain, ( ( _u9608 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9609, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u9609, _u9610, _u9611, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9609, tc_HOL_Obool), _u9608)) | ~c_Fun_Oinj__on(_u9609, _u9610, _u9611, skolem232(_u9611, _u9610, _u9609, _u9608)) )).
% 12.21/12.46 cnf(matrix-4632, plain, ( ( _u9614 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9613, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9613, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9613, tc_HOL_Obool), _u9614)), _u9615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9613, tc_HOL_Obool)), skolem233(_u9615, _u9614, _u9613)), _u9614)) )).
% 12.21/12.46 cnf(matrix-4633, plain, ( ( _u9614 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9613, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9613, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9613, tc_HOL_Obool), _u9614)), _u9615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9613, tc_HOL_Obool)), skolem233(_u9615, _u9614, _u9613)), _u9615)) )).
% 12.21/12.46 cnf(matrix-4634, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem234(_u9620, _u9619, _u9618)), _u9618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9619, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9620), hAPP(_u9619, _u9618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem235(_u9620, _u9619, _u9618)), _u9618)) )).
% 12.21/12.46 cnf(matrix-4635, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem234(_u9620, _u9619, _u9618)), _u9618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9619, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9620), hAPP(_u9619, _u9618))) | ( hAPP(_u9619, skolem235(_u9620, _u9619, _u9618)) = _u9620) )).
% 12.21/12.46 cnf(matrix-4636, 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(_u9619, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem234(_u9620, _u9619, _u9618)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u9619, skolem234(_u9620, _u9619, _u9618))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9619, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9620), hAPP(_u9619, _u9618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem235(_u9620, _u9619, _u9618)), _u9618)) )).
% 12.21/12.46 cnf(matrix-4637, 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(_u9619, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem234(_u9620, _u9619, _u9618)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u9619, skolem234(_u9620, _u9619, _u9618))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9619, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9620), hAPP(_u9619, _u9618))) | ( hAPP(_u9619, skolem235(_u9620, _u9619, _u9618)) = _u9620) )).
% 12.21/12.46 cnf(matrix-4638, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9621, tc_HOL_Obool), _u9622) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9621, tc_HOL_Obool), tc_fun(_u9621, tc_HOL_Obool)), _u9622), c_COMBI(tc_fun(_u9621, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4639, plain, ( ( c_Nitpick_Onat__lcm(_u9623, _u9624) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9623), _u9624)), c_Nitpick_Onat__gcd(_u9623, _u9624))) )).
% 12.21/12.46 cnf(matrix-4640, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9626, tc_HOL_Obool)), _u9627)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9626), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9626, tc_HOL_Obool), _u9627))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9626, tc_HOL_Obool)), skolem236(_u9627, _u9626)), _u9627)) )).
% 12.21/12.46 cnf(matrix-4641, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9626, tc_HOL_Obool)), _u9627)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9626), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9626, tc_HOL_Obool), _u9627))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9626), skolem236(_u9627, _u9626))) )).
% 12.21/12.46 cnf(matrix-4642, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), _u9631), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9630, tc_HOL_Obool), _u9632)) = c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), skolem237(_u9632, _u9631, _u9630)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632))) )).
% 12.21/12.46 cnf(matrix-4643, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), _u9631), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9630, tc_HOL_Obool), _u9632)) = c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), skolem238(_u9632, _u9631, _u9630)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632))) )).
% 12.21/12.46 cnf(matrix-4644, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), _u9631), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9630, tc_HOL_Obool), _u9632)) = c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) | ( skolem237(_u9632, _u9631, _u9630) != skolem238(_u9632, _u9631, _u9630)) )).
% 12.21/12.46 cnf(matrix-4645, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u9630, tc_HOL_Obool)), _u9631), _u9632)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), _u9631), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9630, tc_HOL_Obool), _u9632)) = c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9630, tc_HOL_Obool)), skolem237(_u9632, _u9631, _u9630)), skolem238(_u9632, _u9631, _u9630)) != c_Orderings_Obot__class_Obot(tc_fun(_u9630, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4646, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem239(_u9638, _u9637, _u9636)), _u9637)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem240(_u9638, _u9637, _u9636)), _u9637)) )).
% 12.21/12.46 cnf(matrix-4647, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem239(_u9638, _u9637, _u9636)), _u9637)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem241(_u9638, _u9637, _u9636)), _u9637)) )).
% 12.21/12.46 cnf(matrix-4648, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem239(_u9638, _u9637, _u9636)), _u9637)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( skolem240(_u9638, _u9637, _u9636) != skolem241(_u9638, _u9637, _u9636)) )).
% 12.21/12.46 cnf(matrix-4649, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem239(_u9638, _u9637, _u9636)), _u9637)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9636, tc_HOL_Obool)), skolem240(_u9638, _u9637, _u9636)), skolem241(_u9638, _u9637, _u9636)) != c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4650, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(c_Finite__Set_Ocard(_u9636), skolem239(_u9638, _u9637, _u9636)) != _u9638) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem240(_u9638, _u9637, _u9636)), _u9637)) )).
% 12.21/12.46 cnf(matrix-4651, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(c_Finite__Set_Ocard(_u9636), skolem239(_u9638, _u9637, _u9636)) != _u9638) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9636, tc_HOL_Obool)), skolem241(_u9638, _u9637, _u9636)), _u9637)) )).
% 12.21/12.46 cnf(matrix-4652, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(c_Finite__Set_Ocard(_u9636), skolem239(_u9638, _u9637, _u9636)) != _u9638) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( skolem240(_u9638, _u9637, _u9636) != skolem241(_u9638, _u9637, _u9636)) )).
% 12.21/12.46 cnf(matrix-4653, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(c_Finite__Set_Ocard(_u9636), skolem239(_u9638, _u9637, _u9636)) != _u9638) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9638), hAPP(c_Finite__Set_Ocard(tc_fun(_u9636, tc_HOL_Obool)), _u9637)) = hAPP(c_Finite__Set_Ocard(_u9636), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9636, tc_HOL_Obool), _u9637))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9636, tc_HOL_Obool)), skolem240(_u9638, _u9637, _u9636)), skolem241(_u9638, _u9637, _u9636)) != c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4654, plain, ( ( _u9641 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u9643, _u9641) = _u9643) )).
% 12.21/12.46 cnf(matrix-4655, plain, ( ( _u9642 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u9644, _u9642) = c_Nitpick_Onat__gcd(_u9642, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9644, _u9642))) )).
% 12.21/12.46 cnf(matrix-4656, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u9645), _u9646) = 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), _u9645)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9646))))) )).
% 12.21/12.46 cnf(matrix-4657, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem242(_u9651, _u9650, _u9649)), _u9649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9651), hAPP(_u9650, _u9649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem243(_u9651, _u9650, _u9649)), _u9649)) )).
% 12.21/12.46 cnf(matrix-4658, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem242(_u9651, _u9650, _u9649)), _u9649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9651), hAPP(_u9650, _u9649))) | ( hAPP(_u9650, skolem243(_u9651, _u9650, _u9649)) = _u9651) )).
% 12.21/12.46 cnf(matrix-4659, 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(_u9650, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem242(_u9651, _u9650, _u9649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u9650, skolem242(_u9651, _u9650, _u9649))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9651), hAPP(_u9650, _u9649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem243(_u9651, _u9650, _u9649)), _u9649)) )).
% 12.21/12.46 cnf(matrix-4660, 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(_u9650, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem242(_u9651, _u9650, _u9649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u9650, skolem242(_u9651, _u9650, _u9649))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u9650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9651), hAPP(_u9650, _u9649))) | ( hAPP(_u9650, skolem243(_u9651, _u9650, _u9649)) = _u9651) )).
% 12.21/12.46 cnf(matrix-4661, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9653), _u9654)) | 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(_u9653, tc_Nat_Onat), _u9655), _u9654))) | hBOOL(hAPP(hAPP(c_member(_u9653), skolem244(_u9655, _u9654, _u9653)), _u9654)) )).
% 12.21/12.46 cnf(matrix-4662, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9653), _u9654)) | 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(_u9653, tc_Nat_Onat), _u9655), _u9654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u9655, skolem244(_u9655, _u9654, _u9653)))) )).
% 12.21/12.46 cnf(matrix-4663, plain, ( ( _u9657 = c_Orderings_Obot__class_Obot(tc_fun(_u9658, tc_HOL_Obool))) | c_Fun_Oinj__on(_u9659, _u9660, _u9661, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9658, tc_fun(_u9659, tc_HOL_Obool)), _u9657), _u9662)) | hBOOL(hAPP(hAPP(c_member(_u9658), skolem245(_u9662, _u9661, _u9660, _u9659, _u9658, _u9657)), _u9657)) )).
% 12.21/12.46 cnf(matrix-4664, plain, ( ( _u9657 = c_Orderings_Obot__class_Obot(tc_fun(_u9658, tc_HOL_Obool))) | c_Fun_Oinj__on(_u9659, _u9660, _u9661, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9658, tc_fun(_u9659, tc_HOL_Obool)), _u9657), _u9662)) | ~c_Fun_Oinj__on(_u9659, _u9660, _u9661, hAPP(_u9662, skolem245(_u9662, _u9661, _u9660, _u9659, _u9658, _u9657))) )).
% 12.21/12.46 cnf(matrix-4665, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u9664, _u9665, _u9666, _u9667, _u9668, _u9669) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9665), _u9670)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9665), _u9671)) | ( hAPP(_u9669, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9665, tc_HOL_Obool)), _u9670), _u9671)) = hAPP(hAPP(_u9666, hAPP(_u9669, _u9670)), hAPP(_u9669, _u9671))) | hBOOL(hAPP(hAPP(c_member(_u9665), skolem246(_u9671, _u9670, _u9669, _u9668, _u9667, _u9666, _u9665)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9665, tc_HOL_Obool)), _u9670), _u9671))) )).
% 12.21/12.46 cnf(matrix-4666, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u9664, _u9665, _u9666, _u9667, _u9668, _u9669) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9665), _u9670)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9665), _u9671)) | ( hAPP(_u9669, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9665, tc_HOL_Obool)), _u9670), _u9671)) = hAPP(hAPP(_u9666, hAPP(_u9669, _u9670)), hAPP(_u9669, _u9671))) | ( hAPP(_u9668, skolem246(_u9671, _u9670, _u9669, _u9668, _u9667, _u9666, _u9665)) != _u9667) )).
% 12.21/12.46 cnf(matrix-4667, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9672)) | ( 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)), _u9672))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u9673)))) = 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)), _u9672))), 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, _u9673)))))) )).
% 12.21/12.46 cnf(matrix-4668, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9674)) | ( 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)), _u9674))), 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, _u9675))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4669, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9676)) | ( 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)), _u9676))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u9677))))) = 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)), _u9676))), 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, _u9677)))))) )).
% 12.21/12.46 cnf(matrix-4670, plain, ( ~hBOOL(hAPP(_u9678, _u9679)) | hBOOL(hAPP(hAPP(c_member(_u9680), _u9679), hAPP(c_Set_OCollect(_u9680), _u9678))) )).
% 12.21/12.46 cnf(matrix-4671, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), hAPP(c_Set_OCollect(_u9681), hAPP(hAPP(c_COMBS(_u9681, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9681), c_fconj), _u9682)), _u9683)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), hAPP(c_Set_OCollect(_u9681), _u9682))) )).
% 12.21/12.46 cnf(matrix-4672, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), hAPP(c_Set_OCollect(_u9681), hAPP(hAPP(c_COMBS(_u9681, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9681), c_fconj), _u9682)), _u9683)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), hAPP(c_Set_OCollect(_u9681), _u9683))) )).
% 12.21/12.46 cnf(matrix-4673, 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)), _u9684)))) )).
% 12.21/12.46 cnf(matrix-4674, 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)), _u9685)))) )).
% 12.21/12.46 cnf(matrix-4675, plain, ( ( hAPP(c_Set_OCollect(_u9686), hAPP(hAPP(c_COMBS(_u9686, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9686), c_fdisj), _u9687)), _u9688)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9686, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9686), _u9687)), hAPP(c_Set_OCollect(_u9686), _u9688))) )).
% 12.21/12.46 cnf(matrix-4676, plain, ( ( hAPP(c_Set_OCollect(_u9689), hAPP(hAPP(c_COMBS(_u9689, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9689), c_fconj), _u9690)), _u9691)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9689, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9689), _u9690)), hAPP(c_Set_OCollect(_u9689), _u9691))) )).
% 12.21/12.46 cnf(matrix-4677, plain, ( hBOOL(hAPP(_u9694, _u9693)) | ~hBOOL(hAPP(hAPP(c_member(_u9692), _u9693), hAPP(c_Set_OCollect(_u9692), _u9694))) )).
% 12.21/12.46 cnf(matrix-4678, plain, ( hBOOL(hAPP(_u9697, _u9696)) | ~hBOOL(hAPP(hAPP(c_member(_u9695), _u9696), hAPP(c_Set_OCollect(_u9695), _u9697))) )).
% 12.21/12.46 cnf(matrix-4679, plain, ( hBOOL(hAPP(_u9705, _u9703)) | ~hBOOL(hAPP(hAPP(c_member(_u9701), _u9703), hAPP(c_Set_OCollect(_u9701), _u9705))) )).
% 12.21/12.46 cnf(matrix-4680, plain, ( ~hBOOL(hAPP(_u9706, _u9704)) | hBOOL(hAPP(hAPP(c_member(_u9702), _u9704), hAPP(c_Set_OCollect(_u9702), _u9706))) )).
% 12.21/12.46 cnf(matrix-4681, plain, ( ( hAPP(c_Set_OCollect(_u9707), hAPP(hAPP(c_COMBC(_u9707, tc_fun(_u9707, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9707)), _u9708)) = _u9708) )).
% 12.21/12.46 cnf(matrix-4682, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9709, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9709), hAPP(c_COMBK(tc_HOL_Obool, _u9709), c_fFalse))) )).
% 12.21/12.46 cnf(matrix-4683, plain, ( ~hBOOL(hAPP(_u9716, _u9710)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9714, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u9714), _u9716)) )).
% 12.21/12.46 cnf(matrix-4684, plain, ( hBOOL(hAPP(_u9717, skolem247(_u9717))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9715, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9715), _u9717)) )).
% 12.21/12.46 cnf(matrix-4685, plain, ( ~hBOOL(hAPP(_u9724, _u9718)) | ( hAPP(c_Set_OCollect(_u9722), _u9724) != c_Orderings_Obot__class_Obot(tc_fun(_u9722, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4686, plain, ( hBOOL(hAPP(_u9725, skolem248(_u9725))) | ( hAPP(c_Set_OCollect(_u9723), _u9725) = c_Orderings_Obot__class_Obot(tc_fun(_u9723, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4687, plain, ( ( hAPP(c_Set_OCollect(_u9726), _u9727) = _u9727) )).
% 12.21/12.46 cnf(matrix-4688, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9728, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9728), hAPP(c_COMBK(tc_HOL_Obool, _u9728), c_fTrue))) )).
% 12.21/12.46 cnf(matrix-4689, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9729), _u9730), hAPP(c_Set_OCollect(_u9729), _u9731)) = hAPP(c_Set_OCollect(_u9729), hAPP(hAPP(c_COMBS(_u9729, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9729), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9729), c_fNot), hAPP(hAPP(c_COMBC(_u9729, _u9729, tc_HOL_Obool), c_fequal), _u9730)))), _u9731))) )).
% 12.21/12.46 cnf(matrix-4690, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), hAPP(c_Set_OCollect(_u9735), hAPP(hAPP(c_COMBS(_u9735, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9735), c_fdisj), _u9737)), _u9739)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), hAPP(c_Set_OCollect(_u9735), _u9737))) )).
% 12.21/12.46 cnf(matrix-4691, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), hAPP(c_Set_OCollect(_u9735), hAPP(hAPP(c_COMBS(_u9735, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9735), c_fdisj), _u9737)), _u9739)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), hAPP(c_Set_OCollect(_u9735), _u9739))) )).
% 12.21/12.46 cnf(matrix-4692, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9736), hAPP(c_Set_OCollect(_u9736), _u9738))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9736), hAPP(c_Set_OCollect(_u9736), _u9740))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9736), hAPP(c_Set_OCollect(_u9736), hAPP(hAPP(c_COMBS(_u9736, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9736), c_fdisj), _u9738)), _u9740)))) )).
% 12.21/12.46 cnf(matrix-4693, plain, ( ( hAPP(c_Set_OCollect(_u9741), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9741), c_fNot), _u9742)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9741, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9741), _u9742))) )).
% 12.21/12.46 cnf(matrix-4694, plain, ( ( hAPP(c_Set_Ovimage(_u9743, _u9744, _u9745), hAPP(c_Set_OCollect(_u9744), _u9746)) = hAPP(c_Set_OCollect(_u9743), hAPP(hAPP(c_COMBB(_u9744, tc_HOL_Obool, _u9743), _u9746), _u9745))) )).
% 12.21/12.46 cnf(matrix-4695, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9747), _u9748), _u9749) = hAPP(c_Set_OCollect(_u9747), hAPP(hAPP(c_COMBS(_u9747, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9747), c_fdisj), hAPP(hAPP(c_COMBC(_u9747, _u9747, tc_HOL_Obool), c_fequal), _u9748))), hAPP(hAPP(c_COMBC(_u9747, tc_fun(_u9747, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9747)), _u9749)))) )).
% 12.21/12.46 cnf(matrix-4696, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9750), _u9751), _u9752) = hAPP(c_Set_OCollect(_u9750), hAPP(hAPP(c_COMBS(_u9750, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9750), c_fdisj), hAPP(hAPP(c_COMBC(_u9750, _u9750, tc_HOL_Obool), c_fequal), _u9751))), hAPP(hAPP(c_COMBC(_u9750, tc_fun(_u9750, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9750)), _u9752)))) )).
% 12.21/12.46 cnf(matrix-4697, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9753, tc_HOL_Obool)), _u9754), _u9755) = hAPP(c_Set_OCollect(_u9753), hAPP(hAPP(c_COMBS(_u9753, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9753), c_fdisj), hAPP(hAPP(c_COMBC(_u9753, tc_fun(_u9753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9753)), _u9754))), hAPP(hAPP(c_COMBC(_u9753, tc_fun(_u9753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9753)), _u9755)))) )).
% 12.21/12.46 cnf(matrix-4698, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9756, tc_HOL_Obool)), _u9757), _u9758) = hAPP(c_Set_OCollect(_u9756), hAPP(hAPP(c_COMBS(_u9756, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9756), c_fconj), hAPP(hAPP(c_COMBC(_u9756, tc_fun(_u9756, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9756)), _u9757))), hAPP(hAPP(c_COMBC(_u9756, tc_fun(_u9756, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9756)), _u9758)))) )).
% 12.21/12.46 cnf(matrix-4699, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9763), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9763, tc_HOL_Obool)), _u9767), hAPP(c_Set_OCollect(_u9763), _u9769)))) | hBOOL(hAPP(hAPP(c_member(_u9763), _u9765), _u9767)) )).
% 12.21/12.46 cnf(matrix-4700, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9763), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9763, tc_HOL_Obool)), _u9767), hAPP(c_Set_OCollect(_u9763), _u9769)))) | hBOOL(hAPP(_u9769, _u9765)) )).
% 12.21/12.46 cnf(matrix-4701, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9764), _u9766), _u9768)) | ~hBOOL(hAPP(_u9770, _u9766)) | hBOOL(hAPP(hAPP(c_member(_u9764), _u9766), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9764, tc_HOL_Obool)), _u9768), hAPP(c_Set_OCollect(_u9764), _u9770)))) )).
% 12.21/12.46 cnf(matrix-4702, plain, ( ( hAPP(c_Set_OCollect(_u9771), hAPP(c_fequal, _u9772)) = hAPP(hAPP(c_Set_Oinsert(_u9771), _u9772), c_Orderings_Obot__class_Obot(tc_fun(_u9771, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4703, plain, ( ( hAPP(c_Set_OCollect(_u9773), hAPP(hAPP(c_COMBC(_u9773, _u9773, tc_HOL_Obool), c_fequal), _u9774)) = hAPP(hAPP(c_Set_Oinsert(_u9773), _u9774), c_Orderings_Obot__class_Obot(tc_fun(_u9773, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4704, plain, ( ~hBOOL(hAPP(_u9778, _u9780)) | ( hAPP(c_Set_OCollect(_u9782), hAPP(hAPP(c_COMBS(_u9782, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9782), c_fconj), hAPP(c_fequal, _u9780))), _u9778)) = hAPP(hAPP(c_Set_Oinsert(_u9782), _u9780), c_Orderings_Obot__class_Obot(tc_fun(_u9782, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4705, plain, ( hBOOL(hAPP(_u9779, _u9781)) | ( hAPP(c_Set_OCollect(_u9783), hAPP(hAPP(c_COMBS(_u9783, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9783), c_fconj), hAPP(c_fequal, _u9781))), _u9779)) = c_Orderings_Obot__class_Obot(tc_fun(_u9783, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4706, plain, ( ~hBOOL(hAPP(_u9787, _u9789)) | ( hAPP(c_Set_OCollect(_u9791), hAPP(hAPP(c_COMBS(_u9791, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9791), c_fconj), hAPP(hAPP(c_COMBC(_u9791, _u9791, tc_HOL_Obool), c_fequal), _u9789))), _u9787)) = hAPP(hAPP(c_Set_Oinsert(_u9791), _u9789), c_Orderings_Obot__class_Obot(tc_fun(_u9791, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4707, plain, ( hBOOL(hAPP(_u9788, _u9790)) | ( hAPP(c_Set_OCollect(_u9792), hAPP(hAPP(c_COMBS(_u9792, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9792), c_fconj), hAPP(hAPP(c_COMBC(_u9792, _u9792, tc_HOL_Obool), c_fequal), _u9790))), _u9788)) = c_Orderings_Obot__class_Obot(tc_fun(_u9792, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4708, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9793, tc_HOL_Obool)), _u9794), _u9795) = hAPP(c_Set_OCollect(_u9793), hAPP(hAPP(c_COMBS(_u9793, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9793), c_fconj), hAPP(hAPP(c_COMBC(_u9793, tc_fun(_u9793, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9793)), _u9794))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9793), c_fNot), hAPP(hAPP(c_COMBC(_u9793, tc_fun(_u9793, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9793)), _u9795))))) )).
% 12.21/12.46 cnf(matrix-4709, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), hAPP(c_Set_OCollect(_u9796), _u9797))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), hAPP(c_Set_OCollect(_u9796), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9796), c_fNot), _u9797)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), c_Orderings_Otop__class_Otop(tc_fun(_u9796, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4710, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), hAPP(c_Set_OCollect(_u9796), _u9797))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), c_Orderings_Otop__class_Otop(tc_fun(_u9796, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9796), hAPP(c_Set_OCollect(_u9796), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9796), c_fNot), _u9797)))) )).
% 12.21/12.46 cnf(matrix-4711, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9798), _u9799), _u9800) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9798, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9798), hAPP(hAPP(c_COMBC(_u9798, _u9798, tc_HOL_Obool), c_fequal), _u9799))), _u9800)) )).
% 12.21/12.46 cnf(matrix-4712, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9801, tc_HOL_Obool)), _u9802) = hAPP(c_Set_OCollect(_u9801), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9801), c_fNot), hAPP(hAPP(c_COMBC(_u9801, tc_fun(_u9801, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9801)), _u9802)))) )).
% 12.21/12.46 cnf(matrix-4713, plain, ( ( hAPP(c_Set_Ovimage(_u9803, _u9804, _u9805), _u9806) = hAPP(c_Set_OCollect(_u9803), hAPP(hAPP(c_COMBC(_u9803, tc_fun(_u9804, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u9804, tc_fun(tc_fun(_u9804, tc_HOL_Obool), tc_HOL_Obool), _u9803), c_member(_u9804)), _u9805)), _u9806))) )).
% 12.21/12.46 cnf(matrix-4714, plain, ( ( hAPP(c_Set_OCollect(_u9807), hAPP(hAPP(c_COMBS(_u9807, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9807), c_fimplies), _u9808)), _u9809)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9807, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9807, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9807), _u9808))), hAPP(c_Set_OCollect(_u9807), _u9809))) )).
% 12.21/12.46 cnf(matrix-4715, 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), _u9810)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u9811))))) )).
% 12.21/12.46 cnf(matrix-4716, plain, ( ~class_Groups_Ocomm__monoid__add(_u9812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9813), _u9814)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9815), _u9816)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9813, _u9812), hAPP(hAPP(c_COMBS(_u9813, tc_fun(_u9815, tc_HOL_Obool), _u9812), hAPP(hAPP(c_COMBB(tc_fun(_u9815, _u9812), tc_fun(tc_fun(_u9815, tc_HOL_Obool), _u9812), _u9813), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9815, _u9812)), _u9817)), hAPP(hAPP(c_COMBB(tc_fun(_u9815, tc_HOL_Obool), tc_fun(_u9815, tc_HOL_Obool), _u9813), c_Set_OCollect(_u9815)), hAPP(hAPP(c_COMBB(tc_fun(_u9815, tc_HOL_Obool), tc_fun(_u9815, tc_HOL_Obool), _u9813), hAPP(c_COMBS(_u9815, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9815), c_fconj), hAPP(hAPP(c_COMBC(_u9815, tc_fun(_u9815, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9815)), _u9816)))), _u9818)))), _u9814) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9815, _u9812), hAPP(hAPP(c_COMBS(_u9815, tc_fun(_u9813, tc_HOL_Obool), _u9812), hAPP(hAPP(c_COMBB(tc_fun(_u9813, _u9812), tc_fun(tc_fun(_u9813, tc_HOL_Obool), _u9812), _u9815), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9813, _u9812)), hAPP(c_COMBC(_u9813, _u9815, _u9812), _u9817))), hAPP(hAPP(c_COMBB(tc_fun(_u9813, tc_HOL_Obool), tc_fun(_u9813, tc_HOL_Obool), _u9815), c_Set_OCollect(_u9813)), hAPP(hAPP(c_COMBB(tc_fun(_u9813, tc_HOL_Obool), tc_fun(_u9813, tc_HOL_Obool), _u9815), hAPP(c_COMBS(_u9813, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9813), c_fconj), hAPP(hAPP(c_COMBC(_u9813, tc_fun(_u9813, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9813)), _u9814)))), hAPP(c_COMBC(_u9813, _u9815, tc_HOL_Obool), _u9818))))), _u9816)) )).
% 12.21/12.46 cnf(matrix-4717, plain, ( ( hAPP(c_Set_Oimage(_u9819, _u9820, hAPP(hAPP(c_COMBS(_u9819, _u9820, _u9820), hAPP(hAPP(c_COMBS(_u9819, _u9820, tc_fun(_u9820, _u9820)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9820, tc_fun(_u9820, _u9820)), _u9819), c_If(_u9820)), _u9821)), _u9822)), _u9823)), _u9824) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9820, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9819, _u9820, _u9822), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9819, tc_HOL_Obool)), _u9824), hAPP(c_Set_OCollect(_u9819), _u9821)))), hAPP(c_Set_Oimage(_u9819, _u9820, _u9823), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9819, tc_HOL_Obool)), _u9824), hAPP(c_Set_OCollect(_u9819), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9819), c_fNot), _u9821)))))) )).
% 12.21/12.46 cnf(matrix-4718, plain, ( ( _u9825 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u9826, _u9827), 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)), _u9828)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9826), _u9825)) )).
% 12.21/12.46 cnf(matrix-4719, plain, ( ~class_Groups_Ocomm__monoid__add(_u9829) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9830), _u9831)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9830, _u9829), _u9832), hAPP(c_Set_OCollect(_u9830), hAPP(hAPP(c_COMBS(_u9830, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9830), c_fconj), hAPP(hAPP(c_COMBC(_u9830, tc_fun(_u9830, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9830)), _u9831))), hAPP(hAPP(c_COMBC(_u9830, tc_fun(_u9830, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9830)), _u9833)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9830, _u9829), hAPP(hAPP(c_COMBC(_u9830, _u9829, _u9829), hAPP(hAPP(c_COMBS(_u9830, _u9829, tc_fun(_u9829, _u9829)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9829, tc_fun(_u9829, _u9829)), _u9830), c_If(_u9829)), hAPP(hAPP(c_COMBC(_u9830, tc_fun(_u9830, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9830)), _u9833))), _u9832)), c_Groups_Ozero__class_Ozero(_u9829))), _u9831)) )).
% 12.21/12.46 cnf(matrix-4720, plain, ( ~class_Groups_Ocomm__monoid__add(_u9834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9835), _u9836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9835, _u9834), _u9837), _u9836) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9838, _u9834), hAPP(hAPP(c_COMBB(tc_fun(_u9835, tc_HOL_Obool), _u9834, _u9838), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9835, _u9834), _u9837)), hAPP(hAPP(c_COMBB(tc_fun(_u9835, tc_HOL_Obool), tc_fun(_u9835, tc_HOL_Obool), _u9838), c_Set_OCollect(_u9835)), hAPP(hAPP(c_COMBB(tc_fun(_u9835, tc_HOL_Obool), tc_fun(_u9835, tc_HOL_Obool), _u9838), hAPP(c_COMBS(_u9835, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9835), c_fconj), hAPP(hAPP(c_COMBC(_u9835, tc_fun(_u9835, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9835)), _u9836)))), hAPP(c_COMBC(_u9835, _u9838, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u9838, tc_fun(_u9838, tc_HOL_Obool), _u9835), c_fequal), _u9839)))))), hAPP(c_Set_Oimage(_u9835, _u9838, _u9839), _u9836))) )).
% 12.21/12.46 cnf(matrix-4721, plain, ( ~class_Groups_Ocomm__monoid__add(_u9840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9841), _u9842)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9841, _u9840), hAPP(hAPP(c_COMBS(_u9841, _u9840, _u9840), hAPP(hAPP(c_COMBS(_u9841, _u9840, tc_fun(_u9840, _u9840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9840, tc_fun(_u9840, _u9840)), _u9841), c_If(_u9840)), _u9843)), _u9844)), _u9845)), _u9842) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9840), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9841, _u9840), _u9844), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9841, tc_HOL_Obool)), _u9842), hAPP(c_Set_OCollect(_u9841), _u9843)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9841, _u9840), _u9845), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9841, tc_HOL_Obool)), _u9842), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9841, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9841), _u9843)))))) )).
% 12.21/12.46 cnf(matrix-4722, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9847), _u9848)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9849), _u9850)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9847, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_Nat_Onat, _u9847), c_Finite__Set_Ocard(_u9849)), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_fun(_u9849, tc_HOL_Obool), _u9847), c_Set_OCollect(_u9849)), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_fun(_u9849, tc_HOL_Obool), _u9847), hAPP(c_COMBS(_u9849, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9849), c_fconj), hAPP(hAPP(c_COMBC(_u9849, tc_fun(_u9849, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9849)), _u9850)))), _u9851)))), _u9848) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9852), hAPP(c_Finite__Set_Ocard(_u9849), _u9850))) | hBOOL(hAPP(hAPP(c_member(_u9849), skolem249(_u9852, _u9851, _u9850, _u9849, _u9848, _u9847)), _u9850)) )).
% 12.21/12.46 cnf(matrix-4723, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9847), _u9848)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9849), _u9850)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9847, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_Nat_Onat, _u9847), c_Finite__Set_Ocard(_u9849)), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_fun(_u9849, tc_HOL_Obool), _u9847), c_Set_OCollect(_u9849)), hAPP(hAPP(c_COMBB(tc_fun(_u9849, tc_HOL_Obool), tc_fun(_u9849, tc_HOL_Obool), _u9847), hAPP(c_COMBS(_u9849, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9849), c_fconj), hAPP(hAPP(c_COMBC(_u9849, tc_fun(_u9849, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9849)), _u9850)))), _u9851)))), _u9848) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9852), hAPP(c_Finite__Set_Ocard(_u9849), _u9850))) | ( hAPP(c_Finite__Set_Ocard(_u9847), hAPP(c_Set_OCollect(_u9847), hAPP(hAPP(c_COMBS(_u9847, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9847), c_fconj), hAPP(hAPP(c_COMBC(_u9847, tc_fun(_u9847, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9847)), _u9848))), hAPP(hAPP(c_COMBC(_u9847, _u9849, tc_HOL_Obool), _u9851), skolem249(_u9852, _u9851, _u9850, _u9849, _u9848, _u9847))))) != _u9852) )).
% 12.21/12.46 cnf(matrix-4724, plain, ( ~class_Orderings_Olinorder(_u9853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9853), _u9854)) | ( _u9854 = c_Orderings_Obot__class_Obot(tc_fun(_u9853, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9853), _u9855), c_Big__Operators_Olattice_OInf__fin(_u9853, c_Orderings_Oord__class_Omin(_u9853), _u9854)) = c_Big__Operators_Olattice_OInf__fin(_u9853, c_Orderings_Oord__class_Omin(_u9853), hAPP(c_Set_OCollect(_u9853), hAPP(hAPP(c_COMBB(tc_fun(_u9853, tc_HOL_Obool), tc_HOL_Obool, _u9853), c_HOL_OEx(_u9853)), hAPP(hAPP(c_COMBC(_u9853, tc_fun(_u9853, tc_HOL_Obool), tc_fun(_u9853, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9853, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9853, tc_HOL_Obool), tc_fun(_u9853, tc_HOL_Obool)), _u9853), c_COMBS(_u9853, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9853, tc_HOL_Obool), tc_fun(_u9853, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9853), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9853), c_fconj)), hAPP(hAPP(c_COMBC(_u9853, tc_fun(_u9853, _u9853), tc_fun(_u9853, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9853, tc_HOL_Obool), tc_fun(tc_fun(_u9853, _u9853), tc_fun(_u9853, tc_HOL_Obool)), _u9853), c_COMBB(_u9853, tc_HOL_Obool, _u9853)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u9853), _u9855))))), hAPP(hAPP(c_COMBC(_u9853, tc_fun(_u9853, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9853)), _u9854)))))) )).
% 12.21/12.46 cnf(matrix-4725, plain, ( ~class_Orderings_Olinorder(_u9856) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9856), _u9857)) | ( _u9857 = c_Orderings_Obot__class_Obot(tc_fun(_u9856, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9856), _u9858), c_Big__Operators_Olattice_OSup__fin(_u9856, c_Orderings_Oord__class_Omax(_u9856), _u9857)) = c_Big__Operators_Olattice_OSup__fin(_u9856, c_Orderings_Oord__class_Omax(_u9856), hAPP(c_Set_OCollect(_u9856), hAPP(hAPP(c_COMBB(tc_fun(_u9856, tc_HOL_Obool), tc_HOL_Obool, _u9856), c_HOL_OEx(_u9856)), hAPP(hAPP(c_COMBC(_u9856, tc_fun(_u9856, tc_HOL_Obool), tc_fun(_u9856, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9856, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9856, tc_HOL_Obool), tc_fun(_u9856, tc_HOL_Obool)), _u9856), c_COMBS(_u9856, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9856, tc_HOL_Obool), tc_fun(_u9856, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9856), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9856), c_fconj)), hAPP(hAPP(c_COMBC(_u9856, tc_fun(_u9856, _u9856), tc_fun(_u9856, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9856, tc_HOL_Obool), tc_fun(tc_fun(_u9856, _u9856), tc_fun(_u9856, tc_HOL_Obool)), _u9856), c_COMBB(_u9856, tc_HOL_Obool, _u9856)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u9856), _u9858))))), hAPP(hAPP(c_COMBC(_u9856, tc_fun(_u9856, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9856)), _u9857)))))) )).
% 12.21/12.46 cnf(matrix-4726, plain, ( ~class_Orderings_Olinorder(_u9859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9859), _u9860)) | ( _u9860 = c_Orderings_Obot__class_Obot(tc_fun(_u9859, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9859), _u9861)) | ( _u9861 = c_Orderings_Obot__class_Obot(tc_fun(_u9859, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9859), c_Big__Operators_Olattice_OInf__fin(_u9859, c_Orderings_Oord__class_Omin(_u9859), _u9860)), c_Big__Operators_Olattice_OInf__fin(_u9859, c_Orderings_Oord__class_Omin(_u9859), _u9861)) = c_Big__Operators_Olattice_OInf__fin(_u9859, c_Orderings_Oord__class_Omin(_u9859), hAPP(c_Set_OCollect(_u9859), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_HOL_Obool), tc_HOL_Obool, _u9859), c_HOL_OEx(_u9859)), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool)), tc_fun(_u9859, tc_HOL_Obool), _u9859), hAPP(c_COMBB(tc_fun(_u9859, tc_HOL_Obool), tc_HOL_Obool, _u9859), c_HOL_OEx(_u9859))), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool)), tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_fun(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool))), tc_fun(tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool)), tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool))), _u9859), c_COMBS(_u9859, tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_fun(_u9859, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9859, tc_fun(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool))), _u9859), hAPP(c_COMBB(tc_fun(_u9859, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool)), _u9859), c_COMBS(_u9859, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool)), tc_fun(_u9859, tc_fun(_u9859, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9859), hAPP(c_COMBB(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9859), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9859), c_fconj))), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_fun(_u9859, _u9859)), tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9859, _u9859), tc_fun(_u9859, tc_HOL_Obool)), tc_fun(tc_fun(_u9859, tc_fun(_u9859, _u9859)), tc_fun(_u9859, tc_fun(_u9859, tc_HOL_Obool))), _u9859), c_COMBB(tc_fun(_u9859, _u9859), tc_fun(_u9859, tc_HOL_Obool), _u9859)), hAPP(hAPP(c_COMBB(tc_fun(_u9859, tc_HOL_Obool), tc_fun(tc_fun(_u9859, _u9859), tc_fun(_u9859, tc_HOL_Obool)), _u9859), c_COMBB(_u9859, tc_HOL_Obool, _u9859)), c_fequal))), c_Orderings_Oord__class_Omax(_u9859)))))), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9859, tc_HOL_Obool), tc_fun(_u9859, tc_HOL_Obool)), _u9859), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9859)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9859), c_fconj), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9859)), _u9860)))), hAPP(hAPP(c_COMBC(_u9859, tc_fun(_u9859, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9859)), _u9861)))))))) )).
% 12.21/12.46 cnf(matrix-4727, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9862), _u9863)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u9862, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u9862, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u9862, tc_HOL_Obool), tc_fun(_u9862, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u9862, tc_HOL_Obool))), _u9863)))) )).
% 12.21/12.46 cnf(matrix-4728, plain, ( ( hAPP(c_Set_OPow(_u9864), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9864, tc_HOL_Obool)), _u9865)) = hAPP(c_Set_OCollect(tc_fun(_u9864, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u9864, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u9864, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u9864, tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u9864, tc_HOL_Obool)), c_COMBS(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u9864, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u9864, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u9864, tc_HOL_Obool), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_fun(_u9864, tc_HOL_Obool)), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_fun(_u9864, tc_HOL_Obool)), tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u9864, tc_HOL_Obool)), c_COMBB(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u9864, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9864, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9864, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u9864, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u9864, tc_HOL_Obool)), _u9865)), c_Set_OPow(_u9864)))))) )).
% 12.21/12.46 cnf(matrix-4729, plain, ( ( hAPP(c_Set_OPow(_u9866), _u9867) = hAPP(c_Set_OCollect(tc_fun(_u9866, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u9866, tc_HOL_Obool), tc_fun(_u9866, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u9866, tc_HOL_Obool))), _u9867))) )).
% 12.21/12.46 cnf(matrix-4730, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9868), hAPP(c_Set_OCollect(_u9868), _u9869))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9870), hAPP(c_Set_OCollect(_u9870), hAPP(hAPP(c_COMBB(tc_fun(_u9868, tc_HOL_Obool), tc_HOL_Obool, _u9870), c_HOL_OEx(_u9868)), hAPP(hAPP(c_COMBC(_u9870, tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9868, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9868, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9868, tc_HOL_Obool)), _u9870), c_COMBS(_u9868, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9868, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9870), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9868), c_fconj)), hAPP(hAPP(c_COMBC(_u9870, tc_fun(_u9868, _u9870), tc_fun(_u9868, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9870, tc_HOL_Obool), tc_fun(tc_fun(_u9868, _u9870), tc_fun(_u9868, tc_HOL_Obool)), _u9870), c_COMBB(_u9870, tc_HOL_Obool, _u9868)), c_fequal)), _u9871)))), _u9869))))) )).
% 12.21/12.46 cnf(matrix-4731, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9874), hAPP(c_Set_OCollect(_u9874), _u9875))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_HOL_Obool, _u9876), c_HOL_OEx(_u9874)), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_fun(_u9874, tc_HOL_Obool), _u9876), hAPP(c_COMBS(_u9874, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9874), c_fconj), _u9875))), _u9877))))) | ~hBOOL(hAPP(_u9875, _u9872)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBC(_u9876, _u9874, tc_HOL_Obool), _u9877), _u9872)))) )).
% 12.21/12.46 cnf(matrix-4732, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9874), hAPP(c_Set_OCollect(_u9874), _u9875))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_HOL_Obool, _u9876), c_HOL_OEx(_u9874)), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_fun(_u9874, tc_HOL_Obool), _u9876), hAPP(c_COMBS(_u9874, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9874), c_fconj), _u9875))), _u9877))))) | hBOOL(hAPP(_u9875, skolem250(_u9877, _u9876, _u9875, _u9874))) )).
% 12.21/12.46 cnf(matrix-4733, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9874), hAPP(c_Set_OCollect(_u9874), _u9875))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_HOL_Obool, _u9876), c_HOL_OEx(_u9874)), hAPP(hAPP(c_COMBB(tc_fun(_u9874, tc_HOL_Obool), tc_fun(_u9874, tc_HOL_Obool), _u9876), hAPP(c_COMBS(_u9874, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9874), c_fconj), _u9875))), _u9877))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), hAPP(c_Set_OCollect(_u9876), hAPP(hAPP(c_COMBC(_u9876, _u9874, tc_HOL_Obool), _u9877), skolem250(_u9877, _u9876, _u9875, _u9874))))) )).
% 12.21/12.46 cnf(matrix-4734, 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)))), _u9878))) )).
% 12.21/12.46 cnf(matrix-4735, 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)))), _u9879)) = 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), _u9879), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.21/12.46 cnf(matrix-4736, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u9880) = 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), _u9880), c_Int_Onat))))) )).
% 12.21/12.46 cnf(matrix-4737, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u9881) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9881), _u9882)) | ( _u9882 = c_Orderings_Obot__class_Obot(tc_fun(_u9881, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9881), _u9883), c_Big__Operators_Olinorder__class_OMin(_u9881, _u9882)) = c_Big__Operators_Olinorder__class_OMin(_u9881, hAPP(c_Set_OCollect(_u9881), hAPP(hAPP(c_COMBB(tc_fun(_u9881, tc_HOL_Obool), tc_HOL_Obool, _u9881), c_HOL_OEx(_u9881)), hAPP(hAPP(c_COMBC(_u9881, tc_fun(_u9881, tc_HOL_Obool), tc_fun(_u9881, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9881, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9881, tc_HOL_Obool), tc_fun(_u9881, tc_HOL_Obool)), _u9881), c_COMBS(_u9881, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9881, tc_HOL_Obool), tc_fun(_u9881, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9881), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9881), c_fconj)), hAPP(hAPP(c_COMBC(_u9881, tc_fun(_u9881, _u9881), tc_fun(_u9881, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9881, tc_HOL_Obool), tc_fun(tc_fun(_u9881, _u9881), tc_fun(_u9881, tc_HOL_Obool)), _u9881), c_COMBB(_u9881, tc_HOL_Obool, _u9881)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u9881), _u9883))))), hAPP(hAPP(c_COMBC(_u9881, tc_fun(_u9881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9881)), _u9882)))))) )).
% 12.21/12.46 cnf(matrix-4738, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u9884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9884), _u9885)) | ( _u9885 = c_Orderings_Obot__class_Obot(tc_fun(_u9884, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9884), _u9886), c_Big__Operators_Olinorder__class_OMax(_u9884, _u9885)) = c_Big__Operators_Olinorder__class_OMax(_u9884, hAPP(c_Set_OCollect(_u9884), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_HOL_Obool), tc_HOL_Obool, _u9884), c_HOL_OEx(_u9884)), hAPP(hAPP(c_COMBC(_u9884, tc_fun(_u9884, tc_HOL_Obool), tc_fun(_u9884, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9884, tc_HOL_Obool), tc_fun(_u9884, tc_HOL_Obool)), _u9884), c_COMBS(_u9884, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_HOL_Obool), tc_fun(_u9884, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9884), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9884), c_fconj)), hAPP(hAPP(c_COMBC(_u9884, tc_fun(_u9884, _u9884), tc_fun(_u9884, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_HOL_Obool), tc_fun(tc_fun(_u9884, _u9884), tc_fun(_u9884, tc_HOL_Obool)), _u9884), c_COMBB(_u9884, tc_HOL_Obool, _u9884)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u9884), _u9886))))), hAPP(hAPP(c_COMBC(_u9884, tc_fun(_u9884, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9884)), _u9885)))))) )).
% 12.21/12.46 cnf(matrix-4739, plain, ( ~class_Lattices_Odistrib__lattice(_u9887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9887), _u9888)) | ( _u9888 = c_Orderings_Obot__class_Obot(tc_fun(_u9887, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9887), _u9889)) | ( _u9889 = c_Orderings_Obot__class_Obot(tc_fun(_u9887, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9887), c_Big__Operators_Olattice__class_OInf__fin(_u9887, _u9888)), c_Big__Operators_Olattice__class_OInf__fin(_u9887, _u9889)) = c_Big__Operators_Olattice__class_OInf__fin(_u9887, hAPP(c_Set_OCollect(_u9887), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_HOL_Obool), tc_HOL_Obool, _u9887), c_HOL_OEx(_u9887)), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool)), tc_fun(_u9887, tc_HOL_Obool), _u9887), hAPP(c_COMBB(tc_fun(_u9887, tc_HOL_Obool), tc_HOL_Obool, _u9887), c_HOL_OEx(_u9887))), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool)), tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_fun(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool))), tc_fun(tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool)), tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool))), _u9887), c_COMBS(_u9887, tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_fun(_u9887, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9887, tc_fun(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool))), _u9887), hAPP(c_COMBB(tc_fun(_u9887, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool)), _u9887), c_COMBS(_u9887, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool)), tc_fun(_u9887, tc_fun(_u9887, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9887), hAPP(c_COMBB(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9887), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9887), c_fconj))), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_fun(_u9887, _u9887)), tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9887, _u9887), tc_fun(_u9887, tc_HOL_Obool)), tc_fun(tc_fun(_u9887, tc_fun(_u9887, _u9887)), tc_fun(_u9887, tc_fun(_u9887, tc_HOL_Obool))), _u9887), c_COMBB(tc_fun(_u9887, _u9887), tc_fun(_u9887, tc_HOL_Obool), _u9887)), hAPP(hAPP(c_COMBB(tc_fun(_u9887, tc_HOL_Obool), tc_fun(tc_fun(_u9887, _u9887), tc_fun(_u9887, tc_HOL_Obool)), _u9887), c_COMBB(_u9887, tc_HOL_Obool, _u9887)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u9887)))))), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9887, tc_HOL_Obool), tc_fun(_u9887, tc_HOL_Obool)), _u9887), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9887)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9887), c_fconj), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9887)), _u9888)))), hAPP(hAPP(c_COMBC(_u9887, tc_fun(_u9887, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9887)), _u9889)))))))) )).
% 12.21/12.46 cnf(matrix-4740, plain, ( ~class_Lattices_Odistrib__lattice(_u9890) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9890), _u9891)) | ( _u9891 = c_Orderings_Obot__class_Obot(tc_fun(_u9890, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9890), _u9892), c_Big__Operators_Olattice__class_OInf__fin(_u9890, _u9891)) = c_Big__Operators_Olattice__class_OInf__fin(_u9890, hAPP(c_Set_OCollect(_u9890), hAPP(hAPP(c_COMBB(tc_fun(_u9890, tc_HOL_Obool), tc_HOL_Obool, _u9890), c_HOL_OEx(_u9890)), hAPP(hAPP(c_COMBC(_u9890, tc_fun(_u9890, tc_HOL_Obool), tc_fun(_u9890, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9890, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9890, tc_HOL_Obool), tc_fun(_u9890, tc_HOL_Obool)), _u9890), c_COMBS(_u9890, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9890, tc_HOL_Obool), tc_fun(_u9890, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9890), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9890), c_fconj)), hAPP(hAPP(c_COMBC(_u9890, tc_fun(_u9890, _u9890), tc_fun(_u9890, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9890, tc_HOL_Obool), tc_fun(tc_fun(_u9890, _u9890), tc_fun(_u9890, tc_HOL_Obool)), _u9890), c_COMBB(_u9890, tc_HOL_Obool, _u9890)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9890), _u9892))))), hAPP(hAPP(c_COMBC(_u9890, tc_fun(_u9890, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9890)), _u9891)))))) )).
% 12.21/12.46 cnf(matrix-4741, plain, ( ~class_Lattices_Odistrib__lattice(_u9893) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9893), _u9894)) | ( _u9894 = c_Orderings_Obot__class_Obot(tc_fun(_u9893, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9893), _u9895)) | ( _u9895 = c_Orderings_Obot__class_Obot(tc_fun(_u9893, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9893), c_Big__Operators_Olattice__class_OSup__fin(_u9893, _u9894)), c_Big__Operators_Olattice__class_OSup__fin(_u9893, _u9895)) = c_Big__Operators_Olattice__class_OSup__fin(_u9893, hAPP(c_Set_OCollect(_u9893), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_HOL_Obool, _u9893), c_HOL_OEx(_u9893)), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool)), tc_fun(_u9893, tc_HOL_Obool), _u9893), hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_HOL_Obool, _u9893), c_HOL_OEx(_u9893))), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool)), tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_fun(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool))), tc_fun(tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool)), tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool))), _u9893), c_COMBS(_u9893, tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_fun(_u9893, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9893, tc_fun(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool))), _u9893), hAPP(c_COMBB(tc_fun(_u9893, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool)), _u9893), c_COMBS(_u9893, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool)), tc_fun(_u9893, tc_fun(_u9893, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9893), hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9893), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9893), c_fconj))), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_fun(_u9893, _u9893)), tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9893, _u9893), tc_fun(_u9893, tc_HOL_Obool)), tc_fun(tc_fun(_u9893, tc_fun(_u9893, _u9893)), tc_fun(_u9893, tc_fun(_u9893, tc_HOL_Obool))), _u9893), c_COMBB(tc_fun(_u9893, _u9893), tc_fun(_u9893, tc_HOL_Obool), _u9893)), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_fun(tc_fun(_u9893, _u9893), tc_fun(_u9893, tc_HOL_Obool)), _u9893), c_COMBB(_u9893, tc_HOL_Obool, _u9893)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u9893)))))), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9893, tc_HOL_Obool)), _u9893), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9893)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9893), c_fconj), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9893)), _u9894)))), hAPP(hAPP(c_COMBC(_u9893, tc_fun(_u9893, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9893)), _u9895)))))))) )).
% 12.21/12.46 cnf(matrix-4742, plain, ( ~class_Lattices_Odistrib__lattice(_u9896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9896), _u9897)) | ( _u9897 = c_Orderings_Obot__class_Obot(tc_fun(_u9896, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9896), _u9898), c_Big__Operators_Olattice__class_OSup__fin(_u9896, _u9897)) = c_Big__Operators_Olattice__class_OSup__fin(_u9896, hAPP(c_Set_OCollect(_u9896), hAPP(hAPP(c_COMBB(tc_fun(_u9896, tc_HOL_Obool), tc_HOL_Obool, _u9896), c_HOL_OEx(_u9896)), hAPP(hAPP(c_COMBC(_u9896, tc_fun(_u9896, tc_HOL_Obool), tc_fun(_u9896, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9896, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9896, tc_HOL_Obool), tc_fun(_u9896, tc_HOL_Obool)), _u9896), c_COMBS(_u9896, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9896, tc_HOL_Obool), tc_fun(_u9896, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9896), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9896), c_fconj)), hAPP(hAPP(c_COMBC(_u9896, tc_fun(_u9896, _u9896), tc_fun(_u9896, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9896, tc_HOL_Obool), tc_fun(tc_fun(_u9896, _u9896), tc_fun(_u9896, tc_HOL_Obool)), _u9896), c_COMBB(_u9896, tc_HOL_Obool, _u9896)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9896), _u9898))))), hAPP(hAPP(c_COMBC(_u9896, tc_fun(_u9896, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9896)), _u9897)))))) )).
% 12.21/12.46 cnf(matrix-4743, plain, ( ~class_Orderings_Olinorder(_u9899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9899), _u9900)) | ( _u9900 = c_Orderings_Obot__class_Obot(tc_fun(_u9899, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9899), _u9901)) | ( _u9901 = c_Orderings_Obot__class_Obot(tc_fun(_u9899, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9899), c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), _u9900)), c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), _u9901)) = c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), hAPP(c_Set_OCollect(_u9899), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_HOL_Obool), tc_HOL_Obool, _u9899), c_HOL_OEx(_u9899)), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool)), tc_fun(_u9899, tc_HOL_Obool), _u9899), hAPP(c_COMBB(tc_fun(_u9899, tc_HOL_Obool), tc_HOL_Obool, _u9899), c_HOL_OEx(_u9899))), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool)), tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool))), tc_fun(tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool)), tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool))), _u9899), c_COMBS(_u9899, tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(_u9899, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9899, tc_fun(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool))), _u9899), hAPP(c_COMBB(tc_fun(_u9899, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), _u9899), c_COMBS(_u9899, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool)), tc_fun(_u9899, tc_fun(_u9899, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9899), hAPP(c_COMBB(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9899), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9899), c_fconj))), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_fun(_u9899, _u9899)), tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9899, _u9899), tc_fun(_u9899, tc_HOL_Obool)), tc_fun(tc_fun(_u9899, tc_fun(_u9899, _u9899)), tc_fun(_u9899, tc_fun(_u9899, tc_HOL_Obool))), _u9899), c_COMBB(tc_fun(_u9899, _u9899), tc_fun(_u9899, tc_HOL_Obool), _u9899)), hAPP(hAPP(c_COMBB(tc_fun(_u9899, tc_HOL_Obool), tc_fun(tc_fun(_u9899, _u9899), tc_fun(_u9899, tc_HOL_Obool)), _u9899), c_COMBB(_u9899, tc_HOL_Obool, _u9899)), c_fequal))), c_Orderings_Oord__class_Omin(_u9899)))))), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9899, tc_HOL_Obool), tc_fun(_u9899, tc_HOL_Obool)), _u9899), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9899)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9899), c_fconj), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9899)), _u9900)))), hAPP(hAPP(c_COMBC(_u9899, tc_fun(_u9899, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9899)), _u9901)))))))) )).
% 12.21/12.46 cnf(matrix-4744, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9903), _u9904)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9905), _u9906)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9903, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_Nat_Onat, _u9903), c_Finite__Set_Ocard(_u9905)), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), c_Set_OCollect(_u9905)), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), hAPP(c_COMBS(_u9905, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9905), c_fconj), hAPP(hAPP(c_COMBC(_u9905, tc_fun(_u9905, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9905)), _u9906)))), _u9907)))), _u9904) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9905, tc_Nat_Onat), _u9908), _u9906)) | hBOOL(hAPP(hAPP(c_member(_u9905), skolem251(_u9908, _u9907, _u9906, _u9905, _u9904, _u9903)), _u9906)) )).
% 12.21/12.46 cnf(matrix-4745, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9903), _u9904)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9905), _u9906)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9903, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_Nat_Onat, _u9903), c_Finite__Set_Ocard(_u9905)), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), c_Set_OCollect(_u9905)), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), hAPP(c_COMBS(_u9905, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9905), c_fconj), hAPP(hAPP(c_COMBC(_u9905, tc_fun(_u9905, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9905)), _u9906)))), _u9907)))), _u9904) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9905, tc_Nat_Onat), _u9908), _u9906)) | ( hAPP(c_Finite__Set_Ocard(_u9903), hAPP(c_Set_OCollect(_u9903), hAPP(hAPP(c_COMBS(_u9903, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9903), c_fconj), hAPP(hAPP(c_COMBC(_u9903, tc_fun(_u9903, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9903)), _u9904))), hAPP(hAPP(c_COMBC(_u9903, _u9905, tc_HOL_Obool), _u9907), skolem251(_u9908, _u9907, _u9906, _u9905, _u9904, _u9903))))) != hAPP(_u9908, skolem251(_u9908, _u9907, _u9906, _u9905, _u9904, _u9903))) )).
% 12.21/12.46 cnf(matrix-4746, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9915), _u9917)) | ( _u9917 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u9915, skolem253(_u9917, _u9915)), 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)), skolem252(_u9917, _u9915))))) )).
% 12.21/12.46 cnf(matrix-4747, plain, ( ( _u9918 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u9916, _u9911), 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)), _u9912)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9916), _u9918)) )).
% 12.21/12.46 cnf(matrix-4748, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9920), _u9921)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9922), hAPP(c_Set_Oimage(_u9920, _u9922, _u9923), _u9921))) | hBOOL(hAPP(hAPP(c_member(_u9920), skolem254(_u9923, _u9922, _u9921, _u9920)), _u9921)) )).
% 12.21/12.46 cnf(matrix-4749, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9920), _u9921)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9922), hAPP(c_Set_Oimage(_u9920, _u9922, _u9923), _u9921))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9920), hAPP(c_Set_OCollect(_u9920), hAPP(hAPP(c_COMBS(_u9920, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9920), c_fconj), hAPP(hAPP(c_COMBC(_u9920, tc_fun(_u9920, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9920)), _u9921))), hAPP(hAPP(c_COMBC(_u9920, _u9922, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u9922, tc_fun(_u9922, tc_HOL_Obool), _u9920), c_fequal), _u9923)), hAPP(_u9923, skolem254(_u9923, _u9922, _u9921, _u9920))))))) )).
% 12.21/12.46 cnf(matrix-4750, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9924), _u9925)) | ~c_Fun_Oinj__on(_u9924, tc_fun(tc_fun(_u9924, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u9924, tc_fun(tc_prod(_u9924, _u9924), tc_HOL_Obool), tc_fun(tc_fun(_u9924, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9924, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u9924, _u9924), tc_HOL_Obool), tc_fun(tc_fun(_u9924, tc_HOL_Obool), tc_HOL_Obool)), _u9924), c_Equiv__Relations_Oquotient(_u9924)), hAPP(hAPP(c_COMBC(_u9924, tc_fun(_u9924, tc_HOL_Obool), tc_fun(_u9924, tc_HOL_Obool)), c_Set_Oinsert(_u9924)), c_Orderings_Obot__class_Obot(tc_fun(_u9924, tc_HOL_Obool))))), _u9926), _u9925) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u9924, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9924), _u9925), _u9926)) = hAPP(c_Finite__Set_Ocard(_u9924), _u9925)) )).
% 12.21/12.46 cnf(matrix-4751, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9930), _u9932), _u9934) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9930, tc_HOL_Obool), tc_HOL_Obool))) | ( _u9932 = c_Orderings_Obot__class_Obot(tc_fun(_u9930, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4752, plain, ( ( _u9933 != c_Orderings_Obot__class_Obot(tc_fun(_u9931, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9931), _u9933), _u9935) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9931, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4753, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9939, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9939), _u9941), _u9943)) | ( _u9941 = c_Orderings_Obot__class_Obot(tc_fun(_u9939, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4754, plain, ( ( _u9942 != c_Orderings_Obot__class_Obot(tc_fun(_u9940, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9940, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9940), _u9942), _u9944)) )).
% 12.21/12.46 cnf(matrix-4755, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9945), c_Orderings_Obot__class_Obot(tc_fun(_u9945, tc_HOL_Obool))), _u9946) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9945, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4756, plain, ( ~c_Fun_Oinj__on(_u9947, tc_fun(tc_fun(_u9947, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u9947, tc_fun(tc_prod(_u9947, _u9947), tc_HOL_Obool), tc_fun(tc_fun(_u9947, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9947, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u9947, _u9947), tc_HOL_Obool), tc_fun(tc_fun(_u9947, tc_HOL_Obool), tc_HOL_Obool)), _u9947), c_Equiv__Relations_Oquotient(_u9947)), hAPP(hAPP(c_COMBC(_u9947, tc_fun(_u9947, tc_HOL_Obool), tc_fun(_u9947, tc_HOL_Obool)), c_Set_Oinsert(_u9947)), c_Orderings_Obot__class_Obot(tc_fun(_u9947, tc_HOL_Obool))))), _u9948), _u9949) | ~hBOOL(hAPP(hAPP(c_member(_u9947), _u9950), _u9949)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9947), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9947, tc_HOL_Obool)), _u9949), hAPP(hAPP(c_Set_Oinsert(_u9947), _u9950), c_Orderings_Obot__class_Obot(tc_fun(_u9947, tc_HOL_Obool))))), _u9948) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u9947, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9947), _u9949), _u9948)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9947), hAPP(hAPP(c_Set_Oinsert(_u9947), _u9950), c_Orderings_Obot__class_Obot(tc_fun(_u9947, tc_HOL_Obool)))), _u9948))) )).
% 12.21/12.46 cnf(matrix-4757, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9951), _u9952), _u9953) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9951, tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool)), _u9952), hAPP(hAPP(c_COMBC(_u9951, tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9951, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool)), _u9951), c_Set_Oinsert(tc_fun(_u9951, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9951, tc_HOL_Obool), tc_fun(_u9951, tc_HOL_Obool), _u9951), c_Relation_OImage(_u9951, _u9951, _u9953)), hAPP(hAPP(c_COMBC(_u9951, tc_fun(_u9951, tc_HOL_Obool), tc_fun(_u9951, tc_HOL_Obool)), c_Set_Oinsert(_u9951)), c_Orderings_Obot__class_Obot(tc_fun(_u9951, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.21/12.46 cnf(matrix-4758, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9954), hAPP(hAPP(c_Set_Oinsert(_u9954), _u9955), c_Orderings_Obot__class_Obot(tc_fun(_u9954, tc_HOL_Obool)))), _u9956) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9954, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9954, _u9954, _u9956), hAPP(hAPP(c_Set_Oinsert(_u9954), _u9955), c_Orderings_Obot__class_Obot(tc_fun(_u9954, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9954, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4759, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9958), _u9959)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9960), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9958, tc_fun(_u9960, tc_HOL_Obool)), _u9959), _u9961))) | hBOOL(hAPP(hAPP(c_member(_u9958), skolem255(_u9961, _u9960, _u9959, _u9958)), _u9959)) )).
% 12.21/12.46 cnf(matrix-4760, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9958), _u9959)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9960), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9958, tc_fun(_u9960, tc_HOL_Obool)), _u9959), _u9961))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9960), hAPP(_u9961, skolem255(_u9961, _u9960, _u9959, _u9958)))) )).
% 12.21/12.46 cnf(matrix-4761, 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)), _u9964), _u9963) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem256(_u9964, _u9963)), _u9963)) )).
% 12.21/12.46 cnf(matrix-4762, 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)), _u9964), _u9963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9964), skolem256(_u9964, _u9963))) )).
% 12.21/12.46 cnf(matrix-4763, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9966), _u9967)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9965, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9965, _u9965, _u9968), hAPP(hAPP(c_Set_Oinsert(_u9965), _u9966), c_Orderings_Obot__class_Obot(tc_fun(_u9965, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9965), _u9967), _u9968))) )).
% 12.21/12.46 cnf(matrix-4764, plain, ( ( hAPP(c_Relation_OImage(_u9969, _u9970, _u9971), _u9972) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9969, tc_fun(_u9970, tc_HOL_Obool)), _u9972), hAPP(hAPP(c_COMBB(tc_fun(_u9969, tc_HOL_Obool), tc_fun(_u9970, tc_HOL_Obool), _u9969), c_Relation_OImage(_u9969, _u9970, _u9971)), hAPP(hAPP(c_COMBC(_u9969, tc_fun(_u9969, tc_HOL_Obool), tc_fun(_u9969, tc_HOL_Obool)), c_Set_Oinsert(_u9969)), c_Orderings_Obot__class_Obot(tc_fun(_u9969, tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-4765, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9973, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9974, _u9973, _u9975), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9976, tc_fun(_u9974, tc_HOL_Obool)), _u9977), _u9978))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9976, tc_fun(_u9973, tc_HOL_Obool)), _u9977), hAPP(hAPP(c_COMBB(tc_fun(_u9974, tc_HOL_Obool), tc_fun(_u9973, tc_HOL_Obool), _u9976), c_Relation_OImage(_u9974, _u9973, _u9975)), _u9978)))) )).
% 12.21/12.46 cnf(matrix-4766, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9979, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9980, _u9979, _u9981), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9980, tc_HOL_Obool)), _u9982), _u9983))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9979, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9980, _u9979, _u9981), _u9982)), hAPP(c_Relation_OImage(_u9980, _u9979, _u9981), _u9983)))) )).
% 12.21/12.46 cnf(matrix-4767, plain, ( ( hAPP(c_Relation_OImage(_u9984, _u9985, _u9986), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9987, tc_fun(_u9984, tc_HOL_Obool)), _u9988), _u9989)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9987, tc_fun(_u9985, tc_HOL_Obool)), _u9988), hAPP(hAPP(c_COMBB(tc_fun(_u9984, tc_HOL_Obool), tc_fun(_u9985, tc_HOL_Obool), _u9987), c_Relation_OImage(_u9984, _u9985, _u9986)), _u9989))) )).
% 12.21/12.46 cnf(matrix-4768, plain, ( ( hAPP(c_Relation_OImage(_u9990, _u9991, _u9992), c_Orderings_Obot__class_Obot(tc_fun(_u9990, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9991, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9993, _u9994), tc_HOL_Obool)), _u9995), _u9996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9993, tc_HOL_Obool)), _u9997), _u9998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9994, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9993, _u9994, _u9995), _u9997)), hAPP(c_Relation_OImage(_u9993, _u9994, _u9996), _u9998))) )).
% 12.21/12.46 cnf(matrix-4770, plain, ( ( hAPP(c_Relation_OImage(_u9999, _u10000, _u10001), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9999, tc_HOL_Obool)), _u10002), _u10003)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10000, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9999, _u10000, _u10001), _u10002)), hAPP(c_Relation_OImage(_u9999, _u10000, _u10001), _u10003))) )).
% 12.21/12.46 cnf(matrix-4771, plain, ( ( hAPP(c_Relation_OImage(_u10004, _u10005, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10004, _u10005), tc_HOL_Obool)), _u10006), _u10007)), _u10008) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10005, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10004, _u10005, _u10006), _u10008)), hAPP(c_Relation_OImage(_u10004, _u10005, _u10007), _u10008))) )).
% 12.21/12.46 cnf(matrix-4772, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10010, tc_HOL_Obool)), _u10011), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10010), _u10012), _u10013))) | ( _u10011 = hAPP(c_Relation_OImage(_u10010, _u10010, _u10013), hAPP(hAPP(c_Set_Oinsert(_u10010), skolem257(_u10013, _u10012, _u10011, _u10010)), c_Orderings_Obot__class_Obot(tc_fun(_u10010, tc_HOL_Obool))))) )).
% 12.21/12.46 cnf(matrix-4773, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10010, tc_HOL_Obool)), _u10011), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10010), _u10012), _u10013))) | hBOOL(hAPP(hAPP(c_member(_u10010), skolem257(_u10013, _u10012, _u10011, _u10010)), _u10012)) )).
% 12.21/12.46 cnf(matrix-4774, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10016)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10018)), hAPP(c_Int_Onat, _u10016)) = hAPP(c_Int_Onat, _u10018)) )).
% 12.21/12.46 cnf(matrix-4775, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10017)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10019)), hAPP(c_Int_Onat, _u10017)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10019), _u10017)), 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))) )).
% 12.21/12.46 cnf(matrix-4776, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10021, tc_Nat_Onat), _u10022), _u10023) != hAPP(c_Nat_OSuc, _u10024)) | hBOOL(hAPP(hAPP(c_member(_u10021), skolem258(_u10024, _u10023, _u10022, _u10021)), _u10023)) )).
% 12.21/12.46 cnf(matrix-4777, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10021, tc_Nat_Onat), _u10022), _u10023) != hAPP(c_Nat_OSuc, _u10024)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10022, skolem258(_u10024, _u10023, _u10022, _u10021)))) )).
% 12.21/12.46 cnf(matrix-4778, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10026, _u10027) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10028, _u10027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10028), _u10026)) | ( _u10026 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10027), skolem259(_u10028, _u10027, _u10026)))) )).
% 12.21/12.46 cnf(matrix-4779, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10029))) )).
% 12.21/12.46 cnf(matrix-4780, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4781, plain, ( ( _u10030 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10031, _u10031), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10031, _u10031), tc_HOL_Obool)), _u10030), _u10032)) )).
% 12.21/12.46 cnf(matrix-4782, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4783, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10034)) )).
% 12.21/12.46 cnf(matrix-4784, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10035)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10035)) )).
% 12.21/12.46 cnf(matrix-4785, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10037), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4786, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10038), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10038)) )).
% 12.21/12.46 cnf(matrix-4787, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10039)) | ( hAPP(c_Int_Onat, _u10039) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4788, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10040)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10040)) = _u10040) )).
% 12.21/12.46 cnf(matrix-4789, 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, _u10041))))) )).
% 12.21/12.46 cnf(matrix-4790, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u10042, _u10043, _u10044)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u10043)), c_Com_Ocom_Ocom__size(_u10044))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-4791, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u10045, _u10046, _u10047)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u10046)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u10047))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-4792, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10051)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10049, _u10050, c_Groups_Otimes__class_Otimes(_u10049)), _u10052), c_Groups_Oone__class_Oone(_u10049)), _u10051) = c_Groups_Oone__class_Oone(_u10049)) | hBOOL(hAPP(hAPP(c_member(_u10050), skolem260(_u10052, _u10051, _u10050, _u10049)), _u10051)) )).
% 12.21/12.46 cnf(matrix-4793, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10051)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10049, _u10050, c_Groups_Otimes__class_Otimes(_u10049)), _u10052), c_Groups_Oone__class_Oone(_u10049)), _u10051) = c_Groups_Oone__class_Oone(_u10049)) | ( hAPP(_u10052, skolem260(_u10052, _u10051, _u10050, _u10049)) != c_Groups_Oone__class_Oone(_u10049)) )).
% 12.21/12.46 cnf(matrix-4794, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10054), _u10055)) | ( hAPP(c_Finite__Set_Ocard(_u10054), _u10055) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10054), skolem261(_u10055, _u10054)), _u10055)) )).
% 12.21/12.46 cnf(matrix-4795, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10054), _u10055)) | ( hAPP(c_Finite__Set_Ocard(_u10054), _u10055) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4796, plain, ( ( c_Com_Ocom_OCond(_u10062, _u10064, _u10066) != c_Com_Ocom_OCond(_u10068, _u10070, _u10072)) | ( _u10062 = _u10068) )).
% 12.21/12.46 cnf(matrix-4797, plain, ( ( c_Com_Ocom_OCond(_u10062, _u10064, _u10066) != c_Com_Ocom_OCond(_u10068, _u10070, _u10072)) | ( _u10064 = _u10070) )).
% 12.21/12.46 cnf(matrix-4798, plain, ( ( c_Com_Ocom_OCond(_u10062, _u10064, _u10066) != c_Com_Ocom_OCond(_u10068, _u10070, _u10072)) | ( _u10066 = _u10072) )).
% 12.21/12.46 cnf(matrix-4799, plain, ( ( _u10063 != _u10069) | ( _u10065 != _u10071) | ( _u10067 != _u10073) | ( c_Com_Ocom_OCond(_u10063, _u10065, _u10067) = c_Com_Ocom_OCond(_u10069, _u10071, _u10073)) )).
% 12.21/12.46 cnf(matrix-4800, plain, ( ( c_Com_Ocom_OCond(_u10074, _u10075, _u10076) != c_Com_Ocom_OWhile(_u10077, _u10078)) )).
% 12.21/12.46 cnf(matrix-4801, plain, ( ( c_Com_Ocom_OWhile(_u10079, _u10080) != c_Com_Ocom_OCond(_u10081, _u10082, _u10083)) )).
% 12.21/12.46 cnf(matrix-4802, plain, ( ( c_Com_Ocom_OCond(_u10084, _u10085, _u10086) != c_Com_Ocom_OSemi(_u10087, _u10088)) )).
% 12.21/12.46 cnf(matrix-4803, plain, ( ( c_Com_Ocom_OSemi(_u10089, _u10090) != c_Com_Ocom_OCond(_u10091, _u10092, _u10093)) )).
% 12.21/12.46 cnf(matrix-4804, plain, ( ( c_Com_Ocom_OCond(_u10094, _u10095, _u10096) != c_Com_Ocom_OSKIP) )).
% 12.21/12.46 cnf(matrix-4805, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u10097, _u10098, _u10099)) )).
% 12.21/12.46 cnf(matrix-4806, plain, ( ~hBOOL(hAPP(_u10102, _u10103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10103), _u10101)) | hBOOL(hAPP(_u10102, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem262(_u10103, _u10102, _u10101)), _u10101)) )).
% 12.21/12.46 cnf(matrix-4807, plain, ( ~hBOOL(hAPP(_u10102, _u10103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10103), _u10101)) | hBOOL(hAPP(_u10102, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u10102, skolem262(_u10103, _u10102, _u10101))) )).
% 12.21/12.46 cnf(matrix-4808, plain, ( ~hBOOL(hAPP(_u10102, _u10103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10103), _u10101)) | hBOOL(hAPP(_u10102, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u10102, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem262(_u10103, _u10102, _u10101)), _u10101))) )).
% 12.21/12.46 cnf(matrix-4809, plain, ( hBOOL(hAPP(hAPP(c_member(_u10105), _u10107), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10105, tc_HOL_Obool), _u10106))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10105, tc_HOL_Obool)), skolem263(_u10107, _u10106, _u10105)), _u10106)) )).
% 12.21/12.46 cnf(matrix-4810, plain, ( hBOOL(hAPP(hAPP(c_member(_u10105), _u10107), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10105, tc_HOL_Obool), _u10106))) | ~hBOOL(hAPP(hAPP(c_member(_u10105), _u10107), skolem263(_u10107, _u10106, _u10105))) )).
% 12.21/12.46 cnf(matrix-4811, plain, ( ~class_Groups_Oab__semigroup__mult(_u10109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10110), _u10111)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10109, _u10110, c_Groups_Otimes__class_Otimes(_u10109)), _u10112), _u10114), _u10111) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10109, _u10110, c_Groups_Otimes__class_Otimes(_u10109)), _u10113), _u10114), _u10111)) | hBOOL(hAPP(hAPP(c_member(_u10110), skolem264(_u10114, _u10113, _u10112, _u10111, _u10110, _u10109)), _u10111)) )).
% 12.21/12.46 cnf(matrix-4812, plain, ( ~class_Groups_Oab__semigroup__mult(_u10109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10110), _u10111)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10109, _u10110, c_Groups_Otimes__class_Otimes(_u10109)), _u10112), _u10114), _u10111) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10109, _u10110, c_Groups_Otimes__class_Otimes(_u10109)), _u10113), _u10114), _u10111)) | ( hAPP(_u10112, skolem264(_u10114, _u10113, _u10112, _u10111, _u10110, _u10109)) != hAPP(_u10113, skolem264(_u10114, _u10113, _u10112, _u10111, _u10110, _u10109))) )).
% 12.21/12.46 cnf(matrix-4813, plain, ( ~class_Lattices_Osemilattice__inf(_u10116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10116), _u10117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10116), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10116), _u10118), _u10119)), hAPP(hAPP(c_Finite__Set_Ofold(_u10116, _u10116, c_Lattices_Osemilattice__inf__class_Oinf(_u10116)), _u10119), _u10117))) | hBOOL(hAPP(hAPP(c_member(_u10116), skolem265(_u10119, _u10118, _u10117, _u10116)), _u10117)) )).
% 12.21/12.46 cnf(matrix-4814, plain, ( ~class_Lattices_Osemilattice__inf(_u10116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10116), _u10117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10116), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10116), _u10118), _u10119)), hAPP(hAPP(c_Finite__Set_Ofold(_u10116, _u10116, c_Lattices_Osemilattice__inf__class_Oinf(_u10116)), _u10119), _u10117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10116), _u10118), skolem265(_u10119, _u10118, _u10117, _u10116))) )).
% 12.21/12.46 cnf(matrix-4815, plain, ( ~class_Lattices_Osemilattice__sup(_u10121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10121), _u10122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), hAPP(hAPP(c_Finite__Set_Ofold(_u10121, _u10121, c_Lattices_Osemilattice__sup__class_Osup(_u10121)), _u10124), _u10122)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10121), _u10123), _u10124))) | hBOOL(hAPP(hAPP(c_member(_u10121), skolem266(_u10124, _u10123, _u10122, _u10121)), _u10122)) )).
% 12.21/12.46 cnf(matrix-4816, plain, ( ~class_Lattices_Osemilattice__sup(_u10121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10121), _u10122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), hAPP(hAPP(c_Finite__Set_Ofold(_u10121, _u10121, c_Lattices_Osemilattice__sup__class_Osup(_u10121)), _u10124), _u10122)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10121), _u10123), _u10124))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), skolem266(_u10124, _u10123, _u10122, _u10121)), _u10123)) )).
% 12.21/12.46 cnf(matrix-4817, 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), _u10125))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10125) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10125)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-4818, plain, ( ~c_Equiv__Relations_Oequiv(_u10126, _u10127, _u10128) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10126, tc_HOL_Obool)), _u10129), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10126), _u10127), _u10128))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10126, tc_HOL_Obool)), _u10130), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10126), _u10127), _u10128))) | ( _u10129 = _u10130) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10126, tc_HOL_Obool)), _u10129), _u10130) = c_Orderings_Obot__class_Obot(tc_fun(_u10126, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4819, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u10131, _u10132, _u10133)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u10133)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-4820, plain, ( ~class_Int_Onumber__ring(_u10134) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10135))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10134), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10135)) = c_Groups_Ozero__class_Ozero(_u10134)) )).
% 12.21/12.46 cnf(matrix-4821, plain, ( ~class_Int_Onumber__ring(_u10134) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10135))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10134), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10135)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10134), _u10135)) )).
% 12.21/12.46 cnf(matrix-4822, plain, ( ~class_Int_Onumber__ring(_u10136) | ~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), _u10137))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10136), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10137)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10136), _u10137)) )).
% 12.21/12.46 cnf(matrix-4823, plain, ( ~class_Int_Onumber__ring(_u10136) | 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), _u10137))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10136), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10137)) = c_Groups_Ozero__class_Ozero(_u10136)) )).
% 12.21/12.46 cnf(matrix-4824, plain, ( ~class_Int_Onumber__ring(_u10138) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10138), _u10139) = hAPP(c_Int_Oring__1__class_Oof__int(_u10138), _u10139)) )).
% 12.21/12.46 cnf(matrix-4825, plain, ( ~class_Int_Onumber__ring(_u10140) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10140), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10141)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10140), _u10141)) )).
% 12.21/12.46 cnf(matrix-4826, plain, ( ( c_Com_Ocom_OLocal(_u10148, _u10150, _u10152) != c_Com_Ocom_OLocal(_u10154, _u10156, _u10158)) | ( _u10148 = _u10154) )).
% 12.21/12.46 cnf(matrix-4827, plain, ( ( c_Com_Ocom_OLocal(_u10148, _u10150, _u10152) != c_Com_Ocom_OLocal(_u10154, _u10156, _u10158)) | ( _u10150 = _u10156) )).
% 12.21/12.46 cnf(matrix-4828, plain, ( ( c_Com_Ocom_OLocal(_u10148, _u10150, _u10152) != c_Com_Ocom_OLocal(_u10154, _u10156, _u10158)) | ( _u10152 = _u10158) )).
% 12.21/12.46 cnf(matrix-4829, plain, ( ( _u10149 != _u10155) | ( _u10151 != _u10157) | ( _u10153 != _u10159) | ( c_Com_Ocom_OLocal(_u10149, _u10151, _u10153) = c_Com_Ocom_OLocal(_u10155, _u10157, _u10159)) )).
% 12.21/12.46 cnf(matrix-4830, plain, ( ~class_Int_Onumber(_u10160) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10160), _u10161) != _u10162) | ( _u10162 = hAPP(c_Int_Onumber__class_Onumber__of(_u10160), _u10161)) )).
% 12.21/12.46 cnf(matrix-4831, plain, ( ~class_Int_Onumber(_u10160) | ( _u10162 != hAPP(c_Int_Onumber__class_Onumber__of(_u10160), _u10161)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10160), _u10161) = _u10162) )).
% 12.21/12.46 cnf(matrix-4832, plain, ( ~class_Int_Onumber__ring(_u10163) | ~class_Int_Oring__char__0(_u10163) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10163), _u10164) != hAPP(c_Int_Onumber__class_Onumber__of(_u10163), _u10165)) | ( _u10164 = _u10165) )).
% 12.21/12.46 cnf(matrix-4833, plain, ( ~class_Int_Onumber__ring(_u10163) | ~class_Int_Oring__char__0(_u10163) | ( _u10164 != _u10165) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10163), _u10164) = hAPP(c_Int_Onumber__class_Onumber__of(_u10163), _u10165)) )).
% 12.21/12.46 cnf(matrix-4834, plain, ( ( c_Com_Ocom_OWhile(_u10166, _u10167) != c_Com_Ocom_OLocal(_u10168, _u10169, _u10170)) )).
% 12.21/12.46 cnf(matrix-4835, plain, ( ( c_Com_Ocom_OLocal(_u10171, _u10172, _u10173) != c_Com_Ocom_OWhile(_u10174, _u10175)) )).
% 12.21/12.46 cnf(matrix-4836, plain, ( ( c_Com_Ocom_OCond(_u10176, _u10177, _u10178) != c_Com_Ocom_OLocal(_u10179, _u10180, _u10181)) )).
% 12.21/12.46 cnf(matrix-4837, plain, ( ( c_Com_Ocom_OLocal(_u10182, _u10183, _u10184) != c_Com_Ocom_OCond(_u10185, _u10186, _u10187)) )).
% 12.21/12.46 cnf(matrix-4838, plain, ( ( c_Com_Ocom_OLocal(_u10188, _u10189, _u10190) != c_Com_Ocom_OSemi(_u10191, _u10192)) )).
% 12.21/12.46 cnf(matrix-4839, plain, ( ( c_Com_Ocom_OSemi(_u10193, _u10194) != c_Com_Ocom_OLocal(_u10195, _u10196, _u10197)) )).
% 12.21/12.46 cnf(matrix-4840, plain, ( ( c_Com_Ocom_OLocal(_u10198, _u10199, _u10200) != c_Com_Ocom_OSKIP) )).
% 12.21/12.46 cnf(matrix-4841, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u10201, _u10202, _u10203)) )).
% 12.21/12.46 cnf(matrix-4842, plain, ( ~class_Int_Onumber(_u10204) | ~class_Orderings_Olinorder(_u10204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10204), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10205)), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10206))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10204), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10206)), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10205))) )).
% 12.21/12.46 cnf(matrix-4843, plain, ( ~class_Int_Onumber(_u10204) | ~class_Orderings_Olinorder(_u10204) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10204), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10206)), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10205))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10204), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10205)), hAPP(c_Int_Onumber__class_Onumber__of(_u10204), _u10206))) )).
% 12.21/12.46 cnf(matrix-4844, plain, ( ~class_Int_Onumber(_u10207) | ~class_Rings_Osemiring(_u10207) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10207), hAPP(c_Int_Onumber__class_Onumber__of(_u10207), _u10208)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10207), _u10209), _u10210)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10207), hAPP(c_Int_Onumber__class_Onumber__of(_u10207), _u10208)), _u10209)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10207), hAPP(c_Int_Onumber__class_Onumber__of(_u10207), _u10208)), _u10210))) )).
% 12.21/12.46 cnf(matrix-4845, plain, ( ~class_Int_Onumber(_u10211) | ~class_Rings_Osemiring(_u10211) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10211), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10211), _u10212), _u10213)), hAPP(c_Int_Onumber__class_Onumber__of(_u10211), _u10214)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10211), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10211), _u10212), hAPP(c_Int_Onumber__class_Onumber__of(_u10211), _u10214))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10211), _u10213), hAPP(c_Int_Onumber__class_Onumber__of(_u10211), _u10214)))) )).
% 12.21/12.46 cnf(matrix-4846, plain, ( ~class_Int_Onumber(_u10215) | ~class_Rings_Oring(_u10215) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10215), hAPP(c_Int_Onumber__class_Onumber__of(_u10215), _u10216)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10215), _u10217), _u10218)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10215), hAPP(c_Int_Onumber__class_Onumber__of(_u10215), _u10216)), _u10217)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10215), hAPP(c_Int_Onumber__class_Onumber__of(_u10215), _u10216)), _u10218))) )).
% 12.21/12.46 cnf(matrix-4847, plain, ( ~class_Int_Onumber(_u10219) | ~class_Rings_Oring(_u10219) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10219), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10219), _u10220), _u10221)), hAPP(c_Int_Onumber__class_Onumber__of(_u10219), _u10222)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10219), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10219), _u10220), hAPP(c_Int_Onumber__class_Onumber__of(_u10219), _u10222))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10219), _u10221), hAPP(c_Int_Onumber__class_Onumber__of(_u10219), _u10222)))) )).
% 12.21/12.46 cnf(matrix-4848, plain, ( ~class_Int_Onumber__ring(_u10223) | ~class_Rings_Olinordered__idom(_u10223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10223), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10224)), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10224), _u10225)) )).
% 12.21/12.46 cnf(matrix-4849, plain, ( ~class_Int_Onumber__ring(_u10223) | ~class_Rings_Olinordered__idom(_u10223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10224), _u10225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10223), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10224)), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10225))) )).
% 12.21/12.46 cnf(matrix-4850, plain, ( ~class_Int_Onumber__ring(_u10226) | ~class_Rings_Olinordered__idom(_u10226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10226), hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10227)), hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10228))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10228)) )).
% 12.21/12.46 cnf(matrix-4851, plain, ( ~class_Int_Onumber__ring(_u10226) | ~class_Rings_Olinordered__idom(_u10226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10226), hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10227)), hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10228))) )).
% 12.21/12.46 cnf(matrix-4852, plain, ( ~class_Int_Onumber(_u10229) | ~class_Orderings_Oord(_u10229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10229), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10229), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)) )).
% 12.21/12.46 cnf(matrix-4853, plain, ( ~class_Int_Onumber(_u10229) | ~class_Orderings_Oord(_u10229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10229), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10229), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10230)), hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10229), _u10231)) )).
% 12.21/12.46 cnf(matrix-4854, plain, ( ~class_Int_Onumber(_u10232) | ~class_Orderings_Oord(_u10232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10232), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10232), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234)) )).
% 12.21/12.46 cnf(matrix-4855, plain, ( ~class_Int_Onumber(_u10232) | ~class_Orderings_Oord(_u10232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10232), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10232), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)), hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10234)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10232), _u10233)) )).
% 12.21/12.46 cnf(matrix-4856, plain, ( ~class_Int_Onumber__ring(_u10235) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10235), hAPP(c_Int_Onumber__class_Onumber__of(_u10235), _u10236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10235), hAPP(c_Int_Onumber__class_Onumber__of(_u10235), _u10237)), _u10238)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10235), hAPP(c_Int_Onumber__class_Onumber__of(_u10235), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10236), _u10237))), _u10238)) )).
% 12.21/12.46 cnf(matrix-4857, plain, ( ~class_Int_Onumber__ring(_u10239) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10239), hAPP(c_Int_Onumber__class_Onumber__of(_u10239), _u10240)), hAPP(c_Int_Onumber__class_Onumber__of(_u10239), _u10241)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10239), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10240), _u10241))) )).
% 12.21/12.46 cnf(matrix-4858, plain, ( ~class_Int_Onumber__ring(_u10242) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10242), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10243), _u10244)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10242), hAPP(c_Int_Onumber__class_Onumber__of(_u10242), _u10243)), hAPP(c_Int_Onumber__class_Onumber__of(_u10242), _u10244))) )).
% 12.21/12.46 cnf(matrix-4859, plain, ( ~class_Int_Onumber__ring(_u10245) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10245), hAPP(c_Int_Onumber__class_Onumber__of(_u10245), _u10246)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10245), hAPP(c_Int_Onumber__class_Onumber__of(_u10245), _u10247)), _u10248)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10245), hAPP(c_Int_Onumber__class_Onumber__of(_u10245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10246), _u10247))), _u10248)) )).
% 12.21/12.46 cnf(matrix-4860, plain, ( ~class_Int_Onumber__ring(_u10249) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10249), hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10250)), hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10251)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10250), _u10251))) )).
% 12.21/12.46 cnf(matrix-4861, plain, ( ~class_Int_Onumber__ring(_u10252) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10252), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10253), _u10254)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10252), hAPP(c_Int_Onumber__class_Onumber__of(_u10252), _u10253)), hAPP(c_Int_Onumber__class_Onumber__of(_u10252), _u10254))) )).
% 12.21/12.46 cnf(matrix-4862, plain, ( ~class_Int_Onumber__ring(_u10255) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10256), _u10257)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10255), hAPP(c_Int_Onumber__class_Onumber__of(_u10255), _u10256)), hAPP(c_Int_Onumber__class_Onumber__of(_u10255), _u10257))) )).
% 12.21/12.46 cnf(matrix-4863, plain, ( ~class_Int_Onumber__ring(_u10258) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10258), hAPP(c_Int_Onumber__class_Onumber__of(_u10258), _u10259)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10258), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10259))) )).
% 12.21/12.46 cnf(matrix-4864, plain, ( ~class_Int_Onumber__ring(_u10260) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10260), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10261)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10260), hAPP(c_Int_Onumber__class_Onumber__of(_u10260), _u10261))) )).
% 12.21/12.46 cnf(matrix-4865, plain, ( ~class_Int_Onumber__ring(_u10262) | hBOOL(hAPP(hAPP(c_member(_u10262), hAPP(c_Int_Onumber__class_Onumber__of(_u10262), _u10263)), c_Int_Oring__1__class_OInts(_u10262))) )).
% 12.21/12.46 cnf(matrix-4866, plain, ( ~c_Equiv__Relations_Oequiv(_u10264, _u10265, _u10266) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10264, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10264), _u10265), _u10266)) = _u10265) )).
% 12.21/12.46 cnf(matrix-4867, plain, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) != _u10270) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269) = c_Groups_Ozero__class_Ozero(_u10267)) | ( _u10268 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10267), _u10270), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269))) )).
% 12.21/12.46 cnf(matrix-4868, plain, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) != _u10270) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269) != c_Groups_Ozero__class_Ozero(_u10267)) | ( _u10270 = c_Groups_Ozero__class_Ozero(_u10267)) )).
% 12.21/12.46 cnf(matrix-4869, plain, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) = _u10270) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269) != c_Groups_Ozero__class_Ozero(_u10267)) | ( _u10270 != c_Groups_Ozero__class_Ozero(_u10267)) )).
% 12.21/12.46 cnf(matrix-4870, plain, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) = _u10270) | ( _u10268 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10267), _u10270), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269) = c_Groups_Ozero__class_Ozero(_u10267)) )).
% 12.21/12.46 cnf(matrix-4871, plain, ( ~class_Fields_Ofield__inverse__zero(_u10267) | ~class_Int_Onumber(_u10267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10267), _u10268), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269)) = _u10270) | ( _u10268 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10267), _u10270), hAPP(c_Int_Onumber__class_Onumber__of(_u10267), _u10269))) | ( _u10270 != c_Groups_Ozero__class_Ozero(_u10267)) )).
% 12.21/12.46 cnf(matrix-4872, plain, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) != hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10273 = c_Groups_Ozero__class_Ozero(_u10271)) | ( _u10272 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10271), hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)), _u10273)) )).
% 12.21/12.46 cnf(matrix-4873, plain, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) != hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10273 != c_Groups_Ozero__class_Ozero(_u10271)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274) = c_Groups_Ozero__class_Ozero(_u10271)) )).
% 12.21/12.46 cnf(matrix-4874, plain, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) = hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10273 != c_Groups_Ozero__class_Ozero(_u10271)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274) != c_Groups_Ozero__class_Ozero(_u10271)) )).
% 12.21/12.46 cnf(matrix-4875, plain, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) = hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10272 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10271), hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)), _u10273)) | ( _u10273 = c_Groups_Ozero__class_Ozero(_u10271)) )).
% 12.21/12.46 cnf(matrix-4876, plain, ( ~class_Fields_Ofield__inverse__zero(_u10271) | ~class_Int_Onumber(_u10271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10271), _u10272), _u10273) = hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)) | ( _u10272 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10271), hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274)), _u10273)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10271), _u10274) != c_Groups_Ozero__class_Ozero(_u10271)) )).
% 12.21/12.46 cnf(matrix-4877, plain, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( _u10278 = c_Groups_Ozero__class_Ozero(_u10275)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10275), hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276)), _u10278) = _u10277) )).
% 12.21/12.46 cnf(matrix-4878, plain, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( _u10278 != c_Groups_Ozero__class_Ozero(_u10275)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) = c_Groups_Ozero__class_Ozero(_u10275)) )).
% 12.21/12.46 cnf(matrix-4879, plain, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( _u10278 != c_Groups_Ozero__class_Ozero(_u10275)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) != c_Groups_Ozero__class_Ozero(_u10275)) )).
% 12.21/12.46 cnf(matrix-4880, plain, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10275), hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276)), _u10278) != _u10277) | ( _u10278 = c_Groups_Ozero__class_Ozero(_u10275)) )).
% 12.21/12.46 cnf(matrix-4881, plain, ( ~class_Fields_Ofield__inverse__zero(_u10275) | ~class_Int_Onumber(_u10275) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10275), _u10277), _u10278)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10275), hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276)), _u10278) != _u10277) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10275), _u10276) != c_Groups_Ozero__class_Ozero(_u10275)) )).
% 12.21/12.46 cnf(matrix-4882, plain, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282) = c_Groups_Ozero__class_Ozero(_u10279)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10279), _u10280), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282)) = _u10281) )).
% 12.21/12.46 cnf(matrix-4883, plain, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282) != c_Groups_Ozero__class_Ozero(_u10279)) | ( _u10280 = c_Groups_Ozero__class_Ozero(_u10279)) )).
% 12.21/12.46 cnf(matrix-4884, plain, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282) != c_Groups_Ozero__class_Ozero(_u10279)) | ( _u10280 != c_Groups_Ozero__class_Ozero(_u10279)) )).
% 12.21/12.46 cnf(matrix-4885, plain, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10279), _u10280), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282)) != _u10281) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282) = c_Groups_Ozero__class_Ozero(_u10279)) )).
% 12.21/12.46 cnf(matrix-4886, plain, ( ~class_Fields_Ofield__inverse__zero(_u10279) | ~class_Int_Onumber(_u10279) | ( _u10280 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10279), _u10281), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10279), _u10280), hAPP(c_Int_Onumber__class_Onumber__of(_u10279), _u10282)) != _u10281) | ( _u10280 != c_Groups_Ozero__class_Ozero(_u10279)) )).
% 12.21/12.46 cnf(matrix-4887, plain, ( ~class_Int_Onumber__ring(_u10283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10283), hAPP(c_Int_Onumber__class_Onumber__of(_u10283), _u10284)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10283), hAPP(c_Int_Onumber__class_Onumber__of(_u10283), _u10285)), _u10286)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10283), hAPP(c_Int_Onumber__class_Onumber__of(_u10283), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10284), _u10285))), _u10286)) )).
% 12.21/12.46 cnf(matrix-4888, plain, ( ~class_Int_Onumber__ring(_u10287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10287), hAPP(c_Groups_Ouminus__class_Ouminus(_u10287), hAPP(c_Int_Onumber__class_Onumber__of(_u10287), _u10288))), _u10289) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10287), hAPP(c_Int_Onumber__class_Onumber__of(_u10287), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10288))), _u10289)) )).
% 12.21/12.46 cnf(matrix-4889, plain, ( ~class_Int_Onumber__ring(_u10290) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10290), hAPP(c_Int_Onumber__class_Onumber__of(_u10290), _u10291)), hAPP(c_Int_Onumber__class_Onumber__of(_u10290), _u10292)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10291), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10292)))) )).
% 12.21/12.46 cnf(matrix-4890, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) )).
% 12.21/12.46 cnf(matrix-4891, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) )).
% 12.21/12.46 cnf(matrix-4892, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.21/12.46 cnf(matrix-4893, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.21/12.46 cnf(matrix-4894, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) )).
% 12.21/12.46 cnf(matrix-4895, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.21/12.46 cnf(matrix-4896, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))) )).
% 12.21/12.46 cnf(matrix-4897, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.21/12.46 cnf(matrix-4898, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)), c_Groups_Ozero__class_Ozero(_u10293))) )).
% 12.21/12.46 cnf(matrix-4899, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10293) | ~class_Int_Onumber(_u10293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10293), _u10294), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), _u10294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10293), _u10296), hAPP(c_Int_Onumber__class_Onumber__of(_u10293), _u10295))), _u10294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10293), c_Groups_Ozero__class_Ozero(_u10293)), _u10296)) )).
% 12.21/12.46 cnf(matrix-4900, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) )).
% 12.21/12.46 cnf(matrix-4901, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) )).
% 12.21/12.46 cnf(matrix-4902, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.21/12.46 cnf(matrix-4903, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.21/12.46 cnf(matrix-4904, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) )).
% 12.21/12.46 cnf(matrix-4905, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.21/12.46 cnf(matrix-4906, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), _u10299)) )).
% 12.21/12.46 cnf(matrix-4907, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.21/12.46 cnf(matrix-4908, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10299), c_Groups_Ozero__class_Ozero(_u10297))) )).
% 12.21/12.46 cnf(matrix-4909, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10297) | ~class_Int_Onumber(_u10297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10297), _u10298), _u10299)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), _u10298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10297), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300)), _u10299)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10297), c_Groups_Ozero__class_Ozero(_u10297)), hAPP(c_Int_Onumber__class_Onumber__of(_u10297), _u10300))) )).
% 12.21/12.46 cnf(matrix-4910, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) )).
% 12.21/12.46 cnf(matrix-4911, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) )).
% 12.21/12.46 cnf(matrix-4912, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.21/12.46 cnf(matrix-4913, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.21/12.46 cnf(matrix-4914, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.21/12.46 cnf(matrix-4915, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.21/12.46 cnf(matrix-4916, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), c_Groups_Ozero__class_Ozero(_u10301)), _u10304)) )).
% 12.21/12.46 cnf(matrix-4917, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.21/12.46 cnf(matrix-4918, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10304), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.21/12.46 cnf(matrix-4919, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10301) | ~class_Int_Onumber(_u10301) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10301), _u10303), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304)), _u10303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), _u10303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), _u10304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10301), hAPP(c_Int_Onumber__class_Onumber__of(_u10301), _u10302)), c_Groups_Ozero__class_Ozero(_u10301))) )).
% 12.21/12.46 cnf(matrix-4920, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) )).
% 12.21/12.46 cnf(matrix-4921, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) )).
% 12.21/12.46 cnf(matrix-4922, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.21/12.46 cnf(matrix-4923, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.21/12.46 cnf(matrix-4924, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.21/12.46 cnf(matrix-4925, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.21/12.46 cnf(matrix-4926, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), c_Groups_Ozero__class_Ozero(_u10305)), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))) )).
% 12.21/12.46 cnf(matrix-4927, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.21/12.46 cnf(matrix-4928, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.21/12.46 cnf(matrix-4929, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10305) | ~class_Int_Onumber(_u10305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10305), _u10307), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308))), _u10307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10305), _u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10305), _u10308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10305), _u10306), c_Groups_Ozero__class_Ozero(_u10305))) )).
% 12.21/12.46 cnf(matrix-4930, plain, ( ~class_Int_Onumber__ring(_u10309) | ~class_Rings_Olinordered__idom(_u10309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)), c_Groups_Ozero__class_Ozero(_u10309))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310))) )).
% 12.21/12.46 cnf(matrix-4931, plain, ( ~class_Int_Onumber__ring(_u10309) | ~class_Rings_Olinordered__idom(_u10309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)), c_Groups_Ozero__class_Ozero(_u10309))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10309), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10310)) )).
% 12.21/12.46 cnf(matrix-4932, plain, ( ~class_Int_Onumber__ring(_u10311) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10311), hAPP(c_Int_Onumber__class_Onumber__of(_u10311), _u10312)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10311), _u10313), hAPP(c_Int_Onumber__class_Onumber__of(_u10311), _u10314))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10311), hAPP(c_Int_Onumber__class_Onumber__of(_u10311), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10312), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10314)))), _u10313)) )).
% 12.21/12.46 cnf(matrix-4933, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) )).
% 12.21/12.46 cnf(matrix-4934, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) )).
% 12.21/12.46 cnf(matrix-4935, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.21/12.46 cnf(matrix-4936, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.21/12.46 cnf(matrix-4937, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.21/12.46 cnf(matrix-4938, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.21/12.46 cnf(matrix-4939, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), c_Groups_Ozero__class_Ozero(_u10315)), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))) )).
% 12.21/12.46 cnf(matrix-4940, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.21/12.46 cnf(matrix-4941, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10315), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.21/12.46 cnf(matrix-4942, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10315) | ~class_Int_Onumber(_u10315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10315), _u10317), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318))), _u10317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10315), _u10316), hAPP(c_Int_Onumber__class_Onumber__of(_u10315), _u10318)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10315), _u10316), c_Groups_Ozero__class_Ozero(_u10315))) )).
% 12.21/12.46 cnf(matrix-4943, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) )).
% 12.21/12.46 cnf(matrix-4944, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) )).
% 12.21/12.46 cnf(matrix-4945, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.21/12.46 cnf(matrix-4946, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.21/12.46 cnf(matrix-4947, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.21/12.46 cnf(matrix-4948, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.21/12.46 cnf(matrix-4949, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), c_Groups_Ozero__class_Ozero(_u10319)), _u10322)) )).
% 12.21/12.46 cnf(matrix-4950, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.21/12.46 cnf(matrix-4951, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10319), _u10322), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.21/12.46 cnf(matrix-4952, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10319) | ~class_Int_Onumber(_u10319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10319), _u10321), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322)), _u10321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), _u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), _u10322))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10319), _u10320)), c_Groups_Ozero__class_Ozero(_u10319))) )).
% 12.21/12.46 cnf(matrix-4953, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) )).
% 12.21/12.46 cnf(matrix-4954, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) )).
% 12.21/12.46 cnf(matrix-4955, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.21/12.46 cnf(matrix-4956, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.21/12.46 cnf(matrix-4957, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) )).
% 12.21/12.46 cnf(matrix-4958, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.21/12.46 cnf(matrix-4959, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), _u10325)) )).
% 12.21/12.46 cnf(matrix-4960, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.21/12.46 cnf(matrix-4961, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10323), _u10325), c_Groups_Ozero__class_Ozero(_u10323))) )).
% 12.21/12.46 cnf(matrix-4962, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10323) | ~class_Int_Onumber(_u10323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10323), _u10324), _u10325)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), _u10324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10323), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326)), _u10325)), _u10324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10323), c_Groups_Ozero__class_Ozero(_u10323)), hAPP(c_Int_Onumber__class_Onumber__of(_u10323), _u10326))) )).
% 12.21/12.46 cnf(matrix-4963, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) )).
% 12.21/12.46 cnf(matrix-4964, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) )).
% 12.21/12.46 cnf(matrix-4965, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.21/12.46 cnf(matrix-4966, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.21/12.46 cnf(matrix-4967, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) )).
% 12.21/12.46 cnf(matrix-4968, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.21/12.46 cnf(matrix-4969, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))) )).
% 12.21/12.46 cnf(matrix-4970, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.21/12.46 cnf(matrix-4971, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10327), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)), c_Groups_Ozero__class_Ozero(_u10327))) )).
% 12.21/12.46 cnf(matrix-4972, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10327) | ~class_Int_Onumber(_u10327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10327), _u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), _u10328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10327), _u10330), hAPP(c_Int_Onumber__class_Onumber__of(_u10327), _u10329))), _u10328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10327), c_Groups_Ozero__class_Ozero(_u10327)), _u10330)) )).
% 12.21/12.46 cnf(matrix-4973, plain, ( ~c_Equiv__Relations_Oequiv(_u10331, _u10332, _u10333) | ~hBOOL(hAPP(hAPP(c_member(_u10331), _u10334), _u10332)) | hBOOL(hAPP(hAPP(c_member(_u10331), _u10334), hAPP(c_Relation_OImage(_u10331, _u10331, _u10333), hAPP(hAPP(c_Set_Oinsert(_u10331), _u10334), c_Orderings_Obot__class_Obot(tc_fun(_u10331, tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-4974, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u10335, _u10336, _u10337)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u10337)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-4975, plain, ( ~c_Equiv__Relations_Oequiv(_u10338, _u10339, _u10340) | ~c_Equiv__Relations_Ocongruent(_u10338, tc_fun(_u10341, tc_HOL_Obool), _u10340, _u10342) | ~hBOOL(hAPP(hAPP(c_member(_u10338), _u10343), _u10339)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10338, tc_fun(_u10341, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10338, _u10338, _u10340), hAPP(hAPP(c_Set_Oinsert(_u10338), _u10343), c_Orderings_Obot__class_Obot(tc_fun(_u10338, tc_HOL_Obool))))), _u10342) = hAPP(_u10342, _u10343)) )).
% 12.21/12.46 cnf(matrix-4976, plain, ( ~c_Equiv__Relations_Oequiv(_u10344, _u10345, _u10346) | ~c_Equiv__Relations_Oequiv(_u10347, _u10348, _u10349) | ~c_Equiv__Relations_Ocongruent2(_u10344, _u10347, tc_fun(_u10350, tc_HOL_Obool), _u10346, _u10349, _u10351) | ~hBOOL(hAPP(hAPP(c_member(_u10344), _u10352), _u10345)) | ~hBOOL(hAPP(hAPP(c_member(_u10347), _u10353), _u10348)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10344, tc_fun(_u10350, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10344, _u10344, _u10346), hAPP(hAPP(c_Set_Oinsert(_u10344), _u10352), c_Orderings_Obot__class_Obot(tc_fun(_u10344, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u10347, tc_fun(_u10350, tc_HOL_Obool)), tc_fun(_u10350, tc_HOL_Obool), _u10344), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10347, tc_fun(_u10350, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10347, _u10347, _u10349), hAPP(hAPP(c_Set_Oinsert(_u10347), _u10353), c_Orderings_Obot__class_Obot(tc_fun(_u10347, tc_HOL_Obool)))))), _u10351)) = hAPP(hAPP(_u10351, _u10352), _u10353)) )).
% 12.21/12.46 cnf(matrix-4977, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10355))) | ( 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), _u10355)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-4978, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10356))) | ( 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), _u10356)) = 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), _u10356)))) )).
% 12.21/12.46 cnf(matrix-4979, 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), _u10357)) = 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), _u10357)))) )).
% 12.21/12.46 cnf(matrix-4980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10360)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10360), _u10362)) )).
% 12.21/12.46 cnf(matrix-4981, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10361), _u10363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10361)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10363))) )).
% 12.21/12.46 cnf(matrix-4982, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10364)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10364))) )).
% 12.21/12.46 cnf(matrix-4983, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10365) = _u10365) )).
% 12.21/12.46 cnf(matrix-4984, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10366)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10367)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10366), _u10367))) )).
% 12.21/12.46 cnf(matrix-4985, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10368)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10369)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10368), _u10369))) )).
% 12.21/12.46 cnf(matrix-4986, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10372)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10374))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10372), _u10374)) )).
% 12.21/12.46 cnf(matrix-4987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10373), _u10375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10373)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10375))) )).
% 12.21/12.46 cnf(matrix-4988, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u10376)) )).
% 12.21/12.46 cnf(matrix-4989, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10377) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10377))) )).
% 12.21/12.46 cnf(matrix-4990, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10378)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10378)) )).
% 12.21/12.46 cnf(matrix-4991, plain, ( ~c_Equiv__Relations_Oequiv(_u10379, _u10380, _u10381) | ~c_Equiv__Relations_Ocongruent2(_u10379, _u10382, _u10383, _u10381, _u10384, _u10385) | ~hBOOL(hAPP(hAPP(c_member(_u10379), _u10386), _u10380)) | c_Equiv__Relations_Ocongruent(_u10382, _u10383, _u10384, hAPP(_u10385, _u10386)) )).
% 12.21/12.46 cnf(matrix-4992, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10387)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10388)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10387), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10388)))) )).
% 12.21/12.46 cnf(matrix-4993, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10389))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10389) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4994, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10392) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10394)) | ( _u10392 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10394))) )).
% 12.21/12.46 cnf(matrix-4995, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10392) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10394)) | 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), _u10394))) )).
% 12.21/12.46 cnf(matrix-4996, plain, ( ( _u10393 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10395))) | ~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), _u10395))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10393) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10395)) )).
% 12.21/12.46 cnf(matrix-4997, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10398) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10400)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10400)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4998, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10398) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10400)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10398))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10400))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10398) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4999, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10398) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10400)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10398))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10400))) | ( _u10398 = _u10400) )).
% 12.21/12.46 cnf(matrix-5000, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401))) | ( _u10399 != _u10401) )).
% 12.21/12.46 cnf(matrix-5001, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401))) )).
% 12.21/12.46 cnf(matrix-5002, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10399 != _u10401) )).
% 12.21/12.46 cnf(matrix-5003, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399))) )).
% 12.21/12.46 cnf(matrix-5004, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401))) | ( _u10399 != _u10401) )).
% 12.21/12.46 cnf(matrix-5005, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401))) )).
% 12.21/12.46 cnf(matrix-5006, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10401)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10399) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10399 != _u10401) )).
% 12.21/12.46 cnf(matrix-5007, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10405))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10405)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10407)), _u10409)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10407)), _u10409)) )).
% 12.21/12.46 cnf(matrix-5008, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10406))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10408))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10406)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10408)), _u10410)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10406)), _u10410)) )).
% 12.21/12.46 cnf(matrix-5009, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10406))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10408))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10406)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10408)), _u10410)) = 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), _u10406), _u10408))), _u10410)) )).
% 12.21/12.46 cnf(matrix-5010, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10412))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10412)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5011, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10413))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10413)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10413)) )).
% 12.21/12.46 cnf(matrix-5012, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10416))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10416), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10418)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5013, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10417))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10419))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10417), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10419)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10417)) )).
% 12.21/12.46 cnf(matrix-5014, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10417))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10419))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10417), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10419)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10417), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10419)))) )).
% 12.21/12.46 cnf(matrix-5015, plain, ( ~c_Equiv__Relations_Oequiv(_u10420, _u10421, _u10422) | ~c_Equiv__Relations_Oequiv(_u10423, _u10424, _u10425) | ~c_Equiv__Relations_Ocongruent2(_u10420, _u10423, tc_fun(_u10426, tc_HOL_Obool), _u10422, _u10425, _u10427) | ~hBOOL(hAPP(hAPP(c_member(_u10423), _u10428), _u10424)) | c_Equiv__Relations_Ocongruent(_u10420, tc_fun(_u10426, tc_HOL_Obool), _u10422, hAPP(hAPP(c_COMBB(tc_fun(_u10423, tc_fun(_u10426, tc_HOL_Obool)), tc_fun(_u10426, tc_HOL_Obool), _u10420), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10423, tc_fun(_u10426, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10423, _u10423, _u10425), hAPP(hAPP(c_Set_Oinsert(_u10423), _u10428), c_Orderings_Obot__class_Obot(tc_fun(_u10423, tc_HOL_Obool)))))), _u10427)) )).
% 12.21/12.46 cnf(matrix-5016, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10431))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10431)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10433)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5017, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10432))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10432)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10434)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10432)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10434)))) )).
% 12.21/12.46 cnf(matrix-5018, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10437))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10437)), _u10439) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10439)) )).
% 12.21/12.46 cnf(matrix-5019, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10438))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10438)), _u10440) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10438)), _u10440))) )).
% 12.21/12.46 cnf(matrix-5020, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10443))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10443)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10445)) = 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), _u10445))) )).
% 12.21/12.46 cnf(matrix-5021, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10444))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10444)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10446)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10444)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10446)))) )).
% 12.21/12.46 cnf(matrix-5022, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10449))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10449)), _u10451)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10451)) )).
% 12.21/12.46 cnf(matrix-5023, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10450))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10450)), _u10452)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10450))), _u10452)) )).
% 12.21/12.46 cnf(matrix-5024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10455), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10457)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10455)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10457)) )).
% 12.21/12.46 cnf(matrix-5025, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10456), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10458)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10456)) = 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), _u10458), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10456)))), 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))) )).
% 12.21/12.46 cnf(matrix-5026, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10459)), hAPP(c_Nat_OSuc, _u10460)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10459))), 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)), _u10460))))) )).
% 12.21/12.46 cnf(matrix-5027, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10461)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10462)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10462))), 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), _u10461)), c_Int_Onat))))) )).
% 12.21/12.46 cnf(matrix-5028, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5029, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10463), c_Int_OPls) = _u10463) )).
% 12.21/12.46 cnf(matrix-5030, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.21/12.46 cnf(matrix-5031, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10464), c_Int_OPls) = _u10464) )).
% 12.21/12.46 cnf(matrix-5032, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u10465) = _u10465) )).
% 12.21/12.46 cnf(matrix-5033, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u10466) = c_Int_OPls) )).
% 12.21/12.46 cnf(matrix-5034, plain, ( ( c_Int_Osucc(c_Int_Opred(_u10467)) = _u10467) )).
% 12.21/12.46 cnf(matrix-5035, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5036, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5037, plain, ( ~class_Int_Onumber__ring(_u10468) | ( c_Groups_Ozero__class_Ozero(_u10468) = hAPP(c_Int_Onumber__class_Onumber__of(_u10468), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5038, plain, ( ~class_Int_Onumber__ring(_u10469) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10469), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u10469)) )).
% 12.21/12.46 cnf(matrix-5039, plain, ( ~class_Int_Onumber__ring(_u10470) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10470), hAPP(c_Int_Onumber__class_Onumber__of(_u10470), c_Int_OPls)), _u10471) = _u10471) )).
% 12.21/12.46 cnf(matrix-5040, plain, ( ~class_Int_Onumber__ring(_u10472) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10472), _u10473), hAPP(c_Int_Onumber__class_Onumber__of(_u10472), c_Int_OPls)) = _u10473) )).
% 12.21/12.46 cnf(matrix-5041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5042, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5043, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5044, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5045, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10474)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10475)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10474)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10475), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10474)))) )).
% 12.21/12.46 cnf(matrix-5046, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.21/12.46 cnf(matrix-5047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10477), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10477)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5048, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10478), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10478)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10478))) )).
% 12.21/12.46 cnf(matrix-5049, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10480), 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), _u10480)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5050, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10481), 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), _u10481)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10481))) )).
% 12.21/12.46 cnf(matrix-5051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10484), _u10486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10484)), _u10486)) )).
% 12.21/12.46 cnf(matrix-5052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10485)), _u10487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10485), _u10487)) )).
% 12.21/12.46 cnf(matrix-5053, plain, ( ( c_Int_Opred(_u10488) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10488), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10490), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10490)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5055, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10491), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10491)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10491))) )).
% 12.21/12.46 cnf(matrix-5056, plain, ( ~class_Fields_Ofield__inverse__zero(_u10492) | ~class_Int_Onumber__ring(_u10492) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10492), _u10493), hAPP(c_Int_Onumber__class_Onumber__of(_u10492), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u10492)) )).
% 12.21/12.46 cnf(matrix-5057, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10495) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10495), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5058, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10496), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10496) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5059, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10498), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5060, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10499), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10499)) )).
% 12.21/12.46 cnf(matrix-5061, 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))) )).
% 12.21/12.46 cnf(matrix-5062, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10502)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10504))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10502), _u10504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10504)) )).
% 12.21/12.46 cnf(matrix-5063, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10502)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10504))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10502), _u10504)) )).
% 12.21/12.46 cnf(matrix-5064, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10503)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10505))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10503), _u10505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10505)) )).
% 12.21/12.46 cnf(matrix-5065, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10508)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10508), _u10510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10508), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5066, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10509)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10511))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10509), _u10511)) )).
% 12.21/12.46 cnf(matrix-5067, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10509)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10511))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10509), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5068, plain, ( ( c_Int_Osucc(_u10512) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10512), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5069, plain, ( ~class_Int_Onumber__ring(_u10513) | ~class_Rings_Olinordered__idom(_u10513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10513), c_Groups_Ozero__class_Ozero(_u10513)), hAPP(c_Int_Onumber__class_Onumber__of(_u10513), _u10514))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10514)) )).
% 12.21/12.46 cnf(matrix-5070, plain, ( ~class_Int_Onumber__ring(_u10513) | ~class_Rings_Olinordered__idom(_u10513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10513), c_Groups_Ozero__class_Ozero(_u10513)), hAPP(c_Int_Onumber__class_Onumber__of(_u10513), _u10514))) )).
% 12.21/12.46 cnf(matrix-5071, plain, ( ~class_Int_Onumber__ring(_u10515) | ~class_Rings_Olinordered__idom(_u10515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10515), hAPP(c_Int_Onumber__class_Onumber__of(_u10515), _u10516)), c_Groups_Ozero__class_Ozero(_u10515))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10516), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5072, plain, ( ~class_Int_Onumber__ring(_u10515) | ~class_Rings_Olinordered__idom(_u10515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10516), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10515), hAPP(c_Int_Onumber__class_Onumber__of(_u10515), _u10516)), c_Groups_Ozero__class_Ozero(_u10515))) )).
% 12.21/12.46 cnf(matrix-5073, plain, ( ~class_Int_Onumber__ring(_u10517) | ~class_Rings_Olinordered__idom(_u10517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10517), hAPP(c_Int_Onumber__class_Onumber__of(_u10517), _u10518)), c_Groups_Ozero__class_Ozero(_u10517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10518), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5074, plain, ( ~class_Int_Onumber__ring(_u10517) | ~class_Rings_Olinordered__idom(_u10517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10518), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10517), hAPP(c_Int_Onumber__class_Onumber__of(_u10517), _u10518)), c_Groups_Ozero__class_Ozero(_u10517))) )).
% 12.21/12.46 cnf(matrix-5075, plain, ( ~class_Int_Onumber__ring(_u10519) | ~class_Rings_Olinordered__idom(_u10519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10519), c_Groups_Ozero__class_Ozero(_u10519)), hAPP(c_Int_Onumber__class_Onumber__of(_u10519), _u10520))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10520)) )).
% 12.21/12.46 cnf(matrix-5076, plain, ( ~class_Int_Onumber__ring(_u10519) | ~class_Rings_Olinordered__idom(_u10519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10519), c_Groups_Ozero__class_Ozero(_u10519)), hAPP(c_Int_Onumber__class_Onumber__of(_u10519), _u10520))) )).
% 12.21/12.46 cnf(matrix-5077, 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), _u10522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10522)) )).
% 12.21/12.46 cnf(matrix-5078, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10523)) | 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), _u10523))) )).
% 12.21/12.46 cnf(matrix-5079, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10526), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10526)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10528)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10528)) )).
% 12.21/12.46 cnf(matrix-5080, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10527), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10529), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10527)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10529)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10527)) )).
% 12.21/12.46 cnf(matrix-5081, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10527), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10529), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10527)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10529)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10527), _u10529))) )).
% 12.21/12.46 cnf(matrix-5082, plain, ( ~class_Int_Onumber__ring(_u10530) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10530), c_Int_Osucc(_u10531)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10530), c_Groups_Oone__class_Oone(_u10530)), hAPP(c_Int_Onumber__class_Onumber__of(_u10530), _u10531))) )).
% 12.21/12.46 cnf(matrix-5083, plain, ( ~class_Int_Onumber__ring(_u10532) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10532), c_Int_Opred(_u10533)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10532), hAPP(c_Groups_Ouminus__class_Ouminus(_u10532), c_Groups_Oone__class_Oone(_u10532))), hAPP(c_Int_Onumber__class_Onumber__of(_u10532), _u10533))) )).
% 12.21/12.46 cnf(matrix-5084, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10536), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10536)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10538)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5085, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10537), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10537)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10539)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10537), _u10539))) )).
% 12.21/12.46 cnf(matrix-5086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10543), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10543)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10545)), _u10547)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5087, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10544), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10544)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10546)), _u10548)) = 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), _u10544), _u10546))), _u10548)) )).
% 12.21/12.46 cnf(matrix-5088, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10550)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10550) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5089, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10551) != 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(_u10551)))) )).
% 12.21/12.46 cnf(matrix-5090, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10554) != hAPP(c_Nat_OSuc, _u10556)) | 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(_u10554))), 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)), _u10556))))) )).
% 12.21/12.46 cnf(matrix-5091, 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(_u10555))), 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)), _u10557))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10555) = hAPP(c_Nat_OSuc, _u10557)) )).
% 12.21/12.46 cnf(matrix-5092, plain, ( ( hAPP(c_Nat_OSuc, _u10560) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10562)) | 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(_u10562))), 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)), _u10560))))) )).
% 12.21/12.46 cnf(matrix-5093, 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(_u10563))), 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)), _u10561))))) | ( hAPP(c_Nat_OSuc, _u10561) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10563)) )).
% 12.21/12.46 cnf(matrix-5094, plain, ( ( c_Nat_Onat_Onat__case(_u10564, _u10565, _u10566, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10567)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10564), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10567))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10564, _u10564), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10564, tc_fun(_u10564, _u10564)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10564, tc_fun(_u10564, _u10564)), tc_Int_Oint), c_If(_u10564)), c_Nat__Numeral_Oneg)), _u10565)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10564, tc_Int_Oint), _u10566), c_Int_Onat)))) )).
% 12.21/12.46 cnf(matrix-5095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10570)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10572))) | 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(_u10572))), 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), _u10570)), c_Int_Onat))))) )).
% 12.21/12.46 cnf(matrix-5096, 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(_u10573))), 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), _u10571)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10571)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10573))) )).
% 12.21/12.46 cnf(matrix-5097, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10576)), hAPP(c_Nat_OSuc, _u10578))) | 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(_u10576))), 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)), _u10578)))) )).
% 12.21/12.46 cnf(matrix-5098, 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(_u10577))), 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)), _u10579)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10577)), hAPP(c_Nat_OSuc, _u10579))) )).
% 12.21/12.46 cnf(matrix-5099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10582)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10584))) | 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(_u10584))), 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), _u10582)), c_Int_Onat))))) )).
% 12.21/12.46 cnf(matrix-5100, 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(_u10585))), 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), _u10583)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10583)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10585))) )).
% 12.21/12.46 cnf(matrix-5101, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10588)), hAPP(c_Nat_OSuc, _u10590))) | 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(_u10588))), 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)), _u10590)))) )).
% 12.21/12.46 cnf(matrix-5102, 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(_u10589))), 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)), _u10591)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10589)), hAPP(c_Nat_OSuc, _u10591))) )).
% 12.21/12.46 cnf(matrix-5103, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10593))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10593)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5104, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10594))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10594)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10594))) )).
% 12.21/12.46 cnf(matrix-5105, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10595)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10596)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10596))), 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, _u10595))), 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), _u10595)), c_Int_Onat))))) )).
% 12.21/12.46 cnf(matrix-5106, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10597)), hAPP(c_Nat_OSuc, _u10598)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10597))), 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, _u10598))), 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)), _u10598))))) )).
% 12.21/12.46 cnf(matrix-5107, plain, ( ( c_Nat_Onat_Onat__case(_u10599, _u10600, _u10601, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10602)), _u10603)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10599), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10602))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10599, _u10599), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10599, tc_fun(_u10599, _u10599)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10599, tc_fun(_u10599, _u10599)), tc_Int_Oint), c_If(_u10599)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u10599, _u10600, _u10601, _u10603))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10599, tc_Int_Oint), _u10601), 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)), _u10603))))) )).
% 12.21/12.46 cnf(matrix-5108, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10607)), _u10608)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10604), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10607))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10604, _u10604), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10604, tc_fun(_u10604, _u10604)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10604, tc_fun(_u10604, _u10604)), tc_Int_Oint), c_If(_u10604)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606), _u10608))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10604, _u10604), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10604, _u10604), tc_Int_Oint), _u10606), 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)), _u10608))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10604, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606)), 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)), _u10608)))))) )).
% 12.21/12.46 cnf(matrix-5109, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10609, _u10610, _u10611), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10612)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10609), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10612))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10609, _u10609), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10609, tc_fun(_u10609, _u10609)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10609, tc_fun(_u10609, _u10609)), tc_Int_Oint), c_If(_u10609)), c_Nat__Numeral_Oneg)), _u10610)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10609, _u10609), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10609, _u10609), tc_Int_Oint), _u10611), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10609, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10609, _u10610, _u10611)), c_Int_Onat))))) )).
% 12.21/12.46 cnf(matrix-5110, plain, ( ~c_Equiv__Relations_Oequiv(_u10615, _u10616, _u10617) | ~c_Equiv__Relations_Oequiv(_u10618, _u10619, _u10620) | ~c_Equiv__Relations_Ocongruent2(_u10615, _u10618, tc_fun(_u10621, tc_HOL_Obool), _u10617, _u10620, _u10622) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10615, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10615), _u10616), _u10617))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10618, tc_HOL_Obool)), _u10624), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10618), _u10619), _u10620))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10621, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10615, tc_fun(_u10621, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_COMBB(tc_fun(_u10618, tc_fun(_u10621, tc_HOL_Obool)), tc_fun(_u10621, tc_HOL_Obool), _u10615), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10618, tc_fun(_u10621, tc_HOL_Obool)), _u10624)), _u10622))), _u10625)) | hBOOL(hAPP(hAPP(c_member(_u10615), skolem267(_u10625, _u10624, _u10623, _u10622, _u10621, _u10620, _u10619, _u10618, _u10617, _u10616, _u10615)), _u10616)) )).
% 12.21/12.46 cnf(matrix-5111, plain, ( ~c_Equiv__Relations_Oequiv(_u10615, _u10616, _u10617) | ~c_Equiv__Relations_Oequiv(_u10618, _u10619, _u10620) | ~c_Equiv__Relations_Ocongruent2(_u10615, _u10618, tc_fun(_u10621, tc_HOL_Obool), _u10617, _u10620, _u10622) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10615, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10615), _u10616), _u10617))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10618, tc_HOL_Obool)), _u10624), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10618), _u10619), _u10620))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10621, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10615, tc_fun(_u10621, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_COMBB(tc_fun(_u10618, tc_fun(_u10621, tc_HOL_Obool)), tc_fun(_u10621, tc_HOL_Obool), _u10615), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10618, tc_fun(_u10621, tc_HOL_Obool)), _u10624)), _u10622))), _u10625)) | hBOOL(hAPP(hAPP(c_member(_u10618), skolem268(_u10625, _u10624, _u10623, _u10622, _u10621, _u10620, _u10619, _u10618, _u10617, _u10616, _u10615)), _u10619)) )).
% 12.21/12.46 cnf(matrix-5112, plain, ( ~c_Equiv__Relations_Oequiv(_u10615, _u10616, _u10617) | ~c_Equiv__Relations_Oequiv(_u10618, _u10619, _u10620) | ~c_Equiv__Relations_Ocongruent2(_u10615, _u10618, tc_fun(_u10621, tc_HOL_Obool), _u10617, _u10620, _u10622) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10615, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10615), _u10616), _u10617))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10618, tc_HOL_Obool)), _u10624), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10618), _u10619), _u10620))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10621, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10615, tc_fun(_u10621, tc_HOL_Obool)), _u10623), hAPP(hAPP(c_COMBB(tc_fun(_u10618, tc_fun(_u10621, tc_HOL_Obool)), tc_fun(_u10621, tc_HOL_Obool), _u10615), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10618, tc_fun(_u10621, tc_HOL_Obool)), _u10624)), _u10622))), _u10625)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10621, tc_HOL_Obool)), hAPP(hAPP(_u10622, skolem267(_u10625, _u10624, _u10623, _u10622, _u10621, _u10620, _u10619, _u10618, _u10617, _u10616, _u10615)), skolem268(_u10625, _u10624, _u10623, _u10622, _u10621, _u10620, _u10619, _u10618, _u10617, _u10616, _u10615))), _u10625)) )).
% 12.21/12.46 cnf(matrix-5113, plain, ( ~c_Equiv__Relations_Oequiv(_u10627, _u10628, _u10629) | ~c_Equiv__Relations_Ocongruent(_u10627, tc_fun(_u10630, tc_HOL_Obool), _u10629, _u10631) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10627, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10627), _u10628), _u10629))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10630, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10627, tc_fun(_u10630, tc_HOL_Obool)), _u10632), _u10631)), _u10633)) | hBOOL(hAPP(hAPP(c_member(_u10627), skolem269(_u10633, _u10632, _u10631, _u10630, _u10629, _u10628, _u10627)), _u10628)) )).
% 12.21/12.46 cnf(matrix-5114, plain, ( ~c_Equiv__Relations_Oequiv(_u10627, _u10628, _u10629) | ~c_Equiv__Relations_Ocongruent(_u10627, tc_fun(_u10630, tc_HOL_Obool), _u10629, _u10631) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10627, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10627), _u10628), _u10629))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10630, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10627, tc_fun(_u10630, tc_HOL_Obool)), _u10632), _u10631)), _u10633)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10630, tc_HOL_Obool)), hAPP(_u10631, skolem269(_u10633, _u10632, _u10631, _u10630, _u10629, _u10628, _u10627))), _u10633)) )).
% 12.21/12.46 cnf(matrix-5115, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10634, _u10635, _u10636), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10635) )).
% 12.21/12.46 cnf(matrix-5116, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10637, _u10638, _u10639), hAPP(c_Nat_OSuc, _u10640)) = hAPP(hAPP(_u10639, _u10640), hAPP(c_Nat_Onat_Onat__rec(_u10637, _u10638, _u10639), _u10640))) )).
% 12.21/12.46 cnf(matrix-5117, plain, ( ~class_Int_Onumber__ring(_u10641) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10641), _u10642) != c_Groups_Ozero__class_Ozero(_u10641)) | c_Int_Oiszero(_u10641, hAPP(c_Int_Onumber__class_Onumber__of(_u10641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10642), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.21/12.46 cnf(matrix-5118, plain, ( ~class_Int_Onumber__ring(_u10641) | ~c_Int_Oiszero(_u10641, hAPP(c_Int_Onumber__class_Onumber__of(_u10641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10642), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10641), _u10642) = c_Groups_Ozero__class_Ozero(_u10641)) )).
% 12.21/12.46 cnf(matrix-5119, plain, ( ~class_Int_Onumber__ring(_u10643) | ( c_Groups_Ozero__class_Ozero(_u10643) != hAPP(c_Int_Onumber__class_Onumber__of(_u10643), _u10644)) | c_Int_Oiszero(_u10643, hAPP(c_Int_Onumber__class_Onumber__of(_u10643), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10644)))) )).
% 12.21/12.46 cnf(matrix-5120, plain, ( ~class_Int_Onumber__ring(_u10643) | ~c_Int_Oiszero(_u10643, hAPP(c_Int_Onumber__class_Onumber__of(_u10643), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10644)))) | ( c_Groups_Ozero__class_Ozero(_u10643) = hAPP(c_Int_Onumber__class_Onumber__of(_u10643), _u10644)) )).
% 12.21/12.46 cnf(matrix-5121, plain, ( ~class_Int_Onumber__ring(_u10645) | ~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), _u10646))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10645), hAPP(c_Int_Onumber__class_Onumber__of(_u10645), _u10647)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10646))) = hAPP(hAPP(c_HOL_OLet(_u10645, _u10645), hAPP(hAPP(c_Power_Opower__class_Opower(_u10645), hAPP(c_Int_Onumber__class_Onumber__of(_u10645), _u10647)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10646))), hAPP(hAPP(c_COMBS(_u10645, _u10645, _u10645), hAPP(hAPP(c_COMBB(_u10645, tc_fun(_u10645, _u10645), _u10645), c_Groups_Otimes__class_Otimes(_u10645)), hAPP(c_Groups_Otimes__class_Otimes(_u10645), hAPP(c_Int_Onumber__class_Onumber__of(_u10645), _u10647)))), c_COMBI(_u10645)))) )).
% 12.21/12.46 cnf(matrix-5122, plain, ( ~class_Int_Onumber__ring(_u10645) | 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), _u10646))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10645), hAPP(c_Int_Onumber__class_Onumber__of(_u10645), _u10647)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10646))) = c_Groups_Oone__class_Oone(_u10645)) )).
% 12.21/12.46 cnf(matrix-5123, 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), _u10650))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10650))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10650))), 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), _u10652))), c_COMBI(tc_Int_Oint)))) )).
% 12.21/12.46 cnf(matrix-5124, 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), _u10651))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10653), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10651))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5125, plain, ( ~class_Int_Onumber__ring(_u10654) | ~class_Int_Oring__char__0(_u10654) | ~c_Int_Oiszero(_u10654, hAPP(c_Int_Onumber__class_Onumber__of(_u10654), c_Int_OBit1(_u10655))) )).
% 12.21/12.46 cnf(matrix-5126, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10658)), c_Int_OBit1(_u10660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10658), _u10660)) )).
% 12.21/12.46 cnf(matrix-5127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10659), _u10661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10659)), c_Int_OBit1(_u10661))) )).
% 12.21/12.46 cnf(matrix-5128, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10664)), c_Int_OBit1(_u10666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10664), _u10666)) )).
% 12.21/12.46 cnf(matrix-5129, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10665), _u10667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10665)), c_Int_OBit1(_u10667))) )).
% 12.21/12.46 cnf(matrix-5130, plain, ( ( c_Int_OBit1(_u10670) != c_Int_OBit1(_u10672)) | ( _u10670 = _u10672) )).
% 12.21/12.46 cnf(matrix-5131, plain, ( ( _u10671 != _u10673) | ( c_Int_OBit1(_u10671) = c_Int_OBit1(_u10673)) )).
% 12.21/12.46 cnf(matrix-5132, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10676)), c_Int_OBit1(_u10678))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10676), _u10678)) )).
% 12.21/12.46 cnf(matrix-5133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10677), _u10679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10677)), c_Int_OBit1(_u10679))) )).
% 12.21/12.46 cnf(matrix-5134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10682)), c_Int_OBit1(_u10684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10682), _u10684)) )).
% 12.21/12.46 cnf(matrix-5135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10683), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10683)), c_Int_OBit1(_u10685))) )).
% 12.21/12.46 cnf(matrix-5136, plain, ( ( c_Int_OBit1(_u10686) != c_Int_OPls) )).
% 12.21/12.46 cnf(matrix-5137, plain, ( ( c_Int_OPls != c_Int_OBit1(_u10687)) )).
% 12.21/12.46 cnf(matrix-5138, plain, ( ~class_Int_Onumber__ring(_u10688) | ~c_Int_Oiszero(_u10688, hAPP(c_Int_Onumber__class_Onumber__of(_u10688), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.46 cnf(matrix-5139, plain, ( ~class_Rings_Osemiring__1(_u10689) | c_Int_Oiszero(_u10689, c_Groups_Ozero__class_Ozero(_u10689)) )).
% 12.21/12.46 cnf(matrix-5140, plain, ( ~class_Rings_Osemiring__1(_u10690) | ~c_Int_Oiszero(_u10690, _u10691) | ( _u10691 = c_Groups_Ozero__class_Ozero(_u10690)) )).
% 12.21/12.46 cnf(matrix-5141, plain, ( ~class_Rings_Osemiring__1(_u10690) | ( _u10691 != c_Groups_Ozero__class_Ozero(_u10690)) | c_Int_Oiszero(_u10690, _u10691) )).
% 12.21/12.46 cnf(matrix-5142, plain, ( ~class_Rings_Osemiring__1(_u10692) | ~c_Int_Oiszero(_u10692, c_Groups_Oone__class_Oone(_u10692)) )).
% 12.21/12.46 cnf(matrix-5143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10694)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10694), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10695), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10695)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10697)) )).
% 12.21/12.46 cnf(matrix-5146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10698))) )).
% 12.21/12.46 cnf(matrix-5147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10700)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10700), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5148, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10701), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10701)), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5149, plain, ( ( c_Int_OBit1(_u10702) = 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)), _u10702)), _u10702)) )).
% 12.21/12.46 cnf(matrix-5150, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10704)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10704))) )).
% 12.21/12.46 cnf(matrix-5151, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10705))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10705)))) )).
% 12.21/12.46 cnf(matrix-5152, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u10706)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10706)))) )).
% 12.21/12.46 cnf(matrix-5153, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5154, plain, ( ~class_Int_Onumber__ring(_u10707) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10707), c_Int_OBit1(_u10708)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10707), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10707), c_Groups_Oone__class_Oone(_u10707)), hAPP(c_Int_Onumber__class_Onumber__of(_u10707), _u10708))), hAPP(c_Int_Onumber__class_Onumber__of(_u10707), _u10708))) )).
% 12.21/12.46 cnf(matrix-5155, plain, ( ~class_Int_Onumber__ring(_u10709) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10709), hAPP(c_Int_Onumber__class_Onumber__of(_u10709), c_Int_OBit1(c_Int_OPls))), _u10710) = _u10710) )).
% 12.21/12.46 cnf(matrix-5156, plain, ( ~class_Int_Onumber__ring(_u10711) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10711), _u10712), hAPP(c_Int_Onumber__class_Onumber__of(_u10711), c_Int_OBit1(c_Int_OPls))) = _u10712) )).
% 12.21/12.46 cnf(matrix-5157, plain, ( ~class_Int_Onumber__ring(_u10713) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10713), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u10713)) )).
% 12.21/12.46 cnf(matrix-5158, plain, ( ~class_Int_Onumber__ring(_u10714) | ( c_Groups_Oone__class_Oone(_u10714) = hAPP(c_Int_Onumber__class_Onumber__of(_u10714), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.46 cnf(matrix-5159, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10716)) )).
% 12.21/12.46 cnf(matrix-5160, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10717))) )).
% 12.21/12.46 cnf(matrix-5161, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10719)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10719), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5162, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10720), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10720)), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5163, plain, ( ~class_Fields_Ofield(_u10721) | ~class_Int_Onumber__ring(_u10721) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10721), _u10722), hAPP(c_Int_Onumber__class_Onumber__of(_u10721), c_Int_OBit1(c_Int_OPls))) = _u10722) )).
% 12.21/12.46 cnf(matrix-5164, plain, ( ~class_Fields_Ofield(_u10723) | ~class_Int_Onumber__ring(_u10723) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10723), _u10724), hAPP(c_Int_Onumber__class_Onumber__of(_u10723), c_Int_OBit1(c_Int_OPls))) = _u10724) )).
% 12.21/12.46 cnf(matrix-5165, plain, ( ~class_Int_Onumber__ring(_u10725) | ( c_Groups_Oone__class_Oone(_u10725) != hAPP(c_Int_Onumber__class_Onumber__of(_u10725), _u10726)) | c_Int_Oiszero(_u10725, hAPP(c_Int_Onumber__class_Onumber__of(_u10725), 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), _u10726)))) )).
% 12.21/12.46 cnf(matrix-5166, plain, ( ~class_Int_Onumber__ring(_u10725) | ~c_Int_Oiszero(_u10725, hAPP(c_Int_Onumber__class_Onumber__of(_u10725), 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), _u10726)))) | ( c_Groups_Oone__class_Oone(_u10725) = hAPP(c_Int_Onumber__class_Onumber__of(_u10725), _u10726)) )).
% 12.21/12.46 cnf(matrix-5167, plain, ( ~class_Int_Onumber__ring(_u10727) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10727), _u10728) != c_Groups_Oone__class_Oone(_u10727)) | c_Int_Oiszero(_u10727, hAPP(c_Int_Onumber__class_Onumber__of(_u10727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10728), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5168, plain, ( ~class_Int_Onumber__ring(_u10727) | ~c_Int_Oiszero(_u10727, hAPP(c_Int_Onumber__class_Onumber__of(_u10727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10728), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10727), _u10728) = c_Groups_Oone__class_Oone(_u10727)) )).
% 12.21/12.46 cnf(matrix-5169, 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))) )).
% 12.21/12.46 cnf(matrix-5170, 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)) )).
% 12.21/12.46 cnf(matrix-5171, 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))) )).
% 12.21/12.46 cnf(matrix-5172, 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)))) )).
% 12.21/12.46 cnf(matrix-5173, plain, ( ~class_Int_Onumber__ring(_u10729) | c_Int_Oiszero(_u10729, hAPP(c_Int_Onumber__class_Onumber__of(_u10729), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5174, 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))))) )).
% 12.21/12.46 cnf(matrix-5175, 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))) )).
% 12.21/12.46 cnf(matrix-5176, plain, ( ~class_Groups_Omonoid__mult(_u10730) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10730), _u10731), 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(_u10730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10730), _u10731), _u10731)), _u10731)) )).
% 12.21/12.46 cnf(matrix-5177, 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))))) )).
% 12.21/12.46 cnf(matrix-5178, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10732))) = 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)))), _u10732)) )).
% 12.21/12.46 cnf(matrix-5179, 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))))) )).
% 12.21/12.46 cnf(matrix-5180, 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))))) )).
% 12.21/12.46 cnf(matrix-5181, plain, ( ~class_Int_Onumber__ring(_u10733) | ~class_Rings_Olinordered__idom(_u10733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10733), c_Groups_Oone__class_Oone(_u10733)), hAPP(c_Int_Onumber__class_Onumber__of(_u10733), _u10734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10734)) )).
% 12.21/12.46 cnf(matrix-5182, plain, ( ~class_Int_Onumber__ring(_u10733) | ~class_Rings_Olinordered__idom(_u10733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10734)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10733), c_Groups_Oone__class_Oone(_u10733)), hAPP(c_Int_Onumber__class_Onumber__of(_u10733), _u10734))) )).
% 12.21/12.46 cnf(matrix-5183, plain, ( ~class_Int_Onumber__ring(_u10735) | ~class_Rings_Olinordered__idom(_u10735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10735), hAPP(c_Int_Onumber__class_Onumber__of(_u10735), _u10736)), c_Groups_Oone__class_Oone(_u10735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10736), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.46 cnf(matrix-5184, plain, ( ~class_Int_Onumber__ring(_u10735) | ~class_Rings_Olinordered__idom(_u10735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10736), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10735), hAPP(c_Int_Onumber__class_Onumber__of(_u10735), _u10736)), c_Groups_Oone__class_Oone(_u10735))) )).
% 12.21/12.46 cnf(matrix-5185, plain, ( ~class_Int_Onumber__ring(_u10737) | ~class_Rings_Olinordered__idom(_u10737) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10737), hAPP(c_Int_Onumber__class_Onumber__of(_u10737), _u10738)), c_Groups_Oone__class_Oone(_u10737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10738), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.46 cnf(matrix-5186, plain, ( ~class_Int_Onumber__ring(_u10737) | ~class_Rings_Olinordered__idom(_u10737) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10738), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10737), hAPP(c_Int_Onumber__class_Onumber__of(_u10737), _u10738)), c_Groups_Oone__class_Oone(_u10737))) )).
% 12.21/12.46 cnf(matrix-5187, plain, ( ~class_Int_Onumber__ring(_u10739) | ~class_Rings_Olinordered__idom(_u10739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10739), c_Groups_Oone__class_Oone(_u10739)), hAPP(c_Int_Onumber__class_Onumber__of(_u10739), _u10740))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10740)) )).
% 12.21/12.46 cnf(matrix-5188, plain, ( ~class_Int_Onumber__ring(_u10739) | ~class_Rings_Olinordered__idom(_u10739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10739), c_Groups_Oone__class_Oone(_u10739)), hAPP(c_Int_Onumber__class_Onumber__of(_u10739), _u10740))) )).
% 12.21/12.46 cnf(matrix-5189, plain, ( ~class_Int_Onumber__ring(_u10741) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10741), c_Groups_Oone__class_Oone(_u10741)), hAPP(c_Int_Onumber__class_Onumber__of(_u10741), _u10742)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10742))) )).
% 12.21/12.46 cnf(matrix-5190, plain, ( ~class_Int_Onumber__ring(_u10743) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10743), hAPP(c_Int_Onumber__class_Onumber__of(_u10743), _u10744)), c_Groups_Oone__class_Oone(_u10743)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10743), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10744), c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.46 cnf(matrix-5191, 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)), _u10745)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10746)), _u10745) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10746), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10745), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5192, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10747))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10748)) = 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)))), _u10747), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10748))) )).
% 12.21/12.46 cnf(matrix-5193, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10749))), _u10750) = 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)))), _u10749), _u10750)) )).
% 12.21/12.46 cnf(matrix-5194, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10751, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10752)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10751, 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)))), _u10752))) )).
% 12.21/12.46 cnf(matrix-5195, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10753)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10754)) = 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)))), _u10753)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10754))) )).
% 12.21/12.46 cnf(matrix-5196, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10755)))), _u10756) = 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)))), _u10755)), _u10756)) )).
% 12.21/12.46 cnf(matrix-5197, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10757), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10758)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10757), 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)))), _u10758))) )).
% 12.21/12.46 cnf(matrix-5198, plain, ( ~class_Int_Onumber__ring(_u10759) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10759), _u10760) != hAPP(c_Int_Onumber__class_Onumber__of(_u10759), _u10761)) | c_Int_Oiszero(_u10759, hAPP(c_Int_Onumber__class_Onumber__of(_u10759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10760), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10761)))) )).
% 12.21/12.46 cnf(matrix-5199, plain, ( ~class_Int_Onumber__ring(_u10759) | ~c_Int_Oiszero(_u10759, hAPP(c_Int_Onumber__class_Onumber__of(_u10759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10760), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10761)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10759), _u10760) = hAPP(c_Int_Onumber__class_Onumber__of(_u10759), _u10761)) )).
% 12.21/12.46 cnf(matrix-5200, plain, ( ~class_Int_Onumber__ring(_u10762) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10762), c_Groups_Oone__class_Oone(_u10762)), hAPP(c_Int_Onumber__class_Onumber__of(_u10762), _u10763)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10762), 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), _u10763)))) )).
% 12.21/12.46 cnf(matrix-5201, plain, ( ~class_Int_Onumber__ring(_u10764) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10764), hAPP(c_Int_Onumber__class_Onumber__of(_u10764), _u10765)), c_Groups_Oone__class_Oone(_u10764)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10764), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10765), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5202, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10767))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10767)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5203, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10768))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10768)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10768)), 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))))) )).
% 12.21/12.46 cnf(matrix-5204, plain, ( ~class_Int_Onumber__ring(_u10769) | ~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), _u10770))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10769), _u10771), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10770))) = hAPP(hAPP(c_HOL_OLet(_u10769, _u10769), hAPP(hAPP(c_Power_Opower__class_Opower(_u10769), _u10771), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10770))), hAPP(hAPP(c_COMBS(_u10769, _u10769, _u10769), hAPP(hAPP(c_COMBB(_u10769, tc_fun(_u10769, _u10769), _u10769), c_Groups_Otimes__class_Otimes(_u10769)), hAPP(c_Groups_Otimes__class_Otimes(_u10769), _u10771))), c_COMBI(_u10769)))) )).
% 12.21/12.46 cnf(matrix-5205, plain, ( ~class_Int_Onumber__ring(_u10769) | 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), _u10770))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10769), _u10771), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10770))) = c_Groups_Oone__class_Oone(_u10769)) )).
% 12.21/12.46 cnf(matrix-5206, 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), _u10774))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10776)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10774))) = 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), _u10776), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10774)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5207, 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), _u10775))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10777)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10775))) = 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), _u10777)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10778), 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)))), _u10779)), 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)))), _u10778)) = 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), _u10779), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10778))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5209, 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), _u10780)), 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))), _u10781))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10782))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10782)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10780), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10780), 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), _u10782), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u10781))))) )).
% 12.21/12.46 cnf(matrix-5210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10783)) | ( 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)))), _u10784))), 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)))), _u10783)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10784), _u10783)) )).
% 12.21/12.46 cnf(matrix-5211, plain, ( ( c_Int_OBit0(_u10785) != c_Int_OBit1(_u10786)) )).
% 12.21/12.46 cnf(matrix-5212, plain, ( ( c_Int_OBit1(_u10787) != c_Int_OBit0(_u10788)) )).
% 12.21/12.46 cnf(matrix-5213, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.21/12.46 cnf(matrix-5214, plain, ( ( c_Int_OPls != c_Int_OBit0(_u10790)) | ( c_Int_OPls = _u10790) )).
% 12.21/12.46 cnf(matrix-5215, plain, ( ( c_Int_OPls != _u10791) | ( c_Int_OPls = c_Int_OBit0(_u10791)) )).
% 12.21/12.46 cnf(matrix-5216, plain, ( ( c_Int_OBit0(_u10793) != c_Int_OPls) | ( _u10793 = c_Int_OPls) )).
% 12.21/12.46 cnf(matrix-5217, plain, ( ( _u10794 != c_Int_OPls) | ( c_Int_OBit0(_u10794) = c_Int_OPls) )).
% 12.21/12.46 cnf(matrix-5218, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u10795)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10795))) )).
% 12.21/12.46 cnf(matrix-5219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10798)), c_Int_OBit0(_u10800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10798), _u10800)) )).
% 12.21/12.46 cnf(matrix-5220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10799), _u10801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10799)), c_Int_OBit0(_u10801))) )).
% 12.21/12.46 cnf(matrix-5221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10804)), c_Int_OBit0(_u10806))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10804), _u10806)) )).
% 12.21/12.46 cnf(matrix-5222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10805), _u10807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10805)), c_Int_OBit0(_u10807))) )).
% 12.21/12.46 cnf(matrix-5223, plain, ( ( c_Int_OBit0(_u10808) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10808), _u10808)) )).
% 12.21/12.46 cnf(matrix-5224, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u10809)), c_Int_OBit0(_u10810)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10809), _u10810))) )).
% 12.21/12.46 cnf(matrix-5225, plain, ( ( c_Int_OBit0(_u10813) != c_Int_OBit0(_u10815)) | ( _u10813 = _u10815) )).
% 12.21/12.46 cnf(matrix-5226, plain, ( ( _u10814 != _u10816) | ( c_Int_OBit0(_u10814) = c_Int_OBit0(_u10816)) )).
% 12.21/12.46 cnf(matrix-5227, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u10817)), _u10818) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10817), _u10818))) )).
% 12.21/12.46 cnf(matrix-5228, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u10819)), c_Int_OBit0(_u10820)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10819), _u10820))) )).
% 12.21/12.46 cnf(matrix-5229, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10823)), c_Int_OBit0(_u10825))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10823), _u10825)) )).
% 12.21/12.46 cnf(matrix-5230, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10824), _u10826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10824)), c_Int_OBit0(_u10826))) )).
% 12.21/12.46 cnf(matrix-5231, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10829)), c_Int_OBit0(_u10831))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10829), _u10831)) )).
% 12.21/12.46 cnf(matrix-5232, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10830), _u10832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10830)), c_Int_OBit0(_u10832))) )).
% 12.21/12.46 cnf(matrix-5233, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10834)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10834), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5234, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10835), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10835)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5235, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10837))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10837)) )).
% 12.21/12.46 cnf(matrix-5236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10838))) )).
% 12.21/12.46 cnf(matrix-5237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10840)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10840), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5238, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10841), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10841)), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5239, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10844)), c_Int_OBit1(_u10846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10844), _u10846)) )).
% 12.21/12.46 cnf(matrix-5240, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10845), _u10847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10845)), c_Int_OBit1(_u10847))) )).
% 12.21/12.46 cnf(matrix-5241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10850)), c_Int_OBit1(_u10852))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10850), _u10852)) )).
% 12.21/12.46 cnf(matrix-5242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10851), _u10853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10851)), c_Int_OBit1(_u10853))) )).
% 12.21/12.46 cnf(matrix-5243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10855)) )).
% 12.21/12.46 cnf(matrix-5244, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10856))) )).
% 12.21/12.46 cnf(matrix-5245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10858)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10858), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10859), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10859)), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10862)), c_Int_OBit0(_u10864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10862), _u10864)) )).
% 12.21/12.46 cnf(matrix-5248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10863), _u10865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10863)), c_Int_OBit0(_u10865))) )).
% 12.21/12.46 cnf(matrix-5249, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10868)), c_Int_OBit0(_u10870))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10868), _u10870)) )).
% 12.21/12.46 cnf(matrix-5250, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10869), _u10871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10869)), c_Int_OBit0(_u10871))) )).
% 12.21/12.46 cnf(matrix-5251, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u10872)), c_Int_OBit1(_u10873)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10872), _u10873))) )).
% 12.21/12.46 cnf(matrix-5252, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u10874)), c_Int_OBit0(_u10875)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10874), _u10875))) )).
% 12.21/12.46 cnf(matrix-5253, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10876)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u10876))) )).
% 12.21/12.46 cnf(matrix-5254, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u10877)), c_Int_OBit1(_u10878)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10877), _u10878))) )).
% 12.21/12.46 cnf(matrix-5255, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u10879)), c_Int_OBit0(_u10880)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10879), _u10880))) )).
% 12.21/12.46 cnf(matrix-5256, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10881))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10882))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10881)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10882))) )).
% 12.21/12.46 cnf(matrix-5257, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10884)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10884))) )).
% 12.21/12.46 cnf(matrix-5258, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10885))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10885)))) )).
% 12.21/12.46 cnf(matrix-5259, plain, ( ( c_Int_Opred(c_Int_OBit1(_u10886)) = c_Int_OBit0(_u10886)) )).
% 12.21/12.46 cnf(matrix-5260, plain, ( ( c_Int_Opred(c_Int_OBit0(_u10887)) = c_Int_OBit1(c_Int_Opred(_u10887))) )).
% 12.21/12.46 cnf(matrix-5261, plain, ( ~class_Int_Onumber__ring(_u10888) | ~class_Int_Oring__char__0(_u10888) | ~c_Int_Oiszero(_u10888, hAPP(c_Int_Onumber__class_Onumber__of(_u10888), c_Int_OBit0(_u10889))) | c_Int_Oiszero(_u10888, hAPP(c_Int_Onumber__class_Onumber__of(_u10888), _u10889)) )).
% 12.21/12.46 cnf(matrix-5262, plain, ( ~class_Int_Onumber__ring(_u10888) | ~class_Int_Oring__char__0(_u10888) | ~c_Int_Oiszero(_u10888, hAPP(c_Int_Onumber__class_Onumber__of(_u10888), _u10889)) | c_Int_Oiszero(_u10888, hAPP(c_Int_Onumber__class_Onumber__of(_u10888), c_Int_OBit0(_u10889))) )).
% 12.21/12.46 cnf(matrix-5263, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u10890)) = c_Int_OBit1(_u10890)) )).
% 12.21/12.46 cnf(matrix-5264, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u10891)) = c_Int_OBit0(c_Int_Osucc(_u10891))) )).
% 12.21/12.46 cnf(matrix-5265, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10892)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10892)), 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)))) )).
% 12.21/12.46 cnf(matrix-5266, plain, ( ~class_Int_Onumber__ring(_u10893) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10893), c_Int_OBit0(_u10894)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10893), c_Groups_Ozero__class_Ozero(_u10893)), hAPP(c_Int_Onumber__class_Onumber__of(_u10893), _u10894))), hAPP(c_Int_Onumber__class_Onumber__of(_u10893), _u10894))) )).
% 12.21/12.46 cnf(matrix-5267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10897)), c_Int_OBit0(_u10899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10897), _u10899)) )).
% 12.21/12.46 cnf(matrix-5268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10898), _u10900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10898)), c_Int_OBit0(_u10900))) )).
% 12.21/12.46 cnf(matrix-5269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10903)), c_Int_OBit0(_u10905))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10903), _u10905)) )).
% 12.21/12.46 cnf(matrix-5270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10904), _u10906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10904)), c_Int_OBit0(_u10906))) )).
% 12.21/12.46 cnf(matrix-5271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10909)), c_Int_OBit1(_u10911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10909), _u10911)) )).
% 12.21/12.46 cnf(matrix-5272, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10910), _u10912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10910)), c_Int_OBit1(_u10912))) )).
% 12.21/12.46 cnf(matrix-5273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10915)), c_Int_OBit1(_u10917))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10915), _u10917)) )).
% 12.21/12.46 cnf(matrix-5274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10916), _u10918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10916)), c_Int_OBit1(_u10918))) )).
% 12.21/12.46 cnf(matrix-5275, 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)))) )).
% 12.21/12.46 cnf(matrix-5276, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u10919)), _u10920) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10919), _u10920))), _u10920)) )).
% 12.21/12.46 cnf(matrix-5277, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u10921)), c_Int_OBit1(_u10922)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u10921)), _u10922))) )).
% 12.21/12.46 cnf(matrix-5278, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u10923)), c_Int_OBit1(_u10924)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10923), c_Int_Osucc(_u10924)))) )).
% 12.21/12.46 cnf(matrix-5279, plain, ( ~class_Int_Onumber__ring(_u10925) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10925), _u10926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10927))) = hAPP(hAPP(c_HOL_OLet(_u10925, _u10925), hAPP(hAPP(c_Power_Opower__class_Opower(_u10925), _u10926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10927))), hAPP(hAPP(c_COMBS(_u10925, _u10925, _u10925), c_Groups_Otimes__class_Otimes(_u10925)), c_COMBI(_u10925)))) )).
% 12.21/12.46 cnf(matrix-5280, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10928), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10929))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10928), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10929))), 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)))) )).
% 12.21/12.46 cnf(matrix-5281, plain, ( ~class_Int_Onumber__ring(_u10930) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10930), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10930), c_Groups_Oone__class_Oone(_u10930)), c_Groups_Oone__class_Oone(_u10930))), hAPP(c_Int_Onumber__class_Onumber__of(_u10930), _u10931)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10930), c_Int_OBit0(_u10931))) )).
% 12.21/12.46 cnf(matrix-5282, 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), _u10932))) | 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(_u10932)))) )).
% 12.21/12.46 cnf(matrix-5283, 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), _u10932))) | 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(_u10932)))) )).
% 12.21/12.46 cnf(matrix-5284, 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)))) )).
% 12.21/12.46 cnf(matrix-5285, plain, ( ~class_Int_Onumber__ring(_u10933) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10933), hAPP(c_Int_Onumber__class_Onumber__of(_u10933), _u10934)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10935))) = hAPP(hAPP(c_HOL_OLet(_u10933, _u10933), hAPP(hAPP(c_Power_Opower__class_Opower(_u10933), hAPP(c_Int_Onumber__class_Onumber__of(_u10933), _u10934)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10935))), hAPP(hAPP(c_COMBS(_u10933, _u10933, _u10933), c_Groups_Otimes__class_Otimes(_u10933)), c_COMBI(_u10933)))) )).
% 12.21/12.46 cnf(matrix-5286, plain, ( ~class_Int_Onumber__ring(_u10936) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10936), hAPP(c_Int_Onumber__class_Onumber__of(_u10936), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10937) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10936), _u10937), _u10937)) )).
% 12.21/12.46 cnf(matrix-5287, plain, ( ~class_Int_Onumber__ring(_u10938) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10938), _u10939), hAPP(c_Int_Onumber__class_Onumber__of(_u10938), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10938), _u10939), _u10939)) )).
% 12.21/12.46 cnf(matrix-5288, plain, ( ~class_Int_Onumber__ring(_u10940) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10940), c_Groups_Oone__class_Oone(_u10940)), c_Groups_Oone__class_Oone(_u10940)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10940), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.46 cnf(matrix-5289, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10941) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10941), _u10942), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u10941)) | ( _u10942 = c_Groups_Ozero__class_Ozero(_u10941)) )).
% 12.21/12.46 cnf(matrix-5290, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10941) | ( _u10942 != c_Groups_Ozero__class_Ozero(_u10941)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10941), _u10942), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u10941)) )).
% 12.21/12.46 cnf(matrix-5291, plain, ( ~class_Rings_Osemiring__1(_u10943) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10943), c_Groups_Ozero__class_Ozero(_u10943)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u10943)) )).
% 12.21/12.46 cnf(matrix-5292, 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)))) )).
% 12.21/12.46 cnf(matrix-5293, 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)))) )).
% 12.21/12.46 cnf(matrix-5294, plain, ( ~class_Rings_Ocomm__semiring__1(_u10944) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10944), _u10945), _u10945) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10944), _u10945), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5295, plain, ( ~class_Groups_Omonoid__mult(_u10946) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10946), _u10947), 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(_u10946), _u10947), _u10947)) )).
% 12.21/12.46 cnf(matrix-5296, 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))))) )).
% 12.21/12.46 cnf(matrix-5297, 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)))), _u10948) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10948))) )).
% 12.21/12.46 cnf(matrix-5298, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10949), 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, _u10949))) )).
% 12.21/12.46 cnf(matrix-5299, plain, ( ~class_Rings_Osemiring__1(_u10950) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10950), c_Groups_Oone__class_Oone(_u10950)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10950)) )).
% 12.21/12.46 cnf(matrix-5300, plain, ( ~class_Rings_Oring__1(_u10951) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10951), hAPP(c_Groups_Ouminus__class_Ouminus(_u10951), _u10952)), 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(_u10951), _u10952), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5301, 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)))), _u10953) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10953), _u10953)) )).
% 12.21/12.46 cnf(matrix-5302, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10954), 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), _u10954), _u10954)) )).
% 12.21/12.46 cnf(matrix-5303, plain, ( ~class_Groups_Omonoid__mult(_u10955) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10955), _u10956), 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)))), _u10957)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10955), hAPP(hAPP(c_Power_Opower__class_Opower(_u10955), _u10956), _u10957)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5304, 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))))) )).
% 12.21/12.46 cnf(matrix-5305, 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))))) )).
% 12.21/12.46 cnf(matrix-5306, plain, ( ~class_Rings_Olinordered__idom(_u10958) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10958), hAPP(hAPP(c_Power_Opower__class_Opower(_u10958), _u10959), 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(_u10958), _u10959), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5307, plain, ( ~class_Rings_Olinordered__idom(_u10960) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10960), hAPP(c_Groups_Oabs__class_Oabs(_u10960), _u10961)), 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(_u10960), _u10961), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5308, 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)))) )).
% 12.21/12.46 cnf(matrix-5309, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10962)), 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, _u10962, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5310, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10963))), 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), _u10963), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.46 cnf(matrix-5311, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10964)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10965))) = 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), _u10964), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10965)))) )).
% 12.21/12.46 cnf(matrix-5312, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10966), _u10966)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u10966) )).
% 12.21/12.46 cnf(matrix-5313, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10967) | ~class_Int_Onumber__ring(_u10967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10967), c_Groups_Ozero__class_Ozero(_u10967)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10967), _u10968), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10967), c_Groups_Ozero__class_Ozero(_u10967)), _u10968)) )).
% 12.21/12.46 cnf(matrix-5314, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10967) | ~class_Int_Onumber__ring(_u10967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10967), c_Groups_Ozero__class_Ozero(_u10967)), _u10968)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10967), c_Groups_Ozero__class_Ozero(_u10967)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10967), _u10968), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.46 cnf(matrix-5315, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10969) | ~class_Int_Onumber__ring(_u10969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10969), c_Groups_Ozero__class_Ozero(_u10969)), _u10970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10969), c_Groups_Ozero__class_Ozero(_u10969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10969), _u10970), hAPP(c_Int_Onumber__class_Onumber__of(_u10969), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.46 cnf(matrix-5316, plain, ( ~class_Rings_Olinordered__idom(_u10971) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10971), c_Groups_Ozero__class_Ozero(_u10971)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10971), _u10972), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.46 cnf(matrix-5317, plain, ( ~class_Rings_Olinordered__semidom(_u10973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10973), hAPP(hAPP(c_Power_Opower__class_Opower(_u10973), _u10974), 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(_u10973), _u10975), 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(_u10973), c_Groups_Ozero__class_Ozero(_u10973)), _u10975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10973), _u10974), _u10975)) )).
% 12.21/12.46 cnf(matrix-5318, plain, ( ~class_Rings_Olinordered__semidom(_u10976) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10976), _u10977), 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(_u10976), _u10978), 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(_u10976), c_Groups_Ozero__class_Ozero(_u10976)), _u10977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10976), c_Groups_Ozero__class_Ozero(_u10976)), _u10978)) | ( _u10977 = _u10978) )).
% 12.21/12.46 cnf(matrix-5319, plain, ( ~class_Rings_Olinordered__idom(_u10979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10979), c_Groups_Ozero__class_Ozero(_u10979)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10979), _u10980), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u10980 != c_Groups_Ozero__class_Ozero(_u10979)) )).
% 12.21/12.46 cnf(matrix-5320, plain, ( ~class_Rings_Olinordered__idom(_u10979) | ( _u10980 = c_Groups_Ozero__class_Ozero(_u10979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10979), c_Groups_Ozero__class_Ozero(_u10979)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10979), _u10980), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.46 cnf(matrix-5321, plain, ( ~class_Rings_Olinordered__idom(_u10981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10981), hAPP(hAPP(c_Power_Opower__class_Opower(_u10981), _u10982), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u10981))) )).
% 12.21/12.46 cnf(matrix-5322, plain, ( ~class_Rings_Olinordered__idom(_u10983) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10983), hAPP(hAPP(c_Power_Opower__class_Opower(_u10983), _u10984), 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(_u10983), _u10985), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u10983)) | ( _u10984 = c_Groups_Ozero__class_Ozero(_u10983)) )).
% 12.21/12.46 cnf(matrix-5323, plain, ( ~class_Rings_Olinordered__idom(_u10983) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10983), hAPP(hAPP(c_Power_Opower__class_Opower(_u10983), _u10984), 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(_u10983), _u10985), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u10983)) | ( _u10985 = c_Groups_Ozero__class_Ozero(_u10983)) )).
% 12.21/12.46 cnf(matrix-5324, plain, ( ~class_Rings_Olinordered__idom(_u10983) | ( _u10984 != c_Groups_Ozero__class_Ozero(_u10983)) | ( _u10985 != c_Groups_Ozero__class_Ozero(_u10983)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10983), hAPP(hAPP(c_Power_Opower__class_Opower(_u10983), _u10984), 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(_u10983), _u10985), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u10983)) )).
% 12.21/12.46 cnf(matrix-5325, plain, ( ~class_Groups_Omonoid__mult(_u10986) | ~class_Int_Onumber(_u10986) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10986), hAPP(c_Int_Onumber__class_Onumber__of(_u10986), _u10987)), 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(_u10986), hAPP(c_Int_Onumber__class_Onumber__of(_u10986), _u10987)), hAPP(c_Int_Onumber__class_Onumber__of(_u10986), _u10987))) )).
% 12.21/12.46 cnf(matrix-5326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10988), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u10988 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10988 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-5327, 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)))) )).
% 12.21/12.46 cnf(matrix-5328, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10989) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10989), _u10990), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u10989)) | ( _u10990 = c_Groups_Oone__class_Oone(_u10989)) | ( _u10990 = hAPP(c_Groups_Ouminus__class_Ouminus(_u10989), c_Groups_Oone__class_Oone(_u10989))) )).
% 12.21/12.46 cnf(matrix-5329, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10989) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10989), _u10990), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10989)) | ( _u10990 != c_Groups_Oone__class_Oone(_u10989)) )).
% 12.21/12.46 cnf(matrix-5330, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10989) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10989), _u10990), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10989)) | ( _u10990 != hAPP(c_Groups_Ouminus__class_Ouminus(_u10989), c_Groups_Oone__class_Oone(_u10989))) )).
% 12.21/12.46 cnf(matrix-5331, plain, ( ~class_Rings_Ocomm__semiring__1(_u10991) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10991), _u10992), 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)))), _u10993)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10991), hAPP(hAPP(c_Power_Opower__class_Opower(_u10991), _u10992), _u10993)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10991), _u10992), _u10993))) )).
% 12.21/12.46 cnf(matrix-5332, plain, ( ~class_Rings_Oring__1(_u10994) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10994), hAPP(c_Groups_Ouminus__class_Ouminus(_u10994), _u10995)), 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)))), _u10996)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10994), _u10995), 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)))), _u10996))) )).
% 12.21/12.46 cnf(matrix-5333, plain, ( ~class_Rings_Olinordered__semidom(_u10997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10997), hAPP(hAPP(c_Power_Opower__class_Opower(_u10997), _u10998), 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(_u10997), _u10999), 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(_u10997), c_Groups_Ozero__class_Ozero(_u10997)), _u10999)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10997), _u10998), _u10999)) )).
% 12.21/12.46 cnf(matrix-5334, plain, ( ~class_Rings_Olinordered__idom(_u11000) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11000), c_Groups_Ozero__class_Ozero(_u11000)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11000), hAPP(hAPP(c_Power_Opower__class_Opower(_u11000), _u11001), 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(_u11000), _u11002), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.21/12.46 cnf(matrix-5335, plain, ( ~class_Rings_Olinordered__idom(_u11003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11003), hAPP(hAPP(c_Power_Opower__class_Opower(_u11003), _u11004), 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(_u11003), _u11005), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11003))) | ( _u11004 = c_Groups_Ozero__class_Ozero(_u11003)) )).
% 12.21/12.46 cnf(matrix-5336, plain, ( ~class_Rings_Olinordered__idom(_u11003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11003), hAPP(hAPP(c_Power_Opower__class_Opower(_u11003), _u11004), 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(_u11003), _u11005), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11003))) | ( _u11005 = c_Groups_Ozero__class_Ozero(_u11003)) )).
% 12.21/12.46 cnf(matrix-5337, plain, ( ~class_Rings_Olinordered__idom(_u11003) | ( _u11004 != c_Groups_Ozero__class_Ozero(_u11003)) | ( _u11005 != c_Groups_Ozero__class_Ozero(_u11003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11003), hAPP(hAPP(c_Power_Opower__class_Opower(_u11003), _u11004), 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(_u11003), _u11005), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11003))) )).
% 12.21/12.46 cnf(matrix-5338, plain, ( ~class_Rings_Olinordered__idom(_u11006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11006), c_Groups_Ozero__class_Ozero(_u11006)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11006), hAPP(hAPP(c_Power_Opower__class_Opower(_u11006), _u11007), 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(_u11006), _u11008), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11007 != c_Groups_Ozero__class_Ozero(_u11006)) | ( _u11008 != c_Groups_Ozero__class_Ozero(_u11006)) )).
% 12.21/12.46 cnf(matrix-5339, plain, ( ~class_Rings_Olinordered__idom(_u11006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11006), c_Groups_Ozero__class_Ozero(_u11006)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11006), hAPP(hAPP(c_Power_Opower__class_Opower(_u11006), _u11007), 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(_u11006), _u11008), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11007 = c_Groups_Ozero__class_Ozero(_u11006)) )).
% 12.21/12.46 cnf(matrix-5340, plain, ( ~class_Rings_Olinordered__idom(_u11006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11006), c_Groups_Ozero__class_Ozero(_u11006)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11006), hAPP(hAPP(c_Power_Opower__class_Opower(_u11006), _u11007), 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(_u11006), _u11008), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11008 = c_Groups_Ozero__class_Ozero(_u11006)) )).
% 12.21/12.46 cnf(matrix-5341, plain, ( ~class_Rings_Olinordered__idom(_u11009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11009), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11009), hAPP(hAPP(c_Power_Opower__class_Opower(_u11009), _u11010), 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(_u11009), _u11011), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11009))) )).
% 12.21/12.46 cnf(matrix-5342, plain, ( ~class_Int_Onumber__ring(_u11012) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11012), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11012), _u11013), _u11014)), 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(_u11012), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11012), hAPP(hAPP(c_Power_Opower__class_Opower(_u11012), _u11013), 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(_u11012), _u11014), 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(_u11012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11012), hAPP(c_Int_Onumber__class_Onumber__of(_u11012), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11013)), _u11014))) )).
% 12.21/12.46 cnf(matrix-5343, plain, ( ~class_Rings_Olinordered__idom(_u11015) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11015), c_Groups_Ozero__class_Ozero(_u11015)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11015), _u11016), 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)))), _u11017)))) )).
% 12.21/12.46 cnf(matrix-5344, plain, ( ~class_Groups_Omonoid__mult(_u11018) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11018), _u11019), 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)))), _u11020))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11018), _u11019), hAPP(hAPP(c_Power_Opower__class_Opower(_u11018), hAPP(hAPP(c_Power_Opower__class_Opower(_u11018), _u11019), _u11020)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.46 cnf(matrix-5345, plain, ( ~class_Rings_Ocomm__semiring__1(_u11021) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11021), _u11022), 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)))), _u11023))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11021), _u11022), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11021), hAPP(hAPP(c_Power_Opower__class_Opower(_u11021), _u11022), _u11023)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11021), _u11022), _u11023)))) )).
% 12.21/12.46 cnf(matrix-5346, plain, ( ~class_Rings_Oring__1(_u11024) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11024), hAPP(c_Groups_Ouminus__class_Ouminus(_u11024), c_Groups_Oone__class_Oone(_u11024))), 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)))), _u11025)) = c_Groups_Oone__class_Oone(_u11024)) )).
% 12.21/12.46 cnf(matrix-5347, 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), _u11028))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11030))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11028))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11030)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11028))) )).
% 12.21/12.46 cnf(matrix-5348, 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), _u11029))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11031))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11029))) = 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), _u11031)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11029))) )).
% 12.21/12.46 cnf(matrix-5349, 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, _u11033, 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, _u11033, 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)) )).
% 12.21/12.46 cnf(matrix-5350, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11034, 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, _u11034, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.46 cnf(matrix-5351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u11035)) | 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), _u11035), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.46 cnf(matrix-5352, plain, ( ~class_Int_Onumber__ring(_u11036) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11036), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11036), _u11037), _u11038)), 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(_u11036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11036), hAPP(hAPP(c_Power_Opower__class_Opower(_u11036), _u11037), 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(_u11036), _u11038), 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(_u11036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11036), hAPP(c_Int_Onumber__class_Onumber__of(_u11036), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11037)), _u11038))) )).
% 12.21/12.46 cnf(matrix-5353, plain, ( ~class_Rings_Olinordered__idom(_u11039) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11039), c_Groups_Ozero__class_Ozero(_u11039)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11039), _u11040), 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)))), _u11041))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11039), c_Groups_Ozero__class_Ozero(_u11039)), _u11040)) )).
% 12.21/12.46 cnf(matrix-5354, plain, ( ~class_Rings_Olinordered__idom(_u11042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11042), _u11043), c_Groups_Ozero__class_Ozero(_u11042))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11042), hAPP(hAPP(c_Power_Opower__class_Opower(_u11042), _u11043), 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)))), _u11044)))), c_Groups_Ozero__class_Ozero(_u11042))) )).
% 12.21/12.46 cnf(matrix-5355, plain, ( ~class_Rings_Oring__1(_u11045) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11045), hAPP(c_Groups_Ouminus__class_Ouminus(_u11045), c_Groups_Oone__class_Oone(_u11045))), 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)))), _u11046))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11045), c_Groups_Oone__class_Oone(_u11045))) )).
% 12.21/12.46 cnf(matrix-5356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11047)) | 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), _u11047), 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)))))) )).
% 12.21/12.46 cnf(matrix-5357, plain, ( ~class_Rings_Osemiring__1(_u11048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11049)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11048), 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)))), _u11049))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11048), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11048), hAPP(c_Int_Onat, _u11049))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11048), hAPP(c_Int_Onat, _u11049)))) )).
% 12.21/12.46 cnf(matrix-5358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11050)) | ( 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)))), _u11051)), 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)))), _u11050)) = 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, _u11051, _u11050)))) )).
% 12.21/12.46 cnf(matrix-5359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11052), 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)))), _u11053))), 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)))), _u11052)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11053), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11052)) )).
% 12.21/12.46 cnf(matrix-5360, plain, ( ( _u11055 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u11055) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5361, plain, ( ( _u11056 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11056, 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, _u11056) = 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), _u11056), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.21/12.46 cnf(matrix-5362, plain, ( ( _u11056 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11056, 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, _u11056) = 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), _u11056), 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))) )).
% 12.21/12.46 cnf(matrix-5363, plain, ( ~class_Rings_Oring__1(_u11057) | ( _u11058 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11057), _u11058) = c_Groups_Ozero__class_Ozero(_u11057)) )).
% 12.21/12.46 cnf(matrix-5364, plain, ( ~class_Rings_Oring__1(_u11057) | ( _u11058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11057), _u11058) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11057), hAPP(c_Int_Oring__1__class_Oof__int(_u11057), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11058)))) )).
% 12.21/12.46 cnf(matrix-5365, plain, ( ~class_Rings_Oring__1(_u11057) | ( _u11058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11057), _u11058) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u11057), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u11057, _u11057)), tc_fun(tc_Int_Oint, _u11057)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11057, _u11057), _u11057), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u11057, _u11057)), tc_fun(tc_Int_Oint, _u11057)), tc_Int_Oint), c_COMBB(tc_fun(_u11057, _u11057), _u11057, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u11057, tc_fun(tc_fun(_u11057, _u11057), _u11057), tc_Int_Oint), c_HOL_OLet(_u11057, _u11057)), c_Int_Oring__1__class_Oof__int(_u11057)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11057, _u11057), tc_fun(_u11057, _u11057)), hAPP(hAPP(c_COMBB(tc_fun(_u11057, tc_fun(_u11057, _u11057)), tc_fun(tc_fun(_u11057, _u11057), tc_fun(_u11057, _u11057)), tc_Int_Oint), c_COMBS(_u11057, _u11057, _u11057)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11057, _u11057), tc_fun(_u11057, tc_fun(_u11057, _u11057))), hAPP(hAPP(c_COMBB(tc_fun(_u11057, tc_fun(_u11057, _u11057)), tc_fun(tc_fun(_u11057, _u11057), tc_fun(_u11057, tc_fun(_u11057, _u11057))), tc_Int_Oint), c_COMBB(_u11057, tc_fun(_u11057, _u11057), _u11057)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11057, tc_fun(_u11057, _u11057)), tc_Int_Oint), c_If(_u11057)), 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(_u11057, _u11057, _u11057), c_Groups_Oplus__class_Oplus(_u11057)), c_COMBI(_u11057))))), hAPP(hAPP(c_COMBC(_u11057, _u11057, _u11057), hAPP(hAPP(c_COMBB(_u11057, tc_fun(_u11057, _u11057), _u11057), c_Groups_Oplus__class_Oplus(_u11057)), hAPP(hAPP(c_COMBS(_u11057, _u11057, _u11057), c_Groups_Oplus__class_Oplus(_u11057)), c_COMBI(_u11057)))), c_Groups_Oone__class_Oone(_u11057))))), c_Divides_Odivmod__int(_u11058, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.46 cnf(matrix-5366, plain, ( ~class_Int_Onumber__ring(_u11059) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11059), hAPP(c_Int_Onumber__class_Onumber__of(_u11059), 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)))), _u11060))) = hAPP(c_Int_Onumber__class_Onumber__of(_u11059), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5367, plain, ( ( c_Int_OBit0(_u11061) != c_Int_OMin) )).
% 12.21/12.46 cnf(matrix-5368, plain, ( ( c_Int_OMin != c_Int_OBit0(_u11062)) )).
% 12.21/12.46 cnf(matrix-5369, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5370, 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)) )).
% 12.21/12.46 cnf(matrix-5371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5372, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.21/12.46 cnf(matrix-5373, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.21/12.46 cnf(matrix-5374, plain, ( ( c_Int_OBit1(_u11064) != c_Int_OMin) | ( _u11064 = c_Int_OMin) )).
% 12.21/12.46 cnf(matrix-5375, plain, ( ( _u11065 != c_Int_OMin) | ( c_Int_OBit1(_u11065) = c_Int_OMin) )).
% 12.21/12.46 cnf(matrix-5376, plain, ( ( c_Int_OMin != c_Int_OBit1(_u11067)) | ( c_Int_OMin = _u11067) )).
% 12.21/12.46 cnf(matrix-5377, plain, ( ( c_Int_OMin != _u11068) | ( c_Int_OMin = c_Int_OBit1(_u11068)) )).
% 12.21/12.46 cnf(matrix-5378, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.21/12.46 cnf(matrix-5379, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5380, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5381, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5382, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11070)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11070), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11071), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11071)), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5384, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11073)) )).
% 12.21/12.46 cnf(matrix-5385, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11074))) )).
% 12.21/12.46 cnf(matrix-5386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5387, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11076)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11076), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5389, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11077), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11077)), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5390, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11079))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11079)) )).
% 12.21/12.46 cnf(matrix-5391, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11080))) )).
% 12.21/12.46 cnf(matrix-5392, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11082)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11082), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5393, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11083), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11083)), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5394, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11085))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11085)) )).
% 12.21/12.46 cnf(matrix-5395, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11086))) )).
% 12.21/12.46 cnf(matrix-5396, 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)) )).
% 12.21/12.46 cnf(matrix-5397, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5398, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u11087) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11087)) )).
% 12.21/12.46 cnf(matrix-5399, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 12.21/12.46 cnf(matrix-5400, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.21/12.46 cnf(matrix-5401, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11088), c_Int_OMin) = c_Int_Opred(_u11088)) )).
% 12.21/12.46 cnf(matrix-5402, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u11089) = c_Int_Opred(_u11089)) )).
% 12.21/12.46 cnf(matrix-5403, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5404, plain, ( ~class_Int_Onumber__ring(_u11090) | ~c_Int_Oiszero(_u11090, hAPP(c_Int_Onumber__class_Onumber__of(_u11090), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5405, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.21/12.46 cnf(matrix-5406, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11091), c_Int_OMin) = c_Int_Osucc(_u11091)) )).
% 12.21/12.46 cnf(matrix-5407, plain, ( ~class_Int_Onumber__ring(_u11092) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11092), _u11093), hAPP(c_Int_Onumber__class_Onumber__of(_u11092), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11092), _u11093)) )).
% 12.21/12.46 cnf(matrix-5408, plain, ( ~class_Int_Onumber__ring(_u11094) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11094), hAPP(c_Int_Onumber__class_Onumber__of(_u11094), c_Int_OMin)), _u11095) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11094), _u11095)) )).
% 12.21/12.46 cnf(matrix-5409, plain, ( ~class_Int_Onumber__ring(_u11096) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11096), c_Groups_Oone__class_Oone(_u11096)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11096), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5410, plain, ( ~class_Int_Onumber__ring(_u11097) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11097), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11097), c_Groups_Oone__class_Oone(_u11097))) )).
% 12.21/12.46 cnf(matrix-5411, plain, ( ~class_Int_Onumber__ring(_u11098) | ~class_Rings_Olinordered__idom(_u11098) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11098), hAPP(c_Int_Onumber__class_Onumber__of(_u11098), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u11098)) )).
% 12.21/12.46 cnf(matrix-5412, plain, ( ~class_Fields_Ofield__inverse__zero(_u11099) | ~class_Int_Onumber__ring(_u11099) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11099), _u11100), hAPP(c_Int_Onumber__class_Onumber__of(_u11099), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11099), _u11100)) )).
% 12.21/12.46 cnf(matrix-5413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11102)) )).
% 12.21/12.46 cnf(matrix-5414, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11103)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11103))) )).
% 12.21/12.46 cnf(matrix-5415, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11105)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11105), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11106), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11106)), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5417, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11107, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5418, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u11108)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11108))) )).
% 12.21/12.46 cnf(matrix-5419, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-5420, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11111), _u11113) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11111 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11111 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5421, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11111), _u11113) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11111 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11113 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5422, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11111), _u11113) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11113 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11111 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5423, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11111), _u11113) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11113 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11113 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5424, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11112), _u11114) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11112 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11114 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5425, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11112), _u11114) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11112 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u11114 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5426, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11115), _u11116) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11115 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11115 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5427, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11117)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11117))) )).
% 12.21/12.46 cnf(matrix-5428, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11118)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11118))) )).
% 12.21/12.46 cnf(matrix-5429, plain, ( ~class_Int_Onumber__ring(_u11119) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11119), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11119), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5430, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11120), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11120)) )).
% 12.21/12.46 cnf(matrix-5431, 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)) )).
% 12.21/12.46 cnf(matrix-5432, plain, ( ~class_Fields_Ofield__inverse__zero(_u11121) | ~class_Int_Onumber__ring(_u11121) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11121), hAPP(c_Int_Onumber__class_Onumber__of(_u11121), c_Int_OMin)), _u11122) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11121), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11121), c_Groups_Oone__class_Oone(_u11121)), _u11122))) )).
% 12.21/12.46 cnf(matrix-5433, plain, ( ~class_Int_Onumber__ring(_u11123) | ~class_Rings_Olinordered__idom(_u11123) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11123), hAPP(hAPP(c_Power_Opower__class_Opower(_u11123), hAPP(c_Int_Onumber__class_Onumber__of(_u11123), c_Int_OMin)), _u11124)) = c_Groups_Oone__class_Oone(_u11123)) )).
% 12.21/12.46 cnf(matrix-5434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11125)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u11125) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11126), _u11127)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11126), _u11127) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-5436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11128)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11128) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11128), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5437, 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))) )).
% 12.21/12.46 cnf(matrix-5438, plain, ( ~class_Int_Onumber__ring(_u11129) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11129), hAPP(c_Int_Onumber__class_Onumber__of(_u11129), 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)))), _u11130)) = c_Groups_Oone__class_Oone(_u11129)) )).
% 12.21/12.46 cnf(matrix-5439, 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))))) )).
% 12.21/12.46 cnf(matrix-5440, plain, ( ( c_Int_Oint__ge__less__than(_u11131) = 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), _u11131)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.21/12.46 cnf(matrix-5441, plain, ( ( c_Int_Oint__ge__less__than2(_u11132) = 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), _u11132)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.21/12.46 cnf(matrix-5442, plain, ( c_Fun_Oinj__on(tc_fun(_u11133, _u11134), tc_fun(tc_prod(_u11133, _u11134), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11133, _u11134), tc_HOL_Obool), tc_fun(tc_prod(_u11133, _u11134), tc_HOL_Obool), tc_fun(_u11133, _u11134)), c_Set_OCollect(tc_prod(_u11133, _u11134))), hAPP(hAPP(c_COMBB(tc_fun(_u11133, tc_fun(_u11134, tc_HOL_Obool)), tc_fun(tc_prod(_u11133, _u11134), tc_HOL_Obool), tc_fun(_u11133, _u11134)), c_Product__Type_Oprod_Oprod__case(_u11133, _u11134, tc_HOL_Obool)), hAPP(c_COMBB(_u11134, tc_fun(_u11134, tc_HOL_Obool), _u11133), hAPP(c_COMBC(_u11134, _u11134, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11133, _u11134), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5443, plain, ( ( c_Nitpick_Oprod(_u11135, _u11136, _u11137, _u11138) = hAPP(c_Set_OCollect(tc_prod(_u11135, _u11136)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11135, _u11136, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11135, tc_fun(_u11136, tc_HOL_Obool), tc_fun(_u11136, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11136, tc_HOL_Obool), tc_fun(_u11136, tc_HOL_Obool)), _u11135), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11136)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11135), c_fconj), hAPP(hAPP(c_COMBC(_u11135, tc_fun(_u11135, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11135)), _u11137)))), hAPP(hAPP(c_COMBC(_u11136, tc_fun(_u11136, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11136)), _u11138))))) )).
% 12.21/12.46 cnf(matrix-5444, plain, ( ( _u11141 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11141, _u11143) = _u11143) )).
% 12.21/12.46 cnf(matrix-5445, plain, ( ( _u11142 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11142, _u11144) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u11142), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u11144))) )).
% 12.21/12.46 cnf(matrix-5446, plain, ( ( c_Divides_Odivmod__int__rel(_u11145, _u11146) = 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, _u11145))), 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), _u11146)))))), 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)), _u11146))), 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)), _u11146))))), 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)), _u11146)))), 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), _u11146))), 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)))))))) )).
% 12.21/12.46 cnf(matrix-5447, plain, ( ( _u11147 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11148, _u11147), c_Divides_Odivmod__int(_u11148, _u11147))) )).
% 12.21/12.46 cnf(matrix-5448, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11149, _u11150), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11151), _u11152))) | ( _u11150 = 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)), _u11153)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11149, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11150), _u11153)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11151), _u11153)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11150), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11151, _u11153))), _u11152)))) )).
% 12.21/12.46 cnf(matrix-5449, 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)) )).
% 12.21/12.46 cnf(matrix-5450, plain, ( ~class_Int_Onumber__ring(_u11154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11155)) | hBOOL(hAPP(hAPP(c_member(_u11154), hAPP(c_Int_Onumber__class_Onumber__of(_u11154), _u11155)), c_Nat_Osemiring__1__class_ONats(_u11154))) )).
% 12.21/12.46 cnf(matrix-5451, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11162, tc_fun(_u11164, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11162, tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_fun(_u11164, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11164, tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_fun(_u11164, tc_HOL_Obool)), _u11162), c_COMBC(_u11164, tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11164, tc_prod(_u11162, _u11164)), tc_fun(_u11164, tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), _u11162), hAPP(c_COMBB(tc_prod(_u11162, _u11164), tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool), _u11164), c_member(tc_prod(_u11162, _u11164)))), c_Product__Type_OPair(_u11162, _u11164)))), _u11166)), hAPP(hAPP(c_COMBC(_u11162, tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_fun(_u11164, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11164, tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_fun(_u11164, tc_HOL_Obool)), _u11162), c_COMBC(_u11164, tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11164, tc_prod(_u11162, _u11164)), tc_fun(_u11164, tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool)), _u11162), hAPP(c_COMBB(tc_prod(_u11162, _u11164), tc_fun(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool), tc_HOL_Obool), _u11164), c_member(tc_prod(_u11162, _u11164)))), c_Product__Type_OPair(_u11162, _u11164)))), _u11168)), _u11170), _u11172)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11162, _u11164)), hAPP(hAPP(c_Product__Type_OPair(_u11162, _u11164), _u11170), _u11172)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11162, _u11164), tc_HOL_Obool)), _u11166), _u11168))) )).
% 12.21/12.46 cnf(matrix-5452, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11163, _u11165)), hAPP(hAPP(c_Product__Type_OPair(_u11163, _u11165), _u11171), _u11173)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool)), _u11167), _u11169))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11163, tc_fun(_u11165, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11163, tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_fun(_u11165, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11165, tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_fun(_u11165, tc_HOL_Obool)), _u11163), c_COMBC(_u11165, tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11165, tc_prod(_u11163, _u11165)), tc_fun(_u11165, tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), _u11163), hAPP(c_COMBB(tc_prod(_u11163, _u11165), tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool), _u11165), c_member(tc_prod(_u11163, _u11165)))), c_Product__Type_OPair(_u11163, _u11165)))), _u11167)), hAPP(hAPP(c_COMBC(_u11163, tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_fun(_u11165, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11165, tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_fun(_u11165, tc_HOL_Obool)), _u11163), c_COMBC(_u11165, tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11165, tc_prod(_u11163, _u11165)), tc_fun(_u11165, tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool)), _u11163), hAPP(c_COMBB(tc_prod(_u11163, _u11165), tc_fun(tc_fun(tc_prod(_u11163, _u11165), tc_HOL_Obool), tc_HOL_Obool), _u11165), c_member(tc_prod(_u11163, _u11165)))), c_Product__Type_OPair(_u11163, _u11165)))), _u11169)), _u11171), _u11173)) )).
% 12.21/12.46 cnf(matrix-5453, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11178, tc_fun(_u11180, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11178, tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_fun(_u11180, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11180, tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_fun(_u11180, tc_HOL_Obool)), _u11178), c_COMBC(_u11180, tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11180, tc_prod(_u11178, _u11180)), tc_fun(_u11180, tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), _u11178), hAPP(c_COMBB(tc_prod(_u11178, _u11180), tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool), _u11180), c_member(tc_prod(_u11178, _u11180)))), c_Product__Type_OPair(_u11178, _u11180)))), _u11182)), hAPP(hAPP(c_COMBC(_u11178, tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_fun(_u11180, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11180, tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_fun(_u11180, tc_HOL_Obool)), _u11178), c_COMBC(_u11180, tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11180, tc_prod(_u11178, _u11180)), tc_fun(_u11180, tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool)), _u11178), hAPP(c_COMBB(tc_prod(_u11178, _u11180), tc_fun(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool), tc_HOL_Obool), _u11180), c_member(tc_prod(_u11178, _u11180)))), c_Product__Type_OPair(_u11178, _u11180)))), _u11184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11178, _u11180), tc_HOL_Obool)), _u11182), _u11184)) )).
% 12.21/12.46 cnf(matrix-5454, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool)), _u11183), _u11185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11179, tc_fun(_u11181, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11179, tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_fun(_u11181, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11181, tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_fun(_u11181, tc_HOL_Obool)), _u11179), c_COMBC(_u11181, tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11181, tc_prod(_u11179, _u11181)), tc_fun(_u11181, tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), _u11179), hAPP(c_COMBB(tc_prod(_u11179, _u11181), tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool), _u11181), c_member(tc_prod(_u11179, _u11181)))), c_Product__Type_OPair(_u11179, _u11181)))), _u11183)), hAPP(hAPP(c_COMBC(_u11179, tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_fun(_u11181, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11181, tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_fun(_u11181, tc_HOL_Obool)), _u11179), c_COMBC(_u11181, tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11181, tc_prod(_u11179, _u11181)), tc_fun(_u11181, tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool)), _u11179), hAPP(c_COMBB(tc_prod(_u11179, _u11181), tc_fun(tc_fun(tc_prod(_u11179, _u11181), tc_HOL_Obool), tc_HOL_Obool), _u11181), c_member(tc_prod(_u11179, _u11181)))), c_Product__Type_OPair(_u11179, _u11181)))), _u11185))) )).
% 12.21/12.46 cnf(matrix-5455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11190, tc_fun(_u11192, tc_HOL_Obool))), _u11194), _u11196)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11190, _u11192)), hAPP(hAPP(c_Product__Type_OPair(_u11190, _u11192), _u11194), _u11196)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11190, _u11192), tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5456, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11191, _u11193)), hAPP(hAPP(c_Product__Type_OPair(_u11191, _u11193), _u11195), _u11197)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11191, _u11193), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11191, tc_fun(_u11193, tc_HOL_Obool))), _u11195), _u11197)) )).
% 12.21/12.46 cnf(matrix-5457, plain, ( ( _u11206 = _u11208) | ( hAPP(hAPP(c_COMBC(_u11202, tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_fun(_u11204, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11204, tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_fun(_u11204, tc_HOL_Obool)), _u11202), c_COMBC(_u11204, tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11204, tc_prod(_u11202, _u11204)), tc_fun(_u11204, tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), _u11202), hAPP(c_COMBB(tc_prod(_u11202, _u11204), tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool), _u11204), c_member(tc_prod(_u11202, _u11204)))), c_Product__Type_OPair(_u11202, _u11204)))), _u11206) != hAPP(hAPP(c_COMBC(_u11202, tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_fun(_u11204, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11204, tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_fun(_u11204, tc_HOL_Obool)), _u11202), c_COMBC(_u11204, tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11204, tc_prod(_u11202, _u11204)), tc_fun(_u11204, tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool)), _u11202), hAPP(c_COMBB(tc_prod(_u11202, _u11204), tc_fun(tc_fun(tc_prod(_u11202, _u11204), tc_HOL_Obool), tc_HOL_Obool), _u11204), c_member(tc_prod(_u11202, _u11204)))), c_Product__Type_OPair(_u11202, _u11204)))), _u11208)) )).
% 12.21/12.46 cnf(matrix-5458, plain, ( ( _u11207 != _u11209) | ( hAPP(hAPP(c_COMBC(_u11203, tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_fun(_u11205, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11205, tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_fun(_u11205, tc_HOL_Obool)), _u11203), c_COMBC(_u11205, tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11205, tc_prod(_u11203, _u11205)), tc_fun(_u11205, tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), _u11203), hAPP(c_COMBB(tc_prod(_u11203, _u11205), tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool), _u11205), c_member(tc_prod(_u11203, _u11205)))), c_Product__Type_OPair(_u11203, _u11205)))), _u11207) = hAPP(hAPP(c_COMBC(_u11203, tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_fun(_u11205, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11205, tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_fun(_u11205, tc_HOL_Obool)), _u11203), c_COMBC(_u11205, tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11205, tc_prod(_u11203, _u11205)), tc_fun(_u11205, tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool)), _u11203), hAPP(c_COMBB(tc_prod(_u11203, _u11205), tc_fun(tc_fun(tc_prod(_u11203, _u11205), tc_HOL_Obool), tc_HOL_Obool), _u11205), c_member(tc_prod(_u11203, _u11205)))), c_Product__Type_OPair(_u11203, _u11205)))), _u11209)) )).
% 12.21/12.46 cnf(matrix-5459, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11216, tc_fun(_u11218, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11216, tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_fun(_u11218, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11218, tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_fun(_u11218, tc_HOL_Obool)), _u11216), c_COMBC(_u11218, tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11218, tc_prod(_u11216, _u11218)), tc_fun(_u11218, tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), _u11216), hAPP(c_COMBB(tc_prod(_u11216, _u11218), tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool), _u11218), c_member(tc_prod(_u11216, _u11218)))), c_Product__Type_OPair(_u11216, _u11218)))), _u11220)), hAPP(hAPP(c_COMBC(_u11216, tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_fun(_u11218, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11218, tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_fun(_u11218, tc_HOL_Obool)), _u11216), c_COMBC(_u11218, tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11218, tc_prod(_u11216, _u11218)), tc_fun(_u11218, tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool)), _u11216), hAPP(c_COMBB(tc_prod(_u11216, _u11218), tc_fun(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool), tc_HOL_Obool), _u11218), c_member(tc_prod(_u11216, _u11218)))), c_Product__Type_OPair(_u11216, _u11218)))), _u11222)), _u11224), _u11226)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11216, _u11218)), hAPP(hAPP(c_Product__Type_OPair(_u11216, _u11218), _u11224), _u11226)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11216, _u11218), tc_HOL_Obool)), _u11220), _u11222))) )).
% 12.21/12.46 cnf(matrix-5460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11217, _u11219)), hAPP(hAPP(c_Product__Type_OPair(_u11217, _u11219), _u11225), _u11227)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool)), _u11221), _u11223))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11217, tc_fun(_u11219, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11217, tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_fun(_u11219, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11219, tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_fun(_u11219, tc_HOL_Obool)), _u11217), c_COMBC(_u11219, tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11219, tc_prod(_u11217, _u11219)), tc_fun(_u11219, tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), _u11217), hAPP(c_COMBB(tc_prod(_u11217, _u11219), tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool), _u11219), c_member(tc_prod(_u11217, _u11219)))), c_Product__Type_OPair(_u11217, _u11219)))), _u11221)), hAPP(hAPP(c_COMBC(_u11217, tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_fun(_u11219, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11219, tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_fun(_u11219, tc_HOL_Obool)), _u11217), c_COMBC(_u11219, tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11219, tc_prod(_u11217, _u11219)), tc_fun(_u11219, tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool)), _u11217), hAPP(c_COMBB(tc_prod(_u11217, _u11219), tc_fun(tc_fun(tc_prod(_u11217, _u11219), tc_HOL_Obool), tc_HOL_Obool), _u11219), c_member(tc_prod(_u11217, _u11219)))), c_Product__Type_OPair(_u11217, _u11219)))), _u11223)), _u11225), _u11227)) )).
% 12.21/12.46 cnf(matrix-5461, plain, ( ~c_Equiv__Relations_Ocongruent(_u11228, _u11229, _u11230, _u11231) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11228, _u11228)), hAPP(hAPP(c_Product__Type_OPair(_u11228, _u11228), _u11232), _u11233)), _u11230)) | ( hAPP(_u11231, _u11232) = hAPP(_u11231, _u11233)) )).
% 12.21/12.46 cnf(matrix-5462, plain, ( ~c_Equiv__Relations_Ocongruent2(_u11234, _u11235, _u11236, _u11237, _u11238, _u11239) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11234, _u11234)), hAPP(hAPP(c_Product__Type_OPair(_u11234, _u11234), _u11240), _u11241)), _u11237)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11235, _u11235)), hAPP(hAPP(c_Product__Type_OPair(_u11235, _u11235), _u11242), _u11243)), _u11238)) | ( hAPP(hAPP(_u11239, _u11240), _u11242) = hAPP(hAPP(_u11239, _u11241), _u11243)) )).
% 12.21/12.46 cnf(matrix-5463, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11251), _u11253), hAPP(c_Relation_OImage(_u11255, _u11251, _u11257), _u11259))) | hBOOL(hAPP(hAPP(c_member(_u11255), skolem270(_u11259, _u11257, _u11255, _u11253, _u11251)), _u11259)) )).
% 12.21/12.46 cnf(matrix-5464, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11251), _u11253), hAPP(c_Relation_OImage(_u11255, _u11251, _u11257), _u11259))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11255, _u11251)), hAPP(hAPP(c_Product__Type_OPair(_u11255, _u11251), skolem270(_u11259, _u11257, _u11255, _u11253, _u11251)), _u11253)), _u11257)) )).
% 12.21/12.47 cnf(matrix-5465, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11256), _u11245), _u11260)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11256, _u11252)), hAPP(hAPP(c_Product__Type_OPair(_u11256, _u11252), _u11245), _u11254)), _u11258)) | hBOOL(hAPP(hAPP(c_member(_u11252), _u11254), hAPP(c_Relation_OImage(_u11256, _u11252, _u11258), _u11260))) )).
% 12.21/12.47 cnf(matrix-5466, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11261), _u11262), _u11263)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11261, _u11264)), hAPP(hAPP(c_Product__Type_OPair(_u11261, _u11264), _u11262), _u11265)), _u11266)) | hBOOL(hAPP(hAPP(c_member(_u11264), _u11265), hAPP(c_Relation_OImage(_u11261, _u11264, _u11266), _u11263))) )).
% 12.21/12.47 cnf(matrix-5467, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11267, _u11268), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11269), _u11270))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11267, _u11268), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11271), _u11272))) | ( _u11268 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11270 = _u11272) )).
% 12.21/12.47 cnf(matrix-5468, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11273, _u11274), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11275), _u11276))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11273, _u11274), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11277), _u11278))) | ( _u11274 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11275 = _u11277) )).
% 12.21/12.47 cnf(matrix-5469, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11279, _u11279), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11280), _u11281))) | ( _u11279 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11281 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-5470, plain, ( ( _u11282 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11282), 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)))) )).
% 12.21/12.47 cnf(matrix-5471, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11289, tc_fun(_u11291, tc_fun(_u11293, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11289, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_fun(_u11291, tc_fun(_u11293, tc_HOL_Obool)), _u11289), hAPP(c_COMBC(_u11291, tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_fun(_u11293, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11293, tc_fun(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_fun(_u11293, tc_HOL_Obool)), _u11291), c_COMBC(_u11293, tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11293, tc_prod(_u11291, _u11293)), tc_fun(_u11293, tc_fun(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_HOL_Obool)), _u11291), hAPP(c_COMBB(tc_prod(_u11291, _u11293), tc_fun(tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool), tc_HOL_Obool), _u11293), c_member(tc_prod(_u11291, _u11293)))), c_Product__Type_OPair(_u11291, _u11293))))), _u11295)), _u11297), _u11299)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11291, _u11293)), hAPP(hAPP(c_Product__Type_OPair(_u11291, _u11293), _u11297), _u11299)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11289, tc_fun(tc_prod(_u11291, _u11293), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11289, tc_HOL_Obool))), _u11295))) )).
% 12.21/12.47 cnf(matrix-5472, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11292, _u11294)), hAPP(hAPP(c_Product__Type_OPair(_u11292, _u11294), _u11298), _u11300)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11290, tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11290, tc_HOL_Obool))), _u11296))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11290, tc_fun(_u11292, tc_fun(_u11294, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11290, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_fun(_u11292, tc_fun(_u11294, tc_HOL_Obool)), _u11290), hAPP(c_COMBC(_u11292, tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_fun(_u11294, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11294, tc_fun(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_fun(_u11294, tc_HOL_Obool)), _u11292), c_COMBC(_u11294, tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11294, tc_prod(_u11292, _u11294)), tc_fun(_u11294, tc_fun(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_HOL_Obool)), _u11292), hAPP(c_COMBB(tc_prod(_u11292, _u11294), tc_fun(tc_fun(tc_prod(_u11292, _u11294), tc_HOL_Obool), tc_HOL_Obool), _u11294), c_member(tc_prod(_u11292, _u11294)))), c_Product__Type_OPair(_u11292, _u11294))))), _u11296)), _u11298), _u11300)) )).
% 12.21/12.47 cnf(matrix-5473, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11307, tc_fun(_u11309, tc_fun(_u11311, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11307, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_fun(_u11309, tc_fun(_u11311, tc_HOL_Obool)), _u11307), hAPP(c_COMBC(_u11309, tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_fun(_u11311, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11311, tc_fun(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_fun(_u11311, tc_HOL_Obool)), _u11309), c_COMBC(_u11311, tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11311, tc_prod(_u11309, _u11311)), tc_fun(_u11311, tc_fun(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_HOL_Obool)), _u11309), hAPP(c_COMBB(tc_prod(_u11309, _u11311), tc_fun(tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool), tc_HOL_Obool), _u11311), c_member(tc_prod(_u11309, _u11311)))), c_Product__Type_OPair(_u11309, _u11311))))), _u11313)), _u11315), _u11317)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11309, _u11311)), hAPP(hAPP(c_Product__Type_OPair(_u11309, _u11311), _u11315), _u11317)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11307, tc_fun(tc_prod(_u11309, _u11311), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11307, tc_HOL_Obool))), _u11313))) )).
% 12.21/12.47 cnf(matrix-5474, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11310, _u11312)), hAPP(hAPP(c_Product__Type_OPair(_u11310, _u11312), _u11316), _u11318)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11308, tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11308, tc_HOL_Obool))), _u11314))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11308, tc_fun(_u11310, tc_fun(_u11312, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11308, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_fun(_u11310, tc_fun(_u11312, tc_HOL_Obool)), _u11308), hAPP(c_COMBC(_u11310, tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_fun(_u11312, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11312, tc_fun(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_fun(_u11312, tc_HOL_Obool)), _u11310), c_COMBC(_u11312, tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11312, tc_prod(_u11310, _u11312)), tc_fun(_u11312, tc_fun(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_HOL_Obool)), _u11310), hAPP(c_COMBB(tc_prod(_u11310, _u11312), tc_fun(tc_fun(tc_prod(_u11310, _u11312), tc_HOL_Obool), tc_HOL_Obool), _u11312), c_member(tc_prod(_u11310, _u11312)))), c_Product__Type_OPair(_u11310, _u11312))))), _u11314)), _u11316), _u11318)) )).
% 12.21/12.47 cnf(matrix-5475, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11319, _u11319), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11320), _u11321))) | ( _u11319 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11320 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-5476, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11322, _u11323), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11324), _u11325))) | ( _u11323 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11322, _u11323) = _u11325) )).
% 12.21/12.47 cnf(matrix-5477, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11326, _u11327), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11328), _u11329))) | ( _u11327 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11326), _u11327) = _u11328) )).
% 12.21/12.47 cnf(matrix-5478, plain, ( ~class_Rings_Osemiring__1(_u11330) | hBOOL(hAPP(hAPP(c_member(_u11330), c_Groups_Ozero__class_Ozero(_u11330)), c_Nat_Osemiring__1__class_ONats(_u11330))) )).
% 12.21/12.47 cnf(matrix-5479, plain, ( ( c_Divides_Odivmod__int(_u11331, _u11332) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11331), _u11332)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11331, _u11332))) )).
% 12.21/12.47 cnf(matrix-5480, plain, ( ~class_Rings_Osemiring__1(_u11333) | ~hBOOL(hAPP(hAPP(c_member(_u11333), _u11334), c_Nat_Osemiring__1__class_ONats(_u11333))) | ~hBOOL(hAPP(hAPP(c_member(_u11333), _u11335), c_Nat_Osemiring__1__class_ONats(_u11333))) | hBOOL(hAPP(hAPP(c_member(_u11333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11333), _u11334), _u11335)), c_Nat_Osemiring__1__class_ONats(_u11333))) )).
% 12.21/12.47 cnf(matrix-5481, plain, ( ~class_Rings_Osemiring__1(_u11336) | ~hBOOL(hAPP(hAPP(c_member(_u11336), _u11337), c_Nat_Osemiring__1__class_ONats(_u11336))) | ~hBOOL(hAPP(hAPP(c_member(_u11336), _u11338), c_Nat_Osemiring__1__class_ONats(_u11336))) | hBOOL(hAPP(hAPP(c_member(_u11336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11336), _u11337), _u11338)), c_Nat_Osemiring__1__class_ONats(_u11336))) )).
% 12.21/12.47 cnf(matrix-5482, plain, ( ~class_Rings_Osemiring__1(_u11339) | hBOOL(hAPP(hAPP(c_member(_u11339), c_Groups_Oone__class_Oone(_u11339)), c_Nat_Osemiring__1__class_ONats(_u11339))) )).
% 12.21/12.47 cnf(matrix-5483, plain, ( ~class_Rings_Osemiring__1(_u11340) | hBOOL(hAPP(hAPP(c_member(_u11340), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11340), _u11341)), c_Nat_Osemiring__1__class_ONats(_u11340))) )).
% 12.21/12.47 cnf(matrix-5484, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11347), _u11349), hAPP(c_Relation_OImage(_u11351, _u11347, _u11353), hAPP(hAPP(c_Set_Oinsert(_u11351), _u11355), c_Orderings_Obot__class_Obot(tc_fun(_u11351, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11351, _u11347)), hAPP(hAPP(c_Product__Type_OPair(_u11351, _u11347), _u11355), _u11349)), _u11353)) )).
% 12.21/12.47 cnf(matrix-5485, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11352, _u11348)), hAPP(hAPP(c_Product__Type_OPair(_u11352, _u11348), _u11356), _u11350)), _u11354)) | hBOOL(hAPP(hAPP(c_member(_u11348), _u11350), hAPP(c_Relation_OImage(_u11352, _u11348, _u11354), hAPP(hAPP(c_Set_Oinsert(_u11352), _u11356), c_Orderings_Obot__class_Obot(tc_fun(_u11352, tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-5486, plain, ( ~c_Equiv__Relations_Oequiv(_u11357, _u11358, _u11359) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11357, _u11357)), hAPP(hAPP(c_Product__Type_OPair(_u11357, _u11357), _u11360), _u11361)), _u11359)) | ( hAPP(c_Relation_OImage(_u11357, _u11357, _u11359), hAPP(hAPP(c_Set_Oinsert(_u11357), _u11360), c_Orderings_Obot__class_Obot(tc_fun(_u11357, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11357, _u11357, _u11359), hAPP(hAPP(c_Set_Oinsert(_u11357), _u11361), c_Orderings_Obot__class_Obot(tc_fun(_u11357, tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-5487, plain, ( ~c_Equiv__Relations_Oequiv(_u11362, _u11363, _u11364) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11362, tc_HOL_Obool)), _u11365), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11362), _u11363), _u11364))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11362, tc_HOL_Obool)), _u11366), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11362), _u11363), _u11364))) | ~hBOOL(hAPP(hAPP(c_member(_u11362), _u11367), _u11365)) | ~hBOOL(hAPP(hAPP(c_member(_u11362), _u11368), _u11366)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11362, _u11362)), hAPP(hAPP(c_Product__Type_OPair(_u11362, _u11362), _u11367), _u11368)), _u11364)) | ( _u11365 = _u11366) )).
% 12.21/12.47 cnf(matrix-5488, plain, ( ~c_Equiv__Relations_Oequiv(_u11369, _u11370, _u11371) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11369, tc_HOL_Obool)), _u11372), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11369), _u11370), _u11371))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11369, tc_HOL_Obool)), _u11373), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11369), _u11370), _u11371))) | ~hBOOL(hAPP(hAPP(c_member(_u11369), _u11374), _u11372)) | ~hBOOL(hAPP(hAPP(c_member(_u11369), _u11375), _u11373)) | ( _u11372 != _u11373) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11369, _u11369)), hAPP(hAPP(c_Product__Type_OPair(_u11369, _u11369), _u11374), _u11375)), _u11371)) )).
% 12.21/12.47 cnf(matrix-5489, plain, ( ~c_Equiv__Relations_Oequiv(_u11369, _u11370, _u11371) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11369, tc_HOL_Obool)), _u11372), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11369), _u11370), _u11371))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11369, tc_HOL_Obool)), _u11373), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11369), _u11370), _u11371))) | ~hBOOL(hAPP(hAPP(c_member(_u11369), _u11374), _u11372)) | ~hBOOL(hAPP(hAPP(c_member(_u11369), _u11375), _u11373)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11369, _u11369)), hAPP(hAPP(c_Product__Type_OPair(_u11369, _u11369), _u11374), _u11375)), _u11371)) | ( _u11372 = _u11373) )).
% 12.21/12.47 cnf(matrix-5490, plain, ( ( _u11376 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11377, _u11376), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11377), _u11376)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11377, _u11376)))) )).
% 12.21/12.47 cnf(matrix-5491, plain, ( ( hAPP(c_Relation_OImage(_u11378, _u11379, _u11380), hAPP(hAPP(c_Set_Oinsert(_u11378), _u11381), c_Orderings_Obot__class_Obot(tc_fun(_u11378, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u11379), hAPP(hAPP(c_COMBC(_u11379, tc_fun(tc_prod(_u11378, _u11379), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u11378, _u11379), tc_fun(tc_fun(tc_prod(_u11378, _u11379), tc_HOL_Obool), tc_HOL_Obool), _u11379), c_member(tc_prod(_u11378, _u11379))), hAPP(c_Product__Type_OPair(_u11378, _u11379), _u11381))), _u11380))) )).
% 12.21/12.47 cnf(matrix-5492, plain, ( ( hAPP(c_Relation_OImage(_u11382, _u11382, _u11383), hAPP(hAPP(c_Set_Oinsert(_u11382), _u11384), c_Orderings_Obot__class_Obot(tc_fun(_u11382, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11382, _u11382, _u11383), hAPP(hAPP(c_Set_Oinsert(_u11382), _u11385), c_Orderings_Obot__class_Obot(tc_fun(_u11382, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11382, _u11386, _u11383) | ~hBOOL(hAPP(hAPP(c_member(_u11382), _u11385), _u11386)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11382, _u11382)), hAPP(hAPP(c_Product__Type_OPair(_u11382, _u11382), _u11384), _u11385)), _u11383)) )).
% 12.21/12.47 cnf(matrix-5493, plain, ( ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~hBOOL(hAPP(hAPP(c_member(_u11387), _u11390), _u11388)) | ~hBOOL(hAPP(hAPP(c_member(_u11387), _u11391), _u11388)) | ( hAPP(c_Relation_OImage(_u11387, _u11387, _u11389), hAPP(hAPP(c_Set_Oinsert(_u11387), _u11390), c_Orderings_Obot__class_Obot(tc_fun(_u11387, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11387, _u11387, _u11389), hAPP(hAPP(c_Set_Oinsert(_u11387), _u11391), c_Orderings_Obot__class_Obot(tc_fun(_u11387, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11387, _u11387)), hAPP(hAPP(c_Product__Type_OPair(_u11387, _u11387), _u11390), _u11391)), _u11389)) )).
% 12.21/12.47 cnf(matrix-5494, plain, ( ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~hBOOL(hAPP(hAPP(c_member(_u11387), _u11390), _u11388)) | ~hBOOL(hAPP(hAPP(c_member(_u11387), _u11391), _u11388)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11387, _u11387)), hAPP(hAPP(c_Product__Type_OPair(_u11387, _u11387), _u11390), _u11391)), _u11389)) | ( hAPP(c_Relation_OImage(_u11387, _u11387, _u11389), hAPP(hAPP(c_Set_Oinsert(_u11387), _u11390), c_Orderings_Obot__class_Obot(tc_fun(_u11387, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11387, _u11387, _u11389), hAPP(hAPP(c_Set_Oinsert(_u11387), _u11391), c_Orderings_Obot__class_Obot(tc_fun(_u11387, tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-5495, plain, ( ~c_Equiv__Relations_Oequiv(_u11392, _u11393, _u11394) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11392, _u11392)), hAPP(hAPP(c_Product__Type_OPair(_u11392, _u11392), _u11395), _u11396)), _u11394)) | ( hAPP(c_Relation_OImage(_u11392, _u11392, _u11394), hAPP(hAPP(c_Set_Oinsert(_u11392), _u11395), c_Orderings_Obot__class_Obot(tc_fun(_u11392, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11392, _u11392, _u11394), hAPP(hAPP(c_Set_Oinsert(_u11392), _u11396), c_Orderings_Obot__class_Obot(tc_fun(_u11392, tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-5496, plain, ( ~c_Equiv__Relations_Oequiv(_u11392, _u11393, _u11394) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11392, _u11392)), hAPP(hAPP(c_Product__Type_OPair(_u11392, _u11392), _u11395), _u11396)), _u11394)) | hBOOL(hAPP(hAPP(c_member(_u11392), _u11395), _u11393)) )).
% 12.21/12.47 cnf(matrix-5497, plain, ( ~c_Equiv__Relations_Oequiv(_u11392, _u11393, _u11394) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11392, _u11392)), hAPP(hAPP(c_Product__Type_OPair(_u11392, _u11392), _u11395), _u11396)), _u11394)) | hBOOL(hAPP(hAPP(c_member(_u11392), _u11396), _u11393)) )).
% 12.21/12.47 cnf(matrix-5498, plain, ( ~c_Equiv__Relations_Oequiv(_u11392, _u11393, _u11394) | ( hAPP(c_Relation_OImage(_u11392, _u11392, _u11394), hAPP(hAPP(c_Set_Oinsert(_u11392), _u11395), c_Orderings_Obot__class_Obot(tc_fun(_u11392, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11392, _u11392, _u11394), hAPP(hAPP(c_Set_Oinsert(_u11392), _u11396), c_Orderings_Obot__class_Obot(tc_fun(_u11392, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11392), _u11395), _u11393)) | ~hBOOL(hAPP(hAPP(c_member(_u11392), _u11396), _u11393)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11392, _u11392)), hAPP(hAPP(c_Product__Type_OPair(_u11392, _u11392), _u11395), _u11396)), _u11394)) )).
% 12.21/12.47 cnf(matrix-5499, plain, ( ~c_Equiv__Relations_Oequiv(_u11397, _u11398, _u11399) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11397, _u11397)), hAPP(hAPP(c_Product__Type_OPair(_u11397, _u11397), _u11400), _u11401)), _u11399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11397, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11397, _u11397, _u11399), hAPP(hAPP(c_Set_Oinsert(_u11397), _u11400), c_Orderings_Obot__class_Obot(tc_fun(_u11397, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11397, _u11397, _u11399), hAPP(hAPP(c_Set_Oinsert(_u11397), _u11401), c_Orderings_Obot__class_Obot(tc_fun(_u11397, tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-5500, plain, ( ~c_Equiv__Relations_Oequiv(_u11402, _u11403, _u11404) | ~hBOOL(hAPP(hAPP(c_member(_u11402), _u11405), _u11403)) | ~hBOOL(hAPP(hAPP(c_member(_u11402), _u11406), _u11403)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11402), hAPP(hAPP(c_Set_Oinsert(_u11402), _u11405), c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool)))), _u11404) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11402), hAPP(hAPP(c_Set_Oinsert(_u11402), _u11406), c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool)))), _u11404)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11402, _u11402)), hAPP(hAPP(c_Product__Type_OPair(_u11402, _u11402), _u11405), _u11406)), _u11404)) )).
% 12.21/12.47 cnf(matrix-5501, plain, ( ~c_Equiv__Relations_Oequiv(_u11402, _u11403, _u11404) | ~hBOOL(hAPP(hAPP(c_member(_u11402), _u11405), _u11403)) | ~hBOOL(hAPP(hAPP(c_member(_u11402), _u11406), _u11403)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11402, _u11402)), hAPP(hAPP(c_Product__Type_OPair(_u11402, _u11402), _u11405), _u11406)), _u11404)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11402), hAPP(hAPP(c_Set_Oinsert(_u11402), _u11405), c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool)))), _u11404) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11402), hAPP(hAPP(c_Set_Oinsert(_u11402), _u11406), c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool)))), _u11404)) )).
% 12.21/12.47 cnf(matrix-5502, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11407, _u11408), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11409), _u11410))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11411, _u11408), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11412), _u11413))) | ( _u11408 = 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), _u11407), _u11411), _u11408), 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), _u11409), _u11412)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11410), _u11413)), _u11408))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11410), _u11413), _u11408)))) )).
% 12.21/12.47 cnf(matrix-5503, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11414, _u11415), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11416), _u11417))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11414), _u11415), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u11417), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11416)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11416)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u11417), 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), _u11415), _u11417))))) )).
% 12.21/12.47 cnf(matrix-5504, plain, ( ~c_Equiv__Relations_Oequiv(_u11418, _u11419, _u11420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11418, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11418, _u11418, _u11420), hAPP(hAPP(c_Set_Oinsert(_u11418), _u11421), c_Orderings_Obot__class_Obot(tc_fun(_u11418, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11418, _u11418, _u11420), hAPP(hAPP(c_Set_Oinsert(_u11418), _u11422), c_Orderings_Obot__class_Obot(tc_fun(_u11418, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11418), _u11421), _u11419)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11418, _u11418)), hAPP(hAPP(c_Product__Type_OPair(_u11418, _u11418), _u11422), _u11421)), _u11420)) )).
% 12.21/12.47 cnf(matrix-5505, plain, ( ~c_Equiv__Relations_Oequiv(_u11423, _u11424, _u11425) | ~hBOOL(hAPP(hAPP(c_member(_u11423), _u11426), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11423, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11423, _u11423, _u11425), hAPP(hAPP(c_Set_Oinsert(_u11423), _u11427), c_Orderings_Obot__class_Obot(tc_fun(_u11423, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11423, _u11423, _u11425), hAPP(hAPP(c_Set_Oinsert(_u11423), _u11428), c_Orderings_Obot__class_Obot(tc_fun(_u11423, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11423, _u11423)), hAPP(hAPP(c_Product__Type_OPair(_u11423, _u11423), _u11427), _u11428)), _u11425)) )).
% 12.21/12.47 cnf(matrix-5506, plain, ( ( _u11429 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11430), _u11431)), _u11432)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11429, _u11430), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11431), _u11432))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11430), _u11432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11432), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-5507, plain, ( ( _u11429 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11430), _u11431)), _u11432)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11429, _u11430), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11431), _u11432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11432), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11430)) )).
% 12.21/12.47 cnf(matrix-5508, plain, ( ( _u11429 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11430), _u11431)), _u11432)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11429, _u11430), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11431), _u11432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11432), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11430), _u11432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11432), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-5509, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11433, _u11434), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11435), _u11436))) | ( _u11434 = 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), _u11437), _u11433), _u11434), 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), _u11437), _u11435)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11437), _u11436)), _u11434))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11437), _u11436), _u11434)))) )).
% 12.21/12.47 cnf(matrix-5510, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11438, _u11439)), hAPP(hAPP(c_Product__Type_OPair(_u11438, _u11439), _u11440), _u11441)), _u11442)) | hBOOL(hAPP(hAPP(c_member(_u11443), hAPP(hAPP(_u11444, _u11440), _u11441)), hAPP(c_Set_Oimage(tc_prod(_u11438, _u11439), _u11443, hAPP(c_Product__Type_Oprod_Oprod__case(_u11438, _u11439, _u11443), _u11444)), _u11442))) )).
% 12.21/12.47 cnf(matrix-5511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11449, _u11447) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11449), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11447))) )).
% 12.21/12.47 cnf(matrix-5512, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11450, _u11448) = 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))) | ( _u11450 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-5513, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11450, _u11448) = 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))) | ( _u11448 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-5514, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u11450 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11448 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u11450, _u11448) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u11450), _u11448)), 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), _u11450))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11448)))) )).
% 12.21/12.47 cnf(matrix-5515, plain, ( ( hAPP(c_Divides_Oadjust(_u11451), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11452), _u11453)) = 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), _u11453), _u11451)), 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)))), _u11452)), 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)))), _u11452)), _u11453)))) )).
% 12.21/12.47 cnf(matrix-5516, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11458, tc_fun(_u11459, tc_HOL_Obool))), _u11457), _u11454), _u11455), _u11456)) | ~hBOOL(hAPP(hAPP(_u11454, _u11455), _u11456)) )).
% 12.21/12.47 cnf(matrix-5517, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11458, tc_fun(_u11459, tc_HOL_Obool))), _u11457), _u11454), _u11455), _u11456)) | ~hBOOL(hAPP(hAPP(_u11457, _u11455), _u11456)) )).
% 12.21/12.47 cnf(matrix-5518, plain, ( hBOOL(hAPP(hAPP(_u11462, _u11464), _u11465)) | hBOOL(hAPP(hAPP(_u11463, _u11464), _u11465)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11460, tc_fun(_u11461, tc_HOL_Obool))), _u11462), _u11463), _u11464), _u11465)) )).
% 12.21/12.47 cnf(matrix-5519, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11466, tc_fun(_u11467, tc_HOL_Obool))), _u11468), _u11469), _u11470), _u11471)) | hBOOL(hAPP(hAPP(_u11468, _u11470), _u11471)) )).
% 12.21/12.47 cnf(matrix-5520, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11466, tc_fun(_u11467, tc_HOL_Obool))), _u11468), _u11469), _u11470), _u11471)) | hBOOL(hAPP(hAPP(_u11469, _u11470), _u11471)) )).
% 12.21/12.47 cnf(matrix-5521, plain, ( ~hBOOL(hAPP(hAPP(_u11472, _u11473), _u11474)) | ~hBOOL(hAPP(hAPP(_u11475, _u11473), _u11474)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11476, tc_fun(_u11477, tc_HOL_Obool))), _u11472), _u11475), _u11473), _u11474)) )).
% 12.21/12.47 cnf(matrix-5522, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11478), _u11479), hAPP(hAPP(_u11480, _u11481), _u11482))) | hBOOL(hAPP(hAPP(c_member(_u11478), _u11479), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11483, _u11484, tc_fun(_u11478, tc_HOL_Obool)), _u11480), hAPP(hAPP(c_Product__Type_OPair(_u11483, _u11484), _u11481), _u11482)))) )).
% 12.21/12.47 cnf(matrix-5523, plain, ( ~hBOOL(hAPP(hAPP(_u11485, _u11486), _u11487)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11488, _u11489, tc_HOL_Obool), _u11485), hAPP(hAPP(c_Product__Type_OPair(_u11488, _u11489), _u11486), _u11487))) )).
% 12.21/12.47 cnf(matrix-5524, plain, ( ~hBOOL(hAPP(hAPP(_u11490, _u11491), _u11492)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11493, _u11494, tc_HOL_Obool), _u11490), hAPP(hAPP(c_Product__Type_OPair(_u11493, _u11494), _u11491), _u11492))) )).
% 12.21/12.47 cnf(matrix-5525, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11495, tc_fun(_u11496, tc_HOL_Obool))), _u11497), _u11498)) )).
% 12.21/12.47 cnf(matrix-5526, plain, ( hBOOL(hAPP(hAPP(hAPP(_u11502, _u11503), _u11504), _u11505)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11499, _u11500, tc_fun(_u11501, tc_HOL_Obool)), _u11502), hAPP(hAPP(c_Product__Type_OPair(_u11499, _u11500), _u11503), _u11504)), _u11505)) )).
% 12.21/12.47 cnf(matrix-5527, plain, ( c_Fun_Oinj__on(tc_prod(_u11506, _u11507), tc_prod(_u11507, _u11506), hAPP(c_Product__Type_Oprod_Oprod__case(_u11506, _u11507, tc_prod(_u11507, _u11506)), hAPP(c_COMBC(_u11507, _u11506, tc_prod(_u11507, _u11506)), c_Product__Type_OPair(_u11507, _u11506))), _u11508) )).
% 12.21/12.47 cnf(matrix-5528, plain, ( ~hBOOL(hAPP(hAPP(_u11509, _u11510), _u11511)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11512, tc_fun(_u11513, tc_HOL_Obool))), _u11514), _u11509), _u11510), _u11511)) )).
% 12.21/12.47 cnf(matrix-5529, plain, ( ~hBOOL(hAPP(hAPP(_u11515, _u11516), _u11517)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11518, tc_fun(_u11519, tc_HOL_Obool))), _u11515), _u11520), _u11516), _u11517)) )).
% 12.21/12.47 cnf(matrix-5530, plain, ( ~hBOOL(hAPP(hAPP(_u11521, _u11522), _u11523)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11524, tc_fun(_u11525, tc_HOL_Obool))), _u11521), _u11526)) | hBOOL(hAPP(hAPP(_u11526, _u11522), _u11523)) )).
% 12.21/12.47 cnf(matrix-5531, plain, ( ~hBOOL(hAPP(hAPP(_u11529, _u11531), _u11532)) | hBOOL(hAPP(hAPP(_u11530, _u11531), _u11532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11527, tc_fun(_u11528, tc_HOL_Obool))), _u11529), _u11530)) )).
% 12.21/12.47 cnf(matrix-5532, plain, ( hBOOL(hAPP(hAPP(_u11536, _u11537), _u11538)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11533, tc_fun(_u11534, tc_HOL_Obool))), _u11535), _u11536), _u11537), _u11538)) )).
% 12.21/12.47 cnf(matrix-5533, plain, ( hBOOL(hAPP(hAPP(_u11541, _u11543), _u11544)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11539, tc_fun(_u11540, tc_HOL_Obool))), _u11541), _u11542), _u11543), _u11544)) )).
% 12.21/12.47 cnf(matrix-5534, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11545, _u11546), _u11547), _u11548) != hAPP(hAPP(c_Product__Type_OPair(_u11545, _u11546), _u11549), _u11550)) | ( _u11547 = _u11549) )).
% 12.21/12.47 cnf(matrix-5535, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11545, _u11546), _u11547), _u11548) != hAPP(hAPP(c_Product__Type_OPair(_u11545, _u11546), _u11549), _u11550)) | ( _u11548 = _u11550) )).
% 12.21/12.47 cnf(matrix-5536, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11557, _u11559), _u11561), _u11563) != hAPP(hAPP(c_Product__Type_OPair(_u11557, _u11559), _u11565), _u11567)) | ( _u11561 = _u11565) )).
% 12.21/12.47 cnf(matrix-5537, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11557, _u11559), _u11561), _u11563) != hAPP(hAPP(c_Product__Type_OPair(_u11557, _u11559), _u11565), _u11567)) | ( _u11563 = _u11567) )).
% 12.21/12.47 cnf(matrix-5538, plain, ( ( _u11562 != _u11566) | ( _u11564 != _u11568) | ( hAPP(hAPP(c_Product__Type_OPair(_u11558, _u11560), _u11562), _u11564) = hAPP(hAPP(c_Product__Type_OPair(_u11558, _u11560), _u11566), _u11568)) )).
% 12.21/12.47 cnf(matrix-5539, plain, ( ~hBOOL(hAPP(_u11578, skolem271(_u11582, _u11580, _u11578))) | hBOOL(hAPP(_u11578, hAPP(hAPP(c_Product__Type_OPair(_u11580, _u11582), _u11571), _u11570))) )).
% 12.21/12.47 cnf(matrix-5540, plain, ( ~hBOOL(hAPP(_u11579, hAPP(hAPP(c_Product__Type_OPair(_u11581, _u11583), skolem272(_u11583, _u11581, _u11579)), skolem273(_u11583, _u11581, _u11579)))) | hBOOL(hAPP(_u11579, _u11574)) )).
% 12.21/12.47 cnf(matrix-5541, plain, ( ( _u11584 != _u11585) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11586, _u11587, _u11588), _u11589), _u11584) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11586, _u11587, _u11588), _u11589), _u11585)) )).
% 12.21/12.47 cnf(matrix-5542, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11590, _u11591, _u11592), _u11593), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11594, _u11595, tc_prod(_u11590, _u11591)), _u11596), _u11597)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11594, _u11595, _u11592), hAPP(hAPP(c_COMBB(tc_fun(_u11595, tc_prod(_u11590, _u11591)), tc_fun(_u11595, _u11592), _u11594), hAPP(c_COMBB(tc_prod(_u11590, _u11591), _u11592, _u11595), hAPP(c_Product__Type_Oprod_Oprod__case(_u11590, _u11591, _u11592), _u11593))), _u11596)), _u11597)) )).
% 12.21/12.47 cnf(matrix-5543, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11598, _u11599, _u11600), _u11601), hAPP(hAPP(c_Product__Type_OPair(_u11598, _u11599), _u11602), _u11603)) = hAPP(hAPP(_u11601, _u11602), _u11603)) )).
% 12.21/12.47 cnf(matrix-5544, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11604, _u11605, _u11606), _u11607), hAPP(hAPP(c_Product__Type_OPair(_u11604, _u11605), _u11608), _u11609)) = hAPP(hAPP(_u11607, _u11608), _u11609)) )).
% 12.21/12.47 cnf(matrix-5545, plain, ( hBOOL(hAPP(hAPP(_u11612, _u11613), _u11614)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11610, _u11611, tc_HOL_Obool), _u11612), hAPP(hAPP(c_Product__Type_OPair(_u11610, _u11611), _u11613), _u11614))) )).
% 12.21/12.47 cnf(matrix-5546, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u11615, _u11616, _u11617), hAPP(hAPP(c_COMBB(tc_fun(_u11616, tc_prod(_u11615, _u11616)), tc_fun(_u11616, _u11617), _u11615), hAPP(c_COMBB(tc_prod(_u11615, _u11616), _u11617, _u11616), _u11618)), c_Product__Type_OPair(_u11615, _u11616))) = _u11618) )).
% 12.21/12.47 cnf(matrix-5547, plain, ( ( c_HOL_OThe(tc_prod(_u11619, _u11620), hAPP(c_Product__Type_Oprod_Oprod__case(_u11619, _u11620, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11619, tc_fun(_u11620, tc_HOL_Obool), tc_fun(_u11620, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11620, tc_HOL_Obool), tc_fun(_u11620, tc_HOL_Obool)), _u11619), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11620)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11619), c_fconj), hAPP(c_fequal, _u11621)))), hAPP(c_fequal, _u11622)))) = hAPP(hAPP(c_Product__Type_OPair(_u11619, _u11620), _u11621), _u11622)) )).
% 12.21/12.47 cnf(matrix-5548, plain, ( ( c_HOL_OThe(tc_prod(_u11623, _u11624), _u11625) = c_HOL_OThe(tc_prod(_u11623, _u11624), hAPP(c_Product__Type_Oprod_Oprod__case(_u11623, _u11624, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11624, tc_prod(_u11623, _u11624)), tc_fun(_u11624, tc_HOL_Obool), _u11623), hAPP(c_COMBB(tc_prod(_u11623, _u11624), tc_HOL_Obool, _u11624), _u11625)), c_Product__Type_OPair(_u11623, _u11624))))) )).
% 12.21/12.47 cnf(matrix-5549, plain, ( ( c_Divides_Oadjust(_u11626) = 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)), _u11626))))), 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)), _u11626))))), 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)))))))) )).
% 12.21/12.47 cnf(matrix-5550, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11632, _u11634, _u11636), _u11638), _u11640)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11632, _u11634)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11638), _u11640)), _u11636)) )).
% 12.21/12.47 cnf(matrix-5551, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11633, _u11635)), hAPP(hAPP(c_Product__Type_OPair(_u11633, _u11635), _u11639), _u11641)), _u11637)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11633, _u11635, _u11637), _u11639), _u11641)) )).
% 12.21/12.47 cnf(matrix-5552, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u11642, _u11643) = 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), _u11642), _u11643)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11642, _u11643))) )).
% 12.21/12.47 cnf(matrix-5553, 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), _u11644))) | ~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), _u11644)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11644)) = 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), _u11644)))) )).
% 12.21/12.47 cnf(matrix-5554, 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), _u11644))) | 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), _u11644)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11644)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11644)), 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), _u11644))))) )).
% 12.21/12.47 cnf(matrix-5555, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11645), 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)), _u11646)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11645, _u11646), c_Divides_OnegDivAlg(_u11645, _u11646))) )).
% 12.21/12.47 cnf(matrix-5556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11647), 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)), _u11648)) | ( c_Divides_OnegDivAlg(_u11647, _u11648) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11647), _u11648)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11647, _u11648))) )).
% 12.21/12.47 cnf(matrix-5557, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11649) = 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), _u11649), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.47 cnf(matrix-5558, plain, ( ( c_Divides_OnegDivAlg(_u11652, _u11654) = 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), _u11652), _u11654))) | ~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), _u11652), _u11654))) )).
% 12.21/12.47 cnf(matrix-5559, plain, ( ( c_Divides_OnegDivAlg(_u11652, _u11654) = 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), _u11652), _u11654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11654), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-5560, 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), _u11653), _u11655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11655), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11653, _u11655) = hAPP(c_Divides_Oadjust(_u11655), c_Divides_OnegDivAlg(_u11653, 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)))), _u11655)))) )).
% 12.21/12.47 cnf(matrix-5561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11656)) | ~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), _u11657), _u11656))) | ( c_Divides_OnegDivAlg(_u11657, _u11656) = 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), _u11657), _u11656))) )).
% 12.21/12.47 cnf(matrix-5562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11656)) | 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), _u11657), _u11656))) | ( c_Divides_OnegDivAlg(_u11657, _u11656) = hAPP(c_Divides_Oadjust(_u11656), c_Divides_OnegDivAlg(_u11657, 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)))), _u11656)))) )).
% 12.21/12.47 cnf(matrix-5563, 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), _u11658))) | ~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), _u11659)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11659), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)) = 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), _u11659)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)))) )).
% 12.21/12.47 cnf(matrix-5564, 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), _u11658))) | 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), _u11659)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11659), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11658)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11659), 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), _u11658))))) )).
% 12.21/12.47 cnf(matrix-5565, plain, ( ~c_Nitpick_Orefl_H(_u11664, _u11666) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11664, _u11664)), hAPP(hAPP(c_Product__Type_OPair(_u11664, _u11664), _u11660), _u11660)), _u11666)) )).
% 12.21/12.47 cnf(matrix-5566, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11665, _u11665)), hAPP(hAPP(c_Product__Type_OPair(_u11665, _u11665), skolem274(_u11667, _u11665)), skolem274(_u11667, _u11665))), _u11667)) | c_Nitpick_Orefl_H(_u11665, _u11667) )).
% 12.21/12.47 cnf(matrix-5567, 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), _u11668))) | ~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), _u11668))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11668)) = 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))) )).
% 12.21/12.47 cnf(matrix-5568, 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), _u11668))) | 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), _u11668))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11668)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11668)), 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), _u11668))))) )).
% 12.21/12.47 cnf(matrix-5569, plain, ( ( c_Divides_OposDivAlg(_u11671, _u11673) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11671), _u11673)) )).
% 12.21/12.47 cnf(matrix-5570, plain, ( ( c_Divides_OposDivAlg(_u11671, _u11673) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11673), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-5571, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11672), _u11674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11674), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11672, _u11674) = hAPP(c_Divides_Oadjust(_u11674), c_Divides_OposDivAlg(_u11672, 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)))), _u11674)))) )).
% 12.21/12.47 cnf(matrix-5572, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11675) = 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))) )).
% 12.21/12.47 cnf(matrix-5573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11677)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11676, _u11677), c_Divides_OposDivAlg(_u11676, _u11677))) )).
% 12.21/12.47 cnf(matrix-5574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11679)) | ( c_Divides_OposDivAlg(_u11678, _u11679) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11678), _u11679)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11678, _u11679))) )).
% 12.21/12.47 cnf(matrix-5575, 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), _u11680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680)) = 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), _u11681))) )).
% 12.21/12.47 cnf(matrix-5576, 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), _u11680))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11680)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11681), 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), _u11680))))) )).
% 12.21/12.47 cnf(matrix-5577, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11683), _u11682)) | ( c_Divides_OposDivAlg(_u11683, _u11682) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11683)) )).
% 12.21/12.47 cnf(matrix-5578, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11683), _u11682)) | ( c_Divides_OposDivAlg(_u11683, _u11682) = hAPP(c_Divides_Oadjust(_u11682), c_Divides_OposDivAlg(_u11683, 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)))), _u11682)))) )).
% 12.21/12.47 cnf(matrix-5579, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11688)) | ( c_Divides_Odivmod__int(_u11686, _u11688) = c_Divides_OposDivAlg(_u11686, _u11688)) )).
% 12.21/12.47 cnf(matrix-5580, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11688)) | ( _u11686 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11686, _u11688) = 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))) )).
% 12.21/12.47 cnf(matrix-5581, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11688)) | ( _u11686 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11686, _u11688) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11686), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11688)))) )).
% 12.21/12.47 cnf(matrix-5582, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11689)) | ( c_Divides_Odivmod__int(_u11687, _u11689) = c_Divides_OnegDivAlg(_u11687, _u11689)) )).
% 12.21/12.47 cnf(matrix-5583, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11689)) | ( c_Divides_Odivmod__int(_u11687, _u11689) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11687), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11689)))) )).
% 12.21/12.47 cnf(matrix-5584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11690), _u11691)) | ( c_Divides_Odivmod__nat(_u11691, _u11690) = 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), _u11691), _u11690)), _u11690))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11691), _u11690), _u11690))) )).
% 12.21/12.47 cnf(matrix-5585, plain, ( ( _u11694 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11694, _u11696) = 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))) )).
% 12.21/12.47 cnf(matrix-5586, plain, ( ( _u11695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11697 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11695, _u11697) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11695)) )).
% 12.21/12.47 cnf(matrix-5587, plain, ( ( _u11695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11697 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11695, _u11697) = 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, _u11697))), 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)), _u11697)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11695))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11697), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11695), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u11695, _u11697)), 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), _u11697))))), c_Divides_Opdivmod(_u11695, _u11697))))) )).
% 12.21/12.47 cnf(matrix-5588, 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))) )).
% 12.21/12.47 cnf(matrix-5589, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11698, _u11699, _u11700, _u11701), hAPP(hAPP(c_Product__Type_OPair(_u11700, _u11698), _u11702), _u11703)) = hAPP(hAPP(c_Product__Type_OPair(_u11700, _u11699), _u11702), hAPP(_u11701, _u11703))) )).
% 12.21/12.47 cnf(matrix-5590, plain, ( ( c_Divides_Odivmod__nat(_u11704, 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)), _u11704)) )).
% 12.21/12.47 cnf(matrix-5591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11705), _u11706)) | ( c_Divides_Odivmod__nat(_u11705, _u11706) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11705)) )).
% 12.21/12.47 cnf(matrix-5592, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11707), _u11708)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11707), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11708))) )).
% 12.21/12.47 cnf(matrix-5593, plain, ( ( c_Divides_Odivmod__nat(_u11709, _u11710) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11709), _u11710)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11709, _u11710))) )).
% 12.21/12.47 cnf(matrix-5594, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11712)), _u11713)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11711, _u11712), hAPP(c_Divides_OnegateSnd, _u11713))) )).
% 12.21/12.47 cnf(matrix-5595, plain, ( ( c_Divides_Odivmod__nat(_u11718, _u11716) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11718)) | ( _u11716 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-5596, plain, ( ( c_Divides_Odivmod__nat(_u11718, _u11716) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11718), _u11716)) )).
% 12.21/12.47 cnf(matrix-5597, plain, ( ( _u11717 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11719), _u11717)) | ( c_Divides_Odivmod__nat(_u11719, _u11717) = 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), _u11719), _u11717), _u11717))) )).
% 12.21/12.47 cnf(matrix-5598, plain, ( ( c_Divides_Opdivmod(_u11720, _u11721) = 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), _u11720)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11721))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11720), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11721)))) )).
% 12.21/12.47 cnf(matrix-5599, plain, ( ( _u11724 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11726, _u11724) = 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), _u11726))) )).
% 12.21/12.47 cnf(matrix-5600, plain, ( ( _u11725 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11727, _u11725) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11727), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11725))) )).
% 12.21/12.47 cnf(matrix-5601, plain, ( ( _u11730 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11730, _u11732) = 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))) )).
% 12.21/12.47 cnf(matrix-5602, plain, ( ( _u11731 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11733 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11731, _u11733) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11731)) )).
% 12.21/12.47 cnf(matrix-5603, plain, ( ( _u11731 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11733 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11731, _u11733) = 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, _u11733))), 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, _u11731)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11733))), c_Divides_Opdivmod(_u11731, _u11733)), 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), _u11733))))), c_Divides_Opdivmod(_u11731, _u11733))))) )).
% 12.21/12.47 cnf(matrix-5604, plain, ( ~c_Equiv__Relations_Oequiv(_u11736, _u11737, _u11738) | ~c_Equiv__Relations_Ocongruent(_u11736, tc_fun(_u11739, tc_HOL_Obool), _u11738, _u11740) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11741), _u11740) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11742), _u11740)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11741), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11742), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ( _u11741 = _u11742) | hBOOL(hAPP(hAPP(c_member(_u11736), skolem275(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736)), _u11737)) )).
% 12.21/12.47 cnf(matrix-5605, plain, ( ~c_Equiv__Relations_Oequiv(_u11736, _u11737, _u11738) | ~c_Equiv__Relations_Ocongruent(_u11736, tc_fun(_u11739, tc_HOL_Obool), _u11738, _u11740) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11741), _u11740) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11742), _u11740)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11741), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11742), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ( _u11741 = _u11742) | hBOOL(hAPP(hAPP(c_member(_u11736), skolem276(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736)), _u11737)) )).
% 12.21/12.47 cnf(matrix-5606, plain, ( ~c_Equiv__Relations_Oequiv(_u11736, _u11737, _u11738) | ~c_Equiv__Relations_Ocongruent(_u11736, tc_fun(_u11739, tc_HOL_Obool), _u11738, _u11740) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11741), _u11740) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11742), _u11740)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11741), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11742), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ( _u11741 = _u11742) | ( hAPP(_u11740, skolem275(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736)) = hAPP(_u11740, skolem276(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736))) )).
% 12.21/12.47 cnf(matrix-5607, plain, ( ~c_Equiv__Relations_Oequiv(_u11736, _u11737, _u11738) | ~c_Equiv__Relations_Ocongruent(_u11736, tc_fun(_u11739, tc_HOL_Obool), _u11738, _u11740) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11741), _u11740) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11736, tc_fun(_u11739, tc_HOL_Obool)), _u11742), _u11740)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11741), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11736, tc_HOL_Obool)), _u11742), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11736), _u11737), _u11738))) | ( _u11741 = _u11742) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11736, _u11736)), hAPP(hAPP(c_Product__Type_OPair(_u11736, _u11736), skolem275(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736)), skolem276(_u11742, _u11741, _u11740, _u11739, _u11738, _u11737, _u11736))), _u11738)) )).
% 12.21/12.47 cnf(matrix-5608, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11743, _u11744), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11745), _u11746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11744)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11747), _u11743), _u11744), 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), _u11747), _u11745)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11747), _u11746)), _u11744))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11747), _u11746), _u11744)))) )).
% 12.21/12.47 cnf(matrix-5609, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11748, _u11749), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11750), _u11751))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11752)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11748, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11749), _u11752)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11750), _u11752)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11749), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11750, _u11752))), _u11751)))) )).
% 12.21/12.47 cnf(matrix-5610, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11753, _u11754), _u11755)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11753, _u11754), _u11756)) | ( _u11755 = _u11756) )).
% 12.21/12.47 cnf(matrix-5611, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11757, _u11758), c_Divides_Odivmod__nat(_u11757, _u11758))) )).
% 12.21/12.47 cnf(matrix-5612, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11759, _u11760), _u11761)) | ( c_Divides_Odivmod__nat(_u11759, _u11760) = _u11761) )).
% 12.21/12.47 cnf(matrix-5613, plain, ( ( c_Divides_Odivmod__nat(_u11762, _u11763) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11762, _u11763))) )).
% 12.21/12.47 cnf(matrix-5614, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11764, _u11765), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11766), _u11767))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11764, _u11765) = _u11767) )).
% 12.21/12.47 cnf(matrix-5615, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11768, _u11769), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11770), _u11771))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11768), _u11769) = _u11770) )).
% 12.21/12.47 cnf(matrix-5616, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11772, _u11773), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11772), _u11773)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11772, _u11773)))) )).
% 12.21/12.47 cnf(matrix-5617, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11774, _u11775), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11776), _u11777))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11778, _u11775), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11779), _u11780))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11775)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11774), _u11778), _u11775), 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), _u11776), _u11779)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11777), _u11780)), _u11775))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11777), _u11780), _u11775)))) )).
% 12.21/12.47 cnf(matrix-5618, 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), _u11781), _u11782))) | ( c_Divides_OnegDivAlg(_u11781, _u11782) = 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), _u11781), _u11782))) | ~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), _u11781), _u11782))) )).
% 12.21/12.47 cnf(matrix-5619, 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), _u11781), _u11782))) | ( c_Divides_OnegDivAlg(_u11781, _u11782) = 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), _u11781), _u11782))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11782), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-5620, 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), _u11781), _u11782))) | 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), _u11781), _u11782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11782), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11781, _u11782) = hAPP(c_Divides_Oadjust(_u11782), c_Divides_OnegDivAlg(_u11781, 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)))), _u11782)))) )).
% 12.21/12.47 cnf(matrix-5621, 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), _u11783), _u11784))) | ( c_Divides_OposDivAlg(_u11783, _u11784) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11783), _u11784)) )).
% 12.21/12.47 cnf(matrix-5622, 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), _u11783), _u11784))) | ( c_Divides_OposDivAlg(_u11783, _u11784) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11784), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-5623, 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), _u11783), _u11784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11783), _u11784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11784), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11783, _u11784) = hAPP(c_Divides_Oadjust(_u11784), c_Divides_OposDivAlg(_u11783, 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)))), _u11784)))) )).
% 12.21/12.47 cnf(matrix-5624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11785)), 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), _u11785)) = 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), _u11785)))))) )).
% 12.21/12.47 cnf(matrix-5625, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11792, _u11794, _u11796, _u11798), _u11800) != hAPP(c_Product__Type_Oapsnd(_u11792, _u11794, _u11796, _u11802), _u11800)) | ( hAPP(_u11798, hAPP(c_Product__Type_Osnd(_u11796, _u11792), _u11800)) = hAPP(_u11802, hAPP(c_Product__Type_Osnd(_u11796, _u11792), _u11800))) )).
% 12.21/12.47 cnf(matrix-5626, plain, ( ( hAPP(_u11799, hAPP(c_Product__Type_Osnd(_u11797, _u11793), _u11801)) != hAPP(_u11803, hAPP(c_Product__Type_Osnd(_u11797, _u11793), _u11801))) | ( hAPP(c_Product__Type_Oapsnd(_u11793, _u11795, _u11797, _u11799), _u11801) = hAPP(c_Product__Type_Oapsnd(_u11793, _u11795, _u11797, _u11803), _u11801)) )).
% 12.21/12.47 cnf(matrix-5627, plain, ( ( hAPP(c_Product__Type_Osnd(_u11804, _u11805), hAPP(c_Product__Type_Oapsnd(_u11806, _u11805, _u11804, _u11807), _u11808)) = hAPP(_u11807, hAPP(c_Product__Type_Osnd(_u11804, _u11806), _u11808))) )).
% 12.21/12.47 cnf(matrix-5628, plain, ( ( hAPP(c_Product__Type_Osnd(_u11809, _u11810), _u11811) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11809, _u11810, _u11810), hAPP(c_COMBK(tc_fun(_u11810, _u11810), _u11809), c_COMBI(_u11810))), _u11811)) )).
% 12.21/12.47 cnf(matrix-5629, plain, ( ( hAPP(c_Product__Type_Osnd(_u11812, _u11813), hAPP(hAPP(c_Product__Type_OPair(_u11812, _u11813), _u11814), _u11815)) = _u11815) )).
% 12.21/12.47 cnf(matrix-5630, plain, ( ( _u11819 = _u11820) | ( hAPP(c_Product__Type_Osnd(_u11816, _u11817), hAPP(hAPP(c_Product__Type_OPair(_u11816, _u11817), _u11818), _u11819)) != _u11820) )).
% 12.21/12.47 cnf(matrix-5631, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11821, _u11822) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11821, _u11822))) )).
% 12.21/12.47 cnf(matrix-5632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11823), 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)), _u11824)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11823, _u11824) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11823, _u11824))) )).
% 12.21/12.47 cnf(matrix-5633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11826)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11825, _u11826) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11825, _u11826))) )).
% 12.21/12.47 cnf(matrix-5634, 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), _u11827))) | ( 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), _u11827)) = 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), _u11827)))) )).
% 12.21/12.47 cnf(matrix-5635, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11829), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11828, _u11829) = 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), _u11828), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11829))))) )).
% 12.21/12.47 cnf(matrix-5636, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11830), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11831), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11830, _u11831) = 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), _u11830), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11831))))) )).
% 12.21/12.47 cnf(matrix-5637, 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), _u11832), _u11833))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11832, _u11833) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11832), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11833))) )).
% 12.21/12.47 cnf(matrix-5638, 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), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11832, _u11833) = 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))) | ( _u11832 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-5639, 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), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11832, _u11833) = 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))) | ( _u11833 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-5640, 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), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u11832 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11833 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u11832, _u11833) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u11832), _u11833)), 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), _u11832))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11833)))) )).
% 12.21/12.47 cnf(matrix-5641, 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), _u11836), _u11837))) | hBOOL(hAPP(hAPP(_u11838, _u11836), _u11837)) | 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), skolem277(_u11838, _u11837, _u11836)), skolem278(_u11838, _u11837, _u11836)))) )).
% 12.21/12.47 cnf(matrix-5642, 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), _u11836), _u11837))) | hBOOL(hAPP(hAPP(_u11838, _u11836), _u11837)) | 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), skolem277(_u11838, _u11837, _u11836)), skolem278(_u11838, _u11837, _u11836)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem278(_u11838, _u11837, _u11836)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11838, skolem277(_u11838, _u11837, _u11836)), 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)))), skolem278(_u11838, _u11837, _u11836)))) )).
% 12.21/12.47 cnf(matrix-5643, 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), _u11836), _u11837))) | hBOOL(hAPP(hAPP(_u11838, _u11836), _u11837)) | ~hBOOL(hAPP(hAPP(_u11838, skolem277(_u11838, _u11837, _u11836)), skolem278(_u11838, _u11837, _u11836))) )).
% 12.21/12.47 cnf(matrix-5644, 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), _u11841), _u11842))) | hBOOL(hAPP(hAPP(_u11843, _u11841), _u11842)) | 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), skolem279(_u11843, _u11842, _u11841)), skolem280(_u11843, _u11842, _u11841)))) )).
% 12.21/12.47 cnf(matrix-5645, 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), _u11841), _u11842))) | hBOOL(hAPP(hAPP(_u11843, _u11841), _u11842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem279(_u11843, _u11842, _u11841)), skolem280(_u11843, _u11842, _u11841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem280(_u11843, _u11842, _u11841)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11843, skolem279(_u11843, _u11842, _u11841)), 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)))), skolem280(_u11843, _u11842, _u11841)))) )).
% 12.21/12.47 cnf(matrix-5646, 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), _u11841), _u11842))) | hBOOL(hAPP(hAPP(_u11843, _u11841), _u11842)) | ~hBOOL(hAPP(hAPP(_u11843, skolem279(_u11843, _u11842, _u11841)), skolem280(_u11843, _u11842, _u11841))) )).
% 12.21/12.47 cnf(matrix-5647, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11844, _u11845) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11844, _u11845))) )).
% 12.21/12.47 cnf(matrix-5648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11846, tc_fun(_u11846, tc_HOL_Obool))), _u11847), _u11848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11846, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u11846, _u11848)), c_Wellfounded_Oaccp(_u11846, _u11847))) )).
% 12.21/12.47 cnf(matrix-5649, plain, ( ~c_Relation_Oirrefl(_u11853, _u11855) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11853, _u11853)), hAPP(hAPP(c_Product__Type_OPair(_u11853, _u11853), _u11849), _u11849)), _u11855)) )).
% 12.21/12.47 cnf(matrix-5650, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11854, _u11854)), hAPP(hAPP(c_Product__Type_OPair(_u11854, _u11854), skolem281(_u11856, _u11854)), skolem281(_u11856, _u11854))), _u11856)) | c_Relation_Oirrefl(_u11854, _u11856) )).
% 12.21/12.47 cnf(matrix-5651, 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), _u11859), _u11860))) | hBOOL(hAPP(hAPP(_u11861, _u11859), _u11860)) | 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), skolem282(_u11861, _u11860, _u11859)), skolem283(_u11861, _u11860, _u11859)))) )).
% 12.21/12.47 cnf(matrix-5652, 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), _u11859), _u11860))) | hBOOL(hAPP(hAPP(_u11861, _u11859), _u11860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem283(_u11861, _u11860, _u11859)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11861, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem282(_u11861, _u11860, _u11859))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem283(_u11861, _u11860, _u11859)))) )).
% 12.21/12.47 cnf(matrix-5653, 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), _u11859), _u11860))) | hBOOL(hAPP(hAPP(_u11861, _u11859), _u11860)) | ~hBOOL(hAPP(hAPP(_u11861, skolem282(_u11861, _u11860, _u11859)), skolem283(_u11861, _u11860, _u11859))) )).
% 12.21/12.47 cnf(matrix-5654, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11867, _u11869), _u11871)) | ~hBOOL(hAPP(hAPP(_u11869, _u11862), _u11871)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11867, _u11869), _u11862)) )).
% 12.21/12.47 cnf(matrix-5655, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11868, _u11870), _u11872)) | hBOOL(hAPP(hAPP(_u11870, skolem284(_u11872, _u11870, _u11868)), _u11872)) )).
% 12.21/12.47 cnf(matrix-5656, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11868, _u11870), _u11872)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11868, _u11870), skolem284(_u11872, _u11870, _u11868))) )).
% 12.21/12.47 cnf(matrix-5657, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11878, _u11880), _u11882)) | ~hBOOL(hAPP(hAPP(_u11880, _u11873), _u11882)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11878, _u11880), _u11873)) )).
% 12.21/12.47 cnf(matrix-5658, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11879, _u11881), _u11883)) | hBOOL(hAPP(hAPP(_u11881, skolem285(_u11883, _u11881, _u11879)), _u11883)) )).
% 12.21/12.47 cnf(matrix-5659, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11879, _u11881), _u11883)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11879, _u11881), skolem285(_u11883, _u11881, _u11879))) )).
% 12.21/12.47 cnf(matrix-5660, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11884, _u11885), _u11886)) | ~hBOOL(hAPP(hAPP(_u11885, _u11887), _u11886)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11884, _u11885), _u11887)) )).
% 12.21/12.47 cnf(matrix-5661, 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), _u11888), _u11889))) | ( _u11889 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u11888, _u11889) = _u11888) )).
% 12.21/12.47 cnf(matrix-5662, 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), _u11888), _u11889))) | ( _u11889 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u11888, _u11889) = c_Nitpick_Onat__gcd(_u11889, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11888, _u11889))) )).
% 12.21/12.47 cnf(matrix-5663, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u11890)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u11890)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-5664, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11901, _u11897)), hAPP(_u11901, _u11899))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11895, _u11895)), hAPP(hAPP(c_Product__Type_OPair(_u11895, _u11895), _u11897), _u11899)), hAPP(c_Wellfounded_Omeasure(_u11895), _u11901))) )).
% 12.21/12.47 cnf(matrix-5665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11902, _u11898)), hAPP(_u11902, _u11900))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11896, _u11896)), hAPP(hAPP(c_Product__Type_OPair(_u11896, _u11896), _u11898), _u11900)), hAPP(c_Wellfounded_Omeasure(_u11896), _u11902))) )).
% 12.21/12.47 cnf(matrix-5666, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-5667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11903)), 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), _u11903)) = 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), _u11903)))))) )).
% 12.21/12.47 cnf(matrix-5668, plain, ( ( hAPP(c_Int_Onat, _u11904) = 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, _u11904)), 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))))))) )).
% 12.21/12.47 cnf(matrix-5669, 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), _u11907), _u11908))) | hBOOL(hAPP(hAPP(_u11909, _u11907), _u11908)) | 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), skolem286(_u11909, _u11908, _u11907)), skolem287(_u11909, _u11908, _u11907)))) )).
% 12.21/12.47 cnf(matrix-5670, 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), _u11907), _u11908))) | hBOOL(hAPP(hAPP(_u11909, _u11907), _u11908)) | ( skolem287(_u11909, _u11908, _u11907) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u11909, skolem287(_u11909, _u11908, _u11907)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem286(_u11909, _u11908, _u11907), skolem287(_u11909, _u11908, _u11907)))) )).
% 12.21/12.47 cnf(matrix-5671, 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), _u11907), _u11908))) | hBOOL(hAPP(hAPP(_u11909, _u11907), _u11908)) | ~hBOOL(hAPP(hAPP(_u11909, skolem286(_u11909, _u11908, _u11907)), skolem287(_u11909, _u11908, _u11907))) )).
% 12.21/12.47 cnf(matrix-5672, plain, ( ( hAPP(c_Product__Type_Ofst(_u11910, _u11911), hAPP(c_Product__Type_Oapsnd(_u11912, _u11911, _u11910, _u11913), _u11914)) = hAPP(c_Product__Type_Ofst(_u11910, _u11912), _u11914)) )).
% 12.21/12.47 cnf(matrix-5673, plain, ( ( hAPP(c_Product__Type_Ofst(_u11915, _u11916), _u11917) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11915, _u11916, _u11915), c_COMBK(_u11915, _u11916)), _u11917)) )).
% 12.21/12.47 cnf(matrix-5674, plain, ( ( hAPP(c_Int_ORep__Integ, _u11920) != hAPP(c_Int_ORep__Integ, _u11922)) | ( _u11920 = _u11922) )).
% 12.21/12.47 cnf(matrix-5675, plain, ( ( _u11921 != _u11923) | ( hAPP(c_Int_ORep__Integ, _u11921) = hAPP(c_Int_ORep__Integ, _u11923)) )).
% 12.21/12.47 cnf(matrix-5676, plain, ( ( hAPP(c_Product__Type_Ofst(_u11924, _u11925), hAPP(hAPP(c_Product__Type_OPair(_u11924, _u11925), _u11926), _u11927)) = _u11926) )).
% 12.21/12.47 cnf(matrix-5677, plain, ( ( _u11930 = _u11932) | ( hAPP(c_Product__Type_Ofst(_u11928, _u11929), hAPP(hAPP(c_Product__Type_OPair(_u11928, _u11929), _u11930), _u11931)) != _u11932) )).
% 12.21/12.47 cnf(matrix-5678, plain, ( ( _u11937 != _u11939) | ( hAPP(c_Product__Type_Ofst(_u11941, _u11943), _u11937) = hAPP(c_Product__Type_Ofst(_u11941, _u11943), _u11939)) )).
% 12.21/12.47 cnf(matrix-5679, plain, ( ( _u11937 != _u11939) | ( hAPP(c_Product__Type_Osnd(_u11941, _u11943), _u11937) = hAPP(c_Product__Type_Osnd(_u11941, _u11943), _u11939)) )).
% 12.21/12.47 cnf(matrix-5680, plain, ( ( hAPP(c_Product__Type_Ofst(_u11942, _u11944), _u11938) != hAPP(c_Product__Type_Ofst(_u11942, _u11944), _u11940)) | ( hAPP(c_Product__Type_Osnd(_u11942, _u11944), _u11938) != hAPP(c_Product__Type_Osnd(_u11942, _u11944), _u11940)) | ( _u11938 = _u11940) )).
% 12.21/12.47 cnf(matrix-5681, plain, ( ( hAPP(c_Product__Type_Ofst(_u11945, _u11946), _u11947) != hAPP(c_Product__Type_Ofst(_u11945, _u11946), _u11948)) | ( hAPP(c_Product__Type_Osnd(_u11945, _u11946), _u11947) != hAPP(c_Product__Type_Osnd(_u11945, _u11946), _u11948)) | ( _u11947 = _u11948) )).
% 12.21/12.47 cnf(matrix-5682, plain, ( ( _u11949 = hAPP(hAPP(c_Product__Type_OPair(_u11950, _u11951), hAPP(c_Product__Type_Ofst(_u11950, _u11951), _u11949)), hAPP(c_Product__Type_Osnd(_u11950, _u11951), _u11949))) )).
% 12.21/12.47 cnf(matrix-5683, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11952, _u11953), hAPP(c_Product__Type_Ofst(_u11952, _u11953), _u11954)), hAPP(c_Product__Type_Osnd(_u11952, _u11953), _u11954)) = _u11954) )).
% 12.21/12.47 cnf(matrix-5684, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11955, _u11956, _u11957), _u11958), _u11959) = hAPP(hAPP(_u11958, hAPP(c_Product__Type_Ofst(_u11955, _u11956), _u11959)), hAPP(c_Product__Type_Osnd(_u11955, _u11956), _u11959))) )).
% 12.21/12.47 cnf(matrix-5685, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11960), _u11961) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11960, _u11961))) )).
% 12.21/12.47 cnf(matrix-5686, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u11962, _u11963), _u11963, _u11964), hAPP(hAPP(c_COMBB(_u11965, tc_fun(_u11963, _u11964), tc_prod(_u11962, _u11963)), _u11966), hAPP(hAPP(c_COMBB(_u11962, _u11965, tc_prod(_u11962, _u11963)), _u11967), c_Product__Type_Ofst(_u11962, _u11963)))), c_Product__Type_Osnd(_u11962, _u11963)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11962, _u11963, _u11964), hAPP(hAPP(c_COMBB(_u11965, tc_fun(_u11963, _u11964), _u11962), _u11966), _u11967))) )).
% 12.21/12.47 cnf(matrix-5687, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11968, _u11969, _u11970), _u11971), _u11972) = hAPP(hAPP(_u11971, hAPP(c_Product__Type_Ofst(_u11968, _u11969), _u11972)), hAPP(c_Product__Type_Osnd(_u11968, _u11969), _u11972))) )).
% 12.21/12.47 cnf(matrix-5688, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11973, _u11974, _u11975), _u11976), _u11977) = hAPP(hAPP(_u11976, hAPP(c_Product__Type_Ofst(_u11973, _u11974), _u11977)), hAPP(c_Product__Type_Osnd(_u11973, _u11974), _u11977))) )).
% 12.21/12.47 cnf(matrix-5689, plain, ( ( c_HOL_OThe(tc_prod(_u11978, _u11979), hAPP(c_Product__Type_Oprod_Oprod__case(_u11978, _u11979, tc_HOL_Obool), _u11980)) = c_HOL_OThe(tc_prod(_u11978, _u11979), hAPP(hAPP(c_COMBS(tc_prod(_u11978, _u11979), _u11979, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11978, tc_fun(_u11979, tc_HOL_Obool), tc_prod(_u11978, _u11979)), _u11980), c_Product__Type_Ofst(_u11978, _u11979))), c_Product__Type_Osnd(_u11978, _u11979)))) )).
% 12.21/12.47 cnf(matrix-5690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11981), 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)), _u11982)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11981), _u11982) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11981, _u11982))) )).
% 12.21/12.47 cnf(matrix-5691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11984)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11983), _u11984) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11983, _u11984))) )).
% 12.21/12.47 cnf(matrix-5692, 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), _u11985))) | ( 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), _u11985)) = 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), _u11985)))) )).
% 12.21/12.47 cnf(matrix-5693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11986)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11987), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11986), _u11987) = 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), _u11986), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11987))))) )).
% 12.21/12.47 cnf(matrix-5694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11988), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11989), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11988), _u11989) = 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), _u11988), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11989))))) )).
% 12.21/12.47 cnf(matrix-5695, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u11990, _u11991, _u11992, _u11993, _u11994) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u11992, hAPP(c_Product__Type_Ofst(_u11990, _u11991), _u11994))), hAPP(_u11993, hAPP(c_Product__Type_Osnd(_u11990, _u11991), _u11994)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-5696, plain, ( ~hBOOL(hAPP(hAPP(_u11995, _u11996), _u11997)) | hBOOL(hAPP(hAPP(_u11995, hAPP(c_Product__Type_Osnd(_u11998, _u11999), hAPP(hAPP(c_Product__Type_OPair(_u11998, _u11999), _u11997), _u11996))), hAPP(c_Product__Type_Ofst(_u11998, _u11999), hAPP(hAPP(c_Product__Type_OPair(_u11998, _u11999), _u11997), _u11996)))) )).
% 12.21/12.47 cnf(matrix-5697, plain, ( ~hBOOL(hAPP(_u12000, _u12001)) | ~hBOOL(hAPP(_u12002, _u12003)) | hBOOL(hAPP(_u12000, hAPP(c_Product__Type_Ofst(_u12004, _u12005), hAPP(hAPP(c_Product__Type_OPair(_u12004, _u12005), _u12001), _u12003)))) )).
% 12.21/12.47 cnf(matrix-5698, plain, ( ~hBOOL(hAPP(_u12000, _u12001)) | ~hBOOL(hAPP(_u12002, _u12003)) | hBOOL(hAPP(_u12002, hAPP(c_Product__Type_Osnd(_u12004, _u12005), hAPP(hAPP(c_Product__Type_OPair(_u12004, _u12005), _u12001), _u12003)))) )).
% 12.21/12.47 cnf(matrix-5699, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u12006), _u12007) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u12006, _u12007))) )).
% 12.21/12.47 cnf(matrix-5700, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12011 = 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), _u12015)), _u12013)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12015))) )).
% 12.21/12.47 cnf(matrix-5701, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12015) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-5702, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 = 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)), _u12013)) | 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), _u12015))) )).
% 12.21/12.47 cnf(matrix-5703, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 = 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)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12015)), _u12013)) )).
% 12.21/12.47 cnf(matrix-5704, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 = 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)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12013), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12015))) )).
% 12.21/12.47 cnf(matrix-5705, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12011, _u12013), _u12015)) | ( _u12013 = 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)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12015)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-5706, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( _u12014 = 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)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12014), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-5707, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( _u12014 = 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), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12014)) )).
% 12.21/12.47 cnf(matrix-5708, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( _u12014 = 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), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12014), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-5709, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12016) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u12014 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-5710, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12016) != 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)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12014), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-5711, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12016) != 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), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12014)) )).
% 12.21/12.47 cnf(matrix-5712, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12012, _u12014), _u12016)) | ( _u12012 != 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), _u12016)), _u12014)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12016) != 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), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), _u12014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12014), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12016)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-5713, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12017, _u12018), _u12019), _u12020) = hAPP(c_Set_OCollect(tc_prod(_u12018, _u12018)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12018, _u12018, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12018, tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_fun(_u12018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12018, tc_fun(tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_fun(_u12018, tc_HOL_Obool)), _u12018), c_COMBC(_u12018, tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12018, tc_prod(_u12017, _u12017)), tc_fun(_u12018, tc_fun(tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_HOL_Obool)), _u12018), hAPP(c_COMBB(tc_prod(_u12017, _u12017), tc_fun(tc_fun(tc_prod(_u12017, _u12017), tc_HOL_Obool), tc_HOL_Obool), _u12018), c_member(tc_prod(_u12017, _u12017)))), hAPP(hAPP(c_COMBC(_u12018, tc_fun(_u12018, _u12017), tc_fun(_u12018, tc_prod(_u12017, _u12017))), hAPP(hAPP(c_COMBB(tc_fun(_u12017, tc_prod(_u12017, _u12017)), tc_fun(tc_fun(_u12018, _u12017), tc_fun(_u12018, tc_prod(_u12017, _u12017))), _u12018), c_COMBB(_u12017, tc_prod(_u12017, _u12017), _u12018)), hAPP(hAPP(c_COMBB(_u12017, tc_fun(_u12017, tc_prod(_u12017, _u12017)), _u12018), c_Product__Type_OPair(_u12017, _u12017)), _u12020))), _u12020)))), _u12019)))) )).
% 12.21/12.47 cnf(matrix-5714, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u12021, _u12022)), hAPP(_u12021, _u12023))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12024, _u12024)), hAPP(hAPP(c_Product__Type_OPair(_u12024, _u12024), _u12022), _u12023)), _u12025)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12024, _u12024)), hAPP(hAPP(c_Product__Type_OPair(_u12024, _u12024), _u12022), _u12023)), c_Wellfounded_Omlex__prod(_u12024, _u12021, _u12025))) )).
% 12.21/12.47 cnf(matrix-5715, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u12026)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u12026)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-5716, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u12029) != c_Code__Numeral_OSuc__code__numeral(_u12031)) | ( _u12029 = _u12031) )).
% 12.21/12.47 cnf(matrix-5717, plain, ( ( _u12030 != _u12032) | ( c_Code__Numeral_OSuc__code__numeral(_u12030) = c_Code__Numeral_OSuc__code__numeral(_u12032)) )).
% 12.21/12.47 cnf(matrix-5718, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u12033) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.47 cnf(matrix-5719, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u12034)) )).
% 12.21/12.47 cnf(matrix-5720, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12047, _u12047)), hAPP(hAPP(c_Product__Type_OPair(_u12047, _u12047), hAPP(_u12051, _u12043)), hAPP(_u12051, _u12045))), _u12049)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12041, _u12041)), hAPP(hAPP(c_Product__Type_OPair(_u12041, _u12041), _u12043), _u12045)), hAPP(hAPP(c_Relation_Oinv__image(_u12047, _u12041), _u12049), _u12051))) )).
% 12.21/12.47 cnf(matrix-5721, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12048, _u12048)), hAPP(hAPP(c_Product__Type_OPair(_u12048, _u12048), hAPP(_u12052, _u12044)), hAPP(_u12052, _u12046))), _u12050)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12042, _u12042)), hAPP(hAPP(c_Product__Type_OPair(_u12042, _u12042), _u12044), _u12046)), hAPP(hAPP(c_Relation_Oinv__image(_u12048, _u12042), _u12050), _u12052))) )).
% 12.21/12.47 cnf(matrix-5722, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u12053)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u12053) )).
% 12.21/12.47 cnf(matrix-5723, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12054, _u12055)), hAPP(_u12054, _u12056))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12057, _u12057)), hAPP(hAPP(c_Product__Type_OPair(_u12057, _u12057), _u12055), _u12056)), c_Wellfounded_Omlex__prod(_u12057, _u12054, _u12058))) )).
% 12.21/12.47 cnf(matrix-5724, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u12059)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u12059)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-5725, plain, ( ( c_FunDef_Orp__inv__image(_u12060, _u12061) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))))), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)), tc_fun(tc_fun(_u12061, _u12060), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool)), c_COMBS(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)), tc_fun(tc_fun(_u12061, _u12060), tc_fun(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), tc_fun(tc_prod(_u12060, _u12060), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool))), tc_fun(_u12061, _u12060)), c_Product__Type_OPair(tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool), tc_fun(tc_prod(_u12061, _u12061), tc_HOL_Obool)))), c_Relation_Oinv__image(_u12060, _u12061))))), c_Relation_Oinv__image(_u12060, _u12061)))) )).
% 12.21/12.47 cnf(matrix-5726, plain, ( ( c_Wellfounded_Ofinite__psubset(_u12062) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12062, tc_HOL_Obool), tc_fun(_u12062, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12062, tc_HOL_Obool), tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12062, tc_HOL_Obool), tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12062, tc_HOL_Obool)), c_COMBS(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12062, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12062, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12062, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12062, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12062))))) )).
% 12.21/12.47 cnf(matrix-5727, 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)) )).
% 12.21/12.47 cnf(matrix-5728, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12066, tc_HOL_Obool), tc_fun(_u12066, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12066, tc_HOL_Obool), tc_fun(_u12066, tc_HOL_Obool)), _u12068), _u12070)), c_Wellfounded_Ofinite__psubset(_u12066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12066, tc_HOL_Obool)), _u12068), _u12070)) )).
% 12.21/12.47 cnf(matrix-5729, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12066, tc_HOL_Obool), tc_fun(_u12066, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12066, tc_HOL_Obool), tc_fun(_u12066, tc_HOL_Obool)), _u12068), _u12070)), c_Wellfounded_Ofinite__psubset(_u12066))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12066), _u12070)) )).
% 12.21/12.47 cnf(matrix-5730, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12067, tc_HOL_Obool)), _u12069), _u12071)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12067), _u12071)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12067, tc_HOL_Obool), tc_fun(_u12067, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12067, tc_HOL_Obool), tc_fun(_u12067, tc_HOL_Obool)), _u12069), _u12071)), c_Wellfounded_Ofinite__psubset(_u12067))) )).
% 12.21/12.47 cnf(matrix-5731, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12072)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u12072)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-5732, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u12073, _u12074, _u12075, _u12076, hAPP(hAPP(c_Product__Type_OPair(_u12073, _u12074), _u12077), _u12078)) = hAPP(hAPP(_u12076, _u12077), _u12078)) )).
% 12.21/12.47 cnf(matrix-5733, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12087, _u12089), tc_prod(_u12087, _u12089))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12087, _u12089), tc_prod(_u12087, _u12089)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12089), _u12091), _u12093)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12089), _u12095), _u12097))), c_Wellfounded_Olex__prod(_u12087, _u12089, _u12099, _u12101))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12087, _u12087)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12087), _u12091), _u12095)), _u12099)) | ( _u12091 = _u12095) )).
% 12.21/12.47 cnf(matrix-5734, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12087, _u12089), tc_prod(_u12087, _u12089))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12087, _u12089), tc_prod(_u12087, _u12089)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12089), _u12091), _u12093)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12089), _u12095), _u12097))), c_Wellfounded_Olex__prod(_u12087, _u12089, _u12099, _u12101))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12087, _u12087)), hAPP(hAPP(c_Product__Type_OPair(_u12087, _u12087), _u12091), _u12095)), _u12099)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12089, _u12089)), hAPP(hAPP(c_Product__Type_OPair(_u12089, _u12089), _u12093), _u12097)), _u12101)) )).
% 12.21/12.47 cnf(matrix-5735, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12088, _u12090), tc_prod(_u12088, _u12090))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12088, _u12090), tc_prod(_u12088, _u12090)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12090), _u12092), _u12094)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12090), _u12096), _u12098))), c_Wellfounded_Olex__prod(_u12088, _u12090, _u12100, _u12102))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12088, _u12088)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12088), _u12092), _u12096)), _u12100)) )).
% 12.21/12.47 cnf(matrix-5736, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12088, _u12090), tc_prod(_u12088, _u12090))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12088, _u12090), tc_prod(_u12088, _u12090)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12090), _u12092), _u12094)), hAPP(hAPP(c_Product__Type_OPair(_u12088, _u12090), _u12096), _u12098))), c_Wellfounded_Olex__prod(_u12088, _u12090, _u12100, _u12102))) | ( _u12092 != _u12096) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12090, _u12090)), hAPP(hAPP(c_Product__Type_OPair(_u12090, _u12090), _u12094), _u12098)), _u12102)) )).
% 12.21/12.47 cnf(matrix-5737, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u12103) = _u12103) )).
% 12.21/12.47 cnf(matrix-5738, 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)) )).
% 12.21/12.47 cnf(matrix-5739, plain, ( ~hBOOL(hAPP(_u12104, _u12105)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12106, _u12106)), hAPP(hAPP(c_Product__Type_OPair(_u12106, _u12106), _u12107), _u12108)), hAPP(_u12109, _u12105))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12110, _u12106), tc_prod(_u12110, _u12106))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12110, _u12106), tc_prod(_u12110, _u12106)), hAPP(hAPP(c_Product__Type_OPair(_u12110, _u12106), _u12105), _u12107)), hAPP(hAPP(c_Product__Type_OPair(_u12110, _u12106), _u12105), _u12108))), c_Recdef_Osame__fst(_u12110, _u12106, _u12104, _u12109))) )).
% 12.21/12.47 cnf(matrix-5740, plain, ( ~c_Equiv__Relations_Oequiv(_u12113, c_Orderings_Otop__class_Otop(tc_fun(_u12113, tc_HOL_Obool)), _u12115) | c_Equiv__Relations_Oequivp(_u12113, hAPP(hAPP(c_COMBC(_u12113, tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_fun(_u12113, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12113, tc_fun(tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_fun(_u12113, tc_HOL_Obool)), _u12113), c_COMBC(_u12113, tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12113, tc_prod(_u12113, _u12113)), tc_fun(_u12113, tc_fun(tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_HOL_Obool)), _u12113), hAPP(c_COMBB(tc_prod(_u12113, _u12113), tc_fun(tc_fun(tc_prod(_u12113, _u12113), tc_HOL_Obool), tc_HOL_Obool), _u12113), c_member(tc_prod(_u12113, _u12113)))), c_Product__Type_OPair(_u12113, _u12113)))), _u12115)) )).
% 12.21/12.47 cnf(matrix-5741, plain, ( ~c_Equiv__Relations_Oequivp(_u12114, hAPP(hAPP(c_COMBC(_u12114, tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_fun(_u12114, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12114, tc_fun(tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_fun(_u12114, tc_HOL_Obool)), _u12114), c_COMBC(_u12114, tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12114, tc_prod(_u12114, _u12114)), tc_fun(_u12114, tc_fun(tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_HOL_Obool)), _u12114), hAPP(c_COMBB(tc_prod(_u12114, _u12114), tc_fun(tc_fun(tc_prod(_u12114, _u12114), tc_HOL_Obool), tc_HOL_Obool), _u12114), c_member(tc_prod(_u12114, _u12114)))), c_Product__Type_OPair(_u12114, _u12114)))), _u12116)) | c_Equiv__Relations_Oequiv(_u12114, c_Orderings_Otop__class_Otop(tc_fun(_u12114, tc_HOL_Obool)), _u12116) )).
% 12.21/12.47 cnf(matrix-5742, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12117, _u12118, _u12119, _u12120), hAPP(c_Product__Type_Oapfst(_u12121, _u12119, _u12117, _u12122), _u12123)) = hAPP(hAPP(c_Product__Type_OPair(_u12119, _u12118), hAPP(_u12122, hAPP(c_Product__Type_Ofst(_u12121, _u12117), _u12123))), hAPP(_u12120, hAPP(c_Product__Type_Osnd(_u12121, _u12117), _u12123)))) )).
% 12.21/12.47 cnf(matrix-5743, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12124, _u12125, _u12126, _u12127), hAPP(hAPP(c_Product__Type_OPair(_u12124, _u12126), _u12128), _u12129)) = hAPP(hAPP(c_Product__Type_OPair(_u12125, _u12126), hAPP(_u12127, _u12128)), _u12129)) )).
% 12.21/12.47 cnf(matrix-5744, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12136, _u12138, _u12140, _u12142), _u12144) != hAPP(c_Product__Type_Oapfst(_u12136, _u12138, _u12140, _u12146), _u12144)) | ( hAPP(_u12142, hAPP(c_Product__Type_Ofst(_u12136, _u12140), _u12144)) = hAPP(_u12146, hAPP(c_Product__Type_Ofst(_u12136, _u12140), _u12144))) )).
% 12.21/12.47 cnf(matrix-5745, plain, ( ( hAPP(_u12143, hAPP(c_Product__Type_Ofst(_u12137, _u12141), _u12145)) != hAPP(_u12147, hAPP(c_Product__Type_Ofst(_u12137, _u12141), _u12145))) | ( hAPP(c_Product__Type_Oapfst(_u12137, _u12139, _u12141, _u12143), _u12145) = hAPP(c_Product__Type_Oapfst(_u12137, _u12139, _u12141, _u12147), _u12145)) )).
% 12.21/12.47 cnf(matrix-5746, plain, ( ( hAPP(c_Product__Type_Ofst(_u12148, _u12149), hAPP(c_Product__Type_Oapfst(_u12150, _u12148, _u12149, _u12151), _u12152)) = hAPP(_u12151, hAPP(c_Product__Type_Ofst(_u12150, _u12149), _u12152))) )).
% 12.21/12.47 cnf(matrix-5747, plain, ( ( hAPP(c_Product__Type_Osnd(_u12153, _u12154), hAPP(c_Product__Type_Oapfst(_u12155, _u12153, _u12154, _u12156), _u12157)) = hAPP(c_Product__Type_Osnd(_u12155, _u12154), _u12157)) )).
% 12.21/12.47 cnf(matrix-5748, plain, ( c_Equiv__Relations_Oequivp(_u12158, c_fequal) )).
% 12.21/12.47 cnf(matrix-5749, plain, ( ~c_Equiv__Relations_Oequivp(_u12173, _u12175) | ~hBOOL(hAPP(hAPP(_u12175, _u12167), _u12165)) | ( hAPP(_u12175, _u12167) = hAPP(_u12175, _u12165)) )).
% 12.21/12.47 cnf(matrix-5750, plain, ( ~c_Equiv__Relations_Oequivp(_u12173, _u12175) | ( hAPP(_u12175, _u12168) != hAPP(_u12175, _u12166)) | hBOOL(hAPP(hAPP(_u12175, _u12168), _u12166)) )).
% 12.21/12.47 cnf(matrix-5751, plain, ( c_Equiv__Relations_Oequivp(_u12174, _u12176) | hBOOL(hAPP(hAPP(_u12176, skolem288(_u12176)), skolem289(_u12176))) | ( hAPP(_u12176, skolem290(_u12176)) = hAPP(_u12176, skolem291(_u12176))) )).
% 12.21/12.47 cnf(matrix-5752, plain, ( c_Equiv__Relations_Oequivp(_u12174, _u12176) | hBOOL(hAPP(hAPP(_u12176, skolem288(_u12176)), skolem289(_u12176))) | ~hBOOL(hAPP(hAPP(_u12176, skolem290(_u12176)), skolem291(_u12176))) )).
% 12.21/12.47 cnf(matrix-5753, plain, ( c_Equiv__Relations_Oequivp(_u12174, _u12176) | ( hAPP(_u12176, skolem288(_u12176)) != hAPP(_u12176, skolem289(_u12176))) | ( hAPP(_u12176, skolem290(_u12176)) = hAPP(_u12176, skolem291(_u12176))) )).
% 12.21/12.47 cnf(matrix-5754, plain, ( c_Equiv__Relations_Oequivp(_u12174, _u12176) | ( hAPP(_u12176, skolem288(_u12176)) != hAPP(_u12176, skolem289(_u12176))) | ~hBOOL(hAPP(hAPP(_u12176, skolem290(_u12176)), skolem291(_u12176))) )).
% 12.21/12.47 cnf(matrix-5755, plain, ( hBOOL(hAPP(hAPP(_u12178, _u12179), _u12179)) | ~c_Equiv__Relations_Oequivp(_u12177, _u12178) )).
% 12.21/12.47 cnf(matrix-5756, plain, ( ~hBOOL(hAPP(hAPP(_u12181, _u12182), _u12183)) | hBOOL(hAPP(hAPP(_u12181, _u12183), _u12182)) | ~c_Equiv__Relations_Oequivp(_u12180, _u12181) )).
% 12.21/12.47 cnf(matrix-5757, plain, ( ~hBOOL(hAPP(hAPP(_u12185, _u12186), _u12187)) | ~hBOOL(hAPP(hAPP(_u12185, _u12187), _u12188)) | hBOOL(hAPP(hAPP(_u12185, _u12186), _u12188)) | ~c_Equiv__Relations_Oequivp(_u12184, _u12185) )).
% 12.21/12.47 cnf(matrix-5758, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12189, _u12190, _u12191, _u12192), hAPP(c_Product__Type_Oapfst(_u12193, _u12191, _u12189, _u12194), _u12195)) = hAPP(c_Product__Type_Oapfst(_u12193, _u12191, _u12190, _u12194), hAPP(c_Product__Type_Oapsnd(_u12189, _u12190, _u12193, _u12192), _u12195))) )).
% 12.21/12.47 cnf(matrix-5759, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12196, _u12197, _u12198, _u12199), hAPP(c_Product__Type_Oapsnd(_u12200, _u12198, _u12196, _u12201), _u12202)) = hAPP(hAPP(c_Product__Type_OPair(_u12197, _u12198), hAPP(_u12199, hAPP(c_Product__Type_Ofst(_u12196, _u12200), _u12202))), hAPP(_u12201, hAPP(c_Product__Type_Osnd(_u12196, _u12200), _u12202)))) )).
% 12.21/12.47 cnf(matrix-5760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12203), _u12204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12205), _u12206)) | 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), _u12203), _u12205)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12204), _u12206))), c_FunDef_Opair__less)) )).
% 12.21/12.47 cnf(matrix-5761, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12208), _u12209), hAPP(c_Relation_OImage(_u12210, _u12208, _u12211), _u12212))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12210, _u12208)), hAPP(hAPP(c_Product__Type_OPair(_u12210, _u12208), skolem292(_u12212, _u12211, _u12210, _u12209, _u12208)), _u12209)), _u12211)) )).
% 12.21/12.47 cnf(matrix-5762, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12208), _u12209), hAPP(c_Relation_OImage(_u12210, _u12208, _u12211), _u12212))) | hBOOL(hAPP(hAPP(c_member(_u12210), skolem292(_u12212, _u12211, _u12210, _u12209, _u12208)), _u12212)) )).
% 12.21/12.47 cnf(matrix-5763, plain, ( ( c_Wellfounded_Omlex__prod(_u12213, _u12214, _u12215) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u12213), _u12213), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u12213, c_Wellfounded_Oless__than, _u12215)), hAPP(hAPP(c_COMBS(_u12213, _u12213, tc_prod(tc_Nat_Onat, _u12213)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u12213, tc_prod(tc_Nat_Onat, _u12213)), _u12213), c_Product__Type_OPair(tc_Nat_Onat, _u12213)), _u12214)), c_COMBI(_u12213)))) )).
% 12.21/12.47 cnf(matrix-5764, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 12.21/12.47 cnf(matrix-5765, plain, ( ( c_Wellfounded_Omeasure(_u12216) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u12216), c_Wellfounded_Oless__than)) )).
% 12.21/12.47 cnf(matrix-5766, 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), _u12219), _u12221)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12219), _u12221)) )).
% 12.21/12.47 cnf(matrix-5767, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12220), _u12222)) | 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), _u12220), _u12222)), c_Wellfounded_Oless__than)) )).
% 12.21/12.47 cnf(matrix-5768, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12223), _u12224)) | 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), _u12223), _u12225)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12224), _u12226))), c_FunDef_Opair__less)) )).
% 12.21/12.47 cnf(matrix-5769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12227), _u12228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12229), _u12230)) | 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), _u12227), _u12229)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12228), _u12230))), c_FunDef_Opair__leq)) )).
% 12.21/12.47 cnf(matrix-5770, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12231), _u12232)) | ~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)), _u12231), _u12233)), 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)), _u12232), _u12234)), 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)), _u12232), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12233), _u12234))), c_FunDef_Omin__strict)) )).
% 12.21/12.47 cnf(matrix-5771, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12235), _u12236)) | ~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)), _u12237), _u12235)), 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)), _u12238), _u12236)), 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)), _u12237), _u12238)), _u12236)), c_FunDef_Omax__strict)) )).
% 12.21/12.47 cnf(matrix-5772, plain, ( ( _u12239 = 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)), _u12239), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.21/12.47 cnf(matrix-5773, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12240)) | ( _u12240 = 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))), _u12240)), c_FunDef_Omax__strict)) )).
% 12.21/12.47 cnf(matrix-5774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12241), _u12242)) | 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), _u12241), _u12243)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12242), _u12244))), c_FunDef_Opair__leq)) )).
% 12.21/12.47 cnf(matrix-5775, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12245), _u12246)) | ~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)), _u12247), _u12245)), 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)), _u12248), _u12246)), 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)), _u12247), _u12248)), _u12246)), c_FunDef_Omax__weak)) )).
% 12.21/12.47 cnf(matrix-5776, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12249), _u12250)) | ~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)), _u12249), _u12251)), 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)), _u12250), _u12252)), 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)), _u12250), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12251), _u12252))), c_FunDef_Omin__weak)) )).
% 12.21/12.47 cnf(matrix-5777, plain, ( ( hAPP(c_Relation_OField(_u12253), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12253, _u12253)), hAPP(hAPP(c_Product__Type_OPair(_u12253, _u12253), _u12254), _u12255)), _u12256)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12253, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12253), _u12254), hAPP(hAPP(c_Set_Oinsert(_u12253), _u12255), c_Orderings_Obot__class_Obot(tc_fun(_u12253, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u12253), _u12256))) )).
% 12.21/12.47 cnf(matrix-5778, plain, ( ( hAPP(c_Relation_OField(_u12257), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12257, _u12257), tc_HOL_Obool), _u12258)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12257, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u12257, _u12257), tc_HOL_Obool), tc_fun(_u12257, tc_HOL_Obool), c_Relation_OField(_u12257)), _u12258))) )).
% 12.21/12.47 cnf(matrix-5779, plain, ( ( hAPP(c_Relation_OField(_u12259), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12259, _u12259), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12259, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5780, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12260, _u12260), tc_HOL_Obool)), _u12261), _u12262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12260, tc_HOL_Obool)), hAPP(c_Relation_OField(_u12260), _u12261)), hAPP(c_Relation_OField(_u12260), _u12262))) )).
% 12.21/12.47 cnf(matrix-5781, plain, ( ( hAPP(c_Relation_OField(_u12263), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool)), _u12264), _u12265)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12263, tc_HOL_Obool)), hAPP(c_Relation_OField(_u12263), _u12264)), hAPP(c_Relation_OField(_u12263), _u12265))) )).
% 12.21/12.47 cnf(matrix-5782, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12266, _u12266)), _u12267)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12266), hAPP(c_Relation_OField(_u12266), _u12267))) )).
% 12.21/12.47 cnf(matrix-5783, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12268)) | 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))), _u12268)), c_FunDef_Omax__weak)) )).
% 12.21/12.47 cnf(matrix-5784, 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)), _u12269), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.21/12.47 cnf(matrix-5785, 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))))) )).
% 12.21/12.47 cnf(matrix-5786, 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))))) )).
% 12.21/12.47 cnf(matrix-5787, plain, ( ( c_Relation_OId__on(_u12270, _u12271) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12270, tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool)), _u12271), hAPP(hAPP(c_COMBC(_u12270, tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool), tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u12270, _u12270), tc_fun(tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool), tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool)), _u12270), c_Set_Oinsert(tc_prod(_u12270, _u12270))), hAPP(hAPP(c_COMBS(_u12270, _u12270, tc_prod(_u12270, _u12270)), c_Product__Type_OPair(_u12270, _u12270)), c_COMBI(_u12270)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12270, _u12270), tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-5788, plain, ( ( c_Relation_OId__on(_u12272, _u12273) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12272, _u12272, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12272, tc_HOL_Obool, tc_fun(_u12272, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12272, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u12272, tc_HOL_Obool)), _u12272), c_COMBC(_u12272, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12272, tc_HOL_Obool), tc_fun(_u12272, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12272), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12272), c_fconj)), c_fequal))), _u12273))) )).
% 12.21/12.47 cnf(matrix-5789, plain, ( ( c_Relation_OId__on(_u12274, c_Orderings_Obot__class_Obot(tc_fun(_u12274, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12274, _u12274), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5790, plain, ( ( hAPP(c_Relation_OImage(_u12275, _u12275, c_Relation_OId__on(_u12275, _u12276)), _u12277) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12275, tc_HOL_Obool)), _u12276), _u12277)) )).
% 12.21/12.47 cnf(matrix-5791, plain, ( ( _u12278 != _u12279) | ~hBOOL(hAPP(hAPP(c_member(_u12280), _u12278), _u12281)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12280, _u12280)), hAPP(hAPP(c_Product__Type_OPair(_u12280, _u12280), _u12278), _u12279)), c_Relation_OId__on(_u12280, _u12281))) )).
% 12.21/12.47 cnf(matrix-5792, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12286, _u12286)), hAPP(hAPP(c_Product__Type_OPair(_u12286, _u12286), _u12288), _u12290)), c_Relation_OId__on(_u12286, _u12292))) | ( _u12288 = _u12290) )).
% 12.21/12.47 cnf(matrix-5793, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12286, _u12286)), hAPP(hAPP(c_Product__Type_OPair(_u12286, _u12286), _u12288), _u12290)), c_Relation_OId__on(_u12286, _u12292))) | hBOOL(hAPP(hAPP(c_member(_u12286), _u12288), _u12292)) )).
% 12.21/12.47 cnf(matrix-5794, plain, ( ( _u12289 != _u12291) | ~hBOOL(hAPP(hAPP(c_member(_u12287), _u12289), _u12293)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12287, _u12287)), hAPP(hAPP(c_Product__Type_OPair(_u12287, _u12287), _u12289), _u12291)), c_Relation_OId__on(_u12287, _u12293))) )).
% 12.21/12.47 cnf(matrix-5795, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.21/12.47 cnf(matrix-5796, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool)), _u12295), _u12296)), c_Wellfounded_Omax__ext(_u12294, _u12297))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool)), _u12298), _u12299)), c_Wellfounded_Omax__ext(_u12294, _u12297))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12294, tc_HOL_Obool), tc_fun(_u12294, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12294, tc_HOL_Obool)), _u12295), _u12298)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12294, tc_HOL_Obool)), _u12296), _u12299))), c_Wellfounded_Omax__ext(_u12294, _u12297))) )).
% 12.21/12.47 cnf(matrix-5797, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.21/12.47 cnf(matrix-5798, plain, ( ~c_Wellfounded_Omax__extp(_u12304, hAPP(hAPP(c_COMBC(_u12304, tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_fun(_u12304, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12304, tc_fun(tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_fun(_u12304, tc_HOL_Obool)), _u12304), c_COMBC(_u12304, tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12304, tc_prod(_u12304, _u12304)), tc_fun(_u12304, tc_fun(tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_HOL_Obool)), _u12304), hAPP(c_COMBB(tc_prod(_u12304, _u12304), tc_fun(tc_fun(tc_prod(_u12304, _u12304), tc_HOL_Obool), tc_HOL_Obool), _u12304), c_member(tc_prod(_u12304, _u12304)))), c_Product__Type_OPair(_u12304, _u12304)))), _u12306), _u12308, _u12310) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12304, tc_HOL_Obool), tc_fun(_u12304, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12304, tc_HOL_Obool), tc_fun(_u12304, tc_HOL_Obool)), _u12308), _u12310)), c_Wellfounded_Omax__ext(_u12304, _u12306))) )).
% 12.21/12.47 cnf(matrix-5799, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12305, tc_HOL_Obool), tc_fun(_u12305, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12305, tc_HOL_Obool), tc_fun(_u12305, tc_HOL_Obool)), _u12309), _u12311)), c_Wellfounded_Omax__ext(_u12305, _u12307))) | c_Wellfounded_Omax__extp(_u12305, hAPP(hAPP(c_COMBC(_u12305, tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_fun(_u12305, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12305, tc_fun(tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_fun(_u12305, tc_HOL_Obool)), _u12305), c_COMBC(_u12305, tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12305, tc_prod(_u12305, _u12305)), tc_fun(_u12305, tc_fun(tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_HOL_Obool)), _u12305), hAPP(c_COMBB(tc_prod(_u12305, _u12305), tc_fun(tc_fun(tc_prod(_u12305, _u12305), tc_HOL_Obool), tc_HOL_Obool), _u12305), c_member(tc_prod(_u12305, _u12305)))), c_Product__Type_OPair(_u12305, _u12305)))), _u12307), _u12309, _u12311) )).
% 12.21/12.47 cnf(matrix-5800, 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)) )).
% 12.21/12.47 cnf(matrix-5801, 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)) )).
% 12.21/12.47 cnf(matrix-5802, plain, ( ~c_FunDef_Oreduction__pair(_u12312, _u12313) | c_FunDef_Oreduction__pair(_u12314, hAPP(hAPP(c_FunDef_Orp__inv__image(_u12312, _u12314), _u12313), _u12315)) )).
% 12.21/12.47 cnf(matrix-5803, 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)), _u12318), 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)), _u12320), 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)), _u12318), _u12320)), c_Int_Ointrel)) )).
% 12.21/12.47 cnf(matrix-5804, 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)), _u12319), _u12321)), 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)), _u12319), 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)), _u12321), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-5805, 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), _u12326), _u12328)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12330), _u12332))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12326), _u12332) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12330), _u12328)) )).
% 12.21/12.47 cnf(matrix-5806, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12327), _u12333) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12331), _u12329)) | 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), _u12327), _u12329)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12331), _u12333))), c_Int_Ointrel)) )).
% 12.21/12.47 cnf(matrix-5807, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12335, _u12335)), _u12336), c_Relation_OId__on(_u12335, _u12337))) | hBOOL(hAPP(hAPP(c_member(_u12335), skolem293(_u12337, _u12336, _u12335)), _u12337)) )).
% 12.21/12.47 cnf(matrix-5808, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12335, _u12335)), _u12336), c_Relation_OId__on(_u12335, _u12337))) | ( _u12336 = hAPP(hAPP(c_Product__Type_OPair(_u12335, _u12335), skolem293(_u12337, _u12336, _u12335)), skolem293(_u12337, _u12336, _u12335))) )).
% 12.21/12.47 cnf(matrix-5809, 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) )).
% 12.21/12.47 cnf(matrix-5810, plain, ( ~class_Rings_Oring__1(_u12338) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u12338), 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), _u12339), _u12340)), 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(_u12338), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12338), _u12339)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12338), _u12340))) )).
% 12.21/12.47 cnf(matrix-5811, 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)))))) )).
% 12.21/12.47 cnf(matrix-5812, 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), _u12341), _u12342)), 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), _u12343), _u12344)), 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), _u12341), _u12343)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12342), _u12344))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12341), _u12344)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12342), _u12343)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-5813, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u12345)) = _u12345) )).
% 12.21/12.47 cnf(matrix-5814, 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), _u12346), _u12347)), 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), _u12347), _u12346)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-5815, 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)))))) )).
% 12.21/12.47 cnf(matrix-5816, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12348) = 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), _u12348), 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)))))) )).
% 12.21/12.47 cnf(matrix-5817, 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), _u12349), _u12350)), 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), _u12351), _u12352)), 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), _u12349), _u12351)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12350), _u12352))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-5818, 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), _u12353), _u12354)), 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), _u12353), _u12354)) )).
% 12.21/12.47 cnf(matrix-5819, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12355) = 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, _u12355)), 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)))))))) )).
% 12.21/12.47 cnf(matrix-5820, 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), _u12360), _u12362)), 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), _u12364), _u12366)), 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), _u12360), _u12366)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12364), _u12362))) )).
% 12.21/12.47 cnf(matrix-5821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12361), _u12367)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12365), _u12363))) | 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), _u12361), _u12363)), 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), _u12365), _u12367)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.21/12.47 cnf(matrix-5822, 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), _u12372), _u12374)), 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), _u12376), _u12378)), 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), _u12372), _u12378)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12376), _u12374))) )).
% 12.21/12.47 cnf(matrix-5823, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12373), _u12379)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12377), _u12375))) | 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), _u12373), _u12375)), 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), _u12377), _u12379)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.21/12.47 cnf(matrix-5824, plain, ( ( _u12382 = 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), skolem294(_u12382)), skolem295(_u12382))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-5825, 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)) )).
% 12.21/12.47 cnf(matrix-5826, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12383, _u12384, _u12385, c_Code__Numeral_OSuc__code__numeral(_u12386)) = hAPP(_u12385, _u12386)) )).
% 12.21/12.47 cnf(matrix-5827, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u12387)), c_Int_OInteg)) )).
% 12.21/12.47 cnf(matrix-5828, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12388, _u12389, _u12390, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u12389) )).
% 12.21/12.47 cnf(matrix-5829, 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) )).
% 12.21/12.47 cnf(matrix-5830, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12394, hAPP(hAPP(c_COMBC(_u12394, tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_fun(_u12394, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12394, tc_fun(tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_fun(_u12394, tc_HOL_Obool)), _u12394), c_COMBC(_u12394, tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12394, tc_prod(_u12394, _u12394)), tc_fun(_u12394, tc_fun(tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_HOL_Obool)), _u12394), hAPP(c_COMBB(tc_prod(_u12394, _u12394), tc_fun(tc_fun(tc_prod(_u12394, _u12394), tc_HOL_Obool), tc_HOL_Obool), _u12394), c_member(tc_prod(_u12394, _u12394)))), c_Product__Type_OPair(_u12394, _u12394)))), _u12396)), _u12398)) | hBOOL(hAPP(hAPP(c_member(_u12394), _u12398), c_Wellfounded_Oacc(_u12394, _u12396))) )).
% 12.21/12.47 cnf(matrix-5831, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12395), _u12399), c_Wellfounded_Oacc(_u12395, _u12397))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12395, hAPP(hAPP(c_COMBC(_u12395, tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_fun(_u12395, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12395, tc_fun(tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_fun(_u12395, tc_HOL_Obool)), _u12395), c_COMBC(_u12395, tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12395, tc_prod(_u12395, _u12395)), tc_fun(_u12395, tc_fun(tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_HOL_Obool)), _u12395), hAPP(c_COMBB(tc_prod(_u12395, _u12395), tc_fun(tc_fun(tc_prod(_u12395, _u12395), tc_HOL_Obool), tc_HOL_Obool), _u12395), c_member(tc_prod(_u12395, _u12395)))), c_Product__Type_OPair(_u12395, _u12395)))), _u12397)), _u12399)) )).
% 12.21/12.47 cnf(matrix-5832, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12400, _u12401, _u12402), _u12403), _u12404) = hAPP(c_Set_OCollect(tc_prod(_u12400, _u12402)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12400, _u12402, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool)), tc_fun(_u12402, tc_HOL_Obool), _u12400), hAPP(c_COMBB(tc_fun(_u12401, tc_HOL_Obool), tc_HOL_Obool, _u12402), c_HOL_OEx(_u12401))), hAPP(hAPP(c_COMBC(_u12400, tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool)), tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12401, tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), tc_fun(tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool)), tc_fun(_u12402, tc_fun(_u12401, tc_HOL_Obool))), _u12400), c_COMBB(tc_fun(_u12401, tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool), _u12402)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12401, tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), _u12400), c_COMBS(_u12401, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_HOL_Obool), tc_fun(_u12401, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12400), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12401), c_fconj)), hAPP(hAPP(c_COMBC(_u12400, tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_fun(tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), _u12400), c_COMBC(_u12401, tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_prod(_u12400, _u12401)), tc_fun(_u12401, tc_fun(tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_HOL_Obool)), _u12400), hAPP(c_COMBB(tc_prod(_u12400, _u12401), tc_fun(tc_fun(tc_prod(_u12400, _u12401), tc_HOL_Obool), tc_HOL_Obool), _u12401), c_member(tc_prod(_u12400, _u12401)))), c_Product__Type_OPair(_u12400, _u12401)))), _u12403))))), hAPP(hAPP(c_COMBC(_u12402, tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_fun(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_fun(_u12401, tc_HOL_Obool)), _u12402), c_COMBC(_u12401, tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12401, tc_prod(_u12401, _u12402)), tc_fun(_u12401, tc_fun(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_HOL_Obool)), _u12402), hAPP(c_COMBB(tc_prod(_u12401, _u12402), tc_fun(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool), tc_HOL_Obool), _u12401), c_member(tc_prod(_u12401, _u12402)))), hAPP(c_COMBC(_u12401, _u12402, tc_prod(_u12401, _u12402)), c_Product__Type_OPair(_u12401, _u12402))))), _u12404)))))) )).
% 12.21/12.47 cnf(matrix-5833, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12405, _u12406)), hAPP(hAPP(c_Product__Type_OPair(_u12405, _u12406), _u12407), _u12408)), _u12409)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12406, _u12410)), hAPP(hAPP(c_Product__Type_OPair(_u12406, _u12410), _u12408), _u12411)), _u12412)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12405, _u12410)), hAPP(hAPP(c_Product__Type_OPair(_u12405, _u12410), _u12407), _u12411)), hAPP(hAPP(c_Relation_Orel__comp(_u12405, _u12406, _u12410), _u12409), _u12412))) )).
% 12.21/12.47 cnf(matrix-5834, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12413, _u12414, _u12415), _u12416), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12417, tc_fun(tc_prod(_u12414, _u12415), tc_HOL_Obool)), _u12418), _u12419)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12417, tc_fun(tc_prod(_u12413, _u12415), tc_HOL_Obool)), _u12418), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12414, _u12415), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12415), tc_HOL_Obool), _u12417), hAPP(c_Relation_Orel__comp(_u12413, _u12414, _u12415), _u12416)), _u12419))) )).
% 12.21/12.47 cnf(matrix-5835, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12420, _u12421, _u12422), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12423, tc_fun(tc_prod(_u12420, _u12421), tc_HOL_Obool)), _u12424), _u12425)), _u12426) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12423, tc_fun(tc_prod(_u12420, _u12422), tc_HOL_Obool)), _u12424), hAPP(hAPP(c_COMBC(_u12423, tc_fun(tc_prod(_u12421, _u12422), tc_HOL_Obool), tc_fun(tc_prod(_u12420, _u12422), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12420, _u12421), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12421, _u12422), tc_HOL_Obool), tc_fun(tc_prod(_u12420, _u12422), tc_HOL_Obool)), _u12423), c_Relation_Orel__comp(_u12420, _u12421, _u12422)), _u12425)), _u12426))) )).
% 12.21/12.47 cnf(matrix-5836, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12427, _u12428, _u12429), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12427, _u12428), tc_HOL_Obool))), _u12430) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12427, _u12429), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5837, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12431, _u12432, _u12433), _u12434), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12432, _u12433), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12431, _u12433), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5838, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12435, _u12436, _u12437), _u12438), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12436, _u12437), tc_HOL_Obool)), _u12439), _u12440)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12435, _u12437), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12435, _u12436, _u12437), _u12438), _u12439)), hAPP(hAPP(c_Relation_Orel__comp(_u12435, _u12436, _u12437), _u12438), _u12440))) )).
% 12.21/12.47 cnf(matrix-5839, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12441, _u12442, _u12443), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12441, _u12442), tc_HOL_Obool)), _u12444), _u12445)), _u12446) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12441, _u12443), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12441, _u12442, _u12443), _u12444), _u12446)), hAPP(hAPP(c_Relation_Orel__comp(_u12441, _u12442, _u12443), _u12445), _u12446))) )).
% 12.21/12.47 cnf(matrix-5840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12447, _u12448), tc_HOL_Obool)), _u12449), _u12450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12448, _u12451), tc_HOL_Obool)), _u12452), _u12453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12447, _u12451), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12447, _u12448, _u12451), _u12449), _u12452)), hAPP(hAPP(c_Relation_Orel__comp(_u12447, _u12448, _u12451), _u12450), _u12453))) )).
% 12.21/12.47 cnf(matrix-5841, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12454, _u12455, _u12456), hAPP(hAPP(c_Relation_Orel__comp(_u12454, _u12457, _u12455), _u12458), _u12459)), _u12460) = hAPP(hAPP(c_Relation_Orel__comp(_u12454, _u12457, _u12456), _u12458), hAPP(hAPP(c_Relation_Orel__comp(_u12457, _u12455, _u12456), _u12459), _u12460))) )).
% 12.21/12.47 cnf(matrix-5842, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12461, _u12461, _u12461), _u12462), _u12463) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12461, _u12461), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12461, _u12461, _u12461), _u12464), _u12463) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12461, _u12461), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12461, _u12461, _u12461), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12461, _u12461), tc_HOL_Obool)), _u12462), _u12464)), _u12463) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12461, _u12461), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5843, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12465, _u12465, _u12465), _u12466), _u12467) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12465, _u12465), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12465, _u12465, _u12465), _u12466), _u12468) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12465, _u12465), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12465, _u12465, _u12465), _u12466), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12465, _u12465), tc_HOL_Obool)), _u12467), _u12468)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12465, _u12465), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12469, _u12469), tc_HOL_Obool)), _u12470), _u12471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12469, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12469, _u12471)), c_Wellfounded_Oacc(_u12469, _u12470))) )).
% 12.21/12.47 cnf(matrix-5845, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12477), _u12479), c_Wellfounded_Oacc(_u12477, _u12481))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12477, _u12477)), hAPP(hAPP(c_Product__Type_OPair(_u12477, _u12477), _u12472), _u12479)), _u12481)) | hBOOL(hAPP(hAPP(c_member(_u12477), _u12472), c_Wellfounded_Oacc(_u12477, _u12481))) )).
% 12.21/12.47 cnf(matrix-5846, plain, ( hBOOL(hAPP(hAPP(c_member(_u12478), _u12480), c_Wellfounded_Oacc(_u12478, _u12482))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12478, _u12478)), hAPP(hAPP(c_Product__Type_OPair(_u12478, _u12478), skolem296(_u12482, _u12480, _u12478)), _u12480)), _u12482)) )).
% 12.21/12.47 cnf(matrix-5847, plain, ( hBOOL(hAPP(hAPP(c_member(_u12478), _u12480), c_Wellfounded_Oacc(_u12478, _u12482))) | ~hBOOL(hAPP(hAPP(c_member(_u12478), skolem296(_u12482, _u12480, _u12478)), c_Wellfounded_Oacc(_u12478, _u12482))) )).
% 12.21/12.47 cnf(matrix-5848, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12483), _u12484), c_Wellfounded_Oacc(_u12483, _u12485))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12483, _u12483)), hAPP(hAPP(c_Product__Type_OPair(_u12483, _u12483), _u12486), _u12484)), _u12485)) | hBOOL(hAPP(hAPP(c_member(_u12483), _u12486), c_Wellfounded_Oacc(_u12483, _u12485))) )).
% 12.21/12.47 cnf(matrix-5849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12487, _u12487), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12487, _u12487, _u12487), _u12488), _u12489)), _u12488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12487, _u12488)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12487, _u12489)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12487, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12487, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12487, tc_HOL_Obool), tc_fun(_u12487, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12487, _u12488))) )).
% 12.21/12.47 cnf(matrix-5850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12490, _u12490), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12490, _u12490, _u12490), _u12491), _u12492)), _u12491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12490, _u12491)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12490, _u12492)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12490, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12490, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12490, tc_HOL_Obool), tc_fun(_u12490, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12490, _u12491))) )).
% 12.21/12.47 cnf(matrix-5851, plain, ( ~c_Typedef_Otype__definition(_u12493, _u12494, _u12495, _u12496, _u12497) | ( hAPP(c_Set_Oimage(_u12494, _u12493, _u12496), _u12497) = c_Orderings_Otop__class_Otop(tc_fun(_u12493, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5852, plain, ( ~c_Typedef_Otype__definition(_u12498, _u12499, _u12500, _u12501, _u12502) | ( hAPP(c_Set_Oimage(_u12498, _u12499, _u12500), c_Orderings_Otop__class_Otop(tc_fun(_u12498, tc_HOL_Obool))) = _u12502) )).
% 12.21/12.47 cnf(matrix-5853, plain, ( ~c_Typedef_Otype__definition(_u12503, _u12504, _u12505, _u12506, _u12507) | ~hBOOL(hAPP(hAPP(c_member(_u12504), _u12508), _u12507)) | ~hBOOL(hAPP(hAPP(c_member(_u12504), _u12509), _u12507)) | ( hAPP(_u12506, _u12508) != hAPP(_u12506, _u12509)) | ( _u12508 = _u12509) )).
% 12.21/12.47 cnf(matrix-5854, plain, ( ~c_Typedef_Otype__definition(_u12503, _u12504, _u12505, _u12506, _u12507) | ~hBOOL(hAPP(hAPP(c_member(_u12504), _u12508), _u12507)) | ~hBOOL(hAPP(hAPP(c_member(_u12504), _u12509), _u12507)) | ( _u12508 != _u12509) | ( hAPP(_u12506, _u12508) = hAPP(_u12506, _u12509)) )).
% 12.21/12.47 cnf(matrix-5855, plain, ( ~c_Typedef_Otype__definition(_u12510, _u12511, _u12512, _u12513, _u12514) | ( hAPP(_u12512, _u12515) != hAPP(_u12512, _u12516)) | ( _u12515 = _u12516) )).
% 12.21/12.47 cnf(matrix-5856, plain, ( ~c_Typedef_Otype__definition(_u12510, _u12511, _u12512, _u12513, _u12514) | ( _u12515 != _u12516) | ( hAPP(_u12512, _u12515) = hAPP(_u12512, _u12516)) )).
% 12.21/12.47 cnf(matrix-5857, plain, ( ( hAPP(_u12520, hAPP(_u12519, _u12522)) = _u12522) | ~c_Typedef_Otype__definition(_u12517, _u12518, _u12519, _u12520, _u12521) )).
% 12.21/12.47 cnf(matrix-5858, plain, ( hBOOL(hAPP(hAPP(c_member(_u12524), hAPP(_u12525, _u12528)), _u12527)) | ~c_Typedef_Otype__definition(_u12523, _u12524, _u12525, _u12526, _u12527) )).
% 12.21/12.47 cnf(matrix-5859, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12530), _u12534), _u12533)) | ( hAPP(_u12531, hAPP(_u12532, _u12534)) = _u12534) | ~c_Typedef_Otype__definition(_u12529, _u12530, _u12531, _u12532, _u12533) )).
% 12.21/12.47 cnf(matrix-5860, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12542, _u12544, _u12546, hAPP(hAPP(c_COMBC(_u12542, tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_fun(_u12544, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12544, tc_fun(tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_fun(_u12544, tc_HOL_Obool)), _u12542), c_COMBC(_u12544, tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12544, tc_prod(_u12542, _u12544)), tc_fun(_u12544, tc_fun(tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_HOL_Obool)), _u12542), hAPP(c_COMBB(tc_prod(_u12542, _u12544), tc_fun(tc_fun(tc_prod(_u12542, _u12544), tc_HOL_Obool), tc_HOL_Obool), _u12544), c_member(tc_prod(_u12542, _u12544)))), c_Product__Type_OPair(_u12542, _u12544)))), _u12548), hAPP(hAPP(c_COMBC(_u12544, tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_fun(_u12546, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12546, tc_fun(tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_fun(_u12546, tc_HOL_Obool)), _u12544), c_COMBC(_u12546, tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12546, tc_prod(_u12544, _u12546)), tc_fun(_u12546, tc_fun(tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_HOL_Obool)), _u12544), hAPP(c_COMBB(tc_prod(_u12544, _u12546), tc_fun(tc_fun(tc_prod(_u12544, _u12546), tc_HOL_Obool), tc_HOL_Obool), _u12546), c_member(tc_prod(_u12544, _u12546)))), c_Product__Type_OPair(_u12544, _u12546)))), _u12550)), _u12552), _u12554)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12546)), hAPP(hAPP(c_Product__Type_OPair(_u12542, _u12546), _u12552), _u12554)), hAPP(hAPP(c_Relation_Orel__comp(_u12542, _u12544, _u12546), _u12548), _u12550))) )).
% 12.21/12.47 cnf(matrix-5861, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12543, _u12547)), hAPP(hAPP(c_Product__Type_OPair(_u12543, _u12547), _u12553), _u12555)), hAPP(hAPP(c_Relation_Orel__comp(_u12543, _u12545, _u12547), _u12549), _u12551))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12543, _u12545, _u12547, hAPP(hAPP(c_COMBC(_u12543, tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_fun(_u12545, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12545, tc_fun(tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_fun(_u12545, tc_HOL_Obool)), _u12543), c_COMBC(_u12545, tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12545, tc_prod(_u12543, _u12545)), tc_fun(_u12545, tc_fun(tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_HOL_Obool)), _u12543), hAPP(c_COMBB(tc_prod(_u12543, _u12545), tc_fun(tc_fun(tc_prod(_u12543, _u12545), tc_HOL_Obool), tc_HOL_Obool), _u12545), c_member(tc_prod(_u12543, _u12545)))), c_Product__Type_OPair(_u12543, _u12545)))), _u12549), hAPP(hAPP(c_COMBC(_u12545, tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_fun(_u12547, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12547, tc_fun(tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_fun(_u12547, tc_HOL_Obool)), _u12545), c_COMBC(_u12547, tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12547, tc_prod(_u12545, _u12547)), tc_fun(_u12547, tc_fun(tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_HOL_Obool)), _u12545), hAPP(c_COMBB(tc_prod(_u12545, _u12547), tc_fun(tc_fun(tc_prod(_u12545, _u12547), tc_HOL_Obool), tc_HOL_Obool), _u12547), c_member(tc_prod(_u12545, _u12547)))), c_Product__Type_OPair(_u12545, _u12547)))), _u12551)), _u12553), _u12555)) )).
% 12.21/12.47 cnf(matrix-5862, plain, ( ~c_Wellfounded_Owf(_u12556, _u12557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12556, _u12556), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12556, _u12556, _u12556), _u12557), _u12558)), _u12557)) | c_FunDef_Oreduction__pair(_u12556, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12556, _u12556), tc_HOL_Obool), tc_fun(tc_prod(_u12556, _u12556), tc_HOL_Obool)), _u12557), _u12558)) )).
% 12.21/12.47 cnf(matrix-5863, plain, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12567), _u12571)) )).
% 12.21/12.47 cnf(matrix-5864, plain, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12567), _u12573)) )).
% 12.21/12.47 cnf(matrix-5865, plain, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | ( _u12573 != c_Orderings_Obot__class_Obot(tc_fun(_u12567, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5866, plain, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | ~hBOOL(hAPP(hAPP(c_member(_u12567), _u12560), _u12571)) | hBOOL(hAPP(hAPP(c_member(_u12567), skolem297(_u12573, _u12571, _u12569, _u12567, _u12560)), _u12573)) )).
% 12.21/12.47 cnf(matrix-5867, plain, ( ~c_Wellfounded_Omax__extp(_u12567, _u12569, _u12571, _u12573) | ~hBOOL(hAPP(hAPP(c_member(_u12567), _u12560), _u12571)) | hBOOL(hAPP(hAPP(_u12569, _u12560), skolem297(_u12573, _u12571, _u12569, _u12567, _u12560))) )).
% 12.21/12.47 cnf(matrix-5868, plain, ( c_Wellfounded_Omax__extp(_u12568, _u12570, _u12572, _u12574) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12574)) | ( _u12574 = c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12568), skolem298(_u12574, _u12572, _u12570, _u12568)), _u12572)) )).
% 12.21/12.47 cnf(matrix-5869, plain, ( c_Wellfounded_Omax__extp(_u12568, _u12570, _u12572, _u12574) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12574)) | ( _u12574 = c_Orderings_Obot__class_Obot(tc_fun(_u12568, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12568), _u12561), _u12574)) | ~hBOOL(hAPP(hAPP(_u12570, skolem298(_u12574, _u12572, _u12570, _u12568)), _u12561)) )).
% 12.21/12.47 cnf(matrix-5870, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.21/12.47 cnf(matrix-5871, plain, ( ~hBOOL(hAPP(hAPP(_u12575, _u12576), _u12577)) | ~hBOOL(hAPP(hAPP(_u12578, _u12577), _u12579)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12580, _u12581, _u12582, _u12575, _u12578), _u12576), _u12579)) )).
% 12.21/12.47 cnf(matrix-5872, plain, ( c_Wellfounded_Owf(_u12583, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12583, _u12583), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5873, plain, ( ~c_Wellfounded_Owf(_u12584, _u12585) | c_Wellfounded_Owf(_u12586, hAPP(hAPP(c_Relation_Oinv__image(_u12584, _u12586), _u12585), _u12587)) )).
% 12.21/12.47 cnf(matrix-5874, plain, ( ~c_Wellfounded_Owf(_u12588, _u12589) | ~c_Wellfounded_Owf(_u12590, _u12591) | c_Wellfounded_Owf(tc_prod(_u12588, _u12590), c_Wellfounded_Olex__prod(_u12588, _u12590, _u12589, _u12591)) )).
% 12.21/12.47 cnf(matrix-5875, plain, ( c_Wellfounded_Owf(_u12592, hAPP(c_Wellfounded_Omeasure(_u12592), _u12593)) )).
% 12.21/12.47 cnf(matrix-5876, plain, ( ~c_Wellfounded_Owf(_u12596, _u12598) | c_Wellfounded_Owf(_u12596, hAPP(hAPP(c_Relation_Orel__comp(_u12596, _u12596, _u12596), _u12598), _u12598)) )).
% 12.21/12.47 cnf(matrix-5877, plain, ( ~c_Wellfounded_Owf(_u12597, hAPP(hAPP(c_Relation_Orel__comp(_u12597, _u12597, _u12597), _u12599), _u12599)) | c_Wellfounded_Owf(_u12597, _u12599) )).
% 12.21/12.47 cnf(matrix-5878, plain, ( ~c_Wellfounded_Owf(_u12600, _u12601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12600, _u12600), tc_HOL_Obool)), _u12602), _u12601)) | c_Wellfounded_Owf(_u12600, _u12602) )).
% 12.21/12.47 cnf(matrix-5879, plain, ( ~c_Wellfounded_Owf(_u12603, _u12604) | c_Wellfounded_Owf(tc_fun(_u12603, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12603, _u12604)) )).
% 12.21/12.47 cnf(matrix-5880, 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)))) )).
% 12.21/12.47 cnf(matrix-5881, plain, ( c_Wellfounded_Owf(tc_fun(_u12605, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u12605)) )).
% 12.21/12.47 cnf(matrix-5882, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12615, _u12617, _u12619, _u12621, _u12623), _u12625), _u12627)) | hBOOL(hAPP(hAPP(_u12621, _u12625), skolem299(_u12627, _u12625, _u12623, _u12621))) )).
% 12.21/12.47 cnf(matrix-5883, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12615, _u12617, _u12619, _u12621, _u12623), _u12625), _u12627)) | hBOOL(hAPP(hAPP(_u12623, skolem299(_u12627, _u12625, _u12623, _u12621)), _u12627)) )).
% 12.21/12.47 cnf(matrix-5884, plain, ( ~hBOOL(hAPP(hAPP(_u12622, _u12626), _u12607)) | ~hBOOL(hAPP(hAPP(_u12624, _u12607), _u12628)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12616, _u12618, _u12620, _u12622, _u12624), _u12626), _u12628)) )).
% 12.21/12.47 cnf(matrix-5885, plain, ( ~c_Wellfounded_Owf(_u12629, _u12630) | c_Wellfounded_Owf(_u12629, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12629, _u12629), tc_HOL_Obool)), _u12631), _u12630)) )).
% 12.21/12.47 cnf(matrix-5886, plain, ( ~c_Wellfounded_Owf(_u12632, _u12633) | c_Wellfounded_Owf(_u12632, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool)), _u12633), _u12634)) )).
% 12.21/12.47 cnf(matrix-5887, plain, ( ~c_Wellfounded_Owf(_u12635, _u12636) | c_Wellfounded_Owf(_u12635, c_Wellfounded_Omlex__prod(_u12635, _u12637, _u12636)) )).
% 12.21/12.47 cnf(matrix-5888, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.21/12.47 cnf(matrix-5889, plain, ( ~c_Wellfounded_Owf(_u12638, _u12639) | c_Wellfounded_Owf(tc_fun(_u12638, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u12638, _u12639)) )).
% 12.21/12.47 cnf(matrix-5890, plain, ( ~c_Wellfounded_Owf(_u12640, _u12641) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12640, _u12640)), hAPP(hAPP(c_Product__Type_OPair(_u12640, _u12640), _u12642), _u12642)), _u12641)) )).
% 12.21/12.47 cnf(matrix-5891, plain, ( ~c_Wellfounded_Owf(_u12643, _u12644) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12643, _u12643)), hAPP(hAPP(c_Product__Type_OPair(_u12643, _u12643), _u12645), _u12646)), _u12644)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12643, _u12643)), hAPP(hAPP(c_Product__Type_OPair(_u12643, _u12643), _u12646), _u12645)), _u12644)) )).
% 12.21/12.47 cnf(matrix-5892, plain, ( ~c_Wellfounded_Owf(_u12647, _u12648) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12647, _u12647)), hAPP(hAPP(c_Product__Type_OPair(_u12647, _u12647), _u12649), _u12650)), _u12648)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12647, _u12647)), hAPP(hAPP(c_Product__Type_OPair(_u12647, _u12647), _u12650), _u12649)), _u12648)) )).
% 12.21/12.47 cnf(matrix-5893, plain, ( ~c_Wellfounded_Owf(_u12651, _u12652) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12651, _u12651)), hAPP(hAPP(c_Product__Type_OPair(_u12651, _u12651), _u12653), _u12653)), _u12652)) )).
% 12.21/12.47 cnf(matrix-5894, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u12654)) )).
% 12.21/12.47 cnf(matrix-5895, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u12655)) )).
% 12.21/12.47 cnf(matrix-5896, plain, ( ~c_Wellfounded_Owf(_u12660, _u12662) | hBOOL(hAPP(hAPP(c_member(_u12660), _u12656), c_Wellfounded_Oacc(_u12660, _u12662))) )).
% 12.21/12.47 cnf(matrix-5897, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12661), skolem300(_u12663, _u12661)), c_Wellfounded_Oacc(_u12661, _u12663))) | c_Wellfounded_Owf(_u12661, _u12663) )).
% 12.21/12.47 cnf(matrix-5898, plain, ( ~c_Wellfounded_Owf(_u12664, _u12665) | hBOOL(hAPP(hAPP(c_member(_u12664), _u12666), c_Wellfounded_Oacc(_u12664, _u12665))) )).
% 12.21/12.47 cnf(matrix-5899, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12667, _u12667, _u12667), _u12668), _u12668) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12667, _u12667), tc_HOL_Obool))) | c_Wellfounded_Owf(_u12667, _u12668) )).
% 12.21/12.47 cnf(matrix-5900, plain, ( ~c_Wellfounded_Owf(_u12672, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12672, _u12672), tc_HOL_Obool)), _u12674), _u12676)) | c_Wellfounded_Owf(_u12672, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12672, _u12672), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12672, _u12672), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12672, _u12672, _u12672), _u12674), _u12674)), hAPP(hAPP(c_Relation_Orel__comp(_u12672, _u12672, _u12672), _u12676), _u12674))), _u12676)) )).
% 12.21/12.47 cnf(matrix-5901, plain, ( ~c_Wellfounded_Owf(_u12673, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12673, _u12673), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12673, _u12673), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12673, _u12673, _u12673), _u12675), _u12675)), hAPP(hAPP(c_Relation_Orel__comp(_u12673, _u12673, _u12673), _u12677), _u12675))), _u12677)) | c_Wellfounded_Owf(_u12673, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12673, _u12673), tc_HOL_Obool)), _u12675), _u12677)) )).
% 12.21/12.47 cnf(matrix-5902, plain, ( ~c_Wellfounded_Owf(_u12684, _u12686) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12684, _u12684)), hAPP(hAPP(c_Product__Type_OPair(_u12684, _u12684), hAPP(_u12679, hAPP(c_Nat_OSuc, skolem301(_u12686, _u12684, _u12679)))), hAPP(_u12679, skolem301(_u12686, _u12684, _u12679)))), _u12686)) )).
% 12.21/12.47 cnf(matrix-5903, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12685, _u12685)), hAPP(hAPP(c_Product__Type_OPair(_u12685, _u12685), hAPP(skolem302(_u12687, _u12685), hAPP(c_Nat_OSuc, _u12680))), hAPP(skolem302(_u12687, _u12685), _u12680))), _u12687)) | c_Wellfounded_Owf(_u12685, _u12687) )).
% 12.21/12.47 cnf(matrix-5904, plain, ( ~c_Wellfounded_Owf(_u12688, _u12689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12688, tc_HOL_Obool)), _u12690), hAPP(c_Relation_OImage(_u12688, _u12688, _u12689), _u12690))) | ( _u12690 = c_Orderings_Obot__class_Obot(tc_fun(_u12688, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5905, plain, ( ~c_Wellfounded_Owf(_u12691, _u12692) | ~c_Wellfounded_Owf(_u12691, _u12693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12691, _u12691), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12691, _u12691, _u12691), _u12692), _u12693)), _u12692)) | c_Wellfounded_Owf(_u12691, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12691, _u12691), tc_HOL_Obool)), _u12692), _u12693)) )).
% 12.21/12.47 cnf(matrix-5906, plain, ( ~class_Orderings_Owellorder(_u12694) | c_Wellfounded_Owf(_u12694, hAPP(c_Set_OCollect(tc_prod(_u12694, _u12694)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12694, _u12694, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u12694)))) )).
% 12.21/12.47 cnf(matrix-5907, plain, ( ~c_FunDef_Oreduction__pair(_u12697, _u12699) | c_Wellfounded_Owf(_u12697, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool), tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), _u12699)) )).
% 12.21/12.47 cnf(matrix-5908, plain, ( ~c_FunDef_Oreduction__pair(_u12697, _u12699) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12697, _u12697, _u12697), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool), tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), _u12699)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool), tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), _u12699))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool), tc_fun(tc_prod(_u12697, _u12697), tc_HOL_Obool)), _u12699))) )).
% 12.21/12.47 cnf(matrix-5909, plain, ( ~c_Wellfounded_Owf(_u12698, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool), tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), _u12700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12698, _u12698, _u12698), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool), tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), _u12700)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool), tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), _u12700))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool), tc_fun(tc_prod(_u12698, _u12698), tc_HOL_Obool)), _u12700))) | c_FunDef_Oreduction__pair(_u12698, _u12700) )).
% 12.21/12.47 cnf(matrix-5910, plain, ( ~c_FunDef_Oreduction__pair(_u12701, _u12702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12703), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool), tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12704), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool), tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12702))) | ~c_Wellfounded_Owf(_u12701, _u12704) | c_Wellfounded_Owf(_u12701, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12703), _u12704)) )).
% 12.21/12.47 cnf(matrix-5911, plain, ( ~c_Wellfounded_Owf(_u12705, _u12706) | c_Wellfounded_Owf(tc_List_Olist(_u12705), c_List_Olenlex(_u12705, _u12706)) )).
% 12.21/12.47 cnf(matrix-5912, plain, ( c_Wellfounded_Owf(_u12711, hAPP(c_Set_OCollect(tc_prod(_u12711, _u12711)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12711, _u12711, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12711, tc_HOL_Obool), tc_fun(_u12711, tc_HOL_Obool), _u12711), hAPP(c_COMBS(_u12711, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12711), c_fconj), _u12708))), hAPP(hAPP(c_COMBC(_u12711, tc_fun(_u12711, _u12711), tc_fun(_u12711, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12711, tc_HOL_Obool), tc_fun(tc_fun(_u12711, _u12711), tc_fun(_u12711, tc_HOL_Obool)), _u12711), c_COMBB(_u12711, tc_HOL_Obool, _u12711)), c_fequal)), _u12710))))) | hBOOL(hAPP(_u12708, skolem303(_u12711, _u12710, _u12709, _u12708))) )).
% 12.21/12.47 cnf(matrix-5913, plain, ( c_Wellfounded_Owf(_u12711, hAPP(c_Set_OCollect(tc_prod(_u12711, _u12711)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12711, _u12711, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12711, tc_HOL_Obool), tc_fun(_u12711, tc_HOL_Obool), _u12711), hAPP(c_COMBS(_u12711, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12711), c_fconj), _u12708))), hAPP(hAPP(c_COMBC(_u12711, tc_fun(_u12711, _u12711), tc_fun(_u12711, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12711, tc_HOL_Obool), tc_fun(tc_fun(_u12711, _u12711), tc_fun(_u12711, tc_HOL_Obool)), _u12711), c_COMBB(_u12711, tc_HOL_Obool, _u12711)), c_fequal)), _u12710))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12709, hAPP(_u12710, skolem303(_u12711, _u12710, _u12709, _u12708)))), hAPP(_u12709, skolem303(_u12711, _u12710, _u12709, _u12708)))) )).
% 12.21/12.47 cnf(matrix-5914, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12714), _u12715)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12714), _u12716)) | ( _u12716 = c_Orderings_Obot__class_Obot(tc_fun(_u12714, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12714, tc_HOL_Obool), tc_fun(_u12714, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12714, tc_HOL_Obool), tc_fun(_u12714, tc_HOL_Obool)), _u12715), _u12716)), c_Wellfounded_Omax__ext(_u12714, _u12717))) | hBOOL(hAPP(hAPP(c_member(_u12714), skolem304(_u12717, _u12716, _u12715, _u12714)), _u12715)) )).
% 12.21/12.47 cnf(matrix-5915, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12714), _u12715)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12714), _u12716)) | ( _u12716 = c_Orderings_Obot__class_Obot(tc_fun(_u12714, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12714, tc_HOL_Obool), tc_fun(_u12714, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12714, tc_HOL_Obool), tc_fun(_u12714, tc_HOL_Obool)), _u12715), _u12716)), c_Wellfounded_Omax__ext(_u12714, _u12717))) | ~hBOOL(hAPP(hAPP(c_member(_u12714), _u12712), _u12716)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12714, _u12714)), hAPP(hAPP(c_Product__Type_OPair(_u12714, _u12714), skolem304(_u12717, _u12716, _u12715, _u12714)), _u12712)), _u12717)) )).
% 12.21/12.47 cnf(matrix-5916, 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)))) )).
% 12.21/12.47 cnf(matrix-5917, plain, ( ~c_Wellfounded_Owf(_u12718, _u12719) | c_Wellfounded_Owf(tc_List_Olist(_u12718), c_List_Olex(_u12718, _u12719)) )).
% 12.21/12.47 cnf(matrix-5918, plain, ( ~c_Wellfounded_Owf(_u12720, _u12721) | c_Wellfounded_Owf(tc_List_Olist(_u12720), hAPP(c_List_Olexn(_u12720, _u12721), _u12722)) )).
% 12.21/12.47 cnf(matrix-5919, plain, ( ( c_List_Olex(_u12723, _u12724) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u12723), tc_List_Olist(_u12723)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u12723, _u12724))) )).
% 12.21/12.47 cnf(matrix-5920, plain, ( ( hAPP(c_List_Olexn(_u12725, _u12726), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u12725), tc_List_Olist(_u12725)), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5921, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.21/12.47 cnf(matrix-5922, plain, ( c_Wellfounded_Owf(tc_prod(_u12731, _u12729), c_Recdef_Osame__fst(_u12731, _u12729, _u12728, _u12730)) | hBOOL(hAPP(_u12728, skolem305(_u12731, _u12730, _u12729, _u12728))) )).
% 12.21/12.47 cnf(matrix-5923, plain, ( c_Wellfounded_Owf(tc_prod(_u12731, _u12729), c_Recdef_Osame__fst(_u12731, _u12729, _u12728, _u12730)) | ~c_Wellfounded_Owf(_u12729, hAPP(_u12730, skolem305(_u12731, _u12730, _u12729, _u12728))) )).
% 12.21/12.47 cnf(matrix-5924, plain, ( ( c_Nitpick_Ozero__frac(_u12732) = c_Nitpick_OAbs__Frac(_u12732, 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)))) )).
% 12.21/12.47 cnf(matrix-5925, plain, ( ( hAPP(c_Relation_ORange(_u12733, _u12734), hAPP(c_Set_OCollect(tc_prod(_u12733, _u12734)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12733, _u12734, tc_HOL_Obool), _u12735))) = hAPP(c_Set_OCollect(_u12734), hAPP(hAPP(c_COMBB(tc_fun(_u12733, tc_HOL_Obool), tc_HOL_Obool, _u12734), c_HOL_OEx(_u12733)), hAPP(c_COMBC(_u12733, _u12734, tc_HOL_Obool), _u12735)))) )).
% 12.21/12.47 cnf(matrix-5926, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12736, _u12737)), hAPP(hAPP(c_Product__Type_OPair(_u12736, _u12737), _u12738), _u12739)), _u12740)) | hBOOL(hAPP(hAPP(c_member(_u12737), _u12739), hAPP(c_Relation_ORange(_u12736, _u12737), _u12740))) )).
% 12.21/12.47 cnf(matrix-5927, plain, ( ( hAPP(c_Relation_ORange(_u12741, _u12741), c_Relation_OId__on(_u12741, _u12742)) = _u12742) )).
% 12.21/12.47 cnf(matrix-5928, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12743, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12743, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12744, _u12743), _u12745)), hAPP(c_Relation_ORange(_u12744, _u12743), _u12746))), hAPP(c_Relation_ORange(_u12744, _u12743), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12744, _u12743), tc_HOL_Obool)), _u12745), _u12746)))) )).
% 12.21/12.47 cnf(matrix-5929, plain, ( ( hAPP(c_Relation_ORange(_u12747, _u12748), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12747, _u12748), tc_HOL_Obool), _u12749)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12747, _u12748), tc_HOL_Obool), tc_fun(_u12748, tc_HOL_Obool)), _u12749), c_Relation_ORange(_u12747, _u12748))) )).
% 12.21/12.47 cnf(matrix-5930, plain, ( ( hAPP(c_Relation_ORange(_u12753, _u12755), _u12757) != c_Orderings_Obot__class_Obot(tc_fun(_u12755, tc_HOL_Obool))) | ( _u12757 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12753, _u12755), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5931, plain, ( ( _u12758 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12754, _u12756), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12754, _u12756), _u12758) = c_Orderings_Obot__class_Obot(tc_fun(_u12756, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5932, plain, ( ( hAPP(c_Relation_ORange(_u12759, _u12760), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12759, _u12760), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12760, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5933, plain, ( ( hAPP(c_Relation_ORange(_u12761, _u12762), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12761, _u12762), tc_HOL_Obool)), _u12763), _u12764)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12762, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12761, _u12762), _u12763)), hAPP(c_Relation_ORange(_u12761, _u12762), _u12764))) )).
% 12.21/12.47 cnf(matrix-5934, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12765, _u12766)), _u12767)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), hAPP(c_Relation_ORange(_u12765, _u12766), _u12767))) )).
% 12.21/12.47 cnf(matrix-5935, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12768, _u12769), _u12769, c_Product__Type_Osnd(_u12768, _u12769)), _u12770) = hAPP(c_Relation_ORange(_u12768, _u12769), _u12770)) )).
% 12.21/12.47 cnf(matrix-5936, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12777), _u12779), hAPP(c_Relation_ORange(_u12781, _u12777), _u12783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12781, _u12777)), hAPP(hAPP(c_Product__Type_OPair(_u12781, _u12777), skolem306(_u12783, _u12781, _u12779, _u12777)), _u12779)), _u12783)) )).
% 12.21/12.47 cnf(matrix-5937, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12782, _u12778)), hAPP(hAPP(c_Product__Type_OPair(_u12782, _u12778), _u12772), _u12780)), _u12784)) | hBOOL(hAPP(hAPP(c_member(_u12778), _u12780), hAPP(c_Relation_ORange(_u12782, _u12778), _u12784))) )).
% 12.21/12.47 cnf(matrix-5938, plain, ( ( hAPP(c_Relation_ORange(_u12785, _u12786), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12785, _u12786)), hAPP(hAPP(c_Product__Type_OPair(_u12785, _u12786), _u12787), _u12788)), _u12789)) = hAPP(hAPP(c_Set_Oinsert(_u12786), _u12788), hAPP(c_Relation_ORange(_u12785, _u12786), _u12789))) )).
% 12.21/12.47 cnf(matrix-5939, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12790, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12791, _u12790), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12791, _u12790), tc_HOL_Obool)), _u12792), _u12793))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12790, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12791, _u12790), _u12792)), hAPP(c_Relation_ORange(_u12791, _u12790), _u12793)))) )).
% 12.21/12.47 cnf(matrix-5940, plain, ( ( c_Nitpick_Oone__frac(_u12794) = c_Nitpick_OAbs__Frac(_u12794, 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)))) )).
% 12.21/12.47 cnf(matrix-5941, plain, ( ( c_Nitpick_Onumber__of__frac(_u12795, _u12796) = c_Nitpick_OAbs__Frac(_u12795, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u12796), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.47 cnf(matrix-5942, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12801, _u12803, hAPP(hAPP(c_COMBC(_u12801, tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_fun(_u12803, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12803, tc_fun(tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_fun(_u12803, tc_HOL_Obool)), _u12801), c_COMBC(_u12803, tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12803, tc_prod(_u12801, _u12803)), tc_fun(_u12803, tc_fun(tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_HOL_Obool)), _u12801), hAPP(c_COMBB(tc_prod(_u12801, _u12803), tc_fun(tc_fun(tc_prod(_u12801, _u12803), tc_HOL_Obool), tc_HOL_Obool), _u12803), c_member(tc_prod(_u12801, _u12803)))), c_Product__Type_OPair(_u12801, _u12803)))), _u12805)), _u12807)) | hBOOL(hAPP(hAPP(c_member(_u12803), _u12807), hAPP(c_Relation_ORange(_u12801, _u12803), _u12805))) )).
% 12.21/12.47 cnf(matrix-5943, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12804), _u12808), hAPP(c_Relation_ORange(_u12802, _u12804), _u12806))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12802, _u12804, hAPP(hAPP(c_COMBC(_u12802, tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_fun(_u12804, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12804, tc_fun(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_fun(_u12804, tc_HOL_Obool)), _u12802), c_COMBC(_u12804, tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12804, tc_prod(_u12802, _u12804)), tc_fun(_u12804, tc_fun(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_HOL_Obool)), _u12802), hAPP(c_COMBB(tc_prod(_u12802, _u12804), tc_fun(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool), tc_HOL_Obool), _u12804), c_member(tc_prod(_u12802, _u12804)))), c_Product__Type_OPair(_u12802, _u12804)))), _u12806)), _u12808)) )).
% 12.21/12.47 cnf(matrix-5944, plain, ( ~hBOOL(hAPP(hAPP(_u12809, _u12810), _u12811)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12812, _u12813, _u12809), _u12811)) )).
% 12.21/12.47 cnf(matrix-5945, plain, ( hBOOL(hAPP(hAPP(_u12824, skolem307(_u12826, _u12824)), _u12826)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12820, _u12822, _u12824), _u12826)) )).
% 12.21/12.47 cnf(matrix-5946, plain, ( ~hBOOL(hAPP(hAPP(_u12825, _u12815), _u12827)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12821, _u12823, _u12825), _u12827)) )).
% 12.21/12.47 cnf(matrix-5947, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u12828), _u12829), _u12830) = c_Nitpick_OAbs__Frac(_u12828, c_Nitpick_Onorm__frac(_u12829, _u12830))) )).
% 12.21/12.47 cnf(matrix-5948, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12832), _u12833), hAPP(c_Relation_ORange(_u12834, _u12832), _u12835))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12834, _u12832)), hAPP(hAPP(c_Product__Type_OPair(_u12834, _u12832), skolem308(_u12835, _u12834, _u12833, _u12832)), _u12833)), _u12835)) )).
% 12.21/12.47 cnf(matrix-5949, plain, ( ~c_Wellfounded_Owf(_u12836, _u12837) | ~c_Wellfounded_Owf(_u12836, _u12838) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12836, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12836, _u12836), _u12837)), hAPP(c_Relation_ORange(_u12836, _u12836), _u12838)) != c_Orderings_Obot__class_Obot(tc_fun(_u12836, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12836, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12836, _u12836), tc_HOL_Obool)), _u12837), _u12838)) )).
% 12.21/12.47 cnf(matrix-5950, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12839, _u12840)), hAPP(hAPP(c_Product__Type_OPair(_u12839, _u12840), _u12841), _u12842)), _u12843)) | hBOOL(hAPP(hAPP(c_member(_u12839), _u12841), hAPP(c_Relation_ODomain(_u12839, _u12840), _u12843))) )).
% 12.21/12.47 cnf(matrix-5951, plain, ( ( hAPP(c_Relation_ODomain(_u12844, _u12844), c_Relation_OId__on(_u12844, _u12845)) = _u12845) )).
% 12.21/12.47 cnf(matrix-5952, plain, ( ( hAPP(c_Relation_ODomain(_u12849, _u12851), _u12853) != c_Orderings_Obot__class_Obot(tc_fun(_u12849, tc_HOL_Obool))) | ( _u12853 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12849, _u12851), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5953, plain, ( ( _u12854 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12850, _u12852), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u12850, _u12852), _u12854) = c_Orderings_Obot__class_Obot(tc_fun(_u12850, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5954, plain, ( ( hAPP(c_Relation_ODomain(_u12855, _u12856), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12855, _u12856), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12855, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5955, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12857, _u12858), tc_HOL_Obool)), _u12859), _u12860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12857, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12857, _u12858), _u12859)), hAPP(c_Relation_ODomain(_u12857, _u12858), _u12860))) )).
% 12.21/12.47 cnf(matrix-5956, plain, ( ( hAPP(c_Relation_ODomain(_u12861, _u12862), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12861, _u12862), tc_HOL_Obool)), _u12863), _u12864)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12861, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12861, _u12862), _u12863)), hAPP(c_Relation_ODomain(_u12861, _u12862), _u12864))) )).
% 12.21/12.47 cnf(matrix-5957, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12865, _u12866)), _u12867)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12865), hAPP(c_Relation_ODomain(_u12865, _u12866), _u12867))) )).
% 12.21/12.47 cnf(matrix-5958, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12868, _u12869), _u12868, c_Product__Type_Ofst(_u12868, _u12869)), _u12870) = hAPP(c_Relation_ODomain(_u12868, _u12869), _u12870)) )).
% 12.21/12.47 cnf(matrix-5959, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12877), _u12879), hAPP(c_Relation_ODomain(_u12877, _u12881), _u12883))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12877, _u12881)), hAPP(hAPP(c_Product__Type_OPair(_u12877, _u12881), _u12879), skolem309(_u12883, _u12881, _u12879, _u12877))), _u12883)) )).
% 12.21/12.47 cnf(matrix-5960, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12878, _u12882)), hAPP(hAPP(c_Product__Type_OPair(_u12878, _u12882), _u12880), _u12872)), _u12884)) | hBOOL(hAPP(hAPP(c_member(_u12878), _u12880), hAPP(c_Relation_ODomain(_u12878, _u12882), _u12884))) )).
% 12.21/12.47 cnf(matrix-5961, plain, ( ( hAPP(c_Relation_ODomain(_u12885, _u12886), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12885, _u12886)), hAPP(hAPP(c_Product__Type_OPair(_u12885, _u12886), _u12887), _u12888)), _u12889)) = hAPP(hAPP(c_Set_Oinsert(_u12885), _u12887), hAPP(c_Relation_ODomain(_u12885, _u12886), _u12889))) )).
% 12.21/12.47 cnf(matrix-5962, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12890, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12890, _u12891), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool)), _u12892), _u12893))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12890, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12890, _u12891), _u12892)), hAPP(c_Relation_ODomain(_u12890, _u12891), _u12893)))) )).
% 12.21/12.47 cnf(matrix-5963, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12894, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12894, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12894, _u12895), _u12896)), hAPP(c_Relation_ODomain(_u12894, _u12895), _u12897))), hAPP(c_Relation_ODomain(_u12894, _u12895), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12894, _u12895), tc_HOL_Obool)), _u12896), _u12897)))) )).
% 12.21/12.47 cnf(matrix-5964, plain, ( ( hAPP(c_Relation_OField(_u12898), _u12899) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12898, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12898, _u12898), _u12899)), hAPP(c_Relation_ORange(_u12898, _u12898), _u12899))) )).
% 12.21/12.47 cnf(matrix-5965, plain, ( ( hAPP(c_Relation_ODomain(_u12900, _u12901), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12900, _u12901), tc_HOL_Obool), _u12902)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12900, _u12901), tc_HOL_Obool), tc_fun(_u12900, tc_HOL_Obool)), _u12902), c_Relation_ODomain(_u12900, _u12901))) )).
% 12.21/12.47 cnf(matrix-5966, plain, ( ( hAPP(c_Relation_ODomain(_u12903, _u12904), hAPP(c_Set_OCollect(tc_prod(_u12903, _u12904)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12903, _u12904, tc_HOL_Obool), _u12905))) = hAPP(c_Set_OCollect(_u12903), hAPP(hAPP(c_COMBB(tc_fun(_u12904, tc_HOL_Obool), tc_HOL_Obool, _u12903), c_HOL_OEx(_u12904)), _u12905))) )).
% 12.21/12.47 cnf(matrix-5967, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u12910, _u12912, 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)))), _u12914)), _u12916)) | hBOOL(hAPP(hAPP(c_member(_u12910), _u12916), hAPP(c_Relation_ODomain(_u12910, _u12912), _u12914))) )).
% 12.21/12.47 cnf(matrix-5968, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12911), _u12917), hAPP(c_Relation_ODomain(_u12911, _u12913), _u12915))) | hBOOL(hAPP(c_Predicate_ODomainP(_u12911, _u12913, 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)))), _u12915)), _u12917)) )).
% 12.21/12.47 cnf(matrix-5969, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12919), _u12920), hAPP(c_Relation_ODomain(_u12919, _u12921), _u12922))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12919, _u12921)), hAPP(hAPP(c_Product__Type_OPair(_u12919, _u12921), _u12920), skolem310(_u12922, _u12921, _u12920, _u12919))), _u12922)) )).
% 12.21/12.47 cnf(matrix-5970, plain, ( ( hAPP(c_Set_Oimage(_u12923, tc_prod(_u12924, _u12925), hAPP(hAPP(c_COMBS(_u12923, _u12925, tc_prod(_u12924, _u12925)), hAPP(hAPP(c_COMBB(_u12924, tc_fun(_u12925, tc_prod(_u12924, _u12925)), _u12923), c_Product__Type_OPair(_u12924, _u12925)), _u12926)), _u12927)), _u12928) = hAPP(hAPP(c_Product__Type_OSigma(_u12924, _u12925), hAPP(c_Set_Oimage(_u12923, _u12924, _u12926), _u12928)), hAPP(hAPP(c_COMBB(tc_fun(_u12923, tc_HOL_Obool), tc_fun(_u12925, tc_HOL_Obool), _u12924), c_Set_Oimage(_u12923, _u12925, _u12927)), hAPP(hAPP(c_COMBC(_u12924, tc_fun(_u12923, tc_HOL_Obool), tc_fun(_u12923, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12923, tc_HOL_Obool), tc_fun(tc_fun(_u12923, tc_HOL_Obool), tc_fun(_u12923, tc_HOL_Obool)), _u12924), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12923, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12924, tc_HOL_Obool), tc_fun(_u12923, tc_HOL_Obool), _u12924), c_Set_Ovimage(_u12923, _u12924, _u12926)), hAPP(hAPP(c_COMBC(_u12924, tc_fun(_u12924, tc_HOL_Obool), tc_fun(_u12924, tc_HOL_Obool)), c_Set_Oinsert(_u12924)), c_Orderings_Obot__class_Obot(tc_fun(_u12924, tc_HOL_Obool)))))), _u12928)))) )).
% 12.21/12.47 cnf(matrix-5971, plain, ( ~hBOOL(hAPP(hAPP(_u12929, _u12930), _u12931)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12932, _u12933, _u12929), _u12930)) )).
% 12.21/12.47 cnf(matrix-5972, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12934), _u12935), _u12936)) | ~hBOOL(hAPP(hAPP(c_member(_u12937), _u12938), hAPP(_u12939, _u12935))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12934, _u12937)), hAPP(hAPP(c_Product__Type_OPair(_u12934, _u12937), _u12935), _u12938)), hAPP(hAPP(c_Product__Type_OSigma(_u12934, _u12937), _u12936), _u12939))) )).
% 12.21/12.47 cnf(matrix-5973, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12940, _u12941), c_Orderings_Obot__class_Obot(tc_fun(_u12940, tc_HOL_Obool))), _u12942) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12940, _u12941), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5974, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12943), _u12944), _u12945)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12946, _u12943), _u12947), hAPP(c_COMBK(tc_fun(_u12943, tc_HOL_Obool), _u12946), _u12945)) != hAPP(hAPP(c_Product__Type_OSigma(_u12946, _u12943), _u12948), hAPP(c_COMBK(tc_fun(_u12943, tc_HOL_Obool), _u12946), _u12945))) | ( _u12947 = _u12948) )).
% 12.21/12.47 cnf(matrix-5975, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12943), _u12944), _u12945)) | ( _u12947 != _u12948) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12946, _u12943), _u12947), hAPP(c_COMBK(tc_fun(_u12943, tc_HOL_Obool), _u12946), _u12945)) = hAPP(hAPP(c_Product__Type_OSigma(_u12946, _u12943), _u12948), hAPP(c_COMBK(tc_fun(_u12943, tc_HOL_Obool), _u12946), _u12945))) )).
% 12.21/12.47 cnf(matrix-5976, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12949, _u12950), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12949, tc_HOL_Obool), _u12951)), _u12952) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12949, tc_HOL_Obool), tc_fun(tc_prod(_u12949, _u12950), tc_HOL_Obool)), _u12951), hAPP(hAPP(c_COMBC(tc_fun(_u12949, tc_HOL_Obool), tc_fun(_u12949, tc_fun(_u12950, tc_HOL_Obool)), tc_fun(tc_prod(_u12949, _u12950), tc_HOL_Obool)), c_Product__Type_OSigma(_u12949, _u12950)), _u12952))) )).
% 12.21/12.47 cnf(matrix-5977, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12953, _u12954)), hAPP(hAPP(c_Product__Type_OSigma(_u12953, _u12954), _u12955), hAPP(c_COMBK(tc_fun(_u12954, tc_HOL_Obool), _u12953), _u12956))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12953), _u12955)), hAPP(c_Finite__Set_Ocard(_u12954), _u12956))) )).
% 12.21/12.47 cnf(matrix-5978, plain, ( ~class_Groups_Ocomm__monoid__add(_u12957) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12958, _u12957), hAPP(hAPP(c_COMBC(_u12958, tc_fun(_u12959, tc_HOL_Obool), _u12957), hAPP(hAPP(c_COMBB(tc_fun(_u12959, _u12957), tc_fun(tc_fun(_u12959, tc_HOL_Obool), _u12957), _u12958), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12959, _u12957)), _u12960)), _u12961)), _u12962) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12958, _u12959), _u12957), hAPP(c_Product__Type_Oprod_Oprod__case(_u12958, _u12959, _u12957), _u12960)), hAPP(hAPP(c_Product__Type_OSigma(_u12958, _u12959), _u12962), hAPP(c_COMBK(tc_fun(_u12959, tc_HOL_Obool), _u12958), _u12961)))) )).
% 12.21/12.47 cnf(matrix-5979, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12967, _u12969), _u12971), hAPP(c_COMBK(tc_fun(_u12969, tc_HOL_Obool), _u12967), _u12973)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12967, _u12969), tc_HOL_Obool))) | ( _u12971 = c_Orderings_Obot__class_Obot(tc_fun(_u12967, tc_HOL_Obool))) | ( _u12973 = c_Orderings_Obot__class_Obot(tc_fun(_u12969, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5980, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12968, _u12970), _u12972), hAPP(c_COMBK(tc_fun(_u12970, tc_HOL_Obool), _u12968), _u12974)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12968, _u12970), tc_HOL_Obool))) | ( _u12972 != c_Orderings_Obot__class_Obot(tc_fun(_u12968, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5981, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12968, _u12970), _u12972), hAPP(c_COMBK(tc_fun(_u12970, tc_HOL_Obool), _u12968), _u12974)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12968, _u12970), tc_HOL_Obool))) | ( _u12974 != c_Orderings_Obot__class_Obot(tc_fun(_u12970, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5982, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12975, _u12976), _u12977), hAPP(c_COMBK(tc_fun(_u12976, tc_HOL_Obool), _u12975), c_Orderings_Obot__class_Obot(tc_fun(_u12976, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12975, _u12976), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-5983, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12978, _u12979), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12978, _u12979), _u12980), hAPP(c_COMBK(tc_fun(_u12979, tc_HOL_Obool), _u12978), c_Orderings_Otop__class_Otop(tc_fun(_u12979, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12978, _u12979), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12978, tc_HOL_Obool)), _u12980)), hAPP(c_COMBK(tc_fun(_u12979, tc_HOL_Obool), _u12978), c_Orderings_Otop__class_Otop(tc_fun(_u12979, tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-5984, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12981, _u12982), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12981, _u12982), c_Orderings_Otop__class_Otop(tc_fun(_u12981, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12982, tc_HOL_Obool), _u12981), _u12983))) = hAPP(hAPP(c_Product__Type_OSigma(_u12981, _u12982), c_Orderings_Otop__class_Otop(tc_fun(_u12981, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12982, tc_HOL_Obool), _u12981), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12982, tc_HOL_Obool)), _u12983)))) )).
% 12.21/12.47 cnf(matrix-5985, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12984) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12985, _u12984), hAPP(hAPP(c_COMBC(_u12985, tc_fun(_u12986, tc_HOL_Obool), _u12984), hAPP(hAPP(c_COMBB(tc_fun(_u12986, _u12984), tc_fun(tc_fun(_u12986, tc_HOL_Obool), _u12984), _u12985), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12986, _u12984)), _u12987)), _u12988)), _u12989) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12985, _u12986), _u12984), hAPP(c_Product__Type_Oprod_Oprod__case(_u12985, _u12986, _u12984), _u12987)), hAPP(hAPP(c_Product__Type_OSigma(_u12985, _u12986), _u12989), hAPP(c_COMBK(tc_fun(_u12986, tc_HOL_Obool), _u12985), _u12988)))) )).
% 12.21/12.47 cnf(matrix-5986, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12991), _u12992), hAPP(hAPP(c_COMBS(_u12990, tc_fun(_u12991, tc_HOL_Obool), tc_fun(_u12991, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12991, tc_HOL_Obool), tc_fun(tc_fun(_u12991, tc_HOL_Obool), tc_fun(_u12991, tc_HOL_Obool)), _u12990), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12991, tc_HOL_Obool))), _u12993)), _u12994)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12990, _u12991), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12991), _u12992), _u12993)), hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12991), _u12992), _u12994))) )).
% 12.21/12.47 cnf(matrix-5987, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12995, _u12996), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12995, tc_HOL_Obool)), _u12997), _u12998)), hAPP(c_COMBK(tc_fun(_u12996, tc_HOL_Obool), _u12995), _u12999)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12995, _u12996), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12995, _u12996), _u12997), hAPP(c_COMBK(tc_fun(_u12996, tc_HOL_Obool), _u12995), _u12999))), hAPP(hAPP(c_Product__Type_OSigma(_u12995, _u12996), _u12998), hAPP(c_COMBK(tc_fun(_u12996, tc_HOL_Obool), _u12995), _u12999)))) )).
% 12.21/12.47 cnf(matrix-5988, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13000, tc_HOL_Obool)), _u13002), _u13003)), _u13004) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), _u13002), _u13004)), hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), _u13003), _u13004))) )).
% 12.21/12.47 cnf(matrix-5989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13005, _u13006), tc_HOL_Obool)), _u13007), hAPP(hAPP(c_Product__Type_OSigma(_u13005, _u13006), _u13008), hAPP(c_COMBK(tc_fun(_u13006, tc_HOL_Obool), _u13005), _u13009)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13006, _u13010), tc_HOL_Obool)), _u13011), hAPP(hAPP(c_Product__Type_OSigma(_u13006, _u13010), _u13009), hAPP(c_COMBK(tc_fun(_u13010, tc_HOL_Obool), _u13006), _u13012)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13005, _u13010), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13005, _u13006, _u13010), _u13007), _u13011)), hAPP(hAPP(c_Product__Type_OSigma(_u13005, _u13010), _u13008), hAPP(c_COMBK(tc_fun(_u13010, tc_HOL_Obool), _u13005), _u13012)))) )).
% 12.21/12.47 cnf(matrix-5990, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13013, _u13014), tc_prod(_u13014, _u13013), hAPP(c_Product__Type_Oprod_Oprod__case(_u13013, _u13014, tc_prod(_u13014, _u13013)), hAPP(c_COMBC(_u13014, _u13013, tc_prod(_u13014, _u13013)), c_Product__Type_OPair(_u13014, _u13013)))), hAPP(hAPP(c_Product__Type_OSigma(_u13013, _u13014), _u13015), hAPP(c_COMBK(tc_fun(_u13014, tc_HOL_Obool), _u13013), _u13016))) = hAPP(hAPP(c_Product__Type_OSigma(_u13014, _u13013), _u13016), hAPP(c_COMBK(tc_fun(_u13013, tc_HOL_Obool), _u13014), _u13015))) )).
% 12.21/12.47 cnf(matrix-5991, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13017), _u13018)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13019), _u13020)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13017, _u13019)), hAPP(hAPP(c_Product__Type_OSigma(_u13017, _u13019), _u13018), hAPP(c_COMBK(tc_fun(_u13019, tc_HOL_Obool), _u13017), _u13020)))) )).
% 12.21/12.47 cnf(matrix-5992, plain, ( ~c_Equiv__Relations_Oequiv(_u13021, _u13022, _u13023) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13021, _u13021), tc_HOL_Obool)), _u13023), hAPP(hAPP(c_Product__Type_OSigma(_u13021, _u13021), _u13022), hAPP(c_COMBK(tc_fun(_u13021, tc_HOL_Obool), _u13021), _u13022)))) )).
% 12.21/12.47 cnf(matrix-5993, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13025), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13024, tc_HOL_Obool)), _u13026), _u13027)), _u13028) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13024, _u13025), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13025), _u13026), _u13028)), hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13025), _u13027), _u13028))) )).
% 12.21/12.47 cnf(matrix-5994, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13029, _u13030), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13029, tc_HOL_Obool)), _u13031), _u13032)), hAPP(c_COMBK(tc_fun(_u13030, tc_HOL_Obool), _u13029), _u13033)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13029, _u13030), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13029, _u13030), _u13031), hAPP(c_COMBK(tc_fun(_u13030, tc_HOL_Obool), _u13029), _u13033))), hAPP(hAPP(c_Product__Type_OSigma(_u13029, _u13030), _u13032), hAPP(c_COMBK(tc_fun(_u13030, tc_HOL_Obool), _u13029), _u13033)))) )).
% 12.21/12.47 cnf(matrix-5995, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13034, _u13035), _u13036), hAPP(hAPP(c_COMBS(_u13034, tc_fun(_u13035, tc_HOL_Obool), tc_fun(_u13035, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13035, tc_HOL_Obool), tc_fun(tc_fun(_u13035, tc_HOL_Obool), tc_fun(_u13035, tc_HOL_Obool)), _u13034), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13035, tc_HOL_Obool))), _u13037)), _u13038)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13034, _u13035), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13034, _u13035), _u13036), _u13037)), hAPP(hAPP(c_Product__Type_OSigma(_u13034, _u13035), _u13036), _u13038))) )).
% 12.21/12.47 cnf(matrix-5996, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13039, _u13039), tc_HOL_Obool)), c_Relation_OId__on(_u13039, _u13040)), hAPP(hAPP(c_Product__Type_OSigma(_u13039, _u13039), _u13040), hAPP(c_COMBK(tc_fun(_u13039, tc_HOL_Obool), _u13039), _u13040)))) )).
% 12.21/12.47 cnf(matrix-5997, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13041, _u13042), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13041, tc_HOL_Obool)), _u13043), _u13044)), _u13045) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13041, _u13042), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13041, _u13042), _u13043), _u13045)), hAPP(hAPP(c_Product__Type_OSigma(_u13041, _u13042), _u13044), _u13045))) )).
% 12.21/12.47 cnf(matrix-5998, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13046, _u13047), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13046, tc_HOL_Obool)), _u13048), _u13049)), hAPP(c_COMBK(tc_fun(_u13047, tc_HOL_Obool), _u13046), _u13050)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13046, _u13047), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13046, _u13047), _u13048), hAPP(c_COMBK(tc_fun(_u13047, tc_HOL_Obool), _u13046), _u13050))), hAPP(hAPP(c_Product__Type_OSigma(_u13046, _u13047), _u13049), hAPP(c_COMBK(tc_fun(_u13047, tc_HOL_Obool), _u13046), _u13050)))) )).
% 12.21/12.47 cnf(matrix-5999, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13051, _u13052), _u13053), hAPP(hAPP(c_COMBS(_u13051, tc_fun(_u13052, tc_HOL_Obool), tc_fun(_u13052, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13052, tc_HOL_Obool), tc_fun(tc_fun(_u13052, tc_HOL_Obool), tc_fun(_u13052, tc_HOL_Obool)), _u13051), c_Groups_Ominus__class_Ominus(tc_fun(_u13052, tc_HOL_Obool))), _u13054)), _u13055)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13051, _u13052), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13051, _u13052), _u13053), _u13054)), hAPP(hAPP(c_Product__Type_OSigma(_u13051, _u13052), _u13053), _u13055))) )).
% 12.21/12.47 cnf(matrix-6000, plain, ( hBOOL(hAPP(hAPP(_u13066, _u13068), skolem311(_u13068, _u13066))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13062, _u13064, _u13066), _u13068)) )).
% 12.21/12.47 cnf(matrix-6001, plain, ( ~hBOOL(hAPP(hAPP(_u13067, _u13069), _u13057)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13063, _u13065, _u13067), _u13069)) )).
% 12.21/12.47 cnf(matrix-6002, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13070, _u13071), c_Orderings_Otop__class_Otop(tc_fun(_u13070, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13071, tc_HOL_Obool), _u13070), c_Orderings_Otop__class_Otop(tc_fun(_u13071, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13070, _u13071), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6003, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13078, _u13080)), hAPP(hAPP(c_Product__Type_OPair(_u13078, _u13080), _u13082), _u13084)), hAPP(hAPP(c_Product__Type_OSigma(_u13078, _u13080), _u13086), _u13088))) | hBOOL(hAPP(hAPP(c_member(_u13078), _u13082), _u13086)) )).
% 12.21/12.47 cnf(matrix-6004, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13078, _u13080)), hAPP(hAPP(c_Product__Type_OPair(_u13078, _u13080), _u13082), _u13084)), hAPP(hAPP(c_Product__Type_OSigma(_u13078, _u13080), _u13086), _u13088))) | hBOOL(hAPP(hAPP(c_member(_u13080), _u13084), hAPP(_u13088, _u13082))) )).
% 12.21/12.47 cnf(matrix-6005, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13079), _u13083), _u13087)) | ~hBOOL(hAPP(hAPP(c_member(_u13081), _u13085), hAPP(_u13089, _u13083))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13079, _u13081)), hAPP(hAPP(c_Product__Type_OPair(_u13079, _u13081), _u13083), _u13085)), hAPP(hAPP(c_Product__Type_OSigma(_u13079, _u13081), _u13087), _u13089))) )).
% 12.21/12.47 cnf(matrix-6006, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13090, _u13091)), hAPP(hAPP(c_Product__Type_OPair(_u13090, _u13091), _u13092), _u13093)), hAPP(hAPP(c_Product__Type_OSigma(_u13090, _u13091), _u13094), _u13095))) | hBOOL(hAPP(hAPP(c_member(_u13090), _u13092), _u13094)) )).
% 12.21/12.47 cnf(matrix-6007, plain, ( hBOOL(hAPP(hAPP(c_member(_u13097), _u13099), hAPP(_u13101, _u13098))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13096, _u13097)), hAPP(hAPP(c_Product__Type_OPair(_u13096, _u13097), _u13098), _u13099)), hAPP(hAPP(c_Product__Type_OSigma(_u13096, _u13097), _u13100), _u13101))) )).
% 12.21/12.47 cnf(matrix-6008, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13102, _u13103)), hAPP(hAPP(c_Product__Type_OPair(_u13102, _u13103), _u13104), _u13105)), hAPP(hAPP(c_Product__Type_OSigma(_u13102, _u13103), _u13106), _u13107))) | hBOOL(hAPP(hAPP(c_member(_u13102), _u13104), _u13106)) )).
% 12.21/12.47 cnf(matrix-6009, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13102, _u13103)), hAPP(hAPP(c_Product__Type_OPair(_u13102, _u13103), _u13104), _u13105)), hAPP(hAPP(c_Product__Type_OSigma(_u13102, _u13103), _u13106), _u13107))) | hBOOL(hAPP(hAPP(c_member(_u13103), _u13105), hAPP(_u13107, _u13104))) )).
% 12.21/12.47 cnf(matrix-6010, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13108, _u13109)), hAPP(hAPP(c_Product__Type_OSigma(_u13108, _u13109), hAPP(hAPP(c_Set_Oinsert(_u13108), _u13110), c_Orderings_Obot__class_Obot(tc_fun(_u13108, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13109, tc_HOL_Obool), _u13108), _u13111))) = hAPP(c_Finite__Set_Ocard(_u13109), _u13111)) )).
% 12.21/12.47 cnf(matrix-6011, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13112), _u13113), _u13114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13115, _u13112), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13115, _u13112), _u13116), hAPP(c_COMBK(tc_fun(_u13112, tc_HOL_Obool), _u13115), _u13114))), hAPP(hAPP(c_Product__Type_OSigma(_u13115, _u13112), _u13117), hAPP(c_COMBK(tc_fun(_u13112, tc_HOL_Obool), _u13115), _u13114)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13115, tc_HOL_Obool)), _u13116), _u13117)) )).
% 12.21/12.47 cnf(matrix-6012, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13112), _u13113), _u13114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13115, tc_HOL_Obool)), _u13116), _u13117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13115, _u13112), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13115, _u13112), _u13116), hAPP(c_COMBK(tc_fun(_u13112, tc_HOL_Obool), _u13115), _u13114))), hAPP(hAPP(c_Product__Type_OSigma(_u13115, _u13112), _u13117), hAPP(c_COMBK(tc_fun(_u13112, tc_HOL_Obool), _u13115), _u13114)))) )).
% 12.21/12.47 cnf(matrix-6013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13118, _u13119), tc_HOL_Obool)), _u13120), hAPP(hAPP(c_Product__Type_OSigma(_u13118, _u13119), _u13121), hAPP(c_COMBK(tc_fun(_u13119, tc_HOL_Obool), _u13118), _u13122)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13119, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13118, _u13119, _u13120), _u13123)), _u13122)) )).
% 12.21/12.47 cnf(matrix-6014, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13124, _u13125)), hAPP(hAPP(c_Product__Type_OSigma(_u13124, _u13125), _u13126), hAPP(c_COMBK(tc_fun(_u13125, tc_HOL_Obool), _u13124), _u13127)))) | ( _u13127 = c_Orderings_Obot__class_Obot(tc_fun(_u13125, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13124), _u13126)) )).
% 12.21/12.47 cnf(matrix-6015, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13128, _u13129)), hAPP(hAPP(c_Product__Type_OSigma(_u13128, _u13129), _u13130), hAPP(c_COMBK(tc_fun(_u13129, tc_HOL_Obool), _u13128), _u13131)))) | ( _u13130 = c_Orderings_Obot__class_Obot(tc_fun(_u13128, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13129), _u13131)) )).
% 12.21/12.47 cnf(matrix-6016, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13132, _u13133)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13132, _u13133, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13132, tc_fun(_u13133, tc_HOL_Obool), tc_fun(_u13133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13133, tc_HOL_Obool), tc_fun(_u13133, tc_HOL_Obool)), _u13132), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13133)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13132), c_fconj), _u13134))), _u13135))) = hAPP(hAPP(c_Product__Type_OSigma(_u13132, _u13133), hAPP(c_Set_OCollect(_u13132), _u13134)), hAPP(c_COMBK(tc_fun(_u13133, tc_HOL_Obool), _u13132), hAPP(c_Set_OCollect(_u13133), _u13135)))) )).
% 12.21/12.47 cnf(matrix-6017, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13136, _u13137)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13136, _u13137, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13136, tc_fun(_u13137, tc_HOL_Obool), tc_fun(_u13137, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13137, tc_HOL_Obool), tc_fun(_u13137, tc_HOL_Obool)), _u13136), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13137)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13136), c_fconj), _u13138))), _u13139))) = hAPP(hAPP(c_Product__Type_OSigma(_u13136, _u13137), hAPP(c_Set_OCollect(_u13136), _u13138)), hAPP(hAPP(c_COMBB(tc_fun(_u13137, tc_HOL_Obool), tc_fun(_u13137, tc_HOL_Obool), _u13136), c_Set_OCollect(_u13137)), _u13139))) )).
% 12.21/12.47 cnf(matrix-6018, plain, ( ( _u13144 != c_Orderings_Obot__class_Obot(tc_fun(_u13146, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13148, _u13146), _u13148, c_Product__Type_Ofst(_u13148, _u13146)), hAPP(hAPP(c_Product__Type_OSigma(_u13148, _u13146), _u13150), hAPP(c_COMBK(tc_fun(_u13146, tc_HOL_Obool), _u13148), _u13144))) = c_Orderings_Obot__class_Obot(tc_fun(_u13148, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6019, plain, ( ( _u13145 = c_Orderings_Obot__class_Obot(tc_fun(_u13147, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13149, _u13147), _u13149, c_Product__Type_Ofst(_u13149, _u13147)), hAPP(hAPP(c_Product__Type_OSigma(_u13149, _u13147), _u13151), hAPP(c_COMBK(tc_fun(_u13147, tc_HOL_Obool), _u13149), _u13145))) = _u13151) )).
% 12.21/12.47 cnf(matrix-6020, plain, ( ( _u13156 != c_Orderings_Obot__class_Obot(tc_fun(_u13158, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13158, _u13160), _u13160, c_Product__Type_Osnd(_u13158, _u13160)), hAPP(hAPP(c_Product__Type_OSigma(_u13158, _u13160), _u13156), hAPP(c_COMBK(tc_fun(_u13160, tc_HOL_Obool), _u13158), _u13162))) = c_Orderings_Obot__class_Obot(tc_fun(_u13160, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6021, plain, ( ( _u13157 = c_Orderings_Obot__class_Obot(tc_fun(_u13159, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13159, _u13161), _u13161, c_Product__Type_Osnd(_u13159, _u13161)), hAPP(hAPP(c_Product__Type_OSigma(_u13159, _u13161), _u13157), hAPP(c_COMBK(tc_fun(_u13161, tc_HOL_Obool), _u13159), _u13163))) = _u13163) )).
% 12.21/12.47 cnf(matrix-6022, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13164, _u13165), hAPP(hAPP(c_Set_Oinsert(_u13164), _u13166), _u13167)), hAPP(c_COMBK(tc_fun(_u13165, tc_HOL_Obool), _u13164), hAPP(hAPP(c_Set_Oinsert(_u13165), _u13168), _u13169))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13164, _u13165)), hAPP(hAPP(c_Product__Type_OPair(_u13164, _u13165), _u13166), _u13168)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13164, _u13165), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13164, _u13165), _u13167), hAPP(c_COMBK(tc_fun(_u13165, tc_HOL_Obool), _u13164), hAPP(hAPP(c_Set_Oinsert(_u13165), _u13168), _u13169)))), hAPP(hAPP(c_Product__Type_OSigma(_u13164, _u13165), hAPP(hAPP(c_Set_Oinsert(_u13164), _u13166), _u13167)), hAPP(c_COMBK(tc_fun(_u13165, tc_HOL_Obool), _u13164), _u13169))))) )).
% 12.21/12.47 cnf(matrix-6023, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13170, _u13170), tc_HOL_Obool)), _u13172), hAPP(hAPP(c_Product__Type_OSigma(_u13170, _u13170), _u13171), hAPP(c_COMBK(tc_fun(_u13170, tc_HOL_Obool), _u13170), _u13171)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13170, tc_HOL_Obool)), _u13173), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13170), _u13171), _u13172))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13173)) )).
% 12.21/12.47 cnf(matrix-6024, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13174, _u13175), tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13174, _u13175), _u13178), hAPP(c_COMBK(tc_fun(_u13175, tc_HOL_Obool), _u13174), _u13179))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13174, _u13175, tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13174, tc_fun(_u13175, tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool))), tc_fun(_u13175, tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool)), tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool)), tc_fun(tc_fun(_u13175, tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool))), tc_fun(_u13175, tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool))), _u13174), c_COMBB(tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool)), tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool), _u13175)), hAPP(hAPP(c_COMBB(tc_fun(_u13176, tc_HOL_Obool), tc_fun(tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool)), tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool)), _u13174), c_Product__Type_OSigma(_u13176, _u13177)), _u13180))), hAPP(hAPP(c_COMBB(tc_fun(_u13177, tc_HOL_Obool), tc_fun(_u13176, tc_fun(_u13177, tc_HOL_Obool)), _u13175), c_COMBK(tc_fun(_u13177, tc_HOL_Obool), _u13176)), _u13181)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13176, _u13177), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13174, tc_fun(_u13176, tc_HOL_Obool)), _u13178), _u13180)), hAPP(c_COMBK(tc_fun(_u13177, tc_HOL_Obool), _u13176), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13175, tc_fun(_u13177, tc_HOL_Obool)), _u13179), _u13181)))) )).
% 12.21/12.47 cnf(matrix-6025, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13182, _u13183), _u13184), _u13185) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13182, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), _u13184), hAPP(hAPP(c_COMBS(_u13182, tc_fun(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13183, tc_HOL_Obool), tc_fun(tc_fun(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), _u13182), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), _u13185)), hAPP(hAPP(c_COMBC(_u13182, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13183, tc_fun(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), _u13182), c_COMBC(_u13183, tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13183, tc_prod(_u13182, _u13183)), tc_fun(_u13183, tc_fun(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool))), _u13182), hAPP(c_COMBB(tc_prod(_u13182, _u13183), tc_fun(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool), tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)), _u13183), c_Set_Oinsert(tc_prod(_u13182, _u13183)))), c_Product__Type_OPair(_u13182, _u13183)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13182, _u13183), tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-6026, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13186), _u13187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13186, _u13186), tc_HOL_Obool)), _u13188), hAPP(hAPP(c_Product__Type_OSigma(_u13186, _u13186), _u13187), hAPP(c_COMBK(tc_fun(_u13186, tc_HOL_Obool), _u13186), _u13187)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13186, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13186), _u13187), _u13188))) )).
% 12.21/12.47 cnf(matrix-6027, plain, ( ~class_Rings_Osemiring__0(_u13189) | ~c_Fun_Oinj__on(tc_prod(_u13190, _u13191), _u13189, hAPP(c_Product__Type_Oprod_Oprod__case(_u13190, _u13191, _u13189), hAPP(hAPP(c_COMBC(_u13190, tc_fun(_u13191, _u13189), tc_fun(_u13191, _u13189)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, _u13189), tc_fun(tc_fun(_u13191, _u13189), tc_fun(_u13191, _u13189)), _u13190), c_COMBB(_u13189, _u13189, _u13191)), hAPP(hAPP(c_COMBB(_u13189, tc_fun(_u13189, _u13189), _u13190), c_Groups_Otimes__class_Otimes(_u13189)), _u13192))), _u13193)), hAPP(hAPP(c_Product__Type_OSigma(_u13190, _u13191), _u13194), hAPP(c_COMBK(tc_fun(_u13191, tc_HOL_Obool), _u13190), _u13195))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13189), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13190, _u13189), _u13192), _u13194)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13191, _u13189), _u13193), _u13195)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13189, _u13189), c_Fun_Oid(_u13189)), hAPP(c_Set_OCollect(_u13189), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_HOL_Obool), tc_HOL_Obool, _u13189), c_HOL_OEx(_u13190)), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool)), tc_fun(_u13190, tc_HOL_Obool), _u13189), hAPP(c_COMBB(tc_fun(_u13191, tc_HOL_Obool), tc_HOL_Obool, _u13190), c_HOL_OEx(_u13191))), hAPP(hAPP(c_COMBC(_u13189, tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool)), tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_fun(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool))), tc_fun(tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool)), tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool))), _u13189), c_COMBS(_u13190, tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_fun(_u13191, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13190, tc_fun(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool))), _u13189), hAPP(c_COMBB(tc_fun(_u13191, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool)), _u13190), c_COMBS(_u13191, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool)), tc_fun(_u13190, tc_fun(_u13191, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13189), hAPP(c_COMBB(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13190), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13191), c_fconj))), hAPP(hAPP(c_COMBC(_u13189, tc_fun(_u13190, tc_fun(_u13191, _u13189)), tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13191, _u13189), tc_fun(_u13191, tc_HOL_Obool)), tc_fun(tc_fun(_u13190, tc_fun(_u13191, _u13189)), tc_fun(_u13190, tc_fun(_u13191, tc_HOL_Obool))), _u13189), c_COMBB(tc_fun(_u13191, _u13189), tc_fun(_u13191, tc_HOL_Obool), _u13190)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, tc_HOL_Obool), tc_fun(tc_fun(_u13191, _u13189), tc_fun(_u13191, tc_HOL_Obool)), _u13189), c_COMBB(_u13189, tc_HOL_Obool, _u13191)), c_fequal))), hAPP(hAPP(c_COMBC(_u13190, tc_fun(_u13191, _u13189), tc_fun(_u13191, _u13189)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, _u13189), tc_fun(tc_fun(_u13191, _u13189), tc_fun(_u13191, _u13189)), _u13190), c_COMBB(_u13189, _u13189, _u13191)), hAPP(hAPP(c_COMBB(_u13189, tc_fun(_u13189, _u13189), _u13190), c_Groups_Otimes__class_Otimes(_u13189)), _u13192))), _u13193)))))), hAPP(hAPP(c_COMBC(_u13190, tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13191, tc_HOL_Obool), tc_fun(_u13191, tc_HOL_Obool)), _u13190), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13191)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13190), c_fconj), hAPP(hAPP(c_COMBC(_u13190, tc_fun(_u13190, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13190)), _u13194)))), hAPP(hAPP(c_COMBC(_u13191, tc_fun(_u13191, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13191)), _u13195)))))))) )).
% 12.21/12.47 cnf(matrix-6028, plain, ( c_Fun_Oinj__on(_u13197, tc_prod(_u13198, _u13197), skolem312(_u13200, _u13199, _u13198, _u13197), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13198, tc_fun(_u13197, tc_HOL_Obool)), _u13199), _u13200)) )).
% 12.21/12.47 cnf(matrix-6029, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13198, _u13197), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13197, tc_prod(_u13198, _u13197), skolem312(_u13200, _u13199, _u13198, _u13197)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13198, tc_fun(_u13197, tc_HOL_Obool)), _u13199), _u13200))), hAPP(hAPP(c_Product__Type_OSigma(_u13198, _u13197), _u13199), _u13200))) )).
% 12.21/12.47 cnf(matrix-6030, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13203), _u13204)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13202, _u13203, c_Groups_Otimes__class_Otimes(_u13202)), hAPP(hAPP(c_COMBS(_u13203, tc_fun(_u13205, tc_HOL_Obool), _u13202), hAPP(hAPP(c_COMBC(_u13203, _u13202, tc_fun(tc_fun(_u13205, tc_HOL_Obool), _u13202)), hAPP(hAPP(c_COMBB(tc_fun(_u13205, _u13202), tc_fun(_u13202, tc_fun(tc_fun(_u13205, tc_HOL_Obool), _u13202)), _u13203), c_Finite__Set_Ofold__image(_u13202, _u13205, c_Groups_Otimes__class_Otimes(_u13202))), _u13207)), c_Groups_Oone__class_Oone(_u13202))), _u13206)), c_Groups_Oone__class_Oone(_u13202)), _u13204) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13202, tc_prod(_u13203, _u13205), c_Groups_Otimes__class_Otimes(_u13202)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13203, _u13205, _u13202), _u13207)), c_Groups_Oone__class_Oone(_u13202)), hAPP(hAPP(c_Product__Type_OSigma(_u13203, _u13205), _u13204), _u13206))) | hBOOL(hAPP(hAPP(c_member(_u13203), skolem313(_u13207, _u13206, _u13205, _u13204, _u13203, _u13202)), _u13204)) )).
% 12.21/12.47 cnf(matrix-6031, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13203), _u13204)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13202, _u13203, c_Groups_Otimes__class_Otimes(_u13202)), hAPP(hAPP(c_COMBS(_u13203, tc_fun(_u13205, tc_HOL_Obool), _u13202), hAPP(hAPP(c_COMBC(_u13203, _u13202, tc_fun(tc_fun(_u13205, tc_HOL_Obool), _u13202)), hAPP(hAPP(c_COMBB(tc_fun(_u13205, _u13202), tc_fun(_u13202, tc_fun(tc_fun(_u13205, tc_HOL_Obool), _u13202)), _u13203), c_Finite__Set_Ofold__image(_u13202, _u13205, c_Groups_Otimes__class_Otimes(_u13202))), _u13207)), c_Groups_Oone__class_Oone(_u13202))), _u13206)), c_Groups_Oone__class_Oone(_u13202)), _u13204) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13202, tc_prod(_u13203, _u13205), c_Groups_Otimes__class_Otimes(_u13202)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13203, _u13205, _u13202), _u13207)), c_Groups_Oone__class_Oone(_u13202)), hAPP(hAPP(c_Product__Type_OSigma(_u13203, _u13205), _u13204), _u13206))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13205), hAPP(_u13206, skolem313(_u13207, _u13206, _u13205, _u13204, _u13203, _u13202)))) )).
% 12.21/12.47 cnf(matrix-6032, plain, ( ( hAPP(c_Set_Oimage(_u13208, _u13208, c_Fun_Oid(_u13208)), _u13209) = _u13209) )).
% 12.21/12.47 cnf(matrix-6033, plain, ( c_Fun_Oinj__on(_u13210, _u13210, c_Fun_Oid(_u13210), _u13211) )).
% 12.21/12.47 cnf(matrix-6034, plain, ( ( hAPP(c_Set_Ovimage(_u13212, _u13212, c_Fun_Oid(_u13212)), _u13213) = _u13213) )).
% 12.21/12.47 cnf(matrix-6035, plain, ( ( hAPP(c_Fun_Oid(_u13214), _u13215) = _u13215) )).
% 12.21/12.47 cnf(matrix-6036, plain, ( ( hAPP(c_Fun_Oid(_u13216), _u13217) = _u13217) )).
% 12.21/12.47 cnf(matrix-6037, plain, ( ( c_Product__Type_Oapsnd(_u13218, _u13218, _u13219, c_Fun_Oid(_u13218)) = c_Fun_Oid(tc_prod(_u13219, _u13218))) )).
% 12.21/12.47 cnf(matrix-6038, plain, ( ( c_Product__Type_Oapfst(_u13220, _u13220, _u13221, c_Fun_Oid(_u13220)) = c_Fun_Oid(tc_prod(_u13220, _u13221))) )).
% 12.21/12.47 cnf(matrix-6039, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-6040, plain, ( ( hAPP(c_Set_Oimage(_u13222, _u13222, c_Fun_Oid(_u13222)), c_Orderings_Otop__class_Otop(tc_fun(_u13222, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13222, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6041, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13223, _u13224, tc_prod(_u13223, _u13224)), c_Product__Type_OPair(_u13223, _u13224)) = c_Fun_Oid(tc_prod(_u13223, _u13224))) )).
% 12.21/12.47 cnf(matrix-6042, plain, ( ~class_Groups_Ocomm__monoid__add(_u13225) | ~c_Fun_Oinj__on(_u13226, _u13225, _u13227, _u13228) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13226, _u13225), _u13227), _u13228) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13225, _u13225), c_Fun_Oid(_u13225)), hAPP(c_Set_Oimage(_u13226, _u13225, _u13227), _u13228))) )).
% 12.21/12.47 cnf(matrix-6043, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13229) | ~c_Fun_Oinj__on(_u13230, _u13229, _u13231, _u13232) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13230, _u13229), _u13231), _u13232) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13229, _u13229), c_Fun_Oid(_u13229)), hAPP(c_Set_Oimage(_u13230, _u13229, _u13231), _u13232))) )).
% 12.21/12.47 cnf(matrix-6044, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13235), _u13236)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13235, _u13234), hAPP(hAPP(c_COMBS(_u13235, tc_fun(_u13237, tc_HOL_Obool), _u13234), hAPP(hAPP(c_COMBB(tc_fun(_u13237, _u13234), tc_fun(tc_fun(_u13237, tc_HOL_Obool), _u13234), _u13235), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13237, _u13234)), _u13239)), _u13238)), _u13236) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13235, _u13237), _u13234), hAPP(c_Product__Type_Oprod_Oprod__case(_u13235, _u13237, _u13234), _u13239)), hAPP(hAPP(c_Product__Type_OSigma(_u13235, _u13237), _u13236), _u13238))) | hBOOL(hAPP(hAPP(c_member(_u13235), skolem314(_u13239, _u13238, _u13237, _u13236, _u13235, _u13234)), _u13236)) )).
% 12.21/12.47 cnf(matrix-6045, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13235), _u13236)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13235, _u13234), hAPP(hAPP(c_COMBS(_u13235, tc_fun(_u13237, tc_HOL_Obool), _u13234), hAPP(hAPP(c_COMBB(tc_fun(_u13237, _u13234), tc_fun(tc_fun(_u13237, tc_HOL_Obool), _u13234), _u13235), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13237, _u13234)), _u13239)), _u13238)), _u13236) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13235, _u13237), _u13234), hAPP(c_Product__Type_Oprod_Oprod__case(_u13235, _u13237, _u13234), _u13239)), hAPP(hAPP(c_Product__Type_OSigma(_u13235, _u13237), _u13236), _u13238))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13237), hAPP(_u13238, skolem314(_u13239, _u13238, _u13237, _u13236, _u13235, _u13234)))) )).
% 12.21/12.47 cnf(matrix-6046, plain, ( ~class_Groups_Ocomm__monoid__add(_u13241) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), _u13243)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13242, _u13241), hAPP(hAPP(c_COMBS(_u13242, tc_fun(_u13244, tc_HOL_Obool), _u13241), hAPP(hAPP(c_COMBB(tc_fun(_u13244, _u13241), tc_fun(tc_fun(_u13244, tc_HOL_Obool), _u13241), _u13242), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13244, _u13241)), _u13246)), _u13245)), _u13243) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13242, _u13244), _u13241), hAPP(c_Product__Type_Oprod_Oprod__case(_u13242, _u13244, _u13241), _u13246)), hAPP(hAPP(c_Product__Type_OSigma(_u13242, _u13244), _u13243), _u13245))) | hBOOL(hAPP(hAPP(c_member(_u13242), skolem315(_u13246, _u13245, _u13244, _u13243, _u13242, _u13241)), _u13243)) )).
% 12.21/12.47 cnf(matrix-6047, plain, ( ~class_Groups_Ocomm__monoid__add(_u13241) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), _u13243)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13242, _u13241), hAPP(hAPP(c_COMBS(_u13242, tc_fun(_u13244, tc_HOL_Obool), _u13241), hAPP(hAPP(c_COMBB(tc_fun(_u13244, _u13241), tc_fun(tc_fun(_u13244, tc_HOL_Obool), _u13241), _u13242), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13244, _u13241)), _u13246)), _u13245)), _u13243) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13242, _u13244), _u13241), hAPP(c_Product__Type_Oprod_Oprod__case(_u13242, _u13244, _u13241), _u13246)), hAPP(hAPP(c_Product__Type_OSigma(_u13242, _u13244), _u13243), _u13245))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13244), hAPP(_u13245, skolem315(_u13246, _u13245, _u13244, _u13243, _u13242, _u13241)))) )).
% 12.21/12.47 cnf(matrix-6048, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13248), _u13249)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13248, _u13250)), hAPP(hAPP(c_Product__Type_OSigma(_u13248, _u13250), _u13249), _u13251)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13248, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13250, tc_HOL_Obool), tc_Nat_Onat, _u13248), c_Finite__Set_Ocard(_u13250)), _u13251)), _u13249)) | hBOOL(hAPP(hAPP(c_member(_u13248), skolem316(_u13251, _u13250, _u13249, _u13248)), _u13249)) )).
% 12.21/12.47 cnf(matrix-6049, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13248), _u13249)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13248, _u13250)), hAPP(hAPP(c_Product__Type_OSigma(_u13248, _u13250), _u13249), _u13251)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13248, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13250, tc_HOL_Obool), tc_Nat_Onat, _u13248), c_Finite__Set_Ocard(_u13250)), _u13251)), _u13249)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13250), hAPP(_u13251, skolem316(_u13251, _u13250, _u13249, _u13248)))) )).
% 12.21/12.47 cnf(matrix-6050, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13253), _u13254)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13253, _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13255), _u13254), _u13256))) | hBOOL(hAPP(hAPP(c_member(_u13253), skolem317(_u13256, _u13255, _u13254, _u13253)), _u13254)) )).
% 12.21/12.47 cnf(matrix-6051, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13253), _u13254)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13253, _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13255), _u13254), _u13256))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13255), hAPP(_u13256, skolem317(_u13256, _u13255, _u13254, _u13253)))) )).
% 12.21/12.47 cnf(matrix-6052, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13259, _u13260)), _u13261), hAPP(hAPP(c_Product__Type_OSigma(_u13259, _u13260), _u13262), _u13263))) | hBOOL(hAPP(hAPP(c_member(_u13259), skolem318(_u13263, _u13262, _u13261, _u13260, _u13259)), _u13262)) )).
% 12.21/12.47 cnf(matrix-6053, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13259, _u13260)), _u13261), hAPP(hAPP(c_Product__Type_OSigma(_u13259, _u13260), _u13262), _u13263))) | hBOOL(hAPP(hAPP(c_member(_u13260), skolem319(_u13263, _u13262, _u13261, _u13260, _u13259)), hAPP(_u13263, skolem318(_u13263, _u13262, _u13261, _u13260, _u13259)))) )).
% 12.21/12.47 cnf(matrix-6054, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13259, _u13260)), _u13261), hAPP(hAPP(c_Product__Type_OSigma(_u13259, _u13260), _u13262), _u13263))) | ( _u13261 = hAPP(hAPP(c_Product__Type_OPair(_u13259, _u13260), skolem318(_u13263, _u13262, _u13261, _u13260, _u13259)), skolem319(_u13263, _u13262, _u13261, _u13260, _u13259))) )).
% 12.21/12.47 cnf(matrix-6055, plain, ( ( hAPP(c_Set_Oimage(_u13264, _u13265, _u13266), c_Orderings_Otop__class_Otop(tc_fun(_u13264, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13265, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13267, _u13268, _u13269), c_Orderings_Otop__class_Otop(tc_fun(_u13267, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13268, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13264, _u13267), tc_prod(_u13265, _u13268), c_Product__Type_Omap__pair(_u13264, _u13265, _u13267, _u13268, _u13266, _u13269)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13264, _u13267), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13265, _u13268), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6056, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13270, _u13271)), hAPP(hAPP(c_Product__Type_OPair(_u13270, _u13271), _u13272), _u13273)), _u13274)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13275, _u13276)), hAPP(hAPP(c_Product__Type_OPair(_u13275, _u13276), hAPP(_u13277, _u13272)), hAPP(_u13278, _u13273))), hAPP(c_Set_Oimage(tc_prod(_u13270, _u13271), tc_prod(_u13275, _u13276), c_Product__Type_Omap__pair(_u13270, _u13275, _u13271, _u13276, _u13277, _u13278)), _u13274))) )).
% 12.21/12.47 cnf(matrix-6057, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13279, _u13280, _u13281, _u13282, _u13283, _u13284), hAPP(hAPP(c_Product__Type_OPair(_u13279, _u13281), _u13285), _u13286)) = hAPP(hAPP(c_Product__Type_OPair(_u13280, _u13282), hAPP(_u13283, _u13285)), hAPP(_u13284, _u13286))) )).
% 12.21/12.47 cnf(matrix-6058, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13287, _u13287, _u13288, _u13288, c_COMBI(_u13287), c_COMBI(_u13288)), _u13289) = _u13289) )).
% 12.21/12.47 cnf(matrix-6059, plain, ( ( hAPP(c_Product__Type_Osnd(_u13290, _u13291), hAPP(c_Product__Type_Omap__pair(_u13292, _u13290, _u13293, _u13291, _u13294, _u13295), _u13296)) = hAPP(_u13295, hAPP(c_Product__Type_Osnd(_u13292, _u13293), _u13296))) )).
% 12.21/12.47 cnf(matrix-6060, plain, ( ( hAPP(c_Product__Type_Ofst(_u13297, _u13298), hAPP(c_Product__Type_Omap__pair(_u13299, _u13297, _u13300, _u13298, _u13301, _u13302), _u13303)) = hAPP(_u13301, hAPP(c_Product__Type_Ofst(_u13299, _u13300), _u13303))) )).
% 12.21/12.47 cnf(matrix-6061, plain, ( ( c_Product__Type_Omap__pair(_u13304, _u13304, _u13305, _u13305, c_COMBI(_u13304), c_COMBI(_u13305)) = c_Fun_Oid(tc_prod(_u13304, _u13305))) )).
% 12.21/12.47 cnf(matrix-6062, plain, ( ( c_Product__Type_Oapsnd(_u13306, _u13307, _u13308, _u13309) = c_Product__Type_Omap__pair(_u13308, _u13308, _u13306, _u13307, c_Fun_Oid(_u13308), _u13309)) )).
% 12.21/12.47 cnf(matrix-6063, plain, ( ( c_Product__Type_Oapfst(_u13310, _u13311, _u13312, _u13313) = c_Product__Type_Omap__pair(_u13310, _u13311, _u13312, _u13312, _u13313, c_Fun_Oid(_u13312))) )).
% 12.21/12.47 cnf(matrix-6064, plain, ( ( c_Product__Type_Omap__pair(_u13314, _u13314, _u13315, _u13315, c_Fun_Oid(_u13314), c_Fun_Oid(_u13315)) = c_Fun_Oid(tc_prod(_u13314, _u13315))) )).
% 12.21/12.47 cnf(matrix-6065, plain, ( ( c_Product__Type_Omap__pair(_u13316, _u13317, _u13318, _u13319, _u13320, _u13321) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13316, _u13318, tc_prod(_u13317, _u13319)), hAPP(hAPP(c_COMBC(_u13316, tc_fun(_u13318, _u13319), tc_fun(_u13318, tc_prod(_u13317, _u13319))), hAPP(hAPP(c_COMBB(tc_fun(_u13319, tc_prod(_u13317, _u13319)), tc_fun(tc_fun(_u13318, _u13319), tc_fun(_u13318, tc_prod(_u13317, _u13319))), _u13316), c_COMBB(_u13319, tc_prod(_u13317, _u13319), _u13318)), hAPP(hAPP(c_COMBB(_u13317, tc_fun(_u13319, tc_prod(_u13317, _u13319)), _u13316), c_Product__Type_OPair(_u13317, _u13319)), _u13320))), _u13321))) )).
% 12.21/12.47 cnf(matrix-6066, plain, ( ( hAPP(c_Set_Oimage(_u13322, _u13323, _u13324), _u13325) != _u13326) | ( hAPP(c_Set_Oimage(_u13327, _u13328, _u13329), _u13330) != _u13331) | ( hAPP(c_Set_Oimage(tc_prod(_u13322, _u13327), tc_prod(_u13323, _u13328), c_Product__Type_Omap__pair(_u13322, _u13323, _u13327, _u13328, _u13324, _u13329)), hAPP(hAPP(c_Product__Type_OSigma(_u13322, _u13327), _u13325), hAPP(c_COMBK(tc_fun(_u13327, tc_HOL_Obool), _u13322), _u13330))) = hAPP(hAPP(c_Product__Type_OSigma(_u13323, _u13328), _u13326), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13323), _u13331))) )).
% 12.21/12.47 cnf(matrix-6067, plain, ( ~c_Wellfounded_Owf(_u13332, _u13333) | ~c_Fun_Oinj__on(_u13332, _u13334, _u13335, c_Orderings_Otop__class_Otop(tc_fun(_u13332, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13334, hAPP(c_Set_Oimage(tc_prod(_u13332, _u13332), tc_prod(_u13334, _u13334), c_Product__Type_Omap__pair(_u13332, _u13334, _u13332, _u13334, _u13335, _u13335)), _u13333)) )).
% 12.21/12.47 cnf(matrix-6068, plain, ( ~c_Fun_Oinj__on(_u13336, _u13337, _u13338, _u13339) | ~c_Fun_Oinj__on(_u13340, _u13341, _u13342, _u13343) | c_Fun_Oinj__on(tc_prod(_u13336, _u13340), tc_prod(_u13337, _u13341), c_Product__Type_Omap__pair(_u13336, _u13337, _u13340, _u13341, _u13338, _u13342), hAPP(hAPP(c_Product__Type_OSigma(_u13336, _u13340), _u13339), hAPP(c_COMBK(tc_fun(_u13340, tc_HOL_Obool), _u13336), _u13343))) )).
% 12.21/12.47 cnf(matrix-6069, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13346, _u13347)), _u13348), hAPP(c_Set_Oimage(tc_prod(_u13349, _u13350), tc_prod(_u13346, _u13347), c_Product__Type_Omap__pair(_u13349, _u13346, _u13350, _u13347, _u13351, _u13352)), _u13353))) | ( _u13348 = hAPP(hAPP(c_Product__Type_OPair(_u13346, _u13347), hAPP(_u13351, skolem320(_u13353, _u13352, _u13351, _u13350, _u13349, _u13348, _u13347, _u13346))), hAPP(_u13352, skolem321(_u13353, _u13352, _u13351, _u13350, _u13349, _u13348, _u13347, _u13346)))) )).
% 12.21/12.47 cnf(matrix-6070, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13346, _u13347)), _u13348), hAPP(c_Set_Oimage(tc_prod(_u13349, _u13350), tc_prod(_u13346, _u13347), c_Product__Type_Omap__pair(_u13349, _u13346, _u13350, _u13347, _u13351, _u13352)), _u13353))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13349, _u13350)), hAPP(hAPP(c_Product__Type_OPair(_u13349, _u13350), skolem320(_u13353, _u13352, _u13351, _u13350, _u13349, _u13348, _u13347, _u13346)), skolem321(_u13353, _u13352, _u13351, _u13350, _u13349, _u13348, _u13347, _u13346))), _u13353)) )).
% 12.21/12.47 cnf(matrix-6071, plain, ( ~c_Relation_Orefl__on(_u13359, _u13361, _u13363) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13359, _u13359), tc_HOL_Obool)), _u13363), hAPP(hAPP(c_Product__Type_OSigma(_u13359, _u13359), _u13361), hAPP(c_COMBK(tc_fun(_u13359, tc_HOL_Obool), _u13359), _u13361)))) )).
% 12.21/12.47 cnf(matrix-6072, plain, ( ~c_Relation_Orefl__on(_u13359, _u13361, _u13363) | ~hBOOL(hAPP(hAPP(c_member(_u13359), _u13354), _u13361)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13359, _u13359)), hAPP(hAPP(c_Product__Type_OPair(_u13359, _u13359), _u13354), _u13354)), _u13363)) )).
% 12.21/12.47 cnf(matrix-6073, plain, ( c_Relation_Orefl__on(_u13360, _u13362, _u13364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13360, _u13360), tc_HOL_Obool)), _u13364), hAPP(hAPP(c_Product__Type_OSigma(_u13360, _u13360), _u13362), hAPP(c_COMBK(tc_fun(_u13360, tc_HOL_Obool), _u13360), _u13362)))) | hBOOL(hAPP(hAPP(c_member(_u13360), skolem322(_u13364, _u13362, _u13360)), _u13362)) )).
% 12.21/12.47 cnf(matrix-6074, plain, ( c_Relation_Orefl__on(_u13360, _u13362, _u13364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13360, _u13360), tc_HOL_Obool)), _u13364), hAPP(hAPP(c_Product__Type_OSigma(_u13360, _u13360), _u13362), hAPP(c_COMBK(tc_fun(_u13360, tc_HOL_Obool), _u13360), _u13362)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13360, _u13360)), hAPP(hAPP(c_Product__Type_OPair(_u13360, _u13360), skolem322(_u13364, _u13362, _u13360)), skolem322(_u13364, _u13362, _u13360))), _u13364)) )).
% 12.21/12.47 cnf(matrix-6075, plain, ( ~c_Wellfounded_OwfP(_u13367, _u13369) | c_Wellfounded_Owf(_u13367, hAPP(c_Set_OCollect(tc_prod(_u13367, _u13367)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13367, _u13367, tc_HOL_Obool), _u13369))) )).
% 12.21/12.47 cnf(matrix-6076, plain, ( ~c_Wellfounded_Owf(_u13368, hAPP(c_Set_OCollect(tc_prod(_u13368, _u13368)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13368, _u13368, tc_HOL_Obool), _u13370))) | c_Wellfounded_OwfP(_u13368, _u13370) )).
% 12.21/12.47 cnf(matrix-6077, plain, ( c_Wellfounded_OwfP(_u13371, hAPP(c_COMBK(tc_fun(_u13371, tc_HOL_Obool), _u13371), hAPP(c_COMBK(tc_HOL_Obool, _u13371), c_fFalse))) )).
% 12.21/12.47 cnf(matrix-6078, plain, ( c_Relation_Orefl__on(_u13372, _u13373, c_Relation_OId__on(_u13372, _u13373)) )).
% 12.21/12.47 cnf(matrix-6079, plain, ( ~c_Wellfounded_OwfP(_u13378, _u13380) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13378, _u13380), _u13374)) )).
% 12.21/12.47 cnf(matrix-6080, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13379, _u13381), skolem323(_u13381, _u13379))) | c_Wellfounded_OwfP(_u13379, _u13381) )).
% 12.21/12.47 cnf(matrix-6081, plain, ( ~c_Wellfounded_OwfP(_u13382, _u13383) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13382, _u13383), _u13384)) )).
% 12.21/12.47 cnf(matrix-6082, plain, ( ~c_Wellfounded_OwfP(_u13385, _u13386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13385, tc_fun(_u13385, tc_HOL_Obool))), _u13387), _u13386)) | c_Wellfounded_OwfP(_u13385, _u13387) )).
% 12.21/12.47 cnf(matrix-6083, plain, ( c_Relation_Orefl__on(_u13388, c_Orderings_Obot__class_Obot(tc_fun(_u13388, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13388, _u13388), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6084, plain, ( ~c_Relation_Orefl__on(_u13389, _u13390, _u13391) | ~c_Relation_Orefl__on(_u13389, _u13392, _u13393) | c_Relation_Orefl__on(_u13389, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13389, tc_HOL_Obool)), _u13390), _u13392), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13391), _u13393)) )).
% 12.21/12.47 cnf(matrix-6085, plain, ( ~c_Relation_Orefl__on(_u13394, _u13395, _u13396) | ~c_Relation_Orefl__on(_u13394, _u13397, _u13398) | c_Relation_Orefl__on(_u13394, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13394, tc_HOL_Obool)), _u13395), _u13397), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13394, _u13394), tc_HOL_Obool)), _u13396), _u13398)) )).
% 12.21/12.47 cnf(matrix-6086, plain, ( ~c_Relation_Orefl__on(_u13399, _u13400, _u13401) | ~hBOOL(hAPP(hAPP(c_member(_u13399), _u13402), _u13400)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13399, _u13399)), hAPP(hAPP(c_Product__Type_OPair(_u13399, _u13399), _u13402), _u13402)), _u13401)) )).
% 12.21/12.47 cnf(matrix-6087, plain, ( ~c_Relation_Orefl__on(_u13403, _u13404, _u13405) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13403, _u13403)), hAPP(hAPP(c_Product__Type_OPair(_u13403, _u13403), _u13406), _u13407)), _u13405)) | hBOOL(hAPP(hAPP(c_member(_u13403), _u13406), _u13404)) )).
% 12.21/12.47 cnf(matrix-6088, plain, ( ~c_Relation_Orefl__on(_u13408, _u13409, _u13410) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13408, _u13408)), hAPP(hAPP(c_Product__Type_OPair(_u13408, _u13408), _u13411), _u13412)), _u13410)) | hBOOL(hAPP(hAPP(c_member(_u13408), _u13412), _u13409)) )).
% 12.21/12.47 cnf(matrix-6089, plain, ( ~c_Wellfounded_Owf(_u13413, _u13414) | c_Wellfounded_OwfP(_u13413, c_FunDef_Oin__rel(_u13413, _u13413, _u13414)) )).
% 12.21/12.47 cnf(matrix-6090, plain, ( ~c_Wellfounded_OwfP(_u13417, hAPP(hAPP(c_COMBC(_u13417, tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_fun(_u13417, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13417, tc_fun(tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_fun(_u13417, tc_HOL_Obool)), _u13417), c_COMBC(_u13417, tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13417, tc_prod(_u13417, _u13417)), tc_fun(_u13417, tc_fun(tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_HOL_Obool)), _u13417), hAPP(c_COMBB(tc_prod(_u13417, _u13417), tc_fun(tc_fun(tc_prod(_u13417, _u13417), tc_HOL_Obool), tc_HOL_Obool), _u13417), c_member(tc_prod(_u13417, _u13417)))), c_Product__Type_OPair(_u13417, _u13417)))), _u13419)) | c_Wellfounded_Owf(_u13417, _u13419) )).
% 12.21/12.47 cnf(matrix-6091, plain, ( ~c_Wellfounded_Owf(_u13418, _u13420) | c_Wellfounded_OwfP(_u13418, hAPP(hAPP(c_COMBC(_u13418, tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_fun(_u13418, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13418, tc_fun(tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_fun(_u13418, tc_HOL_Obool)), _u13418), c_COMBC(_u13418, tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13418, tc_prod(_u13418, _u13418)), tc_fun(_u13418, tc_fun(tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_HOL_Obool)), _u13418), hAPP(c_COMBB(tc_prod(_u13418, _u13418), tc_fun(tc_fun(tc_prod(_u13418, _u13418), tc_HOL_Obool), tc_HOL_Obool), _u13418), c_member(tc_prod(_u13418, _u13418)))), c_Product__Type_OPair(_u13418, _u13418)))), _u13420)) )).
% 12.21/12.47 cnf(matrix-6092, plain, ( ~c_Predicate_Oreflp(_u13423, _u13425) | c_Relation_Orefl__on(_u13423, c_Orderings_Otop__class_Otop(tc_fun(_u13423, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13423, _u13423)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13423, _u13423, tc_HOL_Obool), _u13425))) )).
% 12.21/12.47 cnf(matrix-6093, plain, ( ~c_Relation_Orefl__on(_u13424, c_Orderings_Otop__class_Otop(tc_fun(_u13424, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13424, _u13424)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13424, _u13424, tc_HOL_Obool), _u13426))) | c_Predicate_Oreflp(_u13424, _u13426) )).
% 12.21/12.47 cnf(matrix-6094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13428, _u13428), tc_HOL_Obool)), _u13429), hAPP(hAPP(c_Product__Type_OSigma(_u13428, _u13428), _u13430), hAPP(c_COMBK(tc_fun(_u13428, tc_HOL_Obool), _u13428), _u13430)))) | c_Relation_Orefl__on(_u13428, _u13430, _u13429) | hBOOL(hAPP(hAPP(c_member(_u13428), skolem324(_u13430, _u13429, _u13428)), _u13430)) )).
% 12.21/12.47 cnf(matrix-6095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13428, _u13428), tc_HOL_Obool)), _u13429), hAPP(hAPP(c_Product__Type_OSigma(_u13428, _u13428), _u13430), hAPP(c_COMBK(tc_fun(_u13428, tc_HOL_Obool), _u13428), _u13430)))) | c_Relation_Orefl__on(_u13428, _u13430, _u13429) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13428, _u13428)), hAPP(hAPP(c_Product__Type_OPair(_u13428, _u13428), skolem324(_u13430, _u13429, _u13428)), skolem324(_u13430, _u13429, _u13428))), _u13429)) )).
% 12.21/12.47 cnf(matrix-6096, plain, ( ~c_Wellfounded_OwfP(_u13431, _u13432) | c_Wellfounded_Oacyclic(_u13431, hAPP(c_Set_OCollect(tc_prod(_u13431, _u13431)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13431, _u13431, tc_HOL_Obool), _u13432))) )).
% 12.21/12.47 cnf(matrix-6097, plain, ( ~c_Wellfounded_Oacyclic(_u13433, _u13434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13433, _u13433), tc_HOL_Obool)), _u13435), _u13434)) | c_Wellfounded_Oacyclic(_u13433, _u13435) )).
% 12.21/12.47 cnf(matrix-6098, plain, ( hBOOL(hAPP(hAPP(_u13437, _u13438), _u13438)) | ~c_Predicate_Oreflp(_u13436, _u13437) )).
% 12.21/12.47 cnf(matrix-6099, plain, ( ~c_Wellfounded_Owf(_u13439, _u13440) | c_Wellfounded_Oacyclic(_u13439, _u13440) )).
% 12.21/12.47 cnf(matrix-6100, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13441, _u13441)), _u13442)) | ~c_Wellfounded_Owf(_u13441, _u13442) | c_Wellfounded_Oacyclic(_u13441, _u13442) )).
% 12.21/12.47 cnf(matrix-6101, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13441, _u13441)), _u13442)) | ~c_Wellfounded_Oacyclic(_u13441, _u13442) | c_Wellfounded_Owf(_u13441, _u13442) )).
% 12.21/12.47 cnf(matrix-6102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13443, _u13443)), _u13444)) | ~c_Wellfounded_Oacyclic(_u13443, _u13444) | c_Wellfounded_Owf(_u13443, _u13444) )).
% 12.21/12.47 cnf(matrix-6103, plain, ( ~c_Nitpick_Owf_H(_u13447, _u13449) | c_Wellfounded_Oacyclic(_u13447, _u13449) )).
% 12.21/12.47 cnf(matrix-6104, plain, ( ~c_Nitpick_Owf_H(_u13447, _u13449) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13447, _u13447)), _u13449)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-6105, plain, ( c_Nitpick_Owf_H(_u13448, _u13450) | ~c_Wellfounded_Oacyclic(_u13448, _u13450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13448, _u13448)), _u13450)) )).
% 12.21/12.47 cnf(matrix-6106, plain, ( c_Nitpick_Owf_H(_u13448, _u13450) | ~c_Wellfounded_Oacyclic(_u13448, _u13450) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-6107, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13452), c_Int_OInteg)) | ~hBOOL(hAPP(_u13453, hAPP(c_Int_ORep__Integ, skolem325(_u13453, _u13452)))) | hBOOL(hAPP(_u13453, _u13452)) )).
% 12.21/12.47 cnf(matrix-6108, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13455), c_Int_OInteg)) | ( _u13455 = hAPP(c_Int_ORep__Integ, skolem326(_u13455))) )).
% 12.21/12.47 cnf(matrix-6109, plain, ( ~c_Relation_Orefl__on(_u13463, _u13465, _u13467) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13463, _u13463)), _u13456), _u13467)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13463, _u13463, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13463, tc_fun(_u13463, tc_HOL_Obool), tc_fun(_u13463, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13463, tc_HOL_Obool), tc_fun(_u13463, tc_HOL_Obool)), _u13463), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13463)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13463), c_fconj), hAPP(hAPP(c_COMBC(_u13463, tc_fun(_u13463, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13463)), _u13465)))), hAPP(hAPP(c_COMBC(_u13463, tc_fun(_u13463, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13463)), _u13465))), _u13456)) )).
% 12.21/12.47 cnf(matrix-6110, plain, ( ~c_Relation_Orefl__on(_u13463, _u13465, _u13467) | ~hBOOL(hAPP(hAPP(c_member(_u13463), _u13457), _u13465)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13463, _u13463)), hAPP(hAPP(c_Product__Type_OPair(_u13463, _u13463), _u13457), _u13457)), _u13467)) )).
% 12.21/12.47 cnf(matrix-6111, plain, ( c_Relation_Orefl__on(_u13464, _u13466, _u13468) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13464, _u13464)), skolem327(_u13468, _u13466, _u13464)), _u13468)) | hBOOL(hAPP(hAPP(c_member(_u13464), skolem328(_u13468, _u13466, _u13464)), _u13466)) )).
% 12.21/12.47 cnf(matrix-6112, plain, ( c_Relation_Orefl__on(_u13464, _u13466, _u13468) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13464, _u13464)), skolem327(_u13468, _u13466, _u13464)), _u13468)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13464, _u13464)), hAPP(hAPP(c_Product__Type_OPair(_u13464, _u13464), skolem328(_u13468, _u13466, _u13464)), skolem328(_u13468, _u13466, _u13464))), _u13468)) )).
% 12.21/12.47 cnf(matrix-6113, plain, ( c_Relation_Orefl__on(_u13464, _u13466, _u13468) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13464, _u13464, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_fun(_u13464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13464, tc_HOL_Obool), tc_fun(_u13464, tc_HOL_Obool)), _u13464), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13464)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13464), c_fconj), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13464)), _u13466)))), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13464)), _u13466))), skolem327(_u13468, _u13466, _u13464))) | hBOOL(hAPP(hAPP(c_member(_u13464), skolem328(_u13468, _u13466, _u13464)), _u13466)) )).
% 12.21/12.47 cnf(matrix-6114, plain, ( c_Relation_Orefl__on(_u13464, _u13466, _u13468) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13464, _u13464, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_fun(_u13464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13464, tc_HOL_Obool), tc_fun(_u13464, tc_HOL_Obool)), _u13464), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13464)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13464), c_fconj), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13464)), _u13466)))), hAPP(hAPP(c_COMBC(_u13464, tc_fun(_u13464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13464)), _u13466))), skolem327(_u13468, _u13466, _u13464))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13464, _u13464)), hAPP(hAPP(c_Product__Type_OPair(_u13464, _u13464), skolem328(_u13468, _u13466, _u13464)), skolem328(_u13468, _u13466, _u13464))), _u13468)) )).
% 12.21/12.47 cnf(matrix-6115, plain, ( hBOOL(hAPP(_u13470, _u13471)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem329(_u13471, _u13470)), c_Int_OInteg)) )).
% 12.21/12.47 cnf(matrix-6116, plain, ( hBOOL(hAPP(_u13470, _u13471)) | ~hBOOL(hAPP(_u13470, hAPP(c_Int_OAbs__Integ, skolem329(_u13471, _u13470)))) )).
% 12.21/12.47 cnf(matrix-6117, plain, ( ( _u13473 = hAPP(c_Int_OAbs__Integ, skolem330(_u13473))) )).
% 12.21/12.47 cnf(matrix-6118, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem330(_u13473)), c_Int_OInteg)) )).
% 12.21/12.47 cnf(matrix-6119, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13474, tc_HOL_Obool) = c_Set_OBall(_u13474)) )).
% 12.21/12.47 cnf(matrix-6120, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13476), _u13475), c_Orderings_Obot__class_Obot(tc_fun(_u13476, tc_HOL_Obool)))) | hBOOL(hAPP(_u13477, _u13475)) )).
% 12.21/12.47 cnf(matrix-6121, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13483, _u13485), _u13487)) | ~hBOOL(hAPP(hAPP(c_member(_u13483), _u13478), _u13487)) | hBOOL(hAPP(_u13485, _u13478)) )).
% 12.21/12.47 cnf(matrix-6122, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13484, _u13486), _u13488)) | hBOOL(hAPP(hAPP(c_member(_u13484), skolem331(_u13488, _u13486, _u13484)), _u13488)) )).
% 12.21/12.47 cnf(matrix-6123, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13484, _u13486), _u13488)) | ~hBOOL(hAPP(_u13486, skolem331(_u13488, _u13486, _u13484))) )).
% 12.21/12.47 cnf(matrix-6124, plain, ( ( hAPP(c_Set_OCollect(_u13489), hAPP(hAPP(c_COMBB(tc_fun(_u13490, tc_HOL_Obool), tc_HOL_Obool, _u13489), c_HOL_OAll(_u13490)), hAPP(hAPP(c_COMBB(tc_fun(_u13490, tc_HOL_Obool), tc_fun(_u13490, tc_HOL_Obool), _u13489), hAPP(c_COMBS(_u13490, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13490), c_fimplies), hAPP(hAPP(c_COMBC(_u13490, tc_fun(_u13490, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13490)), _u13491)))), _u13492))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13490, tc_fun(_u13489, tc_HOL_Obool)), _u13491), hAPP(hAPP(c_COMBB(tc_fun(_u13489, tc_HOL_Obool), tc_fun(_u13489, tc_HOL_Obool), _u13490), c_Set_OCollect(_u13489)), hAPP(c_COMBC(_u13489, _u13490, tc_HOL_Obool), _u13492)))) )).
% 12.21/12.47 cnf(matrix-6125, plain, ( ~c_Equiv__Relations_Ocongruent(_u13499, _u13501, _u13503, _u13505) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13499, _u13499)), _u13493), _u13503)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13499, _u13499, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13499, tc_fun(_u13499, _u13501), tc_fun(_u13499, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13501, tc_HOL_Obool), tc_fun(tc_fun(_u13499, _u13501), tc_fun(_u13499, tc_HOL_Obool)), _u13499), c_COMBB(_u13501, tc_HOL_Obool, _u13499)), hAPP(hAPP(c_COMBB(_u13501, tc_fun(_u13501, tc_HOL_Obool), _u13499), c_fequal), _u13505))), _u13505)), _u13493)) )).
% 12.21/12.47 cnf(matrix-6126, plain, ( c_Equiv__Relations_Ocongruent(_u13500, _u13502, _u13504, _u13506) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13500, _u13500)), skolem332(_u13506, _u13504, _u13502, _u13500)), _u13504)) )).
% 12.21/12.47 cnf(matrix-6127, plain, ( c_Equiv__Relations_Ocongruent(_u13500, _u13502, _u13504, _u13506) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13500, _u13500, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13500, tc_fun(_u13500, _u13502), tc_fun(_u13500, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13502, tc_HOL_Obool), tc_fun(tc_fun(_u13500, _u13502), tc_fun(_u13500, tc_HOL_Obool)), _u13500), c_COMBB(_u13502, tc_HOL_Obool, _u13500)), hAPP(hAPP(c_COMBB(_u13502, tc_fun(_u13502, tc_HOL_Obool), _u13500), c_fequal), _u13506))), _u13506)), skolem332(_u13506, _u13504, _u13502, _u13500))) )).
% 12.21/12.47 cnf(matrix-6128, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13507, tc_fun(_u13508, tc_HOL_Obool)), _u13509), _u13510) = hAPP(c_Set_OCollect(_u13508), hAPP(hAPP(c_COMBB(tc_fun(_u13507, tc_HOL_Obool), tc_HOL_Obool, _u13508), c_HOL_OAll(_u13507)), hAPP(hAPP(c_COMBB(tc_fun(_u13507, tc_HOL_Obool), tc_fun(_u13507, tc_HOL_Obool), _u13508), hAPP(c_COMBS(_u13507, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13507), c_fimplies), hAPP(hAPP(c_COMBC(_u13507, tc_fun(_u13507, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13507)), _u13509)))), hAPP(hAPP(c_COMBC(_u13508, tc_fun(_u13507, tc_fun(_u13508, tc_HOL_Obool)), tc_fun(_u13507, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13508, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13507, tc_fun(_u13508, tc_HOL_Obool)), tc_fun(_u13507, tc_HOL_Obool)), _u13508), c_COMBB(tc_fun(_u13508, tc_HOL_Obool), tc_HOL_Obool, _u13507)), c_member(_u13508))), _u13510))))) )).
% 12.21/12.47 cnf(matrix-6129, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13511) | ( c_Complete__Lattice_OSup__class_OSup(_u13511, _u13512) = c_Complete__Lattice_OInf__class_OInf(_u13511, hAPP(c_Set_OCollect(_u13511), hAPP(hAPP(c_COMBB(tc_fun(_u13511, tc_HOL_Obool), tc_HOL_Obool, _u13511), c_HOL_OAll(_u13511)), hAPP(hAPP(c_COMBB(tc_fun(_u13511, tc_HOL_Obool), tc_fun(_u13511, tc_HOL_Obool), _u13511), hAPP(c_COMBS(_u13511, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13511), c_fimplies), hAPP(hAPP(c_COMBC(_u13511, tc_fun(_u13511, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13511)), _u13512)))), hAPP(c_COMBC(_u13511, _u13511, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13511))))))) )).
% 12.21/12.47 cnf(matrix-6130, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13513) | ( c_Complete__Lattice_OInf__class_OInf(_u13513, _u13514) = c_Complete__Lattice_OSup__class_OSup(_u13513, hAPP(c_Set_OCollect(_u13513), hAPP(hAPP(c_COMBB(tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool, _u13513), c_HOL_OAll(_u13513)), hAPP(hAPP(c_COMBB(tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool), _u13513), hAPP(c_COMBS(_u13513, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13513), c_fimplies), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13514)))), c_Orderings_Oord__class_Oless__eq(_u13513)))))) )).
% 12.21/12.47 cnf(matrix-6131, plain, ( ~c_Wellfounded_OwfP(_u13518, hAPP(_u13519, skolem333(_u13520, _u13519, _u13518))) | c_Wellfounded_OwfP(_u13518, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13520, tc_fun(_u13518, tc_fun(_u13518, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13520, tc_HOL_Obool))), _u13519)) | ( hAPP(_u13519, skolem334(_u13520, _u13519, _u13518)) != hAPP(_u13519, skolem335(_u13520, _u13519, _u13518))) )).
% 12.21/12.47 cnf(matrix-6132, plain, ( ~c_Wellfounded_OwfP(_u13518, hAPP(_u13519, skolem333(_u13520, _u13519, _u13518))) | c_Wellfounded_OwfP(_u13518, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13520, tc_fun(_u13518, tc_fun(_u13518, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13520, tc_HOL_Obool))), _u13519)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13518, tc_HOL_Obool)), c_Predicate_ODomainP(_u13518, _u13518, hAPP(_u13519, skolem334(_u13520, _u13519, _u13518)))), c_Predicate_ORangeP(_u13518, _u13518, hAPP(_u13519, skolem335(_u13520, _u13519, _u13518)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13518, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6133, plain, ( hBOOL(hAPP(hAPP(c_member(_u13526), _u13527), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13524, _u13525, tc_fun(_u13526, tc_HOL_Obool)), _u13528), _u13523))) | ( _u13523 = hAPP(hAPP(c_Product__Type_OPair(_u13524, _u13525), skolem336(_u13528, _u13527, _u13526, _u13525, _u13524, _u13523)), skolem337(_u13528, _u13527, _u13526, _u13525, _u13524, _u13523))) )).
% 12.21/12.47 cnf(matrix-6134, plain, ( hBOOL(hAPP(hAPP(c_member(_u13526), _u13527), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13524, _u13525, tc_fun(_u13526, tc_HOL_Obool)), _u13528), _u13523))) | ~hBOOL(hAPP(hAPP(c_member(_u13526), _u13527), hAPP(hAPP(_u13528, skolem336(_u13528, _u13527, _u13526, _u13525, _u13524, _u13523)), skolem337(_u13528, _u13527, _u13526, _u13525, _u13524, _u13523)))) )).
% 12.21/12.47 cnf(matrix-6135, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13531), _u13532), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13533, _u13534, tc_fun(_u13531, tc_HOL_Obool)), _u13535), _u13536))) | ( _u13536 = hAPP(hAPP(c_Product__Type_OPair(_u13533, _u13534), skolem338(_u13536, _u13535, _u13534, _u13533, _u13532, _u13531)), skolem339(_u13536, _u13535, _u13534, _u13533, _u13532, _u13531))) )).
% 12.21/12.47 cnf(matrix-6136, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13531), _u13532), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13533, _u13534, tc_fun(_u13531, tc_HOL_Obool)), _u13535), _u13536))) | hBOOL(hAPP(hAPP(c_member(_u13531), _u13532), hAPP(hAPP(_u13535, skolem338(_u13536, _u13535, _u13534, _u13533, _u13532, _u13531)), skolem339(_u13536, _u13535, _u13534, _u13533, _u13532, _u13531)))) )).
% 12.21/12.47 cnf(matrix-6137, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u13537, tc_HOL_Obool), _u13538) = hAPP(c_Set_OCollect(_u13537), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13537, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u13537), c_HOL_OAll(tc_fun(_u13537, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13537, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13537, tc_HOL_Obool), tc_HOL_Obool), _u13537), hAPP(c_COMBS(tc_fun(_u13537, 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(_u13537, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u13537, tc_HOL_Obool), tc_fun(tc_fun(_u13537, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u13537, tc_HOL_Obool))), _u13538)))), c_member(_u13537))))) )).
% 12.21/12.47 cnf(matrix-6138, plain, ( ( hAPP(c_Set_Ovimage(_u13539, tc_prod(_u13540, _u13541), _u13542), hAPP(hAPP(c_Product__Type_OSigma(_u13540, _u13541), _u13543), hAPP(c_COMBK(tc_fun(_u13541, tc_HOL_Obool), _u13540), _u13544))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13539, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13539, _u13540, hAPP(c_Fun_Ocomp(tc_prod(_u13540, _u13541), _u13540, _u13539, c_Product__Type_Ofst(_u13540, _u13541)), _u13542)), _u13543)), hAPP(c_Set_Ovimage(_u13539, _u13541, hAPP(c_Fun_Ocomp(tc_prod(_u13540, _u13541), _u13541, _u13539, c_Product__Type_Osnd(_u13540, _u13541)), _u13542)), _u13544))) )).
% 12.21/12.47 cnf(matrix-6139, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13545, _u13546), hAPP(c_Product__Type_Oprod_Oprod__case(_u13545, _u13546, tc_HOL_Obool), _u13547)) = c_Hilbert__Choice_OEps(tc_prod(_u13545, _u13546), hAPP(hAPP(c_COMBS(tc_prod(_u13545, _u13546), _u13546, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13545, tc_fun(_u13546, tc_HOL_Obool), tc_prod(_u13545, _u13546)), _u13547), c_Product__Type_Ofst(_u13545, _u13546))), c_Product__Type_Osnd(_u13545, _u13546)))) )).
% 12.21/12.47 cnf(matrix-6140, plain, ( c_Wellfounded_Owf(_u13549, _u13550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13549, tc_HOL_Obool)), skolem340(_u13550, _u13549)), hAPP(c_Relation_OImage(_u13549, _u13549, _u13550), skolem340(_u13550, _u13549)))) )).
% 12.21/12.47 cnf(matrix-6141, plain, ( c_Wellfounded_Owf(_u13549, _u13550) | ( skolem340(_u13550, _u13549) != c_Orderings_Obot__class_Obot(tc_fun(_u13549, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6142, plain, ( ( hAPP(c_Fun_Ocomp(_u13551, _u13551, _u13552, c_Fun_Oid(_u13551)), _u13553) = _u13553) )).
% 12.21/12.47 cnf(matrix-6143, plain, ( ( hAPP(c_Fun_Ocomp(_u13554, _u13555, _u13554, _u13556), c_Fun_Oid(_u13554)) = _u13556) )).
% 12.21/12.47 cnf(matrix-6144, plain, ( ( hAPP(_u13560, hAPP(_u13561, _u13563)) = hAPP(_u13562, _u13563)) | ( hAPP(c_Fun_Ocomp(_u13557, _u13558, _u13559, _u13560), _u13561) != hAPP(c_Fun_Ocomp(_u13558, _u13558, _u13559, c_Fun_Oid(_u13558)), _u13562)) )).
% 12.21/12.47 cnf(matrix-6145, plain, ( ( hAPP(c_Fun_Ocomp(_u13565, _u13565, _u13565, hAPP(_u13566, _u13567)), hAPP(_u13566, _u13567)) = hAPP(_u13566, _u13567)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13564, _u13565, _u13566) )).
% 12.21/12.47 cnf(matrix-6146, plain, ( ( hAPP(c_Fun_Ocomp(_u13568, _u13569, _u13570, _u13571), c_Fun_Ofun__upd(_u13570, _u13568, _u13572, _u13573, _u13574)) = c_Fun_Ofun__upd(_u13570, _u13569, hAPP(c_Fun_Ocomp(_u13568, _u13569, _u13570, _u13571), _u13572), _u13573, hAPP(_u13571, _u13574))) )).
% 12.21/12.47 cnf(matrix-6147, plain, ( ( hAPP(c_Set_Ovimage(_u13575, _u13576, hAPP(c_Fun_Ocomp(_u13577, _u13576, _u13575, _u13578), _u13579)), _u13580) = hAPP(c_Set_Ovimage(_u13575, _u13577, _u13579), hAPP(c_Set_Ovimage(_u13577, _u13576, _u13578), _u13580))) )).
% 12.21/12.47 cnf(matrix-6148, plain, ( ( hAPP(c_Fun_Ocomp(_u13581, _u13582, _u13583, _u13584), hAPP(c_Fun_Ocomp(_u13585, _u13581, _u13583, _u13586), _u13587)) = hAPP(c_Fun_Ocomp(_u13585, _u13582, _u13583, hAPP(c_Fun_Ocomp(_u13581, _u13582, _u13585, _u13584), _u13586)), _u13587)) )).
% 12.21/12.47 cnf(matrix-6149, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13588, _u13589, _u13590, _u13591), _u13592), _u13593) = hAPP(_u13591, hAPP(_u13592, _u13593))) )).
% 12.21/12.47 cnf(matrix-6150, plain, ( ( hAPP(_u13597, hAPP(_u13598, _u13602)) = hAPP(_u13600, hAPP(_u13601, _u13602))) | ( hAPP(c_Fun_Ocomp(_u13594, _u13595, _u13596, _u13597), _u13598) != hAPP(c_Fun_Ocomp(_u13599, _u13595, _u13596, _u13600), _u13601)) )).
% 12.21/12.47 cnf(matrix-6151, plain, ( ( hAPP(_u13607, hAPP(_u13608, _u13603)) = hAPP(_u13610, hAPP(_u13611, _u13603))) | ( hAPP(c_Fun_Ocomp(_u13604, _u13605, _u13606, _u13607), _u13608) != hAPP(c_Fun_Ocomp(_u13609, _u13605, _u13606, _u13610), _u13611)) )).
% 12.21/12.47 cnf(matrix-6152, plain, ( ~hBOOL(hAPP(_u13613, _u13612)) | hBOOL(hAPP(_u13613, c_Hilbert__Choice_OEps(_u13614, _u13613))) )).
% 12.21/12.47 cnf(matrix-6153, plain, ( ~hBOOL(hAPP(_u13615, _u13616)) | hBOOL(hAPP(_u13615, c_Hilbert__Choice_OEps(_u13617, _u13615))) )).
% 12.21/12.47 cnf(matrix-6154, plain, ( ( hAPP(_u13618, hAPP(_u13619, _u13620)) != hAPP(_u13621, hAPP(_u13622, _u13623))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13624, _u13625, _u13626, _u13618), _u13619), _u13620) = hAPP(hAPP(c_Fun_Ocomp(_u13627, _u13625, _u13628, _u13621), _u13622), _u13623)) )).
% 12.21/12.47 cnf(matrix-6155, plain, ( ( hAPP(_u13632, hAPP(_u13633, _u13635)) = hAPP(_u13634, _u13635)) | ( hAPP(c_Fun_Ocomp(_u13629, _u13630, _u13631, _u13632), _u13633) != _u13634) )).
% 12.21/12.47 cnf(matrix-6156, plain, ( ( hAPP(c_Fun_Ocomp(_u13637, _u13637, _u13637, hAPP(_u13638, _u13639)), hAPP(_u13638, _u13640)) = hAPP(c_Fun_Ocomp(_u13637, _u13637, _u13637, hAPP(_u13638, _u13640)), hAPP(_u13638, _u13639))) | ~c_Finite__Set_Ofun__left__comm(_u13636, _u13637, _u13638) )).
% 12.21/12.47 cnf(matrix-6157, plain, ( ~hBOOL(hAPP(_u13642, _u13641)) | hBOOL(hAPP(_u13642, c_Hilbert__Choice_OEps(_u13643, _u13642))) )).
% 12.21/12.47 cnf(matrix-6158, plain, ( ~hBOOL(hAPP(_u13648, c_Hilbert__Choice_OEps(_u13650, _u13648))) | hBOOL(hAPP(_u13648, skolem341(_u13650, _u13648))) )).
% 12.21/12.47 cnf(matrix-6159, plain, ( ~hBOOL(hAPP(_u13649, _u13645)) | hBOOL(hAPP(_u13649, c_Hilbert__Choice_OEps(_u13651, _u13649))) )).
% 12.21/12.47 cnf(matrix-6160, plain, ( ( c_Hilbert__Choice_OEps(_u13652, hAPP(hAPP(c_COMBC(_u13652, _u13652, tc_HOL_Obool), c_fequal), _u13653)) = _u13653) )).
% 12.21/12.47 cnf(matrix-6161, plain, ( ( c_Hilbert__Choice_OEps(_u13654, hAPP(c_fequal, _u13655)) = _u13655) )).
% 12.21/12.47 cnf(matrix-6162, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13656, _u13657, _u13658, hAPP(c_COMBK(_u13657, _u13656), _u13659)), _u13660), _u13661) = _u13659) )).
% 12.21/12.47 cnf(matrix-6163, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13662, _u13663, _u13664, _u13665), _u13666), _u13667) = hAPP(_u13665, hAPP(_u13666, _u13667))) )).
% 12.21/12.47 cnf(matrix-6164, plain, ( ~hBOOL(hAPP(_u13669, _u13668)) | ( _u13670 != c_Hilbert__Choice_OEps(_u13671, _u13669)) | hBOOL(hAPP(_u13669, _u13670)) )).
% 12.21/12.47 cnf(matrix-6165, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u13672, _u13673, _u13674, _u13675), hAPP(c_Product__Type_Oapsnd(_u13676, _u13672, _u13674, _u13677), _u13678)) = hAPP(c_Product__Type_Oapsnd(_u13676, _u13673, _u13674, hAPP(c_Fun_Ocomp(_u13672, _u13673, _u13676, _u13675), _u13677)), _u13678)) )).
% 12.21/12.47 cnf(matrix-6166, plain, ( ( hAPP(c_Product__Type_Oapfst(_u13679, _u13680, _u13681, _u13682), hAPP(c_Product__Type_Oapfst(_u13683, _u13679, _u13681, _u13684), _u13685)) = hAPP(c_Product__Type_Oapfst(_u13683, _u13680, _u13681, hAPP(c_Fun_Ocomp(_u13679, _u13680, _u13683, _u13682), _u13684)), _u13685)) )).
% 12.21/12.47 cnf(matrix-6167, plain, ( ~c_Fun_Oinj__on(_u13686, _u13687, hAPP(c_Fun_Ocomp(_u13688, _u13687, _u13686, _u13689), _u13690), _u13691) | c_Fun_Oinj__on(_u13686, _u13688, _u13690, _u13691) )).
% 12.21/12.47 cnf(matrix-6168, plain, ( ~c_Fun_Oinj__on(_u13692, _u13693, _u13694, c_Orderings_Otop__class_Otop(tc_fun(_u13692, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13695, _u13692, _u13696, c_Orderings_Otop__class_Otop(tc_fun(_u13695, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13695, _u13693, hAPP(c_Fun_Ocomp(_u13692, _u13693, _u13695, _u13694), _u13696), c_Orderings_Otop__class_Otop(tc_fun(_u13695, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6169, plain, ( ( hAPP(c_Set_Oimage(_u13697, _u13698, _u13699), c_Orderings_Otop__class_Otop(tc_fun(_u13697, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13698, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13698, _u13700, _u13701), c_Orderings_Otop__class_Otop(tc_fun(_u13698, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13700, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13697, _u13700, hAPP(c_Fun_Ocomp(_u13698, _u13700, _u13697, _u13701), _u13699)), c_Orderings_Otop__class_Otop(tc_fun(_u13697, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13700, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6170, plain, ( ~c_Fun_Oinj__on(_u13702, _u13703, _u13704, _u13705) | ~c_Fun_Oinj__on(_u13703, _u13706, _u13707, hAPP(c_Set_Oimage(_u13702, _u13703, _u13704), _u13705)) | c_Fun_Oinj__on(_u13702, _u13706, hAPP(c_Fun_Ocomp(_u13703, _u13706, _u13702, _u13707), _u13704), _u13705) )).
% 12.21/12.47 cnf(matrix-6171, plain, ( ~c_Fun_Oinj__on(_u13702, _u13703, _u13704, _u13705) | ~c_Fun_Oinj__on(_u13702, _u13706, hAPP(c_Fun_Ocomp(_u13703, _u13706, _u13702, _u13707), _u13704), _u13705) | c_Fun_Oinj__on(_u13703, _u13706, _u13707, hAPP(c_Set_Oimage(_u13702, _u13703, _u13704), _u13705)) )).
% 12.21/12.47 cnf(matrix-6172, plain, ( ~c_Fun_Oinj__on(_u13708, _u13709, _u13710, _u13711) | ~c_Fun_Oinj__on(_u13709, _u13712, _u13713, hAPP(c_Set_Oimage(_u13708, _u13709, _u13710), _u13711)) | c_Fun_Oinj__on(_u13708, _u13712, hAPP(c_Fun_Ocomp(_u13709, _u13712, _u13708, _u13713), _u13710), _u13711) )).
% 12.21/12.47 cnf(matrix-6173, plain, ( ~c_Fun_Oinj__on(_u13714, _u13715, hAPP(c_Fun_Ocomp(_u13716, _u13715, _u13714, _u13717), _u13718), _u13719) | c_Fun_Oinj__on(_u13716, _u13715, _u13717, hAPP(c_Set_Oimage(_u13714, _u13716, _u13718), _u13719)) )).
% 12.21/12.47 cnf(matrix-6174, plain, ( ( hAPP(c_Set_Oimage(_u13720, _u13721, hAPP(c_Fun_Ocomp(_u13722, _u13721, _u13720, _u13723), _u13724)), _u13725) = hAPP(c_Set_Oimage(_u13722, _u13721, _u13723), hAPP(c_Set_Oimage(_u13720, _u13722, _u13724), _u13725))) )).
% 12.21/12.47 cnf(matrix-6175, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13726, _u13727, _u13728, _u13729, _u13730, _u13731), hAPP(c_Product__Type_Omap__pair(_u13732, _u13726, _u13733, _u13728, _u13734, _u13735), _u13736)) = hAPP(c_Product__Type_Omap__pair(_u13732, _u13727, _u13733, _u13729, hAPP(c_Fun_Ocomp(_u13726, _u13727, _u13732, _u13730), _u13734), hAPP(c_Fun_Ocomp(_u13728, _u13729, _u13733, _u13731), _u13735)), _u13736)) )).
% 12.21/12.47 cnf(matrix-6176, plain, ( ( c_Product__Type_Omap__pair(_u13737, _u13738, _u13739, _u13740, hAPP(c_Fun_Ocomp(_u13741, _u13738, _u13737, _u13742), _u13743), hAPP(c_Fun_Ocomp(_u13744, _u13740, _u13739, _u13745), _u13746)) = hAPP(c_Fun_Ocomp(tc_prod(_u13741, _u13744), tc_prod(_u13738, _u13740), tc_prod(_u13737, _u13739), c_Product__Type_Omap__pair(_u13741, _u13738, _u13744, _u13740, _u13742, _u13745)), c_Product__Type_Omap__pair(_u13737, _u13741, _u13739, _u13744, _u13743, _u13746))) )).
% 12.21/12.47 cnf(matrix-6177, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13747, _u13748), tc_prod(_u13749, _u13750), tc_prod(_u13751, _u13752), c_Product__Type_Omap__pair(_u13747, _u13749, _u13748, _u13750, _u13753, _u13754)), c_Product__Type_Omap__pair(_u13751, _u13747, _u13752, _u13748, _u13755, _u13756)) = c_Product__Type_Omap__pair(_u13751, _u13749, _u13752, _u13750, hAPP(c_Fun_Ocomp(_u13747, _u13749, _u13751, _u13753), _u13755), hAPP(c_Fun_Ocomp(_u13748, _u13750, _u13752, _u13754), _u13756))) )).
% 12.21/12.47 cnf(matrix-6178, plain, ( ~class_Groups_Ocomm__monoid__add(_u13757) | ~c_Fun_Oinj__on(_u13758, _u13759, _u13760, _u13761) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13759, _u13757), _u13762), hAPP(c_Set_Oimage(_u13758, _u13759, _u13760), _u13761)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13758, _u13757), hAPP(c_Fun_Ocomp(_u13759, _u13757, _u13758, _u13762), _u13760)), _u13761)) )).
% 12.21/12.47 cnf(matrix-6179, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13763) | ~c_Fun_Oinj__on(_u13764, _u13765, _u13766, _u13767) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13765, _u13763), _u13768), hAPP(c_Set_Oimage(_u13764, _u13765, _u13766), _u13767)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13764, _u13763), hAPP(c_Fun_Ocomp(_u13765, _u13763, _u13764, _u13768), _u13766)), _u13767)) )).
% 12.21/12.47 cnf(matrix-6180, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13769) | ~c_Fun_Oinj__on(_u13770, _u13771, _u13772, _u13773) | ( _u13774 != hAPP(c_Set_Oimage(_u13770, _u13771, _u13772), _u13773)) | ( _u13775 != hAPP(c_Fun_Ocomp(_u13771, _u13769, _u13770, _u13776), _u13772)) | ( 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)) )).
% 12.21/12.47 cnf(matrix-6181, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13777, _u13778), hAPP(c_Product__Type_Oprod_Oprod__case(_u13777, _u13778, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13777, tc_fun(_u13778, tc_HOL_Obool), tc_fun(_u13778, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13778, tc_HOL_Obool), tc_fun(_u13778, tc_HOL_Obool)), _u13777), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13778)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13777), c_fconj), hAPP(c_fequal, _u13779)))), hAPP(c_fequal, _u13780)))) = hAPP(hAPP(c_Product__Type_OPair(_u13777, _u13778), _u13779), _u13780)) )).
% 12.21/12.47 cnf(matrix-6182, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13781, _u13782), _u13783) = c_Hilbert__Choice_OEps(tc_prod(_u13781, _u13782), hAPP(c_Product__Type_Oprod_Oprod__case(_u13781, _u13782, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13782, tc_prod(_u13781, _u13782)), tc_fun(_u13782, tc_HOL_Obool), _u13781), hAPP(c_COMBB(tc_prod(_u13781, _u13782), tc_HOL_Obool, _u13782), _u13783)), c_Product__Type_OPair(_u13781, _u13782))))) )).
% 12.21/12.47 cnf(matrix-6183, plain, ( ~class_Groups_Ocomm__monoid__add(_u13784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13785), _u13786)) | ~c_Fun_Oinj__on(_u13785, _u13785, _u13787, _u13786) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13785, _u13784), _u13788), hAPP(c_Set_Oimage(_u13785, _u13785, _u13787), _u13786)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13785, _u13784), hAPP(c_Fun_Ocomp(_u13785, _u13784, _u13785, _u13788), _u13787)), _u13786)) )).
% 12.21/12.47 cnf(matrix-6184, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13789) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13790), _u13791)) | ~c_Fun_Oinj__on(_u13790, _u13790, _u13792, _u13791) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13790, _u13789), _u13793), hAPP(c_Set_Oimage(_u13790, _u13790, _u13792), _u13791)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13790, _u13789), hAPP(c_Fun_Ocomp(_u13790, _u13789, _u13790, _u13793), _u13792)), _u13791)) )).
% 12.21/12.47 cnf(matrix-6185, plain, ( ~c_Fun_Oinj__on(_u13794, _u13795, _u13796, hAPP(c_Set_Oimage(_u13797, _u13794, _u13798), _u13799)) | ~c_Fun_Oinj__on(_u13797, _u13794, _u13798, _u13799) | ~hBOOL(hAPP(hAPP(c_member(_u13795), _u13800), hAPP(c_Set_Oimage(_u13794, _u13795, _u13796), hAPP(c_Set_Oimage(_u13797, _u13794, _u13798), _u13799)))) | ( hAPP(c_Fun_Othe__inv__into(_u13797, _u13795, _u13799, hAPP(c_Fun_Ocomp(_u13794, _u13795, _u13797, _u13796), _u13798)), _u13800) = hAPP(hAPP(c_Fun_Ocomp(_u13794, _u13797, _u13795, c_Fun_Othe__inv__into(_u13797, _u13794, _u13799, _u13798)), c_Fun_Othe__inv__into(_u13794, _u13795, hAPP(c_Set_Oimage(_u13797, _u13794, _u13798), _u13799), _u13796)), _u13800)) )).
% 12.21/12.47 cnf(matrix-6186, plain, ( ~class_Groups_Oab__semigroup__mult(_u13801) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13802), _u13803)) | ~c_Fun_Oinj__on(_u13802, _u13804, _u13805, _u13803) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13801, _u13804, c_Groups_Otimes__class_Otimes(_u13801)), _u13806), _u13807), hAPP(c_Set_Oimage(_u13802, _u13804, _u13805), _u13803)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13801, _u13802, c_Groups_Otimes__class_Otimes(_u13801)), hAPP(c_Fun_Ocomp(_u13804, _u13801, _u13802, _u13806), _u13805)), _u13807), _u13803)) )).
% 12.21/12.47 cnf(matrix-6187, plain, ( ~c_Finite__Set_Ofolding(_u13808, _u13809, _u13810, _u13811) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13808), _u13812)) | ~hBOOL(hAPP(hAPP(c_member(_u13808), _u13813), _u13812)) | ( hAPP(_u13811, _u13812) = hAPP(c_Fun_Ocomp(_u13809, _u13809, _u13809, hAPP(_u13811, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13808, tc_HOL_Obool)), _u13812), hAPP(hAPP(c_Set_Oinsert(_u13808), _u13813), c_Orderings_Obot__class_Obot(tc_fun(_u13808, tc_HOL_Obool)))))), hAPP(_u13810, _u13813))) )).
% 12.21/12.47 cnf(matrix-6188, plain, ( ~c_Finite__Set_Ofolding__image(_u13814, _u13815, _u13816, _u13817, _u13818) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13815), _u13819)) | ~c_Fun_Oinj__on(_u13815, _u13815, _u13820, _u13819) | ( hAPP(hAPP(_u13818, _u13821), hAPP(c_Set_Oimage(_u13815, _u13815, _u13820), _u13819)) = hAPP(hAPP(_u13818, hAPP(c_Fun_Ocomp(_u13815, _u13814, _u13815, _u13821), _u13820)), _u13819)) )).
% 12.21/12.47 cnf(matrix-6189, plain, ( ~c_Finite__Set_Ofolding(_u13822, _u13823, _u13824, _u13825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13822), _u13826)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13822), _u13827)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13822, tc_HOL_Obool)), _u13826), _u13827) != c_Orderings_Obot__class_Obot(tc_fun(_u13822, tc_HOL_Obool))) | ( hAPP(_u13825, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13822, tc_HOL_Obool)), _u13826), _u13827)) = hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13823, hAPP(_u13825, _u13826)), hAPP(_u13825, _u13827))) )).
% 12.21/12.47 cnf(matrix-6190, plain, ( ~c_Finite__Set_Ofolding(_u13828, _u13829, _u13830, _u13831) | ( hAPP(c_Fun_Ocomp(_u13832, _u13833, _u13834, _u13835), hAPP(c_Fun_Ocomp(_u13836, _u13832, _u13834, _u13837), _u13838)) = hAPP(c_Fun_Ocomp(_u13836, _u13833, _u13834, hAPP(c_Fun_Ocomp(_u13832, _u13833, _u13836, _u13835), _u13837)), _u13838)) )).
% 12.21/12.47 cnf(matrix-6191, plain, ( ( hAPP(c_Fun_Ocomp(_u13840, _u13840, _u13840, hAPP(_u13841, _u13843)), hAPP(_u13841, _u13844)) = hAPP(c_Fun_Ocomp(_u13840, _u13840, _u13840, hAPP(_u13841, _u13844)), hAPP(_u13841, _u13843))) | ~c_Finite__Set_Ofolding(_u13839, _u13840, _u13841, _u13842) )).
% 12.21/12.47 cnf(matrix-6192, plain, ( ( hAPP(c_Fun_Ocomp(_u13846, _u13846, _u13849, hAPP(_u13847, _u13850)), hAPP(c_Fun_Ocomp(_u13846, _u13846, _u13849, hAPP(_u13847, _u13851)), _u13852)) = hAPP(c_Fun_Ocomp(_u13846, _u13846, _u13849, hAPP(_u13847, _u13851)), hAPP(c_Fun_Ocomp(_u13846, _u13846, _u13849, hAPP(_u13847, _u13850)), _u13852))) | ~c_Finite__Set_Ofolding(_u13845, _u13846, _u13847, _u13848) )).
% 12.21/12.47 cnf(matrix-6193, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13853, tc_fun(_u13854, tc_HOL_Obool)), _u13855), hAPP(c_Fun_Ocomp(_u13856, tc_fun(_u13854, tc_HOL_Obool), _u13853, _u13857), _u13858)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13856, tc_fun(_u13854, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13853, _u13856, _u13858), _u13855)), _u13857)) )).
% 12.21/12.47 cnf(matrix-6194, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13859, _u13860), _u13859, tc_prod(_u13861, _u13862), c_Product__Type_Ofst(_u13859, _u13860)), c_Product__Type_Omap__pair(_u13861, _u13859, _u13862, _u13860, _u13863, _u13864)) = hAPP(c_Fun_Ocomp(_u13861, _u13859, tc_prod(_u13861, _u13862), _u13863), c_Product__Type_Ofst(_u13861, _u13862))) )).
% 12.21/12.47 cnf(matrix-6195, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13865, _u13866), _u13866, tc_prod(_u13867, _u13868), c_Product__Type_Osnd(_u13865, _u13866)), c_Product__Type_Omap__pair(_u13867, _u13865, _u13868, _u13866, _u13869, _u13870)) = hAPP(c_Fun_Ocomp(_u13868, _u13866, tc_prod(_u13867, _u13868), _u13870), c_Product__Type_Osnd(_u13867, _u13868))) )).
% 12.21/12.47 cnf(matrix-6196, plain, ( ~c_Finite__Set_Ofolding__image(_u13871, _u13872, _u13873, _u13874, _u13875) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13872), _u13876)) | ( hAPP(hAPP(_u13875, hAPP(hAPP(c_COMBS(_u13872, _u13871, _u13871), hAPP(hAPP(c_COMBB(_u13871, tc_fun(_u13871, _u13871), _u13872), _u13873), _u13877)), _u13878)), _u13876) = hAPP(hAPP(_u13873, hAPP(hAPP(_u13875, _u13877), _u13876)), hAPP(hAPP(_u13875, _u13878), _u13876))) )).
% 12.21/12.47 cnf(matrix-6197, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13879, _u13880, _u13881), hAPP(c_Fun_Ocomp(_u13882, tc_fun(_u13880, _u13881), _u13879, _u13883), _u13884)), _u13885) = hAPP(hAPP(_u13883, hAPP(_u13884, hAPP(c_Product__Type_Ofst(_u13879, _u13880), _u13885))), hAPP(c_Product__Type_Osnd(_u13879, _u13880), _u13885))) )).
% 12.21/12.47 cnf(matrix-6198, plain, ( ~c_Finite__Set_Ofolding(_u13886, _u13887, _u13888, _u13889) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13886), _u13890)) | ( hAPP(c_Fun_Ocomp(_u13887, _u13887, _u13887, hAPP(_u13888, _u13891)), hAPP(_u13889, _u13890)) = hAPP(c_Fun_Ocomp(_u13887, _u13887, _u13887, hAPP(_u13889, _u13890)), hAPP(_u13888, _u13891))) )).
% 12.21/12.47 cnf(matrix-6199, plain, ( ~c_Finite__Set_Ofolding(_u13892, _u13893, _u13894, _u13895) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13892), _u13896)) | ( hAPP(c_Fun_Ocomp(_u13893, _u13893, _u13897, hAPP(_u13894, _u13898)), hAPP(c_Fun_Ocomp(_u13893, _u13893, _u13897, hAPP(_u13895, _u13896)), _u13899)) = hAPP(c_Fun_Ocomp(_u13893, _u13893, _u13897, hAPP(_u13895, _u13896)), hAPP(c_Fun_Ocomp(_u13893, _u13893, _u13897, hAPP(_u13894, _u13898)), _u13899))) )).
% 12.21/12.47 cnf(matrix-6200, plain, ( ~c_Finite__Set_Ofolding(_u13900, _u13901, _u13902, _u13903) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13900), _u13904)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13900), _u13905)) | ( hAPP(c_Fun_Ocomp(_u13901, _u13901, _u13901, hAPP(_u13903, _u13905)), hAPP(_u13903, _u13904)) = hAPP(c_Fun_Ocomp(_u13901, _u13901, _u13901, hAPP(_u13903, _u13904)), hAPP(_u13903, _u13905))) )).
% 12.21/12.47 cnf(matrix-6201, plain, ( ~c_Finite__Set_Ofolding(_u13906, _u13907, _u13908, _u13909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13906), _u13910)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13906), _u13911)) | ( hAPP(c_Fun_Ocomp(_u13907, _u13907, _u13912, hAPP(_u13909, _u13911)), hAPP(c_Fun_Ocomp(_u13907, _u13907, _u13912, hAPP(_u13909, _u13910)), _u13913)) = hAPP(c_Fun_Ocomp(_u13907, _u13907, _u13912, hAPP(_u13909, _u13910)), hAPP(c_Fun_Ocomp(_u13907, _u13907, _u13912, hAPP(_u13909, _u13911)), _u13913))) )).
% 12.21/12.47 cnf(matrix-6202, plain, ( ~c_Finite__Set_Ofolding(_u13914, _u13915, _u13916, _u13917) | ( hAPP(_u13917, c_Orderings_Obot__class_Obot(tc_fun(_u13914, tc_HOL_Obool))) = c_Fun_Oid(_u13915)) )).
% 12.21/12.47 cnf(matrix-6203, plain, ( ~c_Finite__Set_Ofolding(_u13918, _u13919, _u13920, _u13921) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13918), _u13922)) | ( hAPP(hAPP(_u13921, _u13922), _u13923) = hAPP(hAPP(c_Finite__Set_Ofold(_u13918, _u13919, _u13920), _u13923), _u13922)) )).
% 12.21/12.47 cnf(matrix-6204, plain, ( ~c_Finite__Set_Ofolding__image(_u13924, _u13925, _u13926, _u13927, _u13928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13925), _u13929)) | ( hAPP(hAPP(_u13928, _u13930), _u13929) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13924, _u13925, _u13926), _u13930), _u13927), _u13929)) )).
% 12.21/12.47 cnf(matrix-6205, plain, ( ~c_Finite__Set_Ofolding(_u13931, _u13932, _u13933, _u13934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13931), _u13935)) | hBOOL(hAPP(hAPP(c_member(_u13931), _u13936), _u13935)) | ( hAPP(_u13934, hAPP(hAPP(c_Set_Oinsert(_u13931), _u13936), _u13935)) = hAPP(c_Fun_Ocomp(_u13932, _u13932, _u13932, hAPP(_u13934, _u13935)), hAPP(_u13933, _u13936))) )).
% 12.21/12.47 cnf(matrix-6206, plain, ( ~c_Finite__Set_Ofolding(_u13937, _u13938, _u13939, _u13940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13937), _u13941)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13937), _u13942)) | ( hAPP(c_Fun_Ocomp(_u13938, _u13938, _u13938, hAPP(_u13940, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13937, tc_HOL_Obool)), _u13941), _u13942))), hAPP(_u13940, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13937, tc_HOL_Obool)), _u13941), _u13942))) = hAPP(c_Fun_Ocomp(_u13938, _u13938, _u13938, hAPP(_u13940, _u13941)), hAPP(_u13940, _u13942))) )).
% 12.21/12.47 cnf(matrix-6207, plain, ( ~c_Finite__Set_Ofolding(_u13943, _u13944, _u13945, _u13946) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13943), _u13947)) | ( hAPP(_u13946, hAPP(hAPP(c_Set_Oinsert(_u13943), _u13948), _u13947)) = hAPP(c_Fun_Ocomp(_u13944, _u13944, _u13944, hAPP(_u13946, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13943, tc_HOL_Obool)), _u13947), hAPP(hAPP(c_Set_Oinsert(_u13943), _u13948), c_Orderings_Obot__class_Obot(tc_fun(_u13943, tc_HOL_Obool)))))), hAPP(_u13945, _u13948))) )).
% 12.21/12.47 cnf(matrix-6208, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13949, _u13950, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13949)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13949), c_Hoare__Mirabelle_Opeek__and(_u13949, _u13951, _u13952)), _u13953), _u13954)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13949), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u13949, _u13950, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13949)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13949), c_Hoare__Mirabelle_Opeek__and(_u13949, _u13951, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13952))), _u13955), _u13954)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13949), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13949, _u13950, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13949)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13949), _u13951), c_Com_Ocom_OCond(_u13952, _u13953, _u13955)), _u13954)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13949), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-6209, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13956, _u13957, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13956)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13956), c_Hoare__Mirabelle_Opeek__and(_u13956, _u13958, _u13959)), _u13960), _u13958)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13956), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13956, _u13957, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13956)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13956), _u13958), c_Com_Ocom_OWhile(_u13959, _u13960)), c_Hoare__Mirabelle_Opeek__and(_u13956, _u13958, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13959)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13956), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-6210, plain, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | hBOOL(hAPP(hAPP(c_member(_u13964), skolem342(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963)), _u13965)) )).
% 12.21/12.47 cnf(matrix-6211, plain, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | hBOOL(hAPP(hAPP(c_member(_u13964), skolem343(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963)), _u13965)) )).
% 12.21/12.47 cnf(matrix-6212, plain, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | ( skolem342(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963) != skolem343(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963)) )).
% 12.21/12.47 cnf(matrix-6213, plain, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | ( hAPP(_u13966, skolem342(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963)) = hAPP(_u13966, skolem343(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963))) )).
% 12.21/12.47 cnf(matrix-6214, plain, ( ~class_Groups_Ocomm__monoid__add(_u13963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13964), _u13965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13968, _u13963), _u13967), hAPP(c_Set_Oimage(_u13964, _u13968, _u13966), _u13965)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13964, _u13963), hAPP(c_Fun_Ocomp(_u13968, _u13963, _u13964, _u13967), _u13966)), _u13965)) | ( hAPP(_u13967, hAPP(_u13966, skolem342(_u13968, _u13967, _u13966, _u13965, _u13964, _u13963))) != c_Groups_Ozero__class_Ozero(_u13963)) )).
% 12.21/12.47 cnf(matrix-6215, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13974, _u13976, _u13978), _u13980), _u13982)) | hBOOL(hAPP(hAPP(_u13976, _u13980), _u13982)) )).
% 12.21/12.47 cnf(matrix-6216, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13974, _u13976, _u13978), _u13980), _u13982)) | hBOOL(hAPP(_u13978, _u13982)) )).
% 12.21/12.47 cnf(matrix-6217, plain, ( ~hBOOL(hAPP(hAPP(_u13977, _u13981), _u13983)) | ~hBOOL(hAPP(_u13979, _u13983)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13975, _u13977, _u13979), _u13981), _u13983)) )).
% 12.21/12.47 cnf(matrix-6218, plain, ( ~c_Finite__Set_Ofolding__idem(_u13984, _u13985, _u13986, _u13987) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13984), _u13988)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13984), _u13989)) | ( hAPP(_u13987, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13984, tc_HOL_Obool)), _u13988), _u13989)) = hAPP(c_Fun_Ocomp(_u13985, _u13985, _u13985, hAPP(_u13987, _u13988)), hAPP(_u13987, _u13989))) )).
% 12.21/12.47 cnf(matrix-6219, plain, ( ~c_Finite__Set_Ofolding__idem(_u13990, _u13991, _u13992, _u13993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13990), _u13994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13990, tc_HOL_Obool)), _u13995), _u13994)) | ( hAPP(c_Fun_Ocomp(_u13991, _u13991, _u13991, hAPP(_u13993, _u13994)), hAPP(_u13993, _u13995)) = hAPP(_u13993, _u13994)) )).
% 12.21/12.47 cnf(matrix-6220, plain, ( ~c_Finite__Set_Ofolding__idem(_u13996, _u13997, _u13998, _u13999) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13996), _u14000)) | ( hAPP(_u13999, hAPP(hAPP(c_Set_Oinsert(_u13996), _u14001), _u14000)) = hAPP(c_Fun_Ocomp(_u13997, _u13997, _u13997, hAPP(_u13999, _u14000)), hAPP(_u13998, _u14001))) )).
% 12.21/12.47 cnf(matrix-6221, plain, ( ( hAPP(c_Fun_Ocomp(_u14003, _u14003, _u14006, hAPP(_u14004, _u14007)), hAPP(c_Fun_Ocomp(_u14003, _u14003, _u14006, hAPP(_u14004, _u14007)), _u14008)) = hAPP(c_Fun_Ocomp(_u14003, _u14003, _u14006, hAPP(_u14004, _u14007)), _u14008)) | ~c_Finite__Set_Ofolding__idem(_u14002, _u14003, _u14004, _u14005) )).
% 12.21/12.47 cnf(matrix-6222, plain, ( ( hAPP(c_Fun_Ocomp(_u14010, _u14010, _u14010, hAPP(_u14011, _u14013)), hAPP(_u14011, _u14013)) = hAPP(_u14011, _u14013)) | ~c_Finite__Set_Ofolding__idem(_u14009, _u14010, _u14011, _u14012) )).
% 12.21/12.47 cnf(matrix-6223, plain, ( ~c_Finite__Set_Ofolding__idem(_u14014, _u14015, _u14016, _u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14014), _u14018)) | ~hBOOL(hAPP(hAPP(c_member(_u14014), _u14019), _u14018)) | ( hAPP(c_Fun_Ocomp(_u14015, _u14015, _u14015, hAPP(_u14017, _u14018)), hAPP(_u14016, _u14019)) = hAPP(_u14017, _u14018)) )).
% 12.21/12.47 cnf(matrix-6224, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14021) | ~c_Fun_Oinj__on(_u14022, _u14023, _u14024, _u14025) | ( _u14026 != hAPP(c_Set_Oimage(_u14022, _u14023, _u14024), _u14025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14023, _u14021), _u14028), _u14026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14022, _u14021), _u14027), _u14025)) | hBOOL(hAPP(hAPP(c_member(_u14022), skolem344(_u14028, _u14027, _u14026, _u14025, _u14024, _u14023, _u14022, _u14021)), _u14025)) )).
% 12.21/12.47 cnf(matrix-6225, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14021) | ~c_Fun_Oinj__on(_u14022, _u14023, _u14024, _u14025) | ( _u14026 != hAPP(c_Set_Oimage(_u14022, _u14023, _u14024), _u14025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14023, _u14021), _u14028), _u14026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14022, _u14021), _u14027), _u14025)) | ( hAPP(_u14027, skolem344(_u14028, _u14027, _u14026, _u14025, _u14024, _u14023, _u14022, _u14021)) != hAPP(hAPP(c_Fun_Ocomp(_u14023, _u14021, _u14022, _u14028), _u14024), skolem344(_u14028, _u14027, _u14026, _u14025, _u14024, _u14023, _u14022, _u14021))) )).
% 12.21/12.47 cnf(matrix-6226, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14030, tc_HOL_Obool)), _u14031), _u14032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14030, _u14033), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14030, _u14033), _u14031), _u14034)), hAPP(hAPP(c_Product__Type_OSigma(_u14030, _u14033), _u14032), _u14035))) | hBOOL(hAPP(hAPP(c_member(_u14030), skolem345(_u14035, _u14034, _u14033, _u14032, _u14031, _u14030)), _u14031)) )).
% 12.21/12.47 cnf(matrix-6227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14030, tc_HOL_Obool)), _u14031), _u14032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14030, _u14033), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14030, _u14033), _u14031), _u14034)), hAPP(hAPP(c_Product__Type_OSigma(_u14030, _u14033), _u14032), _u14035))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14033, tc_HOL_Obool)), hAPP(_u14034, skolem345(_u14035, _u14034, _u14033, _u14032, _u14031, _u14030))), hAPP(_u14035, skolem345(_u14035, _u14034, _u14033, _u14032, _u14031, _u14030)))) )).
% 12.21/12.47 cnf(matrix-6228, plain, ( hBOOL(hAPP(hAPP(c_member(_u14037), _u14038), c_Wellfounded_Oacc(_u14037, _u14039))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14037, _u14037)), hAPP(hAPP(c_Product__Type_OPair(_u14037, _u14037), skolem346(_u14039, _u14038, _u14037)), _u14038)), _u14039)) )).
% 12.21/12.47 cnf(matrix-6229, plain, ( hBOOL(hAPP(hAPP(c_member(_u14037), _u14038), c_Wellfounded_Oacc(_u14037, _u14039))) | ~hBOOL(hAPP(hAPP(c_member(_u14037), skolem346(_u14039, _u14038, _u14037)), c_Wellfounded_Oacc(_u14037, _u14039))) )).
% 12.21/12.47 cnf(matrix-6230, plain, ( hBOOL(hAPP(hAPP(c_member(_u14041), _u14042), c_Wellfounded_Oacc(_u14041, _u14043))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14041, _u14041)), hAPP(hAPP(c_Product__Type_OPair(_u14041, _u14041), skolem347(_u14043, _u14042, _u14041)), _u14042)), _u14043)) )).
% 12.21/12.47 cnf(matrix-6231, plain, ( hBOOL(hAPP(hAPP(c_member(_u14041), _u14042), c_Wellfounded_Oacc(_u14041, _u14043))) | ~hBOOL(hAPP(hAPP(c_member(_u14041), skolem347(_u14043, _u14042, _u14041)), c_Wellfounded_Oacc(_u14041, _u14043))) )).
% 12.21/12.47 cnf(matrix-6232, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14052), _u14054)) )).
% 12.21/12.47 cnf(matrix-6233, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14052), _u14056)) )).
% 12.21/12.47 cnf(matrix-6234, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | ( _u14056 != c_Orderings_Obot__class_Obot(tc_fun(_u14052, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6235, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | ~hBOOL(hAPP(hAPP(c_member(_u14052), _u14045), _u14054)) | hBOOL(hAPP(hAPP(c_member(_u14052), skolem348(_u14058, _u14056, _u14054, _u14052, _u14045)), _u14056)) )).
% 12.21/12.47 cnf(matrix-6236, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14052, tc_HOL_Obool), tc_fun(_u14052, tc_HOL_Obool)), _u14054), _u14056)), c_Wellfounded_Omax__ext(_u14052, _u14058))) | ~hBOOL(hAPP(hAPP(c_member(_u14052), _u14045), _u14054)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14052, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14052, _u14052), _u14045), skolem348(_u14058, _u14056, _u14054, _u14052, _u14045))), _u14058)) )).
% 12.21/12.47 cnf(matrix-6237, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14053, tc_HOL_Obool), tc_fun(_u14053, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14053, tc_HOL_Obool), tc_fun(_u14053, tc_HOL_Obool)), _u14055), _u14057)), c_Wellfounded_Omax__ext(_u14053, _u14059))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14055)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14057)) | ( _u14057 = c_Orderings_Obot__class_Obot(tc_fun(_u14053, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14053), skolem349(_u14059, _u14057, _u14055, _u14053)), _u14055)) )).
% 12.21/12.47 cnf(matrix-6238, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14053, tc_HOL_Obool), tc_fun(_u14053, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14053, tc_HOL_Obool), tc_fun(_u14053, tc_HOL_Obool)), _u14055), _u14057)), c_Wellfounded_Omax__ext(_u14053, _u14059))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14055)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14057)) | ( _u14057 = c_Orderings_Obot__class_Obot(tc_fun(_u14053, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14053), _u14046), _u14057)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14053, _u14053)), hAPP(hAPP(c_Product__Type_OPair(_u14053, _u14053), skolem349(_u14059, _u14057, _u14055, _u14053)), _u14046)), _u14059)) )).
% 12.21/12.47 cnf(matrix-6239, plain, ( ~c_Wellfounded_Owf(_u14061, _u14062) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14061, _u14061)), hAPP(hAPP(c_Product__Type_OPair(_u14061, _u14061), hAPP(_u14063, hAPP(c_Nat_OSuc, skolem350(_u14063, _u14062, _u14061)))), hAPP(_u14063, skolem350(_u14063, _u14062, _u14061)))), _u14062)) )).
% 12.21/12.47 cnf(matrix-6240, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14064, _u14065, _u14066, _u14067), _u14068), _u14069), _u14070) = hAPP(hAPP(_u14069, hAPP(c_Product__Type_Ofst(_u14065, _u14066), hAPP(_u14068, _u14070))), hAPP(c_Product__Type_Osnd(_u14065, _u14066), hAPP(_u14068, _u14070)))) )).
% 12.21/12.47 cnf(matrix-6241, plain, ( ~class_Groups_Ocomm__monoid__add(_u14072) | ~class_Orderings_Oord(_u14073) | ( _u14074 != _u14075) | ( _u14076 != _u14077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14078), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14074), _u14076)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14079), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14075), _u14077))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14073), _u14075), skolem351(_u14079, _u14078, _u14077, _u14076, _u14075, _u14074, _u14073, _u14072))) )).
% 12.21/12.47 cnf(matrix-6242, plain, ( ~class_Groups_Ocomm__monoid__add(_u14072) | ~class_Orderings_Oord(_u14073) | ( _u14074 != _u14075) | ( _u14076 != _u14077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14078), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14074), _u14076)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14079), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14075), _u14077))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14073), skolem351(_u14079, _u14078, _u14077, _u14076, _u14075, _u14074, _u14073, _u14072)), _u14077)) )).
% 12.21/12.47 cnf(matrix-6243, plain, ( ~class_Groups_Ocomm__monoid__add(_u14072) | ~class_Orderings_Oord(_u14073) | ( _u14074 != _u14075) | ( _u14076 != _u14077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14078), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14074), _u14076)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14073, _u14072), _u14079), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14073, _u14075), _u14077))) | ( hAPP(_u14078, skolem351(_u14079, _u14078, _u14077, _u14076, _u14075, _u14074, _u14073, _u14072)) != hAPP(_u14079, skolem351(_u14079, _u14078, _u14077, _u14076, _u14075, _u14074, _u14073, _u14072))) )).
% 12.21/12.47 cnf(matrix-6244, 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), _u14082), _u14084)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14082), _u14084)) )).
% 12.21/12.47 cnf(matrix-6245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14083), _u14085)) | 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), _u14083), _u14085)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.21/12.47 cnf(matrix-6246, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14086, _u14087, _u14086, _u14088), hAPP(c_Product__Type_OPair(_u14087, _u14086), _u14089)), _u14090) = hAPP(_u14090, _u14089)) )).
% 12.21/12.47 cnf(matrix-6247, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14091, _u14092, _u14093, tc_prod(_u14092, _u14093)), _u14094), c_Product__Type_OPair(_u14092, _u14093)) = _u14094) )).
% 12.21/12.47 cnf(matrix-6248, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14095, _u14096, _u14097, _u14098), hAPP(hAPP(c_Product__Type_Oscomp(_u14095, _u14099, _u14100, tc_prod(_u14096, _u14097)), _u14101), _u14102)), _u14103) = hAPP(hAPP(c_Product__Type_Oscomp(_u14095, _u14099, _u14100, _u14098), _u14101), hAPP(hAPP(c_COMBC(_u14099, tc_fun(_u14096, tc_fun(_u14097, _u14098)), tc_fun(_u14100, _u14098)), hAPP(hAPP(c_COMBB(tc_fun(_u14100, tc_prod(_u14096, _u14097)), tc_fun(tc_fun(_u14096, tc_fun(_u14097, _u14098)), tc_fun(_u14100, _u14098)), _u14099), c_Product__Type_Oscomp(_u14100, _u14096, _u14097, _u14098)), _u14102)), _u14103))) )).
% 12.21/12.47 cnf(matrix-6249, plain, ( ~c_Wellfounded_Owf(_u14104, _u14105) | c_Wellfounded_Owf(_u14104, c_Transitive__Closure_Otrancl(_u14104, _u14105)) )).
% 12.21/12.47 cnf(matrix-6250, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14106, _u14107, _u14108, _u14109), _u14110), _u14111), _u14112) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14107, _u14108, _u14109), _u14111), hAPP(_u14110, _u14112))) )).
% 12.21/12.47 cnf(matrix-6251, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14113, _u14114, _u14115, _u14116), _u14117), _u14118), _u14119) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14114, _u14115, _u14116), _u14118), hAPP(_u14117, _u14119))) )).
% 12.21/12.47 cnf(matrix-6252, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.21/12.47 cnf(matrix-6253, plain, ( ~c_Wellfounded_Oacyclic(_u14124, _u14126) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14124, _u14124)), hAPP(hAPP(c_Product__Type_OPair(_u14124, _u14124), _u14120), _u14120)), c_Transitive__Closure_Otrancl(_u14124, _u14126))) )).
% 12.21/12.47 cnf(matrix-6254, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14125, _u14125)), hAPP(hAPP(c_Product__Type_OPair(_u14125, _u14125), skolem352(_u14127, _u14125)), skolem352(_u14127, _u14125))), c_Transitive__Closure_Otrancl(_u14125, _u14127))) | c_Wellfounded_Oacyclic(_u14125, _u14127) )).
% 12.21/12.47 cnf(matrix-6255, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), hAPP(hAPP(c_Product__Type_OPair(_u14128, _u14128), _u14129), _u14130)), _u14131)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), hAPP(hAPP(c_Product__Type_OPair(_u14128, _u14128), _u14129), _u14130)), c_Transitive__Closure_Otrancl(_u14128, _u14131))) )).
% 12.21/12.47 cnf(matrix-6256, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14132, _u14132), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14132, _u14133)), hAPP(hAPP(c_Product__Type_OSigma(_u14132, _u14132), hAPP(c_Relation_OField(_u14132), _u14133)), hAPP(c_COMBK(tc_fun(_u14132, tc_HOL_Obool), _u14132), hAPP(c_Relation_OField(_u14132), _u14133))))) )).
% 12.21/12.47 cnf(matrix-6257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), _u14135), _u14136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14134, _u14134, _u14134), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14134, _u14135)), _u14136)), _u14135)), _u14136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14134, _u14135)), _u14136)) )).
% 12.21/12.47 cnf(matrix-6258, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14137, _u14137)), _u14138), _u14139)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14137, _u14137)), _u14138), c_Transitive__Closure_Otrancl(_u14137, _u14139))) )).
% 12.21/12.47 cnf(matrix-6259, plain, ( ( c_Transitive__Closure_Otrancl(_u14140, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14140, _u14140), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14140, _u14140), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6260, plain, ( ( hAPP(c_Relation_ODomain(_u14141, _u14141), c_Transitive__Closure_Otrancl(_u14141, _u14142)) = hAPP(c_Relation_ODomain(_u14141, _u14141), _u14142)) )).
% 12.21/12.47 cnf(matrix-6261, plain, ( ( hAPP(c_Relation_ORange(_u14143, _u14143), c_Transitive__Closure_Otrancl(_u14143, _u14144)) = hAPP(c_Relation_ORange(_u14143, _u14143), _u14144)) )).
% 12.21/12.47 cnf(matrix-6262, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14147, _u14147)), c_Transitive__Closure_Otrancl(_u14147, _u14149))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14147, _u14147)), _u14149)) )).
% 12.21/12.47 cnf(matrix-6263, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14148, _u14148)), _u14150)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14148, _u14148)), c_Transitive__Closure_Otrancl(_u14148, _u14150))) )).
% 12.21/12.47 cnf(matrix-6264, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14151, _u14151)), hAPP(hAPP(c_Product__Type_OPair(_u14151, _u14151), _u14152), _u14153)), c_Transitive__Closure_Otrancl(_u14151, _u14154))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14151, _u14151)), hAPP(hAPP(c_Product__Type_OPair(_u14151, _u14151), _u14153), _u14155)), c_Transitive__Closure_Otrancl(_u14151, _u14154))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14151, _u14151)), hAPP(hAPP(c_Product__Type_OPair(_u14151, _u14151), _u14152), _u14155)), c_Transitive__Closure_Otrancl(_u14151, _u14154))) )).
% 12.21/12.47 cnf(matrix-6265, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14156, _u14156)), hAPP(hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14157), _u14158)), c_Transitive__Closure_Otrancl(_u14156, _u14159))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14156, _u14156)), hAPP(hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14158), _u14160)), _u14159)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14156, _u14156)), hAPP(hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14157), _u14160)), c_Transitive__Closure_Otrancl(_u14156, _u14159))) )).
% 12.21/12.47 cnf(matrix-6266, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14162), _u14163)), _u14164)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14163), _u14165)), c_Transitive__Closure_Otrancl(_u14161, _u14164))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14162), _u14165)), c_Transitive__Closure_Otrancl(_u14161, _u14164))) )).
% 12.21/12.47 cnf(matrix-6267, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14166, _u14166)), hAPP(hAPP(c_Product__Type_OPair(_u14166, _u14166), _u14167), _u14168)), _u14169)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14166, _u14166)), hAPP(hAPP(c_Product__Type_OPair(_u14166, _u14166), _u14168), _u14170)), _u14169)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14166, _u14166)), hAPP(hAPP(c_Product__Type_OPair(_u14166, _u14166), _u14167), _u14170)), c_Transitive__Closure_Otrancl(_u14166, _u14169))) )).
% 12.21/12.47 cnf(matrix-6268, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14171, _u14171)), _u14172), c_Transitive__Closure_Otrancl(_u14171, _u14173))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14171, _u14171), tc_HOL_Obool)), _u14173), _u14174)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14171, _u14171)), _u14172), c_Transitive__Closure_Otrancl(_u14171, _u14174))) )).
% 12.21/12.47 cnf(matrix-6269, plain, ( ( c_Transitive__Closure_Otrancl(_u14175, _u14176) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14175, _u14175), tc_HOL_Obool)), _u14176), hAPP(hAPP(c_Relation_Orel__comp(_u14175, _u14175, _u14175), c_Transitive__Closure_Otrancl(_u14175, _u14176)), _u14176))) )).
% 12.21/12.47 cnf(matrix-6270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14177, _u14177), tc_HOL_Obool)), _u14178), hAPP(hAPP(c_Product__Type_OSigma(_u14177, _u14177), _u14179), hAPP(c_COMBK(tc_fun(_u14177, tc_HOL_Obool), _u14177), _u14179)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14177, _u14177), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14177, _u14178)), hAPP(hAPP(c_Product__Type_OSigma(_u14177, _u14177), _u14179), hAPP(c_COMBK(tc_fun(_u14177, tc_HOL_Obool), _u14177), _u14179)))) )).
% 12.21/12.47 cnf(matrix-6271, plain, ( ( _u14185 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14187, _u14189, _u14185, _u14191), _u14193) = hAPP(c_Product__Type_OPair(_u14187, _u14189), _u14193)) )).
% 12.21/12.47 cnf(matrix-6272, plain, ( ( _u14186 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14188, _u14190, _u14186, _u14192), _u14194) = hAPP(hAPP(c_Product__Type_Oscomp(_u14190, _u14188, _u14190, tc_prod(_u14188, _u14190)), hAPP(_u14192, _u14194)), c_Random_Oiterate(_u14188, _u14190, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14186), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u14192))) )).
% 12.21/12.47 cnf(matrix-6273, plain, ( ( c_Transitive__Closure_Otrancl(_u14195, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14195, _u14195)), hAPP(hAPP(c_Product__Type_OPair(_u14195, _u14195), _u14196), _u14197)), _u14198)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14195, _u14198)), hAPP(c_Set_OCollect(tc_prod(_u14195, _u14195)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14195, _u14195, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14195, tc_fun(_u14195, tc_HOL_Obool), tc_fun(_u14195, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14195, tc_HOL_Obool), tc_fun(_u14195, tc_HOL_Obool)), _u14195), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14195)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14195), c_fconj), hAPP(hAPP(c_COMBC(_u14195, tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14195, _u14195), tc_fun(tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool), tc_HOL_Obool), _u14195), c_member(tc_prod(_u14195, _u14195))), hAPP(hAPP(c_COMBC(_u14195, _u14195, tc_prod(_u14195, _u14195)), c_Product__Type_OPair(_u14195, _u14195)), _u14196))), c_Transitive__Closure_Ortrancl(_u14195, _u14198))))), hAPP(hAPP(c_COMBC(_u14195, tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14195, _u14195), tc_fun(tc_fun(tc_prod(_u14195, _u14195), tc_HOL_Obool), tc_HOL_Obool), _u14195), c_member(tc_prod(_u14195, _u14195))), hAPP(c_Product__Type_OPair(_u14195, _u14195), _u14197))), c_Transitive__Closure_Ortrancl(_u14195, _u14198))))))) )).
% 12.21/12.47 cnf(matrix-6274, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14199, _u14199)), _u14200), _u14201)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14199, _u14199)), _u14200), c_Transitive__Closure_Ortrancl(_u14199, _u14201))) )).
% 12.21/12.47 cnf(matrix-6275, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14202, _u14202)), hAPP(hAPP(c_Product__Type_OPair(_u14202, _u14202), _u14203), _u14203)), c_Transitive__Closure_Ortrancl(_u14202, _u14204))) )).
% 12.21/12.47 cnf(matrix-6276, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14205, _u14205)), hAPP(hAPP(c_Product__Type_OPair(_u14205, _u14205), _u14206), _u14207)), c_Transitive__Closure_Otrancl(_u14205, _u14208))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14205, _u14205)), hAPP(hAPP(c_Product__Type_OPair(_u14205, _u14205), _u14206), _u14207)), c_Transitive__Closure_Ortrancl(_u14205, _u14208))) )).
% 12.21/12.47 cnf(matrix-6277, plain, ( ( c_Transitive__Closure_Ortrancl(_u14209, c_Transitive__Closure_Otrancl(_u14209, _u14210)) = c_Transitive__Closure_Ortrancl(_u14209, _u14210)) )).
% 12.21/12.47 cnf(matrix-6278, plain, ( ( c_Transitive__Closure_Otrancl(_u14211, c_Transitive__Closure_Ortrancl(_u14211, _u14212)) = c_Transitive__Closure_Ortrancl(_u14211, _u14212)) )).
% 12.21/12.47 cnf(matrix-6279, plain, ( ( c_Transitive__Closure_Otrancl(_u14213, _u14214) = hAPP(hAPP(c_Relation_Orel__comp(_u14213, _u14213, _u14213), c_Transitive__Closure_Ortrancl(_u14213, _u14214)), _u14214)) )).
% 12.21/12.47 cnf(matrix-6280, plain, ( ( c_Transitive__Closure_Otrancl(_u14215, _u14216) = hAPP(hAPP(c_Relation_Orel__comp(_u14215, _u14215, _u14215), _u14216), c_Transitive__Closure_Ortrancl(_u14215, _u14216))) )).
% 12.21/12.47 cnf(matrix-6281, plain, ( ( hAPP(c_Relation_ODomain(_u14217, _u14217), c_Transitive__Closure_Ortrancl(_u14217, _u14218)) = c_Orderings_Otop__class_Otop(tc_fun(_u14217, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6282, plain, ( ( hAPP(c_Relation_ORange(_u14219, _u14219), c_Transitive__Closure_Ortrancl(_u14219, _u14220)) = c_Orderings_Otop__class_Otop(tc_fun(_u14219, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6283, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14221, _u14221)), _u14222), c_Transitive__Closure_Ortrancl(_u14221, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14221, _u14221), tc_HOL_Obool)), _u14223), _u14224)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14221, _u14221)), _u14222), c_Transitive__Closure_Ortrancl(_u14221, _u14223))) )).
% 12.21/12.47 cnf(matrix-6284, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14221, _u14221)), _u14222), c_Transitive__Closure_Ortrancl(_u14221, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14221, _u14221), tc_HOL_Obool)), _u14223), _u14224)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14221, _u14221)), _u14222), c_Transitive__Closure_Ortrancl(_u14221, _u14224))) )).
% 12.21/12.47 cnf(matrix-6285, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14225, _u14225, _u14225), _u14226), c_Transitive__Closure_Ortrancl(_u14225, _u14226)) = hAPP(hAPP(c_Relation_Orel__comp(_u14225, _u14225, _u14225), c_Transitive__Closure_Ortrancl(_u14225, _u14226)), _u14226)) )).
% 12.21/12.47 cnf(matrix-6286, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14227, _u14227, _u14227), c_Transitive__Closure_Ortrancl(_u14227, _u14228)), c_Transitive__Closure_Ortrancl(_u14227, _u14228)) = c_Transitive__Closure_Ortrancl(_u14227, _u14228)) )).
% 12.21/12.47 cnf(matrix-6287, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14229, _u14229), tc_HOL_Obool)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14229, _u14229), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14229, _u14230)), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) )).
% 12.21/12.47 cnf(matrix-6288, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14232, _u14232), tc_HOL_Obool)), _u14233), _u14234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14232, _u14232), tc_HOL_Obool)), _u14234), c_Transitive__Closure_Ortrancl(_u14232, _u14233))) | ( c_Transitive__Closure_Ortrancl(_u14232, _u14234) = c_Transitive__Closure_Ortrancl(_u14232, _u14233)) )).
% 12.21/12.47 cnf(matrix-6289, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14235, _u14235), tc_HOL_Obool)), _u14236), _u14237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14235, _u14235), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14235, _u14236)), c_Transitive__Closure_Ortrancl(_u14235, _u14237))) )).
% 12.21/12.47 cnf(matrix-6290, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14238, _u14239)), c_Transitive__Closure_Ortrancl(_u14238, _u14240))), c_Transitive__Closure_Ortrancl(_u14238, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14239), _u14240)))) )).
% 12.21/12.47 cnf(matrix-6291, plain, ( ( c_Transitive__Closure_Ortrancl(_u14241, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14241, _u14242)), c_Transitive__Closure_Ortrancl(_u14241, _u14243))) = c_Transitive__Closure_Ortrancl(_u14241, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), _u14242), _u14243))) )).
% 12.21/12.47 cnf(matrix-6292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14244, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14244, _u14244, _u14245), _u14246)), _u14246)) | ( hAPP(c_Relation_OImage(_u14244, _u14244, c_Transitive__Closure_Ortrancl(_u14244, _u14245)), _u14246) = _u14246) )).
% 12.21/12.47 cnf(matrix-6293, plain, ( ( c_Transitive__Closure_Ortrancl(_u14247, c_Transitive__Closure_Ortrancl(_u14247, _u14248)) = c_Transitive__Closure_Ortrancl(_u14247, _u14248)) )).
% 12.21/12.47 cnf(matrix-6294, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14249, _u14249)), hAPP(hAPP(c_Product__Type_OPair(_u14249, _u14249), _u14250), _u14251)), c_Transitive__Closure_Ortrancl(_u14249, _u14252))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14249, _u14249)), hAPP(hAPP(c_Product__Type_OPair(_u14249, _u14249), _u14251), _u14253)), c_Transitive__Closure_Ortrancl(_u14249, _u14252))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14249, _u14249)), hAPP(hAPP(c_Product__Type_OPair(_u14249, _u14249), _u14250), _u14253)), c_Transitive__Closure_Ortrancl(_u14249, _u14252))) )).
% 12.21/12.47 cnf(matrix-6295, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14254, _u14254)), hAPP(hAPP(c_Product__Type_OPair(_u14254, _u14254), _u14255), _u14256)), c_Transitive__Closure_Ortrancl(_u14254, _u14257))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14254, _u14254)), hAPP(hAPP(c_Product__Type_OPair(_u14254, _u14254), _u14256), _u14258)), _u14257)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14254, _u14254)), hAPP(hAPP(c_Product__Type_OPair(_u14254, _u14254), _u14255), _u14258)), c_Transitive__Closure_Ortrancl(_u14254, _u14257))) )).
% 12.21/12.47 cnf(matrix-6296, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14259, _u14259)), hAPP(hAPP(c_Product__Type_OPair(_u14259, _u14259), _u14260), _u14261)), _u14262)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14259, _u14259)), hAPP(hAPP(c_Product__Type_OPair(_u14259, _u14259), _u14261), _u14263)), c_Transitive__Closure_Ortrancl(_u14259, _u14262))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14259, _u14259)), hAPP(hAPP(c_Product__Type_OPair(_u14259, _u14259), _u14260), _u14263)), c_Transitive__Closure_Ortrancl(_u14259, _u14262))) )).
% 12.21/12.47 cnf(matrix-6297, plain, ( c_Relation_Orefl__on(_u14264, c_Orderings_Otop__class_Otop(tc_fun(_u14264, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14264, _u14265)) )).
% 12.21/12.47 cnf(matrix-6298, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14268)), c_Transitive__Closure_Ortrancl(_u14266, _u14269))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14268), _u14270)), c_Transitive__Closure_Otrancl(_u14266, _u14269))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14270)), c_Transitive__Closure_Otrancl(_u14266, _u14269))) )).
% 12.21/12.47 cnf(matrix-6299, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14271, _u14271)), hAPP(hAPP(c_Product__Type_OPair(_u14271, _u14271), _u14272), _u14273)), c_Transitive__Closure_Otrancl(_u14271, _u14274))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14271, _u14271)), hAPP(hAPP(c_Product__Type_OPair(_u14271, _u14271), _u14273), _u14275)), c_Transitive__Closure_Ortrancl(_u14271, _u14274))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14271, _u14271)), hAPP(hAPP(c_Product__Type_OPair(_u14271, _u14271), _u14272), _u14275)), c_Transitive__Closure_Otrancl(_u14271, _u14274))) )).
% 12.21/12.47 cnf(matrix-6300, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14276, _u14276)), hAPP(hAPP(c_Product__Type_OPair(_u14276, _u14276), _u14277), _u14278)), c_Transitive__Closure_Ortrancl(_u14276, _u14279))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14276, _u14276)), hAPP(hAPP(c_Product__Type_OPair(_u14276, _u14276), _u14278), _u14280)), _u14279)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14276, _u14276)), hAPP(hAPP(c_Product__Type_OPair(_u14276, _u14276), _u14277), _u14280)), c_Transitive__Closure_Otrancl(_u14276, _u14279))) )).
% 12.21/12.47 cnf(matrix-6301, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14281, _u14281)), hAPP(hAPP(c_Product__Type_OPair(_u14281, _u14281), _u14282), _u14283)), c_Transitive__Closure_Ortrancl(_u14281, _u14284))) | ( _u14282 = _u14283) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14281, _u14281)), hAPP(hAPP(c_Product__Type_OPair(_u14281, _u14281), _u14282), _u14283)), c_Transitive__Closure_Otrancl(_u14281, _u14284))) )).
% 12.21/12.47 cnf(matrix-6302, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14285, _u14285)), hAPP(hAPP(c_Product__Type_OPair(_u14285, _u14285), _u14286), _u14287)), _u14288)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14285, _u14285)), hAPP(hAPP(c_Product__Type_OPair(_u14285, _u14285), _u14287), _u14289)), c_Transitive__Closure_Ortrancl(_u14285, _u14288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14285, _u14285)), hAPP(hAPP(c_Product__Type_OPair(_u14285, _u14285), _u14286), _u14289)), c_Transitive__Closure_Otrancl(_u14285, _u14288))) )).
% 12.21/12.47 cnf(matrix-6303, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14294, _u14294)), hAPP(hAPP(c_Product__Type_OPair(_u14294, _u14294), _u14296), _u14298)), c_Transitive__Closure_Ortrancl(_u14294, _u14300))) | ( _u14296 = _u14298) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14294, _u14294)), hAPP(hAPP(c_Product__Type_OPair(_u14294, _u14294), _u14296), _u14298)), c_Transitive__Closure_Otrancl(_u14294, _u14300))) )).
% 12.21/12.47 cnf(matrix-6304, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14297), _u14299)), c_Transitive__Closure_Ortrancl(_u14295, _u14301))) | ( _u14297 != _u14299) )).
% 12.21/12.47 cnf(matrix-6305, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14297), _u14299)), c_Transitive__Closure_Ortrancl(_u14295, _u14301))) | ( _u14297 = _u14299) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14297), _u14299)), c_Transitive__Closure_Otrancl(_u14295, _u14301))) )).
% 12.21/12.47 cnf(matrix-6306, plain, ( hBOOL(hAPP(hAPP(c_member(_u14302), _u14303), hAPP(c_Relation_ODomain(_u14302, _u14302), _u14304))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14302, _u14302)), hAPP(hAPP(c_Product__Type_OPair(_u14302, _u14302), _u14303), _u14305)), c_Transitive__Closure_Ortrancl(_u14302, _u14304))) | ( _u14303 = _u14305) )).
% 12.21/12.47 cnf(matrix-6307, plain, ( hBOOL(hAPP(hAPP(c_member(_u14302), _u14303), hAPP(c_Relation_ODomain(_u14302, _u14302), _u14304))) | ( _u14303 != _u14305) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14302, _u14302)), hAPP(hAPP(c_Product__Type_OPair(_u14302, _u14302), _u14303), _u14305)), c_Transitive__Closure_Ortrancl(_u14302, _u14304))) )).
% 12.21/12.47 cnf(matrix-6308, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14306), _u14307), c_Wellfounded_Oacc(_u14306, _u14308))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14306, _u14306)), hAPP(hAPP(c_Product__Type_OPair(_u14306, _u14306), _u14309), _u14307)), c_Transitive__Closure_Ortrancl(_u14306, _u14308))) | hBOOL(hAPP(hAPP(c_member(_u14306), _u14309), c_Wellfounded_Oacc(_u14306, _u14308))) )).
% 12.21/12.47 cnf(matrix-6309, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14310, _u14310)), hAPP(hAPP(c_Product__Type_OPair(_u14310, _u14310), _u14311), _u14312)), c_Transitive__Closure_Ortrancl(_u14310, _u14313))) | ~hBOOL(hAPP(hAPP(c_member(_u14310), _u14312), c_Wellfounded_Oacc(_u14310, _u14313))) | hBOOL(hAPP(hAPP(c_member(_u14310), _u14311), c_Wellfounded_Oacc(_u14310, _u14313))) )).
% 12.21/12.47 cnf(matrix-6310, plain, ( ~c_Wellfounded_Owf(_u14318, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14318, _u14318)), hAPP(hAPP(c_Product__Type_OPair(_u14318, _u14318), _u14320), _u14322)), _u14324)) | c_Wellfounded_Owf(_u14318, _u14324) )).
% 12.21/12.47 cnf(matrix-6311, plain, ( ~c_Wellfounded_Owf(_u14318, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14318, _u14318)), hAPP(hAPP(c_Product__Type_OPair(_u14318, _u14318), _u14320), _u14322)), _u14324)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14318, _u14318)), hAPP(hAPP(c_Product__Type_OPair(_u14318, _u14318), _u14322), _u14320)), c_Transitive__Closure_Ortrancl(_u14318, _u14324))) )).
% 12.21/12.47 cnf(matrix-6312, plain, ( ~c_Wellfounded_Owf(_u14319, _u14325) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14319, _u14319)), hAPP(hAPP(c_Product__Type_OPair(_u14319, _u14319), _u14323), _u14321)), c_Transitive__Closure_Ortrancl(_u14319, _u14325))) | c_Wellfounded_Owf(_u14319, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14319, _u14319)), hAPP(hAPP(c_Product__Type_OPair(_u14319, _u14319), _u14321), _u14323)), _u14325)) )).
% 12.21/12.47 cnf(matrix-6313, plain, ( ~c_Wellfounded_Oacyclic(_u14330, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14332), _u14334)), _u14336)) | c_Wellfounded_Oacyclic(_u14330, _u14336) )).
% 12.21/12.47 cnf(matrix-6314, plain, ( ~c_Wellfounded_Oacyclic(_u14330, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14332), _u14334)), _u14336)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14334), _u14332)), c_Transitive__Closure_Ortrancl(_u14330, _u14336))) )).
% 12.21/12.47 cnf(matrix-6315, plain, ( ~c_Wellfounded_Oacyclic(_u14331, _u14337) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14335), _u14333)), c_Transitive__Closure_Ortrancl(_u14331, _u14337))) | c_Wellfounded_Oacyclic(_u14331, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14333), _u14335)), _u14337)) )).
% 12.21/12.47 cnf(matrix-6316, 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), _u14340), _u14342)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14340), _u14342)) )).
% 12.21/12.47 cnf(matrix-6317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14341), _u14343)) | 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), _u14341), _u14343)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.21/12.47 cnf(matrix-6318, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14344, _u14344)), hAPP(hAPP(c_Product__Type_OPair(_u14344, _u14344), _u14345), _u14346)), c_Transitive__Closure_Ortrancl(_u14344, _u14347))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14344, _u14344), tc_HOL_Obool)), _u14347), hAPP(hAPP(c_Product__Type_OSigma(_u14344, _u14344), _u14348), hAPP(c_COMBK(tc_fun(_u14344, tc_HOL_Obool), _u14344), _u14348)))) | ( _u14345 = _u14346) | hBOOL(hAPP(hAPP(c_member(_u14344), _u14345), _u14348)) )).
% 12.21/12.47 cnf(matrix-6319, plain, ( ( c_Random_Olog(_u14351, _u14353) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14351), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.21/12.47 cnf(matrix-6320, plain, ( ( c_Random_Olog(_u14351, _u14353) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14353), _u14351)) )).
% 12.21/12.47 cnf(matrix-6321, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14352), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14354), _u14352)) | ( c_Random_Olog(_u14352, _u14354) = 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(_u14352, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u14354), _u14352)))) )).
% 12.21/12.47 cnf(matrix-6322, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14358), _u14360)) | ( c_Random_Ominus__shift(_u14362, _u14358, _u14360) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14362), _u14358)), _u14360)) )).
% 12.21/12.47 cnf(matrix-6323, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14359), _u14361)) | ( c_Random_Ominus__shift(_u14363, _u14359, _u14361) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14359), _u14361)) )).
% 12.21/12.47 cnf(matrix-6324, plain, ( ( _u14366 != _u14368) | ( c_Random_Oinc__shift(_u14366, _u14368) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.47 cnf(matrix-6325, plain, ( ( _u14367 = _u14369) | ( c_Random_Oinc__shift(_u14367, _u14369) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14369), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.21/12.47 cnf(matrix-6326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u14370)) | 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(_u14370), _u14371))), _u14370)) )).
% 12.21/12.47 cnf(matrix-6327, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14372, _u14372), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14372, _u14372), _u14373)), c_Transitive__Closure_Ortrancl(_u14372, _u14373)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14372, _u14372), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14372, _u14372)), hAPP(hAPP(c_Product__Type_OPair(_u14372, _u14372), _u14374), _u14374)), c_Transitive__Closure_Otrancl(_u14372, _u14373))) )).
% 12.21/12.47 cnf(matrix-6328, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), hAPP(_u14377, hAPP(c_Nat_OSuc, skolem353(_u14380, _u14379, _u14378, _u14377, _u14376)))), hAPP(_u14377, skolem353(_u14380, _u14379, _u14378, _u14377, _u14376)))), c_Transitive__Closure_Ortrancl(_u14376, _u14378))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), hAPP(_u14377, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14379), _u14380))), hAPP(_u14377, _u14379))), c_Transitive__Closure_Ortrancl(_u14376, _u14378))) )).
% 12.21/12.47 cnf(matrix-6329, plain, ( ~c_Wellfounded_Oacyclic(_u14383, hAPP(c_Relation_Oconverse(_u14383, _u14383), _u14385)) | c_Wellfounded_Oacyclic(_u14383, _u14385) )).
% 12.21/12.47 cnf(matrix-6330, plain, ( ~c_Wellfounded_Oacyclic(_u14384, _u14386) | c_Wellfounded_Oacyclic(_u14384, hAPP(c_Relation_Oconverse(_u14384, _u14384), _u14386)) )).
% 12.21/12.47 cnf(matrix-6331, plain, ( ( hAPP(c_Relation_Oconverse(_u14387, _u14388), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14389, tc_fun(tc_prod(_u14387, _u14388), tc_HOL_Obool)), _u14390), _u14391)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14389, tc_fun(tc_prod(_u14388, _u14387), tc_HOL_Obool)), _u14390), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14387, _u14388), tc_HOL_Obool), tc_fun(tc_prod(_u14388, _u14387), tc_HOL_Obool), _u14389), c_Relation_Oconverse(_u14387, _u14388)), _u14391))) )).
% 12.21/12.47 cnf(matrix-6332, plain, ( ( hAPP(c_Relation_Oconverse(_u14392, _u14393), hAPP(hAPP(c_Relation_Orel__comp(_u14392, _u14394, _u14393), _u14395), _u14396)) = hAPP(hAPP(c_Relation_Orel__comp(_u14393, _u14394, _u14392), hAPP(c_Relation_Oconverse(_u14394, _u14393), _u14396)), hAPP(c_Relation_Oconverse(_u14392, _u14394), _u14395))) )).
% 12.21/12.47 cnf(matrix-6333, plain, ( ( hAPP(c_Relation_Oconverse(_u14397, _u14398), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14397, _u14398), tc_HOL_Obool)), _u14399), _u14400)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14398, _u14397), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14397, _u14398), _u14399)), hAPP(c_Relation_Oconverse(_u14397, _u14398), _u14400))) )).
% 12.21/12.47 cnf(matrix-6334, plain, ( ( hAPP(c_Relation_Oconverse(_u14401, _u14401), c_Relation_OId__on(_u14401, _u14402)) = c_Relation_OId__on(_u14401, _u14402)) )).
% 12.21/12.47 cnf(matrix-6335, plain, ( ( hAPP(c_Relation_Oconverse(_u14403, _u14403), hAPP(hAPP(c_Relation_Oinv__image(_u14404, _u14403), _u14405), _u14406)) = hAPP(hAPP(c_Relation_Oinv__image(_u14404, _u14403), hAPP(c_Relation_Oconverse(_u14404, _u14404), _u14405)), _u14406)) )).
% 12.21/12.47 cnf(matrix-6336, plain, ( ( hAPP(c_Relation_Oconverse(_u14407, _u14408), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14407, _u14408), tc_HOL_Obool)), _u14409), _u14410)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14408, _u14407), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14407, _u14408), _u14409)), hAPP(c_Relation_Oconverse(_u14407, _u14408), _u14410))) )).
% 12.21/12.47 cnf(matrix-6337, plain, ( ( hAPP(c_Relation_Oconverse(_u14411, _u14412), hAPP(c_Relation_Oconverse(_u14412, _u14411), _u14413)) = _u14413) )).
% 12.21/12.47 cnf(matrix-6338, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14417, _u14419)), hAPP(c_Relation_Oconverse(_u14419, _u14417), _u14421))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14419, _u14417)), _u14421)) )).
% 12.21/12.47 cnf(matrix-6339, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14420, _u14418)), _u14422)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14418, _u14420)), hAPP(c_Relation_Oconverse(_u14420, _u14418), _u14422))) )).
% 12.21/12.47 cnf(matrix-6340, plain, ( ( hAPP(c_Relation_OField(_u14423), hAPP(c_Relation_Oconverse(_u14423, _u14423), _u14424)) = hAPP(c_Relation_OField(_u14423), _u14424)) )).
% 12.21/12.47 cnf(matrix-6341, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14430, _u14432)), hAPP(hAPP(c_Product__Type_OPair(_u14430, _u14432), _u14434), _u14436)), hAPP(c_Relation_Oconverse(_u14432, _u14430), _u14438))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14432, _u14430)), hAPP(hAPP(c_Product__Type_OPair(_u14432, _u14430), _u14436), _u14434)), _u14438)) )).
% 12.21/12.47 cnf(matrix-6342, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14433, _u14431)), hAPP(hAPP(c_Product__Type_OPair(_u14433, _u14431), _u14437), _u14435)), _u14439)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14431, _u14433)), hAPP(hAPP(c_Product__Type_OPair(_u14431, _u14433), _u14435), _u14437)), hAPP(c_Relation_Oconverse(_u14433, _u14431), _u14439))) )).
% 12.21/12.47 cnf(matrix-6343, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14440, _u14441)), hAPP(hAPP(c_Product__Type_OPair(_u14440, _u14441), _u14442), _u14443)), _u14444)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14441, _u14440)), hAPP(hAPP(c_Product__Type_OPair(_u14441, _u14440), _u14443), _u14442)), hAPP(c_Relation_Oconverse(_u14440, _u14441), _u14444))) )).
% 12.21/12.47 cnf(matrix-6344, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14445, _u14446)), hAPP(hAPP(c_Product__Type_OPair(_u14445, _u14446), _u14447), _u14448)), hAPP(c_Relation_Oconverse(_u14446, _u14445), _u14449))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14446, _u14445)), hAPP(hAPP(c_Product__Type_OPair(_u14446, _u14445), _u14448), _u14447)), _u14449)) )).
% 12.21/12.47 cnf(matrix-6345, plain, ( ~c_Relation_Orefl__on(_u14453, _u14455, hAPP(c_Relation_Oconverse(_u14453, _u14453), _u14457)) | c_Relation_Orefl__on(_u14453, _u14455, _u14457) )).
% 12.21/12.47 cnf(matrix-6346, plain, ( ~c_Relation_Orefl__on(_u14454, _u14456, _u14458) | c_Relation_Orefl__on(_u14454, _u14456, hAPP(c_Relation_Oconverse(_u14454, _u14454), _u14458)) )).
% 12.21/12.47 cnf(matrix-6347, plain, ( ( hAPP(c_Relation_Oconverse(_u14459, _u14460), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14461, tc_fun(tc_prod(_u14459, _u14460), tc_HOL_Obool)), _u14462), _u14463)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14461, tc_fun(tc_prod(_u14460, _u14459), tc_HOL_Obool)), _u14462), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14459, _u14460), tc_HOL_Obool), tc_fun(tc_prod(_u14460, _u14459), tc_HOL_Obool), _u14461), c_Relation_Oconverse(_u14459, _u14460)), _u14463))) )).
% 12.21/12.47 cnf(matrix-6348, plain, ( ( c_Transitive__Closure_Otrancl(_u14464, hAPP(c_Relation_Oconverse(_u14464, _u14464), _u14465)) = hAPP(c_Relation_Oconverse(_u14464, _u14464), c_Transitive__Closure_Otrancl(_u14464, _u14465))) )).
% 12.21/12.47 cnf(matrix-6349, plain, ( ( c_Transitive__Closure_Ortrancl(_u14466, hAPP(c_Relation_Oconverse(_u14466, _u14466), _u14467)) = hAPP(c_Relation_Oconverse(_u14466, _u14466), c_Transitive__Closure_Ortrancl(_u14466, _u14467))) )).
% 12.21/12.47 cnf(matrix-6350, plain, ( ~c_Wellfounded_Owf(_u14468, hAPP(c_Relation_Oconverse(_u14468, _u14468), _u14469)) | c_Wellfounded_Owf(_u14468, hAPP(c_Relation_Oconverse(_u14468, _u14468), c_Transitive__Closure_Otrancl(_u14468, _u14469))) )).
% 12.21/12.47 cnf(matrix-6351, plain, ( ~c_Equiv__Relations_Oequiv(_u14470, _u14471, _u14472) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14470, _u14470, _u14470), hAPP(c_Relation_Oconverse(_u14470, _u14470), _u14472)), _u14472) = _u14472) )).
% 12.21/12.47 cnf(matrix-6352, plain, ( ( hAPP(c_Relation_ORange(_u14473, _u14474), hAPP(c_Relation_Oconverse(_u14474, _u14473), _u14475)) = hAPP(c_Relation_ODomain(_u14474, _u14473), _u14475)) )).
% 12.21/12.47 cnf(matrix-6353, plain, ( ( hAPP(c_Relation_ODomain(_u14476, _u14477), hAPP(c_Relation_Oconverse(_u14477, _u14476), _u14478)) = hAPP(c_Relation_ORange(_u14477, _u14476), _u14478)) )).
% 12.21/12.47 cnf(matrix-6354, plain, ( ( hAPP(c_Relation_ORange(_u14479, _u14480), _u14481) = hAPP(c_Relation_ODomain(_u14480, _u14479), hAPP(c_Relation_Oconverse(_u14479, _u14480), _u14481))) )).
% 12.21/12.47 cnf(matrix-6355, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14482, _u14482)), hAPP(hAPP(c_Product__Type_OPair(_u14482, _u14482), _u14483), _u14484)), c_Transitive__Closure_Ortrancl(_u14482, _u14485))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14482, _u14482)), hAPP(hAPP(c_Product__Type_OPair(_u14482, _u14482), _u14484), _u14483)), c_Transitive__Closure_Ortrancl(_u14482, hAPP(c_Relation_Oconverse(_u14482, _u14482), _u14485)))) )).
% 12.21/12.47 cnf(matrix-6356, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14487), _u14488)), c_Transitive__Closure_Ortrancl(_u14486, hAPP(c_Relation_Oconverse(_u14486, _u14486), _u14489)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14488), _u14487)), c_Transitive__Closure_Ortrancl(_u14486, _u14489))) )).
% 12.21/12.47 cnf(matrix-6357, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14490, _u14490)), hAPP(hAPP(c_Product__Type_OPair(_u14490, _u14490), _u14491), _u14492)), hAPP(c_Relation_Oconverse(_u14490, _u14490), c_Transitive__Closure_Otrancl(_u14490, _u14493)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14490, _u14490)), hAPP(hAPP(c_Product__Type_OPair(_u14490, _u14490), _u14491), _u14492)), c_Transitive__Closure_Otrancl(_u14490, hAPP(c_Relation_Oconverse(_u14490, _u14490), _u14493)))) )).
% 12.21/12.47 cnf(matrix-6358, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14494, _u14494)), hAPP(hAPP(c_Product__Type_OPair(_u14494, _u14494), _u14495), _u14496)), c_Transitive__Closure_Otrancl(_u14494, hAPP(c_Relation_Oconverse(_u14494, _u14494), _u14497)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14494, _u14494)), hAPP(hAPP(c_Product__Type_OPair(_u14494, _u14494), _u14495), _u14496)), hAPP(c_Relation_Oconverse(_u14494, _u14494), c_Transitive__Closure_Otrancl(_u14494, _u14497)))) )).
% 12.21/12.47 cnf(matrix-6359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14503, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14505, _u14503, _u14507), _u14509)), _u14511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14505, tc_HOL_Obool)), _u14509), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14505, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14503, _u14505, hAPP(c_Relation_Oconverse(_u14505, _u14503), _u14507)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14503, tc_HOL_Obool)), _u14511))))) )).
% 12.21/12.47 cnf(matrix-6360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14506, tc_HOL_Obool)), _u14510), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14506, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14504, _u14506, hAPP(c_Relation_Oconverse(_u14506, _u14504), _u14508)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14504, tc_HOL_Obool)), _u14512))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14504, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14506, _u14504, _u14508), _u14510)), _u14512)) )).
% 12.21/12.47 cnf(matrix-6361, plain, ( ~c_Relation_Orefl__on(_u14513, _u14514, _u14515) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14513, _u14513), tc_HOL_Obool)), _u14515), hAPP(hAPP(c_Relation_Orel__comp(_u14513, _u14513, _u14513), hAPP(c_Relation_Oconverse(_u14513, _u14513), _u14515)), _u14515))) )).
% 12.21/12.47 cnf(matrix-6362, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14516, _u14516, _u14516), hAPP(c_Relation_Oconverse(_u14516, _u14516), _u14517)), _u14517) != _u14517) | ( hAPP(c_Relation_ODomain(_u14516, _u14516), _u14517) != _u14518) | c_Equiv__Relations_Oequiv(_u14516, _u14518, _u14517) )).
% 12.21/12.47 cnf(matrix-6363, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14519, _u14519)), _u14520)) | ~c_Wellfounded_Oacyclic(_u14519, _u14520) | c_Wellfounded_Owf(_u14519, hAPP(c_Relation_Oconverse(_u14519, _u14519), _u14520)) )).
% 12.21/12.47 cnf(matrix-6364, plain, ( ( hAPP(c_Relation_Oconverse(_u14521, _u14522), _u14523) = hAPP(c_Set_OCollect(tc_prod(_u14522, _u14521)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14522, _u14521, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14522, tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_fun(_u14521, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14521, tc_fun(tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_fun(_u14521, tc_HOL_Obool)), _u14522), c_COMBC(_u14521, tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14521, tc_prod(_u14521, _u14522)), tc_fun(_u14521, tc_fun(tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_HOL_Obool)), _u14522), hAPP(c_COMBB(tc_prod(_u14521, _u14522), tc_fun(tc_fun(tc_prod(_u14521, _u14522), tc_HOL_Obool), tc_HOL_Obool), _u14521), c_member(tc_prod(_u14521, _u14522)))), hAPP(c_COMBC(_u14521, _u14522, tc_prod(_u14521, _u14522)), c_Product__Type_OPair(_u14521, _u14522))))), _u14523)))) )).
% 12.21/12.47 cnf(matrix-6365, plain, ( ~c_Relation_Osingle__valued(_u14524, _u14525, hAPP(c_Relation_Oconverse(_u14525, _u14524), _u14526)) | ( _u14527 = c_Orderings_Obot__class_Obot(tc_fun(_u14528, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14525, _u14524, _u14526), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14528, tc_fun(_u14525, tc_HOL_Obool)), _u14527), _u14529)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14528, tc_fun(_u14524, tc_HOL_Obool)), _u14527), hAPP(hAPP(c_COMBB(tc_fun(_u14525, tc_HOL_Obool), tc_fun(_u14524, tc_HOL_Obool), _u14528), c_Relation_OImage(_u14525, _u14524, _u14526)), _u14529))) )).
% 12.21/12.47 cnf(matrix-6366, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14534, tc_fun(_u14534, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14534, tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_fun(_u14534, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14534, tc_fun(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_fun(_u14534, tc_HOL_Obool)), _u14534), c_COMBC(_u14534, tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14534, tc_prod(_u14534, _u14534)), tc_fun(_u14534, tc_fun(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_HOL_Obool)), _u14534), hAPP(c_COMBB(tc_prod(_u14534, _u14534), tc_fun(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool), tc_HOL_Obool), _u14534), c_member(tc_prod(_u14534, _u14534)))), c_Product__Type_OPair(_u14534, _u14534)))), _u14536)), c_fequal), _u14538), _u14540)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14534, _u14534)), hAPP(hAPP(c_Product__Type_OPair(_u14534, _u14534), _u14538), _u14540)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14534, _u14534), tc_HOL_Obool)), _u14536), c_Relation_OId(_u14534)))) )).
% 12.21/12.47 cnf(matrix-6367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14535, _u14535)), hAPP(hAPP(c_Product__Type_OPair(_u14535, _u14535), _u14539), _u14541)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool)), _u14537), c_Relation_OId(_u14535)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14535, tc_fun(_u14535, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14535, tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_fun(_u14535, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14535, tc_fun(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_fun(_u14535, tc_HOL_Obool)), _u14535), c_COMBC(_u14535, tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14535, tc_prod(_u14535, _u14535)), tc_fun(_u14535, tc_fun(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_HOL_Obool)), _u14535), hAPP(c_COMBB(tc_prod(_u14535, _u14535), tc_fun(tc_fun(tc_prod(_u14535, _u14535), tc_HOL_Obool), tc_HOL_Obool), _u14535), c_member(tc_prod(_u14535, _u14535)))), c_Product__Type_OPair(_u14535, _u14535)))), _u14537)), c_fequal), _u14539), _u14541)) )).
% 12.21/12.47 cnf(matrix-6368, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14542, _u14542)), hAPP(hAPP(c_Product__Type_OPair(_u14542, _u14542), _u14543), _u14543)), c_Relation_OId(_u14542))) )).
% 12.21/12.47 cnf(matrix-6369, plain, ( ( hAPP(c_Relation_Oconverse(_u14544, _u14544), c_Relation_OId(_u14544)) = c_Relation_OId(_u14544)) )).
% 12.21/12.47 cnf(matrix-6370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14545, _u14546), tc_HOL_Obool)), _u14547), _u14548)) | ~c_Relation_Osingle__valued(_u14545, _u14546, _u14548) | c_Relation_Osingle__valued(_u14545, _u14546, _u14547) )).
% 12.21/12.47 cnf(matrix-6371, plain, ( ~c_Relation_Osingle__valued(_u14549, _u14550, _u14551) | ~c_Relation_Osingle__valued(_u14550, _u14552, _u14553) | c_Relation_Osingle__valued(_u14549, _u14552, hAPP(hAPP(c_Relation_Orel__comp(_u14549, _u14550, _u14552), _u14551), _u14553)) )).
% 12.21/12.47 cnf(matrix-6372, plain, ( c_Relation_Osingle__valued(_u14554, _u14554, c_Relation_OId(_u14554)) )).
% 12.21/12.47 cnf(matrix-6373, plain, ( ( hAPP(c_Relation_OImage(_u14555, _u14555, c_Relation_OId(_u14555)), _u14556) = _u14556) )).
% 12.21/12.47 cnf(matrix-6374, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14557, _u14557, _u14558), c_Relation_OId(_u14557)), _u14559) = _u14559) )).
% 12.21/12.47 cnf(matrix-6375, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14560, _u14561, _u14561), _u14562), c_Relation_OId(_u14561)) = _u14562) )).
% 12.21/12.47 cnf(matrix-6376, plain, ( c_Relation_Osingle__valued(_u14563, _u14563, c_Relation_OId__on(_u14563, _u14564)) )).
% 12.21/12.47 cnf(matrix-6377, plain, ( ( _u14570 = _u14572) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14570), _u14572)), c_Relation_OId(_u14568))) )).
% 12.21/12.47 cnf(matrix-6378, plain, ( ( _u14571 != _u14573) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14569, _u14569)), hAPP(hAPP(c_Product__Type_OPair(_u14569, _u14569), _u14571), _u14573)), c_Relation_OId(_u14569))) )).
% 12.21/12.47 cnf(matrix-6379, plain, ( ( hAPP(c_Relation_ODomain(_u14574, _u14574), c_Relation_OId(_u14574)) = c_Orderings_Otop__class_Otop(tc_fun(_u14574, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6380, plain, ( ( c_Transitive__Closure_Ortrancl(_u14575, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14575, _u14575), tc_HOL_Obool))) = c_Relation_OId(_u14575)) )).
% 12.21/12.47 cnf(matrix-6381, plain, ( ( hAPP(c_Relation_ORange(_u14576, _u14576), c_Relation_OId(_u14576)) = c_Orderings_Otop__class_Otop(tc_fun(_u14576, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6382, plain, ( ( c_Transitive__Closure_Ortrancl(_u14577, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14577, _u14577), tc_HOL_Obool)), _u14578), c_Relation_OId(_u14577))) = c_Transitive__Closure_Ortrancl(_u14577, _u14578)) )).
% 12.21/12.47 cnf(matrix-6383, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14579, _u14579), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14579, _u14580)), c_Relation_OId(_u14579)) = c_Transitive__Closure_Ortrancl(_u14579, _u14580)) )).
% 12.21/12.47 cnf(matrix-6384, plain, ( c_Relation_Orefl__on(_u14581, c_Orderings_Otop__class_Otop(tc_fun(_u14581, tc_HOL_Obool)), c_Relation_OId(_u14581)) )).
% 12.21/12.47 cnf(matrix-6385, plain, ( ( c_Transitive__Closure_Ortrancl(_u14582, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14582, _u14582), tc_HOL_Obool)), _u14583), c_Relation_OId(_u14582))) = c_Transitive__Closure_Ortrancl(_u14582, _u14583)) )).
% 12.21/12.47 cnf(matrix-6386, plain, ( ~c_Relation_Osingle__valued(_u14584, _u14585, _u14586) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14584, _u14585)), hAPP(hAPP(c_Product__Type_OPair(_u14584, _u14585), _u14587), _u14588)), _u14586)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14584, _u14585)), hAPP(hAPP(c_Product__Type_OPair(_u14584, _u14585), _u14587), _u14589)), _u14586)) | ( _u14588 = _u14589) )).
% 12.21/12.47 cnf(matrix-6387, plain, ( ~c_Relation_Osingle__valued(_u14599, _u14601, _u14603) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14601)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14601), _u14592), _u14591)), _u14603)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14601)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14601), _u14592), _u14590)), _u14603)) | ( _u14591 = _u14590) )).
% 12.21/12.47 cnf(matrix-6388, plain, ( c_Relation_Osingle__valued(_u14600, _u14602, _u14604) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14600, _u14602)), hAPP(hAPP(c_Product__Type_OPair(_u14600, _u14602), skolem354(_u14604, _u14602, _u14600)), skolem355(_u14604, _u14602, _u14600))), _u14604)) )).
% 12.21/12.47 cnf(matrix-6389, plain, ( c_Relation_Osingle__valued(_u14600, _u14602, _u14604) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14600, _u14602)), hAPP(hAPP(c_Product__Type_OPair(_u14600, _u14602), skolem354(_u14604, _u14602, _u14600)), skolem356(_u14604, _u14602, _u14600))), _u14604)) )).
% 12.21/12.47 cnf(matrix-6390, plain, ( c_Relation_Osingle__valued(_u14600, _u14602, _u14604) | ( skolem355(_u14604, _u14602, _u14600) != skolem356(_u14604, _u14602, _u14600)) )).
% 12.21/12.47 cnf(matrix-6391, 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)))) )).
% 12.21/12.47 cnf(matrix-6392, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14605, _u14605), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14605, _u14606)), c_Relation_OId(_u14605)) = c_Transitive__Closure_Ortrancl(_u14605, _u14606)) )).
% 12.21/12.47 cnf(matrix-6393, plain, ( ( c_Transitive__Closure_Otrancl(_u14607, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14607, _u14607), tc_HOL_Obool)), _u14608), c_Relation_OId(_u14607))) = c_Transitive__Closure_Ortrancl(_u14607, _u14608)) )).
% 12.21/12.47 cnf(matrix-6394, plain, ( ( c_Transitive__Closure_Ortrancl(_u14609, _u14610) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14609, _u14609), tc_HOL_Obool)), c_Relation_OId(_u14609)), hAPP(hAPP(c_Relation_Orel__comp(_u14609, _u14609, _u14609), c_Transitive__Closure_Ortrancl(_u14609, _u14610)), _u14610))) )).
% 12.21/12.47 cnf(matrix-6395, plain, ( c_Relation_Orefl__on(_u14611, c_Orderings_Otop__class_Otop(tc_fun(_u14611, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14611, _u14611), tc_HOL_Obool)), _u14612), c_Relation_OId(_u14611))) )).
% 12.21/12.47 cnf(matrix-6396, plain, ( ( c_Relation_OId(_u14613) = hAPP(c_Set_OCollect(tc_prod(_u14613, _u14613)), hAPP(hAPP(c_COMBB(tc_fun(_u14613, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14613, _u14613)), c_HOL_OEx(_u14613)), hAPP(hAPP(c_COMBC(tc_prod(_u14613, _u14613), tc_fun(_u14613, tc_prod(_u14613, _u14613)), tc_fun(_u14613, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14613, _u14613), tc_HOL_Obool), tc_fun(tc_fun(_u14613, tc_prod(_u14613, _u14613)), tc_fun(_u14613, tc_HOL_Obool)), tc_prod(_u14613, _u14613)), c_COMBB(tc_prod(_u14613, _u14613), tc_HOL_Obool, _u14613)), c_fequal)), hAPP(hAPP(c_COMBS(_u14613, _u14613, tc_prod(_u14613, _u14613)), c_Product__Type_OPair(_u14613, _u14613)), c_COMBI(_u14613)))))) )).
% 12.21/12.47 cnf(matrix-6397, plain, ( c_Relation_Oirrefl(_u14614, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14614, _u14614), tc_HOL_Obool)), _u14615), c_Relation_OId(_u14614))) )).
% 12.21/12.47 cnf(matrix-6398, plain, ( ~c_Relation_Osingle__valued(_u14616, _u14616, _u14617) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14616, _u14616)), hAPP(hAPP(c_Product__Type_OPair(_u14616, _u14616), _u14618), _u14619)), c_Transitive__Closure_Ortrancl(_u14616, _u14617))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14616, _u14616)), hAPP(hAPP(c_Product__Type_OPair(_u14616, _u14616), _u14618), _u14620)), c_Transitive__Closure_Ortrancl(_u14616, _u14617))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14616, _u14616)), hAPP(hAPP(c_Product__Type_OPair(_u14616, _u14616), _u14619), _u14620)), c_Transitive__Closure_Ortrancl(_u14616, _u14617))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14616, _u14616)), hAPP(hAPP(c_Product__Type_OPair(_u14616, _u14616), _u14620), _u14619)), c_Transitive__Closure_Ortrancl(_u14616, _u14617))) )).
% 12.21/12.47 cnf(matrix-6399, plain, ( ~c_Relation_Osingle__valued(_u14621, _u14622, hAPP(c_Relation_Oconverse(_u14622, _u14621), _u14623)) | ( hAPP(c_Relation_OImage(_u14622, _u14621, _u14623), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14622, tc_HOL_Obool)), _u14624), _u14625)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14621, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14622, _u14621, _u14623), _u14624)), hAPP(c_Relation_OImage(_u14622, _u14621, _u14623), _u14625))) )).
% 12.21/12.47 cnf(matrix-6400, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14626, _u14626), tc_HOL_Obool)), c_Relation_OId(_u14626)), _u14627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14626, _u14626), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14626, _u14626, _u14626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14626, _u14626), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14626, _u14628)), _u14627)), _u14628)), _u14627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14626, _u14626), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14626, _u14628)), _u14627)) )).
% 12.21/12.47 cnf(matrix-6401, plain, ( ~c_Relation_Ototal__on(_u14632, _u14634, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14632, _u14632), tc_HOL_Obool)), _u14636), c_Relation_OId(_u14632))) | c_Relation_Ototal__on(_u14632, _u14634, _u14636) )).
% 12.21/12.47 cnf(matrix-6402, plain, ( ~c_Relation_Ototal__on(_u14633, _u14635, _u14637) | c_Relation_Ototal__on(_u14633, _u14635, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14633, _u14633), tc_HOL_Obool)), _u14637), c_Relation_OId(_u14633))) )).
% 12.21/12.47 cnf(matrix-6403, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14638, _u14638)), _u14639), c_Transitive__Closure_Ortrancl(_u14638, _u14640))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14638, _u14638)), _u14639), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14638, _u14638), 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(_u14638, _u14638), tc_HOL_Obool), tc_fun(tc_prod(_u14638, _u14638), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14638, _u14638), tc_HOL_Obool)), _u14640)))) )).
% 12.21/12.47 cnf(matrix-6404, plain, ( ~c_Relation_Osingle__valued(_u14641, _u14641, _u14642) | c_Relation_Osingle__valued(_u14641, _u14641, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14641, _u14641), tc_HOL_Obool), _u14643), _u14642)) )).
% 12.21/12.47 cnf(matrix-6405, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14644, _u14645), tc_fun(_u14644, _u14645)), _u14646), c_Fun_Ocomp(_u14645, _u14645, _u14644, _u14647)) = c_Fun_Ocomp(_u14645, _u14645, _u14644, hAPP(hAPP(c_Nat_Ocompow(_u14645, _u14645), _u14646), _u14647))) )).
% 12.21/12.47 cnf(matrix-6406, plain, ( ~c_Wellfounded_Owf(_u14648, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14648, _u14648), tc_HOL_Obool), _u14649), _u14650)) | c_Wellfounded_Owf(_u14648, _u14650) )).
% 12.21/12.47 cnf(matrix-6407, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14651, _u14651), _u14652), hAPP(hAPP(c_Nat_Ocompow(_u14651, _u14651), _u14653), _u14654)) = hAPP(hAPP(c_Nat_Ocompow(_u14651, _u14651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14653), _u14652)), _u14654)) )).
% 12.21/12.47 cnf(matrix-6408, plain, ( ( hAPP(_u14655, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14656, _u14656), _u14657), _u14655), _u14658)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14656, _u14656), _u14657), _u14655), hAPP(_u14655, _u14658))) )).
% 12.21/12.47 cnf(matrix-6409, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14659, _u14659), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14660) = _u14660) )).
% 12.21/12.47 cnf(matrix-6410, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14661, _u14661, _u14661), _u14662), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14661, _u14661), tc_HOL_Obool), _u14663), _u14662)) = hAPP(hAPP(c_Relation_Orel__comp(_u14661, _u14661, _u14661), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14661, _u14661), tc_HOL_Obool), _u14663), _u14662)), _u14662)) )).
% 12.21/12.47 cnf(matrix-6411, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14664, _u14664)), _u14665), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14664, _u14664), tc_HOL_Obool), _u14666), _u14667))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14664, _u14664)), _u14665), c_Transitive__Closure_Ortrancl(_u14664, _u14667))) )).
% 12.21/12.47 cnf(matrix-6412, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14673, _u14673)), _u14675), c_Transitive__Closure_Ortrancl(_u14673, _u14677))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14673, _u14673)), _u14675), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14673, _u14673), tc_HOL_Obool), skolem357(_u14677, _u14675, _u14673)), _u14677))) )).
% 12.21/12.47 cnf(matrix-6413, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14674, _u14674)), _u14676), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14674, _u14674), tc_HOL_Obool), _u14669), _u14678))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14674, _u14674)), _u14676), c_Transitive__Closure_Ortrancl(_u14674, _u14678))) )).
% 12.21/12.47 cnf(matrix-6414, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14679, _u14679), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14680)), _u14681) = hAPP(hAPP(c_Relation_Orel__comp(_u14679, _u14679, _u14679), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14679, _u14679), tc_HOL_Obool), _u14680), _u14681)), _u14681)) )).
% 12.21/12.47 cnf(matrix-6415, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14682, _u14682), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14683), _u14684)), _u14685) = hAPP(hAPP(c_Relation_Orel__comp(_u14682, _u14682, _u14682), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14682, _u14682), tc_HOL_Obool), _u14683), _u14685)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14682, _u14682), tc_HOL_Obool), _u14684), _u14685))) )).
% 12.21/12.47 cnf(matrix-6416, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14686, _u14686), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14687) = c_Relation_OId(_u14686)) )).
% 12.21/12.47 cnf(matrix-6417, plain, ( c_Relation_Ototal__on(_u14688, c_Orderings_Obot__class_Obot(tc_fun(_u14688, tc_HOL_Obool)), _u14689) )).
% 12.21/12.47 cnf(matrix-6418, plain, ( ~c_Relation_Ototal__on(_u14693, _u14695, hAPP(c_Relation_Oconverse(_u14693, _u14693), _u14697)) | c_Relation_Ototal__on(_u14693, _u14695, _u14697) )).
% 12.21/12.47 cnf(matrix-6419, plain, ( ~c_Relation_Ototal__on(_u14694, _u14696, _u14698) | c_Relation_Ototal__on(_u14694, _u14696, hAPP(c_Relation_Oconverse(_u14694, _u14694), _u14698)) )).
% 12.21/12.47 cnf(matrix-6420, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14699, _u14699)), hAPP(hAPP(c_Product__Type_OPair(_u14699, _u14699), _u14700), _u14700)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14699, _u14699), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14701))) )).
% 12.21/12.47 cnf(matrix-6421, plain, ( ( _u14703 = _u14704) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14702, _u14702)), hAPP(hAPP(c_Product__Type_OPair(_u14702, _u14702), _u14703), _u14704)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14702, _u14702), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14705))) )).
% 12.21/12.47 cnf(matrix-6422, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14706)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14706), _u14707), _u14708)), _u14709)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14706)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14706), _u14708), _u14710)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14706, _u14706), tc_HOL_Obool), _u14711), _u14709))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14706)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14706), _u14707), _u14710)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14706, _u14706), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14711)), _u14709))) )).
% 12.21/12.47 cnf(matrix-6423, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14712, _u14712)), hAPP(hAPP(c_Product__Type_OPair(_u14712, _u14712), _u14713), _u14714)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14712, _u14712), tc_HOL_Obool), _u14715), _u14716))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14712, _u14712)), hAPP(hAPP(c_Product__Type_OPair(_u14712, _u14712), _u14714), _u14717)), _u14716)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14712, _u14712)), hAPP(hAPP(c_Product__Type_OPair(_u14712, _u14712), _u14713), _u14717)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14712, _u14712), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14715)), _u14716))) )).
% 12.21/12.47 cnf(matrix-6424, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14718, _u14718), hAPP(c_Nat_OSuc, _u14719)), _u14720) = hAPP(c_Fun_Ocomp(_u14718, _u14718, _u14718, _u14720), hAPP(hAPP(c_Nat_Ocompow(_u14718, _u14718), _u14719), _u14720))) )).
% 12.21/12.47 cnf(matrix-6425, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14721, _u14721), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14722), _u14723)), _u14724) = hAPP(c_Fun_Ocomp(_u14721, _u14721, _u14721, hAPP(hAPP(c_Nat_Ocompow(_u14721, _u14721), _u14722), _u14724)), hAPP(hAPP(c_Nat_Ocompow(_u14721, _u14721), _u14723), _u14724))) )).
% 12.21/12.47 cnf(matrix-6426, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14725, _u14725), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14726) = c_Fun_Oid(_u14725)) )).
% 12.21/12.47 cnf(matrix-6427, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), _u14734), c_Transitive__Closure_Otrancl(_u14732, _u14736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem358(_u14736, _u14734, _u14732))) )).
% 12.21/12.47 cnf(matrix-6428, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), _u14734), c_Transitive__Closure_Otrancl(_u14732, _u14736))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), _u14734), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14732, _u14732), tc_HOL_Obool), skolem358(_u14736, _u14734, _u14732)), _u14736))) )).
% 12.21/12.47 cnf(matrix-6429, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14728)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14733, _u14733)), _u14735), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14733, _u14733), tc_HOL_Obool), _u14728), _u14737))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14733, _u14733)), _u14735), c_Transitive__Closure_Otrancl(_u14733, _u14737))) )).
% 12.21/12.47 cnf(matrix-6430, plain, ( ~c_Relation_Ototal__on(_u14745, _u14747, _u14749) | ~hBOOL(hAPP(hAPP(c_member(_u14745), _u14739), _u14747)) | ~hBOOL(hAPP(hAPP(c_member(_u14745), _u14738), _u14747)) | ( _u14739 = _u14738) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14745, _u14745)), hAPP(hAPP(c_Product__Type_OPair(_u14745, _u14745), _u14739), _u14738)), _u14749)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14745, _u14745)), hAPP(hAPP(c_Product__Type_OPair(_u14745, _u14745), _u14738), _u14739)), _u14749)) )).
% 12.21/12.47 cnf(matrix-6431, plain, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | hBOOL(hAPP(hAPP(c_member(_u14746), skolem359(_u14750, _u14748, _u14746)), _u14748)) )).
% 12.21/12.47 cnf(matrix-6432, plain, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | hBOOL(hAPP(hAPP(c_member(_u14746), skolem360(_u14750, _u14748, _u14746)), _u14748)) )).
% 12.21/12.47 cnf(matrix-6433, plain, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | ( skolem359(_u14750, _u14748, _u14746) != skolem360(_u14750, _u14748, _u14746)) )).
% 12.21/12.47 cnf(matrix-6434, plain, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14746, _u14746)), hAPP(hAPP(c_Product__Type_OPair(_u14746, _u14746), skolem359(_u14750, _u14748, _u14746)), skolem360(_u14750, _u14748, _u14746))), _u14750)) )).
% 12.21/12.47 cnf(matrix-6435, plain, ( c_Relation_Ototal__on(_u14746, _u14748, _u14750) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14746, _u14746)), hAPP(hAPP(c_Product__Type_OPair(_u14746, _u14746), skolem360(_u14750, _u14748, _u14746)), skolem359(_u14750, _u14748, _u14746))), _u14750)) )).
% 12.21/12.47 cnf(matrix-6436, plain, ( ( c_Transitive__Closure_Ortrancl(_u14751, _u14752) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14751, _u14751), 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(_u14751, _u14751), tc_HOL_Obool), tc_fun(tc_prod(_u14751, _u14751), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14751, _u14751), tc_HOL_Obool)), _u14752))) )).
% 12.21/12.47 cnf(matrix-6437, plain, ( ( c_Nat_Ofunpow(_u14753) = c_Nat_Ocompow(_u14753, _u14753)) )).
% 12.21/12.47 cnf(matrix-6438, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14759 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14759 = hAPP(c_Nat_OSuc, skolem362(_u14760, _u14759, _u14758, _u14757, _u14756))) )).
% 12.21/12.47 cnf(matrix-6439, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14759 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), skolem361(_u14760, _u14759, _u14758, _u14757, _u14756))), _u14760)) )).
% 12.21/12.47 cnf(matrix-6440, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14759 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), skolem361(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), skolem362(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14760))) )).
% 12.21/12.47 cnf(matrix-6441, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14757 = _u14758) | ( _u14759 = hAPP(c_Nat_OSuc, skolem362(_u14760, _u14759, _u14758, _u14757, _u14756))) )).
% 12.21/12.47 cnf(matrix-6442, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14757 = _u14758) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), skolem361(_u14760, _u14759, _u14758, _u14757, _u14756))), _u14760)) )).
% 12.21/12.47 cnf(matrix-6443, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), _u14757), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), _u14759), _u14760))) | ( _u14757 = _u14758) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14756, _u14756)), hAPP(hAPP(c_Product__Type_OPair(_u14756, _u14756), skolem361(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14756, _u14756), tc_HOL_Obool), skolem362(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14760))) )).
% 12.21/12.47 cnf(matrix-6444, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14766 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14766 = hAPP(c_Nat_OSuc, skolem364(_u14767, _u14766, _u14765, _u14764, _u14763))) )).
% 12.21/12.47 cnf(matrix-6445, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14766 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), skolem363(_u14767, _u14766, _u14765, _u14764, _u14763))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), skolem364(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14767))) )).
% 12.21/12.47 cnf(matrix-6446, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14766 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), skolem363(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14765)), _u14767)) )).
% 12.21/12.47 cnf(matrix-6447, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14764 = _u14765) | ( _u14766 = hAPP(c_Nat_OSuc, skolem364(_u14767, _u14766, _u14765, _u14764, _u14763))) )).
% 12.21/12.47 cnf(matrix-6448, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14764 = _u14765) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), skolem363(_u14767, _u14766, _u14765, _u14764, _u14763))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), skolem364(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14767))) )).
% 12.21/12.47 cnf(matrix-6449, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), _u14764), _u14765)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14763, _u14763), tc_HOL_Obool), _u14766), _u14767))) | ( _u14764 = _u14765) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14763, _u14763)), hAPP(hAPP(c_Product__Type_OPair(_u14763, _u14763), skolem363(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14765)), _u14767)) )).
% 12.21/12.47 cnf(matrix-6450, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14769)), hAPP(hAPP(c_Product__Type_OPair(_u14769, _u14769), skolem365(_u14770, _u14769)), skolem365(_u14770, _u14769))), c_Transitive__Closure_Otrancl(_u14769, _u14770))) | c_Wellfounded_Oacyclic(_u14769, _u14770) )).
% 12.21/12.47 cnf(matrix-6451, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14773, _u14773), tc_HOL_Obool)), _u14776), _u14777)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, _u14776))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), skolem366(_u14777, _u14776, _u14775, _u14774, _u14773)), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, _u14776))) )).
% 12.21/12.47 cnf(matrix-6452, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14773, _u14773), tc_HOL_Obool)), _u14776), _u14777)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, _u14776))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), skolem367(_u14777, _u14776, _u14775, _u14774, _u14773)), skolem366(_u14777, _u14776, _u14775, _u14774, _u14773))), _u14777)) )).
% 12.21/12.47 cnf(matrix-6453, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14773, _u14773), tc_HOL_Obool)), _u14776), _u14777)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), _u14774), _u14775)), c_Transitive__Closure_Ortrancl(_u14773, _u14776))) | ( skolem367(_u14777, _u14776, _u14775, _u14774, _u14773) != skolem366(_u14777, _u14776, _u14775, _u14774, _u14773)) )).
% 12.21/12.47 cnf(matrix-6454, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14780, _u14780), tc_HOL_Obool)), _u14783), _u14784)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, _u14783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), skolem368(_u14784, _u14783, _u14782, _u14781, _u14780))), c_Transitive__Closure_Ortrancl(_u14780, _u14783))) )).
% 12.21/12.47 cnf(matrix-6455, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14780, _u14780), tc_HOL_Obool)), _u14783), _u14784)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, _u14783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), skolem368(_u14784, _u14783, _u14782, _u14781, _u14780)), skolem369(_u14784, _u14783, _u14782, _u14781, _u14780))), _u14784)) )).
% 12.21/12.47 cnf(matrix-6456, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14780, _u14780), tc_HOL_Obool)), _u14783), _u14784)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14780, _u14780)), hAPP(hAPP(c_Product__Type_OPair(_u14780, _u14780), _u14781), _u14782)), c_Transitive__Closure_Ortrancl(_u14780, _u14783))) | ( skolem368(_u14784, _u14783, _u14782, _u14781, _u14780) != skolem369(_u14784, _u14783, _u14782, _u14781, _u14780)) )).
% 12.21/12.47 cnf(matrix-6457, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_Product__Type_OPair(_u14786, _u14786), _u14787), _u14788)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14786, _u14786), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14789)), _u14790))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_Product__Type_OPair(_u14786, _u14786), _u14787), skolem370(_u14790, _u14789, _u14788, _u14787, _u14786))), _u14790)) )).
% 12.21/12.47 cnf(matrix-6458, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_Product__Type_OPair(_u14786, _u14786), _u14787), _u14788)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14786, _u14786), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14789)), _u14790))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_Product__Type_OPair(_u14786, _u14786), skolem370(_u14790, _u14789, _u14788, _u14787, _u14786)), _u14788)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14786, _u14786), tc_HOL_Obool), _u14789), _u14790))) )).
% 12.21/12.47 cnf(matrix-6459, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14795)), _u14796))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), skolem371(_u14796, _u14795, _u14794, _u14793, _u14792))), _u14796)) )).
% 12.21/12.47 cnf(matrix-6460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14795)), _u14796))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), skolem371(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) )).
% 12.21/12.47 cnf(matrix-6461, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14798, _u14798)), hAPP(hAPP(c_Product__Type_OPair(_u14798, _u14798), _u14799), _u14800)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14798, _u14798), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14801)), _u14802))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14798, _u14798)), hAPP(hAPP(c_Product__Type_OPair(_u14798, _u14798), _u14799), skolem372(_u14802, _u14801, _u14800, _u14799, _u14798))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14798, _u14798), tc_HOL_Obool), _u14801), _u14802))) )).
% 12.21/12.47 cnf(matrix-6462, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14798, _u14798)), hAPP(hAPP(c_Product__Type_OPair(_u14798, _u14798), _u14799), _u14800)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14798, _u14798), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14801)), _u14802))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14798, _u14798)), hAPP(hAPP(c_Product__Type_OPair(_u14798, _u14798), skolem372(_u14802, _u14801, _u14800, _u14799, _u14798)), _u14800)), _u14802)) )).
% 12.21/12.47 cnf(matrix-6463, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14804, _u14804)), hAPP(hAPP(c_Product__Type_OPair(_u14804, _u14804), _u14805), _u14806)), c_Transitive__Closure_Otrancl(_u14804, _u14807))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14804, _u14804)), hAPP(hAPP(c_Product__Type_OPair(_u14804, _u14804), _u14805), skolem373(_u14807, _u14806, _u14805, _u14804))), c_Transitive__Closure_Ortrancl(_u14804, _u14807))) )).
% 12.21/12.47 cnf(matrix-6464, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14804, _u14804)), hAPP(hAPP(c_Product__Type_OPair(_u14804, _u14804), _u14805), _u14806)), c_Transitive__Closure_Otrancl(_u14804, _u14807))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14804, _u14804)), hAPP(hAPP(c_Product__Type_OPair(_u14804, _u14804), skolem373(_u14807, _u14806, _u14805, _u14804)), _u14806)), _u14807)) )).
% 12.21/12.47 cnf(matrix-6465, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14809, _u14809)), hAPP(hAPP(c_Product__Type_OPair(_u14809, _u14809), _u14810), _u14811)), c_Transitive__Closure_Otrancl(_u14809, _u14812))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14809, _u14809)), hAPP(hAPP(c_Product__Type_OPair(_u14809, _u14809), _u14810), skolem374(_u14812, _u14811, _u14810, _u14809))), _u14812)) )).
% 12.21/12.47 cnf(matrix-6466, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14809, _u14809)), hAPP(hAPP(c_Product__Type_OPair(_u14809, _u14809), _u14810), _u14811)), c_Transitive__Closure_Otrancl(_u14809, _u14812))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14809, _u14809)), hAPP(hAPP(c_Product__Type_OPair(_u14809, _u14809), skolem374(_u14812, _u14811, _u14810, _u14809)), _u14811)), c_Transitive__Closure_Ortrancl(_u14809, _u14812))) )).
% 12.21/12.47 cnf(matrix-6467, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14814, _u14814)), _u14815), c_Relation_OId(_u14814))) | ( _u14815 = hAPP(hAPP(c_Product__Type_OPair(_u14814, _u14814), skolem375(_u14815, _u14814)), skolem375(_u14815, _u14814))) )).
% 12.21/12.47 cnf(matrix-6468, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem376(_u14821, _u14820, _u14819, _u14818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem377(_u14821, _u14820, _u14819, _u14818))) )).
% 12.21/12.47 cnf(matrix-6469, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem376(_u14821, _u14820, _u14819, _u14818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem377(_u14821, _u14820, _u14819, _u14818)), _u14819)) )).
% 12.21/12.47 cnf(matrix-6470, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem376(_u14821, _u14820, _u14819, _u14818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | ( hAPP(_u14820, skolem377(_u14821, _u14820, _u14819, _u14818)) = _u14821) )).
% 12.21/12.47 cnf(matrix-6471, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem377(_u14821, _u14820, _u14819, _u14818))) )).
% 12.21/12.47 cnf(matrix-6472, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem377(_u14821, _u14820, _u14819, _u14818)), _u14819)) )).
% 12.21/12.47 cnf(matrix-6473, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | ( hAPP(_u14820, skolem377(_u14821, _u14820, _u14819, _u14818)) = _u14821) )).
% 12.21/12.47 cnf(matrix-6474, 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(_u14820, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14820, skolem376(_u14821, _u14820, _u14819, _u14818))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14818), skolem377(_u14821, _u14820, _u14819, _u14818))) )).
% 12.21/12.47 cnf(matrix-6475, 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(_u14820, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14820, skolem376(_u14821, _u14820, _u14819, _u14818))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem377(_u14821, _u14820, _u14819, _u14818)), _u14819)) )).
% 12.21/12.47 cnf(matrix-6476, 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(_u14820, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem376(_u14821, _u14820, _u14819, _u14818)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14820, skolem376(_u14821, _u14820, _u14819, _u14818))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14818), _u14819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14820, _u14818)), _u14821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14821), hAPP(_u14820, _u14819))) | ( hAPP(_u14820, skolem377(_u14821, _u14820, _u14819, _u14818)) = _u14821) )).
% 12.21/12.47 cnf(matrix-6477, plain, ( ~class_Divides_Osemiring__div(_u14822) | ( _u14823 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14822), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14822), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u14822), _u14823), _u14824)), _u14824)), c_Divides_Odiv__class_Omod(_u14822, _u14823, _u14824))) )).
% 12.21/12.47 cnf(matrix-6478, plain, ( ~c_Wellfounded_Owf(_u14835, _u14837) | ~hBOOL(hAPP(hAPP(c_member(_u14835), _u14825), _u14828)) | hBOOL(hAPP(hAPP(c_member(_u14835), skolem378(_u14837, _u14835, _u14828)), _u14828)) )).
% 12.21/12.47 cnf(matrix-6479, plain, ( ~c_Wellfounded_Owf(_u14835, _u14837) | ~hBOOL(hAPP(hAPP(c_member(_u14835), _u14825), _u14828)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), _u14826), skolem378(_u14837, _u14835, _u14828))), _u14837)) | ~hBOOL(hAPP(hAPP(c_member(_u14835), _u14826), _u14828)) )).
% 12.21/12.47 cnf(matrix-6480, plain, ( c_Wellfounded_Owf(_u14836, _u14838) | hBOOL(hAPP(hAPP(c_member(_u14836), skolem380(_u14838, _u14836)), skolem379(_u14838, _u14836))) )).
% 12.21/12.47 cnf(matrix-6481, plain, ( c_Wellfounded_Owf(_u14836, _u14838) | ~hBOOL(hAPP(hAPP(c_member(_u14836), _u14831), skolem379(_u14838, _u14836))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14836, _u14836)), hAPP(hAPP(c_Product__Type_OPair(_u14836, _u14836), skolem381(_u14838, _u14836, _u14831)), _u14831)), _u14838)) )).
% 12.21/12.47 cnf(matrix-6482, plain, ( c_Wellfounded_Owf(_u14836, _u14838) | ~hBOOL(hAPP(hAPP(c_member(_u14836), _u14831), skolem379(_u14838, _u14836))) | hBOOL(hAPP(hAPP(c_member(_u14836), skolem381(_u14838, _u14836, _u14831)), skolem379(_u14838, _u14836))) )).
% 12.21/12.47 cnf(matrix-6483, 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)))), _u14840)) = 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)))), _u14841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem382(_u14841, _u14840))) )).
% 12.21/12.47 cnf(matrix-6484, 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)))), _u14840)) = 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)))), _u14841))) | hBOOL(hAPP(_u14840, skolem382(_u14841, _u14840))) | hBOOL(hAPP(_u14841, skolem382(_u14841, _u14840))) )).
% 12.21/12.47 cnf(matrix-6485, 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)))), _u14840)) = 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)))), _u14841))) | ~hBOOL(hAPP(_u14841, skolem382(_u14841, _u14840))) | ~hBOOL(hAPP(_u14840, skolem382(_u14841, _u14840))) )).
% 12.21/12.47 cnf(matrix-6486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), _u14844), _u14845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14844), hAPP(c_Set_OCollect(_u14843), _u14846))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14845), hAPP(c_Set_OCollect(_u14843), _u14847)))) | hBOOL(hAPP(hAPP(c_member(_u14843), skolem383(_u14847, _u14846, _u14845, _u14844, _u14843)), _u14844)) )).
% 12.21/12.47 cnf(matrix-6487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), _u14844), _u14845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14844), hAPP(c_Set_OCollect(_u14843), _u14846))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14845), hAPP(c_Set_OCollect(_u14843), _u14847)))) | hBOOL(hAPP(_u14846, skolem383(_u14847, _u14846, _u14845, _u14844, _u14843))) )).
% 12.21/12.47 cnf(matrix-6488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), _u14844), _u14845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14843, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14844), hAPP(c_Set_OCollect(_u14843), _u14846))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14843, tc_HOL_Obool)), _u14845), hAPP(c_Set_OCollect(_u14843), _u14847)))) | ~hBOOL(hAPP(_u14847, skolem383(_u14847, _u14846, _u14845, _u14844, _u14843))) )).
% 12.21/12.47 cnf(matrix-6489, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14849), _u14850), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u14849, tc_HOL_Obool), _u14851))) | hBOOL(hAPP(hAPP(c_member(_u14849), _u14850), skolem384(_u14851, _u14850, _u14849))) )).
% 12.21/12.47 cnf(matrix-6490, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14849), _u14850), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u14849, tc_HOL_Obool), _u14851))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u14849, tc_HOL_Obool)), skolem384(_u14851, _u14850, _u14849)), _u14851)) )).
% 12.21/12.47 cnf(matrix-6491, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14856)), _u14857), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14858, _u14856), _u14859), _u14860))) | ( _u14857 = hAPP(hAPP(c_Product__Type_OPair(_u14855, _u14856), skolem385(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855)), skolem387(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855))) )).
% 12.21/12.47 cnf(matrix-6492, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14856)), _u14857), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14858, _u14856), _u14859), _u14860))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14855, _u14858), skolem385(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855)), skolem386(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855))), _u14859)) )).
% 12.21/12.47 cnf(matrix-6493, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14856)), _u14857), hAPP(hAPP(c_Relation_Orel__comp(_u14855, _u14858, _u14856), _u14859), _u14860))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14856)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14856), skolem386(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855)), skolem387(_u14860, _u14859, _u14858, _u14857, _u14856, _u14855))), _u14860)) )).
% 12.21/12.47 cnf(matrix-6494, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14863, _u14864)), _u14865), hAPP(c_Relation_Oconverse(_u14864, _u14863), _u14866))) | ( _u14865 = hAPP(hAPP(c_Product__Type_OPair(_u14863, _u14864), skolem389(_u14866, _u14865, _u14864, _u14863)), skolem388(_u14866, _u14865, _u14864, _u14863))) )).
% 12.21/12.47 cnf(matrix-6495, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14863, _u14864)), _u14865), hAPP(c_Relation_Oconverse(_u14864, _u14863), _u14866))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14863)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14863), skolem388(_u14866, _u14865, _u14864, _u14863)), skolem389(_u14866, _u14865, _u14864, _u14863))), _u14866)) )).
% 12.21/12.47 cnf(matrix-6496, plain, ( ( c_Nitpick_Oplus__frac(_u14867, _u14868, _u14869) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u14867), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u14867), _u14868), hAPP(c_Nitpick_Odenom(_u14867), _u14869))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u14867), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u14867), tc_Int_Oint), c_Nitpick_Ofrac(_u14867)), 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(_u14867), _u14868))), 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(_u14867), _u14868))))), 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(_u14867), _u14869))), 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(_u14867), _u14869)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.21/12.47 cnf(matrix-6497, plain, ( ~class_Rings_Olinordered__semidom(_u14871) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14871), c_Groups_Ozero__class_Ozero(_u14871)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14872, _u14871), _u14874), _u14873))) | hBOOL(hAPP(hAPP(c_member(_u14872), skolem390(_u14874, _u14873, _u14872, _u14871)), _u14873)) )).
% 12.21/12.47 cnf(matrix-6498, plain, ( ~class_Rings_Olinordered__semidom(_u14871) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14871), c_Groups_Ozero__class_Ozero(_u14871)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14872, _u14871), _u14874), _u14873))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14871), c_Groups_Ozero__class_Ozero(_u14871)), hAPP(_u14874, skolem390(_u14874, _u14873, _u14872, _u14871)))) )).
% 12.21/12.47 cnf(matrix-6499, plain, ( ( c_Nitpick_Otimes__frac(_u14875, _u14876, _u14877) = hAPP(hAPP(c_Nitpick_Ofrac(_u14875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14875), _u14876)), hAPP(c_Nitpick_Onum(_u14875), _u14877))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u14875), _u14876)), hAPP(c_Nitpick_Odenom(_u14875), _u14877)))) )).
% 12.21/12.47 cnf(matrix-6500, plain, ( ~class_Rings_Oinverse(_u14878) | ~class_Rings_Oring__1(_u14878) | ( c_Nitpick_Oof__frac(_u14879, _u14878, _u14880) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u14878), hAPP(c_Int_Oring__1__class_Oof__int(_u14878), hAPP(c_Nitpick_Onum(_u14879), _u14880))), hAPP(c_Int_Oring__1__class_Oof__int(_u14878), hAPP(c_Nitpick_Odenom(_u14879), _u14880)))) )).
% 12.21/12.47 cnf(matrix-6501, plain, ( ( c_Nitpick_Oinverse__frac(_u14881, _u14882) = hAPP(hAPP(c_Nitpick_Ofrac(_u14881), hAPP(c_Nitpick_Odenom(_u14881), _u14882)), hAPP(c_Nitpick_Onum(_u14881), _u14882))) )).
% 12.21/12.47 cnf(matrix-6502, plain, ( ( c_Nitpick_Ouminus__frac(_u14883, _u14884) = c_Nitpick_OAbs__Frac(_u14883, 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(_u14883), _u14884))), hAPP(c_Nitpick_Odenom(_u14883), _u14884)))) )).
% 12.21/12.47 cnf(matrix-6503, plain, ( ~c_Nitpick_Oless__frac(_u14888, _u14890, _u14892) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14888), c_Nitpick_Oplus__frac(_u14888, _u14890, c_Nitpick_Ouminus__frac(_u14888, _u14892)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-6504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14889), c_Nitpick_Oplus__frac(_u14889, _u14891, c_Nitpick_Ouminus__frac(_u14889, _u14893)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u14889, _u14891, _u14893) )).
% 12.21/12.47 cnf(matrix-6505, plain, ( ~c_Nitpick_Oless__eq__frac(_u14897, _u14899, _u14901) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14897), c_Nitpick_Oplus__frac(_u14897, _u14899, c_Nitpick_Ouminus__frac(_u14897, _u14901)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-6506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14898), c_Nitpick_Oplus__frac(_u14898, _u14900, c_Nitpick_Ouminus__frac(_u14898, _u14902)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u14898, _u14900, _u14902) )).
% 12.21/12.47 cnf(matrix-6507, plain, ( ( c_Nitpick_Onum(_u14903) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14903, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14903))) )).
% 12.21/12.47 cnf(matrix-6508, plain, ( ( c_Nitpick_Odenom(_u14904) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14904, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14904))) )).
% 12.21/12.47 cnf(matrix-6509, plain, ( ( c_Product__Type_Ointernal__split(_u14905, _u14906, _u14907) = c_Product__Type_Oprod_Oprod__case(_u14905, _u14906, _u14907)) )).
% 12.21/12.47 cnf(matrix-6510, plain, ( ~class_Rings_Olinordered__semidom(_u14909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14909), c_Groups_Ozero__class_Ozero(_u14909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14910, _u14909), _u14912), _u14911))) | hBOOL(hAPP(hAPP(c_member(_u14910), skolem391(_u14912, _u14911, _u14910, _u14909)), _u14911)) )).
% 12.21/12.47 cnf(matrix-6511, plain, ( ~class_Rings_Olinordered__semidom(_u14909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14909), c_Groups_Ozero__class_Ozero(_u14909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14910, _u14909), _u14912), _u14911))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14909), c_Groups_Ozero__class_Ozero(_u14909)), hAPP(_u14912, skolem391(_u14912, _u14911, _u14910, _u14909)))) )).
% 12.21/12.47 cnf(matrix-6512, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u14913, _u14914, _u14915), _u14916), hAPP(hAPP(c_Product__Type_OPair(_u14913, _u14914), _u14917), _u14918)) = hAPP(hAPP(_u14916, _u14917), _u14918)) )).
% 12.21/12.47 cnf(matrix-6513, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6514, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem392(_u14921, _u14920)), hAPP(_u14920, skolem392(_u14921, _u14920)))) | 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)), _u14920)), _u14921)))) )).
% 12.21/12.47 cnf(matrix-6516, plain, ( ( c_List_Olenlex(_u14922, _u14923) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14922)), tc_List_Olist(_u14922)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14922), c_Wellfounded_Oless__than, c_List_Olex(_u14922, _u14923))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14922), tc_List_Olist(_u14922), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14922))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14922), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14922))), tc_List_Olist(_u14922)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14922))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14922)))), c_COMBI(tc_List_Olist(_u14922))))) )).
% 12.21/12.47 cnf(matrix-6517, plain, ( ( _u14925 != _u14926) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14924)), _u14925) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14924)), _u14926)) )).
% 12.21/12.47 cnf(matrix-6518, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14927), tc_List_Olist(_u14927))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14927), tc_List_Olist(_u14927)), _u14928), _u14929)), hAPP(c_List_Olexn(_u14927, _u14930), _u14931))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14927)), _u14928) = _u14931) )).
% 12.21/12.47 cnf(matrix-6519, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14927), tc_List_Olist(_u14927))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14927), tc_List_Olist(_u14927)), _u14928), _u14929)), hAPP(c_List_Olexn(_u14927, _u14930), _u14931))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14927)), _u14929) = _u14931) )).
% 12.21/12.47 cnf(matrix-6520, plain, ( ( c_List_Olenlex(_u14932, _u14933) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14932), tc_List_Olist(_u14932), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14932), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBS(tc_List_Olist(_u14932), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14932)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14932)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14932), tc_fun(tc_List_Olist(_u14932), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14932), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14932))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14932)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14932))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14932)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14932), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBS(tc_List_Olist(_u14932), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14932)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14932)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14932), tc_fun(tc_List_Olist(_u14932), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14932), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14932))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14932)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14932))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14932)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14932), tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14932), tc_HOL_Obool)), tc_List_Olist(_u14932)), c_COMBC(tc_List_Olist(_u14932), tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14932), tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932))), tc_fun(tc_List_Olist(_u14932), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14932)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14932)), c_member(tc_prod(tc_List_Olist(_u14932), tc_List_Olist(_u14932))))), c_Product__Type_OPair(tc_List_Olist(_u14932), tc_List_Olist(_u14932))))), c_List_Olex(_u14932, _u14933))))))) )).
% 12.21/12.47 cnf(matrix-6521, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14934)), c_List_Osublist(_u14934, _u14935, _u14936)) = 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(_u14934)), _u14935)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14936))))) )).
% 12.21/12.47 cnf(matrix-6522, plain, ( ( hAPP(c_List_Olexn(_u14937, _u14938), hAPP(c_Nat_OSuc, _u14939)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14937), tc_List_Olist(_u14937)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14937, tc_List_Olist(_u14937)), tc_prod(_u14937, tc_List_Olist(_u14937))), tc_prod(tc_List_Olist(_u14937), tc_List_Olist(_u14937)), c_Product__Type_Omap__pair(tc_prod(_u14937, tc_List_Olist(_u14937)), tc_List_Olist(_u14937), tc_prod(_u14937, tc_List_Olist(_u14937)), tc_List_Olist(_u14937), hAPP(c_Product__Type_Oprod_Oprod__case(_u14937, tc_List_Olist(_u14937), tc_List_Olist(_u14937)), c_List_Olist_OCons(_u14937)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14937, tc_List_Olist(_u14937), tc_List_Olist(_u14937)), c_List_Olist_OCons(_u14937)))), c_Wellfounded_Olex__prod(_u14937, tc_List_Olist(_u14937), _u14938, hAPP(c_List_Olexn(_u14937, _u14938), _u14939)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14937), tc_List_Olist(_u14937))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14937), tc_List_Olist(_u14937), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14937), tc_fun(tc_List_Olist(_u14937), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14937), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14937), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14937), tc_HOL_Obool)), tc_List_Olist(_u14937)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14937))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14937)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14937), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14937)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14937)))), hAPP(c_Nat_OSuc, _u14939))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14937), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14937)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14937)))), hAPP(c_Nat_OSuc, _u14939))))))) )).
% 12.21/12.47 cnf(matrix-6523, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14940)), _u14941)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14940)), _u14942))) | ( _u14941 != hAPP(hAPP(c_List_Olist_OCons(_u14940), _u14943), _u14942)) )).
% 12.21/12.47 cnf(matrix-6524, plain, ( ( _u14944 != hAPP(hAPP(c_List_Olist_OCons(_u14945), _u14946), _u14944)) )).
% 12.21/12.47 cnf(matrix-6525, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14947), _u14948), _u14949) != _u14949) )).
% 12.21/12.47 cnf(matrix-6526, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14957), _u14959) != hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14961), _u14963)) | ( _u14957 = _u14961) )).
% 12.21/12.47 cnf(matrix-6527, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14957), _u14959) != hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14961), _u14963)) | ( _u14959 = _u14963) )).
% 12.21/12.47 cnf(matrix-6528, plain, ( ( _u14958 != _u14962) | ( _u14960 != _u14964) | ( hAPP(hAPP(c_List_Olist_OCons(_u14956), _u14958), _u14960) = hAPP(hAPP(c_List_Olist_OCons(_u14956), _u14962), _u14964)) )).
% 12.21/12.47 cnf(matrix-6529, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), hAPP(hAPP(c_List_Olist_OCons(_u14965), _u14966), _u14967)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), _u14967)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-6530, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14976), _u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14980), _u14982))), c_List_Olex(_u14974, _u14984))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14974, _u14974)), hAPP(hAPP(c_Product__Type_OPair(_u14974, _u14974), _u14976), _u14980)), _u14984)) | ( _u14976 = _u14980) )).
% 12.21/12.47 cnf(matrix-6531, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14976), _u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14980), _u14982))), c_List_Olex(_u14974, _u14984))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14974, _u14974)), hAPP(hAPP(c_Product__Type_OPair(_u14974, _u14974), _u14976), _u14980)), _u14984)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), _u14978), _u14982)), c_List_Olex(_u14974, _u14984))) )).
% 12.21/12.47 cnf(matrix-6532, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14976), _u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14980), _u14982))), c_List_Olex(_u14974, _u14984))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14978) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14982)) | ( _u14976 = _u14980) )).
% 12.21/12.47 cnf(matrix-6533, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14976), _u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14974), _u14980), _u14982))), c_List_Olex(_u14974, _u14984))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14978) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14982)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14974), tc_List_Olist(_u14974))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14974), tc_List_Olist(_u14974)), _u14978), _u14982)), c_List_Olex(_u14974, _u14984))) )).
% 12.21/12.47 cnf(matrix-6534, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14975), tc_List_Olist(_u14975))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14975), tc_List_Olist(_u14975)), hAPP(hAPP(c_List_Olist_OCons(_u14975), _u14977), _u14979)), hAPP(hAPP(c_List_Olist_OCons(_u14975), _u14981), _u14983))), c_List_Olex(_u14975, _u14985))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14975, _u14975)), hAPP(hAPP(c_Product__Type_OPair(_u14975, _u14975), _u14977), _u14981)), _u14985)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14975)), _u14979) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14975)), _u14983)) )).
% 12.21/12.47 cnf(matrix-6535, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14975), tc_List_Olist(_u14975))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14975), tc_List_Olist(_u14975)), hAPP(hAPP(c_List_Olist_OCons(_u14975), _u14977), _u14979)), hAPP(hAPP(c_List_Olist_OCons(_u14975), _u14981), _u14983))), c_List_Olex(_u14975, _u14985))) | ( _u14977 != _u14981) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14975), tc_List_Olist(_u14975))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14975), tc_List_Olist(_u14975)), _u14979), _u14983)), c_List_Olex(_u14975, _u14985))) )).
% 12.21/12.47 cnf(matrix-6536, plain, ( ( c_List_Oset__Cons(_u14986, _u14987, _u14988) = hAPP(c_Set_OCollect(tc_List_Olist(_u14986)), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u14986)), c_HOL_OEx(_u14986)), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(_u14986, tc_HOL_Obool), tc_List_Olist(_u14986)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_HOL_Obool, _u14986), c_HOL_OEx(tc_List_Olist(_u14986)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), tc_fun(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), tc_List_Olist(_u14986)), c_COMBS(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14986, tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), tc_List_Olist(_u14986)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), _u14986), c_COMBS(tc_List_Olist(_u14986), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u14986)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14986), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14986)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_fun(tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), tc_fun(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool))), tc_List_Olist(_u14986)), c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), _u14986)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_List_Olist(_u14986)), c_COMBB(tc_List_Olist(_u14986), tc_HOL_Obool, tc_List_Olist(_u14986))), c_fequal))), c_List_Olist_OCons(_u14986)))))), hAPP(hAPP(c_COMBC(_u14986, tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), _u14986), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14986))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14986), c_fconj), hAPP(hAPP(c_COMBC(_u14986, tc_fun(_u14986, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14986)), _u14987)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u14986))), _u14988))))))) )).
% 12.21/12.47 cnf(matrix-6537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14993), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14995), _u14997))) | ( hAPP(c_Random_Opick(_u14995, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14995)), _u14997), _u14999)), _u14993) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u14995), _u14997)) )).
% 12.21/12.47 cnf(matrix-6538, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14994), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14996), _u14998))) | ( hAPP(c_Random_Opick(_u14996, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14996)), _u14998), _u15000)), _u14994) = hAPP(c_Random_Opick(_u14996, _u15000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14994), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14996), _u14998)))) )).
% 12.21/12.47 cnf(matrix-6539, plain, ( ( c_Random_Oselect__weight(_u15001, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15001)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15001), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15002)), _u15003)) = c_Random_Oselect__weight(_u15001, _u15003)) )).
% 12.21/12.47 cnf(matrix-6540, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15010), tc_List_Olist(_u15010))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15010), tc_List_Olist(_u15010)), hAPP(hAPP(c_List_Olist_OCons(_u15010), _u15012), _u15014)), hAPP(hAPP(c_List_Olist_OCons(_u15010), _u15016), _u15018))), c_List_Olexord(_u15010, _u15020))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15010, _u15010)), hAPP(hAPP(c_Product__Type_OPair(_u15010, _u15010), _u15012), _u15016)), _u15020)) | ( _u15012 = _u15016) )).
% 12.21/12.47 cnf(matrix-6541, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15010), tc_List_Olist(_u15010))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15010), tc_List_Olist(_u15010)), hAPP(hAPP(c_List_Olist_OCons(_u15010), _u15012), _u15014)), hAPP(hAPP(c_List_Olist_OCons(_u15010), _u15016), _u15018))), c_List_Olexord(_u15010, _u15020))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15010, _u15010)), hAPP(hAPP(c_Product__Type_OPair(_u15010, _u15010), _u15012), _u15016)), _u15020)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15010), tc_List_Olist(_u15010))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15010), tc_List_Olist(_u15010)), _u15014), _u15018)), c_List_Olexord(_u15010, _u15020))) )).
% 12.21/12.47 cnf(matrix-6542, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15011), tc_List_Olist(_u15011))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15011), tc_List_Olist(_u15011)), hAPP(hAPP(c_List_Olist_OCons(_u15011), _u15013), _u15015)), hAPP(hAPP(c_List_Olist_OCons(_u15011), _u15017), _u15019))), c_List_Olexord(_u15011, _u15021))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15011, _u15011)), hAPP(hAPP(c_Product__Type_OPair(_u15011, _u15011), _u15013), _u15017)), _u15021)) )).
% 12.21/12.47 cnf(matrix-6543, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15011), tc_List_Olist(_u15011))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15011), tc_List_Olist(_u15011)), hAPP(hAPP(c_List_Olist_OCons(_u15011), _u15013), _u15015)), hAPP(hAPP(c_List_Olist_OCons(_u15011), _u15017), _u15019))), c_List_Olexord(_u15011, _u15021))) | ( _u15013 != _u15017) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15011), tc_List_Olist(_u15011))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15011), tc_List_Olist(_u15011)), _u15015), _u15019)), c_List_Olexord(_u15011, _u15021))) )).
% 12.21/12.47 cnf(matrix-6544, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15026), tc_List_Olist(_u15026))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15026), tc_List_Olist(_u15026)), _u15028), _u15030)), c_List_Olex(_u15026, _u15032))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15026), tc_List_Olist(_u15026))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15026), tc_List_Olist(_u15026)), _u15028), _u15030)), c_List_Olexord(_u15026, _u15032))) )).
% 12.21/12.47 cnf(matrix-6545, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15026), tc_List_Olist(_u15026))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15026), tc_List_Olist(_u15026)), _u15028), _u15030)), c_List_Olex(_u15026, _u15032))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15026)), _u15028) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15026)), _u15030)) )).
% 12.21/12.47 cnf(matrix-6546, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15027), tc_List_Olist(_u15027))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15027), tc_List_Olist(_u15027)), _u15029), _u15031)), c_List_Olexord(_u15027, _u15033))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15027)), _u15029) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15027)), _u15031)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15027), tc_List_Olist(_u15027))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15027), tc_List_Olist(_u15027)), _u15029), _u15031)), c_List_Olex(_u15027, _u15033))) )).
% 12.21/12.47 cnf(matrix-6547, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15034, _u15034)), hAPP(hAPP(c_Product__Type_OPair(_u15034, _u15034), _u15035), _u15036)), c_Transitive__Closure_Ortrancl(_u15034, _u15037))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15034), tc_List_Olist(_u15034))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15034), tc_List_Olist(_u15034)), _u15038), _u15039)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15034), c_List_Olistrel1(_u15034, _u15037)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15034), tc_List_Olist(_u15034))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15034), tc_List_Olist(_u15034)), hAPP(hAPP(c_List_Olist_OCons(_u15034), _u15035), _u15038)), hAPP(hAPP(c_List_Olist_OCons(_u15034), _u15036), _u15039))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15034), c_List_Olistrel1(_u15034, _u15037)))) )).
% 12.21/12.47 cnf(matrix-6548, plain, ( ( c_List_Olist_Olist__size(_u15040, _u15041, hAPP(hAPP(c_List_Olist_OCons(_u15040), _u15042), _u15043)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u15041, _u15042)), c_List_Olist_Olist__size(_u15040, _u15041, _u15043))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-6549, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15044), _u15045), c_Wellfounded_Oacc(_u15044, _u15046))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15044)), _u15047), c_Wellfounded_Oacc(tc_List_Olist(_u15044), c_List_Olistrel1(_u15044, _u15046)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15044)), hAPP(hAPP(c_List_Olist_OCons(_u15044), _u15045), _u15047)), c_Wellfounded_Oacc(tc_List_Olist(_u15044), c_List_Olistrel1(_u15044, _u15046)))) )).
% 12.21/12.47 cnf(matrix-6550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15048, _u15048), tc_HOL_Obool)), _u15049), _u15050)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15048), tc_List_Olist(_u15048)), tc_HOL_Obool)), c_List_Olistrel1(_u15048, _u15049)), c_List_Olistrel1(_u15048, _u15050))) )).
% 12.21/12.47 cnf(matrix-6551, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15051), tc_List_Olist(_u15051)), tc_HOL_Obool)), c_List_Olistrel1(_u15051, c_Transitive__Closure_Ortrancl(_u15051, _u15052))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15051), c_List_Olistrel1(_u15051, _u15052)))) )).
% 12.21/12.47 cnf(matrix-6552, plain, ( ( c_List_Olistrel1(_u15053, hAPP(c_Relation_Oconverse(_u15053, _u15053), _u15054)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u15053), tc_List_Olist(_u15053)), c_List_Olistrel1(_u15053, _u15054))) )).
% 12.21/12.47 cnf(matrix-6553, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15055), tc_List_Olist(_u15055))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15055), tc_List_Olist(_u15055)), _u15056), _u15057)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15055), c_List_Olistrel1(_u15055, _u15058)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15055), tc_List_Olist(_u15055))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15055), tc_List_Olist(_u15055)), hAPP(hAPP(c_List_Olist_OCons(_u15055), _u15059), _u15056)), hAPP(hAPP(c_List_Olist_OCons(_u15055), _u15059), _u15057))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15055), c_List_Olistrel1(_u15055, _u15058)))) )).
% 12.21/12.47 cnf(matrix-6554, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), _u15061), _u15062)), c_List_Olistrel1(_u15060, _u15063))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15064), _u15061)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15064), _u15062))), c_List_Olistrel1(_u15060, _u15063))) )).
% 12.21/12.47 cnf(matrix-6555, 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)), _u15066), _u15067)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15065), c_List_Olistrel1(_u15065, _u15068)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15066) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15067)) )).
% 12.21/12.47 cnf(matrix-6556, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15069), tc_List_Olist(_u15069))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15069), tc_List_Olist(_u15069)), _u15070), _u15071)), c_List_Olistrel1(_u15069, _u15072))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15069)), _u15070) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15069)), _u15071)) )).
% 12.21/12.47 cnf(matrix-6557, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15077), tc_List_Olist(_u15077))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15077), tc_List_Olist(_u15077)), _u15079), _u15081)), c_List_Olistrel1(_u15077, hAPP(c_Relation_Oconverse(_u15077, _u15077), _u15083)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15077), tc_List_Olist(_u15077))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15077), tc_List_Olist(_u15077)), _u15079), _u15081)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15077), tc_List_Olist(_u15077)), c_List_Olistrel1(_u15077, _u15083)))) )).
% 12.21/12.47 cnf(matrix-6558, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15078), tc_List_Olist(_u15078))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15078), tc_List_Olist(_u15078)), _u15080), _u15082)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15078), tc_List_Olist(_u15078)), c_List_Olistrel1(_u15078, _u15084)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15078), tc_List_Olist(_u15078))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15078), tc_List_Olist(_u15078)), _u15080), _u15082)), c_List_Olistrel1(_u15078, hAPP(c_Relation_Oconverse(_u15078, _u15078), _u15084)))) )).
% 12.21/12.47 cnf(matrix-6559, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15085, _u15085)), hAPP(hAPP(c_Product__Type_OPair(_u15085, _u15085), _u15086), _u15087)), _u15088)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15085), tc_List_Olist(_u15085))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15085), tc_List_Olist(_u15085)), hAPP(hAPP(c_List_Olist_OCons(_u15085), _u15086), _u15089)), hAPP(hAPP(c_List_Olist_OCons(_u15085), _u15087), _u15089))), c_List_Olistrel1(_u15085, _u15088))) )).
% 12.21/12.47 cnf(matrix-6560, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15098), _u15100)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15102), _u15104))), c_List_Olistrel1(_u15096, _u15106))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15096, _u15096)), hAPP(hAPP(c_Product__Type_OPair(_u15096, _u15096), _u15098), _u15102)), _u15106)) | ( _u15098 = _u15102) )).
% 12.21/12.47 cnf(matrix-6561, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15098), _u15100)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15102), _u15104))), c_List_Olistrel1(_u15096, _u15106))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15096, _u15096)), hAPP(hAPP(c_Product__Type_OPair(_u15096, _u15096), _u15098), _u15102)), _u15106)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), _u15100), _u15104)), c_List_Olistrel1(_u15096, _u15106))) )).
% 12.21/12.47 cnf(matrix-6562, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15098), _u15100)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15102), _u15104))), c_List_Olistrel1(_u15096, _u15106))) | ( _u15100 = _u15104) | ( _u15098 = _u15102) )).
% 12.21/12.47 cnf(matrix-6563, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15098), _u15100)), hAPP(hAPP(c_List_Olist_OCons(_u15096), _u15102), _u15104))), c_List_Olistrel1(_u15096, _u15106))) | ( _u15100 = _u15104) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15096), tc_List_Olist(_u15096))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15096), tc_List_Olist(_u15096)), _u15100), _u15104)), c_List_Olistrel1(_u15096, _u15106))) )).
% 12.21/12.47 cnf(matrix-6564, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15097), tc_List_Olist(_u15097))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15097), tc_List_Olist(_u15097)), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15099), _u15101)), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15103), _u15105))), c_List_Olistrel1(_u15097, _u15107))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15097, _u15097)), hAPP(hAPP(c_Product__Type_OPair(_u15097, _u15097), _u15099), _u15103)), _u15107)) | ( _u15101 != _u15105) )).
% 12.21/12.47 cnf(matrix-6565, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15097), tc_List_Olist(_u15097))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15097), tc_List_Olist(_u15097)), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15099), _u15101)), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15103), _u15105))), c_List_Olistrel1(_u15097, _u15107))) | ( _u15099 != _u15103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15097), tc_List_Olist(_u15097))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15097), tc_List_Olist(_u15097)), _u15101), _u15105)), c_List_Olistrel1(_u15097, _u15107))) )).
% 12.21/12.47 cnf(matrix-6566, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15108), tc_List_Olist(_u15108), c_List_Olistrel(_u15108, _u15109)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15108)), hAPP(hAPP(c_List_Olist_OCons(_u15108), _u15110), _u15111)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15108), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15108, hAPP(c_Relation_OImage(_u15108, _u15108, _u15109), hAPP(hAPP(c_Set_Oinsert(_u15108), _u15110), c_Orderings_Obot__class_Obot(tc_fun(_u15108, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15108), tc_List_Olist(_u15108), c_List_Olistrel(_u15108, _u15109)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15108)), _u15111), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15108), tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-6567, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15113, _u15113)), hAPP(hAPP(c_Product__Type_OPair(_u15113, _u15113), skolem393(_u15115, _u15114, _u15113)), skolem393(_u15115, _u15114, _u15113))), _u15114)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15113), tc_List_Olist(_u15113))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15113), tc_List_Olist(_u15113)), _u15115), _u15115)), c_List_Olexord(_u15113, _u15114))) )).
% 12.21/12.47 cnf(matrix-6568, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15116), tc_List_Olist(_u15116))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15116), tc_List_Olist(_u15116)), _u15117), _u15117)), c_List_Olistrel(_u15116, c_Transitive__Closure_Ortrancl(_u15116, _u15118)))) )).
% 12.21/12.47 cnf(matrix-6569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15119, _u15119), tc_HOL_Obool)), _u15120), _u15121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15119), tc_List_Olist(_u15119)), tc_HOL_Obool)), c_List_Olistrel(_u15119, _u15120)), c_List_Olistrel(_u15119, _u15121))) )).
% 12.21/12.47 cnf(matrix-6570, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15122), tc_List_Olist(_u15122)), tc_HOL_Obool)), c_List_Olistrel(_u15122, _u15123)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15122), c_List_Olistrel1(_u15122, _u15123)))) )).
% 12.21/12.47 cnf(matrix-6571, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15124), tc_List_Olist(_u15124))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15124), tc_List_Olist(_u15124)), _u15125), _u15126)), c_List_Olistrel(_u15124, _u15127))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15124)), _u15125) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15124)), _u15126)) )).
% 12.21/12.47 cnf(matrix-6572, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15128), tc_List_Olist(_u15128))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15128), tc_List_Olist(_u15128)), _u15129), _u15130)), c_List_Olistrel(_u15128, c_Transitive__Closure_Ortrancl(_u15128, _u15131)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15128), tc_List_Olist(_u15128))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15128), tc_List_Olist(_u15128)), _u15130), _u15132)), c_List_Olistrel(_u15128, c_Transitive__Closure_Ortrancl(_u15128, _u15131)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15128), tc_List_Olist(_u15128))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15128), tc_List_Olist(_u15128)), _u15129), _u15132)), c_List_Olistrel(_u15128, c_Transitive__Closure_Ortrancl(_u15128, _u15131)))) )).
% 12.21/12.47 cnf(matrix-6573, plain, ( ( c_List_Olistrel(_u15133, c_Transitive__Closure_Ortrancl(_u15133, _u15134)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15133), c_List_Olistrel1(_u15133, _u15134))) )).
% 12.21/12.47 cnf(matrix-6574, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15135), tc_List_Olist(_u15135))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15135), tc_List_Olist(_u15135)), _u15136), _u15137)), c_List_Olistrel1(_u15135, _u15138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15135), tc_List_Olist(_u15135))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15135), tc_List_Olist(_u15135)), _u15136), _u15137)), c_List_Olistrel(_u15135, c_Transitive__Closure_Ortrancl(_u15135, _u15138)))) )).
% 12.21/12.47 cnf(matrix-6575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15139, _u15139), tc_HOL_Obool)), _u15140), _u15141)) | ~c_Relation_Orefl__on(_u15139, c_Orderings_Otop__class_Otop(tc_fun(_u15139, tc_HOL_Obool)), _u15141) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15139), tc_List_Olist(_u15139)), tc_HOL_Obool)), c_List_Olistrel1(_u15139, _u15140)), c_List_Olistrel(_u15139, _u15141))) )).
% 12.21/12.47 cnf(matrix-6576, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15142), tc_List_Olist(_u15142))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15142), tc_List_Olist(_u15142)), _u15143), _u15144)), c_List_Olistrel(_u15142, _u15145))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15142), tc_List_Olist(_u15142))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15142), tc_List_Olist(_u15142)), _u15143), _u15144)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15142), c_List_Olistrel1(_u15142, _u15145)))) )).
% 12.21/12.47 cnf(matrix-6577, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15146, _u15146)), hAPP(hAPP(c_Product__Type_OPair(_u15146, _u15146), _u15147), _u15148)), _u15149)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), _u15150), _u15151)), c_List_Olistrel(_u15146, _u15149))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15147), _u15150)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15148), _u15151))), c_List_Olistrel(_u15146, _u15149))) )).
% 12.21/12.47 cnf(matrix-6578, plain, ( ~c_List_Olistrelp(_u15156, hAPP(hAPP(c_COMBC(_u15156, tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_fun(_u15156, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15156, tc_fun(tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_fun(_u15156, tc_HOL_Obool)), _u15156), c_COMBC(_u15156, tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15156, tc_prod(_u15156, _u15156)), tc_fun(_u15156, tc_fun(tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_HOL_Obool)), _u15156), hAPP(c_COMBB(tc_prod(_u15156, _u15156), tc_fun(tc_fun(tc_prod(_u15156, _u15156), tc_HOL_Obool), tc_HOL_Obool), _u15156), c_member(tc_prod(_u15156, _u15156)))), c_Product__Type_OPair(_u15156, _u15156)))), _u15158), _u15160, _u15162) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15156), tc_List_Olist(_u15156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15156), tc_List_Olist(_u15156)), _u15160), _u15162)), c_List_Olistrel(_u15156, _u15158))) )).
% 12.21/12.47 cnf(matrix-6579, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15157), tc_List_Olist(_u15157))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15157), tc_List_Olist(_u15157)), _u15161), _u15163)), c_List_Olistrel(_u15157, _u15159))) | c_List_Olistrelp(_u15157, hAPP(hAPP(c_COMBC(_u15157, tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_fun(_u15157, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15157, tc_fun(tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_fun(_u15157, tc_HOL_Obool)), _u15157), c_COMBC(_u15157, tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15157, tc_prod(_u15157, _u15157)), tc_fun(_u15157, tc_fun(tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_HOL_Obool)), _u15157), hAPP(c_COMBB(tc_prod(_u15157, _u15157), tc_fun(tc_fun(tc_prod(_u15157, _u15157), tc_HOL_Obool), tc_HOL_Obool), _u15157), c_member(tc_prod(_u15157, _u15157)))), c_Product__Type_OPair(_u15157, _u15157)))), _u15159), _u15161, _u15163) )).
% 12.21/12.47 cnf(matrix-6580, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15166), tc_List_Olist(_u15166))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15166), tc_List_Olist(_u15166)), _u15167), hAPP(hAPP(c_List_Olist_OCons(_u15166), _u15168), _u15169))), c_List_Olistrel(_u15166, _u15170))) | ( _u15167 = hAPP(hAPP(c_List_Olist_OCons(_u15166), skolem394(_u15170, _u15169, _u15168, _u15167, _u15166)), skolem395(_u15170, _u15169, _u15168, _u15167, _u15166))) )).
% 12.21/12.47 cnf(matrix-6581, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15166), tc_List_Olist(_u15166))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15166), tc_List_Olist(_u15166)), _u15167), hAPP(hAPP(c_List_Olist_OCons(_u15166), _u15168), _u15169))), c_List_Olistrel(_u15166, _u15170))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15166)), hAPP(hAPP(c_Product__Type_OPair(_u15166, _u15166), skolem394(_u15170, _u15169, _u15168, _u15167, _u15166)), _u15168)), _u15170)) )).
% 12.21/12.47 cnf(matrix-6582, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15166), tc_List_Olist(_u15166))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15166), tc_List_Olist(_u15166)), _u15167), hAPP(hAPP(c_List_Olist_OCons(_u15166), _u15168), _u15169))), c_List_Olistrel(_u15166, _u15170))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15166), tc_List_Olist(_u15166))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15166), tc_List_Olist(_u15166)), skolem395(_u15170, _u15169, _u15168, _u15167, _u15166)), _u15169)), c_List_Olistrel(_u15166, _u15170))) )).
% 12.21/12.47 cnf(matrix-6583, plain, ( ~hBOOL(hAPP(hAPP(_u15171, _u15172), _u15173)) | ~c_List_Olistrelp(_u15174, _u15171, _u15175, _u15176) | c_List_Olistrelp(_u15174, _u15171, hAPP(hAPP(c_List_Olist_OCons(_u15174), _u15172), _u15175), hAPP(hAPP(c_List_Olist_OCons(_u15174), _u15173), _u15176)) )).
% 12.21/12.47 cnf(matrix-6584, plain, ( ~c_List_Olistrelp(_u15183, _u15185, hAPP(hAPP(c_List_Olist_OCons(_u15183), _u15187), _u15189), hAPP(hAPP(c_List_Olist_OCons(_u15183), _u15191), _u15193)) | hBOOL(hAPP(hAPP(_u15185, _u15187), _u15191)) )).
% 12.21/12.47 cnf(matrix-6585, plain, ( ~c_List_Olistrelp(_u15183, _u15185, hAPP(hAPP(c_List_Olist_OCons(_u15183), _u15187), _u15189), hAPP(hAPP(c_List_Olist_OCons(_u15183), _u15191), _u15193)) | c_List_Olistrelp(_u15183, _u15185, _u15189, _u15193) )).
% 12.21/12.47 cnf(matrix-6586, plain, ( ~hBOOL(hAPP(hAPP(_u15186, _u15188), _u15192)) | ~c_List_Olistrelp(_u15184, _u15186, _u15190, _u15194) | c_List_Olistrelp(_u15184, _u15186, hAPP(hAPP(c_List_Olist_OCons(_u15184), _u15188), _u15190), hAPP(hAPP(c_List_Olist_OCons(_u15184), _u15192), _u15194)) )).
% 12.21/12.47 cnf(matrix-6587, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15197), tc_List_Olist(_u15197))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15197), tc_List_Olist(_u15197)), hAPP(hAPP(c_List_Olist_OCons(_u15197), _u15198), _u15199)), _u15200)), c_List_Olistrel(_u15197, _u15201))) | ( _u15200 = hAPP(hAPP(c_List_Olist_OCons(_u15197), skolem396(_u15201, _u15200, _u15199, _u15198, _u15197)), skolem397(_u15201, _u15200, _u15199, _u15198, _u15197))) )).
% 12.21/12.47 cnf(matrix-6588, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15197), tc_List_Olist(_u15197))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15197), tc_List_Olist(_u15197)), hAPP(hAPP(c_List_Olist_OCons(_u15197), _u15198), _u15199)), _u15200)), c_List_Olistrel(_u15197, _u15201))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15197, _u15197)), hAPP(hAPP(c_Product__Type_OPair(_u15197, _u15197), _u15198), skolem396(_u15201, _u15200, _u15199, _u15198, _u15197))), _u15201)) )).
% 12.21/12.47 cnf(matrix-6589, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15197), tc_List_Olist(_u15197))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15197), tc_List_Olist(_u15197)), hAPP(hAPP(c_List_Olist_OCons(_u15197), _u15198), _u15199)), _u15200)), c_List_Olistrel(_u15197, _u15201))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15197), tc_List_Olist(_u15197))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15197), tc_List_Olist(_u15197)), _u15199), skolem397(_u15201, _u15200, _u15199, _u15198, _u15197))), c_List_Olistrel(_u15197, _u15201))) )).
% 12.21/12.47 cnf(matrix-6590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15202, _u15202), tc_HOL_Obool)), _u15203), hAPP(hAPP(c_Product__Type_OSigma(_u15202, _u15202), _u15204), hAPP(c_COMBK(tc_fun(_u15202, tc_HOL_Obool), _u15202), _u15204)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15202), tc_List_Olist(_u15202)), tc_HOL_Obool)), c_List_Olistrel(_u15202, _u15203)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15202), tc_List_Olist(_u15202)), c_List_Olists(_u15202, _u15204)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15202), tc_HOL_Obool), tc_List_Olist(_u15202)), c_List_Olists(_u15202, _u15204))))) )).
% 12.21/12.47 cnf(matrix-6591, plain, ( ( c_List_Olists(_u15205, c_Orderings_Otop__class_Otop(tc_fun(_u15205, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15205), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15206, tc_HOL_Obool)), _u15207), _u15208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15206), tc_HOL_Obool)), c_List_Olists(_u15206, _u15207)), c_List_Olists(_u15206, _u15208))) )).
% 12.21/12.47 cnf(matrix-6593, plain, ( ~c_Equiv__Relations_Oequiv(_u15209, _u15210, _u15211) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15209), c_List_Olists(_u15209, _u15210), c_List_Olistrel(_u15209, _u15211)) )).
% 12.21/12.47 cnf(matrix-6594, plain, ( ~c_Relation_Orefl__on(_u15212, _u15213, _u15214) | c_Relation_Orefl__on(tc_List_Olist(_u15212), c_List_Olists(_u15212, _u15213), c_List_Olistrel(_u15212, _u15214)) )).
% 12.21/12.47 cnf(matrix-6595, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15219)), hAPP(hAPP(c_List_Olist_OCons(_u15219), _u15221), _u15223)), c_List_Olists(_u15219, _u15225))) | hBOOL(hAPP(hAPP(c_member(_u15219), _u15221), _u15225)) )).
% 12.21/12.47 cnf(matrix-6596, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15219)), hAPP(hAPP(c_List_Olist_OCons(_u15219), _u15221), _u15223)), c_List_Olists(_u15219, _u15225))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15219)), _u15223), c_List_Olists(_u15219, _u15225))) )).
% 12.21/12.47 cnf(matrix-6597, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15220), _u15222), _u15226)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15220)), _u15224), c_List_Olists(_u15220, _u15226))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15220)), hAPP(hAPP(c_List_Olist_OCons(_u15220), _u15222), _u15224)), c_List_Olists(_u15220, _u15226))) )).
% 12.21/12.47 cnf(matrix-6598, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15227)), _u15228), c_List_Olists(_u15227, c_Wellfounded_Oacc(_u15227, _u15229)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15227)), _u15228), c_Wellfounded_Oacc(tc_List_Olist(_u15227), c_List_Olistrel1(_u15227, _u15229)))) )).
% 12.21/12.47 cnf(matrix-6599, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15230)), _u15231), c_Wellfounded_Oacc(tc_List_Olist(_u15230), c_List_Olistrel1(_u15230, _u15232)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15230)), _u15231), c_List_Olists(_u15230, c_Wellfounded_Oacc(_u15230, _u15232)))) )).
% 12.21/12.47 cnf(matrix-6600, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15239), tc_List_Olist(_u15239))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15239), tc_List_Olist(_u15239)), _u15241), _u15243)), c_List_Olistrel(_u15239, _u15245))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15239)), _u15241) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15239)), _u15243)) )).
% 12.21/12.47 cnf(matrix-6601, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15239), tc_List_Olist(_u15239))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15239), tc_List_Olist(_u15239)), _u15241), _u15243)), c_List_Olistrel(_u15239, _u15245))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15233), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15239)), _u15241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15239, _u15239)), hAPP(hAPP(c_Product__Type_OPair(_u15239, _u15239), hAPP(hAPP(c_List_Onth(_u15239), _u15241), _u15233)), hAPP(hAPP(c_List_Onth(_u15239), _u15243), _u15233))), _u15245)) )).
% 12.21/12.47 cnf(matrix-6602, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15240), tc_List_Olist(_u15240))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15240), tc_List_Olist(_u15240)), _u15242), _u15244)), c_List_Olistrel(_u15240, _u15246))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15242) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem398(_u15246, _u15244, _u15242, _u15240)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15242))) )).
% 12.21/12.47 cnf(matrix-6603, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15240), tc_List_Olist(_u15240))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15240), tc_List_Olist(_u15240)), _u15242), _u15244)), c_List_Olistrel(_u15240, _u15246))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15242) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15240)), _u15244)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15240, _u15240)), hAPP(hAPP(c_Product__Type_OPair(_u15240, _u15240), hAPP(hAPP(c_List_Onth(_u15240), _u15242), skolem398(_u15246, _u15244, _u15242, _u15240))), hAPP(hAPP(c_List_Onth(_u15240), _u15244), skolem398(_u15246, _u15244, _u15242, _u15240)))), _u15246)) )).
% 12.21/12.47 cnf(matrix-6604, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15251), _u15252)), c_List_Olexord(_u15249, _u15250))) | ( _u15251 = _u15252) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15252), _u15251)), c_List_Olexord(_u15249, _u15250))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15249, _u15249)), hAPP(hAPP(c_Product__Type_OPair(_u15249, _u15249), skolem399(_u15252, _u15251, _u15250, _u15249)), skolem400(_u15252, _u15251, _u15250, _u15249))), _u15250)) )).
% 12.21/12.47 cnf(matrix-6605, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15251), _u15252)), c_List_Olexord(_u15249, _u15250))) | ( _u15251 = _u15252) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15252), _u15251)), c_List_Olexord(_u15249, _u15250))) | ( skolem399(_u15252, _u15251, _u15250, _u15249) != skolem400(_u15252, _u15251, _u15250, _u15249)) )).
% 12.21/12.47 cnf(matrix-6606, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15251), _u15252)), c_List_Olexord(_u15249, _u15250))) | ( _u15251 = _u15252) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15249), tc_List_Olist(_u15249))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15249), tc_List_Olist(_u15249)), _u15252), _u15251)), c_List_Olexord(_u15249, _u15250))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15249, _u15249)), hAPP(hAPP(c_Product__Type_OPair(_u15249, _u15249), skolem400(_u15252, _u15251, _u15250, _u15249)), skolem399(_u15252, _u15251, _u15250, _u15249))), _u15250)) )).
% 12.21/12.47 cnf(matrix-6607, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15253)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15253), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-6608, plain, ( ( _u15259 != _u15261) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15263)), _u15259) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15263)), _u15261)) )).
% 12.21/12.47 cnf(matrix-6609, plain, ( ( _u15259 != _u15261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15263)), _u15259))) | ( hAPP(hAPP(c_List_Onth(_u15263), _u15259), _u15254) = hAPP(hAPP(c_List_Onth(_u15263), _u15261), _u15254)) )).
% 12.21/12.47 cnf(matrix-6610, plain, ( ( _u15260 = _u15262) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15260) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem401(_u15264, _u15262, _u15260)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15260))) )).
% 12.21/12.47 cnf(matrix-6611, plain, ( ( _u15260 = _u15262) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15260) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15264)), _u15262)) | ( hAPP(hAPP(c_List_Onth(_u15264), _u15260), skolem401(_u15264, _u15262, _u15260)) != hAPP(hAPP(c_List_Onth(_u15264), _u15262), skolem401(_u15264, _u15262, _u15260))) )).
% 12.21/12.47 cnf(matrix-6612, plain, ( ( hAPP(hAPP(c_List_Onth(_u15265), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15266), _u15267)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15266) )).
% 12.21/12.47 cnf(matrix-6613, plain, ( ( hAPP(hAPP(c_List_Onth(_u15268), hAPP(hAPP(c_List_Olist_OCons(_u15268), _u15269), _u15270)), hAPP(c_Nat_OSuc, _u15271)) = hAPP(hAPP(c_List_Onth(_u15268), _u15270), _u15271)) )).
% 12.21/12.47 cnf(matrix-6614, plain, ( ( hAPP(hAPP(c_List_Onth(_u15272), hAPP(hAPP(c_List_Olist_OCons(_u15272), _u15273), _u15274)), _u15275) = c_Nat_Onat_Onat__case(_u15272, _u15273, hAPP(c_List_Onth(_u15272), _u15274), _u15275)) )).
% 12.21/12.47 cnf(matrix-6615, plain, ( ( _u15280 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15282), hAPP(hAPP(c_List_Olist_OCons(_u15282), _u15284), _u15286)), _u15280) = _u15284) )).
% 12.21/12.47 cnf(matrix-6616, plain, ( ( _u15281 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15283), hAPP(hAPP(c_List_Olist_OCons(_u15283), _u15285), _u15287)), _u15281) = hAPP(hAPP(c_List_Onth(_u15283), _u15287), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15281), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-6617, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15292) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15294), hAPP(hAPP(c_List_Olist_OCons(_u15294), _u15296), _u15298)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15292)) = _u15296) )).
% 12.21/12.47 cnf(matrix-6618, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15293) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15295), hAPP(hAPP(c_List_Olist_OCons(_u15295), _u15297), _u15299)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15293)) = hAPP(hAPP(c_List_Onth(_u15295), _u15299), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15293)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-6619, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem402(_u15312, _u15310, _u15308, _u15306)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310)))) )).
% 12.21/12.47 cnf(matrix-6620, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310))) | ( hAPP(hAPP(c_List_Otake(_u15306), skolem402(_u15312, _u15310, _u15308, _u15306)), _u15308) = hAPP(hAPP(c_List_Otake(_u15306), skolem402(_u15312, _u15310, _u15308, _u15306)), _u15310)) )).
% 12.21/12.47 cnf(matrix-6621, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15306, _u15306)), hAPP(hAPP(c_Product__Type_OPair(_u15306, _u15306), hAPP(hAPP(c_List_Onth(_u15306), _u15308), skolem402(_u15312, _u15310, _u15308, _u15306))), hAPP(hAPP(c_List_Onth(_u15306), _u15310), skolem402(_u15312, _u15310, _u15308, _u15306)))), _u15312)) )).
% 12.21/12.47 cnf(matrix-6622, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | ( hAPP(hAPP(c_List_Otake(_u15306), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), _u15310) = _u15308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem402(_u15312, _u15310, _u15308, _u15306)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15310)))) )).
% 12.21/12.47 cnf(matrix-6623, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | ( hAPP(hAPP(c_List_Otake(_u15306), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), _u15310) = _u15308) | ( hAPP(hAPP(c_List_Otake(_u15306), skolem402(_u15312, _u15310, _u15308, _u15306)), _u15308) = hAPP(hAPP(c_List_Otake(_u15306), skolem402(_u15312, _u15310, _u15308, _u15306)), _u15310)) )).
% 12.21/12.47 cnf(matrix-6624, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15306), tc_List_Olist(_u15306))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15306), tc_List_Olist(_u15306)), _u15308), _u15310)), c_List_Olexord(_u15306, _u15312))) | ( hAPP(hAPP(c_List_Otake(_u15306), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15308)), _u15310) = _u15308) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15306, _u15306)), hAPP(hAPP(c_Product__Type_OPair(_u15306, _u15306), hAPP(hAPP(c_List_Onth(_u15306), _u15308), skolem402(_u15312, _u15310, _u15308, _u15306))), hAPP(hAPP(c_List_Onth(_u15306), _u15310), skolem402(_u15312, _u15310, _u15308, _u15306)))), _u15312)) )).
% 12.21/12.47 cnf(matrix-6625, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15307), tc_List_Olist(_u15307))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15307), tc_List_Olist(_u15307)), _u15309), _u15311)), c_List_Olexord(_u15307, _u15313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15309)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15311))) | ( hAPP(hAPP(c_List_Otake(_u15307), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15309)), _u15311) != _u15309) )).
% 12.21/12.47 cnf(matrix-6626, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15307), tc_List_Olist(_u15307))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15307), tc_List_Olist(_u15307)), _u15309), _u15311)), c_List_Olexord(_u15307, _u15313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15301), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15309)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15307)), _u15311)))) | ( hAPP(hAPP(c_List_Otake(_u15307), _u15301), _u15309) != hAPP(hAPP(c_List_Otake(_u15307), _u15301), _u15311)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15307, _u15307)), hAPP(hAPP(c_Product__Type_OPair(_u15307, _u15307), hAPP(hAPP(c_List_Onth(_u15307), _u15309), _u15301)), hAPP(hAPP(c_List_Onth(_u15307), _u15311), _u15301))), _u15313)) )).
% 12.21/12.47 cnf(matrix-6627, plain, ( ( hAPP(c_List_Oset(_u15314), c_List_Osublist(_u15314, _u15315, _u15316)) = hAPP(c_Set_OCollect(_u15314), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15314), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15314, 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)), _u15314), 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)), _u15314), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15314, tc_fun(tc_Nat_Onat, _u15314), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15314, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15314), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15314), c_COMBB(_u15314, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15314), _u15315))))), 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(_u15314)), _u15315)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15316)))))) )).
% 12.21/12.47 cnf(matrix-6628, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15317), hAPP(c_List_Oset(_u15317), _u15318))) )).
% 12.21/12.47 cnf(matrix-6629, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15319, tc_HOL_Obool)), hAPP(c_List_Oset(_u15319), _u15320)), hAPP(c_List_Oset(_u15319), hAPP(hAPP(c_List_Olist_OCons(_u15319), _u15321), _u15320)))) )).
% 12.21/12.47 cnf(matrix-6630, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15322)), _u15323)), _u15324)) | ( hAPP(hAPP(c_List_Otake(_u15322), _u15324), _u15323) = _u15323) )).
% 12.21/12.47 cnf(matrix-6631, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15325, tc_HOL_Obool)), hAPP(c_List_Oset(_u15325), hAPP(hAPP(c_List_Otake(_u15325), _u15326), _u15327))), hAPP(c_List_Oset(_u15325), _u15327))) )).
% 12.21/12.47 cnf(matrix-6632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15328), _u15329)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15330, tc_HOL_Obool)), hAPP(c_List_Oset(_u15330), hAPP(hAPP(c_List_Otake(_u15330), _u15328), _u15331))), hAPP(c_List_Oset(_u15330), hAPP(hAPP(c_List_Otake(_u15330), _u15329), _u15331)))) )).
% 12.21/12.47 cnf(matrix-6633, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15332, tc_HOL_Obool)), hAPP(c_List_Oset(_u15332), c_List_Osublist(_u15332, _u15333, _u15334))), hAPP(c_List_Oset(_u15332), _u15333))) )).
% 12.21/12.47 cnf(matrix-6634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15335), _u15336)) | ( hAPP(hAPP(c_List_Onth(_u15337), hAPP(hAPP(c_List_Otake(_u15337), _u15336), _u15338)), _u15335) = hAPP(hAPP(c_List_Onth(_u15337), _u15338), _u15335)) )).
% 12.21/12.47 cnf(matrix-6635, plain, ( hBOOL(hAPP(hAPP(c_member(_u15339), _u15340), hAPP(c_List_Oset(_u15339), _u15341))) | ~hBOOL(hAPP(hAPP(c_member(_u15339), _u15340), hAPP(c_List_Oset(_u15339), c_List_Osublist(_u15339, _u15341, _u15342)))) )).
% 12.21/12.47 cnf(matrix-6636, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15343), _u15344), hAPP(c_List_Oset(_u15343), hAPP(hAPP(c_List_Otake(_u15343), _u15345), _u15346)))) | hBOOL(hAPP(hAPP(c_member(_u15343), _u15344), hAPP(c_List_Oset(_u15343), _u15346))) )).
% 12.21/12.47 cnf(matrix-6637, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15347), _u15348), hAPP(c_List_Oset(_u15347), c_List_Osublist(_u15347, _u15349, _u15350)))) | hBOOL(hAPP(hAPP(c_member(_u15347), _u15348), hAPP(c_List_Oset(_u15347), _u15349))) )).
% 12.21/12.47 cnf(matrix-6638, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15351), _u15352), hAPP(c_List_Oset(_u15351), hAPP(hAPP(c_List_Olist_OCons(_u15351), _u15353), _u15354)))) | ( _u15352 = _u15353) | hBOOL(hAPP(hAPP(c_member(_u15351), _u15352), hAPP(c_List_Oset(_u15351), _u15354))) )).
% 12.21/12.47 cnf(matrix-6639, plain, ( ( hAPP(hAPP(c_List_Otake(_u15355), hAPP(c_Nat_OSuc, _u15356)), hAPP(hAPP(c_List_Olist_OCons(_u15355), _u15357), _u15358)) = hAPP(hAPP(c_List_Olist_OCons(_u15355), _u15357), hAPP(hAPP(c_List_Otake(_u15355), _u15356), _u15358))) )).
% 12.21/12.47 cnf(matrix-6640, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15359)), hAPP(hAPP(c_List_Otake(_u15359), _u15360), _u15361)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15359)), _u15361)), _u15360)) )).
% 12.21/12.47 cnf(matrix-6641, plain, ( ( hAPP(hAPP(c_List_Otake(_u15362), _u15363), hAPP(hAPP(c_List_Otake(_u15362), _u15364), _u15365)) = hAPP(hAPP(c_List_Otake(_u15362), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15363), _u15364)), _u15365)) )).
% 12.21/12.47 cnf(matrix-6642, plain, ( ( hAPP(c_List_Oset(_u15366), hAPP(hAPP(c_List_Olist_OCons(_u15366), _u15367), _u15368)) = hAPP(hAPP(c_Set_Oinsert(_u15366), _u15367), hAPP(c_List_Oset(_u15366), _u15368))) )).
% 12.21/12.47 cnf(matrix-6643, plain, ( ( c_List_Osublist(_u15369, _u15370, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15371)) = hAPP(hAPP(c_List_Otake(_u15369), _u15371), _u15370)) )).
% 12.21/12.47 cnf(matrix-6644, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15372), hAPP(c_List_Oset(_u15372), _u15373))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15373))) )).
% 12.21/12.47 cnf(matrix-6645, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15375), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15381)), _u15383))) | hBOOL(hAPP(_u15385, hAPP(hAPP(c_List_Onth(_u15381), _u15383), _u15375))) | hBOOL(hAPP(hAPP(c_member(_u15381), skolem403(_u15385, _u15383, _u15381)), hAPP(c_List_Oset(_u15381), _u15383))) )).
% 12.21/12.47 cnf(matrix-6646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15375), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15381)), _u15383))) | hBOOL(hAPP(_u15385, hAPP(hAPP(c_List_Onth(_u15381), _u15383), _u15375))) | ~hBOOL(hAPP(_u15385, skolem403(_u15385, _u15383, _u15381))) )).
% 12.21/12.47 cnf(matrix-6647, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15382), _u15377), hAPP(c_List_Oset(_u15382), _u15384))) | hBOOL(hAPP(_u15386, _u15377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem404(_u15386, _u15384, _u15382)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15382)), _u15384))) )).
% 12.21/12.47 cnf(matrix-6648, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15382), _u15377), hAPP(c_List_Oset(_u15382), _u15384))) | hBOOL(hAPP(_u15386, _u15377)) | ~hBOOL(hAPP(_u15386, hAPP(hAPP(c_List_Onth(_u15382), _u15384), skolem404(_u15386, _u15384, _u15382)))) )).
% 12.21/12.47 cnf(matrix-6649, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15387), _u15388), hAPP(c_List_Oset(_u15387), _u15389))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15390), hAPP(_u15391, _u15388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15390), c_List_Olist_Olist__size(_u15387, _u15391, _u15389))) )).
% 12.21/12.47 cnf(matrix-6650, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15392), _u15393), hAPP(c_List_Oset(_u15392), _u15394))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15395), hAPP(_u15396, _u15393))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15395), c_List_Olist_Olist__size(_u15392, _u15396, _u15394))) )).
% 12.21/12.47 cnf(matrix-6651, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15402)), _u15404), c_List_Olists(_u15402, _u15406))) | ~hBOOL(hAPP(hAPP(c_member(_u15402), _u15397), hAPP(c_List_Oset(_u15402), _u15404))) | hBOOL(hAPP(hAPP(c_member(_u15402), _u15397), _u15406)) )).
% 12.21/12.47 cnf(matrix-6652, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15403)), _u15405), c_List_Olists(_u15403, _u15407))) | hBOOL(hAPP(hAPP(c_member(_u15403), skolem405(_u15407, _u15405, _u15403)), hAPP(c_List_Oset(_u15403), _u15405))) )).
% 12.21/12.47 cnf(matrix-6653, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15403)), _u15405), c_List_Olists(_u15403, _u15407))) | ~hBOOL(hAPP(hAPP(c_member(_u15403), skolem405(_u15407, _u15405, _u15403)), _u15407)) )).
% 12.21/12.47 cnf(matrix-6654, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15408), _u15409), hAPP(c_List_Oset(_u15408), _u15410))) | 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(_u15408)), _u15410))) )).
% 12.21/12.47 cnf(matrix-6655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15411), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15412)), _u15413))) | hBOOL(hAPP(hAPP(c_member(_u15412), hAPP(hAPP(c_List_Onth(_u15412), _u15413), _u15411)), hAPP(c_List_Oset(_u15412), _u15413))) )).
% 12.21/12.47 cnf(matrix-6656, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15419), _u15421), hAPP(c_List_Oset(_u15419), _u15423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem406(_u15423, _u15421, _u15419)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15419)), _u15423))) )).
% 12.21/12.47 cnf(matrix-6657, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15419), _u15421), hAPP(c_List_Oset(_u15419), _u15423))) | ( hAPP(hAPP(c_List_Onth(_u15419), _u15423), skolem406(_u15423, _u15421, _u15419)) = _u15421) )).
% 12.21/12.47 cnf(matrix-6658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15415), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15420)), _u15424))) | ( hAPP(hAPP(c_List_Onth(_u15420), _u15424), _u15415) != _u15422) | hBOOL(hAPP(hAPP(c_member(_u15420), _u15422), hAPP(c_List_Oset(_u15420), _u15424))) )).
% 12.21/12.47 cnf(matrix-6659, plain, ( ( c_List_Olists(_u15425, _u15426) = hAPP(c_Set_OCollect(tc_List_Olist(_u15425)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15425), tc_fun(_u15425, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15425, tc_HOL_Obool), tc_fun(tc_fun(_u15425, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15425)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15425, tc_HOL_Obool))), c_List_Oset(_u15425))), _u15426))) )).
% 12.21/12.47 cnf(matrix-6660, plain, ( ( hAPP(c_List_Oset(_u15427), _u15428) = hAPP(c_Set_OCollect(_u15427), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15427), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15427, 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)), _u15427), 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)), _u15427), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15427, tc_fun(tc_Nat_Onat, _u15427), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15427, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15427), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15427), c_COMBB(_u15427, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15427), _u15428))))), 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(_u15427)), _u15428)))))) )).
% 12.21/12.47 cnf(matrix-6661, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15429), _u15430)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15429)), hAPP(c_Set_OCollect(tc_List_Olist(_u15429)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15429), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15429)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15429), tc_fun(_u15429, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15429, tc_HOL_Obool), tc_fun(tc_fun(_u15429, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15429)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15429, tc_HOL_Obool))), c_List_Oset(_u15429))), _u15430))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15429), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15429)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15429)))), _u15431))))) )).
% 12.21/12.47 cnf(matrix-6662, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15432), _u15433)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15432)), hAPP(c_Set_OCollect(tc_List_Olist(_u15432)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15432), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15432)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15432), tc_fun(_u15432, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15432, tc_HOL_Obool), tc_fun(tc_fun(_u15432, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15432)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15432, tc_HOL_Obool))), c_List_Oset(_u15432))), _u15433))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15432), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15432)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15432)))), _u15434))))) )).
% 12.21/12.47 cnf(matrix-6663, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15441), tc_List_Olist(_u15441))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15441), tc_List_Olist(_u15441)), _u15443), _u15445)), c_List_Olistrel(_u15441, _u15447))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15441)), _u15443) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15441)), _u15445)) )).
% 12.21/12.47 cnf(matrix-6664, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15441), tc_List_Olist(_u15441))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15441), tc_List_Olist(_u15441)), _u15443), _u15445)), c_List_Olistrel(_u15441, _u15447))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15441, _u15441)), _u15435), hAPP(c_List_Oset(tc_prod(_u15441, _u15441)), hAPP(hAPP(c_List_Ozip(_u15441, _u15441), _u15443), _u15445)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15441, _u15441, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15441, tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_fun(_u15441, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15441, tc_fun(tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_fun(_u15441, tc_HOL_Obool)), _u15441), c_COMBC(_u15441, tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15441, tc_prod(_u15441, _u15441)), tc_fun(_u15441, tc_fun(tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_HOL_Obool)), _u15441), hAPP(c_COMBB(tc_prod(_u15441, _u15441), tc_fun(tc_fun(tc_prod(_u15441, _u15441), tc_HOL_Obool), tc_HOL_Obool), _u15441), c_member(tc_prod(_u15441, _u15441)))), c_Product__Type_OPair(_u15441, _u15441)))), _u15447)), _u15435)) )).
% 12.21/12.47 cnf(matrix-6665, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15442), tc_List_Olist(_u15442))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15442), tc_List_Olist(_u15442)), _u15444), _u15446)), c_List_Olistrel(_u15442, _u15448))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15442)), _u15444) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15442)), _u15446)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15442, _u15442)), skolem407(_u15448, _u15446, _u15444, _u15442)), hAPP(c_List_Oset(tc_prod(_u15442, _u15442)), hAPP(hAPP(c_List_Ozip(_u15442, _u15442), _u15444), _u15446)))) )).
% 12.21/12.47 cnf(matrix-6666, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15442), tc_List_Olist(_u15442))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15442), tc_List_Olist(_u15442)), _u15444), _u15446)), c_List_Olistrel(_u15442, _u15448))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15442)), _u15444) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15442)), _u15446)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15442, _u15442, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15442, tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_fun(_u15442, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15442, tc_fun(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_fun(_u15442, tc_HOL_Obool)), _u15442), c_COMBC(_u15442, tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15442, tc_prod(_u15442, _u15442)), tc_fun(_u15442, tc_fun(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_HOL_Obool)), _u15442), hAPP(c_COMBB(tc_prod(_u15442, _u15442), tc_fun(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool), tc_HOL_Obool), _u15442), c_member(tc_prod(_u15442, _u15442)))), c_Product__Type_OPair(_u15442, _u15442)))), _u15448)), skolem407(_u15448, _u15446, _u15444, _u15442))) )).
% 12.21/12.47 cnf(matrix-6667, plain, ( ( hAPP(c_List_Oset(tc_prod(_u15449, _u15450)), hAPP(hAPP(c_List_Ozip(_u15449, _u15450), _u15451), _u15452)) = hAPP(c_Set_OCollect(tc_prod(_u15449, _u15450)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15449, _u15450)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15449, _u15450), 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(_u15449, _u15450)), 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(_u15449, _u15450)), 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(_u15449, _u15450), tc_fun(tc_Nat_Onat, tc_prod(_u15449, _u15450)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15449, _u15450), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15449, _u15450)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15449, _u15450)), c_COMBB(tc_prod(_u15449, _u15450), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15450, tc_prod(_u15449, _u15450)), hAPP(hAPP(c_COMBB(_u15449, tc_fun(_u15450, tc_prod(_u15449, _u15450)), tc_Nat_Onat), c_Product__Type_OPair(_u15449, _u15450)), hAPP(c_List_Onth(_u15449), _u15451))), hAPP(c_List_Onth(_u15450), _u15452)))))), 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(_u15449)), _u15451)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15450)), _u15452))))))) )).
% 12.21/12.47 cnf(matrix-6668, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15453, _u15454)), _u15455), hAPP(hAPP(c_List_Ozip(_u15453, _u15454), _u15456), _u15457)) = hAPP(hAPP(c_List_Ozip(_u15453, _u15454), hAPP(hAPP(c_List_Otake(_u15453), _u15455), _u15456)), hAPP(hAPP(c_List_Otake(_u15454), _u15455), _u15457))) )).
% 12.21/12.47 cnf(matrix-6669, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15458, _u15459))), hAPP(hAPP(c_List_Ozip(_u15458, _u15459), _u15460), _u15461)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15458)), _u15460)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15461))) )).
% 12.21/12.47 cnf(matrix-6670, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15462, _u15463), hAPP(hAPP(c_List_Olist_OCons(_u15462), _u15464), _u15465)), hAPP(hAPP(c_List_Olist_OCons(_u15463), _u15466), _u15467)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15462, _u15463)), hAPP(hAPP(c_Product__Type_OPair(_u15462, _u15463), _u15464), _u15466)), hAPP(hAPP(c_List_Ozip(_u15462, _u15463), _u15465), _u15467))) )).
% 12.21/12.47 cnf(matrix-6671, plain, ( ( _u15473 != _u15475) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15477)), _u15473) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15477)), _u15475)) )).
% 12.21/12.47 cnf(matrix-6672, plain, ( ( _u15473 != _u15475) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15477, _u15477)), _u15468), hAPP(c_List_Oset(tc_prod(_u15477, _u15477)), hAPP(hAPP(c_List_Ozip(_u15477, _u15477), _u15473), _u15475)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15477, _u15477, tc_HOL_Obool), c_fequal), _u15468)) )).
% 12.21/12.47 cnf(matrix-6673, plain, ( ( _u15474 = _u15476) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)), _u15474) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)), _u15476)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15478, _u15478)), skolem408(_u15478, _u15476, _u15474)), hAPP(c_List_Oset(tc_prod(_u15478, _u15478)), hAPP(hAPP(c_List_Ozip(_u15478, _u15478), _u15474), _u15476)))) )).
% 12.21/12.47 cnf(matrix-6674, plain, ( ( _u15474 = _u15476) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)), _u15474) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)), _u15476)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15478, _u15478, tc_HOL_Obool), c_fequal), skolem408(_u15478, _u15476, _u15474))) )).
% 12.21/12.47 cnf(matrix-6675, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15483, _u15483)), hAPP(hAPP(c_Product__Type_OPair(_u15483, _u15483), _u15485), _u15487)), hAPP(c_List_Oset(tc_prod(_u15483, _u15483)), hAPP(hAPP(c_List_Ozip(_u15483, _u15483), _u15489), _u15489)))) | hBOOL(hAPP(hAPP(c_member(_u15483), _u15485), hAPP(c_List_Oset(_u15483), _u15489))) )).
% 12.21/12.47 cnf(matrix-6676, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15483, _u15483)), hAPP(hAPP(c_Product__Type_OPair(_u15483, _u15483), _u15485), _u15487)), hAPP(c_List_Oset(tc_prod(_u15483, _u15483)), hAPP(hAPP(c_List_Ozip(_u15483, _u15483), _u15489), _u15489)))) | ( _u15485 = _u15487) )).
% 12.21/12.47 cnf(matrix-6677, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15484), _u15486), hAPP(c_List_Oset(_u15484), _u15490))) | ( _u15486 != _u15488) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15484, _u15484)), hAPP(hAPP(c_Product__Type_OPair(_u15484, _u15484), _u15486), _u15488)), hAPP(c_List_Oset(tc_prod(_u15484, _u15484)), hAPP(hAPP(c_List_Ozip(_u15484, _u15484), _u15490), _u15490)))) )).
% 12.21/12.47 cnf(matrix-6678, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15491, _u15492)), hAPP(hAPP(c_Product__Type_OPair(_u15491, _u15492), _u15493), _u15494)), hAPP(c_List_Oset(tc_prod(_u15491, _u15492)), hAPP(hAPP(c_List_Ozip(_u15491, _u15492), _u15495), _u15496)))) | hBOOL(hAPP(hAPP(c_member(_u15491), _u15493), hAPP(c_List_Oset(_u15491), _u15495))) )).
% 12.21/12.47 cnf(matrix-6679, plain, ( hBOOL(hAPP(hAPP(c_member(_u15498), _u15500), hAPP(c_List_Oset(_u15498), _u15502))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15497, _u15498)), hAPP(hAPP(c_Product__Type_OPair(_u15497, _u15498), _u15499), _u15500)), hAPP(c_List_Oset(tc_prod(_u15497, _u15498)), hAPP(hAPP(c_List_Ozip(_u15497, _u15498), _u15501), _u15502)))) )).
% 12.21/12.47 cnf(matrix-6680, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15503, _u15504)), hAPP(hAPP(c_Product__Type_OPair(_u15503, _u15504), _u15505), _u15506)), hAPP(c_List_Oset(tc_prod(_u15503, _u15504)), hAPP(hAPP(c_List_Ozip(_u15503, _u15504), _u15507), _u15508)))) | hBOOL(hAPP(hAPP(c_member(_u15503), _u15505), hAPP(c_List_Oset(_u15503), _u15507))) )).
% 12.21/12.47 cnf(matrix-6681, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15503, _u15504)), hAPP(hAPP(c_Product__Type_OPair(_u15503, _u15504), _u15505), _u15506)), hAPP(c_List_Oset(tc_prod(_u15503, _u15504)), hAPP(hAPP(c_List_Ozip(_u15503, _u15504), _u15507), _u15508)))) | hBOOL(hAPP(hAPP(c_member(_u15504), _u15506), hAPP(c_List_Oset(_u15504), _u15508))) )).
% 12.21/12.47 cnf(matrix-6682, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15510)), _u15511))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15512)), _u15513))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15510, _u15512)), hAPP(hAPP(c_List_Ozip(_u15510, _u15512), _u15511), _u15513)), _u15509) = hAPP(hAPP(c_Product__Type_OPair(_u15510, _u15512), hAPP(hAPP(c_List_Onth(_u15510), _u15511), _u15509)), hAPP(hAPP(c_List_Onth(_u15512), _u15513), _u15509))) )).
% 12.21/12.47 cnf(matrix-6683, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15514, _u15515) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15514), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15515), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.47 cnf(matrix-6684, plain, ( ~class_Groups_Ocomm__monoid__add(_u15516) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15516), _u15517) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15516), hAPP(c_List_Onth(_u15516), _u15517)), 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(_u15516)), _u15517)))) )).
% 12.21/12.47 cnf(matrix-6685, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15518, _u15519) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15518, _u15519))) )).
% 12.21/12.47 cnf(matrix-6686, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15520, _u15521)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15520, _u15521)) )).
% 12.21/12.47 cnf(matrix-6687, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15525) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15522), hAPP(c_List_Oset(tc_Nat_Onat), _u15525))) | ( _u15522 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6688, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15526) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem409(_u15526)), hAPP(c_List_Oset(tc_Nat_Onat), _u15526))) )).
% 12.21/12.47 cnf(matrix-6689, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15526) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem409(_u15526) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15527), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15528), _u15527)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15528))) )).
% 12.21/12.47 cnf(matrix-6691, plain, ( ~class_Groups_Omonoid__add(_u15529) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15529), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15530), _u15531)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15529), _u15530), hAPP(c_List_Omonoid__add__class_Olistsum(_u15529), _u15531))) )).
% 12.21/12.47 cnf(matrix-6692, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15532), _u15533) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15532, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15533), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.47 cnf(matrix-6693, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15534, _u15535) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15534), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15535))) )).
% 12.21/12.47 cnf(matrix-6694, plain, ( ~c_List_Onat__list(_u15537) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15537)) )).
% 12.21/12.47 cnf(matrix-6695, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15538)) | c_List_Onat__list(_u15538) )).
% 12.21/12.47 cnf(matrix-6696, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15540, _u15542, _u15541)), c_List_Olist_Olist__size(_u15540, _u15543, _u15541))) | hBOOL(hAPP(hAPP(c_member(_u15540), skolem410(_u15543, _u15542, _u15541, _u15540)), hAPP(c_List_Oset(_u15540), _u15541))) )).
% 12.21/12.47 cnf(matrix-6697, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15540, _u15542, _u15541)), c_List_Olist_Olist__size(_u15540, _u15543, _u15541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15542, skolem410(_u15543, _u15542, _u15541, _u15540))), hAPP(_u15543, skolem410(_u15543, _u15542, _u15541, _u15540)))) )).
% 12.21/12.47 cnf(matrix-6698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15544), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15545))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15545), _u15544), _u15546)) = 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), _u15545)), _u15546)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15545), _u15544))) )).
% 12.21/12.47 cnf(matrix-6699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15547), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15548)), _u15549))) | ( c_List_Obutlast(_u15548, hAPP(hAPP(c_List_Otake(_u15548), _u15547), _u15549)) = hAPP(hAPP(c_List_Otake(_u15548), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15547), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15549)) )).
% 12.21/12.47 cnf(matrix-6700, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15550)), _u15551)), _u15552)) | ( hAPP(hAPP(c_List_Olist__update(_u15550, _u15551), _u15552), _u15553) = _u15551) )).
% 12.21/12.47 cnf(matrix-6701, plain, ( ( _u15554 = _u15555) | ( hAPP(hAPP(c_List_Onth(_u15556), hAPP(hAPP(c_List_Olist__update(_u15556, _u15557), _u15554), _u15558)), _u15555) = hAPP(hAPP(c_List_Onth(_u15556), _u15557), _u15555)) )).
% 12.21/12.47 cnf(matrix-6702, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15559, _u15560), _u15561), hAPP(hAPP(c_List_Onth(_u15559), _u15560), _u15561)) = _u15560) )).
% 12.21/12.47 cnf(matrix-6703, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15562)), hAPP(hAPP(c_List_Olist__update(_u15562, _u15563), _u15564), _u15565)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15562)), _u15563)) )).
% 12.21/12.47 cnf(matrix-6704, plain, ( ( _u15570 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15572)), _u15574)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15572, hAPP(hAPP(c_List_Olist__update(_u15572, _u15574), _u15570), _u15576)) = c_List_Obutlast(_u15572, _u15574)) )).
% 12.21/12.47 cnf(matrix-6705, plain, ( ( _u15571 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15573)), _u15575)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15573, hAPP(hAPP(c_List_Olist__update(_u15573, _u15575), _u15571), _u15577)) = hAPP(hAPP(c_List_Olist__update(_u15573, c_List_Obutlast(_u15573, _u15575)), _u15571), _u15577)) )).
% 12.21/12.47 cnf(matrix-6706, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15578, _u15579), hAPP(hAPP(c_List_Olist__update(_u15578, _u15580), _u15581), _u15582)), hAPP(hAPP(c_List_Olist__update(_u15579, _u15583), _u15581), _u15584)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15578, _u15579), hAPP(hAPP(c_List_Ozip(_u15578, _u15579), _u15580), _u15583)), _u15581), hAPP(hAPP(c_Product__Type_OPair(_u15578, _u15579), _u15582), _u15584))) )).
% 12.21/12.47 cnf(matrix-6707, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15585, _u15586), hAPP(hAPP(c_List_Ozip(_u15585, _u15586), _u15587), _u15588)), _u15589), _u15590) = hAPP(hAPP(c_List_Ozip(_u15585, _u15586), hAPP(hAPP(c_List_Olist__update(_u15585, _u15587), _u15589), hAPP(c_Product__Type_Ofst(_u15585, _u15586), _u15590))), hAPP(hAPP(c_List_Olist__update(_u15586, _u15588), _u15589), hAPP(c_Product__Type_Osnd(_u15585, _u15586), _u15590)))) )).
% 12.21/12.47 cnf(matrix-6708, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15591, hAPP(hAPP(c_List_Olist__update(_u15591, _u15592), _u15593), _u15594)), _u15593), _u15595) = hAPP(hAPP(c_List_Olist__update(_u15591, _u15592), _u15593), _u15595)) )).
% 12.21/12.47 cnf(matrix-6709, plain, ( ( _u15596 = _u15597) | ( hAPP(hAPP(c_List_Olist__update(_u15598, hAPP(hAPP(c_List_Olist__update(_u15598, _u15599), _u15596), _u15600)), _u15597), _u15601) = hAPP(hAPP(c_List_Olist__update(_u15598, hAPP(hAPP(c_List_Olist__update(_u15598, _u15599), _u15597), _u15601)), _u15596), _u15600)) )).
% 12.21/12.47 cnf(matrix-6710, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15602, hAPP(hAPP(c_List_Olist_OCons(_u15602), _u15603), _u15604)), _u15605), _u15606) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15602), hAPP(hAPP(c_List_Olist_OCons(_u15602), _u15606), _u15604), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15602), tc_List_Olist(_u15602), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15602), _u15603)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15602, tc_List_Olist(_u15602)), c_List_Olist__update(_u15602, _u15604)), _u15606)), _u15605)) )).
% 12.21/12.47 cnf(matrix-6711, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15607, hAPP(hAPP(c_List_Olist_OCons(_u15607), _u15608), _u15609)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15610) = hAPP(hAPP(c_List_Olist_OCons(_u15607), _u15610), _u15609)) )).
% 12.21/12.47 cnf(matrix-6712, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15611, hAPP(hAPP(c_List_Olist_OCons(_u15611), _u15612), _u15613)), hAPP(c_Nat_OSuc, _u15614)), _u15615) = hAPP(hAPP(c_List_Olist_OCons(_u15611), _u15612), hAPP(hAPP(c_List_Olist__update(_u15611, _u15613), _u15614), _u15615))) )).
% 12.21/12.47 cnf(matrix-6713, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15616), _u15617), hAPP(c_List_Oset(_u15616), c_List_Obutlast(_u15616, _u15618)))) | hBOOL(hAPP(hAPP(c_member(_u15616), _u15617), hAPP(c_List_Oset(_u15616), _u15618))) )).
% 12.21/12.47 cnf(matrix-6714, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15619, tc_HOL_Obool)), hAPP(c_List_Oset(_u15619), _u15620)), _u15621)) | ~hBOOL(hAPP(hAPP(c_member(_u15619), _u15622), _u15621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15619, tc_HOL_Obool)), hAPP(c_List_Oset(_u15619), hAPP(hAPP(c_List_Olist__update(_u15619, _u15620), _u15623), _u15622))), _u15621)) )).
% 12.21/12.47 cnf(matrix-6715, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15624, tc_HOL_Obool)), hAPP(c_List_Oset(_u15624), hAPP(hAPP(c_List_Olist__update(_u15624, _u15625), _u15626), _u15627))), hAPP(hAPP(c_Set_Oinsert(_u15624), _u15627), hAPP(c_List_Oset(_u15624), _u15625)))) )).
% 12.21/12.47 cnf(matrix-6716, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15628), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15629)), _u15630))) | ( _u15628 != _u15631) | ( hAPP(hAPP(c_List_Onth(_u15629), hAPP(hAPP(c_List_Olist__update(_u15629, _u15630), _u15628), _u15632)), _u15631) = _u15632) )).
% 12.21/12.47 cnf(matrix-6717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15628), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15629)), _u15630))) | ( _u15628 = _u15631) | ( hAPP(hAPP(c_List_Onth(_u15629), hAPP(hAPP(c_List_Olist__update(_u15629, _u15630), _u15628), _u15632)), _u15631) = hAPP(hAPP(c_List_Onth(_u15629), _u15630), _u15631)) )).
% 12.21/12.47 cnf(matrix-6718, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15633), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15634)), _u15635))) | ( hAPP(hAPP(c_List_Olist__update(_u15634, _u15635), _u15633), _u15636) != _u15635) | ( hAPP(hAPP(c_List_Onth(_u15634), _u15635), _u15633) = _u15636) )).
% 12.21/12.47 cnf(matrix-6719, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15633), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15634)), _u15635))) | ( hAPP(hAPP(c_List_Onth(_u15634), _u15635), _u15633) != _u15636) | ( hAPP(hAPP(c_List_Olist__update(_u15634, _u15635), _u15633), _u15636) = _u15635) )).
% 12.21/12.47 cnf(matrix-6720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15637), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15638)), _u15639))) | ( hAPP(hAPP(c_List_Onth(_u15638), hAPP(hAPP(c_List_Olist__update(_u15638, _u15639), _u15637), _u15640)), _u15637) = _u15640) )).
% 12.21/12.47 cnf(matrix-6721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15641), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15642)), _u15643))) | ( hAPP(hAPP(c_List_Otake(_u15642), _u15641), c_List_Obutlast(_u15642, _u15643)) = hAPP(hAPP(c_List_Otake(_u15642), _u15641), _u15643)) )).
% 12.21/12.47 cnf(matrix-6722, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15644)), c_List_Obutlast(_u15644, _u15645)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15644)), _u15645)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-6723, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15646), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15647)), _u15648))) | hBOOL(hAPP(hAPP(c_member(_u15647), _u15649), hAPP(c_List_Oset(_u15647), hAPP(hAPP(c_List_Olist__update(_u15647, _u15648), _u15646), _u15649)))) )).
% 12.21/12.47 cnf(matrix-6724, plain, ( ( c_List_Obutlast(_u15650, _u15651) = hAPP(hAPP(c_List_Otake(_u15650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15650)), _u15651)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15651)) )).
% 12.21/12.47 cnf(matrix-6725, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15660), tc_List_Olist(_u15660))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15660), tc_List_Olist(_u15660)), _u15662), _u15664)), c_List_Olistrel1(_u15660, _u15666))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15660, _u15660)), hAPP(hAPP(c_Product__Type_OPair(_u15660, _u15660), hAPP(hAPP(c_List_Onth(_u15660), _u15662), skolem412(_u15666, _u15664, _u15662, _u15660))), skolem411(_u15666, _u15664, _u15662, _u15660))), _u15666)) )).
% 12.21/12.47 cnf(matrix-6726, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15660), tc_List_Olist(_u15660))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15660), tc_List_Olist(_u15660)), _u15662), _u15664)), c_List_Olistrel1(_u15660, _u15666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem412(_u15666, _u15664, _u15662, _u15660)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15660)), _u15662))) )).
% 12.21/12.47 cnf(matrix-6727, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15660), tc_List_Olist(_u15660))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15660), tc_List_Olist(_u15660)), _u15662), _u15664)), c_List_Olistrel1(_u15660, _u15666))) | ( _u15664 = hAPP(hAPP(c_List_Olist__update(_u15660, _u15662), skolem412(_u15666, _u15664, _u15662, _u15660)), skolem411(_u15666, _u15664, _u15662, _u15660))) )).
% 12.21/12.47 cnf(matrix-6728, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), hAPP(hAPP(c_List_Onth(_u15661), _u15663), _u15654)), _u15655)), _u15667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15654), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15661)), _u15663))) | ( _u15665 != hAPP(hAPP(c_List_Olist__update(_u15661, _u15663), _u15654), _u15655)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15661), tc_List_Olist(_u15661))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15661), tc_List_Olist(_u15661)), _u15663), _u15665)), c_List_Olistrel1(_u15661, _u15667))) )).
% 12.21/12.47 cnf(matrix-6729, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15668), _u15669)) | hBOOL(hAPP(hAPP(c_member(_u15668), _u15670), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15668, tc_HOL_Obool)), hAPP(c_List_Oset(_u15668), _u15669)), hAPP(hAPP(c_Set_Oinsert(_u15668), hAPP(hAPP(c_List_Onth(_u15668), _u15669), _u15671)), c_Orderings_Obot__class_Obot(tc_fun(_u15668, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15668), hAPP(hAPP(c_List_Olist__update(_u15668, _u15669), _u15671), _u15670))) )).
% 12.21/12.47 cnf(matrix-6730, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15672, _u15673))) )).
% 12.21/12.47 cnf(matrix-6731, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15674), _u15675)) | hBOOL(hAPP(c_List_Odistinct(_u15674), hAPP(hAPP(c_List_Otake(_u15674), _u15676), _u15675))) )).
% 12.21/12.47 cnf(matrix-6732, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15677), _u15678)) | hBOOL(hAPP(c_List_Odistinct(_u15677), c_List_Osublist(_u15677, _u15678, _u15679))) )).
% 12.21/12.47 cnf(matrix-6733, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15680), _u15681)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15680, _u15682)), hAPP(hAPP(c_List_Ozip(_u15680, _u15682), _u15681), _u15683))) )).
% 12.21/12.47 cnf(matrix-6734, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15684), _u15685)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15686, _u15684)), hAPP(hAPP(c_List_Ozip(_u15686, _u15684), _u15687), _u15685))) )).
% 12.21/12.47 cnf(matrix-6735, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15691), hAPP(hAPP(c_List_Olist_OCons(_u15691), _u15693), _u15695))) | ~hBOOL(hAPP(hAPP(c_member(_u15691), _u15693), hAPP(c_List_Oset(_u15691), _u15695))) )).
% 12.21/12.47 cnf(matrix-6736, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15691), hAPP(hAPP(c_List_Olist_OCons(_u15691), _u15693), _u15695))) | hBOOL(hAPP(c_List_Odistinct(_u15691), _u15695)) )).
% 12.21/12.47 cnf(matrix-6737, plain, ( hBOOL(hAPP(hAPP(c_member(_u15692), _u15694), hAPP(c_List_Oset(_u15692), _u15696))) | ~hBOOL(hAPP(c_List_Odistinct(_u15692), _u15696)) | hBOOL(hAPP(c_List_Odistinct(_u15692), hAPP(hAPP(c_List_Olist_OCons(_u15692), _u15694), _u15696))) )).
% 12.21/12.47 cnf(matrix-6738, plain, ( ( hAPP(c_Finite__Set_Ocard(_u15697), hAPP(c_List_Oset(_u15697), _u15698)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15697)), _u15698)) | hBOOL(hAPP(c_List_Odistinct(_u15697), _u15698)) )).
% 12.21/12.47 cnf(matrix-6739, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15699), _u15700)) | ( hAPP(c_Finite__Set_Ocard(_u15699), hAPP(c_List_Oset(_u15699), _u15700)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15699)), _u15700)) )).
% 12.21/12.47 cnf(matrix-6740, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15707), _u15709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15702), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15707)), _u15709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15701), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15707)), _u15709))) | ( _u15702 = _u15701) | ( hAPP(hAPP(c_List_Onth(_u15707), _u15709), _u15702) != hAPP(hAPP(c_List_Onth(_u15707), _u15709), _u15701)) )).
% 12.21/12.47 cnf(matrix-6741, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15708), _u15710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem413(_u15710, _u15708)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15708)), _u15710))) )).
% 12.21/12.47 cnf(matrix-6742, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15708), _u15710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem414(_u15710, _u15708)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15708)), _u15710))) )).
% 12.21/12.47 cnf(matrix-6743, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15708), _u15710)) | ( skolem413(_u15710, _u15708) != skolem414(_u15710, _u15708)) )).
% 12.21/12.47 cnf(matrix-6744, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15708), _u15710)) | ( hAPP(hAPP(c_List_Onth(_u15708), _u15710), skolem413(_u15710, _u15708)) = hAPP(hAPP(c_List_Onth(_u15708), _u15710), skolem414(_u15710, _u15708))) )).
% 12.21/12.47 cnf(matrix-6745, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15711), _u15712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15713), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15711)), _u15712))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15714), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15711)), _u15712))) | ( hAPP(hAPP(c_List_Onth(_u15711), _u15712), _u15713) != hAPP(hAPP(c_List_Onth(_u15711), _u15712), _u15714)) | ( _u15713 = _u15714) )).
% 12.21/12.47 cnf(matrix-6746, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15711), _u15712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15713), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15711)), _u15712))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15714), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15711)), _u15712))) | ( _u15713 != _u15714) | ( hAPP(hAPP(c_List_Onth(_u15711), _u15712), _u15713) = hAPP(hAPP(c_List_Onth(_u15711), _u15712), _u15714)) )).
% 12.21/12.47 cnf(matrix-6747, plain, ( ~class_Groups_Ocomm__monoid__add(_u15715) | ~hBOOL(hAPP(c_List_Odistinct(_u15715), _u15716)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15715), _u15716) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15715, _u15715), c_COMBI(_u15715)), hAPP(c_List_Oset(_u15715), _u15716))) )).
% 12.21/12.47 cnf(matrix-6748, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15719), _u15721)) | ( c_Nitpick_Ocard_H(_u15719, _u15721) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15719)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15719), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15719), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15719)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15719), tc_fun(_u15719, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15719, tc_HOL_Obool), tc_fun(tc_fun(_u15719, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15719)), c_fequal), c_List_Oset(_u15719))), _u15721))), c_List_Odistinct(_u15719))))) )).
% 12.21/12.47 cnf(matrix-6749, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15720), _u15722)) | ( c_Nitpick_Ocard_H(_u15720, _u15722) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15725)), _u15726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15725)), _u15727))) | ( hAPP(hAPP(c_List_Otake(_u15725), _u15724), _u15726) = hAPP(hAPP(c_List_Otake(_u15725), _u15724), _u15727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u15727, _u15726, _u15725, _u15724)), _u15724)) )).
% 12.21/12.47 cnf(matrix-6751, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15725)), _u15726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15725)), _u15727))) | ( hAPP(hAPP(c_List_Otake(_u15725), _u15724), _u15726) = hAPP(hAPP(c_List_Otake(_u15725), _u15724), _u15727)) | ( hAPP(hAPP(c_List_Onth(_u15725), _u15726), skolem415(_u15727, _u15726, _u15725, _u15724)) != hAPP(hAPP(c_List_Onth(_u15725), _u15727), skolem415(_u15727, _u15726, _u15725, _u15724))) )).
% 12.21/12.47 cnf(matrix-6752, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15728), _u15729)) | ( hAPP(c_List_Oset(_u15728), c_List_Oremove1(_u15728, _u15730, _u15729)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15728, tc_HOL_Obool)), hAPP(c_List_Oset(_u15728), _u15729)), hAPP(hAPP(c_Set_Oinsert(_u15728), _u15730), c_Orderings_Obot__class_Obot(tc_fun(_u15728, tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-6753, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15735) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15737), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15735)), hAPP(hAPP(c_List_Olist_OCons(_u15737), _u15739), _u15741)) = c_List_Olist_ONil(_u15737)) )).
% 12.21/12.47 cnf(matrix-6754, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15736) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15738), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15736)), hAPP(hAPP(c_List_Olist_OCons(_u15738), _u15740), _u15742)) = hAPP(hAPP(c_List_Olist_OCons(_u15738), _u15740), hAPP(hAPP(c_List_Otake(_u15738), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15736)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15742))) )).
% 12.21/12.47 cnf(matrix-6755, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15743)), c_List_Olist_ONil(_u15743)), c_List_Olists(_u15743, _u15744))) )).
% 12.21/12.47 cnf(matrix-6756, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15745), tc_List_Olist(_u15745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15745), tc_List_Olist(_u15745)), c_List_Olist_ONil(_u15745)), _u15746)), c_List_Olistrel(_u15745, _u15747))) | ( _u15746 = c_List_Olist_ONil(_u15745)) )).
% 12.21/12.47 cnf(matrix-6757, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15748), tc_List_Olist(_u15748))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15748), tc_List_Olist(_u15748)), _u15749), c_List_Olist_ONil(_u15748))), c_List_Olistrel(_u15748, _u15750))) | ( _u15749 = c_List_Olist_ONil(_u15748)) )).
% 12.21/12.47 cnf(matrix-6758, plain, ( ( _u15751 = c_List_Olist_ONil(_u15752)) | ~hBOOL(hAPP(c_List_Odistinct(_u15752), _u15751)) | hBOOL(hAPP(c_List_Odistinct(_u15752), c_List_Obutlast(_u15752, _u15751))) )).
% 12.21/12.47 cnf(matrix-6759, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15753), _u15754)) | hBOOL(hAPP(c_List_Odistinct(_u15753), c_List_Oremove1(_u15753, _u15755, _u15754))) )).
% 12.21/12.47 cnf(matrix-6760, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15756), c_List_Olist_ONil(_u15756))) )).
% 12.21/12.47 cnf(matrix-6761, plain, ( ( c_List_Obutlast(_u15757, c_List_Olist_ONil(_u15757)) = c_List_Olist_ONil(_u15757)) )).
% 12.21/12.47 cnf(matrix-6762, plain, ( ( _u15761 != c_List_Olist_ONil(_u15763)) | ( c_List_Obutlast(_u15763, hAPP(hAPP(c_List_Olist_OCons(_u15763), _u15765), _u15761)) = c_List_Olist_ONil(_u15763)) )).
% 12.21/12.47 cnf(matrix-6763, plain, ( ( _u15762 = c_List_Olist_ONil(_u15764)) | ( c_List_Obutlast(_u15764, hAPP(hAPP(c_List_Olist_OCons(_u15764), _u15766), _u15762)) = hAPP(hAPP(c_List_Olist_OCons(_u15764), _u15766), c_List_Obutlast(_u15764, _u15762))) )).
% 12.21/12.47 cnf(matrix-6764, plain, ( ( c_List_Olist_ONil(_u15767) != hAPP(hAPP(c_List_Olist_OCons(_u15767), _u15768), _u15769)) )).
% 12.21/12.47 cnf(matrix-6765, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15770), _u15771), _u15772) != c_List_Olist_ONil(_u15770)) )).
% 12.21/12.47 cnf(matrix-6766, plain, ( ( _u15777 != _u15779) | ( c_List_Oremove1(_u15781, _u15777, hAPP(hAPP(c_List_Olist_OCons(_u15781), _u15779), _u15783)) = _u15783) )).
% 12.21/12.47 cnf(matrix-6767, plain, ( ( _u15778 = _u15780) | ( c_List_Oremove1(_u15782, _u15778, hAPP(hAPP(c_List_Olist_OCons(_u15782), _u15780), _u15784)) = hAPP(hAPP(c_List_Olist_OCons(_u15782), _u15780), c_List_Oremove1(_u15782, _u15778, _u15784))) )).
% 12.21/12.47 cnf(matrix-6768, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15785), _u15786)) | ( c_List_Oupto(_u15786, _u15785) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-6769, plain, ( ( hAPP(hAPP(c_List_Otake(_u15790), _u15792), _u15794) != c_List_Olist_ONil(_u15790)) | ( _u15792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15794 = c_List_Olist_ONil(_u15790)) )).
% 12.21/12.47 cnf(matrix-6770, plain, ( ( hAPP(hAPP(c_List_Otake(_u15791), _u15793), _u15795) = c_List_Olist_ONil(_u15791)) | ( _u15793 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6771, plain, ( ( hAPP(hAPP(c_List_Otake(_u15791), _u15793), _u15795) = c_List_Olist_ONil(_u15791)) | ( _u15795 != c_List_Olist_ONil(_u15791)) )).
% 12.21/12.47 cnf(matrix-6772, plain, ( ( hAPP(hAPP(c_List_Otake(_u15796), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15797) = c_List_Olist_ONil(_u15796)) )).
% 12.21/12.47 cnf(matrix-6773, plain, ( ( hAPP(hAPP(c_List_Otake(_u15798), _u15799), c_List_Olist_ONil(_u15798)) = c_List_Olist_ONil(_u15798)) )).
% 12.21/12.47 cnf(matrix-6774, plain, ( ( c_List_Osublist(_u15800, c_List_Olist_ONil(_u15800), _u15801) = c_List_Olist_ONil(_u15800)) )).
% 12.21/12.47 cnf(matrix-6775, plain, ( ( c_List_Oremove1(_u15802, _u15803, c_List_Oremove1(_u15802, _u15804, _u15805)) = c_List_Oremove1(_u15802, _u15804, c_List_Oremove1(_u15802, _u15803, _u15805))) )).
% 12.21/12.47 cnf(matrix-6776, plain, ( ( c_List_Oremove1(_u15806, _u15807, c_List_Olist_ONil(_u15806)) = c_List_Olist_ONil(_u15806)) )).
% 12.21/12.47 cnf(matrix-6777, plain, ( c_List_Olistrelp(_u15808, _u15809, c_List_Olist_ONil(_u15808), c_List_Olist_ONil(_u15808)) )).
% 12.21/12.47 cnf(matrix-6778, plain, ( c_List_Olistrelp(_u15810, _u15811, c_List_Olist_ONil(_u15810), c_List_Olist_ONil(_u15810)) )).
% 12.21/12.47 cnf(matrix-6779, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15812, _u15813), c_List_Olist_ONil(_u15812)), _u15814) = c_List_Olist_ONil(tc_prod(_u15812, _u15813))) )).
% 12.21/12.47 cnf(matrix-6780, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15815, _u15816), _u15817), c_List_Olist_ONil(_u15816)) = c_List_Olist_ONil(tc_prod(_u15815, _u15816))) )).
% 12.21/12.47 cnf(matrix-6781, plain, ( ~class_Groups_Omonoid__add(_u15818) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15818), c_List_Olist_ONil(_u15818)) = c_Groups_Ozero__class_Ozero(_u15818)) )).
% 12.21/12.47 cnf(matrix-6782, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15821)), _u15823) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15823 = c_List_Olist_ONil(_u15821)) )).
% 12.21/12.47 cnf(matrix-6783, plain, ( ( _u15824 != c_List_Olist_ONil(_u15822)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15822)), _u15824) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6784, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15825)), c_List_Olist_ONil(_u15825)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6785, plain, ( ( hAPP(c_List_Oset(_u15828), _u15830) != c_Orderings_Obot__class_Obot(tc_fun(_u15828, tc_HOL_Obool))) | ( _u15830 = c_List_Olist_ONil(_u15828)) )).
% 12.21/12.47 cnf(matrix-6786, plain, ( ( _u15831 != c_List_Olist_ONil(_u15829)) | ( hAPP(c_List_Oset(_u15829), _u15831) = c_Orderings_Obot__class_Obot(tc_fun(_u15829, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6787, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u15834, tc_HOL_Obool)) != hAPP(c_List_Oset(_u15834), _u15836)) | ( _u15836 = c_List_Olist_ONil(_u15834)) )).
% 12.21/12.47 cnf(matrix-6788, plain, ( ( _u15837 != c_List_Olist_ONil(_u15835)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u15835, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15835), _u15837)) )).
% 12.21/12.47 cnf(matrix-6789, plain, ( ( hAPP(c_List_Oset(_u15838), c_List_Olist_ONil(_u15838)) = c_Orderings_Obot__class_Obot(tc_fun(_u15838, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6790, plain, ( ( c_List_Olist_Olist__size(_u15839, _u15840, c_List_Olist_ONil(_u15839)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6791, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15841, c_List_Olist_ONil(_u15841)), _u15842), _u15843) = c_List_Olist_ONil(_u15841)) )).
% 12.21/12.47 cnf(matrix-6792, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15844, c_List_Olist_ONil(_u15844)), _u15845), _u15846) = c_List_Olist_ONil(_u15844)) )).
% 12.21/12.47 cnf(matrix-6793, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15851, _u15853), _u15855), _u15857) != c_List_Olist_ONil(_u15851)) | ( _u15853 = c_List_Olist_ONil(_u15851)) )).
% 12.21/12.47 cnf(matrix-6794, plain, ( ( _u15854 != c_List_Olist_ONil(_u15852)) | ( hAPP(hAPP(c_List_Olist__update(_u15852, _u15854), _u15856), _u15858) = c_List_Olist_ONil(_u15852)) )).
% 12.21/12.47 cnf(matrix-6795, plain, ( hBOOL(hAPP(hAPP(c_member(_u15859), _u15860), hAPP(c_List_Oset(_u15859), _u15861))) | ( c_List_Oremove1(_u15859, _u15860, _u15861) = _u15861) )).
% 12.21/12.47 cnf(matrix-6796, plain, ( hBOOL(hAPP(hAPP(c_member(_u15862), _u15863), hAPP(c_List_Oset(_u15862), _u15864))) | ~hBOOL(hAPP(hAPP(c_member(_u15862), _u15863), hAPP(c_List_Oset(_u15862), c_List_Oremove1(_u15862, _u15865, _u15864)))) )).
% 12.21/12.47 cnf(matrix-6797, plain, ( ( _u15866 = _u15867) | ~hBOOL(hAPP(hAPP(c_member(_u15868), _u15866), hAPP(c_List_Oset(_u15868), c_List_Oremove1(_u15868, _u15867, _u15869)))) | hBOOL(hAPP(hAPP(c_member(_u15868), _u15866), hAPP(c_List_Oset(_u15868), _u15869))) )).
% 12.21/12.47 cnf(matrix-6798, plain, ( ( _u15866 = _u15867) | ~hBOOL(hAPP(hAPP(c_member(_u15868), _u15866), hAPP(c_List_Oset(_u15868), _u15869))) | hBOOL(hAPP(hAPP(c_member(_u15868), _u15866), hAPP(c_List_Oset(_u15868), c_List_Oremove1(_u15868, _u15867, _u15869)))) )).
% 12.21/12.47 cnf(matrix-6799, plain, ( ( c_List_Osublist(_u15870, _u15871, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u15870)) )).
% 12.21/12.47 cnf(matrix-6800, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15872, tc_HOL_Obool)), hAPP(c_List_Oset(_u15872), c_List_Oremove1(_u15872, _u15873, _u15874))), hAPP(c_List_Oset(_u15872), _u15874))) )).
% 12.21/12.47 cnf(matrix-6801, 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(_u15877)), _u15879))) | ( _u15879 != c_List_Olist_ONil(_u15877)) )).
% 12.21/12.47 cnf(matrix-6802, plain, ( ( _u15880 = c_List_Olist_ONil(_u15878)) | 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(_u15878)), _u15880))) )).
% 12.21/12.47 cnf(matrix-6803, plain, ( ( hAPP(hAPP(c_List_Otake(_u15881), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u15881), _u15882), _u15883)) = hAPP(hAPP(c_List_Olist_OCons(_u15881), _u15882), c_List_Olist_ONil(_u15881))) )).
% 12.21/12.47 cnf(matrix-6804, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15884), tc_List_Olist(_u15884))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15884), tc_List_Olist(_u15884)), c_List_Olist_ONil(_u15884)), _u15885)), c_List_Olistrel1(_u15884, _u15886))) )).
% 12.21/12.47 cnf(matrix-6805, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15887), tc_List_Olist(_u15887))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15887), tc_List_Olist(_u15887)), _u15888), c_List_Olist_ONil(_u15887))), c_List_Olistrel1(_u15887, _u15889))) )).
% 12.21/12.47 cnf(matrix-6806, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15890), tc_List_Olist(_u15890))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15890), tc_List_Olist(_u15890)), c_List_Olist_ONil(_u15890)), c_List_Olist_ONil(_u15890))), c_List_Olistrel(_u15890, _u15891))) )).
% 12.21/12.47 cnf(matrix-6807, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15892), tc_List_Olist(_u15892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15892), tc_List_Olist(_u15892)), _u15893), c_List_Olist_ONil(_u15892))), c_List_Olexord(_u15892, _u15894))) )).
% 12.21/12.47 cnf(matrix-6808, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15895), tc_List_Olist(_u15895))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15895), tc_List_Olist(_u15895)), c_List_Olist_ONil(_u15895)), _u15896)), c_List_Olex(_u15895, _u15897))) )).
% 12.21/12.47 cnf(matrix-6809, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15898), tc_List_Olist(_u15898))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15898), tc_List_Olist(_u15898)), _u15899), c_List_Olist_ONil(_u15898))), c_List_Olex(_u15898, _u15900))) )).
% 12.21/12.47 cnf(matrix-6810, plain, ( ( hAPP(hAPP(c_List_Otake(_u15901), _u15902), hAPP(hAPP(c_List_Olist_OCons(_u15901), _u15903), _u15904)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15901), c_List_Olist_ONil(_u15901), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15901), tc_List_Olist(_u15901), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15901), _u15903)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u15901), tc_List_Olist(_u15901)), c_List_Otake(_u15901)), _u15904)), _u15902)) )).
% 12.21/12.47 cnf(matrix-6811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15907), _u15909)) | ( c_List_Oupto(_u15907, _u15909) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15907), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15907), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15909))) )).
% 12.21/12.47 cnf(matrix-6812, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15908), _u15910)) | ( c_List_Oupto(_u15908, _u15910) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-6813, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15914)) | ( c_List_Osublist(_u15916, hAPP(hAPP(c_List_Olist_OCons(_u15916), _u15918), c_List_Olist_ONil(_u15916)), _u15914) = hAPP(hAPP(c_List_Olist_OCons(_u15916), _u15918), c_List_Olist_ONil(_u15916))) )).
% 12.21/12.47 cnf(matrix-6814, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15915)) | ( c_List_Osublist(_u15917, hAPP(hAPP(c_List_Olist_OCons(_u15917), _u15919), c_List_Olist_ONil(_u15917)), _u15915) = c_List_Olist_ONil(_u15917)) )).
% 12.21/12.47 cnf(matrix-6815, plain, ( ( c_List_Olists(_u15920, c_Orderings_Obot__class_Obot(tc_fun(_u15920, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15920)), c_List_Olist_ONil(_u15920)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15920), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-6816, plain, ( ( _u15925 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15927), _u15925), hAPP(hAPP(c_List_Olist_OCons(_u15927), _u15929), _u15931)) = c_List_Olist_ONil(_u15927)) )).
% 12.21/12.47 cnf(matrix-6817, plain, ( ( _u15926 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15928), _u15926), hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932)) = hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), hAPP(hAPP(c_List_Otake(_u15928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15926), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15932))) )).
% 12.21/12.47 cnf(matrix-6818, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15935)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15937))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15935), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15937)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15935)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15935)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15937)))) )).
% 12.21/12.47 cnf(matrix-6819, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15936)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15938))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15936), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15938)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-6820, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15939), tc_List_Olist(_u15939), c_List_Olistrel(_u15939, _u15940)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15939)), c_List_Olist_ONil(_u15939)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15939), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15939)), c_List_Olist_ONil(_u15939)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15939), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-6821, plain, ( ( c_List_Oset__Cons(_u15941, _u15942, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15941)), c_List_Olist_ONil(_u15941)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15941), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u15941, tc_List_Olist(_u15941), hAPP(hAPP(c_COMBC(_u15941, tc_List_Olist(_u15941), tc_List_Olist(_u15941)), c_List_Olist_OCons(_u15941)), c_List_Olist_ONil(_u15941))), _u15942)) )).
% 12.21/12.47 cnf(matrix-6822, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15946), _u15948), hAPP(c_List_Oset(_u15946), _u15950))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15946)), c_List_Oremove1(_u15946, _u15948, _u15950)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15946)), _u15950)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-6823, plain, ( hBOOL(hAPP(hAPP(c_member(_u15947), _u15949), hAPP(c_List_Oset(_u15947), _u15951))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15947)), c_List_Oremove1(_u15947, _u15949, _u15951)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15947)), _u15951)) )).
% 12.21/12.47 cnf(matrix-6824, 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), _u15952), _u15953))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15952), _u15953)) | ( c_List_Oupto(_u15952, _u15953) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15952), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15952), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15953))) )).
% 12.21/12.47 cnf(matrix-6825, 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), _u15952), _u15953))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15952), _u15953)) | ( c_List_Oupto(_u15952, _u15953) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-6826, plain, ( ( _u15954 = c_List_Olist_ONil(_u15955)) | hBOOL(hAPP(hAPP(c_member(_u15955), hAPP(c_Product__Type_Ofst(_u15955, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u15955, _u15954), _u15956))), hAPP(c_List_Oset(_u15955), _u15954))) )).
% 12.21/12.47 cnf(matrix-6827, plain, ( ( c_List_Olistset(_u15957, c_List_Olist_ONil(tc_fun(_u15957, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15957)), c_List_Olist_ONil(_u15957)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15957), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-6828, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15958, _u15959), _u15960), hAPP(hAPP(c_List_Olist_OCons(_u15959), _u15961), _u15962)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15958, _u15959)), _u15958, c_List_Olist_ONil(tc_prod(_u15958, _u15959)), hAPP(hAPP(c_COMBC(_u15958, tc_fun(tc_List_Olist(_u15958), tc_List_Olist(tc_prod(_u15958, _u15959))), tc_fun(tc_List_Olist(_u15958), tc_List_Olist(tc_prod(_u15958, _u15959)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15958, _u15959)), tc_List_Olist(tc_prod(_u15958, _u15959))), tc_fun(tc_fun(tc_List_Olist(_u15958), tc_List_Olist(tc_prod(_u15958, _u15959))), tc_fun(tc_List_Olist(_u15958), tc_List_Olist(tc_prod(_u15958, _u15959)))), _u15958), c_COMBB(tc_List_Olist(tc_prod(_u15958, _u15959)), tc_List_Olist(tc_prod(_u15958, _u15959)), tc_List_Olist(_u15958))), hAPP(hAPP(c_COMBB(tc_prod(_u15958, _u15959), tc_fun(tc_List_Olist(tc_prod(_u15958, _u15959)), tc_List_Olist(tc_prod(_u15958, _u15959))), _u15958), c_List_Olist_OCons(tc_prod(_u15958, _u15959))), hAPP(hAPP(c_COMBC(_u15958, _u15959, tc_prod(_u15958, _u15959)), c_Product__Type_OPair(_u15958, _u15959)), _u15961)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15958), tc_List_Olist(_u15959), tc_List_Olist(tc_prod(_u15958, _u15959))), c_List_Ozip(_u15958, _u15959)), _u15962))), _u15960)) )).
% 12.21/12.47 cnf(matrix-6829, plain, ( ( hAPP(c_List_Olist_Olist__case(_u15963, _u15964, _u15965, _u15966), hAPP(hAPP(c_List_Olist_OCons(_u15964), _u15967), _u15968)) = hAPP(hAPP(_u15966, _u15967), _u15968)) )).
% 12.21/12.47 cnf(matrix-6830, plain, ( ( hAPP(c_List_Olist_Olist__case(_u15969, _u15970, _u15971, _u15972), c_List_Olist_ONil(_u15970)) = _u15971) )).
% 12.21/12.47 cnf(matrix-6831, plain, ( ( c_List_Olistset(_u15973, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u15973, tc_HOL_Obool)), _u15974), _u15975)) = c_List_Oset__Cons(_u15973, _u15974, c_List_Olistset(_u15973, _u15975))) )).
% 12.21/12.47 cnf(matrix-6832, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15976, _u15977), hAPP(hAPP(c_List_Olist_OCons(_u15976), _u15978), _u15979)), _u15980) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15976, _u15977)), _u15977, c_List_Olist_ONil(tc_prod(_u15976, _u15977)), hAPP(hAPP(c_COMBC(_u15977, tc_fun(tc_List_Olist(_u15977), tc_List_Olist(tc_prod(_u15976, _u15977))), tc_fun(tc_List_Olist(_u15977), tc_List_Olist(tc_prod(_u15976, _u15977)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15976, _u15977)), tc_List_Olist(tc_prod(_u15976, _u15977))), tc_fun(tc_fun(tc_List_Olist(_u15977), tc_List_Olist(tc_prod(_u15976, _u15977))), tc_fun(tc_List_Olist(_u15977), tc_List_Olist(tc_prod(_u15976, _u15977)))), _u15977), c_COMBB(tc_List_Olist(tc_prod(_u15976, _u15977)), tc_List_Olist(tc_prod(_u15976, _u15977)), tc_List_Olist(_u15977))), hAPP(hAPP(c_COMBB(tc_prod(_u15976, _u15977), tc_fun(tc_List_Olist(tc_prod(_u15976, _u15977)), tc_List_Olist(tc_prod(_u15976, _u15977))), _u15977), c_List_Olist_OCons(tc_prod(_u15976, _u15977))), hAPP(c_Product__Type_OPair(_u15976, _u15977), _u15978)))), hAPP(c_List_Ozip(_u15976, _u15977), _u15979))), _u15980)) )).
% 12.21/12.47 cnf(matrix-6833, plain, ( ~class_Orderings_Olinorder(_u15981) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15981), _u15982)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15981, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15981, tc_HOL_Obool)), _u15982), hAPP(hAPP(c_Set_Oinsert(_u15981), _u15983), c_Orderings_Obot__class_Obot(tc_fun(_u15981, tc_HOL_Obool))))) = c_List_Oremove1(_u15981, _u15983, c_List_Olinorder__class_Osorted__list__of__set(_u15981, _u15982))) )).
% 12.21/12.47 cnf(matrix-6834, 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), _u15986), _u15987))) | hBOOL(hAPP(hAPP(_u15988, _u15986), _u15987)) | 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), skolem416(_u15988, _u15987, _u15986)), skolem417(_u15988, _u15987, _u15986)))) )).
% 12.21/12.47 cnf(matrix-6835, 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), _u15986), _u15987))) | hBOOL(hAPP(hAPP(_u15988, _u15986), _u15987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem416(_u15988, _u15987, _u15986)), skolem417(_u15988, _u15987, _u15986))) | hBOOL(hAPP(hAPP(_u15988, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem416(_u15988, _u15987, _u15986)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem417(_u15988, _u15987, _u15986))) )).
% 12.21/12.47 cnf(matrix-6836, 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), _u15986), _u15987))) | hBOOL(hAPP(hAPP(_u15988, _u15986), _u15987)) | ~hBOOL(hAPP(hAPP(_u15988, skolem416(_u15988, _u15987, _u15986)), skolem417(_u15988, _u15987, _u15986))) )).
% 12.21/12.47 cnf(matrix-6837, plain, ( ~class_Orderings_Olinorder(_u15989) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15989, c_Orderings_Obot__class_Obot(tc_fun(_u15989, tc_HOL_Obool))) = c_List_Olist_ONil(_u15989)) )).
% 12.21/12.47 cnf(matrix-6838, plain, ( ( _u15995 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15997, _u15999, _u16001), _u15995), _u16003) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15999), _u15997), c_List_Olist_ONil(_u15999)), _u16003)) )).
% 12.21/12.47 cnf(matrix-6839, plain, ( ( _u15996 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15998, _u16000, _u16002), _u15996), _u16004) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16000), _u15998), tc_prod(_u16000, _u15998), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16000), _u15998), c_List_Olist_ONil(_u16000)), _u16004), hAPP(c_Product__Type_Oprod_Oprod__case(_u16000, _u15998, tc_prod(tc_List_Olist(_u16000), _u15998)), hAPP(hAPP(c_COMBC(_u16000, tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998)), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16000), _u15998), tc_prod(tc_List_Olist(_u16000), _u15998)), tc_fun(tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998)), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), _u16000), c_COMBB(tc_prod(tc_List_Olist(_u16000), _u15998), tc_prod(tc_List_Olist(_u16000), _u15998), _u15998)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16000), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), tc_fun(tc_prod(tc_List_Olist(_u16000), _u15998), tc_prod(tc_List_Olist(_u16000), _u15998)), _u16000), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16000), _u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16000), tc_List_Olist(_u16000)), tc_fun(tc_List_Olist(_u16000), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998))), _u16000), hAPP(c_COMBB(tc_List_Olist(_u16000), tc_fun(_u15998, tc_prod(tc_List_Olist(_u16000), _u15998)), tc_List_Olist(_u16000)), c_Product__Type_OPair(tc_List_Olist(_u16000), _u15998))), c_List_Olist_OCons(_u16000))))), hAPP(c_Lazy__Sequence_Oanamorph(_u15998, _u16000, _u16002), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15996), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u16002, _u16004))) )).
% 12.21/12.47 cnf(matrix-6840, plain, ( ( c_List_Osublist(_u16005, hAPP(hAPP(c_List_Olist_OCons(_u16005), _u16006), _u16007), _u16008) = hAPP(hAPP(c_List_Oappend(_u16005), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16005)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16008)), hAPP(hAPP(c_List_Olist_OCons(_u16005), _u16006), c_List_Olist_ONil(_u16005))), c_List_Olist_ONil(_u16005))), c_List_Osublist(_u16005, _u16007, 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)), _u16008))))) )).
% 12.21/12.47 cnf(matrix-6841, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16018 = c_List_Olist_ONil(_u16016)) | ( _u16018 = hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), skolem418(_u16024, _u16022, _u16020, _u16018, _u16016))) )).
% 12.21/12.47 cnf(matrix-6842, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16018 = c_List_Olist_ONil(_u16016)) | ( hAPP(hAPP(c_List_Oappend(_u16016), skolem418(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16020) = _u16024) )).
% 12.21/12.47 cnf(matrix-6843, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16020 = hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16018 = hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), skolem418(_u16024, _u16022, _u16020, _u16018, _u16016))) )).
% 12.21/12.47 cnf(matrix-6844, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( _u16020 = hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16022), _u16024)) | ( hAPP(hAPP(c_List_Oappend(_u16016), skolem418(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16020) = _u16024) )).
% 12.21/12.47 cnf(matrix-6845, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16021) = hAPP(hAPP(c_List_Olist_OCons(_u16017), _u16023), _u16025)) | ( _u16019 != c_List_Olist_ONil(_u16017)) | ( _u16021 != hAPP(hAPP(c_List_Olist_OCons(_u16017), _u16023), _u16025)) )).
% 12.21/12.47 cnf(matrix-6846, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16021) = hAPP(hAPP(c_List_Olist_OCons(_u16017), _u16023), _u16025)) | ( _u16019 != hAPP(hAPP(c_List_Olist_OCons(_u16017), _u16023), _u16010)) | ( hAPP(hAPP(c_List_Oappend(_u16017), _u16010), _u16021) != _u16025) )).
% 12.21/12.47 cnf(matrix-6847, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) != hAPP(hAPP(c_List_Oappend(_u16033), _u16039), _u16041)) | ( _u16039 = c_List_Olist_ONil(_u16033)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), skolem419(_u16041, _u16039, _u16037, _u16035, _u16033)) = _u16039) )).
% 12.21/12.47 cnf(matrix-6848, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) != hAPP(hAPP(c_List_Oappend(_u16033), _u16039), _u16041)) | ( _u16039 = c_List_Olist_ONil(_u16033)) | ( _u16037 = hAPP(hAPP(c_List_Oappend(_u16033), skolem419(_u16041, _u16039, _u16037, _u16035, _u16033)), _u16041)) )).
% 12.21/12.47 cnf(matrix-6849, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) != hAPP(hAPP(c_List_Oappend(_u16033), _u16039), _u16041)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) = _u16041) | ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), skolem419(_u16041, _u16039, _u16037, _u16035, _u16033)) = _u16039) )).
% 12.21/12.47 cnf(matrix-6850, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) != hAPP(hAPP(c_List_Oappend(_u16033), _u16039), _u16041)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16035), _u16037) = _u16041) | ( _u16037 = hAPP(hAPP(c_List_Oappend(_u16033), skolem419(_u16041, _u16039, _u16037, _u16035, _u16033)), _u16041)) )).
% 12.21/12.47 cnf(matrix-6851, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16034), _u16036), _u16038) = hAPP(hAPP(c_List_Oappend(_u16034), _u16040), _u16042)) | ( _u16040 != c_List_Olist_ONil(_u16034)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16034), _u16036), _u16038) != _u16042) )).
% 12.21/12.47 cnf(matrix-6852, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16034), _u16036), _u16038) = hAPP(hAPP(c_List_Oappend(_u16034), _u16040), _u16042)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16034), _u16036), _u16027) != _u16040) | ( _u16038 != hAPP(hAPP(c_List_Oappend(_u16034), _u16027), _u16042)) )).
% 12.21/12.47 cnf(matrix-6853, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16048), _u16050), hAPP(hAPP(c_List_Olist_OCons(_u16048), _u16052), c_List_Olist_ONil(_u16048))) != hAPP(hAPP(c_List_Oappend(_u16048), _u16054), hAPP(hAPP(c_List_Olist_OCons(_u16048), _u16056), c_List_Olist_ONil(_u16048)))) | ( _u16050 = _u16054) )).
% 12.21/12.47 cnf(matrix-6854, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16048), _u16050), hAPP(hAPP(c_List_Olist_OCons(_u16048), _u16052), c_List_Olist_ONil(_u16048))) != hAPP(hAPP(c_List_Oappend(_u16048), _u16054), hAPP(hAPP(c_List_Olist_OCons(_u16048), _u16056), c_List_Olist_ONil(_u16048)))) | ( _u16052 = _u16056) )).
% 12.21/12.47 cnf(matrix-6855, plain, ( ( _u16051 != _u16055) | ( _u16053 != _u16057) | ( hAPP(hAPP(c_List_Oappend(_u16049), _u16051), hAPP(hAPP(c_List_Olist_OCons(_u16049), _u16053), c_List_Olist_ONil(_u16049))) = hAPP(hAPP(c_List_Oappend(_u16049), _u16055), hAPP(hAPP(c_List_Olist_OCons(_u16049), _u16057), c_List_Olist_ONil(_u16049)))) )).
% 12.21/12.47 cnf(matrix-6856, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16058), hAPP(hAPP(c_List_Olist_OCons(_u16058), _u16059), _u16060)), _u16061) = hAPP(hAPP(c_List_Olist_OCons(_u16058), _u16059), hAPP(hAPP(c_List_Oappend(_u16058), _u16060), _u16061))) )).
% 12.21/12.47 cnf(matrix-6857, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16062), _u16063), _u16064) != _u16065) | ( _u16066 != hAPP(hAPP(c_List_Oappend(_u16062), _u16064), _u16067)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16062), _u16063), _u16066) = hAPP(hAPP(c_List_Oappend(_u16062), _u16065), _u16067)) )).
% 12.21/12.47 cnf(matrix-6858, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16072)), hAPP(hAPP(c_List_Oappend(_u16072), _u16074), _u16076)), c_List_Olists(_u16072, _u16078))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16072)), _u16074), c_List_Olists(_u16072, _u16078))) )).
% 12.21/12.47 cnf(matrix-6859, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16072)), hAPP(hAPP(c_List_Oappend(_u16072), _u16074), _u16076)), c_List_Olists(_u16072, _u16078))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16072)), _u16076), c_List_Olists(_u16072, _u16078))) )).
% 12.21/12.47 cnf(matrix-6860, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16073)), _u16075), c_List_Olists(_u16073, _u16079))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16073)), _u16077), c_List_Olists(_u16073, _u16079))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16073)), hAPP(hAPP(c_List_Oappend(_u16073), _u16075), _u16077)), c_List_Olists(_u16073, _u16079))) )).
% 12.21/12.47 cnf(matrix-6861, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16080), _u16081), _u16082) != _u16083) | ( _u16084 != hAPP(hAPP(c_List_Oappend(_u16080), _u16082), _u16085)) | ( hAPP(hAPP(c_List_Oappend(_u16080), _u16081), _u16084) = hAPP(hAPP(c_List_Oappend(_u16080), _u16083), _u16085)) )).
% 12.21/12.47 cnf(matrix-6862, plain, ( ( _u16092 = _u16096) | ( hAPP(hAPP(c_List_Oappend(_u16090), _u16092), _u16094) != hAPP(hAPP(c_List_Oappend(_u16090), _u16096), _u16094)) )).
% 12.21/12.47 cnf(matrix-6863, plain, ( ( _u16093 != _u16097) | ( hAPP(hAPP(c_List_Oappend(_u16091), _u16093), _u16095) = hAPP(hAPP(c_List_Oappend(_u16091), _u16097), _u16095)) )).
% 12.21/12.47 cnf(matrix-6864, plain, ( ( _u16106 = _u16108) | ( hAPP(hAPP(c_List_Oappend(_u16102), _u16104), _u16106) != hAPP(hAPP(c_List_Oappend(_u16102), _u16104), _u16108)) )).
% 12.21/12.47 cnf(matrix-6865, plain, ( ( _u16107 != _u16109) | ( hAPP(hAPP(c_List_Oappend(_u16103), _u16105), _u16107) = hAPP(hAPP(c_List_Oappend(_u16103), _u16105), _u16109)) )).
% 12.21/12.47 cnf(matrix-6866, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125) != hAPP(hAPP(c_List_Oappend(_u16121), _u16127), _u16129)) | ( _u16123 = hAPP(hAPP(c_List_Oappend(_u16121), _u16127), skolem420(_u16129, _u16127, _u16125, _u16123, _u16121))) | ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), skolem421(_u16129, _u16127, _u16125, _u16123, _u16121)) = _u16127) )).
% 12.21/12.47 cnf(matrix-6867, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125) != hAPP(hAPP(c_List_Oappend(_u16121), _u16127), _u16129)) | ( _u16123 = hAPP(hAPP(c_List_Oappend(_u16121), _u16127), skolem420(_u16129, _u16127, _u16125, _u16123, _u16121))) | ( _u16125 = hAPP(hAPP(c_List_Oappend(_u16121), skolem421(_u16129, _u16127, _u16125, _u16123, _u16121)), _u16129)) )).
% 12.21/12.47 cnf(matrix-6868, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125) != hAPP(hAPP(c_List_Oappend(_u16121), _u16127), _u16129)) | ( hAPP(hAPP(c_List_Oappend(_u16121), skolem420(_u16129, _u16127, _u16125, _u16123, _u16121)), _u16125) = _u16129) | ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), skolem421(_u16129, _u16127, _u16125, _u16123, _u16121)) = _u16127) )).
% 12.21/12.47 cnf(matrix-6869, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125) != hAPP(hAPP(c_List_Oappend(_u16121), _u16127), _u16129)) | ( hAPP(hAPP(c_List_Oappend(_u16121), skolem420(_u16129, _u16127, _u16125, _u16123, _u16121)), _u16125) = _u16129) | ( _u16125 = hAPP(hAPP(c_List_Oappend(_u16121), skolem421(_u16129, _u16127, _u16125, _u16123, _u16121)), _u16129)) )).
% 12.21/12.47 cnf(matrix-6870, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16122), _u16124), _u16126) = hAPP(hAPP(c_List_Oappend(_u16122), _u16128), _u16130)) | ( _u16124 != hAPP(hAPP(c_List_Oappend(_u16122), _u16128), _u16119)) | ( hAPP(hAPP(c_List_Oappend(_u16122), _u16119), _u16126) != _u16130) )).
% 12.21/12.47 cnf(matrix-6871, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16122), _u16124), _u16126) = hAPP(hAPP(c_List_Oappend(_u16122), _u16128), _u16130)) | ( hAPP(hAPP(c_List_Oappend(_u16122), _u16124), _u16120) != _u16128) | ( _u16126 != hAPP(hAPP(c_List_Oappend(_u16122), _u16120), _u16130)) )).
% 12.21/12.47 cnf(matrix-6872, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16131), hAPP(hAPP(c_List_Oappend(_u16131), _u16132), _u16133)), _u16134) = hAPP(hAPP(c_List_Oappend(_u16131), _u16132), hAPP(hAPP(c_List_Oappend(_u16131), _u16133), _u16134))) )).
% 12.21/12.47 cnf(matrix-6873, plain, ( ~class_Groups_Omonoid__add(_u16135) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16135), hAPP(hAPP(c_List_Oappend(_u16135), _u16136), _u16137)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16135), hAPP(c_List_Omonoid__add__class_Olistsum(_u16135), _u16136)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16135), _u16137))) )).
% 12.21/12.47 cnf(matrix-6874, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16138)), hAPP(hAPP(c_List_Oappend(_u16138), _u16139), _u16140)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16138)), _u16139)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16138)), _u16140))) )).
% 12.21/12.47 cnf(matrix-6875, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16141)), _u16142) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16143)), _u16144)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16141)), _u16145) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16143)), _u16146)) | ( hAPP(hAPP(c_List_Ozip(_u16141, _u16143), hAPP(hAPP(c_List_Oappend(_u16141), _u16142), _u16145)), hAPP(hAPP(c_List_Oappend(_u16143), _u16144), _u16146)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16141, _u16143)), hAPP(hAPP(c_List_Ozip(_u16141, _u16143), _u16142), _u16144)), hAPP(hAPP(c_List_Ozip(_u16141, _u16143), _u16145), _u16146))) )).
% 12.21/12.47 cnf(matrix-6876, plain, ( ( hAPP(c_List_Oset(_u16147), hAPP(hAPP(c_List_Oappend(_u16147), _u16148), _u16149)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16147, tc_HOL_Obool)), hAPP(c_List_Oset(_u16147), _u16148)), hAPP(c_List_Oset(_u16147), _u16149))) )).
% 12.21/12.47 cnf(matrix-6877, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16150), c_List_Olist_ONil(_u16150)), _u16151) = _u16151) )).
% 12.21/12.47 cnf(matrix-6878, plain, ( ( c_List_Olist_ONil(_u16155) != hAPP(hAPP(c_List_Oappend(_u16155), _u16157), _u16159)) | ( _u16157 = c_List_Olist_ONil(_u16155)) )).
% 12.21/12.47 cnf(matrix-6879, plain, ( ( c_List_Olist_ONil(_u16155) != hAPP(hAPP(c_List_Oappend(_u16155), _u16157), _u16159)) | ( _u16159 = c_List_Olist_ONil(_u16155)) )).
% 12.21/12.47 cnf(matrix-6880, plain, ( ( _u16158 != c_List_Olist_ONil(_u16156)) | ( _u16160 != c_List_Olist_ONil(_u16156)) | ( c_List_Olist_ONil(_u16156) = hAPP(hAPP(c_List_Oappend(_u16156), _u16158), _u16160)) )).
% 12.21/12.47 cnf(matrix-6881, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16161), _u16162), c_List_Olist_ONil(_u16161)) = _u16162) )).
% 12.21/12.47 cnf(matrix-6882, plain, ( ( _u16170 = c_List_Olist_ONil(_u16168)) | ( _u16166 != hAPP(hAPP(c_List_Oappend(_u16168), _u16166), _u16170)) )).
% 12.21/12.47 cnf(matrix-6883, plain, ( ( _u16171 != c_List_Olist_ONil(_u16169)) | ( _u16167 = hAPP(hAPP(c_List_Oappend(_u16169), _u16167), _u16171)) )).
% 12.21/12.47 cnf(matrix-6884, plain, ( ( _u16179 = c_List_Olist_ONil(_u16177)) | ( _u16175 != hAPP(hAPP(c_List_Oappend(_u16177), _u16179), _u16175)) )).
% 12.21/12.47 cnf(matrix-6885, plain, ( ( _u16180 != c_List_Olist_ONil(_u16178)) | ( _u16176 = hAPP(hAPP(c_List_Oappend(_u16178), _u16180), _u16176)) )).
% 12.21/12.47 cnf(matrix-6886, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16184), _u16186), _u16188) != c_List_Olist_ONil(_u16184)) | ( _u16186 = c_List_Olist_ONil(_u16184)) )).
% 12.21/12.47 cnf(matrix-6887, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16184), _u16186), _u16188) != c_List_Olist_ONil(_u16184)) | ( _u16188 = c_List_Olist_ONil(_u16184)) )).
% 12.21/12.47 cnf(matrix-6888, plain, ( ( _u16187 != c_List_Olist_ONil(_u16185)) | ( _u16189 != c_List_Olist_ONil(_u16185)) | ( hAPP(hAPP(c_List_Oappend(_u16185), _u16187), _u16189) = c_List_Olist_ONil(_u16185)) )).
% 12.21/12.47 cnf(matrix-6889, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16193), _u16195), _u16197) != _u16195) | ( _u16197 = c_List_Olist_ONil(_u16193)) )).
% 12.21/12.47 cnf(matrix-6890, plain, ( ( _u16198 != c_List_Olist_ONil(_u16194)) | ( hAPP(hAPP(c_List_Oappend(_u16194), _u16196), _u16198) = _u16196) )).
% 12.21/12.47 cnf(matrix-6891, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16202), _u16204), _u16206) != _u16206) | ( _u16204 = c_List_Olist_ONil(_u16202)) )).
% 12.21/12.47 cnf(matrix-6892, plain, ( ( _u16205 != c_List_Olist_ONil(_u16203)) | ( hAPP(hAPP(c_List_Oappend(_u16203), _u16205), _u16207) = _u16207) )).
% 12.21/12.47 cnf(matrix-6893, plain, ( ( _u16208 != _u16209) | ( _u16208 = hAPP(hAPP(c_List_Oappend(_u16210), c_List_Olist_ONil(_u16210)), _u16209)) )).
% 12.21/12.47 cnf(matrix-6894, plain, ( ( _u16214 != c_List_Olist_ONil(_u16216)) | ( c_List_Obutlast(_u16216, hAPP(hAPP(c_List_Oappend(_u16216), _u16218), _u16214)) = c_List_Obutlast(_u16216, _u16218)) )).
% 12.21/12.47 cnf(matrix-6895, plain, ( ( _u16215 = c_List_Olist_ONil(_u16217)) | ( c_List_Obutlast(_u16217, hAPP(hAPP(c_List_Oappend(_u16217), _u16219), _u16215)) = hAPP(hAPP(c_List_Oappend(_u16217), _u16219), c_List_Obutlast(_u16217, _u16215))) )).
% 12.21/12.47 cnf(matrix-6896, plain, ( ( hAPP(hAPP(c_List_Onth(_u16220), hAPP(hAPP(c_List_Oappend(_u16220), _u16221), hAPP(hAPP(c_List_Olist_OCons(_u16220), _u16222), _u16223))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16220)), _u16221)) = _u16222) )).
% 12.21/12.47 cnf(matrix-6897, plain, ( ( hAPP(hAPP(c_List_Onth(_u16224), hAPP(hAPP(c_List_Oappend(_u16224), _u16225), _u16226)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16224)), _u16225)), _u16227)) = hAPP(hAPP(c_List_Onth(_u16224), _u16226), _u16227)) )).
% 12.21/12.47 cnf(matrix-6898, plain, ( ( hAPP(hAPP(c_List_Otake(_u16228), _u16229), hAPP(hAPP(c_List_Oappend(_u16228), _u16230), _u16231)) = hAPP(hAPP(c_List_Oappend(_u16228), hAPP(hAPP(c_List_Otake(_u16228), _u16229), _u16230)), hAPP(hAPP(c_List_Otake(_u16228), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16229), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16228)), _u16230))), _u16231))) )).
% 12.21/12.47 cnf(matrix-6899, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16233)), _u16234))) | ( hAPP(hAPP(c_List_Olist__update(_u16233, hAPP(hAPP(c_List_Oappend(_u16233), _u16234), _u16235)), _u16232), _u16236) = hAPP(hAPP(c_List_Oappend(_u16233), hAPP(hAPP(c_List_Olist__update(_u16233, _u16234), _u16232), _u16236)), _u16235)) )).
% 12.21/12.47 cnf(matrix-6900, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16237, hAPP(hAPP(c_List_Oappend(_u16237), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16237), _u16239), _u16240))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16237)), _u16238)), _u16241) = hAPP(hAPP(c_List_Oappend(_u16237), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16237), _u16241), _u16240))) )).
% 12.21/12.47 cnf(matrix-6901, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16246), _u16248), hAPP(c_List_Oset(_u16246), _u16250))) | ( c_List_Oremove1(_u16246, _u16248, hAPP(hAPP(c_List_Oappend(_u16246), _u16250), _u16252)) = hAPP(hAPP(c_List_Oappend(_u16246), c_List_Oremove1(_u16246, _u16248, _u16250)), _u16252)) )).
% 12.21/12.47 cnf(matrix-6902, plain, ( hBOOL(hAPP(hAPP(c_member(_u16247), _u16249), hAPP(c_List_Oset(_u16247), _u16251))) | ( c_List_Oremove1(_u16247, _u16249, hAPP(hAPP(c_List_Oappend(_u16247), _u16251), _u16253)) = hAPP(hAPP(c_List_Oappend(_u16247), _u16251), c_List_Oremove1(_u16247, _u16249, _u16253))) )).
% 12.21/12.47 cnf(matrix-6903, plain, ( hBOOL(hAPP(hAPP(c_member(_u16254), _u16255), hAPP(c_List_Oset(_u16254), c_List_Obutlast(_u16254, hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16257))))) | ~hBOOL(hAPP(hAPP(c_member(_u16254), _u16255), hAPP(c_List_Oset(_u16254), c_List_Obutlast(_u16254, _u16256)))) )).
% 12.21/12.47 cnf(matrix-6904, plain, ( hBOOL(hAPP(hAPP(c_member(_u16254), _u16255), hAPP(c_List_Oset(_u16254), c_List_Obutlast(_u16254, hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16257))))) | ~hBOOL(hAPP(hAPP(c_member(_u16254), _u16255), hAPP(c_List_Oset(_u16254), c_List_Obutlast(_u16254, _u16257)))) )).
% 12.21/12.47 cnf(matrix-6905, plain, ( ( c_List_Obutlast(_u16258, hAPP(hAPP(c_List_Oappend(_u16258), _u16259), hAPP(hAPP(c_List_Olist_OCons(_u16258), _u16260), c_List_Olist_ONil(_u16258)))) = _u16259) )).
% 12.21/12.47 cnf(matrix-6906, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16261), tc_List_Olist(_u16261))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16261), tc_List_Olist(_u16261)), hAPP(hAPP(c_List_Oappend(_u16261), _u16262), _u16265)), hAPP(hAPP(c_List_Oappend(_u16261), _u16263), _u16266))), c_List_Olistrel1(_u16261, _u16264))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16261), tc_List_Olist(_u16261))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16261), tc_List_Olist(_u16261)), _u16262), _u16263)), c_List_Olistrel1(_u16261, _u16264))) | ( _u16265 != _u16266) )).
% 12.21/12.47 cnf(matrix-6907, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16261), tc_List_Olist(_u16261))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16261), tc_List_Olist(_u16261)), hAPP(hAPP(c_List_Oappend(_u16261), _u16262), _u16265)), hAPP(hAPP(c_List_Oappend(_u16261), _u16263), _u16266))), c_List_Olistrel1(_u16261, _u16264))) | ( _u16262 != _u16263) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16261), tc_List_Olist(_u16261))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16261), tc_List_Olist(_u16261)), _u16265), _u16266)), c_List_Olistrel1(_u16261, _u16264))) )).
% 12.21/12.47 cnf(matrix-6908, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16267), tc_List_Olist(_u16267))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16267), tc_List_Olist(_u16267)), _u16268), _u16269)), c_List_Olexord(_u16267, _u16270))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16267), tc_List_Olist(_u16267))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16267), tc_List_Olist(_u16267)), hAPP(hAPP(c_List_Oappend(_u16267), _u16271), _u16268)), hAPP(hAPP(c_List_Oappend(_u16267), _u16271), _u16269))), c_List_Olexord(_u16267, _u16270))) )).
% 12.21/12.47 cnf(matrix-6909, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16275), hAPP(hAPP(c_List_Oappend(_u16275), _u16277), _u16279))) | hBOOL(hAPP(c_List_Odistinct(_u16275), _u16277)) )).
% 12.21/12.47 cnf(matrix-6910, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16275), hAPP(hAPP(c_List_Oappend(_u16275), _u16277), _u16279))) | hBOOL(hAPP(c_List_Odistinct(_u16275), _u16279)) )).
% 12.21/12.47 cnf(matrix-6911, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16275), hAPP(hAPP(c_List_Oappend(_u16275), _u16277), _u16279))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16275, tc_HOL_Obool)), hAPP(c_List_Oset(_u16275), _u16277)), hAPP(c_List_Oset(_u16275), _u16279)) = c_Orderings_Obot__class_Obot(tc_fun(_u16275, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6912, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16276), _u16278)) | ~hBOOL(hAPP(c_List_Odistinct(_u16276), _u16280)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16276, tc_HOL_Obool)), hAPP(c_List_Oset(_u16276), _u16278)), hAPP(c_List_Oset(_u16276), _u16280)) != c_Orderings_Obot__class_Obot(tc_fun(_u16276, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16276), hAPP(hAPP(c_List_Oappend(_u16276), _u16278), _u16280))) )).
% 12.21/12.47 cnf(matrix-6913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16287)), _u16289))) | ( hAPP(hAPP(c_List_Onth(_u16287), hAPP(hAPP(c_List_Oappend(_u16287), _u16289), _u16291)), _u16285) = hAPP(hAPP(c_List_Onth(_u16287), _u16289), _u16285)) )).
% 12.21/12.47 cnf(matrix-6914, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16286), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16288)), _u16290))) | ( hAPP(hAPP(c_List_Onth(_u16288), hAPP(hAPP(c_List_Oappend(_u16288), _u16290), _u16292)), _u16286) = hAPP(hAPP(c_List_Onth(_u16288), _u16292), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16286), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16288)), _u16290)))) )).
% 12.21/12.47 cnf(matrix-6915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16298), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16300)), _u16302))) | ( hAPP(hAPP(c_List_Olist__update(_u16300, hAPP(hAPP(c_List_Oappend(_u16300), _u16302), _u16304)), _u16298), _u16306) = hAPP(hAPP(c_List_Oappend(_u16300), hAPP(hAPP(c_List_Olist__update(_u16300, _u16302), _u16298), _u16306)), _u16304)) )).
% 12.21/12.47 cnf(matrix-6916, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16299), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16301)), _u16303))) | ( hAPP(hAPP(c_List_Olist__update(_u16301, hAPP(hAPP(c_List_Oappend(_u16301), _u16303), _u16305)), _u16299), _u16307) = hAPP(hAPP(c_List_Oappend(_u16301), _u16303), hAPP(hAPP(c_List_Olist__update(_u16301, _u16305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16299), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16301)), _u16303))), _u16307))) )).
% 12.21/12.47 cnf(matrix-6917, plain, ( ( c_List_Osublist(_u16308, hAPP(hAPP(c_List_Oappend(_u16308), _u16309), _u16310), _u16311) = hAPP(hAPP(c_List_Oappend(_u16308), c_List_Osublist(_u16308, _u16309, _u16311)), c_List_Osublist(_u16308, _u16310, 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(_u16308)), _u16309)))), _u16311))))) )).
% 12.21/12.47 cnf(matrix-6918, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16312, _u16312)), hAPP(hAPP(c_Product__Type_OPair(_u16312, _u16312), _u16313), _u16314)), _u16315)) | ( _u16316 != hAPP(hAPP(c_List_Oappend(_u16312), _u16317), hAPP(hAPP(c_List_Olist_OCons(_u16312), _u16313), _u16318))) | ( _u16319 != hAPP(hAPP(c_List_Oappend(_u16312), _u16317), hAPP(hAPP(c_List_Olist_OCons(_u16312), _u16314), _u16318))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16312), tc_List_Olist(_u16312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16312), tc_List_Olist(_u16312)), _u16316), _u16319)), c_List_Olistrel1(_u16312, _u16315))) )).
% 12.21/12.47 cnf(matrix-6919, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16320, _u16320)), hAPP(hAPP(c_Product__Type_OPair(_u16320, _u16320), _u16321), _u16322)), _u16323)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16320), tc_List_Olist(_u16320))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16320), tc_List_Olist(_u16320)), hAPP(hAPP(c_List_Oappend(_u16320), _u16324), hAPP(hAPP(c_List_Olist_OCons(_u16320), _u16321), _u16325))), hAPP(hAPP(c_List_Oappend(_u16320), _u16324), hAPP(hAPP(c_List_Olist_OCons(_u16320), _u16322), _u16326)))), c_List_Olexord(_u16320, _u16323))) )).
% 12.21/12.47 cnf(matrix-6920, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16327), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16328)), _u16329))) | ( hAPP(hAPP(c_List_Otake(_u16328), hAPP(c_Nat_OSuc, _u16327)), _u16329) = hAPP(hAPP(c_List_Oappend(_u16328), hAPP(hAPP(c_List_Otake(_u16328), _u16327), _u16329)), hAPP(hAPP(c_List_Olist_OCons(_u16328), hAPP(hAPP(c_List_Onth(_u16328), _u16329), _u16327)), c_List_Olist_ONil(_u16328)))) )).
% 12.21/12.47 cnf(matrix-6921, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16340), c_List_Olist_ONil(_u16336)))), hAPP(hAPP(c_List_Oappend(_u16336), _u16342), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16344), c_List_Olist_ONil(_u16336))))), c_List_Olistrel1(_u16336, _u16346))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), _u16338), _u16342)), c_List_Olistrel1(_u16336, _u16346))) | ( _u16338 = _u16342) )).
% 12.21/12.47 cnf(matrix-6922, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16340), c_List_Olist_ONil(_u16336)))), hAPP(hAPP(c_List_Oappend(_u16336), _u16342), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16344), c_List_Olist_ONil(_u16336))))), c_List_Olistrel1(_u16336, _u16346))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), _u16338), _u16342)), c_List_Olistrel1(_u16336, _u16346))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16336, _u16336)), hAPP(hAPP(c_Product__Type_OPair(_u16336, _u16336), _u16340), _u16344)), _u16346)) )).
% 12.21/12.47 cnf(matrix-6923, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16340), c_List_Olist_ONil(_u16336)))), hAPP(hAPP(c_List_Oappend(_u16336), _u16342), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16344), c_List_Olist_ONil(_u16336))))), c_List_Olistrel1(_u16336, _u16346))) | ( _u16340 = _u16344) | ( _u16338 = _u16342) )).
% 12.21/12.47 cnf(matrix-6924, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16336), tc_List_Olist(_u16336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16336), tc_List_Olist(_u16336)), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16340), c_List_Olist_ONil(_u16336)))), hAPP(hAPP(c_List_Oappend(_u16336), _u16342), hAPP(hAPP(c_List_Olist_OCons(_u16336), _u16344), c_List_Olist_ONil(_u16336))))), c_List_Olistrel1(_u16336, _u16346))) | ( _u16340 = _u16344) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16336, _u16336)), hAPP(hAPP(c_Product__Type_OPair(_u16336, _u16336), _u16340), _u16344)), _u16346)) )).
% 12.21/12.47 cnf(matrix-6925, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16337), tc_List_Olist(_u16337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16337), tc_List_Olist(_u16337)), hAPP(hAPP(c_List_Oappend(_u16337), _u16339), hAPP(hAPP(c_List_Olist_OCons(_u16337), _u16341), c_List_Olist_ONil(_u16337)))), hAPP(hAPP(c_List_Oappend(_u16337), _u16343), hAPP(hAPP(c_List_Olist_OCons(_u16337), _u16345), c_List_Olist_ONil(_u16337))))), c_List_Olistrel1(_u16337, _u16347))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16337), tc_List_Olist(_u16337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16337), tc_List_Olist(_u16337)), _u16339), _u16343)), c_List_Olistrel1(_u16337, _u16347))) | ( _u16341 != _u16345) )).
% 12.21/12.47 cnf(matrix-6926, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16337), tc_List_Olist(_u16337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16337), tc_List_Olist(_u16337)), hAPP(hAPP(c_List_Oappend(_u16337), _u16339), hAPP(hAPP(c_List_Olist_OCons(_u16337), _u16341), c_List_Olist_ONil(_u16337)))), hAPP(hAPP(c_List_Oappend(_u16337), _u16343), hAPP(hAPP(c_List_Olist_OCons(_u16337), _u16345), c_List_Olist_ONil(_u16337))))), c_List_Olistrel1(_u16337, _u16347))) | ( _u16339 != _u16343) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16337, _u16337)), hAPP(hAPP(c_Product__Type_OPair(_u16337, _u16337), _u16341), _u16345)), _u16347)) )).
% 12.21/12.47 cnf(matrix-6927, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16352), tc_List_Olist(_u16352))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16352), tc_List_Olist(_u16352)), _u16353), _u16354)), c_List_Olistrel1(_u16352, _u16355))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16352, _u16352)), hAPP(hAPP(c_Product__Type_OPair(_u16352, _u16352), skolem422(_u16355, _u16354, _u16353, _u16352)), skolem423(_u16355, _u16354, _u16353, _u16352))), _u16355)) )).
% 12.21/12.47 cnf(matrix-6928, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16352), tc_List_Olist(_u16352))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16352), tc_List_Olist(_u16352)), _u16353), _u16354)), c_List_Olistrel1(_u16352, _u16355))) | ( _u16353 = hAPP(hAPP(c_List_Oappend(_u16352), skolem424(_u16355, _u16354, _u16353, _u16352)), hAPP(hAPP(c_List_Olist_OCons(_u16352), skolem422(_u16355, _u16354, _u16353, _u16352)), skolem425(_u16355, _u16354, _u16353, _u16352)))) )).
% 12.21/12.47 cnf(matrix-6929, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16352), tc_List_Olist(_u16352))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16352), tc_List_Olist(_u16352)), _u16353), _u16354)), c_List_Olistrel1(_u16352, _u16355))) | ( _u16354 = hAPP(hAPP(c_List_Oappend(_u16352), skolem424(_u16355, _u16354, _u16353, _u16352)), hAPP(hAPP(c_List_Olist_OCons(_u16352), skolem423(_u16355, _u16354, _u16353, _u16352)), skolem425(_u16355, _u16354, _u16353, _u16352)))) )).
% 12.21/12.47 cnf(matrix-6930, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16358), _u16359)), hAPP(hAPP(c_List_Oappend(_u16357), _u16358), _u16360))), c_List_Olexord(_u16357, _u16361))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16357, _u16357)), hAPP(hAPP(c_Product__Type_OPair(_u16357, _u16357), skolem426(_u16361, _u16360, _u16359, _u16358, _u16357)), skolem426(_u16361, _u16360, _u16359, _u16358, _u16357))), _u16361)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), _u16359), _u16360)), c_List_Olexord(_u16357, _u16361))) )).
% 12.21/12.47 cnf(matrix-6931, plain, ( ( hAPP(c_List_Orotate1(_u16362), _u16363) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16362), _u16362, c_List_Olist_ONil(_u16362), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16362), tc_fun(tc_List_Olist(_u16362), tc_List_Olist(_u16362)), _u16362), hAPP(c_COMBC(tc_List_Olist(_u16362), tc_List_Olist(_u16362), tc_List_Olist(_u16362)), c_List_Oappend(_u16362))), hAPP(hAPP(c_COMBC(_u16362, tc_List_Olist(_u16362), tc_List_Olist(_u16362)), c_List_Olist_OCons(_u16362)), c_List_Olist_ONil(_u16362)))), _u16363)) )).
% 12.21/12.47 cnf(matrix-6932, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16364), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16365)), _u16366))) | ( hAPP(hAPP(c_List_Olist__update(_u16365, _u16366), _u16364), _u16367) = hAPP(hAPP(c_List_Oappend(_u16365), hAPP(hAPP(c_List_Otake(_u16365), _u16364), _u16366)), hAPP(hAPP(c_List_Olist_OCons(_u16365), _u16367), hAPP(hAPP(c_List_Odrop(_u16365), hAPP(c_Nat_OSuc, _u16364)), _u16366)))) )).
% 12.21/12.47 cnf(matrix-6933, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16368), hAPP(hAPP(c_List_Otake(_u16368), _u16369), _u16370)), hAPP(hAPP(c_List_Odrop(_u16368), _u16369), _u16370)) = _u16370) )).
% 12.21/12.47 cnf(matrix-6934, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16371), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16371), _u16372), _u16373)) = _u16373) )).
% 12.21/12.47 cnf(matrix-6935, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16374), hAPP(c_Nat_OSuc, _u16375)), hAPP(hAPP(c_List_Olist_OCons(_u16374), _u16376), _u16377)) = hAPP(hAPP(c_List_Odrop(_u16374), _u16375), _u16377)) )).
% 12.21/12.47 cnf(matrix-6936, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16378), _u16379), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16378), _u16381), _u16382)) | ( hAPP(hAPP(c_List_Onth(_u16378), _u16380), _u16379) = _u16381) )).
% 12.21/12.47 cnf(matrix-6937, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16383), _u16384)) | hBOOL(hAPP(c_List_Odistinct(_u16383), hAPP(hAPP(c_List_Odrop(_u16383), _u16385), _u16384))) )).
% 12.21/12.47 cnf(matrix-6938, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16388), hAPP(c_List_Orotate1(_u16388), _u16390))) | hBOOL(hAPP(c_List_Odistinct(_u16388), _u16390)) )).
% 12.21/12.47 cnf(matrix-6939, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16389), _u16391)) | hBOOL(hAPP(c_List_Odistinct(_u16389), hAPP(c_List_Orotate1(_u16389), _u16391))) )).
% 12.21/12.47 cnf(matrix-6940, plain, ( ( c_List_Obutlast(_u16392, hAPP(hAPP(c_List_Odrop(_u16392), _u16393), _u16394)) = hAPP(hAPP(c_List_Odrop(_u16392), _u16393), c_List_Obutlast(_u16392, _u16394))) )).
% 12.21/12.47 cnf(matrix-6941, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16395), _u16396), c_List_Obutlast(_u16395, _u16397)) = c_List_Obutlast(_u16395, hAPP(hAPP(c_List_Odrop(_u16395), _u16396), _u16397))) )).
% 12.21/12.47 cnf(matrix-6942, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16398), _u16399), hAPP(hAPP(c_List_Otake(_u16398), _u16400), _u16401)) = hAPP(hAPP(c_List_Otake(_u16398), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16400), _u16399)), hAPP(hAPP(c_List_Odrop(_u16398), _u16399), _u16401))) )).
% 12.21/12.47 cnf(matrix-6943, plain, ( ( hAPP(hAPP(c_List_Otake(_u16402), _u16403), hAPP(hAPP(c_List_Odrop(_u16402), _u16404), _u16405)) = hAPP(hAPP(c_List_Odrop(_u16402), _u16404), hAPP(hAPP(c_List_Otake(_u16402), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16403), _u16404)), _u16405))) )).
% 12.21/12.47 cnf(matrix-6944, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16406), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16407) = _u16407) )).
% 12.21/12.47 cnf(matrix-6945, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16408), _u16409), hAPP(hAPP(c_List_Odrop(_u16408), _u16410), _u16411)) = hAPP(hAPP(c_List_Odrop(_u16408), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16409), _u16410)), _u16411)) )).
% 12.21/12.47 cnf(matrix-6946, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16412, _u16413)), _u16414), hAPP(hAPP(c_List_Ozip(_u16412, _u16413), _u16415), _u16416)) = hAPP(hAPP(c_List_Ozip(_u16412, _u16413), hAPP(hAPP(c_List_Odrop(_u16412), _u16414), _u16415)), hAPP(hAPP(c_List_Odrop(_u16413), _u16414), _u16416))) )).
% 12.21/12.47 cnf(matrix-6947, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16417)), hAPP(hAPP(c_List_Odrop(_u16417), _u16418), _u16419)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16417)), _u16419)), _u16418)) )).
% 12.21/12.47 cnf(matrix-6948, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16420)), hAPP(c_List_Orotate1(_u16420), _u16421)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16420)), _u16421)) )).
% 12.21/12.47 cnf(matrix-6949, plain, ( ( hAPP(c_List_Oset(_u16422), hAPP(c_List_Orotate1(_u16422), _u16423)) = hAPP(c_List_Oset(_u16422), _u16423)) )).
% 12.21/12.47 cnf(matrix-6950, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16424), _u16425), hAPP(c_List_Oset(_u16424), hAPP(hAPP(c_List_Odrop(_u16424), _u16426), _u16427)))) | hBOOL(hAPP(hAPP(c_member(_u16424), _u16425), hAPP(c_List_Oset(_u16424), _u16427))) )).
% 12.21/12.47 cnf(matrix-6951, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16428, tc_HOL_Obool)), hAPP(c_List_Oset(_u16428), hAPP(hAPP(c_List_Odrop(_u16428), _u16429), _u16430))), hAPP(c_List_Oset(_u16428), _u16430))) )).
% 12.21/12.47 cnf(matrix-6952, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16431), _u16432), c_List_Olist_ONil(_u16431)) = c_List_Olist_ONil(_u16431)) )).
% 12.21/12.47 cnf(matrix-6953, plain, ( ( hAPP(c_List_Orotate1(_u16435), _u16437) != c_List_Olist_ONil(_u16435)) | ( _u16437 = c_List_Olist_ONil(_u16435)) )).
% 12.21/12.47 cnf(matrix-6954, plain, ( ( _u16438 != c_List_Olist_ONil(_u16436)) | ( hAPP(c_List_Orotate1(_u16436), _u16438) = c_List_Olist_ONil(_u16436)) )).
% 12.21/12.47 cnf(matrix-6955, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16439), _u16440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16441, tc_HOL_Obool)), hAPP(c_List_Oset(_u16441), hAPP(hAPP(c_List_Odrop(_u16441), _u16440), _u16442))), hAPP(c_List_Oset(_u16441), hAPP(hAPP(c_List_Odrop(_u16441), _u16439), _u16442)))) )).
% 12.21/12.47 cnf(matrix-6956, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16446), _u16448), _u16450) != c_List_Olist_ONil(_u16446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16446)), _u16450)), _u16448)) )).
% 12.21/12.47 cnf(matrix-6957, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16447)), _u16451)), _u16449)) | ( hAPP(hAPP(c_List_Odrop(_u16447), _u16449), _u16451) = c_List_Olist_ONil(_u16447)) )).
% 12.21/12.47 cnf(matrix-6958, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16452)), _u16453)), _u16454)) | ( hAPP(hAPP(c_List_Odrop(_u16452), _u16454), _u16453) = c_List_Olist_ONil(_u16452)) )).
% 12.21/12.47 cnf(matrix-6959, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16455), _u16456), hAPP(hAPP(c_List_Oappend(_u16455), _u16457), _u16458)) = hAPP(hAPP(c_List_Oappend(_u16455), hAPP(hAPP(c_List_Odrop(_u16455), _u16456), _u16457)), hAPP(hAPP(c_List_Odrop(_u16455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16456), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16455)), _u16457))), _u16458))) )).
% 12.21/12.47 cnf(matrix-6960, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16463), _u16465), _u16467) != _u16469) | ( _u16465 = hAPP(hAPP(c_List_Otake(_u16463), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16463)), _u16465)), _u16469)) )).
% 12.21/12.47 cnf(matrix-6961, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16463), _u16465), _u16467) != _u16469) | ( _u16467 = hAPP(hAPP(c_List_Odrop(_u16463), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16463)), _u16465)), _u16469)) )).
% 12.21/12.47 cnf(matrix-6962, plain, ( ( _u16466 != hAPP(hAPP(c_List_Otake(_u16464), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16464)), _u16466)), _u16470)) | ( _u16468 != hAPP(hAPP(c_List_Odrop(_u16464), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16464)), _u16466)), _u16470)) | ( hAPP(hAPP(c_List_Oappend(_u16464), _u16466), _u16468) = _u16470) )).
% 12.21/12.47 cnf(matrix-6963, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16471), _u16472), hAPP(hAPP(c_List_Olist_OCons(_u16471), _u16473), _u16474)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16471), hAPP(hAPP(c_List_Olist_OCons(_u16471), _u16473), _u16474), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16471), tc_List_Olist(_u16471)), c_List_Odrop(_u16471)), _u16474), _u16472)) )).
% 12.21/12.47 cnf(matrix-6964, plain, ( ( _u16479 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16481), _u16479), hAPP(hAPP(c_List_Olist_OCons(_u16481), _u16483), _u16485)) = hAPP(hAPP(c_List_Olist_OCons(_u16481), _u16483), _u16485)) )).
% 12.21/12.47 cnf(matrix-6965, plain, ( ( _u16480 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16482), _u16480), hAPP(hAPP(c_List_Olist_OCons(_u16482), _u16484), _u16486)) = hAPP(hAPP(c_List_Odrop(_u16482), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16480), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16486)) )).
% 12.21/12.47 cnf(matrix-6966, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16487), _u16488)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16489)), _u16490))) | ( hAPP(hAPP(c_List_Onth(_u16489), hAPP(hAPP(c_List_Odrop(_u16489), _u16487), _u16490)), _u16488) = hAPP(hAPP(c_List_Onth(_u16489), _u16490), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16487), _u16488))) )).
% 12.21/12.47 cnf(matrix-6967, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16496), _u16498), _u16500) != hAPP(hAPP(c_List_Oappend(_u16496), _u16502), _u16504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502))) | ( _u16498 = hAPP(hAPP(c_List_Otake(_u16496), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), _u16502)) )).
% 12.21/12.47 cnf(matrix-6968, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16496), _u16498), _u16500) != hAPP(hAPP(c_List_Oappend(_u16496), _u16502), _u16504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502))) | ( _u16500 = hAPP(hAPP(c_List_Oappend(_u16496), hAPP(hAPP(c_List_Odrop(_u16496), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), _u16502)), _u16504)) )).
% 12.21/12.47 cnf(matrix-6969, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16496), _u16498), _u16500) != hAPP(hAPP(c_List_Oappend(_u16496), _u16502), _u16504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502))) | ( hAPP(hAPP(c_List_Otake(_u16496), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502)), _u16498) = _u16502) )).
% 12.21/12.47 cnf(matrix-6970, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16496), _u16498), _u16500) != hAPP(hAPP(c_List_Oappend(_u16496), _u16502), _u16504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16498)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502))) | ( hAPP(hAPP(c_List_Oappend(_u16496), hAPP(hAPP(c_List_Odrop(_u16496), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16502)), _u16498)), _u16500) = _u16504) )).
% 12.21/12.47 cnf(matrix-6971, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16497), _u16499), _u16501) = hAPP(hAPP(c_List_Oappend(_u16497), _u16503), _u16505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503))) | ( hAPP(hAPP(c_List_Otake(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503)), _u16499) != _u16503) | ( hAPP(hAPP(c_List_Oappend(_u16497), hAPP(hAPP(c_List_Odrop(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503)), _u16499)), _u16501) != _u16505) )).
% 12.21/12.47 cnf(matrix-6972, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16497), _u16499), _u16501) = hAPP(hAPP(c_List_Oappend(_u16497), _u16503), _u16505)) | ( _u16499 != hAPP(hAPP(c_List_Otake(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), _u16503)) | ( _u16501 != hAPP(hAPP(c_List_Oappend(_u16497), hAPP(hAPP(c_List_Odrop(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), _u16503)), _u16505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503))) )).
% 12.21/12.47 cnf(matrix-6973, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16497), _u16499), _u16501) = hAPP(hAPP(c_List_Oappend(_u16497), _u16503), _u16505)) | ( _u16499 != hAPP(hAPP(c_List_Otake(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), _u16503)) | ( _u16501 != hAPP(hAPP(c_List_Oappend(_u16497), hAPP(hAPP(c_List_Odrop(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)), _u16503)), _u16505)) | ( hAPP(hAPP(c_List_Otake(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503)), _u16499) != _u16503) | ( hAPP(hAPP(c_List_Oappend(_u16497), hAPP(hAPP(c_List_Odrop(_u16497), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16503)), _u16499)), _u16501) != _u16505) )).
% 12.21/12.47 cnf(matrix-6974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16506), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16507)), _u16508))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16507), hAPP(hAPP(c_List_Onth(_u16507), _u16508), _u16506)), hAPP(hAPP(c_List_Odrop(_u16507), hAPP(c_Nat_OSuc, _u16506)), _u16508)) = hAPP(hAPP(c_List_Odrop(_u16507), _u16506), _u16508)) )).
% 12.21/12.47 cnf(matrix-6975, plain, ( ( hAPP(c_List_Orotate1(_u16509), c_List_Olist_ONil(_u16509)) = c_List_Olist_ONil(_u16509)) )).
% 12.21/12.47 cnf(matrix-6976, plain, ( ( hAPP(c_List_Orotate1(_u16510), hAPP(hAPP(c_List_Olist_OCons(_u16510), _u16511), _u16512)) = hAPP(hAPP(c_List_Oappend(_u16510), _u16512), hAPP(hAPP(c_List_Olist_OCons(_u16510), _u16511), c_List_Olist_ONil(_u16510)))) )).
% 12.21/12.47 cnf(matrix-6977, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16517) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16519), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16517)), hAPP(hAPP(c_List_Olist_OCons(_u16519), _u16521), _u16523)) = hAPP(hAPP(c_List_Olist_OCons(_u16519), _u16521), _u16523)) )).
% 12.21/12.47 cnf(matrix-6978, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16518) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16520), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16518)), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), _u16524)) = hAPP(hAPP(c_List_Odrop(_u16520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16518)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16524)) )).
% 12.21/12.47 cnf(matrix-6979, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16525), _u16526)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16527)), _u16528))) | ( hAPP(hAPP(c_List_Otake(_u16527), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16525), _u16526)), _u16528) = hAPP(hAPP(c_List_Oappend(_u16527), hAPP(hAPP(c_List_Otake(_u16527), _u16525), _u16528)), hAPP(hAPP(c_List_Otake(_u16527), _u16526), hAPP(hAPP(c_List_Odrop(_u16527), _u16525), _u16528)))) )).
% 12.21/12.47 cnf(matrix-6980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16529)), _u16530)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16529), _u16530) = _u16530) )).
% 12.21/12.47 cnf(matrix-6981, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16531, _u16532), _u16533), hAPP(hAPP(c_List_Oappend(_u16532), _u16534), _u16535)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16531, _u16532)), hAPP(hAPP(c_List_Ozip(_u16531, _u16532), hAPP(hAPP(c_List_Otake(_u16531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16532)), _u16534)), _u16533)), _u16534)), hAPP(hAPP(c_List_Ozip(_u16531, _u16532), hAPP(hAPP(c_List_Odrop(_u16531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16532)), _u16534)), _u16533)), _u16535))) )).
% 12.21/12.47 cnf(matrix-6982, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16536, _u16537), hAPP(hAPP(c_List_Oappend(_u16536), _u16538), _u16539)), _u16540) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16536, _u16537)), hAPP(hAPP(c_List_Ozip(_u16536, _u16537), _u16538), hAPP(hAPP(c_List_Otake(_u16537), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16536)), _u16538)), _u16540))), hAPP(hAPP(c_List_Ozip(_u16536, _u16537), _u16539), hAPP(hAPP(c_List_Odrop(_u16537), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16536)), _u16538)), _u16540)))) )).
% 12.21/12.47 cnf(matrix-6983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16541), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16542)), _u16543))) | ( _u16543 = hAPP(hAPP(c_List_Oappend(_u16542), hAPP(hAPP(c_List_Otake(_u16542), _u16541), _u16543)), hAPP(hAPP(c_List_Olist_OCons(_u16542), hAPP(hAPP(c_List_Onth(_u16542), _u16543), _u16541)), hAPP(hAPP(c_List_Odrop(_u16542), hAPP(c_Nat_OSuc, _u16541)), _u16543)))) )).
% 12.21/12.47 cnf(matrix-6984, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16544), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16546))) | ( hAPP(hAPP(c_List_Oappend(_u16545), hAPP(hAPP(c_List_Otake(_u16545), _u16544), _u16546)), hAPP(hAPP(c_List_Olist_OCons(_u16545), hAPP(c_List_Ohd(_u16545), hAPP(hAPP(c_List_Odrop(_u16545), _u16544), _u16546))), c_List_Olist_ONil(_u16545))) = hAPP(hAPP(c_List_Otake(_u16545), hAPP(c_Nat_OSuc, _u16544)), _u16546)) )).
% 12.21/12.47 cnf(matrix-6985, plain, ( ( _u16547 = c_List_Olist_ONil(_u16548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16549), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16548)), _u16547))) | ( hAPP(c_List_Ohd(_u16548), hAPP(hAPP(c_List_Odrop(_u16548), _u16549), _u16547)) = hAPP(hAPP(c_List_Onth(_u16548), _u16547), _u16549)) )).
% 12.21/12.47 cnf(matrix-6986, plain, ( ( hAPP(c_List_Ohd(_u16550), hAPP(hAPP(c_List_Olist_OCons(_u16550), _u16551), _u16552)) = _u16551) )).
% 12.21/12.47 cnf(matrix-6987, plain, ( ( _u16553 = c_List_Olist_ONil(_u16554)) | ( hAPP(c_List_Ohd(_u16554), hAPP(hAPP(c_List_Oappend(_u16554), _u16553), _u16555)) = hAPP(c_List_Ohd(_u16554), _u16553)) )).
% 12.21/12.47 cnf(matrix-6988, plain, ( ( _u16559 != c_List_Olist_ONil(_u16561)) | ( hAPP(c_List_Ohd(_u16561), hAPP(hAPP(c_List_Oappend(_u16561), _u16559), _u16563)) = hAPP(c_List_Ohd(_u16561), _u16563)) )).
% 12.21/12.47 cnf(matrix-6989, plain, ( ( _u16560 = c_List_Olist_ONil(_u16562)) | ( hAPP(c_List_Ohd(_u16562), hAPP(hAPP(c_List_Oappend(_u16562), _u16560), _u16564)) = hAPP(c_List_Ohd(_u16562), _u16560)) )).
% 12.21/12.47 cnf(matrix-6990, plain, ( ( _u16565 = c_List_Olist_ONil(_u16566)) | hBOOL(hAPP(hAPP(c_member(_u16566), hAPP(c_List_Ohd(_u16566), _u16565)), hAPP(c_List_Oset(_u16566), _u16565))) )).
% 12.21/12.47 cnf(matrix-6991, plain, ( ( _u16567 = c_List_Olist_ONil(_u16568)) | ( hAPP(c_List_Ohd(_u16568), _u16567) = hAPP(hAPP(c_List_Onth(_u16568), _u16567), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-6992, plain, ( ( _u16569 = c_List_Olist_ONil(_u16570)) | ( hAPP(c_List_Orotate1(_u16570), _u16569) = hAPP(hAPP(c_List_Oappend(_u16570), hAPP(c_List_Otl(_u16570), _u16569)), hAPP(hAPP(c_List_Olist_OCons(_u16570), hAPP(c_List_Ohd(_u16570), _u16569)), c_List_Olist_ONil(_u16570)))) )).
% 12.21/12.47 cnf(matrix-6993, plain, ( ( _u16571 = c_List_Olist_ONil(_u16572)) | ( hAPP(c_List_Ohd(_u16572), hAPP(c_List_Orotate(_u16572, _u16573), _u16571)) = hAPP(hAPP(c_List_Onth(_u16572), _u16571), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16573, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16572)), _u16571)))) )).
% 12.21/12.47 cnf(matrix-6994, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16574), _u16575), hAPP(c_List_Otl(_u16574), _u16576)) = hAPP(c_List_Otl(_u16574), hAPP(hAPP(c_List_Odrop(_u16574), _u16575), _u16576))) )).
% 12.21/12.47 cnf(matrix-6995, plain, ( ( hAPP(c_List_Otl(_u16577), hAPP(hAPP(c_List_Odrop(_u16577), _u16578), _u16579)) = hAPP(hAPP(c_List_Odrop(_u16577), _u16578), hAPP(c_List_Otl(_u16577), _u16579))) )).
% 12.21/12.47 cnf(matrix-6996, plain, ( ( hAPP(c_List_Otl(_u16580), hAPP(hAPP(c_List_Olist_OCons(_u16580), _u16581), _u16582)) = _u16582) )).
% 12.21/12.47 cnf(matrix-6997, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16583), _u16584)) | hBOOL(hAPP(c_List_Odistinct(_u16583), hAPP(c_List_Otl(_u16583), _u16584))) )).
% 12.21/12.47 cnf(matrix-6998, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16588), hAPP(c_List_Orotate(_u16588, _u16590), _u16592))) | hBOOL(hAPP(c_List_Odistinct(_u16588), _u16592)) )).
% 12.21/12.47 cnf(matrix-6999, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16589), _u16593)) | hBOOL(hAPP(c_List_Odistinct(_u16589), hAPP(c_List_Orotate(_u16589, _u16591), _u16593))) )).
% 12.21/12.47 cnf(matrix-7000, plain, ( ( c_List_Orotate(_u16594, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16595), _u16596)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16594), tc_List_Olist(_u16594), tc_List_Olist(_u16594), c_List_Orotate(_u16594, _u16595)), c_List_Orotate(_u16594, _u16596))) )).
% 12.21/12.47 cnf(matrix-7001, plain, ( ( c_List_Orotate(_u16597, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16597))) )).
% 12.21/12.47 cnf(matrix-7002, plain, ( ( hAPP(c_List_Orotate(_u16598, _u16599), hAPP(c_List_Orotate(_u16598, _u16600), _u16601)) = hAPP(c_List_Orotate(_u16598, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16599), _u16600)), _u16601)) )).
% 12.21/12.47 cnf(matrix-7003, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16602)), hAPP(c_List_Orotate(_u16602, _u16603), _u16604)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16602)), _u16604)) )).
% 12.21/12.47 cnf(matrix-7004, plain, ( ( hAPP(c_List_Oset(_u16605), hAPP(c_List_Orotate(_u16605, _u16606), _u16607)) = hAPP(c_List_Oset(_u16605), _u16607)) )).
% 12.21/12.47 cnf(matrix-7005, plain, ( ( hAPP(c_List_Otl(_u16608), c_List_Olist_ONil(_u16608)) = c_List_Olist_ONil(_u16608)) )).
% 12.21/12.47 cnf(matrix-7006, plain, ( ( hAPP(c_List_Orotate(_u16612, _u16614), _u16616) != c_List_Olist_ONil(_u16612)) | ( _u16616 = c_List_Olist_ONil(_u16612)) )).
% 12.21/12.47 cnf(matrix-7007, plain, ( ( _u16617 != c_List_Olist_ONil(_u16613)) | ( hAPP(c_List_Orotate(_u16613, _u16615), _u16617) = c_List_Olist_ONil(_u16613)) )).
% 12.21/12.47 cnf(matrix-7008, plain, ( ( hAPP(c_List_Orotate1(_u16618), hAPP(c_List_Orotate(_u16618, _u16619), _u16620)) = hAPP(c_List_Orotate(_u16618, _u16619), hAPP(c_List_Orotate1(_u16618), _u16620))) )).
% 12.21/12.47 cnf(matrix-7009, plain, ( ( c_List_Orotate(_u16621, _u16622) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), _u16622), c_List_Orotate1(_u16621))) )).
% 12.21/12.47 cnf(matrix-7010, plain, ( ( _u16623 = c_List_Olist_ONil(_u16624)) | ( hAPP(c_List_Otl(_u16624), hAPP(hAPP(c_List_Oappend(_u16624), _u16623), _u16625)) = hAPP(hAPP(c_List_Oappend(_u16624), hAPP(c_List_Otl(_u16624), _u16623)), _u16625)) )).
% 12.21/12.47 cnf(matrix-7011, plain, ( ( hAPP(hAPP(c_List_Otake(_u16626), _u16627), hAPP(c_List_Otl(_u16626), _u16628)) = hAPP(c_List_Otl(_u16626), hAPP(hAPP(c_List_Otake(_u16626), hAPP(c_Nat_OSuc, _u16627)), _u16628))) )).
% 12.21/12.47 cnf(matrix-7012, plain, ( ( hAPP(c_List_Orotate(_u16629, _u16630), _u16631) = hAPP(c_List_Orotate(_u16629, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16630, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16629)), _u16631))), _u16631)) )).
% 12.21/12.47 cnf(matrix-7013, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16632), hAPP(c_Nat_OSuc, _u16633)), _u16634) = hAPP(hAPP(c_List_Odrop(_u16632), _u16633), hAPP(c_List_Otl(_u16632), _u16634))) )).
% 12.21/12.47 cnf(matrix-7014, plain, ( ( hAPP(c_List_Orotate(_u16635, hAPP(c_Nat_OSuc, _u16636)), _u16637) = hAPP(c_List_Orotate1(_u16635), hAPP(c_List_Orotate(_u16635, _u16636), _u16637))) )).
% 12.21/12.47 cnf(matrix-7015, plain, ( ( hAPP(c_List_Otl(_u16638), hAPP(hAPP(c_List_Oappend(_u16638), _u16639), _u16640)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16638), _u16638, hAPP(c_List_Otl(_u16638), _u16640), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16638), tc_List_Olist(_u16638)), _u16638), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16638), tc_List_Olist(_u16638), tc_List_Olist(_u16638)), c_List_Oappend(_u16638)), _u16640))), _u16639)) )).
% 12.21/12.47 cnf(matrix-7016, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16641, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16642)), _u16643)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16642, _u16641), _u16643) = _u16643) )).
% 12.21/12.47 cnf(matrix-7017, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16644)), _u16645)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16644, _u16646), _u16645) = _u16645) )).
% 12.21/12.47 cnf(matrix-7018, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16647)), hAPP(c_List_Otl(_u16647), _u16648)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16647)), _u16648)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7019, plain, ( ( hAPP(c_List_Otl(_u16649), hAPP(hAPP(c_List_Otake(_u16649), _u16650), _u16651)) = hAPP(hAPP(c_List_Otake(_u16649), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16650), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16649), _u16651))) )).
% 12.21/12.47 cnf(matrix-7020, plain, ( ( _u16652 = c_List_Olist_ONil(_u16653)) | ( hAPP(hAPP(c_List_Otake(_u16653), hAPP(c_Nat_OSuc, _u16654)), _u16652) = hAPP(hAPP(c_List_Olist_OCons(_u16653), hAPP(c_List_Ohd(_u16653), _u16652)), hAPP(hAPP(c_List_Otake(_u16653), _u16654), hAPP(c_List_Otl(_u16653), _u16652)))) )).
% 12.21/12.47 cnf(matrix-7021, plain, ( ( hAPP(c_List_Orotate(_u16655, _u16656), _u16657) = hAPP(hAPP(c_List_Oappend(_u16655), hAPP(hAPP(c_List_Odrop(_u16655), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16656, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16655)), _u16657))), _u16657)), hAPP(hAPP(c_List_Otake(_u16655), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16656, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16655)), _u16657))), _u16657))) )).
% 12.21/12.47 cnf(matrix-7022, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16658) | ( _u16659 = c_List_Olist_ONil(_u16658)) | ( hAPP(c_Finite__Set_Ofold1(_u16658, c_Groups_Otimes__class_Otimes(_u16658)), hAPP(c_List_Oset(_u16658), _u16659)) = hAPP(c_List_Ofoldl(_u16658, _u16658, c_Groups_Otimes__class_Otimes(_u16658), hAPP(c_List_Ohd(_u16658), _u16659)), hAPP(c_List_Otl(_u16658), _u16659))) )).
% 12.21/12.47 cnf(matrix-7023, plain, ( ( _u16662 != hAPP(hAPP(c_List_Olist_OCons(_u16663), _u16661), _u16660)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16663), tc_List_Olist(_u16663))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16663), tc_List_Olist(_u16663)), _u16664), hAPP(hAPP(c_List_Oappend(_u16663), _u16664), _u16662))), c_List_Olexord(_u16663, _u16665))) )).
% 12.21/12.47 cnf(matrix-7024, plain, ( ( hAPP(c_List_Ofoldl(_u16666, _u16667, _u16668, _u16669), c_List_Olist_ONil(_u16667)) = _u16669) )).
% 12.21/12.47 cnf(matrix-7025, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16670), _u16671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16670), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16671), _u16672))) )).
% 12.21/12.47 cnf(matrix-7026, plain, ( ~class_Groups_Osemigroup__add(_u16673) | ( hAPP(c_List_Ofoldl(_u16673, _u16673, c_Groups_Oplus__class_Oplus(_u16673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16673), _u16674), _u16675)), _u16676) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16673), _u16674), hAPP(c_List_Ofoldl(_u16673, _u16673, c_Groups_Oplus__class_Oplus(_u16673), _u16675), _u16676))) )).
% 12.21/12.47 cnf(matrix-7027, plain, ( ~class_Groups_Omonoid__add(_u16677) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16677), _u16678), hAPP(c_List_Ofoldl(_u16677, _u16677, c_Groups_Oplus__class_Oplus(_u16677), c_Groups_Ozero__class_Ozero(_u16677)), _u16679)) = hAPP(c_List_Ofoldl(_u16677, _u16677, c_Groups_Oplus__class_Oplus(_u16677), _u16678), _u16679)) )).
% 12.21/12.47 cnf(matrix-7028, plain, ( ( hAPP(c_List_Ofoldl(_u16680, _u16681, _u16682, _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16681), _u16684), _u16685)) = hAPP(c_List_Ofoldl(_u16680, _u16681, _u16682, hAPP(hAPP(_u16682, _u16683), _u16684)), _u16685)) )).
% 12.21/12.47 cnf(matrix-7029, plain, ( ( hAPP(c_List_Ofoldl(_u16686, _u16687, _u16688, _u16689), hAPP(hAPP(c_List_Oappend(_u16687), _u16690), _u16691)) = hAPP(c_List_Ofoldl(_u16686, _u16687, _u16688, hAPP(c_List_Ofoldl(_u16686, _u16687, _u16688, _u16689), _u16690)), _u16691)) )).
% 12.21/12.47 cnf(matrix-7030, plain, ( ~class_Groups_Omonoid__add(_u16692) | ( c_List_Omonoid__add__class_Olistsum(_u16692) = c_List_Ofoldl(_u16692, _u16692, c_Groups_Oplus__class_Oplus(_u16692), c_Groups_Ozero__class_Ozero(_u16692))) )).
% 12.21/12.47 cnf(matrix-7031, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16697), _u16699) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16697 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7032, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16697), _u16699) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16693), hAPP(c_List_Oset(tc_Nat_Onat), _u16699))) | ( _u16693 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7033, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16698), _u16700) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16698 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem427(_u16700, _u16698)), hAPP(c_List_Oset(tc_Nat_Onat), _u16700))) )).
% 12.21/12.47 cnf(matrix-7034, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16698), _u16700) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16698 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem427(_u16700, _u16698) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7035, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16701, _u16702, _u16703) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16701, _u16702, _u16703), _u16704), hAPP(c_List_Oset(_u16701), _u16705)) = hAPP(c_List_Ofoldl(_u16702, _u16701, hAPP(c_COMBC(_u16701, _u16702, _u16702), _u16703), _u16704), _u16705)) )).
% 12.21/12.47 cnf(matrix-7036, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16706) | ( c_Complete__Lattice_OSup__class_OSup(_u16706, hAPP(c_List_Oset(_u16706), _u16707)) = hAPP(c_List_Ofoldl(_u16706, _u16706, c_Lattices_Osemilattice__sup__class_Osup(_u16706), c_Orderings_Obot__class_Obot(_u16706)), _u16707)) )).
% 12.21/12.47 cnf(matrix-7037, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16708) | ( c_Complete__Lattice_OInf__class_OInf(_u16708, hAPP(c_List_Oset(_u16708), _u16709)) = hAPP(c_List_Ofoldl(_u16708, _u16708, c_Lattices_Osemilattice__inf__class_Oinf(_u16708), c_Orderings_Otop__class_Otop(_u16708)), _u16709)) )).
% 12.21/12.47 cnf(matrix-7038, plain, ( ~class_Lattices_Olattice(_u16710) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16710, hAPP(c_List_Oset(_u16710), hAPP(hAPP(c_List_Olist_OCons(_u16710), _u16711), _u16712))) = hAPP(c_List_Ofoldl(_u16710, _u16710, c_Lattices_Osemilattice__sup__class_Osup(_u16710), _u16711), _u16712)) )).
% 12.21/12.47 cnf(matrix-7039, plain, ( ~class_Lattices_Olattice(_u16713) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16713, hAPP(c_List_Oset(_u16713), hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16714), _u16715))) = hAPP(c_List_Ofoldl(_u16713, _u16713, c_Lattices_Osemilattice__inf__class_Oinf(_u16713), _u16714), _u16715)) )).
% 12.21/12.47 cnf(matrix-7040, plain, ( ~class_Orderings_Olinorder(_u16716) | ( c_Big__Operators_Olinorder__class_OMin(_u16716, hAPP(c_List_Oset(_u16716), hAPP(hAPP(c_List_Olist_OCons(_u16716), _u16717), _u16718))) = hAPP(c_List_Ofoldl(_u16716, _u16716, c_Orderings_Oord__class_Omin(_u16716), _u16717), _u16718)) )).
% 12.21/12.47 cnf(matrix-7041, plain, ( ~class_Orderings_Olinorder(_u16719) | ( c_Big__Operators_Olinorder__class_OMax(_u16719, hAPP(c_List_Oset(_u16719), hAPP(hAPP(c_List_Olist_OCons(_u16719), _u16720), _u16721))) = hAPP(c_List_Ofoldl(_u16719, _u16719, c_Orderings_Oord__class_Omax(_u16719), _u16720), _u16721)) )).
% 12.21/12.47 cnf(matrix-7042, plain, ( ~class_Orderings_Olinorder(_u16722) | ( c_Big__Operators_Olattice_OInf__fin(_u16722, c_Orderings_Oord__class_Omin(_u16722), hAPP(c_List_Oset(_u16722), hAPP(hAPP(c_List_Olist_OCons(_u16722), _u16723), _u16724))) = hAPP(c_List_Ofoldl(_u16722, _u16722, c_Orderings_Oord__class_Omin(_u16722), _u16723), _u16724)) )).
% 12.21/12.47 cnf(matrix-7043, plain, ( ~class_Orderings_Olinorder(_u16725) | ( c_Big__Operators_Olattice_OSup__fin(_u16725, c_Orderings_Oord__class_Omax(_u16725), hAPP(c_List_Oset(_u16725), hAPP(hAPP(c_List_Olist_OCons(_u16725), _u16726), _u16727))) = hAPP(c_List_Ofoldl(_u16725, _u16725, c_Orderings_Oord__class_Omax(_u16725), _u16726), _u16727)) )).
% 12.21/12.47 cnf(matrix-7044, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16728) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16729, _u16728), hAPP(c_List_Oset(_u16729), _u16730)), _u16731) = hAPP(c_List_Ofoldl(_u16728, _u16729, hAPP(c_COMBC(_u16729, _u16728, _u16728), hAPP(hAPP(c_COMBB(_u16728, tc_fun(_u16728, _u16728), _u16729), c_Lattices_Osemilattice__sup__class_Osup(_u16728)), _u16731)), c_Orderings_Obot__class_Obot(_u16728)), _u16730)) )).
% 12.21/12.47 cnf(matrix-7045, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16732) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16733, _u16732), hAPP(c_List_Oset(_u16733), _u16734)), _u16735) = hAPP(c_List_Ofoldl(_u16732, _u16733, hAPP(c_COMBC(_u16733, _u16732, _u16732), hAPP(hAPP(c_COMBB(_u16732, tc_fun(_u16732, _u16732), _u16733), c_Lattices_Osemilattice__inf__class_Oinf(_u16732)), _u16735)), c_Orderings_Otop__class_Otop(_u16732)), _u16734)) )).
% 12.21/12.47 cnf(matrix-7046, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16736), hAPP(c_List_Oset(tc_Nat_Onat), _u16737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16736), 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)), _u16737))) )).
% 12.21/12.47 cnf(matrix-7047, plain, ( ~class_Orderings_Olinorder(_u16738) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16738), _u16739)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16738, hAPP(hAPP(c_Set_Oinsert(_u16738), _u16740), _u16739)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16738, _u16738, c_COMBI(_u16738)), _u16740), c_List_Olinorder__class_Osorted__list__of__set(_u16738, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16738, tc_HOL_Obool)), _u16739), hAPP(hAPP(c_Set_Oinsert(_u16738), _u16740), c_Orderings_Obot__class_Obot(tc_fun(_u16738, tc_HOL_Obool))))))) )).
% 12.21/12.47 cnf(matrix-7048, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16748), tc_List_Olist(_u16748))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16748), tc_List_Olist(_u16748)), c_List_Olist_ONil(_u16748)), _u16750)), c_List_Olexord(_u16748, _u16752))) | ( _u16750 = hAPP(hAPP(c_List_Olist_OCons(_u16748), skolem428(_u16752, _u16750, _u16748)), skolem429(_u16752, _u16750, _u16748))) )).
% 12.21/12.47 cnf(matrix-7049, plain, ( ( _u16751 != hAPP(hAPP(c_List_Olist_OCons(_u16749), _u16744), _u16743)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16749), tc_List_Olist(_u16749))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16749), tc_List_Olist(_u16749)), c_List_Olist_ONil(_u16749)), _u16751)), c_List_Olexord(_u16749, _u16753))) )).
% 12.21/12.47 cnf(matrix-7050, plain, ( ~class_Orderings_Olinorder(_u16754) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16755, _u16754, _u16756), _u16757), c_List_Olist_ONil(_u16755)) = hAPP(hAPP(c_List_Olist_OCons(_u16755), _u16757), c_List_Olist_ONil(_u16755))) )).
% 12.21/12.47 cnf(matrix-7051, plain, ( ~class_Orderings_Olinorder(_u16758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16758), hAPP(_u16759, _u16760)), hAPP(_u16759, _u16761))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16762, _u16758, _u16759), _u16760), hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16761), _u16763)) = hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16760), hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16761), _u16763))) )).
% 12.21/12.47 cnf(matrix-7052, plain, ( ~class_Orderings_Olinorder(_u16758) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16758), hAPP(_u16759, _u16760)), hAPP(_u16759, _u16761))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16762, _u16758, _u16759), _u16760), hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16761), _u16763)) = hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16761), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16762, _u16758, _u16759), _u16760), _u16763))) )).
% 12.21/12.47 cnf(matrix-7053, plain, ( ~class_Orderings_Olinorder(_u16764) | ( hAPP(c_List_Oset(_u16765), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16765, _u16764, _u16766), _u16767), _u16768)) = hAPP(hAPP(c_Set_Oinsert(_u16765), _u16767), hAPP(c_List_Oset(_u16765), _u16768))) )).
% 12.21/12.47 cnf(matrix-7054, plain, ( ~class_Orderings_Olinorder(_u16769) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16770)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16770, _u16769, _u16771), _u16772), _u16773)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16770)), _u16773))) )).
% 12.21/12.47 cnf(matrix-7055, plain, ( ~class_Orderings_Olinorder(_u16774) | c_Finite__Set_Ofun__left__comm(_u16774, tc_List_Olist(_u16774), c_List_Olinorder__class_Oinsort__key(_u16774, _u16774, c_COMBI(_u16774))) )).
% 12.21/12.47 cnf(matrix-7056, plain, ( ~class_Orderings_Olinorder(_u16775) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16775, _u16775, c_COMBI(_u16775)), _u16776), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16775, _u16775, c_COMBI(_u16775)), _u16777), _u16778)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16775, _u16775, c_COMBI(_u16775)), _u16777), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16775, _u16775, c_COMBI(_u16775)), _u16776), _u16778))) )).
% 12.21/12.47 cnf(matrix-7057, plain, ( ~class_Orderings_Olinorder(_u16779) | ( hAPP(_u16780, _u16781) = hAPP(_u16780, _u16782)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16783, _u16779, _u16780), _u16782), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16783, _u16779, _u16780), _u16781), _u16784)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16783, _u16779, _u16780), _u16781), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16783, _u16779, _u16780), _u16782), _u16784))) )).
% 12.21/12.47 cnf(matrix-7058, plain, ( ~class_Orderings_Olinorder(_u16785) | ( c_List_Oremove1(_u16785, _u16786, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16785, _u16785, c_COMBI(_u16785)), _u16786), _u16787)) = _u16787) )).
% 12.21/12.47 cnf(matrix-7059, plain, ( ~class_Orderings_Olinorder(_u16788) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16789, _u16788, _u16790), _u16791), _u16792) != c_List_Olist_ONil(_u16789)) )).
% 12.21/12.47 cnf(matrix-7060, plain, ( ~class_Orderings_Olinorder(_u16793) | ~hBOOL(hAPP(c_List_Odistinct(_u16794), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16794, _u16793, _u16795), _u16796), _u16797))) | ~hBOOL(hAPP(hAPP(c_member(_u16794), _u16796), hAPP(c_List_Oset(_u16794), _u16797))) )).
% 12.21/12.47 cnf(matrix-7061, plain, ( ~class_Orderings_Olinorder(_u16793) | ~hBOOL(hAPP(c_List_Odistinct(_u16794), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16794, _u16793, _u16795), _u16796), _u16797))) | hBOOL(hAPP(c_List_Odistinct(_u16794), _u16797)) )).
% 12.21/12.47 cnf(matrix-7062, plain, ( ~class_Orderings_Olinorder(_u16793) | hBOOL(hAPP(hAPP(c_member(_u16794), _u16796), hAPP(c_List_Oset(_u16794), _u16797))) | ~hBOOL(hAPP(c_List_Odistinct(_u16794), _u16797)) | hBOOL(hAPP(c_List_Odistinct(_u16794), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16794, _u16793, _u16795), _u16796), _u16797))) )).
% 12.21/12.47 cnf(matrix-7063, plain, ( ~class_Orderings_Olinorder(_u16798) | hBOOL(hAPP(hAPP(c_member(_u16798), hAPP(_u16799, _u16800)), hAPP(c_Set_Oimage(_u16801, _u16798, _u16799), hAPP(c_List_Oset(_u16801), _u16802)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16801, _u16798, _u16799, _u16800, _u16802) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16801, _u16798, _u16799), _u16800), _u16802)) )).
% 12.21/12.47 cnf(matrix-7064, plain, ( ~class_Orderings_Olinorder(_u16803) | hBOOL(hAPP(hAPP(c_member(_u16803), _u16804), hAPP(c_List_Oset(_u16803), _u16805))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16803, _u16803, c_COMBI(_u16803), _u16804, _u16805) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16803, _u16803, c_COMBI(_u16803)), _u16804), _u16805)) )).
% 12.21/12.47 cnf(matrix-7065, plain, ( ~class_Orderings_Olinorder(_u16806) | ~hBOOL(hAPP(c_List_Odistinct(_u16807), _u16808)) | hBOOL(hAPP(c_List_Odistinct(_u16807), c_List_Olinorder__class_Oinsort__insert__key(_u16807, _u16806, _u16809, _u16810, _u16808))) )).
% 12.21/12.47 cnf(matrix-7066, plain, ( ~class_Orderings_Olinorder(_u16811) | ~hBOOL(hAPP(hAPP(c_member(_u16811), _u16812), hAPP(c_List_Oset(_u16811), _u16813))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16811, _u16811, c_COMBI(_u16811), _u16812, _u16813) = _u16813) )).
% 12.21/12.47 cnf(matrix-7067, plain, ( ~class_Orderings_Olinorder(_u16814) | ( hAPP(c_List_Oset(_u16814), c_List_Olinorder__class_Oinsort__insert__key(_u16814, _u16814, c_COMBI(_u16814), _u16815, _u16816)) = hAPP(hAPP(c_Set_Oinsert(_u16814), _u16815), hAPP(c_List_Oset(_u16814), _u16816))) )).
% 12.21/12.47 cnf(matrix-7068, plain, ( ~class_Orderings_Olinorder(_u16817) | ~hBOOL(hAPP(hAPP(c_member(_u16817), hAPP(_u16818, _u16819)), hAPP(c_Set_Oimage(_u16820, _u16817, _u16818), hAPP(c_List_Oset(_u16820), _u16821)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16820, _u16817, _u16818, _u16819, _u16821) = _u16821) )).
% 12.21/12.47 cnf(matrix-7069, plain, ( ( _u16822 = c_List_Olist_ONil(_u16823)) | ( _u16824 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16823)), _u16822)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16823, hAPP(hAPP(c_List_Olist__update(_u16823, _u16822), _u16824), _u16825)) = _u16825) )).
% 12.21/12.47 cnf(matrix-7070, plain, ( ( _u16822 = c_List_Olist_ONil(_u16823)) | ( _u16824 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16823)), _u16822)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16823, hAPP(hAPP(c_List_Olist__update(_u16823, _u16822), _u16824), _u16825)) = c_List_Olast(_u16823, _u16822)) )).
% 12.21/12.47 cnf(matrix-7071, plain, ( ( _u16826 = c_List_Olist_ONil(_u16827)) | ( c_List_Olast(_u16827, _u16826) = hAPP(hAPP(c_List_Onth(_u16827), _u16826), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16827)), _u16826)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-7072, plain, ( ( _u16831 != c_List_Olist_ONil(_u16833)) | ( c_List_Olast(_u16833, hAPP(hAPP(c_List_Olist_OCons(_u16833), _u16835), _u16831)) = _u16835) )).
% 12.21/12.47 cnf(matrix-7073, plain, ( ( _u16832 = c_List_Olist_ONil(_u16834)) | ( c_List_Olast(_u16834, hAPP(hAPP(c_List_Olist_OCons(_u16834), _u16836), _u16832)) = c_List_Olast(_u16834, _u16832)) )).
% 12.21/12.47 cnf(matrix-7074, plain, ( ( _u16837 = c_List_Olist_ONil(_u16838)) | ( c_List_Olast(_u16838, hAPP(hAPP(c_List_Olist_OCons(_u16838), _u16839), _u16837)) = c_List_Olast(_u16838, _u16837)) )).
% 12.21/12.47 cnf(matrix-7075, plain, ( ( _u16840 != c_List_Olist_ONil(_u16841)) | ( c_List_Olast(_u16841, hAPP(hAPP(c_List_Olist_OCons(_u16841), _u16842), _u16840)) = _u16842) )).
% 12.21/12.47 cnf(matrix-7076, plain, ( ( _u16846 != c_List_Olist_ONil(_u16848)) | ( c_List_Olast(_u16848, hAPP(hAPP(c_List_Oappend(_u16848), _u16850), _u16846)) = c_List_Olast(_u16848, _u16850)) )).
% 12.21/12.47 cnf(matrix-7077, plain, ( ( _u16847 = c_List_Olist_ONil(_u16849)) | ( c_List_Olast(_u16849, hAPP(hAPP(c_List_Oappend(_u16849), _u16851), _u16847)) = c_List_Olast(_u16849, _u16847)) )).
% 12.21/12.47 cnf(matrix-7078, plain, ( ( _u16852 = c_List_Olist_ONil(_u16853)) | ( c_List_Olast(_u16853, hAPP(hAPP(c_List_Oappend(_u16853), _u16854), _u16852)) = c_List_Olast(_u16853, _u16852)) )).
% 12.21/12.47 cnf(matrix-7079, plain, ( ( _u16855 != c_List_Olist_ONil(_u16856)) | ( c_List_Olast(_u16856, hAPP(hAPP(c_List_Oappend(_u16856), _u16857), _u16855)) = c_List_Olast(_u16856, _u16857)) )).
% 12.21/12.47 cnf(matrix-7080, plain, ( ( _u16858 = c_List_Olist_ONil(_u16859)) | hBOOL(hAPP(hAPP(c_member(_u16859), c_List_Olast(_u16859, _u16858)), hAPP(c_List_Oset(_u16859), _u16858))) )).
% 12.21/12.47 cnf(matrix-7081, plain, ( ( c_List_Olast(_u16860, hAPP(hAPP(c_List_Oappend(_u16860), _u16861), hAPP(hAPP(c_List_Olist_OCons(_u16860), _u16862), c_List_Olist_ONil(_u16860)))) = _u16862) )).
% 12.21/12.47 cnf(matrix-7082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16863), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16864)), _u16865))) | ( c_List_Olast(_u16864, hAPP(hAPP(c_List_Odrop(_u16864), _u16863), _u16865)) = c_List_Olast(_u16864, _u16865)) )).
% 12.21/12.47 cnf(matrix-7083, plain, ( ( _u16866 = c_List_Olist_ONil(_u16867)) | ( hAPP(hAPP(c_List_Oappend(_u16867), c_List_Obutlast(_u16867, _u16866)), hAPP(hAPP(c_List_Olist_OCons(_u16867), c_List_Olast(_u16867, _u16866)), c_List_Olist_ONil(_u16867))) = _u16866) )).
% 12.21/12.47 cnf(matrix-7084, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16872), _u16874), hAPP(hAPP(c_List_Olist_OCons(_u16872), _u16876), c_List_Olist_ONil(_u16872))) != _u16878) | ( _u16878 != c_List_Olist_ONil(_u16872)) )).
% 12.21/12.47 cnf(matrix-7085, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16872), _u16874), hAPP(hAPP(c_List_Olist_OCons(_u16872), _u16876), c_List_Olist_ONil(_u16872))) != _u16878) | ( c_List_Obutlast(_u16872, _u16878) = _u16874) )).
% 12.21/12.47 cnf(matrix-7086, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16872), _u16874), hAPP(hAPP(c_List_Olist_OCons(_u16872), _u16876), c_List_Olist_ONil(_u16872))) != _u16878) | ( c_List_Olast(_u16872, _u16878) = _u16876) )).
% 12.21/12.47 cnf(matrix-7087, plain, ( ( _u16879 = c_List_Olist_ONil(_u16873)) | ( c_List_Obutlast(_u16873, _u16879) != _u16875) | ( c_List_Olast(_u16873, _u16879) != _u16877) | ( hAPP(hAPP(c_List_Oappend(_u16873), _u16875), hAPP(hAPP(c_List_Olist_OCons(_u16873), _u16877), c_List_Olist_ONil(_u16873))) = _u16879) )).
% 12.21/12.47 cnf(matrix-7088, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16887)), _u16889), c_List_Olists(_u16887, _u16891))) | ( _u16889 = c_List_Olist_ONil(_u16887)) | hBOOL(hAPP(hAPP(c_member(_u16887), skolem430(_u16891, _u16889, _u16887)), _u16891)) )).
% 12.21/12.47 cnf(matrix-7089, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16887)), _u16889), c_List_Olists(_u16887, _u16891))) | ( _u16889 = c_List_Olist_ONil(_u16887)) | ( _u16889 = hAPP(hAPP(c_List_Olist_OCons(_u16887), skolem430(_u16891, _u16889, _u16887)), skolem431(_u16891, _u16889, _u16887))) )).
% 12.21/12.47 cnf(matrix-7090, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16887)), _u16889), c_List_Olists(_u16887, _u16891))) | ( _u16889 = c_List_Olist_ONil(_u16887)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16887)), skolem431(_u16891, _u16889, _u16887)), c_List_Olists(_u16887, _u16891))) )).
% 12.21/12.47 cnf(matrix-7091, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16888)), _u16890), c_List_Olists(_u16888, _u16892))) | ( _u16890 != c_List_Olist_ONil(_u16888)) )).
% 12.21/12.47 cnf(matrix-7092, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16888)), _u16890), c_List_Olists(_u16888, _u16892))) | ~hBOOL(hAPP(hAPP(c_member(_u16888), _u16883), _u16892)) | ( _u16890 != hAPP(hAPP(c_List_Olist_OCons(_u16888), _u16883), _u16882)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16888)), _u16882), c_List_Olists(_u16888, _u16892))) )).
% 12.21/12.47 cnf(matrix-7093, plain, ( ( _u16893 = c_List_Olist_ONil(_u16894)) | ( c_Random_Oselect__weight(_u16894, hAPP(hAPP(c_List_Omap(_u16894, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16894)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16894), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16893)) = c_Random_Oselect(_u16894, _u16893)) )).
% 12.21/12.47 cnf(matrix-7094, plain, ( ~c_Fun_Oinj__on(_u16895, _u16896, _u16897, c_Orderings_Otop__class_Otop(tc_fun(_u16895, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16895), tc_List_Olist(_u16896), hAPP(c_List_Omap(_u16895, _u16896), _u16897), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16895), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7095, plain, ( ( _u16898 = c_List_Olist_ONil(_u16899)) | ( c_List_Olast(_u16900, hAPP(hAPP(c_List_Omap(_u16899, _u16900), _u16901), _u16898)) = hAPP(_u16901, c_List_Olast(_u16899, _u16898))) )).
% 12.21/12.47 cnf(matrix-7096, plain, ( ( hAPP(c_List_Ofoldl(_u16902, _u16903, _u16904, _u16905), hAPP(hAPP(c_List_Omap(_u16906, _u16903), _u16907), _u16908)) = hAPP(c_List_Ofoldl(_u16902, _u16906, hAPP(hAPP(c_COMBC(_u16902, tc_fun(_u16906, _u16903), tc_fun(_u16906, _u16902)), hAPP(hAPP(c_COMBB(tc_fun(_u16903, _u16902), tc_fun(tc_fun(_u16906, _u16903), tc_fun(_u16906, _u16902)), _u16902), c_COMBB(_u16903, _u16902, _u16906)), _u16904)), _u16907), _u16905), _u16908)) )).
% 12.21/12.47 cnf(matrix-7097, plain, ( ( hAPP(c_List_Orotate(_u16909, _u16910), hAPP(hAPP(c_List_Omap(_u16911, _u16909), _u16912), _u16913)) = hAPP(hAPP(c_List_Omap(_u16911, _u16909), _u16912), hAPP(c_List_Orotate(_u16911, _u16910), _u16913))) )).
% 12.21/12.47 cnf(matrix-7098, plain, ( ( hAPP(hAPP(c_List_Omap(_u16914, _u16915), _u16916), hAPP(c_List_Otl(_u16914), _u16917)) = hAPP(c_List_Otl(_u16915), hAPP(hAPP(c_List_Omap(_u16914, _u16915), _u16916), _u16917))) )).
% 12.21/12.47 cnf(matrix-7099, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16918, _u16919), _u16920), hAPP(hAPP(c_List_Omap(_u16921, _u16919), _u16922), _u16923)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16918, _u16921), tc_prod(_u16918, _u16919)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16918, _u16921, tc_prod(_u16918, _u16919)), hAPP(hAPP(c_COMBC(_u16918, tc_fun(_u16921, _u16919), tc_fun(_u16921, tc_prod(_u16918, _u16919))), hAPP(hAPP(c_COMBB(tc_fun(_u16919, tc_prod(_u16918, _u16919)), tc_fun(tc_fun(_u16921, _u16919), tc_fun(_u16921, tc_prod(_u16918, _u16919))), _u16918), c_COMBB(_u16919, tc_prod(_u16918, _u16919), _u16921)), c_Product__Type_OPair(_u16918, _u16919))), _u16922))), hAPP(hAPP(c_List_Ozip(_u16918, _u16921), _u16920), _u16923))) )).
% 12.21/12.47 cnf(matrix-7100, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16924, _u16925), _u16926), _u16927), hAPP(hAPP(c_List_Ozip(_u16924, _u16925), _u16928), hAPP(hAPP(c_List_Omap(_u16929, _u16925), _u16930), _u16931))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16924, _u16929), _u16926), hAPP(c_Product__Type_Oprod_Oprod__case(_u16924, _u16929, _u16926), hAPP(hAPP(c_COMBB(tc_fun(_u16929, tc_prod(_u16924, _u16925)), tc_fun(_u16929, _u16926), _u16924), hAPP(c_COMBB(tc_prod(_u16924, _u16925), _u16926, _u16929), _u16927)), hAPP(hAPP(c_COMBC(_u16924, tc_fun(_u16929, _u16925), tc_fun(_u16929, tc_prod(_u16924, _u16925))), hAPP(hAPP(c_COMBB(tc_fun(_u16925, tc_prod(_u16924, _u16925)), tc_fun(tc_fun(_u16929, _u16925), tc_fun(_u16929, tc_prod(_u16924, _u16925))), _u16924), c_COMBB(_u16925, tc_prod(_u16924, _u16925), _u16929)), c_Product__Type_OPair(_u16924, _u16925))), _u16930)))), hAPP(hAPP(c_List_Ozip(_u16924, _u16929), _u16928), _u16931))) )).
% 12.21/12.47 cnf(matrix-7101, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16932, _u16933), _u16934), _u16935), hAPP(hAPP(c_List_Ozip(_u16932, _u16933), hAPP(hAPP(c_List_Omap(_u16936, _u16932), _u16937), _u16938)), _u16939)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16936, _u16933), _u16934), hAPP(c_Product__Type_Oprod_Oprod__case(_u16936, _u16933, _u16934), hAPP(hAPP(c_COMBB(tc_fun(_u16933, tc_prod(_u16932, _u16933)), tc_fun(_u16933, _u16934), _u16936), hAPP(c_COMBB(tc_prod(_u16932, _u16933), _u16934, _u16933), _u16935)), hAPP(hAPP(c_COMBB(_u16932, tc_fun(_u16933, tc_prod(_u16932, _u16933)), _u16936), c_Product__Type_OPair(_u16932, _u16933)), _u16937)))), hAPP(hAPP(c_List_Ozip(_u16936, _u16933), _u16938), _u16939))) )).
% 12.21/12.47 cnf(matrix-7102, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16940, _u16941), hAPP(hAPP(c_List_Omap(_u16942, _u16940), _u16943), _u16944)), _u16945) = hAPP(hAPP(c_List_Omap(tc_prod(_u16942, _u16941), tc_prod(_u16940, _u16941)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16942, _u16941, tc_prod(_u16940, _u16941)), hAPP(hAPP(c_COMBB(_u16940, tc_fun(_u16941, tc_prod(_u16940, _u16941)), _u16942), c_Product__Type_OPair(_u16940, _u16941)), _u16943))), hAPP(hAPP(c_List_Ozip(_u16942, _u16941), _u16944), _u16945))) )).
% 12.21/12.47 cnf(matrix-7103, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16946, _u16947), hAPP(hAPP(c_List_Omap(_u16948, _u16946), _u16949), _u16950)), hAPP(hAPP(c_List_Omap(_u16951, _u16947), _u16952), _u16953)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16948, _u16951), tc_prod(_u16946, _u16947)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16948, _u16951, tc_prod(_u16946, _u16947)), hAPP(hAPP(c_COMBC(_u16948, tc_fun(_u16951, _u16947), tc_fun(_u16951, tc_prod(_u16946, _u16947))), hAPP(hAPP(c_COMBB(tc_fun(_u16947, tc_prod(_u16946, _u16947)), tc_fun(tc_fun(_u16951, _u16947), tc_fun(_u16951, tc_prod(_u16946, _u16947))), _u16948), c_COMBB(_u16947, tc_prod(_u16946, _u16947), _u16951)), hAPP(hAPP(c_COMBB(_u16946, tc_fun(_u16947, tc_prod(_u16946, _u16947)), _u16948), c_Product__Type_OPair(_u16946, _u16947)), _u16949))), _u16952))), hAPP(hAPP(c_List_Ozip(_u16948, _u16951), _u16950), _u16953))) )).
% 12.21/12.47 cnf(matrix-7104, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16954, _u16954), _u16955), _u16955) = hAPP(hAPP(c_List_Omap(_u16954, tc_prod(_u16954, _u16954)), hAPP(hAPP(c_COMBS(_u16954, _u16954, tc_prod(_u16954, _u16954)), c_Product__Type_OPair(_u16954, _u16954)), c_COMBI(_u16954))), _u16955)) )).
% 12.21/12.47 cnf(matrix-7105, plain, ( ( hAPP(hAPP(c_List_Omap(_u16960, _u16962), _u16964), _u16966) != c_List_Olist_ONil(_u16962)) | ( _u16966 = c_List_Olist_ONil(_u16960)) )).
% 12.21/12.47 cnf(matrix-7106, plain, ( ( _u16967 != c_List_Olist_ONil(_u16961)) | ( hAPP(hAPP(c_List_Omap(_u16961, _u16963), _u16965), _u16967) = c_List_Olist_ONil(_u16963)) )).
% 12.21/12.47 cnf(matrix-7107, plain, ( ( hAPP(hAPP(c_List_Omap(_u16968, _u16969), _u16970), c_List_Olist_ONil(_u16968)) = c_List_Olist_ONil(_u16969)) )).
% 12.21/12.47 cnf(matrix-7108, plain, ( ( _u16981 = c_List_Olist_ONil(_u16977)) | ( c_List_Olist_ONil(_u16975) != hAPP(hAPP(c_List_Omap(_u16977, _u16975), _u16979), _u16981)) )).
% 12.21/12.47 cnf(matrix-7109, plain, ( ( _u16982 != c_List_Olist_ONil(_u16978)) | ( c_List_Olist_ONil(_u16976) = hAPP(hAPP(c_List_Omap(_u16978, _u16976), _u16980), _u16982)) )).
% 12.21/12.47 cnf(matrix-7110, plain, ( ( hAPP(hAPP(c_List_Omap(_u16983, _u16984), _u16985), hAPP(hAPP(c_List_Olist__update(_u16983, _u16986), _u16987), _u16988)) = hAPP(hAPP(c_List_Olist__update(_u16984, hAPP(hAPP(c_List_Omap(_u16983, _u16984), _u16985), _u16986)), _u16987), hAPP(_u16985, _u16988))) )).
% 12.21/12.47 cnf(matrix-7111, plain, ( ( hAPP(hAPP(c_List_Omap(_u16996, _u16998), _u17000), _u17002) != hAPP(hAPP(c_List_Omap(_u16996, _u16998), _u17004), _u17002)) | ~hBOOL(hAPP(hAPP(c_member(_u16996), _u16989), hAPP(c_List_Oset(_u16996), _u17002))) | ( hAPP(_u17000, _u16989) = hAPP(_u17004, _u16989)) )).
% 12.21/12.47 cnf(matrix-7112, plain, ( ( hAPP(hAPP(c_List_Omap(_u16997, _u16999), _u17001), _u17003) = hAPP(hAPP(c_List_Omap(_u16997, _u16999), _u17005), _u17003)) | hBOOL(hAPP(hAPP(c_member(_u16997), skolem432(_u17005, _u17003, _u17001, _u16999, _u16997)), hAPP(c_List_Oset(_u16997), _u17003))) )).
% 12.21/12.47 cnf(matrix-7113, plain, ( ( hAPP(hAPP(c_List_Omap(_u16997, _u16999), _u17001), _u17003) = hAPP(hAPP(c_List_Omap(_u16997, _u16999), _u17005), _u17003)) | ( hAPP(_u17001, skolem432(_u17005, _u17003, _u17001, _u16999, _u16997)) != hAPP(_u17005, skolem432(_u17005, _u17003, _u17001, _u16999, _u16997))) )).
% 12.21/12.47 cnf(matrix-7114, plain, ( ( hAPP(hAPP(c_List_Omap(_u17006, _u17007), _u17008), _u17009) != hAPP(hAPP(c_List_Omap(_u17010, _u17007), _u17011), _u17012)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17006)), _u17009) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17010)), _u17012)) )).
% 12.21/12.47 cnf(matrix-7115, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17013)), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17015), _u17016)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17014)), _u17016)) )).
% 12.21/12.47 cnf(matrix-7116, plain, ( ~class_Groups_Ocomm__monoid__add(_u17017) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17017), hAPP(hAPP(c_List_Omap(_u17018, _u17017), hAPP(hAPP(c_COMBS(_u17018, _u17017, _u17017), hAPP(hAPP(c_COMBB(_u17017, tc_fun(_u17017, _u17017), _u17018), c_Groups_Oplus__class_Oplus(_u17017)), _u17019)), _u17020)), _u17021)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17017), hAPP(c_List_Omonoid__add__class_Olistsum(_u17017), hAPP(hAPP(c_List_Omap(_u17018, _u17017), _u17019), _u17021))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17017), hAPP(hAPP(c_List_Omap(_u17018, _u17017), _u17020), _u17021)))) )).
% 12.21/12.47 cnf(matrix-7117, plain, ( ~class_Groups_Oab__group__add(_u17022) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17022), hAPP(hAPP(c_List_Omap(_u17023, _u17022), hAPP(hAPP(c_COMBS(_u17023, _u17022, _u17022), hAPP(hAPP(c_COMBB(_u17022, tc_fun(_u17022, _u17022), _u17023), c_Groups_Ominus__class_Ominus(_u17022)), _u17024)), _u17025)), _u17026)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u17022), hAPP(c_List_Omonoid__add__class_Olistsum(_u17022), hAPP(hAPP(c_List_Omap(_u17023, _u17022), _u17024), _u17026))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17022), hAPP(hAPP(c_List_Omap(_u17023, _u17022), _u17025), _u17026)))) )).
% 12.21/12.47 cnf(matrix-7118, plain, ( ~class_Groups_Omonoid__add(_u17027) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17027), hAPP(hAPP(c_List_Omap(_u17028, _u17027), hAPP(c_COMBK(_u17027, _u17028), c_Groups_Ozero__class_Ozero(_u17027))), _u17029)) = c_Groups_Ozero__class_Ozero(_u17027)) )).
% 12.21/12.47 cnf(matrix-7119, plain, ( ~class_Rings_Osemiring__0(_u17030) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17030), hAPP(hAPP(c_List_Omap(_u17031, _u17030), hAPP(hAPP(c_COMBB(_u17030, _u17030, _u17031), hAPP(c_Groups_Otimes__class_Otimes(_u17030), _u17032)), _u17033)), _u17034)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17030), _u17032), hAPP(c_List_Omonoid__add__class_Olistsum(_u17030), hAPP(hAPP(c_List_Omap(_u17031, _u17030), _u17033), _u17034)))) )).
% 12.21/12.47 cnf(matrix-7120, plain, ( ~class_Rings_Osemiring__0(_u17035) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17035), hAPP(hAPP(c_List_Omap(_u17036, _u17035), hAPP(hAPP(c_COMBC(_u17036, _u17035, _u17035), hAPP(hAPP(c_COMBB(_u17035, tc_fun(_u17035, _u17035), _u17036), c_Groups_Otimes__class_Otimes(_u17035)), _u17037)), _u17038)), _u17039)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17035), hAPP(c_List_Omonoid__add__class_Olistsum(_u17035), hAPP(hAPP(c_List_Omap(_u17036, _u17035), _u17037), _u17039))), _u17038)) )).
% 12.21/12.47 cnf(matrix-7121, plain, ( ~c_Fun_Oinj__on(_u17040, _u17041, _u17042, c_Orderings_Otop__class_Otop(tc_fun(_u17040, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17040, _u17041), _u17042), _u17043) != hAPP(hAPP(c_List_Omap(_u17040, _u17041), _u17042), _u17044)) | ( _u17043 = _u17044) )).
% 12.21/12.47 cnf(matrix-7122, plain, ( ~c_Fun_Oinj__on(_u17040, _u17041, _u17042, c_Orderings_Otop__class_Otop(tc_fun(_u17040, tc_HOL_Obool))) | ( _u17043 != _u17044) | ( hAPP(hAPP(c_List_Omap(_u17040, _u17041), _u17042), _u17043) = hAPP(hAPP(c_List_Omap(_u17040, _u17041), _u17042), _u17044)) )).
% 12.21/12.47 cnf(matrix-7123, plain, ( ( hAPP(hAPP(c_List_Omap(_u17045, _u17046), _u17047), _u17048) != hAPP(hAPP(c_List_Omap(_u17045, _u17046), _u17047), _u17049)) | ~c_Fun_Oinj__on(_u17045, _u17046, _u17047, c_Orderings_Otop__class_Otop(tc_fun(_u17045, tc_HOL_Obool))) | ( _u17048 = _u17049) )).
% 12.21/12.47 cnf(matrix-7124, plain, ( ( hAPP(hAPP(c_List_Omap(_u17050, _u17050), c_COMBI(_u17050)), _u17051) = _u17051) )).
% 12.21/12.47 cnf(matrix-7125, plain, ( ( hAPP(hAPP(c_List_Otake(_u17052), _u17053), hAPP(hAPP(c_List_Omap(_u17054, _u17052), _u17055), _u17056)) = hAPP(hAPP(c_List_Omap(_u17054, _u17052), _u17055), hAPP(hAPP(c_List_Otake(_u17054), _u17053), _u17056))) )).
% 12.21/12.47 cnf(matrix-7126, plain, ( ( hAPP(hAPP(c_List_Omap(_u17057, _u17058), _u17059), c_List_Obutlast(_u17057, _u17060)) = c_List_Obutlast(_u17058, hAPP(hAPP(c_List_Omap(_u17057, _u17058), _u17059), _u17060))) )).
% 12.21/12.47 cnf(matrix-7127, plain, ( ( hAPP(c_List_Oset(_u17061), hAPP(hAPP(c_List_Omap(_u17062, _u17061), _u17063), _u17064)) = hAPP(c_Set_Oimage(_u17062, _u17061, _u17063), hAPP(c_List_Oset(_u17062), _u17064))) )).
% 12.21/12.47 cnf(matrix-7128, plain, ( ( hAPP(hAPP(c_List_Omap(_u17065, _u17066), _u17067), hAPP(hAPP(c_List_Olist_OCons(_u17065), _u17068), _u17069)) = hAPP(hAPP(c_List_Olist_OCons(_u17066), hAPP(_u17067, _u17068)), hAPP(hAPP(c_List_Omap(_u17065, _u17066), _u17067), _u17069))) )).
% 12.21/12.47 cnf(matrix-7129, plain, ( ( hAPP(hAPP(c_List_Omap(_u17070, _u17071), _u17072), hAPP(hAPP(c_List_Oappend(_u17070), _u17073), _u17074)) = hAPP(hAPP(c_List_Oappend(_u17071), hAPP(hAPP(c_List_Omap(_u17070, _u17071), _u17072), _u17073)), hAPP(hAPP(c_List_Omap(_u17070, _u17071), _u17072), _u17074))) )).
% 12.21/12.47 cnf(matrix-7130, plain, ( ( _u17075 = c_List_Olist_ONil(_u17076)) | ( hAPP(c_List_Ohd(_u17077), hAPP(hAPP(c_List_Omap(_u17076, _u17077), _u17078), _u17075)) = hAPP(_u17078, hAPP(c_List_Ohd(_u17076), _u17075))) )).
% 12.21/12.47 cnf(matrix-7131, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17079), _u17080), hAPP(hAPP(c_List_Omap(_u17081, _u17079), _u17082), _u17083)) = hAPP(hAPP(c_List_Omap(_u17081, _u17079), _u17082), hAPP(hAPP(c_List_Odrop(_u17081), _u17080), _u17083))) )).
% 12.21/12.47 cnf(matrix-7132, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17084), tc_List_Olist(_u17085), tc_List_Olist(_u17086), hAPP(c_List_Omap(_u17084, _u17085), _u17087)), hAPP(c_List_Omap(_u17086, _u17084), _u17088)) = hAPP(c_List_Omap(_u17086, _u17085), hAPP(c_Fun_Ocomp(_u17084, _u17085, _u17086, _u17087), _u17088))) )).
% 12.21/12.47 cnf(matrix-7133, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17089), tc_List_Olist(_u17090), tc_List_Olist(_u17091), hAPP(c_List_Omap(_u17089, _u17090), _u17092)), hAPP(c_List_Omap(_u17091, _u17089), _u17093)) = hAPP(c_List_Omap(_u17091, _u17090), hAPP(c_Fun_Ocomp(_u17089, _u17090, _u17091, _u17092), _u17093))) )).
% 12.21/12.47 cnf(matrix-7134, plain, ( ( hAPP(hAPP(c_List_Omap(_u17094, _u17095), _u17096), hAPP(hAPP(c_List_Omap(_u17097, _u17094), _u17098), _u17099)) = hAPP(hAPP(c_List_Omap(_u17097, _u17095), hAPP(c_Fun_Ocomp(_u17094, _u17095, _u17097, _u17096), _u17098)), _u17099)) )).
% 12.21/12.47 cnf(matrix-7135, plain, ( ( hAPP(hAPP(c_List_Omap(_u17100, _u17101), _u17102), hAPP(hAPP(c_List_Omap(_u17103, _u17100), _u17104), _u17105)) = hAPP(hAPP(c_List_Omap(_u17103, _u17101), hAPP(c_Fun_Ocomp(_u17100, _u17101, _u17103, _u17102), _u17104)), _u17105)) )).
% 12.21/12.47 cnf(matrix-7136, plain, ( ( hAPP(c_List_Omap(_u17106, _u17106), c_COMBI(_u17106)) = c_Fun_Oid(tc_List_Olist(_u17106))) )).
% 12.21/12.47 cnf(matrix-7137, plain, ( ( hAPP(c_List_Omap(_u17107, _u17107), c_Fun_Oid(_u17107)) = c_Fun_Oid(tc_List_Olist(_u17107))) )).
% 12.21/12.47 cnf(matrix-7138, plain, ( ( c_List_Olist_Olist__size(_u17108, _u17109, hAPP(hAPP(c_List_Omap(_u17110, _u17108), _u17111), _u17112)) = c_List_Olist_Olist__size(_u17110, hAPP(c_Fun_Ocomp(_u17108, tc_Nat_Onat, _u17110, _u17109), _u17111), _u17112)) )).
% 12.21/12.47 cnf(matrix-7139, plain, ( ~c_Fun_Oinj__on(_u17113, _u17114, _u17115, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17113, tc_HOL_Obool)), hAPP(c_List_Oset(_u17113), _u17116)), hAPP(c_List_Oset(_u17113), _u17117))) | ( hAPP(hAPP(c_List_Omap(_u17113, _u17114), _u17115), _u17116) != hAPP(hAPP(c_List_Omap(_u17113, _u17114), _u17115), _u17117)) | ( _u17116 = _u17117) )).
% 12.21/12.47 cnf(matrix-7140, plain, ( ~c_Fun_Oinj__on(_u17113, _u17114, _u17115, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17113, tc_HOL_Obool)), hAPP(c_List_Oset(_u17113), _u17116)), hAPP(c_List_Oset(_u17113), _u17117))) | ( _u17116 != _u17117) | ( hAPP(hAPP(c_List_Omap(_u17113, _u17114), _u17115), _u17116) = hAPP(hAPP(c_List_Omap(_u17113, _u17114), _u17115), _u17117)) )).
% 12.21/12.47 cnf(matrix-7141, plain, ( ( hAPP(hAPP(c_List_Omap(_u17118, _u17119), _u17120), _u17121) != hAPP(hAPP(c_List_Omap(_u17118, _u17119), _u17120), _u17122)) | ~c_Fun_Oinj__on(_u17118, _u17119, _u17120, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17118, tc_HOL_Obool)), hAPP(c_List_Oset(_u17118), _u17121)), hAPP(c_List_Oset(_u17118), _u17122))) | ( _u17121 = _u17122) )).
% 12.21/12.47 cnf(matrix-7142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17123), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17124)), _u17125))) | ( hAPP(hAPP(c_List_Onth(_u17126), hAPP(hAPP(c_List_Omap(_u17124, _u17126), _u17127), _u17125)), _u17123) = hAPP(_u17127, hAPP(hAPP(c_List_Onth(_u17124), _u17125), _u17123))) )).
% 12.21/12.47 cnf(matrix-7143, plain, ( hBOOL(hAPP(hAPP(c_member(_u17128), _u17129), hAPP(c_List_Oset(_u17128), _u17130))) | ( hAPP(hAPP(c_List_Omap(_u17128, _u17131), c_Fun_Ofun__upd(_u17128, _u17131, _u17132, _u17129, _u17133)), _u17130) = hAPP(hAPP(c_List_Omap(_u17128, _u17131), _u17132), _u17130)) )).
% 12.21/12.47 cnf(matrix-7144, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17138), hAPP(hAPP(c_List_Omap(_u17140, _u17138), _u17142), _u17144))) | hBOOL(hAPP(c_List_Odistinct(_u17140), _u17144)) )).
% 12.21/12.47 cnf(matrix-7145, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17138), hAPP(hAPP(c_List_Omap(_u17140, _u17138), _u17142), _u17144))) | c_Fun_Oinj__on(_u17140, _u17138, _u17142, hAPP(c_List_Oset(_u17140), _u17144)) )).
% 12.21/12.47 cnf(matrix-7146, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17141), _u17145)) | ~c_Fun_Oinj__on(_u17141, _u17139, _u17143, hAPP(c_List_Oset(_u17141), _u17145)) | hBOOL(hAPP(c_List_Odistinct(_u17139), hAPP(hAPP(c_List_Omap(_u17141, _u17139), _u17143), _u17145))) )).
% 12.21/12.47 cnf(matrix-7147, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u17146) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17146), hAPP(c_Groups_Oabs__class_Oabs(_u17146), hAPP(c_List_Omonoid__add__class_Olistsum(_u17146), _u17147))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17146), hAPP(hAPP(c_List_Omap(_u17146, _u17146), c_Groups_Oabs__class_Oabs(_u17146)), _u17147)))) )).
% 12.21/12.47 cnf(matrix-7148, plain, ( ~class_Groups_Oab__group__add(_u17148) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17148), hAPP(c_List_Omonoid__add__class_Olistsum(_u17148), hAPP(hAPP(c_List_Omap(_u17149, _u17148), _u17150), _u17151))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17148), hAPP(hAPP(c_List_Omap(_u17149, _u17148), hAPP(c_Fun_Ocomp(_u17148, _u17148, _u17149, c_Groups_Ouminus__class_Ouminus(_u17148)), _u17150)), _u17151))) )).
% 12.21/12.47 cnf(matrix-7149, plain, ( ~c_Fun_Oinj__on(_u17152, _u17153, _u17154, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17152, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17152), tc_fun(_u17152, tc_HOL_Obool), c_List_Oset(_u17152)), _u17155))) | c_Fun_Oinj__on(tc_List_Olist(_u17152), tc_List_Olist(_u17153), hAPP(c_List_Omap(_u17152, _u17153), _u17154), _u17155) )).
% 12.21/12.47 cnf(matrix-7150, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17156), tc_List_Olist(_u17157), hAPP(c_List_Omap(_u17156, _u17157), _u17158), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17156), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17156, _u17157, _u17158, c_Orderings_Otop__class_Otop(tc_fun(_u17156, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7151, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17162), tc_List_Olist(_u17164), hAPP(c_List_Omap(_u17162, _u17164), _u17166), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17162), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17162, _u17164, _u17166, c_Orderings_Otop__class_Otop(tc_fun(_u17162, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7152, plain, ( ~c_Fun_Oinj__on(_u17163, _u17165, _u17167, c_Orderings_Otop__class_Otop(tc_fun(_u17163, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17163), tc_List_Olist(_u17165), hAPP(c_List_Omap(_u17163, _u17165), _u17167), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17163), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7153, plain, ( ~class_Groups_Ocomm__monoid__add(_u17168) | ~hBOOL(hAPP(c_List_Odistinct(_u17169), _u17170)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17168), hAPP(hAPP(c_List_Omap(_u17169, _u17168), _u17171), _u17170)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17169, _u17168), _u17171), hAPP(c_List_Oset(_u17169), _u17170))) )).
% 12.21/12.47 cnf(matrix-7154, plain, ( ~class_Rings_Osemiring__1(_u17172) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17172), hAPP(hAPP(c_List_Omap(_u17173, _u17172), hAPP(c_COMBK(_u17172, _u17173), _u17174)), _u17175)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17172), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17172), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17173)), _u17175))), _u17174)) )).
% 12.21/12.47 cnf(matrix-7155, plain, ( ~class_Groups_Ocomm__monoid__add(_u17176) | ~hBOOL(hAPP(hAPP(c_member(_u17177), _u17178), hAPP(c_List_Oset(_u17177), _u17179))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17176), hAPP(hAPP(c_List_Omap(_u17177, _u17176), _u17180), _u17179)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17176), hAPP(_u17180, _u17178)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17176), hAPP(hAPP(c_List_Omap(_u17177, _u17176), _u17180), c_List_Oremove1(_u17177, _u17178, _u17179))))) )).
% 12.21/12.47 cnf(matrix-7156, plain, ( ~class_Groups_Ocomm__monoid__add(_u17181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17182), _u17183)) | ( c_Nitpick_Osetsum_H(_u17182, _u17181, _u17184, _u17183) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17181), hAPP(hAPP(c_List_Omap(_u17182, _u17181), _u17184), c_Hilbert__Choice_OEps(tc_List_Olist(_u17182), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17182), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17182)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17182), tc_fun(_u17182, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17182, tc_HOL_Obool), tc_fun(tc_fun(_u17182, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17182)), c_fequal), c_List_Oset(_u17182))), _u17183))), c_List_Odistinct(_u17182)))))) )).
% 12.21/12.47 cnf(matrix-7157, plain, ( ~class_Groups_Ocomm__monoid__add(_u17181) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17182), _u17183)) | ( c_Nitpick_Osetsum_H(_u17182, _u17181, _u17184, _u17183) = c_Groups_Ozero__class_Ozero(_u17181)) )).
% 12.21/12.47 cnf(matrix-7158, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17185), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17186)), _u17187))) | ( hAPP(c_Random_Opick(_u17186, hAPP(hAPP(c_List_Omap(_u17186, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17186)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17186), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17187)), hAPP(c_Code__Numeral_Oof__nat, _u17185)) = hAPP(hAPP(c_List_Onth(_u17186), _u17187), _u17185)) )).
% 12.21/12.47 cnf(matrix-7159, 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))) )).
% 12.21/12.47 cnf(matrix-7160, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17188)), hAPP(c_Code__Numeral_Oof__nat, _u17189)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17188), _u17189))) )).
% 12.21/12.47 cnf(matrix-7161, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17192) != hAPP(c_Code__Numeral_Oof__nat, _u17194)) | ( _u17192 = _u17194) )).
% 12.21/12.47 cnf(matrix-7162, plain, ( ( _u17193 != _u17195) | ( hAPP(c_Code__Numeral_Oof__nat, _u17193) = hAPP(c_Code__Numeral_Oof__nat, _u17195)) )).
% 12.21/12.47 cnf(matrix-7163, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.47 cnf(matrix-7164, 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))) )).
% 12.21/12.47 cnf(matrix-7165, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17198)), hAPP(c_Code__Numeral_Oof__nat, _u17200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17198), _u17200)) )).
% 12.21/12.47 cnf(matrix-7166, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17199), _u17201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17199)), hAPP(c_Code__Numeral_Oof__nat, _u17201))) )).
% 12.21/12.47 cnf(matrix-7167, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17202), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17203), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17202) != hAPP(c_Code__Numeral_Oof__nat, _u17203)) | ( _u17202 = _u17203) )).
% 12.21/12.47 cnf(matrix-7168, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17202), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17203), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17202 != _u17203) | ( hAPP(c_Code__Numeral_Oof__nat, _u17202) = hAPP(c_Code__Numeral_Oof__nat, _u17203)) )).
% 12.21/12.47 cnf(matrix-7169, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17204)), _u17205) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17206)), _u17207)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17204, _u17206), _u17204), c_Product__Type_Ofst(_u17204, _u17206)), hAPP(hAPP(c_List_Ozip(_u17204, _u17206), _u17205), _u17207)) = _u17205) )).
% 12.21/12.47 cnf(matrix-7170, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17208)), _u17209) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17210)), _u17211)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17208, _u17210), _u17210), c_Product__Type_Osnd(_u17208, _u17210)), hAPP(hAPP(c_List_Ozip(_u17208, _u17210), _u17209), _u17211)) = _u17211) )).
% 12.21/12.47 cnf(matrix-7171, 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)) )).
% 12.21/12.47 cnf(matrix-7172, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17212, _u17213), hAPP(hAPP(c_List_Omap(tc_prod(_u17212, _u17213), _u17212), c_Product__Type_Ofst(_u17212, _u17213)), _u17214)), hAPP(hAPP(c_List_Omap(tc_prod(_u17212, _u17213), _u17213), c_Product__Type_Osnd(_u17212, _u17213)), _u17214)) = _u17214) )).
% 12.21/12.47 cnf(matrix-7173, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17215)), hAPP(c_Code__Numeral_Oof__nat, _u17216)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17215), _u17216))) )).
% 12.21/12.47 cnf(matrix-7174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17219)), hAPP(c_Code__Numeral_Oof__nat, _u17221))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17219), _u17221)) )).
% 12.21/12.47 cnf(matrix-7175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17220), _u17222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17220)), hAPP(c_Code__Numeral_Oof__nat, _u17222))) )).
% 12.21/12.47 cnf(matrix-7176, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17223), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17224), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17224)), _u17225)))) | hBOOL(hAPP(hAPP(c_member(_u17224), hAPP(c_Random_Opick(_u17224, _u17225), _u17223)), hAPP(c_List_Oset(_u17224), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17224), _u17224), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17224)), _u17225)))) )).
% 12.21/12.47 cnf(matrix-7177, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17226)), _u17227) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17228)), _u17229)) | ( hAPP(hAPP(c_List_Ozip(_u17226, _u17228), _u17227), _u17229) != _u17230) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17226, _u17228), _u17226), c_Product__Type_Ofst(_u17226, _u17228)), _u17230) = _u17227) )).
% 12.21/12.47 cnf(matrix-7178, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17226)), _u17227) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17228)), _u17229)) | ( hAPP(hAPP(c_List_Ozip(_u17226, _u17228), _u17227), _u17229) != _u17230) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17226, _u17228), _u17228), c_Product__Type_Osnd(_u17226, _u17228)), _u17230) = _u17229) )).
% 12.21/12.47 cnf(matrix-7179, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17226)), _u17227) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17228)), _u17229)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17226, _u17228), _u17226), c_Product__Type_Ofst(_u17226, _u17228)), _u17230) != _u17227) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17226, _u17228), _u17228), c_Product__Type_Osnd(_u17226, _u17228)), _u17230) != _u17229) | ( hAPP(hAPP(c_List_Ozip(_u17226, _u17228), _u17227), _u17229) = _u17230) )).
% 12.21/12.47 cnf(matrix-7180, plain, ( ( c_List_Olist_Olist__size(_u17231, _u17232, _u17233) = 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(_u17231, tc_Nat_Onat), _u17232), _u17233))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17231)), _u17233))) )).
% 12.21/12.47 cnf(matrix-7181, plain, ( ( _u17235 = 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)), _u17235)) )).
% 12.21/12.47 cnf(matrix-7182, 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)), _u17236)) | ( _u17236 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7183, plain, ( ~class_Groups_Ocomm__monoid__add(_u17237) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17237), _u17238), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17239, _u17240))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17237), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17237), _u17238), c_List_Oupto(_u17239, _u17240)))) )).
% 12.21/12.47 cnf(matrix-7184, plain, ( ~class_Groups_Ocomm__monoid__add(_u17241) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17241), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17241), _u17242), c_List_Oupto(_u17243, _u17244))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17241), _u17242), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17243, _u17244)))) )).
% 12.21/12.47 cnf(matrix-7185, 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, _u17245), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17245)), _u17246)))) | hBOOL(hAPP(hAPP(c_member(_u17245), hAPP(c_Product__Type_Ofst(_u17245, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17245, _u17246), _u17247))), hAPP(c_List_Oset(_u17245), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17245), _u17245), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17245)), _u17246)))) )).
% 12.21/12.47 cnf(matrix-7186, plain, ( ( c_Random_Oselect__weight(_u17248, _u17249) = 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(_u17248, 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, _u17248), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17248)), _u17249)))), hAPP(hAPP(c_COMBB(_u17248, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17248, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17248, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17248, _u17249)))) )).
% 12.21/12.47 cnf(matrix-7187, plain, ( ( c_Random_Oselect(_u17250, _u17251) = 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(_u17250, 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(_u17250)), _u17251)))), hAPP(hAPP(c_COMBB(_u17250, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17250, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17250, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17250, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17250), _u17251)), c_Code__Numeral_Onat__of)))) )).
% 12.21/12.47 cnf(matrix-7188, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17252)), hAPP(c_Code__Numeral_Oof__nat, _u17253)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17252), _u17253))) )).
% 12.21/12.47 cnf(matrix-7189, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17254), _u17255) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17254)), hAPP(c_Code__Numeral_Onat__of, _u17255)))) )).
% 12.21/12.47 cnf(matrix-7190, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17256)) = _u17256) )).
% 12.21/12.47 cnf(matrix-7191, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17257)) = _u17257) )).
% 12.21/12.47 cnf(matrix-7192, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17258)) = _u17258) )).
% 12.21/12.47 cnf(matrix-7193, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17261) != hAPP(c_Code__Numeral_Onat__of, _u17263)) | ( _u17261 = _u17263) )).
% 12.21/12.47 cnf(matrix-7194, plain, ( ( _u17262 != _u17264) | ( hAPP(c_Code__Numeral_Onat__of, _u17262) = hAPP(c_Code__Numeral_Onat__of, _u17264)) )).
% 12.21/12.47 cnf(matrix-7195, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17267) != hAPP(c_Code__Numeral_Onat__of, _u17269)) | ( _u17267 = _u17269) )).
% 12.21/12.47 cnf(matrix-7196, plain, ( ( _u17268 != _u17270) | ( hAPP(c_Code__Numeral_Onat__of, _u17268) = hAPP(c_Code__Numeral_Onat__of, _u17270)) )).
% 12.21/12.47 cnf(matrix-7197, 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))) )).
% 12.21/12.47 cnf(matrix-7198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17273), _u17275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17273)), hAPP(c_Code__Numeral_Onat__of, _u17275))) )).
% 12.21/12.47 cnf(matrix-7199, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17274)), hAPP(c_Code__Numeral_Onat__of, _u17276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17274), _u17276)) )).
% 12.21/12.47 cnf(matrix-7200, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17277)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-7201, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u17278)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17278)) )).
% 12.21/12.47 cnf(matrix-7202, 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)) )).
% 12.21/12.47 cnf(matrix-7203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17281), _u17283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17281)), hAPP(c_Code__Numeral_Onat__of, _u17283))) )).
% 12.21/12.47 cnf(matrix-7204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17282)), hAPP(c_Code__Numeral_Onat__of, _u17284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17282), _u17284)) )).
% 12.21/12.47 cnf(matrix-7205, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17285) = c_Code__Numeral_Onat__of__aux(_u17285, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7206, plain, ( ( c_Code__Numeral_Onat__of__aux(_u17286, _u17287) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17286)), _u17287)) )).
% 12.21/12.47 cnf(matrix-7207, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u17288) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17288)))) )).
% 12.21/12.47 cnf(matrix-7208, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17289), _u17290) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17289)), hAPP(c_Code__Numeral_Onat__of, _u17290)))) )).
% 12.21/12.47 cnf(matrix-7209, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17291), 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, _u17291)) = _u17291) )).
% 12.21/12.47 cnf(matrix-7210, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17292), _u17293) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17292)), hAPP(c_Code__Numeral_Onat__of, _u17293)))) )).
% 12.21/12.47 cnf(matrix-7211, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17294), _u17295) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17294)), hAPP(c_Code__Numeral_Onat__of, _u17295)))) )).
% 12.21/12.47 cnf(matrix-7212, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.47 cnf(matrix-7213, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17296), _u17297) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u17296), _u17297)) )).
% 12.21/12.47 cnf(matrix-7214, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17298, _u17299) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17298), hAPP(c_Code__Numeral_Onat__of, _u17299)))) )).
% 12.21/12.47 cnf(matrix-7215, plain, ( ( _u17300 = 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, _u17300)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17300))) )).
% 12.21/12.47 cnf(matrix-7216, plain, ( ~class_Groups_Omonoid__add(_u17302) | ~class_Groups_Oordered__ab__semigroup__add(_u17302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17302), hAPP(c_List_Omonoid__add__class_Olistsum(_u17302), hAPP(hAPP(c_List_Omap(_u17303, _u17302), _u17305), _u17304))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17302), hAPP(hAPP(c_List_Omap(_u17303, _u17302), _u17306), _u17304)))) | hBOOL(hAPP(hAPP(c_member(_u17303), skolem433(_u17306, _u17305, _u17304, _u17303, _u17302)), hAPP(c_List_Oset(_u17303), _u17304))) )).
% 12.21/12.47 cnf(matrix-7217, plain, ( ~class_Groups_Omonoid__add(_u17302) | ~class_Groups_Oordered__ab__semigroup__add(_u17302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17302), hAPP(c_List_Omonoid__add__class_Olistsum(_u17302), hAPP(hAPP(c_List_Omap(_u17303, _u17302), _u17305), _u17304))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17302), hAPP(hAPP(c_List_Omap(_u17303, _u17302), _u17306), _u17304)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17302), hAPP(_u17305, skolem433(_u17306, _u17305, _u17304, _u17303, _u17302))), hAPP(_u17306, skolem433(_u17306, _u17305, _u17304, _u17303, _u17302)))) )).
% 12.21/12.47 cnf(matrix-7218, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17307), _u17308) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17307, 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)))), _u17308)))) )).
% 12.21/12.47 cnf(matrix-7219, plain, ( ( c_List_Opartition(_u17309, _u17310, _u17311) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17309), tc_List_Olist(_u17309)), _u17312), _u17313)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17309, tc_HOL_Obool)), hAPP(c_List_Oset(_u17309), _u17312)), hAPP(c_List_Oset(_u17309), _u17313)) = hAPP(c_List_Oset(_u17309), _u17311)) )).
% 12.21/12.47 cnf(matrix-7220, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17314)), _u17315), c_List_Olists(_u17314, _u17316))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17314)), _u17315), c_List_Olists(_u17314, _u17317))) | hBOOL(hAPP(c_List_Olistsp(_u17314, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17314, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17314, tc_fun(_u17314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17314)), _u17316)), hAPP(hAPP(c_COMBC(_u17314, tc_fun(_u17314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17314)), _u17317))), _u17315)) )).
% 12.21/12.47 cnf(matrix-7221, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17318, _u17319), c_List_Olist_ONil(_u17318))) )).
% 12.21/12.47 cnf(matrix-7222, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17320, _u17321), c_List_Olist_ONil(_u17320))) )).
% 12.21/12.47 cnf(matrix-7223, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17327, _u17329), _u17331)) | ~hBOOL(hAPP(hAPP(c_member(_u17327), _u17322), hAPP(c_List_Oset(_u17327), _u17331))) | hBOOL(hAPP(_u17329, _u17322)) )).
% 12.21/12.47 cnf(matrix-7224, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17328, _u17330), _u17332)) | hBOOL(hAPP(hAPP(c_member(_u17328), skolem434(_u17332, _u17330, _u17328)), hAPP(c_List_Oset(_u17328), _u17332))) )).
% 12.21/12.47 cnf(matrix-7225, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17328, _u17330), _u17332)) | ~hBOOL(hAPP(_u17330, skolem434(_u17332, _u17330, _u17328))) )).
% 12.21/12.47 cnf(matrix-7226, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17337, hAPP(hAPP(c_COMBS(_u17337, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17337), c_fconj), _u17339)), _u17341)), _u17343)) | hBOOL(hAPP(c_List_Olistsp(_u17337, _u17339), _u17343)) )).
% 12.21/12.47 cnf(matrix-7227, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17337, hAPP(hAPP(c_COMBS(_u17337, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17337), c_fconj), _u17339)), _u17341)), _u17343)) | hBOOL(hAPP(c_List_Olistsp(_u17337, _u17341), _u17343)) )).
% 12.21/12.47 cnf(matrix-7228, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17338, _u17340), _u17344)) | ~hBOOL(hAPP(c_List_Olistsp(_u17338, _u17342), _u17344)) | hBOOL(hAPP(c_List_Olistsp(_u17338, hAPP(hAPP(c_COMBS(_u17338, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17338), c_fconj), _u17340)), _u17342)), _u17344)) )).
% 12.21/12.47 cnf(matrix-7229, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17345, _u17346), _u17347)) | ~hBOOL(hAPP(c_List_Olistsp(_u17345, _u17348), _u17347)) | hBOOL(hAPP(c_List_Olistsp(_u17345, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17345, tc_HOL_Obool)), _u17346), _u17348)), _u17347)) )).
% 12.21/12.47 cnf(matrix-7230, plain, ( ( c_List_Olistsp(_u17349, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17349, tc_HOL_Obool)), _u17350), _u17351)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17349), tc_HOL_Obool)), c_List_Olistsp(_u17349, _u17350)), c_List_Olistsp(_u17349, _u17351))) )).
% 12.21/12.47 cnf(matrix-7231, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17356, _u17358), hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17360), _u17362))) | hBOOL(hAPP(_u17358, _u17360)) )).
% 12.21/12.47 cnf(matrix-7232, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17356, _u17358), hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17360), _u17362))) | hBOOL(hAPP(c_List_Olistsp(_u17356, _u17358), _u17362)) )).
% 12.21/12.47 cnf(matrix-7233, plain, ( ~hBOOL(hAPP(_u17359, _u17361)) | ~hBOOL(hAPP(c_List_Olistsp(_u17357, _u17359), _u17363)) | hBOOL(hAPP(c_List_Olistsp(_u17357, _u17359), hAPP(hAPP(c_List_Olist_OCons(_u17357), _u17361), _u17363))) )).
% 12.21/12.47 cnf(matrix-7234, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17368, _u17370), hAPP(hAPP(c_List_Oappend(_u17368), _u17372), _u17374))) | hBOOL(hAPP(c_List_Olistsp(_u17368, _u17370), _u17372)) )).
% 12.21/12.47 cnf(matrix-7235, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17368, _u17370), hAPP(hAPP(c_List_Oappend(_u17368), _u17372), _u17374))) | hBOOL(hAPP(c_List_Olistsp(_u17368, _u17370), _u17374)) )).
% 12.21/12.47 cnf(matrix-7236, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17369, _u17371), _u17373)) | ~hBOOL(hAPP(c_List_Olistsp(_u17369, _u17371), _u17375)) | hBOOL(hAPP(c_List_Olistsp(_u17369, _u17371), hAPP(hAPP(c_List_Oappend(_u17369), _u17373), _u17375))) )).
% 12.21/12.47 cnf(matrix-7237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17376, tc_HOL_Obool)), _u17377), _u17378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17376), tc_HOL_Obool)), c_List_Olistsp(_u17376, _u17377)), c_List_Olistsp(_u17376, _u17378))) )).
% 12.21/12.47 cnf(matrix-7238, plain, ( ( c_List_Opartition(_u17381, _u17382, _u17383) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17381), tc_List_Olist(_u17381)), _u17384), _u17385)) | ~hBOOL(hAPP(hAPP(c_member(_u17381), _u17379), hAPP(c_List_Oset(_u17381), _u17384))) | hBOOL(hAPP(_u17382, _u17379)) )).
% 12.21/12.47 cnf(matrix-7239, plain, ( ( c_List_Opartition(_u17381, _u17382, _u17383) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17381), tc_List_Olist(_u17381)), _u17384), _u17385)) | ~hBOOL(hAPP(hAPP(c_member(_u17381), _u17380), hAPP(c_List_Oset(_u17381), _u17385))) | ~hBOOL(hAPP(_u17382, _u17380)) )).
% 12.21/12.47 cnf(matrix-7240, plain, ( ( c_List_Opartition(_u17386, _u17387, c_List_Olist_ONil(_u17386)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17386), tc_List_Olist(_u17386)), c_List_Olist_ONil(_u17386)), c_List_Olist_ONil(_u17386))) )).
% 12.21/12.47 cnf(matrix-7241, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17391, hAPP(hAPP(c_COMBC(_u17391, tc_fun(_u17391, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17391)), _u17393)), _u17395)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17391)), _u17395), c_List_Olists(_u17391, _u17393))) )).
% 12.21/12.47 cnf(matrix-7242, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17392)), _u17396), c_List_Olists(_u17392, _u17394))) | hBOOL(hAPP(c_List_Olistsp(_u17392, hAPP(hAPP(c_COMBC(_u17392, tc_fun(_u17392, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17392)), _u17394)), _u17396)) )).
% 12.21/12.47 cnf(matrix-7243, plain, ( ( c_List_Opartition(_u17397, _u17398, hAPP(hAPP(c_List_Olist_OCons(_u17397), _u17399), _u17400)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17397), tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17397), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17397), tc_fun(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), tc_fun(tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), tc_List_Olist(_u17397)), c_COMBS(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_fun(tc_List_Olist(_u17397), tc_fun(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), tc_List_Olist(_u17397)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_fun(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_List_Olist(_u17397)), hAPP(c_If(tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), hAPP(_u17398, _u17399)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17397), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_List_Olist(_u17397)), c_Product__Type_OPair(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), hAPP(c_List_Olist_OCons(_u17397), _u17399))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17397), tc_fun(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397))), tc_fun(tc_fun(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_fun(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), tc_List_Olist(_u17397)), c_COMBB(tc_List_Olist(_u17397), tc_prod(tc_List_Olist(_u17397), tc_List_Olist(_u17397)), tc_List_Olist(_u17397))), c_Product__Type_OPair(tc_List_Olist(_u17397), tc_List_Olist(_u17397)))), hAPP(c_List_Olist_OCons(_u17397), _u17399)))), c_List_Opartition(_u17397, _u17398, _u17400))) )).
% 12.21/12.47 cnf(matrix-7244, plain, ( ( c_List_Olistsp(_u17401, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17401, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17401, tc_fun(_u17401, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17401)), _u17402)), hAPP(hAPP(c_COMBC(_u17401, tc_fun(_u17401, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17401)), _u17403))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17401), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17401), tc_fun(tc_List_Olist(_u17401), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17401))), c_List_Olists(_u17401, _u17402))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17401), tc_fun(tc_List_Olist(_u17401), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17401))), c_List_Olists(_u17401, _u17403)))) )).
% 12.21/12.47 cnf(matrix-7245, plain, ( ( c_Enum_Oproduct(_u17404, _u17405, hAPP(hAPP(c_List_Olist_OCons(_u17404), _u17406), _u17407), _u17408) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17404, _u17405)), hAPP(hAPP(c_List_Omap(_u17405, tc_prod(_u17404, _u17405)), hAPP(c_Product__Type_OPair(_u17404, _u17405), _u17406)), _u17408)), c_Enum_Oproduct(_u17404, _u17405, _u17407, _u17408))) )).
% 12.21/12.47 cnf(matrix-7246, plain, ( ~c_List_Olist__all2(_u17416, _u17418, _u17420, _u17422, _u17424) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17416)), _u17422) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17418)), _u17424)) )).
% 12.21/12.47 cnf(matrix-7247, plain, ( ~c_List_Olist__all2(_u17416, _u17418, _u17420, _u17422, _u17424) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17416, _u17418)), _u17409), hAPP(c_List_Oset(tc_prod(_u17416, _u17418)), hAPP(hAPP(c_List_Ozip(_u17416, _u17418), _u17422), _u17424)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17416, _u17418, tc_HOL_Obool), _u17420), _u17409)) )).
% 12.21/12.47 cnf(matrix-7248, plain, ( c_List_Olist__all2(_u17417, _u17419, _u17421, _u17423, _u17425) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17417)), _u17423) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17419)), _u17425)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17417, _u17419)), skolem435(_u17425, _u17423, _u17421, _u17419, _u17417)), hAPP(c_List_Oset(tc_prod(_u17417, _u17419)), hAPP(hAPP(c_List_Ozip(_u17417, _u17419), _u17423), _u17425)))) )).
% 12.21/12.47 cnf(matrix-7249, plain, ( c_List_Olist__all2(_u17417, _u17419, _u17421, _u17423, _u17425) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17417)), _u17423) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17419)), _u17425)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17417, _u17419, tc_HOL_Obool), _u17421), skolem435(_u17425, _u17423, _u17421, _u17419, _u17417))) )).
% 12.21/12.47 cnf(matrix-7250, plain, ( ~c_List_Olist__all2(_u17433, _u17435, _u17437, hAPP(hAPP(c_List_Omap(_u17439, _u17433), _u17441), _u17443), _u17445) | c_List_Olist__all2(_u17439, _u17435, hAPP(hAPP(c_COMBB(_u17433, tc_fun(_u17435, tc_HOL_Obool), _u17439), _u17437), _u17441), _u17443, _u17445) )).
% 12.21/12.47 cnf(matrix-7251, plain, ( ~c_List_Olist__all2(_u17440, _u17436, hAPP(hAPP(c_COMBB(_u17434, tc_fun(_u17436, tc_HOL_Obool), _u17440), _u17438), _u17442), _u17444, _u17446) | c_List_Olist__all2(_u17434, _u17436, _u17438, hAPP(hAPP(c_List_Omap(_u17440, _u17434), _u17442), _u17444), _u17446) )).
% 12.21/12.47 cnf(matrix-7252, plain, ( ~c_List_Olist__all2(_u17454, _u17456, _u17458, _u17460, hAPP(hAPP(c_List_Omap(_u17462, _u17456), _u17464), _u17466)) | c_List_Olist__all2(_u17454, _u17462, hAPP(hAPP(c_COMBC(_u17454, tc_fun(_u17462, _u17456), tc_fun(_u17462, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17456, tc_HOL_Obool), tc_fun(tc_fun(_u17462, _u17456), tc_fun(_u17462, tc_HOL_Obool)), _u17454), c_COMBB(_u17456, tc_HOL_Obool, _u17462)), _u17458)), _u17464), _u17460, _u17466) )).
% 12.21/12.47 cnf(matrix-7253, plain, ( ~c_List_Olist__all2(_u17455, _u17463, hAPP(hAPP(c_COMBC(_u17455, tc_fun(_u17463, _u17457), tc_fun(_u17463, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17457, tc_HOL_Obool), tc_fun(tc_fun(_u17463, _u17457), tc_fun(_u17463, tc_HOL_Obool)), _u17455), c_COMBB(_u17457, tc_HOL_Obool, _u17463)), _u17459)), _u17465), _u17461, _u17467) | c_List_Olist__all2(_u17455, _u17457, _u17459, _u17461, hAPP(hAPP(c_List_Omap(_u17463, _u17457), _u17465), _u17467)) )).
% 12.21/12.47 cnf(matrix-7254, plain, ( ~c_List_Olist__all2(_u17468, _u17469, _u17470, _u17471, _u17472) | c_List_Olist__all2(_u17468, _u17469, _u17470, hAPP(hAPP(c_List_Odrop(_u17468), _u17473), _u17471), hAPP(hAPP(c_List_Odrop(_u17469), _u17473), _u17472)) )).
% 12.21/12.47 cnf(matrix-7255, plain, ( ~c_List_Olist__all2(_u17474, _u17475, _u17476, _u17477, _u17478) | ~c_List_Olist__all2(_u17474, _u17475, _u17476, _u17479, _u17480) | c_List_Olist__all2(_u17474, _u17475, _u17476, hAPP(hAPP(c_List_Oappend(_u17474), _u17477), _u17479), hAPP(hAPP(c_List_Oappend(_u17475), _u17478), _u17480)) )).
% 12.21/12.47 cnf(matrix-7256, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17481)), _u17482) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17483)), _u17484)) | ~c_List_Olist__all2(_u17481, _u17483, _u17485, hAPP(hAPP(c_List_Oappend(_u17481), _u17482), _u17486), hAPP(hAPP(c_List_Oappend(_u17483), _u17484), _u17487)) | c_List_Olist__all2(_u17481, _u17483, _u17485, _u17482, _u17484) )).
% 12.21/12.47 cnf(matrix-7257, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17481)), _u17482) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17483)), _u17484)) | ~c_List_Olist__all2(_u17481, _u17483, _u17485, hAPP(hAPP(c_List_Oappend(_u17481), _u17482), _u17486), hAPP(hAPP(c_List_Oappend(_u17483), _u17484), _u17487)) | c_List_Olist__all2(_u17481, _u17483, _u17485, _u17486, _u17487) )).
% 12.21/12.47 cnf(matrix-7258, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17481)), _u17482) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17483)), _u17484)) | ~c_List_Olist__all2(_u17481, _u17483, _u17485, _u17482, _u17484) | ~c_List_Olist__all2(_u17481, _u17483, _u17485, _u17486, _u17487) | c_List_Olist__all2(_u17481, _u17483, _u17485, hAPP(hAPP(c_List_Oappend(_u17481), _u17482), _u17486), hAPP(hAPP(c_List_Oappend(_u17483), _u17484), _u17487)) )).
% 12.21/12.47 cnf(matrix-7259, plain, ( ~c_List_Olist__all2(_u17495, _u17497, _u17499, hAPP(hAPP(c_List_Olist_OCons(_u17495), _u17501), _u17503), hAPP(hAPP(c_List_Olist_OCons(_u17497), _u17505), _u17507)) | hBOOL(hAPP(hAPP(_u17499, _u17501), _u17505)) )).
% 12.21/12.47 cnf(matrix-7260, plain, ( ~c_List_Olist__all2(_u17495, _u17497, _u17499, hAPP(hAPP(c_List_Olist_OCons(_u17495), _u17501), _u17503), hAPP(hAPP(c_List_Olist_OCons(_u17497), _u17505), _u17507)) | c_List_Olist__all2(_u17495, _u17497, _u17499, _u17503, _u17507) )).
% 12.21/12.47 cnf(matrix-7261, plain, ( ~hBOOL(hAPP(hAPP(_u17500, _u17502), _u17506)) | ~c_List_Olist__all2(_u17496, _u17498, _u17500, _u17504, _u17508) | c_List_Olist__all2(_u17496, _u17498, _u17500, hAPP(hAPP(c_List_Olist_OCons(_u17496), _u17502), _u17504), hAPP(hAPP(c_List_Olist_OCons(_u17498), _u17506), _u17508)) )).
% 12.21/12.47 cnf(matrix-7262, plain, ( ~c_List_Olist__all2(_u17509, _u17510, _u17511, _u17512, _u17513) | c_List_Olist__all2(_u17509, _u17510, _u17511, hAPP(hAPP(c_List_Otake(_u17509), _u17514), _u17512), hAPP(hAPP(c_List_Otake(_u17510), _u17514), _u17513)) )).
% 12.21/12.47 cnf(matrix-7263, plain, ( ( _u17518 != _u17520) | c_List_Olist__all2(_u17522, _u17522, c_fequal, _u17518, _u17520) )).
% 12.21/12.47 cnf(matrix-7264, plain, ( ~c_List_Olist__all2(_u17523, _u17523, c_fequal, _u17519, _u17521) | ( _u17519 = _u17521) )).
% 12.21/12.47 cnf(matrix-7265, plain, ( ~c_List_Olist__all2(_u17524, _u17525, _u17526, _u17527, _u17528) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17524)), _u17527) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17525)), _u17528)) )).
% 12.21/12.47 cnf(matrix-7266, plain, ( ( _u17539 = c_List_Olist_ONil(_u17535)) | ~c_List_Olist__all2(_u17533, _u17535, _u17537, c_List_Olist_ONil(_u17533), _u17539) )).
% 12.21/12.47 cnf(matrix-7267, plain, ( ( _u17540 != c_List_Olist_ONil(_u17536)) | c_List_Olist__all2(_u17534, _u17536, _u17538, c_List_Olist_ONil(_u17534), _u17540) )).
% 12.21/12.47 cnf(matrix-7268, plain, ( ~c_List_Olist__all2(_u17545, _u17547, _u17549, _u17551, c_List_Olist_ONil(_u17547)) | ( _u17551 = c_List_Olist_ONil(_u17545)) )).
% 12.21/12.47 cnf(matrix-7269, plain, ( ( _u17552 != c_List_Olist_ONil(_u17546)) | c_List_Olist__all2(_u17546, _u17548, _u17550, _u17552, c_List_Olist_ONil(_u17548)) )).
% 12.21/12.47 cnf(matrix-7270, plain, ( ( c_Enum_Oproduct(_u17553, _u17554, c_List_Olist_ONil(_u17553), _u17555) = c_List_Olist_ONil(tc_prod(_u17553, _u17554))) )).
% 12.21/12.47 cnf(matrix-7271, plain, ( ~c_List_Olist__all2(_u17563, _u17565, _u17567, _u17569, _u17571) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17563)), _u17569) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17565)), _u17571)) )).
% 12.21/12.47 cnf(matrix-7272, plain, ( ~c_List_Olist__all2(_u17563, _u17565, _u17567, _u17569, _u17571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17556), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17563)), _u17569))) | hBOOL(hAPP(hAPP(_u17567, hAPP(hAPP(c_List_Onth(_u17563), _u17569), _u17556)), hAPP(hAPP(c_List_Onth(_u17565), _u17571), _u17556))) )).
% 12.21/12.47 cnf(matrix-7273, plain, ( c_List_Olist__all2(_u17564, _u17566, _u17568, _u17570, _u17572) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17564)), _u17570) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17566)), _u17572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem436(_u17572, _u17570, _u17568, _u17566, _u17564)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17564)), _u17570))) )).
% 12.21/12.47 cnf(matrix-7274, plain, ( c_List_Olist__all2(_u17564, _u17566, _u17568, _u17570, _u17572) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17564)), _u17570) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17566)), _u17572)) | ~hBOOL(hAPP(hAPP(_u17568, hAPP(hAPP(c_List_Onth(_u17564), _u17570), skolem436(_u17572, _u17570, _u17568, _u17566, _u17564))), hAPP(hAPP(c_List_Onth(_u17566), _u17572), skolem436(_u17572, _u17570, _u17568, _u17566, _u17564)))) )).
% 12.21/12.47 cnf(matrix-7275, plain, ( ~c_List_Olist__all2(_u17573, _u17574, _u17575, _u17576, _u17577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17578), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17573)), _u17576))) | hBOOL(hAPP(hAPP(_u17575, hAPP(hAPP(c_List_Onth(_u17573), _u17576), _u17578)), hAPP(hAPP(c_List_Onth(_u17574), _u17577), _u17578))) )).
% 12.21/12.47 cnf(matrix-7276, plain, ( ~c_List_Olist__all2(_u17579, _u17580, _u17581, _u17582, _u17583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17584), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17580)), _u17583))) | hBOOL(hAPP(hAPP(_u17581, hAPP(hAPP(c_List_Onth(_u17579), _u17582), _u17584)), hAPP(hAPP(c_List_Onth(_u17580), _u17583), _u17584))) )).
% 12.21/12.47 cnf(matrix-7277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17586)), _u17587))) | ~c_List_Olist__all2(_u17586, _u17588, _u17589, _u17587, _u17590) | ~hBOOL(hAPP(hAPP(_u17589, _u17591), _u17592)) | c_List_Olist__all2(_u17586, _u17588, _u17589, hAPP(hAPP(c_List_Olist__update(_u17586, _u17587), _u17585), _u17591), hAPP(hAPP(c_List_Olist__update(_u17588, _u17590), _u17585), _u17592)) )).
% 12.21/12.47 cnf(matrix-7278, plain, ( ~c_List_Olist__all2(_u17593, _u17594, _u17595, _u17596, _u17597) | ~hBOOL(hAPP(hAPP(_u17595, _u17598), _u17599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17600), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17594)), _u17597))) | c_List_Olist__all2(_u17593, _u17594, _u17595, hAPP(hAPP(c_List_Olist__update(_u17593, _u17596), _u17600), _u17598), hAPP(hAPP(c_List_Olist__update(_u17594, _u17597), _u17600), _u17599)) )).
% 12.21/12.47 cnf(matrix-7279, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17601), _u17602)) | ~hBOOL(hAPP(c_List_Odistinct(_u17603), _u17604)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17601, _u17603)), c_Enum_Oproduct(_u17601, _u17603, _u17602, _u17604))) )).
% 12.21/12.47 cnf(matrix-7280, plain, ( ( hAPP(c_List_Oset(tc_prod(_u17605, _u17606)), c_Enum_Oproduct(_u17605, _u17606, _u17607, _u17608)) = hAPP(hAPP(c_Product__Type_OSigma(_u17605, _u17606), hAPP(c_List_Oset(_u17605), _u17607)), hAPP(c_COMBK(tc_fun(_u17606, tc_HOL_Obool), _u17605), hAPP(c_List_Oset(_u17606), _u17608)))) )).
% 12.21/12.47 cnf(matrix-7281, plain, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u17609), tc_fun(_u17609, tc_HOL_Obool), c_List_Oset(_u17609)), hAPP(c_List_Oset(tc_List_Olist(_u17609)), c_Enum_Osublists(_u17609, _u17610))) = hAPP(c_Set_OPow(_u17609), hAPP(c_List_Oset(_u17609), _u17610))) )).
% 12.21/12.47 cnf(matrix-7282, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17611))), c_Enum_Osublists(_u17611, _u17612)) = 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(_u17611)), _u17612))) )).
% 12.21/12.47 cnf(matrix-7283, plain, ( ( c_Enum_Osublists(_u17613, c_List_Olist_ONil(_u17613)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17613)), c_List_Olist_ONil(_u17613)), c_List_Olist_ONil(tc_List_Olist(_u17613)))) )).
% 12.21/12.47 cnf(matrix-7284, plain, ( ( c_Enum_Osublists(_u17614, hAPP(hAPP(c_List_Olist_OCons(_u17614), _u17615), _u17616)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17614)), tc_List_Olist(tc_List_Olist(_u17614))), c_Enum_Osublists(_u17614, _u17616)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17614)), tc_List_Olist(tc_List_Olist(_u17614)), tc_List_Olist(tc_List_Olist(_u17614))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17614)), tc_fun(tc_List_Olist(tc_List_Olist(_u17614)), tc_List_Olist(tc_List_Olist(_u17614))), tc_List_Olist(tc_List_Olist(_u17614))), c_List_Oappend(tc_List_Olist(_u17614))), hAPP(c_List_Omap(tc_List_Olist(_u17614), tc_List_Olist(_u17614)), hAPP(c_List_Olist_OCons(_u17614), _u17615)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17614)))))) )).
% 12.21/12.47 cnf(matrix-7285, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17617), _u17618)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17617, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17617), tc_fun(_u17617, tc_HOL_Obool)), c_List_Oset(_u17617)), c_Enum_Osublists(_u17617, _u17618)))) )).
% 12.21/12.47 cnf(matrix-7286, plain, ( ( hAPP(c_List_Oset(tc_List_Olist(_u17619)), c_Enum_On__lists(_u17619, _u17620, _u17621)) = hAPP(c_Set_OCollect(tc_List_Olist(_u17619)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17619), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17619)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17619), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17619)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17619)))), _u17620))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17619), tc_fun(_u17619, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17619, tc_HOL_Obool), tc_fun(tc_fun(_u17619, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17619)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17619, tc_HOL_Obool))), c_List_Oset(_u17619))), hAPP(c_List_Oset(_u17619), _u17621))))) )).
% 12.21/12.47 cnf(matrix-7287, plain, ( ( c_Enum_Oenum__the(_u17622, _u17623) = c_HOL_OThe(_u17622, _u17623)) )).
% 12.21/12.47 cnf(matrix-7288, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17624), _u17625)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u17624)), c_Enum_On__lists(_u17624, _u17626, _u17625))) )).
% 12.21/12.47 cnf(matrix-7289, plain, ( ( _u17629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17631, _u17629, c_List_Olist_ONil(_u17631)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17631)), c_List_Olist_ONil(_u17631)), c_List_Olist_ONil(tc_List_Olist(_u17631)))) )).
% 12.21/12.47 cnf(matrix-7290, plain, ( ( _u17630 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17632, _u17630, c_List_Olist_ONil(_u17632)) = c_List_Olist_ONil(tc_List_Olist(_u17632))) )).
% 12.21/12.47 cnf(matrix-7291, plain, ( ( c_Enum_On__lists(_u17633, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17634) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17633)), c_List_Olist_ONil(_u17633)), c_List_Olist_ONil(tc_List_Olist(_u17633)))) )).
% 12.21/12.47 cnf(matrix-7292, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17635))), c_Enum_On__lists(_u17635, _u17636, _u17637)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17635)), _u17637)), _u17636)) )).
% 12.21/12.47 cnf(matrix-7293, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17638)), _u17639), hAPP(c_List_Oset(tc_List_Olist(_u17638)), c_Enum_On__lists(_u17638, _u17640, _u17641)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17638)), _u17639) = _u17640) )).
% 12.21/12.47 cnf(matrix-7294, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17643)), _u17645) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17644)), _u17646)) | c_List_Olist__all2(_u17643, _u17644, _u17647, _u17645, _u17646) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17643, _u17644)), skolem437(_u17647, _u17646, _u17645, _u17644, _u17643)), hAPP(c_List_Oset(tc_prod(_u17643, _u17644)), hAPP(hAPP(c_List_Ozip(_u17643, _u17644), _u17645), _u17646)))) )).
% 12.21/12.47 cnf(matrix-7295, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17643)), _u17645) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17644)), _u17646)) | c_List_Olist__all2(_u17643, _u17644, _u17647, _u17645, _u17646) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17643, _u17644, tc_HOL_Obool), _u17647), skolem437(_u17647, _u17646, _u17645, _u17644, _u17643))) )).
% 12.21/12.47 cnf(matrix-7296, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17649), _u17652), hAPP(c_List_Oset(_u17649), _u17650))) | hBOOL(hAPP(_u17651, _u17652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem438(_u17652, _u17651, _u17650, _u17649)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17649)), _u17650))) )).
% 12.21/12.47 cnf(matrix-7297, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17649), _u17652), hAPP(c_List_Oset(_u17649), _u17650))) | hBOOL(hAPP(_u17651, _u17652)) | ~hBOOL(hAPP(_u17651, hAPP(hAPP(c_List_Onth(_u17649), _u17650), skolem438(_u17652, _u17651, _u17650, _u17649)))) )).
% 12.21/12.47 cnf(matrix-7298, plain, ( ~c_Finite__Set_Ofun__left__comm(_u17653, _u17654, _u17655) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17653, _u17654, _u17655), _u17656), hAPP(c_List_Oset(_u17653), _u17657)) = hAPP(c_List_Ofoldl(_u17654, _u17653, hAPP(c_COMBC(_u17653, _u17654, _u17654), _u17655), _u17656), c_List_Oremdups(_u17653, _u17657))) )).
% 12.21/12.47 cnf(matrix-7299, plain, ( ~c_Fun_Oinj__on(_u17658, _u17659, _u17660, hAPP(hAPP(c_Set_Oinsert(_u17658), _u17661), hAPP(c_List_Oset(_u17658), _u17662))) | ( hAPP(hAPP(c_List_Omap(_u17658, _u17659), _u17660), hAPP(c_List_OremoveAll(_u17658, _u17661), _u17662)) = hAPP(c_List_OremoveAll(_u17659, hAPP(_u17660, _u17661)), hAPP(hAPP(c_List_Omap(_u17658, _u17659), _u17660), _u17662))) )).
% 12.21/12.47 cnf(matrix-7300, plain, ( hBOOL(hAPP(c_List_Odistinct(_u17663), c_List_Oremdups(_u17663, _u17664))) )).
% 12.21/12.47 cnf(matrix-7301, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17665)), c_List_Oremdups(_u17665, _u17666))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17665)), _u17666))) )).
% 12.21/12.47 cnf(matrix-7302, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17667), _u17668)) | ( c_List_Oremdups(_u17667, _u17668) = _u17668) )).
% 12.21/12.47 cnf(matrix-7303, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17669), _u17670)) | hBOOL(hAPP(c_List_Odistinct(_u17669), hAPP(c_List_OremoveAll(_u17669, _u17671), _u17670))) )).
% 12.21/12.47 cnf(matrix-7304, plain, ( ( c_List_Oremdups(_u17674, _u17676) != _u17676) | hBOOL(hAPP(c_List_Odistinct(_u17674), _u17676)) )).
% 12.21/12.47 cnf(matrix-7305, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17675), _u17677)) | ( c_List_Oremdups(_u17675, _u17677) = _u17677) )).
% 12.21/12.47 cnf(matrix-7306, plain, ( ( hAPP(c_List_Oset(_u17678), c_List_Oremdups(_u17678, _u17679)) = hAPP(c_List_Oset(_u17678), _u17679)) )).
% 12.21/12.47 cnf(matrix-7307, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17682)), c_List_Oremdups(_u17682, _u17684)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17682)), _u17684)) | ( c_List_Oremdups(_u17682, _u17684) = _u17684) )).
% 12.21/12.47 cnf(matrix-7308, plain, ( ( c_List_Oremdups(_u17683, _u17685) != _u17685) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), c_List_Oremdups(_u17683, _u17685)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), _u17685)) )).
% 12.21/12.47 cnf(matrix-7309, plain, ( ( c_List_Oremdups(_u17686, c_List_Oremdups(_u17686, _u17687)) = c_List_Oremdups(_u17686, _u17687)) )).
% 12.21/12.47 cnf(matrix-7310, plain, ( ( c_List_Oremdups(_u17690, _u17692) != c_List_Olist_ONil(_u17690)) | ( _u17692 = c_List_Olist_ONil(_u17690)) )).
% 12.21/12.47 cnf(matrix-7311, plain, ( ( _u17693 != c_List_Olist_ONil(_u17691)) | ( c_List_Oremdups(_u17691, _u17693) = c_List_Olist_ONil(_u17691)) )).
% 12.21/12.47 cnf(matrix-7312, plain, ( ( hAPP(c_List_OremoveAll(_u17694, _u17695), c_List_Olist_ONil(_u17694)) = c_List_Olist_ONil(_u17694)) )).
% 12.21/12.47 cnf(matrix-7313, plain, ( ( c_List_Olist_ONil(_u17698) != c_List_Oremdups(_u17698, _u17700)) | ( _u17700 = c_List_Olist_ONil(_u17698)) )).
% 12.21/12.47 cnf(matrix-7314, plain, ( ( _u17701 != c_List_Olist_ONil(_u17699)) | ( c_List_Olist_ONil(_u17699) = c_List_Oremdups(_u17699, _u17701)) )).
% 12.21/12.47 cnf(matrix-7315, plain, ( ( c_List_Oremdups(_u17702, c_List_Olist_ONil(_u17702)) = c_List_Olist_ONil(_u17702)) )).
% 12.21/12.47 cnf(matrix-7316, plain, ( ( _u17707 != _u17709) | ( hAPP(c_List_OremoveAll(_u17711, _u17707), hAPP(hAPP(c_List_Olist_OCons(_u17711), _u17709), _u17713)) = hAPP(c_List_OremoveAll(_u17711, _u17707), _u17713)) )).
% 12.21/12.48 cnf(matrix-7317, plain, ( ( _u17708 = _u17710) | ( hAPP(c_List_OremoveAll(_u17712, _u17708), hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17710), _u17714)) = hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17710), hAPP(c_List_OremoveAll(_u17712, _u17708), _u17714))) )).
% 12.21/12.48 cnf(matrix-7318, plain, ( ( hAPP(c_List_OremoveAll(_u17715, _u17716), hAPP(hAPP(c_List_Oappend(_u17715), _u17717), _u17718)) = hAPP(hAPP(c_List_Oappend(_u17715), hAPP(c_List_OremoveAll(_u17715, _u17716), _u17717)), hAPP(c_List_OremoveAll(_u17715, _u17716), _u17718))) )).
% 12.21/12.48 cnf(matrix-7319, plain, ( ( c_List_Oremdups(_u17719, hAPP(hAPP(c_List_Omap(_u17720, _u17719), _u17721), c_List_Oremdups(_u17720, _u17722))) = c_List_Oremdups(_u17719, hAPP(hAPP(c_List_Omap(_u17720, _u17719), _u17721), _u17722))) )).
% 12.21/12.48 cnf(matrix-7320, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17723), _u17724)) | ( c_List_Oremove1(_u17723, _u17725, c_List_Oremdups(_u17723, _u17724)) = c_List_Oremdups(_u17723, c_List_Oremove1(_u17723, _u17725, _u17724))) )).
% 12.21/12.48 cnf(matrix-7321, plain, ( hBOOL(hAPP(hAPP(c_member(_u17726), _u17727), hAPP(c_List_Oset(_u17726), _u17728))) | ( hAPP(c_List_OremoveAll(_u17726, _u17727), _u17728) = _u17728) )).
% 12.21/12.48 cnf(matrix-7322, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17729), _u17730)) | ( c_List_Oremove1(_u17729, _u17731, _u17730) = hAPP(c_List_OremoveAll(_u17729, _u17731), _u17730)) )).
% 12.21/12.48 cnf(matrix-7323, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17735), _u17737), hAPP(c_List_Oset(_u17735), _u17739))) | ( c_List_Oremdups(_u17735, hAPP(hAPP(c_List_Olist_OCons(_u17735), _u17737), _u17739)) = c_List_Oremdups(_u17735, _u17739)) )).
% 12.21/12.48 cnf(matrix-7324, plain, ( hBOOL(hAPP(hAPP(c_member(_u17736), _u17738), hAPP(c_List_Oset(_u17736), _u17740))) | ( c_List_Oremdups(_u17736, hAPP(hAPP(c_List_Olist_OCons(_u17736), _u17738), _u17740)) = hAPP(hAPP(c_List_Olist_OCons(_u17736), _u17738), c_List_Oremdups(_u17736, _u17740))) )).
% 12.21/12.48 cnf(matrix-7325, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17741)), c_List_Oremdups(_u17741, _u17742)) = hAPP(c_Finite__Set_Ocard(_u17741), hAPP(c_List_Oset(_u17741), _u17742))) )).
% 12.21/12.48 cnf(matrix-7326, plain, ( ~c_Fun_Oinj__on(_u17743, _u17744, _u17745, c_Orderings_Otop__class_Otop(tc_fun(_u17743, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17743, _u17744), _u17745), hAPP(c_List_OremoveAll(_u17743, _u17746), _u17747)) = hAPP(c_List_OremoveAll(_u17744, hAPP(_u17745, _u17746)), hAPP(hAPP(c_List_Omap(_u17743, _u17744), _u17745), _u17747))) )).
% 12.21/12.48 cnf(matrix-7327, plain, ( ( hAPP(c_List_Oset(_u17748), hAPP(c_List_OremoveAll(_u17748, _u17749), _u17750)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17748, tc_HOL_Obool)), hAPP(c_List_Oset(_u17748), _u17750)), hAPP(hAPP(c_Set_Oinsert(_u17748), _u17749), c_Orderings_Obot__class_Obot(tc_fun(_u17748, tc_HOL_Obool))))) )).
% 12.21/12.48 cnf(matrix-7328, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17751)), c_List_Oremdups(_u17751, c_List_Oconcat(_u17751, _u17752))) = hAPP(c_Finite__Set_Ocard(_u17751), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17751), tc_fun(_u17751, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17751)), _u17752)), c_List_Oset(_u17751)))) )).
% 12.21/12.48 cnf(matrix-7329, plain, ( ~class_Orderings_Olinorder(_u17753) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17753, hAPP(c_List_Oset(_u17753), _u17754)) = c_List_Olinorder__class_Osort__key(_u17753, _u17753, c_COMBI(_u17753), c_List_Oremdups(_u17753, _u17754))) )).
% 12.21/12.48 cnf(matrix-7330, plain, ( ~class_Orderings_Olinorder(_u17755) | ( c_List_Olinorder__class_Osort__key(_u17756, _u17755, _u17757, c_List_Olist_ONil(_u17756)) = c_List_Olist_ONil(_u17756)) )).
% 12.21/12.48 cnf(matrix-7331, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17758), tc_List_Olist(_u17758), c_List_Oappend(_u17758), _u17759), _u17760) = hAPP(hAPP(c_List_Oappend(_u17758), _u17759), c_List_Oconcat(_u17758, _u17760))) )).
% 12.21/12.48 cnf(matrix-7332, plain, ( ( c_List_Oconcat(_u17761, _u17762) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17761), tc_List_Olist(_u17761), c_List_Oappend(_u17761), c_List_Olist_ONil(_u17761)), _u17762)) )).
% 12.21/12.48 cnf(matrix-7333, plain, ( ~class_Orderings_Olinorder(_u17763) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17764)), c_List_Olinorder__class_Osort__key(_u17764, _u17763, _u17765, _u17766)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17764)), _u17766)) )).
% 12.21/12.48 cnf(matrix-7334, plain, ( ~class_Orderings_Olinorder(_u17767) | ( hAPP(c_List_Oset(_u17768), c_List_Olinorder__class_Osort__key(_u17768, _u17767, _u17769, _u17770)) = hAPP(c_List_Oset(_u17768), _u17770)) )).
% 12.21/12.48 cnf(matrix-7335, plain, ( ~class_Orderings_Olinorder(_u17771) | ~hBOOL(hAPP(c_List_Odistinct(_u17772), c_List_Olinorder__class_Osort__key(_u17772, _u17771, _u17773, _u17774))) | hBOOL(hAPP(c_List_Odistinct(_u17772), _u17774)) )).
% 12.21/12.48 cnf(matrix-7336, plain, ( ~class_Orderings_Olinorder(_u17771) | ~hBOOL(hAPP(c_List_Odistinct(_u17772), _u17774)) | hBOOL(hAPP(c_List_Odistinct(_u17772), c_List_Olinorder__class_Osort__key(_u17772, _u17771, _u17773, _u17774))) )).
% 12.21/12.48 cnf(matrix-7337, plain, ( ( c_List_Oconcat(_u17775, c_List_Olist_ONil(tc_List_Olist(_u17775))) = c_List_Olist_ONil(_u17775)) )).
% 12.21/12.48 cnf(matrix-7338, plain, ( ( c_List_Oconcat(_u17776, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17776)), _u17777), _u17778)) = hAPP(hAPP(c_List_Oappend(_u17776), _u17777), c_List_Oconcat(_u17776, _u17778))) )).
% 12.21/12.48 cnf(matrix-7339, plain, ( ( c_List_Oconcat(_u17783, _u17785) != c_List_Olist_ONil(_u17783)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17783)), _u17779), hAPP(c_List_Oset(tc_List_Olist(_u17783)), _u17785))) | ( _u17779 = c_List_Olist_ONil(_u17783)) )).
% 12.21/12.48 cnf(matrix-7340, plain, ( ( c_List_Oconcat(_u17784, _u17786) = c_List_Olist_ONil(_u17784)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17784)), skolem439(_u17786, _u17784)), hAPP(c_List_Oset(tc_List_Olist(_u17784)), _u17786))) )).
% 12.21/12.48 cnf(matrix-7341, plain, ( ( c_List_Oconcat(_u17784, _u17786) = c_List_Olist_ONil(_u17784)) | ( skolem439(_u17786, _u17784) != c_List_Olist_ONil(_u17784)) )).
% 12.21/12.48 cnf(matrix-7342, plain, ( ( c_List_Olist_ONil(_u17791) != c_List_Oconcat(_u17791, _u17793)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17791)), _u17787), hAPP(c_List_Oset(tc_List_Olist(_u17791)), _u17793))) | ( _u17787 = c_List_Olist_ONil(_u17791)) )).
% 12.21/12.48 cnf(matrix-7343, plain, ( ( c_List_Olist_ONil(_u17792) = c_List_Oconcat(_u17792, _u17794)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17792)), skolem440(_u17794, _u17792)), hAPP(c_List_Oset(tc_List_Olist(_u17792)), _u17794))) )).
% 12.21/12.48 cnf(matrix-7344, plain, ( ( c_List_Olist_ONil(_u17792) = c_List_Oconcat(_u17792, _u17794)) | ( skolem440(_u17794, _u17792) != c_List_Olist_ONil(_u17792)) )).
% 12.21/12.48 cnf(matrix-7345, plain, ( ( hAPP(hAPP(c_List_Omap(_u17795, _u17796), _u17797), c_List_Oconcat(_u17795, _u17798)) = c_List_Oconcat(_u17796, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17795), tc_List_Olist(_u17796)), hAPP(c_List_Omap(_u17795, _u17796), _u17797)), _u17798))) )).
% 12.21/12.48 cnf(matrix-7346, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17799)), c_List_Oconcat(_u17799, _u17800)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17799), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17799))), _u17800))) )).
% 12.21/12.48 cnf(matrix-7347, plain, ( ( hAPP(c_List_Oset(_u17801), c_List_Oconcat(_u17801, _u17802)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17801), tc_fun(_u17801, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17801)), _u17802)), c_List_Oset(_u17801))) )).
% 12.21/12.48 cnf(matrix-7348, plain, ( ~class_Orderings_Olinorder(_u17803) | ( c_List_Olinorder__class_Osort__key(_u17804, _u17803, _u17805, hAPP(hAPP(c_List_Olist_OCons(_u17804), _u17806), _u17807)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17804, _u17803, _u17805), _u17806), c_List_Olinorder__class_Osort__key(_u17804, _u17803, _u17805, _u17807))) )).
% 12.21/12.48 cnf(matrix-7349, plain, ( ( c_List_Oconcat(_u17808, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17808)), _u17809), _u17810)) = hAPP(hAPP(c_List_Oappend(_u17808), c_List_Oconcat(_u17808, _u17809)), c_List_Oconcat(_u17808, _u17810))) )).
% 12.21/12.48 cnf(matrix-7350, plain, ( ~class_Orderings_Olinorder(_u17811) | ( c_List_Olinorder__class_Osort__key(_u17811, _u17811, c_COMBI(_u17811), _u17812) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17811), _u17811, hAPP(c_COMBC(_u17811, tc_List_Olist(_u17811), tc_List_Olist(_u17811)), c_List_Olinorder__class_Oinsort__key(_u17811, _u17811, c_COMBI(_u17811))), c_List_Olist_ONil(_u17811)), _u17812)) )).
% 12.21/12.48 cnf(matrix-7351, plain, ( ( c_List_Oconcat(_u17814, _u17815) != c_List_Oconcat(_u17814, _u17816)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17814))), _u17815) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17814))), _u17816)) | ( _u17815 = _u17816) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17814), tc_List_Olist(_u17814))), skolem441(_u17816, _u17815, _u17814)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17814), tc_List_Olist(_u17814))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17814), tc_List_Olist(_u17814)), _u17815), _u17816)))) )).
% 12.21/12.48 cnf(matrix-7352, plain, ( ( c_List_Oconcat(_u17814, _u17815) != c_List_Oconcat(_u17814, _u17816)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17814))), _u17815) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17814))), _u17816)) | ( _u17815 = _u17816) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17814), tc_List_Olist(_u17814), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17814), tc_fun(tc_List_Olist(_u17814), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17814), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17814), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17814), tc_HOL_Obool)), tc_List_Olist(_u17814)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17814))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17814)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17814))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17814)))), skolem441(_u17816, _u17815, _u17814))) )).
% 12.21/12.48 cnf(matrix-7353, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17818), tc_List_Olist(_u17818))), skolem442(_u17820, _u17819, _u17818)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17818), tc_List_Olist(_u17818))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17818), tc_List_Olist(_u17818)), _u17819), _u17820)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17820)) | ( c_List_Oconcat(_u17818, _u17819) != c_List_Oconcat(_u17818, _u17820)) | ( _u17819 = _u17820) )).
% 12.21/12.48 cnf(matrix-7354, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17818), tc_List_Olist(_u17818))), skolem442(_u17820, _u17819, _u17818)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17818), tc_List_Olist(_u17818))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17818), tc_List_Olist(_u17818)), _u17819), _u17820)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17820)) | ( _u17819 != _u17820) | ( c_List_Oconcat(_u17818, _u17819) = c_List_Oconcat(_u17818, _u17820)) )).
% 12.21/12.48 cnf(matrix-7355, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17818), tc_List_Olist(_u17818), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17818), tc_fun(tc_List_Olist(_u17818), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17818), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool)), tc_List_Olist(_u17818)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17818))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17818)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17818))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17818)))), skolem442(_u17820, _u17819, _u17818))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17820)) | ( c_List_Oconcat(_u17818, _u17819) != c_List_Oconcat(_u17818, _u17820)) | ( _u17819 = _u17820) )).
% 12.21/12.48 cnf(matrix-7356, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17818), tc_List_Olist(_u17818), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17818), tc_fun(tc_List_Olist(_u17818), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17818), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool)), tc_List_Olist(_u17818)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17818))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17818)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17818))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17818)))), skolem442(_u17820, _u17819, _u17818))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17818))), _u17820)) | ( _u17819 != _u17820) | ( c_List_Oconcat(_u17818, _u17819) = c_List_Oconcat(_u17818, _u17820)) )).
% 12.21/12.48 cnf(matrix-7357, plain, ( ( c_List_Oconcat(_u17821, hAPP(hAPP(c_List_Omap(_u17822, tc_List_Olist(_u17821)), hAPP(hAPP(c_COMBC(_u17822, tc_List_Olist(_u17821), tc_List_Olist(_u17821)), hAPP(hAPP(c_COMBB(_u17821, tc_fun(tc_List_Olist(_u17821), tc_List_Olist(_u17821)), _u17822), c_List_Olist_OCons(_u17821)), _u17823)), c_List_Olist_ONil(_u17821))), _u17824)) = hAPP(hAPP(c_List_Omap(_u17822, _u17821), _u17823), _u17824)) )).
% 12.21/12.48 cnf(matrix-7358, plain, ( ( c_Enum_On__lists(_u17825, hAPP(c_Nat_OSuc, _u17826), _u17827) = c_List_Oconcat(tc_List_Olist(_u17825), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17825), tc_List_Olist(tc_List_Olist(_u17825))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17825), tc_List_Olist(_u17825), tc_List_Olist(tc_List_Olist(_u17825))), hAPP(hAPP(c_COMBB(tc_fun(_u17825, tc_List_Olist(_u17825)), tc_fun(tc_List_Olist(_u17825), tc_List_Olist(tc_List_Olist(_u17825))), tc_List_Olist(_u17825)), c_List_Omap(_u17825, tc_List_Olist(_u17825))), hAPP(c_COMBC(_u17825, tc_List_Olist(_u17825), tc_List_Olist(_u17825)), c_List_Olist_OCons(_u17825)))), _u17827)), c_Enum_On__lists(_u17825, _u17826, _u17827)))) )).
% 12.21/12.48 cnf(matrix-7359, plain, ( ( c_List_Otranspose(_u17828, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17828)), hAPP(hAPP(c_List_Olist_OCons(_u17828), _u17829), _u17830)), _u17831)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17828)), hAPP(hAPP(c_List_Olist_OCons(_u17828), _u17829), c_List_Oconcat(_u17828, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17828), tc_List_Olist(_u17828)), c_List_Olist_Olist__case(tc_List_Olist(_u17828), _u17828, c_List_Olist_ONil(_u17828), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17828), tc_fun(tc_List_Olist(_u17828), tc_List_Olist(_u17828)), _u17828), c_COMBK(tc_List_Olist(_u17828), tc_List_Olist(_u17828))), hAPP(hAPP(c_COMBC(_u17828, tc_List_Olist(_u17828), tc_List_Olist(_u17828)), c_List_Olist_OCons(_u17828)), c_List_Olist_ONil(_u17828))))), _u17831)))), c_List_Otranspose(_u17828, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17828)), _u17830), c_List_Oconcat(tc_List_Olist(_u17828), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17828), tc_List_Olist(tc_List_Olist(_u17828))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17828)), _u17828, c_List_Olist_ONil(tc_List_Olist(_u17828)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17828), tc_List_Olist(tc_List_Olist(_u17828))), _u17828), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17828), tc_List_Olist(tc_List_Olist(_u17828)), tc_List_Olist(tc_List_Olist(_u17828))), c_List_Olist_OCons(tc_List_Olist(_u17828))), c_List_Olist_ONil(tc_List_Olist(_u17828)))))), _u17831)))))) )).
% 12.21/12.48 cnf(matrix-7360, plain, ( ( c_List_Oconcat(_u17832, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17832), tc_List_Olist(_u17832)), c_List_Olist_Olist__case(tc_List_Olist(_u17832), _u17832, c_List_Olist_ONil(_u17832), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17832), tc_fun(tc_List_Olist(_u17832), tc_List_Olist(_u17832)), _u17832), c_COMBK(tc_List_Olist(_u17832), tc_List_Olist(_u17832))), hAPP(hAPP(c_COMBC(_u17832, tc_List_Olist(_u17832), tc_List_Olist(_u17832)), c_List_Olist_OCons(_u17832)), c_List_Olist_ONil(_u17832))))), _u17833)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17832), _u17832), c_List_Ohd(_u17832)), hAPP(c_List_Ofilter(tc_List_Olist(_u17832), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17832)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17832), tc_List_Olist(_u17832), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17832)))), _u17833))) )).
% 12.21/12.48 cnf(matrix-7361, plain, ( ( hAPP(c_List_Ofilter(_u17834, _u17835), c_List_Oconcat(_u17834, _u17836)) = c_List_Oconcat(_u17834, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17834), tc_List_Olist(_u17834)), c_List_Ofilter(_u17834, _u17835)), _u17836))) )).
% 12.21/12.48 cnf(matrix-7362, plain, ( ~class_Orderings_Olinorder(_u17837) | ( hAPP(c_List_Ofilter(_u17838, _u17839), c_List_Olinorder__class_Osort__key(_u17838, _u17837, _u17840, _u17841)) = c_List_Olinorder__class_Osort__key(_u17838, _u17837, _u17840, hAPP(c_List_Ofilter(_u17838, _u17839), _u17841))) )).
% 12.21/12.48 cnf(matrix-7363, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17842), _u17843)) | hBOOL(hAPP(c_List_Odistinct(_u17842), hAPP(c_List_Ofilter(_u17842, _u17844), _u17843))) )).
% 12.21/12.48 cnf(matrix-7364, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17845, tc_HOL_Obool)), hAPP(c_List_Oset(_u17845), hAPP(c_List_Ofilter(_u17845, _u17846), _u17847))), hAPP(c_List_Oset(_u17845), _u17847))) )).
% 12.21/12.48 cnf(matrix-7365, plain, ( ( hAPP(c_List_Ofilter(_u17853, _u17855), _u17857) != _u17857) | ~hBOOL(hAPP(hAPP(c_member(_u17853), _u17848), hAPP(c_List_Oset(_u17853), _u17857))) | hBOOL(hAPP(_u17855, _u17848)) )).
% 12.21/12.48 cnf(matrix-7366, plain, ( ( hAPP(c_List_Ofilter(_u17854, _u17856), _u17858) = _u17858) | hBOOL(hAPP(hAPP(c_member(_u17854), skolem443(_u17858, _u17856, _u17854)), hAPP(c_List_Oset(_u17854), _u17858))) )).
% 12.21/12.48 cnf(matrix-7367, plain, ( ( hAPP(c_List_Ofilter(_u17854, _u17856), _u17858) = _u17858) | ~hBOOL(hAPP(_u17856, skolem443(_u17858, _u17856, _u17854))) )).
% 12.21/12.48 cnf(matrix-7368, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17859)), hAPP(c_List_Ofilter(_u17859, _u17860), _u17861))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17859)), hAPP(c_List_Ofilter(_u17859, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17859), c_fNot), _u17860)), _u17861))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17859)), _u17861)) )).
% 12.21/12.48 cnf(matrix-7369, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17862)), hAPP(c_List_Ofilter(_u17862, _u17863), _u17864))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17862)), _u17864))) )).
% 12.21/12.48 cnf(matrix-7370, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17865), tc_List_Olist(_u17865)), c_List_Opartition(_u17865, _u17866, _u17867)) = hAPP(c_List_Ofilter(_u17865, _u17866), _u17867)) )).
% 12.21/12.48 cnf(matrix-7371, plain, ( ( hAPP(c_List_Ofilter(_u17868, _u17869), hAPP(c_List_Ofilter(_u17868, _u17870), _u17871)) = hAPP(c_List_Ofilter(_u17868, hAPP(hAPP(c_COMBS(_u17868, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17868), c_fconj), _u17870)), _u17869)), _u17871)) )).
% 12.21/12.48 cnf(matrix-7372, plain, ( ( hAPP(c_List_Ofilter(_u17872, _u17873), c_List_Oremove1(_u17872, _u17874, _u17875)) = c_List_Oremove1(_u17872, _u17874, hAPP(c_List_Ofilter(_u17872, _u17873), _u17875))) )).
% 12.21/12.48 cnf(matrix-7373, plain, ( hBOOL(hAPP(_u17876, _u17877)) | ( c_List_Oremove1(_u17878, _u17877, hAPP(c_List_Ofilter(_u17878, _u17876), _u17879)) = hAPP(c_List_Ofilter(_u17878, _u17876), _u17879)) )).
% 12.21/12.48 cnf(matrix-7374, plain, ( ~class_Orderings_Olinorder(_u17880) | hBOOL(hAPP(_u17881, _u17882)) | ( hAPP(c_List_Ofilter(_u17883, _u17881), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17883, _u17880, _u17884), _u17882), _u17885)) = hAPP(c_List_Ofilter(_u17883, _u17881), _u17885)) )).
% 12.21/12.48 cnf(matrix-7375, plain, ( ( hAPP(c_List_Ofilter(_u17886, _u17887), hAPP(hAPP(c_List_Omap(_u17888, _u17886), _u17889), _u17890)) = hAPP(hAPP(c_List_Omap(_u17888, _u17886), _u17889), hAPP(c_List_Ofilter(_u17888, hAPP(c_Fun_Ocomp(_u17886, tc_HOL_Obool, _u17888, _u17887), _u17889)), _u17890))) )).
% 12.21/12.48 cnf(matrix-7376, plain, ( ( hAPP(c_List_Ofilter(_u17891, _u17892), c_List_Olist_ONil(_u17891)) = c_List_Olist_ONil(_u17891)) )).
% 12.21/12.48 cnf(matrix-7377, plain, ( ( c_List_Otranspose(_u17893, c_List_Olist_ONil(tc_List_Olist(_u17893))) = c_List_Olist_ONil(tc_List_Olist(_u17893))) )).
% 12.21/12.48 cnf(matrix-7378, plain, ( ~hBOOL(hAPP(_u17898, _u17900)) | ( hAPP(c_List_Ofilter(_u17902, _u17898), hAPP(hAPP(c_List_Olist_OCons(_u17902), _u17900), _u17904)) = hAPP(hAPP(c_List_Olist_OCons(_u17902), _u17900), hAPP(c_List_Ofilter(_u17902, _u17898), _u17904))) )).
% 12.21/12.48 cnf(matrix-7379, plain, ( hBOOL(hAPP(_u17899, _u17901)) | ( hAPP(c_List_Ofilter(_u17903, _u17899), hAPP(hAPP(c_List_Olist_OCons(_u17903), _u17901), _u17905)) = hAPP(c_List_Ofilter(_u17903, _u17899), _u17905)) )).
% 12.21/12.48 cnf(matrix-7380, plain, ( ( hAPP(c_List_Ofilter(_u17906, _u17907), hAPP(hAPP(c_List_Oappend(_u17906), _u17908), _u17909)) = hAPP(hAPP(c_List_Oappend(_u17906), hAPP(c_List_Ofilter(_u17906, _u17907), _u17908)), hAPP(c_List_Ofilter(_u17906, _u17907), _u17909))) )).
% 12.21/12.48 cnf(matrix-7381, plain, ( ( hAPP(c_List_Ofilter(_u17915, _u17917), _u17919) != c_List_Olist_ONil(_u17915)) | ~hBOOL(hAPP(hAPP(c_member(_u17915), _u17910), hAPP(c_List_Oset(_u17915), _u17919))) | ~hBOOL(hAPP(_u17917, _u17910)) )).
% 12.21/12.48 cnf(matrix-7382, plain, ( ( hAPP(c_List_Ofilter(_u17916, _u17918), _u17920) = c_List_Olist_ONil(_u17916)) | hBOOL(hAPP(hAPP(c_member(_u17916), skolem444(_u17920, _u17918, _u17916)), hAPP(c_List_Oset(_u17916), _u17920))) )).
% 12.21/12.48 cnf(matrix-7383, plain, ( ( hAPP(c_List_Ofilter(_u17916, _u17918), _u17920) = c_List_Olist_ONil(_u17916)) | hBOOL(hAPP(_u17918, skolem444(_u17920, _u17918, _u17916))) )).
% 12.21/12.48 cnf(matrix-7384, plain, ( ( c_List_Oremdups(_u17921, hAPP(c_List_Ofilter(_u17921, _u17922), _u17923)) = hAPP(c_List_Ofilter(_u17921, _u17922), c_List_Oremdups(_u17921, _u17923))) )).
% 12.21/12.48 cnf(matrix-7385, plain, ( hBOOL(hAPP(_u17924, _u17925)) | ( hAPP(c_List_OremoveAll(_u17926, _u17925), hAPP(c_List_Ofilter(_u17926, _u17924), _u17927)) = hAPP(c_List_Ofilter(_u17926, _u17924), _u17927)) )).
% 12.21/12.48 cnf(matrix-7386, plain, ( ( c_List_OremoveAll(_u17928, _u17929) = c_List_Ofilter(_u17928, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17928), c_fNot), hAPP(c_fequal, _u17929)))) )).
% 12.21/12.48 cnf(matrix-7387, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17930), tc_List_Olist(_u17930)), c_List_Opartition(_u17930, _u17931, _u17932)) = hAPP(c_List_Ofilter(_u17930, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17930, c_fNot), _u17931)), _u17932)) )).
% 12.21/12.48 cnf(matrix-7388, plain, ( ( c_List_Otranspose(_u17933, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17933)), c_List_Olist_ONil(_u17933)), _u17934)) = c_List_Otranspose(_u17933, _u17934)) )).
% 12.21/12.48 cnf(matrix-7389, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17935), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17936))), c_List_Otranspose(_u17936, _u17937)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17936)), c_List_Otranspose(_u17936, _u17937)), _u17935) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17936), _u17936), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17936), tc_Nat_Onat, _u17936), c_List_Onth(_u17936)), _u17935)), hAPP(c_List_Ofilter(tc_List_Olist(_u17936), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17936)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17935)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17936)))), _u17937))) )).
% 12.21/12.48 cnf(matrix-7390, plain, ( ( c_List_Otranspose(_u17938, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17939), tc_List_Olist(_u17938)), hAPP(c_List_Omap(_u17939, _u17938), _u17940)), _u17941)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17939), tc_List_Olist(_u17938)), hAPP(c_List_Omap(_u17939, _u17938), _u17940)), c_List_Otranspose(_u17939, _u17941))) )).
% 12.21/12.48 cnf(matrix-7391, plain, ( ( hAPP(c_List_Oset(_u17942), hAPP(c_List_Ofilter(_u17942, _u17943), _u17944)) = hAPP(c_Set_OCollect(_u17942), hAPP(hAPP(c_COMBS(_u17942, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17942), c_fconj), hAPP(hAPP(c_COMBC(_u17942, tc_fun(_u17942, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17942)), hAPP(c_List_Oset(_u17942), _u17944)))), _u17943))) )).
% 12.21/12.48 cnf(matrix-7392, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17945)), hAPP(c_List_Ofilter(_u17945, _u17946), hAPP(hAPP(c_List_Omap(_u17947, _u17945), _u17948), _u17949))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17947)), hAPP(c_List_Ofilter(_u17947, hAPP(c_Fun_Ocomp(_u17945, tc_HOL_Obool, _u17947, _u17946), _u17948)), _u17949))) )).
% 12.21/12.48 cnf(matrix-7393, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17950), _u17951), hAPP(c_List_Oset(_u17950), _u17952))) | hBOOL(hAPP(_u17953, _u17951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17950)), hAPP(c_List_Ofilter(_u17950, _u17953), _u17952))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17950)), _u17952))) )).
% 12.21/12.48 cnf(matrix-7394, plain, ( ( c_List_Opartition(_u17954, _u17955, _u17956) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17954), tc_List_Olist(_u17954)), hAPP(c_List_Ofilter(_u17954, _u17955), _u17956)), hAPP(c_List_Ofilter(_u17954, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17954, c_fNot), _u17955)), _u17956))) )).
% 12.21/12.48 cnf(matrix-7395, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17957, tc_HOL_Obool)), hAPP(c_List_Oset(_u17957), _u17958)), hAPP(hAPP(c_Set_Oinsert(_u17957), _u17959), c_Orderings_Obot__class_Obot(tc_fun(_u17957, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u17957), hAPP(c_List_Ofilter(_u17957, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17957), c_fNot), hAPP(hAPP(c_COMBC(_u17957, _u17957, tc_HOL_Obool), c_fequal), _u17959))), _u17958))) )).
% 12.21/12.48 cnf(matrix-7396, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17960), _u17961)) | ( hAPP(c_List_Ofilter(_u17960, hAPP(hAPP(c_COMBC(_u17960, tc_fun(_u17960, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17960)), hAPP(c_List_Oset(_u17960), c_List_Osublist(_u17960, _u17961, _u17962)))), _u17961) = c_List_Osublist(_u17960, _u17961, _u17962)) )).
% 12.21/12.48 cnf(matrix-7397, plain, ( ( c_List_Otranspose(_u17967, _u17969) != c_List_Olist_ONil(tc_List_Olist(_u17967))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17967)), _u17963), hAPP(c_List_Oset(tc_List_Olist(_u17967)), _u17969))) | ( _u17963 = c_List_Olist_ONil(_u17967)) )).
% 12.21/12.48 cnf(matrix-7398, plain, ( ( c_List_Otranspose(_u17968, _u17970) = c_List_Olist_ONil(tc_List_Olist(_u17968))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17968)), skolem445(_u17970, _u17968)), hAPP(c_List_Oset(tc_List_Olist(_u17968)), _u17970))) )).
% 12.21/12.48 cnf(matrix-7399, plain, ( ( c_List_Otranspose(_u17968, _u17970) = c_List_Olist_ONil(tc_List_Olist(_u17968))) | ( skolem445(_u17970, _u17968) != c_List_Olist_ONil(_u17968)) )).
% 12.21/12.48 cnf(matrix-7400, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17971)), hAPP(c_List_Ofilter(_u17971, _u17972), _u17973)) = 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(_u17971)), _u17973)))), hAPP(hAPP(c_COMBB(_u17971, tc_HOL_Obool, tc_Nat_Onat), _u17972), hAPP(c_List_Onth(_u17971), _u17973)))))) )).
% 12.21/12.48 cnf(matrix-7401, plain, ( ( c_List_Oconcat(tc_List_Olist(_u17974), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17974), tc_List_Olist(tc_List_Olist(_u17974))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17974)), _u17974, c_List_Olist_ONil(tc_List_Olist(_u17974)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17974), tc_List_Olist(tc_List_Olist(_u17974))), _u17974), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17974), tc_List_Olist(tc_List_Olist(_u17974)), tc_List_Olist(tc_List_Olist(_u17974))), c_List_Olist_OCons(tc_List_Olist(_u17974))), c_List_Olist_ONil(tc_List_Olist(_u17974)))))), _u17975)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17974), tc_List_Olist(_u17974)), c_List_Otl(_u17974)), hAPP(c_List_Ofilter(tc_List_Olist(_u17974), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17974)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17974), tc_List_Olist(_u17974), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17974)))), _u17975))) )).
% 12.21/12.48 cnf(matrix-7402, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17976)), c_List_Otranspose__rel(_u17976)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17976)), hAPP(hAPP(c_List_Olist_OCons(_u17976), _u17977), _u17978)), _u17979))) | ( c_List_Otranspose(_u17976, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17976)), hAPP(hAPP(c_List_Olist_OCons(_u17976), _u17977), _u17978)), _u17979)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17976)), hAPP(hAPP(c_List_Olist_OCons(_u17976), _u17977), c_List_Oconcat(_u17976, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17976), tc_List_Olist(_u17976)), c_List_Olist_Olist__case(tc_List_Olist(_u17976), _u17976, c_List_Olist_ONil(_u17976), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17976), tc_fun(tc_List_Olist(_u17976), tc_List_Olist(_u17976)), _u17976), c_COMBK(tc_List_Olist(_u17976), tc_List_Olist(_u17976))), hAPP(hAPP(c_COMBC(_u17976, tc_List_Olist(_u17976), tc_List_Olist(_u17976)), c_List_Olist_OCons(_u17976)), c_List_Olist_ONil(_u17976))))), _u17979)))), c_List_Otranspose(_u17976, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17976)), _u17978), c_List_Oconcat(tc_List_Olist(_u17976), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17976), tc_List_Olist(tc_List_Olist(_u17976))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17976)), _u17976, c_List_Olist_ONil(tc_List_Olist(_u17976)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17976), tc_List_Olist(tc_List_Olist(_u17976))), _u17976), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17976), tc_List_Olist(tc_List_Olist(_u17976)), tc_List_Olist(tc_List_Olist(_u17976))), c_List_Olist_OCons(tc_List_Olist(_u17976))), c_List_Olist_ONil(tc_List_Olist(_u17976)))))), _u17979)))))) )).
% 12.21/12.48 cnf(matrix-7403, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17980)), c_List_Otranspose__rel(_u17980)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17980)), c_List_Olist_ONil(_u17980)), _u17981))) | ( c_List_Otranspose(_u17980, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17980)), c_List_Olist_ONil(_u17980)), _u17981)) = c_List_Otranspose(_u17980, _u17981)) )).
% 12.21/12.48 cnf(matrix-7404, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17982, tc_Nat_Onat), _u17982), c_Product__Type_Ofst(_u17982, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17982, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17982, tc_Nat_Onat)), _u17983), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u17982, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u17982, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u17982, tc_Nat_Onat), _u17984), _u17985))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17982, tc_Nat_Onat), _u17982), c_Product__Type_Ofst(_u17982, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17982, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17982, tc_Nat_Onat)), _u17983), c_Product__Type_Osnd(_u17982, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u17982, tc_Nat_Onat), _u17984), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u17985))))) )).
% 12.21/12.48 cnf(matrix-7405, plain, ( ( c_Random_Oselect__weight(_u17986, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17986), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17986, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17986, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17986)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17987)) = c_Random_Oselect__weight(_u17986, _u17987)) )).
% 12.21/12.48 cnf(matrix-7406, plain, ( ( c_Random_Opick(_u17988, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17988), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17988, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17988, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17988)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17989)) = c_Random_Opick(_u17988, _u17989)) )).
% 12.21/12.48 cnf(matrix-7407, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17990)), c_List_Otranspose__rel(_u17990)), c_List_Olist_ONil(tc_List_Olist(_u17990)))) | ( c_List_Otranspose(_u17990, c_List_Olist_ONil(tc_List_Olist(_u17990))) = c_List_Olist_ONil(tc_List_Olist(_u17990))) )).
% 12.21/12.48 cnf(matrix-7408, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u17991), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17991)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17991))), c_List_Otranspose(_u17991, _u17992), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17991))), hAPP(c_List_Ofilter(tc_List_Olist(_u17991), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17991)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17991), tc_List_Olist(_u17991), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17991)))), _u17992))) )).
% 12.21/12.48 cnf(matrix-7409, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17993)), _u17994))), c_List_Ofoldr(tc_List_Olist(_u17995), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17995)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17995))), _u17996, 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(_u17993)), _u17994)), c_List_Ofoldr(tc_List_Olist(_u17995), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17995)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17995), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17995)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17995)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u17995), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17995)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17995), tc_List_Olist(_u17995), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17995)))), _u17996), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.21/12.48 cnf(matrix-7410, plain, ( ( c_List_Ofoldr(_u17997, _u17998, _u17999, c_List_Olist_ONil(_u17997), _u18000) = _u18000) )).
% 12.21/12.48 cnf(matrix-7411, plain, ( ( c_List_Ofoldr(_u18001, _u18002, _u18003, hAPP(hAPP(c_List_Olist_OCons(_u18001), _u18004), _u18005), _u18006) = hAPP(hAPP(_u18003, _u18004), c_List_Ofoldr(_u18001, _u18002, _u18003, _u18005, _u18006))) )).
% 12.21/12.48 cnf(matrix-7412, plain, ( ( c_List_Ofoldr(_u18007, _u18008, _u18009, hAPP(hAPP(c_List_Oappend(_u18007), _u18010), _u18011), _u18012) = c_List_Ofoldr(_u18007, _u18008, _u18009, _u18010, c_List_Ofoldr(_u18007, _u18008, _u18009, _u18011, _u18012))) )).
% 12.21/12.48 cnf(matrix-7413, plain, ( ~class_Groups_Oab__semigroup__add(_u18013) | ( c_List_Ofoldr(_u18013, _u18013, c_Groups_Oplus__class_Oplus(_u18013), _u18014, _u18015) = hAPP(c_List_Ofoldl(_u18013, _u18013, c_Groups_Oplus__class_Oplus(_u18013), _u18015), _u18014)) )).
% 12.21/12.48 cnf(matrix-7414, plain, ( ( c_List_Ofoldr(_u18016, _u18017, _u18018, hAPP(hAPP(c_List_Omap(_u18019, _u18016), _u18020), _u18021), _u18022) = c_List_Ofoldr(_u18019, _u18017, hAPP(c_Fun_Ocomp(_u18016, tc_fun(_u18017, _u18017), _u18019, _u18018), _u18020), _u18021, _u18022)) )).
% 12.21/12.48 cnf(matrix-7415, plain, ( ~class_Groups_Omonoid__add(_u18023) | ( hAPP(c_List_Ofoldl(_u18023, _u18023, c_Groups_Oplus__class_Oplus(_u18023), c_Groups_Ozero__class_Ozero(_u18023)), _u18024) = c_List_Ofoldr(_u18023, _u18023, c_Groups_Oplus__class_Oplus(_u18023), _u18024, c_Groups_Ozero__class_Ozero(_u18023))) )).
% 12.21/12.48 cnf(matrix-7416, plain, ( ~class_Groups_Omonoid__add(_u18025) | ( hAPP(c_List_Ofoldl(_u18025, _u18025, c_Groups_Oplus__class_Oplus(_u18025), _u18026), _u18027) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18025), _u18026), c_List_Ofoldr(_u18025, _u18025, c_Groups_Oplus__class_Oplus(_u18025), _u18027, c_Groups_Ozero__class_Ozero(_u18025)))) )).
% 12.21/12.48 cnf(matrix-7417, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18028))), c_List_Otranspose(_u18028, _u18029)) = c_List_Ofoldr(tc_List_Olist(_u18028), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18028)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18028))), _u18029, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.48 cnf(matrix-7418, plain, ( ( c_List_Osublist(_u18030, _u18031, _u18032) = hAPP(hAPP(c_List_Omap(tc_prod(_u18030, tc_Nat_Onat), _u18030), c_Product__Type_Ofst(_u18030, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18030, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18030, 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(_u18030, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18030, tc_Nat_Onat))), _u18032)), hAPP(hAPP(c_List_Ozip(_u18030, tc_Nat_Onat), _u18031), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18030)), _u18031)))))) )).
% 12.21/12.48 cnf(matrix-7419, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18033, tc_Nat_Onat), _u18033), c_Product__Type_Ofst(_u18033, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18033, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18033, 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(_u18033, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18033, tc_Nat_Onat))), _u18034)), hAPP(hAPP(c_List_Ozip(_u18033, tc_Nat_Onat), _u18035), c_List_Oupt(_u18036, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18036), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), _u18035)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18033, tc_Nat_Onat), _u18033), c_Product__Type_Ofst(_u18033, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18033, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18033, 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(_u18033, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18033, 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(_u18033, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18033, tc_Nat_Onat))), _u18036))), _u18034)), hAPP(hAPP(c_List_Ozip(_u18033, tc_Nat_Onat), _u18035), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), _u18035)))))) )).
% 12.21/12.48 cnf(matrix-7420, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18037, _u18038)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18037), _u18038)) )).
% 12.21/12.48 cnf(matrix-7421, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18039), _u18040) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18039, _u18040))) )).
% 12.21/12.48 cnf(matrix-7422, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18041), _u18042)) | ( c_List_Oupt(_u18041, hAPP(c_Nat_OSuc, _u18042)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18041, _u18042)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18042), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.21/12.48 cnf(matrix-7423, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18045), _u18047)) | ( c_List_Oupt(_u18045, hAPP(c_Nat_OSuc, _u18047)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18045, _u18047)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18047), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.21/12.48 cnf(matrix-7424, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18046), _u18048)) | ( c_List_Oupt(_u18046, hAPP(c_Nat_OSuc, _u18048)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7425, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18049), _u18050)) | ( c_List_Oupt(_u18049, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18050), _u18051)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18049, _u18050)), c_List_Oupt(_u18050, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18050), _u18051)))) )).
% 12.21/12.48 cnf(matrix-7426, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18054), _u18056)) | ( c_List_Oupt(_u18054, _u18056) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18054), c_List_Oupt(hAPP(c_Nat_OSuc, _u18054), _u18056))) )).
% 12.21/12.48 cnf(matrix-7427, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18055), _u18057)) | ( c_List_Oupt(_u18055, _u18057) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7428, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18058), _u18059)) | ( c_List_Oupt(_u18058, _u18059) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18058), c_List_Oupt(hAPP(c_Nat_OSuc, _u18058), _u18059))) )).
% 12.21/12.48 cnf(matrix-7429, plain, ( ( c_List_Oupt(_u18062, _u18064) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18064 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), _u18062)) )).
% 12.21/12.48 cnf(matrix-7430, plain, ( ( c_List_Oupt(_u18063, _u18065) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18065 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7431, plain, ( ( c_List_Oupt(_u18063, _u18065) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18065), _u18063)) )).
% 12.21/12.48 cnf(matrix-7432, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18066), _u18067)) | ( c_List_Oupt(_u18067, _u18066) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7433, plain, ( ( c_List_Oupt(_u18068, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18069), _u18070)), _u18071)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18070), c_List_Oupt(_u18069, _u18071)) = c_List_Oupt(_u18069, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18069), _u18070))) )).
% 12.21/12.48 cnf(matrix-7435, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18072), _u18073)) = c_List_Oupt(_u18072, _u18073)) )).
% 12.21/12.48 cnf(matrix-7436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18074), _u18075)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18074, _u18075)) = _u18074) )).
% 12.21/12.48 cnf(matrix-7437, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18076), c_List_Oupt(_u18077, _u18078)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18077), _u18076), _u18078)) )).
% 12.21/12.48 cnf(matrix-7438, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18079, _u18080))) )).
% 12.21/12.48 cnf(matrix-7439, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18081, _u18082)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18082), _u18081)) )).
% 12.21/12.48 cnf(matrix-7440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18085)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18087))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18085), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18087)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18085)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18085)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18087)))) )).
% 12.21/12.48 cnf(matrix-7441, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18086)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18088))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18086), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18088)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7442, plain, ( ( c_List_Oupt(_u18093, _u18095) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18097), _u18099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18093), _u18095)) )).
% 12.21/12.48 cnf(matrix-7443, plain, ( ( c_List_Oupt(_u18093, _u18095) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18097), _u18099)) | ( _u18093 = _u18097) )).
% 12.21/12.48 cnf(matrix-7444, plain, ( ( c_List_Oupt(_u18093, _u18095) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18097), _u18099)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18093), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18095) = _u18099) )).
% 12.21/12.48 cnf(matrix-7445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18094), _u18096)) | ( _u18094 != _u18098) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18094), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18096) != _u18100) | ( c_List_Oupt(_u18094, _u18096) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18098), _u18100)) )).
% 12.21/12.48 cnf(matrix-7446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18101), _u18102)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18101, _u18102)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18102), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.48 cnf(matrix-7447, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18103, _u18104)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18103), hAPP(c_Nat_OSuc, _u18104))) )).
% 12.21/12.48 cnf(matrix-7448, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18105, _u18106) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18105, hAPP(c_Nat_OSuc, _u18106)))) )).
% 12.21/12.48 cnf(matrix-7449, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18107) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18107))) )).
% 12.21/12.48 cnf(matrix-7450, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18108), _u18109)), _u18110)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18108, _u18110)), _u18109) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18108), _u18109)) )).
% 12.21/12.48 cnf(matrix-7451, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18111, _u18112) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18111), hAPP(c_Nat_OSuc, _u18112)))) )).
% 12.21/12.48 cnf(matrix-7452, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18113, _u18114) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18113), _u18114))) )).
% 12.21/12.48 cnf(matrix-7453, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18115) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18115)))) )).
% 12.21/12.48 cnf(matrix-7454, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18116), hAPP(c_List_Onth(_u18116), _u18117)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18116)), _u18117))) = _u18117) )).
% 12.21/12.48 cnf(matrix-7455, plain, ( ~class_Groups_Ocomm__monoid__add(_u18118) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18118), _u18119), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18120, _u18121))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18118), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18118), _u18119), c_List_Oupt(_u18120, _u18121)))) )).
% 12.21/12.48 cnf(matrix-7456, plain, ( ~class_Groups_Ocomm__monoid__add(_u18122) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18122), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18122), _u18123), c_List_Oupt(_u18124, _u18125))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18122), _u18123), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18124, _u18125)))) )).
% 12.21/12.48 cnf(matrix-7457, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18126), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18127), _u18128))) | ( hAPP(hAPP(c_List_Onth(_u18129), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18129), _u18130), c_List_Oupt(_u18128, _u18127))), _u18126) = hAPP(_u18130, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18128), _u18126))) )).
% 12.21/12.48 cnf(matrix-7458, plain, ( ( _u18132 = c_List_Olist_ONil(tc_List_Olist(_u18133))) | ( c_List_Otranspose(_u18133, _u18132) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18133), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18133)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18133), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18133), tc_fun(tc_Nat_Onat, _u18133), tc_Nat_Onat), c_List_Onth(_u18133)), hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18134))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem446(_u18134, _u18133, _u18132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132))) )).
% 12.21/12.48 cnf(matrix-7459, plain, ( ( _u18132 = c_List_Olist_ONil(tc_List_Olist(_u18133))) | ( c_List_Otranspose(_u18133, _u18132) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18133), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18133)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18133), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18133), tc_fun(tc_Nat_Onat, _u18133), tc_Nat_Onat), c_List_Onth(_u18133)), hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18134))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18133)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132), skolem446(_u18134, _u18133, _u18132))) != _u18134) )).
% 12.21/12.48 cnf(matrix-7460, plain, ( ( _u18134 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18133, _u18132) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18133), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18133)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18133), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18133), tc_fun(tc_Nat_Onat, _u18133), tc_Nat_Onat), c_List_Onth(_u18133)), hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18134))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem446(_u18134, _u18133, _u18132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132))) )).
% 12.21/12.48 cnf(matrix-7461, plain, ( ( _u18134 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18133, _u18132) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18133), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18133)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18133)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18133), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18133), tc_fun(tc_Nat_Onat, _u18133), tc_Nat_Onat), c_List_Onth(_u18133)), hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18133))), _u18132)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18134))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18133)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18133)), _u18132), skolem446(_u18134, _u18133, _u18132))) != _u18134) )).
% 12.21/12.48 cnf(matrix-7462, plain, ( ~class_Orderings_Olinorder(_u18135) | ~hBOOL(hAPP(hAPP(c_member(_u18136), _u18137), hAPP(c_List_Oset(_u18136), _u18138))) | ~c_List_Olinorder__class_Osorted(_u18135, hAPP(hAPP(c_List_Omap(_u18136, _u18135), _u18139), _u18138)) | ( hAPP(c_List_Ohd(_u18136), hAPP(c_List_Ofilter(_u18136, hAPP(hAPP(c_COMBB(_u18135, tc_HOL_Obool, _u18136), hAPP(c_fequal, hAPP(_u18139, _u18137))), _u18139)), _u18138)) != _u18137) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18136, _u18135, _u18139), _u18137), c_List_Oremove1(_u18136, _u18137, _u18138)) = _u18138) )).
% 12.21/12.48 cnf(matrix-7463, plain, ( ~class_Orderings_Olinorder(_u18140) | c_List_Olinorder__class_Osorted(_u18140, c_List_Olist_ONil(_u18140)) )).
% 12.21/12.48 cnf(matrix-7464, plain, ( ~class_Orderings_Olinorder(_u18141) | c_List_Olinorder__class_Osorted(_u18141, hAPP(hAPP(c_List_Olist_OCons(_u18141), _u18142), c_List_Olist_ONil(_u18141))) )).
% 12.21/12.48 cnf(matrix-7465, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18143, _u18144)) )).
% 12.21/12.48 cnf(matrix-7466, plain, ( ~class_Orderings_Olinorder(_u18145) | c_List_Olinorder__class_Osorted(_u18145, c_List_Olinorder__class_Osort__key(_u18145, _u18145, c_COMBI(_u18145), _u18146)) )).
% 12.21/12.48 cnf(matrix-7467, plain, ( ~class_Orderings_Olinorder(_u18147) | ~c_List_Olinorder__class_Osorted(_u18147, _u18148) | c_List_Olinorder__class_Osorted(_u18147, c_List_Olinorder__class_Oinsort__insert__key(_u18147, _u18147, c_COMBI(_u18147), _u18149, _u18148)) )).
% 12.21/12.48 cnf(matrix-7468, plain, ( ~class_Orderings_Olinorder(_u18150) | ~c_List_Olinorder__class_Osorted(_u18150, _u18151) | c_List_Olinorder__class_Osorted(_u18150, hAPP(hAPP(c_List_Odrop(_u18150), _u18152), _u18151)) )).
% 12.21/12.48 cnf(matrix-7469, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18153, _u18154)) )).
% 12.21/12.48 cnf(matrix-7470, plain, ( ~class_Orderings_Olinorder(_u18155) | ~c_List_Olinorder__class_Osorted(_u18155, _u18156) | c_List_Olinorder__class_Osorted(_u18155, hAPP(hAPP(c_List_Otake(_u18155), _u18157), _u18156)) )).
% 12.21/12.48 cnf(matrix-7471, plain, ( ~class_Orderings_Olinorder(_u18158) | ~c_List_Olinorder__class_Osorted(_u18158, _u18159) | c_List_Olinorder__class_Osorted(_u18158, c_List_Oremove1(_u18158, _u18160, _u18159)) )).
% 12.21/12.48 cnf(matrix-7472, plain, ( ~class_Orderings_Olinorder(_u18161) | ~c_List_Olinorder__class_Osorted(_u18161, _u18162) | c_List_Olinorder__class_Osorted(_u18161, hAPP(c_List_Otl(_u18161), _u18162)) )).
% 12.21/12.48 cnf(matrix-7473, plain, ( ~class_Orderings_Olinorder(_u18163) | ~c_List_Olinorder__class_Osorted(_u18163, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18163, _u18163, c_COMBI(_u18163)), _u18164), _u18165)) | c_List_Olinorder__class_Osorted(_u18163, _u18165) )).
% 12.21/12.48 cnf(matrix-7474, plain, ( ~class_Orderings_Olinorder(_u18163) | ~c_List_Olinorder__class_Osorted(_u18163, _u18165) | c_List_Olinorder__class_Osorted(_u18163, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18163, _u18163, c_COMBI(_u18163)), _u18164), _u18165)) )).
% 12.21/12.48 cnf(matrix-7475, plain, ( ~class_Orderings_Olinorder(_u18166) | ( _u18167 = c_List_Olist_ONil(_u18166)) | ~c_List_Olinorder__class_Osorted(_u18166, _u18167) | c_List_Olinorder__class_Osorted(_u18166, c_List_Obutlast(_u18166, _u18167)) )).
% 12.21/12.48 cnf(matrix-7476, plain, ( ~class_Orderings_Olinorder(_u18168) | c_List_Olinorder__class_Osorted(_u18168, c_List_Olist_ONil(_u18168)) )).
% 12.21/12.48 cnf(matrix-7477, plain, ( ~class_Orderings_Olinorder(_u18169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18169), _u18170), _u18171)) | ~c_List_Olinorder__class_Osorted(_u18169, hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18171), _u18172)) | c_List_Olinorder__class_Osorted(_u18169, hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18170), hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18171), _u18172))) )).
% 12.21/12.48 cnf(matrix-7478, plain, ( ~class_Orderings_Olinorder(_u18173) | ~c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18174), hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18173), _u18174), _u18175)) )).
% 12.21/12.48 cnf(matrix-7479, plain, ( ~class_Orderings_Olinorder(_u18173) | ~c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18174), hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176))) | c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176)) )).
% 12.21/12.48 cnf(matrix-7480, plain, ( ~class_Orderings_Olinorder(_u18173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18173), _u18174), _u18175)) | ~c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176)) | c_List_Olinorder__class_Osorted(_u18173, hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18174), hAPP(hAPP(c_List_Olist_OCons(_u18173), _u18175), _u18176))) )).
% 12.21/12.48 cnf(matrix-7481, plain, ( ~class_Orderings_Olinorder(_u18177) | ~c_List_Olinorder__class_Osorted(_u18177, _u18178) | c_List_Olinorder__class_Osorted(_u18177, c_List_Oremdups(_u18177, _u18178)) )).
% 12.21/12.48 cnf(matrix-7482, plain, ( ~class_Orderings_Olinorder(_u18179) | ~c_List_Olinorder__class_Osorted(_u18179, _u18180) | ~hBOOL(hAPP(c_List_Odistinct(_u18179), _u18180)) | ~c_List_Olinorder__class_Osorted(_u18179, _u18181) | ~hBOOL(hAPP(c_List_Odistinct(_u18179), _u18181)) | ( hAPP(c_List_Oset(_u18179), _u18180) != hAPP(c_List_Oset(_u18179), _u18181)) | ( _u18180 = _u18181) )).
% 12.21/12.48 cnf(matrix-7483, plain, ( ~class_Orderings_Olinorder(_u18182) | c_List_Olinorder__class_Osorted(_u18182, hAPP(hAPP(c_List_Omap(_u18183, _u18182), _u18184), c_List_Olinorder__class_Osort__key(_u18183, _u18182, _u18184, _u18185))) )).
% 12.21/12.48 cnf(matrix-7484, plain, ( ~class_Orderings_Olinorder(_u18186) | ~c_List_Olinorder__class_Osorted(_u18186, hAPP(hAPP(c_List_Omap(_u18187, _u18186), _u18188), _u18189)) | c_List_Olinorder__class_Osorted(_u18186, hAPP(hAPP(c_List_Omap(_u18187, _u18186), _u18188), c_List_Olinorder__class_Oinsort__insert__key(_u18187, _u18186, _u18188, _u18190, _u18189))) )).
% 12.21/12.48 cnf(matrix-7485, plain, ( ~class_Orderings_Olinorder(_u18191) | ~c_List_Olinorder__class_Osorted(_u18191, hAPP(hAPP(c_List_Omap(_u18192, _u18191), _u18193), _u18194)) | c_List_Olinorder__class_Osorted(_u18191, hAPP(hAPP(c_List_Omap(_u18192, _u18191), _u18193), c_List_Oremove1(_u18192, _u18195, _u18194))) )).
% 12.21/12.48 cnf(matrix-7486, plain, ( ~class_Orderings_Olinorder(_u18196) | ~c_List_Olinorder__class_Osorted(_u18196, hAPP(hAPP(c_List_Omap(_u18197, _u18196), _u18198), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18197, _u18196, _u18198), _u18199), _u18200))) | c_List_Olinorder__class_Osorted(_u18196, hAPP(hAPP(c_List_Omap(_u18197, _u18196), _u18198), _u18200)) )).
% 12.21/12.48 cnf(matrix-7487, plain, ( ~class_Orderings_Olinorder(_u18196) | ~c_List_Olinorder__class_Osorted(_u18196, hAPP(hAPP(c_List_Omap(_u18197, _u18196), _u18198), _u18200)) | c_List_Olinorder__class_Osorted(_u18196, hAPP(hAPP(c_List_Omap(_u18197, _u18196), _u18198), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18197, _u18196, _u18198), _u18199), _u18200))) )).
% 12.21/12.48 cnf(matrix-7488, plain, ( ~class_Orderings_Olinorder(_u18201) | ~c_List_Olinorder__class_Osorted(_u18201, hAPP(hAPP(c_List_Omap(_u18202, _u18201), _u18203), _u18204)) | c_List_Olinorder__class_Osorted(_u18201, hAPP(hAPP(c_List_Omap(_u18202, _u18201), _u18203), hAPP(c_List_Ofilter(_u18202, _u18205), _u18204))) )).
% 12.21/12.48 cnf(matrix-7489, plain, ( ~class_Orderings_Olinorder(_u18206) | c_List_Olinorder__class_Osorted(_u18206, hAPP(hAPP(c_List_Omap(_u18207, _u18206), _u18208), hAPP(c_List_Ofilter(_u18207, hAPP(hAPP(c_COMBC(_u18207, _u18206, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18206, tc_fun(_u18206, tc_HOL_Obool), _u18207), c_fequal), _u18208)), hAPP(_u18209, _u18210))), _u18210))) )).
% 12.21/12.48 cnf(matrix-7490, plain, ( ~class_Orderings_Olinorder(_u18211) | c_List_Olinorder__class_Osorted(_u18211, hAPP(c_List_Ofilter(_u18211, hAPP(hAPP(c_COMBC(_u18211, _u18211, tc_HOL_Obool), c_fequal), hAPP(_u18212, _u18213))), _u18213)) )).
% 12.21/12.48 cnf(matrix-7491, plain, ( ~class_Orderings_Olinorder(_u18216) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), _u18218)) | c_List_Olinorder__class_Osorted(_u18216, _u18218) )).
% 12.21/12.48 cnf(matrix-7492, plain, ( ~class_Orderings_Olinorder(_u18216) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), _u18218)) | ~hBOOL(hAPP(hAPP(c_member(_u18216), _u18214), hAPP(c_List_Oset(_u18216), _u18218))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18216), _u18217), _u18214)) )).
% 12.21/12.48 cnf(matrix-7493, plain, ( ~class_Orderings_Olinorder(_u18216) | c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), _u18218)) | ~c_List_Olinorder__class_Osorted(_u18216, _u18218) | hBOOL(hAPP(hAPP(c_member(_u18216), skolem447(_u18218, _u18217, _u18216)), hAPP(c_List_Oset(_u18216), _u18218))) )).
% 12.21/12.48 cnf(matrix-7494, plain, ( ~class_Orderings_Olinorder(_u18216) | c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), _u18218)) | ~c_List_Olinorder__class_Osorted(_u18216, _u18218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18216), _u18217), skolem447(_u18218, _u18217, _u18216))) )).
% 12.21/12.48 cnf(matrix-7495, plain, ( ~class_Orderings_Olinorder(_u18223) | ~c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | c_List_Olinorder__class_Osorted(_u18223, _u18224) )).
% 12.21/12.48 cnf(matrix-7496, plain, ( ~class_Orderings_Olinorder(_u18223) | ~c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | c_List_Olinorder__class_Osorted(_u18223, _u18225) )).
% 12.21/12.48 cnf(matrix-7497, plain, ( ~class_Orderings_Olinorder(_u18223) | ~c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | ~hBOOL(hAPP(hAPP(c_member(_u18223), _u18220), hAPP(c_List_Oset(_u18223), _u18224))) | ~hBOOL(hAPP(hAPP(c_member(_u18223), _u18219), hAPP(c_List_Oset(_u18223), _u18225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18223), _u18220), _u18219)) )).
% 12.21/12.48 cnf(matrix-7498, plain, ( ~class_Orderings_Olinorder(_u18223) | c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | ~c_List_Olinorder__class_Osorted(_u18223, _u18224) | ~c_List_Olinorder__class_Osorted(_u18223, _u18225) | hBOOL(hAPP(hAPP(c_member(_u18223), skolem448(_u18225, _u18224, _u18223)), hAPP(c_List_Oset(_u18223), _u18224))) )).
% 12.21/12.48 cnf(matrix-7499, plain, ( ~class_Orderings_Olinorder(_u18223) | c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | ~c_List_Olinorder__class_Osorted(_u18223, _u18224) | ~c_List_Olinorder__class_Osorted(_u18223, _u18225) | hBOOL(hAPP(hAPP(c_member(_u18223), skolem449(_u18225, _u18224, _u18223)), hAPP(c_List_Oset(_u18223), _u18225))) )).
% 12.21/12.48 cnf(matrix-7500, plain, ( ~class_Orderings_Olinorder(_u18223) | c_List_Olinorder__class_Osorted(_u18223, hAPP(hAPP(c_List_Oappend(_u18223), _u18224), _u18225)) | ~c_List_Olinorder__class_Osorted(_u18223, _u18224) | ~c_List_Olinorder__class_Osorted(_u18223, _u18225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18223), skolem448(_u18225, _u18224, _u18223)), skolem449(_u18225, _u18224, _u18223))) )).
% 12.21/12.48 cnf(matrix-7501, plain, ( ~class_Orderings_Olinorder(_u18226) | ~c_List_Olinorder__class_Osorted(_u18226, hAPP(hAPP(c_List_Omap(_u18227, _u18226), _u18228), _u18229)) | ~hBOOL(hAPP(_u18230, _u18231)) | ( hAPP(c_List_Ofilter(_u18227, _u18230), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18227, _u18226, _u18228), _u18231), _u18229)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18227, _u18226, _u18228), _u18231), hAPP(c_List_Ofilter(_u18227, _u18230), _u18229))) )).
% 12.21/12.48 cnf(matrix-7502, plain, ( ~class_Orderings_Olinorder(_u18234) | ~c_List_Olinorder__class_Osorted(_u18234, hAPP(hAPP(c_List_Olist_OCons(_u18234), _u18235), _u18236)) | ~hBOOL(hAPP(hAPP(c_member(_u18234), _u18232), hAPP(c_List_Oset(_u18234), _u18236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18234), _u18235), _u18232)) )).
% 12.21/12.48 cnf(matrix-7503, plain, ( ~class_Orderings_Olinorder(_u18234) | ~c_List_Olinorder__class_Osorted(_u18234, hAPP(hAPP(c_List_Olist_OCons(_u18234), _u18235), _u18236)) | c_List_Olinorder__class_Osorted(_u18234, _u18236) )).
% 12.21/12.48 cnf(matrix-7504, plain, ( ~class_Orderings_Olinorder(_u18234) | c_List_Olinorder__class_Osorted(_u18234, hAPP(hAPP(c_List_Olist_OCons(_u18234), _u18235), _u18236)) | ~c_List_Olinorder__class_Osorted(_u18234, _u18236) | hBOOL(hAPP(hAPP(c_member(_u18234), skolem450(_u18236, _u18235, _u18234)), hAPP(c_List_Oset(_u18234), _u18236))) )).
% 12.21/12.48 cnf(matrix-7505, plain, ( ~class_Orderings_Olinorder(_u18234) | c_List_Olinorder__class_Osorted(_u18234, hAPP(hAPP(c_List_Olist_OCons(_u18234), _u18235), _u18236)) | ~c_List_Olinorder__class_Osorted(_u18234, _u18236) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18234), _u18235), skolem450(_u18236, _u18235, _u18234))) )).
% 12.21/12.48 cnf(matrix-7506, plain, ( ~class_Orderings_Olinorder(_u18237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18237), _u18238)) | ( hAPP(c_List_Oset(_u18237), c_List_Olinorder__class_Osorted__list__of__set(_u18237, _u18238)) = _u18238) )).
% 12.21/12.48 cnf(matrix-7507, plain, ( ~class_Orderings_Olinorder(_u18237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18237), _u18238)) | c_List_Olinorder__class_Osorted(_u18237, c_List_Olinorder__class_Osorted__list__of__set(_u18237, _u18238)) )).
% 12.21/12.48 cnf(matrix-7508, plain, ( ~class_Orderings_Olinorder(_u18237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18237), _u18238)) | hBOOL(hAPP(c_List_Odistinct(_u18237), c_List_Olinorder__class_Osorted__list__of__set(_u18237, _u18238))) )).
% 12.21/12.48 cnf(matrix-7509, plain, ( ~class_Orderings_Olinorder(_u18239) | ~hBOOL(hAPP(hAPP(c_member(_u18239), _u18240), hAPP(c_List_Oset(_u18239), _u18241))) | ~c_List_Olinorder__class_Osorted(_u18239, _u18241) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18239, _u18239, c_COMBI(_u18239)), _u18240), c_List_Oremove1(_u18239, _u18240, _u18241)) = _u18241) )).
% 12.21/12.48 cnf(matrix-7510, plain, ( ~class_Orderings_Olinorder(_u18246) | ~c_List_Olinorder__class_Osorted(_u18246, _u18247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18243), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18246)), _u18247))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18242), _u18243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18246), hAPP(hAPP(c_List_Onth(_u18246), _u18247), _u18242)), hAPP(hAPP(c_List_Onth(_u18246), _u18247), _u18243))) )).
% 12.21/12.48 cnf(matrix-7511, plain, ( ~class_Orderings_Olinorder(_u18246) | c_List_Olinorder__class_Osorted(_u18246, _u18247) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem451(_u18247, _u18246)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18246)), _u18247))) )).
% 12.21/12.48 cnf(matrix-7512, plain, ( ~class_Orderings_Olinorder(_u18246) | c_List_Olinorder__class_Osorted(_u18246, _u18247) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem452(_u18247, _u18246)), skolem451(_u18247, _u18246))) )).
% 12.21/12.48 cnf(matrix-7513, plain, ( ~class_Orderings_Olinorder(_u18246) | c_List_Olinorder__class_Osorted(_u18246, _u18247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18246), hAPP(hAPP(c_List_Onth(_u18246), _u18247), skolem452(_u18247, _u18246))), hAPP(hAPP(c_List_Onth(_u18246), _u18247), skolem451(_u18247, _u18246)))) )).
% 12.21/12.48 cnf(matrix-7514, plain, ( ~class_Orderings_Olinorder(_u18248) | ~c_List_Olinorder__class_Osorted(_u18248, _u18249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18250), _u18251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18251), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18248)), _u18249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18248), hAPP(hAPP(c_List_Onth(_u18248), _u18249), _u18250)), hAPP(hAPP(c_List_Onth(_u18248), _u18249), _u18251))) )).
% 12.21/12.48 cnf(matrix-7515, plain, ( ~class_Orderings_Olinorder(_u18252) | ~c_Fun_Oinj__on(_u18253, _u18252, _u18254, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18253, tc_HOL_Obool)), hAPP(c_List_Oset(_u18253), _u18255)), hAPP(c_List_Oset(_u18253), _u18256))) | ~c_List_Olinorder__class_Osorted(_u18252, hAPP(hAPP(c_List_Omap(_u18253, _u18252), _u18254), _u18255)) | ~hBOOL(hAPP(c_List_Odistinct(_u18252), hAPP(hAPP(c_List_Omap(_u18253, _u18252), _u18254), _u18255))) | ~c_List_Olinorder__class_Osorted(_u18252, hAPP(hAPP(c_List_Omap(_u18253, _u18252), _u18254), _u18256)) | ~hBOOL(hAPP(c_List_Odistinct(_u18252), hAPP(hAPP(c_List_Omap(_u18253, _u18252), _u18254), _u18256))) | ( hAPP(c_List_Oset(_u18253), _u18255) != hAPP(c_List_Oset(_u18253), _u18256)) | ( _u18255 = _u18256) )).
% 12.21/12.48 cnf(matrix-7516, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18257), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18257))), _u18258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18259), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18257))), _u18258))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18257), _u18257), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18257), tc_Nat_Onat, _u18257), c_List_Onth(_u18257)), _u18259)), hAPP(c_List_Ofilter(tc_List_Olist(_u18257), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18257)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18259)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18257)))), c_List_Otranspose(_u18257, _u18258))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18257)), _u18258), _u18259)) )).
% 12.21/12.48 cnf(matrix-7517, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18260), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18260))), _u18261))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18262), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18260))), c_List_Otranspose(_u18260, _u18261)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18263), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18260))), hAPP(c_List_Ofilter(tc_List_Olist(_u18260), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18260)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18262)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18260)))), _u18261)))) | ( hAPP(hAPP(c_List_Onth(_u18260), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18260)), c_List_Otranspose(_u18260, _u18261)), _u18262)), _u18263) = hAPP(hAPP(c_List_Onth(_u18260), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18260)), _u18261), _u18263)), _u18262)) )).
% 12.21/12.48 cnf(matrix-7518, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u18264), tc_List_Olist(_u18264), c_List_Orev(_u18264), _u18265) )).
% 12.21/12.48 cnf(matrix-7519, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18268), hAPP(c_List_Orev(_u18268), _u18270))) | hBOOL(hAPP(c_List_Odistinct(_u18268), _u18270)) )).
% 12.21/12.48 cnf(matrix-7520, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18269), _u18271)) | hBOOL(hAPP(c_List_Odistinct(_u18269), hAPP(c_List_Orev(_u18269), _u18271))) )).
% 12.21/12.48 cnf(matrix-7521, plain, ( ( hAPP(c_List_Orev(_u18274), _u18276) != c_List_Olist_ONil(_u18274)) | ( _u18276 = c_List_Olist_ONil(_u18274)) )).
% 12.21/12.48 cnf(matrix-7522, plain, ( ( _u18277 != c_List_Olist_ONil(_u18275)) | ( hAPP(c_List_Orev(_u18275), _u18277) = c_List_Olist_ONil(_u18275)) )).
% 12.21/12.48 cnf(matrix-7523, plain, ( ( c_List_Olist_ONil(_u18280) != hAPP(c_List_Orev(_u18280), _u18282)) | ( _u18282 = c_List_Olist_ONil(_u18280)) )).
% 12.21/12.48 cnf(matrix-7524, plain, ( ( _u18283 != c_List_Olist_ONil(_u18281)) | ( c_List_Olist_ONil(_u18281) = hAPP(c_List_Orev(_u18281), _u18283)) )).
% 12.21/12.48 cnf(matrix-7525, plain, ( ( hAPP(c_List_Orev(_u18284), c_List_Olist_ONil(_u18284)) = c_List_Olist_ONil(_u18284)) )).
% 12.21/12.48 cnf(matrix-7526, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18288), _u18290), c_List_Olist_ONil(_u18288)) != hAPP(c_List_Orev(_u18288), _u18292)) | ( _u18292 = hAPP(hAPP(c_List_Olist_OCons(_u18288), _u18290), c_List_Olist_ONil(_u18288))) )).
% 12.21/12.48 cnf(matrix-7527, plain, ( ( _u18293 != hAPP(hAPP(c_List_Olist_OCons(_u18289), _u18291), c_List_Olist_ONil(_u18289))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18289), _u18291), c_List_Olist_ONil(_u18289)) = hAPP(c_List_Orev(_u18289), _u18293)) )).
% 12.21/12.48 cnf(matrix-7528, plain, ( ( hAPP(c_List_Orev(_u18297), _u18299) != hAPP(hAPP(c_List_Olist_OCons(_u18297), _u18301), c_List_Olist_ONil(_u18297))) | ( _u18299 = hAPP(hAPP(c_List_Olist_OCons(_u18297), _u18301), c_List_Olist_ONil(_u18297))) )).
% 12.21/12.48 cnf(matrix-7529, plain, ( ( _u18300 != hAPP(hAPP(c_List_Olist_OCons(_u18298), _u18302), c_List_Olist_ONil(_u18298))) | ( hAPP(c_List_Orev(_u18298), _u18300) = hAPP(hAPP(c_List_Olist_OCons(_u18298), _u18302), c_List_Olist_ONil(_u18298))) )).
% 12.21/12.48 cnf(matrix-7530, plain, ( ( hAPP(c_List_Orev(_u18303), hAPP(hAPP(c_List_Oappend(_u18303), _u18304), _u18305)) = hAPP(hAPP(c_List_Oappend(_u18303), hAPP(c_List_Orev(_u18303), _u18305)), hAPP(c_List_Orev(_u18303), _u18304))) )).
% 12.21/12.48 cnf(matrix-7531, plain, ( ( hAPP(c_List_Orev(_u18306), c_List_Oconcat(_u18306, _u18307)) = c_List_Oconcat(_u18306, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18306), tc_List_Olist(_u18306)), c_List_Orev(_u18306)), hAPP(c_List_Orev(tc_List_Olist(_u18306)), _u18307)))) )).
% 12.21/12.48 cnf(matrix-7532, plain, ( ( hAPP(c_List_Orev(_u18308), hAPP(hAPP(c_List_Omap(_u18309, _u18308), _u18310), _u18311)) = hAPP(hAPP(c_List_Omap(_u18309, _u18308), _u18310), hAPP(c_List_Orev(_u18309), _u18311))) )).
% 12.21/12.48 cnf(matrix-7533, plain, ( ( hAPP(c_List_Orev(_u18312), hAPP(c_List_Ofilter(_u18312, _u18313), _u18314)) = hAPP(c_List_Ofilter(_u18312, _u18313), hAPP(c_List_Orev(_u18312), _u18314))) )).
% 12.21/12.48 cnf(matrix-7534, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18315)), _u18316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18317)), _u18318)) | ( hAPP(hAPP(c_List_Ozip(_u18315, _u18317), hAPP(c_List_Orev(_u18315), _u18316)), hAPP(c_List_Orev(_u18317), _u18318)) = hAPP(c_List_Orev(tc_prod(_u18315, _u18317)), hAPP(hAPP(c_List_Ozip(_u18315, _u18317), _u18316), _u18318))) )).
% 12.21/12.48 cnf(matrix-7535, plain, ( ( hAPP(c_List_Oset(_u18319), hAPP(c_List_Orev(_u18319), _u18320)) = hAPP(c_List_Oset(_u18319), _u18320)) )).
% 12.21/12.48 cnf(matrix-7536, plain, ( ~c_List_Olist__all2(_u18326, _u18328, _u18330, hAPP(c_List_Orev(_u18326), _u18332), hAPP(c_List_Orev(_u18328), _u18334)) | c_List_Olist__all2(_u18326, _u18328, _u18330, _u18332, _u18334) )).
% 12.21/12.48 cnf(matrix-7537, plain, ( ~c_List_Olist__all2(_u18327, _u18329, _u18331, _u18333, _u18335) | c_List_Olist__all2(_u18327, _u18329, _u18331, hAPP(c_List_Orev(_u18327), _u18333), hAPP(c_List_Orev(_u18329), _u18335)) )).
% 12.21/12.48 cnf(matrix-7538, plain, ( ~c_List_Olist__all2(_u18341, _u18343, _u18345, hAPP(c_List_Orev(_u18341), _u18347), _u18349) | c_List_Olist__all2(_u18341, _u18343, _u18345, _u18347, hAPP(c_List_Orev(_u18343), _u18349)) )).
% 12.21/12.48 cnf(matrix-7539, plain, ( ~c_List_Olist__all2(_u18342, _u18344, _u18346, _u18348, hAPP(c_List_Orev(_u18344), _u18350)) | c_List_Olist__all2(_u18342, _u18344, _u18346, hAPP(c_List_Orev(_u18342), _u18348), _u18350) )).
% 12.21/12.48 cnf(matrix-7540, plain, ( ( hAPP(c_List_Orev(_u18351), hAPP(c_List_Orev(_u18351), _u18352)) = _u18352) )).
% 12.21/12.48 cnf(matrix-7541, plain, ( ( hAPP(c_List_Orev(_u18356), _u18358) != _u18360) | ( _u18358 = hAPP(c_List_Orev(_u18356), _u18360)) )).
% 12.21/12.48 cnf(matrix-7542, plain, ( ( _u18359 != hAPP(c_List_Orev(_u18357), _u18361)) | ( hAPP(c_List_Orev(_u18357), _u18359) = _u18361) )).
% 12.21/12.48 cnf(matrix-7543, plain, ( ( _u18367 = _u18369) | ( hAPP(c_List_Orev(_u18365), _u18367) != hAPP(c_List_Orev(_u18365), _u18369)) )).
% 12.21/12.48 cnf(matrix-7544, plain, ( ( _u18368 != _u18370) | ( hAPP(c_List_Orev(_u18366), _u18368) = hAPP(c_List_Orev(_u18366), _u18370)) )).
% 12.21/12.48 cnf(matrix-7545, plain, ( ~class_Groups_Ocomm__monoid__add(_u18371) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18371), hAPP(c_List_Orev(_u18371), _u18372)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18371), _u18372)) )).
% 12.21/12.48 cnf(matrix-7546, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), hAPP(c_List_Orev(_u18373), _u18374)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374)) )).
% 12.21/12.48 cnf(matrix-7547, plain, ( ( c_List_Ofoldr(_u18375, _u18376, _u18377, _u18378, _u18379) = hAPP(c_List_Ofoldl(_u18376, _u18375, hAPP(c_COMBC(_u18375, _u18376, _u18376), _u18377), _u18379), hAPP(c_List_Orev(_u18375), _u18378))) )).
% 12.21/12.48 cnf(matrix-7548, plain, ( ( hAPP(c_List_Ofoldl(_u18380, _u18381, _u18382, _u18383), _u18384) = c_List_Ofoldr(_u18381, _u18380, hAPP(c_COMBC(_u18380, _u18381, _u18380), _u18382), hAPP(c_List_Orev(_u18381), _u18384), _u18383)) )).
% 12.21/12.48 cnf(matrix-7549, plain, ( ( hAPP(c_List_Orev(_u18389), _u18391) != hAPP(hAPP(c_List_Olist_OCons(_u18389), _u18393), _u18395)) | ( _u18391 = hAPP(hAPP(c_List_Oappend(_u18389), hAPP(c_List_Orev(_u18389), _u18395)), hAPP(hAPP(c_List_Olist_OCons(_u18389), _u18393), c_List_Olist_ONil(_u18389)))) )).
% 12.21/12.48 cnf(matrix-7550, plain, ( ( _u18392 != hAPP(hAPP(c_List_Oappend(_u18390), hAPP(c_List_Orev(_u18390), _u18396)), hAPP(hAPP(c_List_Olist_OCons(_u18390), _u18394), c_List_Olist_ONil(_u18390)))) | ( hAPP(c_List_Orev(_u18390), _u18392) = hAPP(hAPP(c_List_Olist_OCons(_u18390), _u18394), _u18396)) )).
% 12.21/12.48 cnf(matrix-7551, plain, ( ( hAPP(c_List_Orev(_u18397), hAPP(hAPP(c_List_Olist_OCons(_u18397), _u18398), _u18399)) = hAPP(hAPP(c_List_Oappend(_u18397), hAPP(c_List_Orev(_u18397), _u18399)), hAPP(hAPP(c_List_Olist_OCons(_u18397), _u18398), c_List_Olist_ONil(_u18397)))) )).
% 12.21/12.48 cnf(matrix-7552, plain, ( ( _u18400 = c_List_Olist_ONil(_u18401)) | ( hAPP(c_List_Ohd(_u18401), hAPP(c_List_Orev(_u18401), _u18400)) = c_List_Olast(_u18401, _u18400)) )).
% 12.21/12.48 cnf(matrix-7553, plain, ( ( _u18402 = c_List_Olist_ONil(_u18403)) | ( c_List_Olast(_u18403, hAPP(c_List_Orev(_u18403), _u18402)) = hAPP(c_List_Ohd(_u18403), _u18402)) )).
% 12.21/12.48 cnf(matrix-7554, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18404), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18404))), c_List_Otranspose(_u18404, _u18405)))) )).
% 12.21/12.48 cnf(matrix-7555, plain, ( ( hAPP(c_List_Orev(_u18406), _u18407) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18406), _u18406, hAPP(c_COMBC(_u18406, tc_List_Olist(_u18406), tc_List_Olist(_u18406)), c_List_Olist_OCons(_u18406)), c_List_Olist_ONil(_u18406)), _u18407)) )).
% 12.21/12.48 cnf(matrix-7556, plain, ( ( hAPP(c_List_Orev(_u18408), hAPP(hAPP(c_List_Odrop(_u18408), _u18409), _u18410)) = hAPP(hAPP(c_List_Otake(_u18408), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18408)), _u18410)), _u18409)), hAPP(c_List_Orev(_u18408), _u18410))) )).
% 12.21/12.48 cnf(matrix-7557, plain, ( ( hAPP(c_List_Orev(_u18411), hAPP(hAPP(c_List_Otake(_u18411), _u18412), _u18413)) = hAPP(hAPP(c_List_Odrop(_u18411), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18411)), _u18413)), _u18412)), hAPP(c_List_Orev(_u18411), _u18413))) )).
% 12.21/12.48 cnf(matrix-7558, plain, ( ( hAPP(c_List_Orotate(_u18414, _u18415), hAPP(c_List_Orev(_u18414), _u18416)) = hAPP(c_List_Orev(_u18414), hAPP(c_List_Orotate(_u18414, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18414)), _u18416)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18415, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18414)), _u18416)))), _u18416))) )).
% 12.21/12.48 cnf(matrix-7559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18417), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18418)), _u18419))) | ( hAPP(hAPP(c_List_Onth(_u18418), hAPP(c_List_Orev(_u18418), _u18419)), _u18417) = hAPP(hAPP(c_List_Onth(_u18418), _u18419), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18418)), _u18419)), hAPP(c_Nat_OSuc, _u18417)))) )).
% 12.21/12.48 cnf(matrix-7560, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18420), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18421)), _u18422))) | ( hAPP(c_List_Orev(_u18421), hAPP(hAPP(c_List_Olist__update(_u18421, _u18422), _u18420), _u18423)) = hAPP(hAPP(c_List_Olist__update(_u18421, hAPP(c_List_Orev(_u18421), _u18422)), 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(_u18421)), _u18422)), _u18420)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18423)) )).
% 12.21/12.48 cnf(matrix-7561, plain, ( ~class_Orderings_Olinorder(_u18424) | ~c_List_Olinorder__class_Osorted(_u18424, hAPP(c_List_Orev(_u18424), _u18425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18426), _u18427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18427), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18424)), _u18425))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18424), hAPP(hAPP(c_List_Onth(_u18424), _u18425), _u18427)), hAPP(hAPP(c_List_Onth(_u18424), _u18425), _u18426))) )).
% 12.21/12.48 cnf(matrix-7562, plain, ( ~class_Orderings_Olinorder(_u18428) | ~c_List_Olinorder__class_Osorted(_u18428, hAPP(c_List_Orev(_u18428), _u18429)) | ( _u18429 != c_List_Olist_ONil(_u18428)) | ( c_List_Ofoldr(_u18428, _u18428, c_Orderings_Oord__class_Omax(_u18428), _u18429, _u18430) = _u18430) )).
% 12.21/12.48 cnf(matrix-7563, plain, ( ~class_Orderings_Olinorder(_u18428) | ~c_List_Olinorder__class_Osorted(_u18428, hAPP(c_List_Orev(_u18428), _u18429)) | ( _u18429 = c_List_Olist_ONil(_u18428)) | ( c_List_Ofoldr(_u18428, _u18428, c_Orderings_Oord__class_Omax(_u18428), _u18429, _u18430) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18428), hAPP(hAPP(c_List_Onth(_u18428), _u18429), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18430)) )).
% 12.21/12.48 cnf(matrix-7564, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18431), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18431))), _u18432))) | ( _u18432 != c_List_Olist_ONil(tc_List_Olist(_u18431))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18431))), c_List_Otranspose(_u18431, _u18432)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7565, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18431), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18431))), _u18432))) | ( _u18432 = c_List_Olist_ONil(tc_List_Olist(_u18431))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18431))), c_List_Otranspose(_u18431, _u18432)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18431)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18431)), _u18432), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.48 cnf(matrix-7566, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18433), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18433))), _u18434))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18435), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18433))), _u18434))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18433))), hAPP(c_List_Ofilter(tc_List_Olist(_u18433), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18433)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18435)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18433)))), c_List_Otranspose(_u18433, _u18434))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18433)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18433)), _u18434), _u18435))) )).
% 12.21/12.48 cnf(matrix-7567, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18436), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18436))), _u18437))) | ( c_List_Otranspose(_u18436, c_List_Otranspose(_u18436, _u18437)) = c_List_OtakeWhile(tc_List_Olist(_u18436), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18436)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18436), tc_List_Olist(_u18436), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18436))), _u18437)) )).
% 12.21/12.48 cnf(matrix-7568, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 12.21/12.48 cnf(matrix-7569, plain, ( ~class_Orderings_Olinorder(_u18438) | ~c_List_Olinorder__class_Osorted(_u18438, _u18439) | c_List_Olinorder__class_Osorted(_u18438, c_List_OtakeWhile(_u18438, _u18440, _u18439)) )).
% 12.21/12.48 cnf(matrix-7570, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18441)), c_List_OtakeWhile(_u18441, _u18442, _u18443))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18441)), _u18443))) )).
% 12.21/12.48 cnf(matrix-7571, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18444), _u18445), hAPP(c_List_Oset(_u18444), c_List_OtakeWhile(_u18444, _u18446, _u18447)))) | hBOOL(hAPP(hAPP(c_member(_u18444), _u18445), hAPP(c_List_Oset(_u18444), _u18447))) )).
% 12.21/12.48 cnf(matrix-7572, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18444), _u18445), hAPP(c_List_Oset(_u18444), c_List_OtakeWhile(_u18444, _u18446, _u18447)))) | hBOOL(hAPP(_u18446, _u18445)) )).
% 12.21/12.48 cnf(matrix-7573, plain, ( ( c_List_OtakeWhile(_u18453, _u18455, _u18457) != _u18457) | ~hBOOL(hAPP(hAPP(c_member(_u18453), _u18448), hAPP(c_List_Oset(_u18453), _u18457))) | hBOOL(hAPP(_u18455, _u18448)) )).
% 12.21/12.48 cnf(matrix-7574, plain, ( ( c_List_OtakeWhile(_u18454, _u18456, _u18458) = _u18458) | hBOOL(hAPP(hAPP(c_member(_u18454), skolem453(_u18458, _u18456, _u18454)), hAPP(c_List_Oset(_u18454), _u18458))) )).
% 12.21/12.48 cnf(matrix-7575, plain, ( ( c_List_OtakeWhile(_u18454, _u18456, _u18458) = _u18458) | ~hBOOL(hAPP(_u18456, skolem453(_u18458, _u18456, _u18454))) )).
% 12.21/12.48 cnf(matrix-7576, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18459, _u18460), _u18461), c_List_OtakeWhile(_u18460, _u18462, _u18463)) = c_List_OtakeWhile(tc_prod(_u18459, _u18460), hAPP(c_Fun_Ocomp(_u18460, tc_HOL_Obool, tc_prod(_u18459, _u18460), _u18462), c_Product__Type_Osnd(_u18459, _u18460)), hAPP(hAPP(c_List_Ozip(_u18459, _u18460), _u18461), _u18463))) )).
% 12.21/12.48 cnf(matrix-7577, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18464, _u18465), c_List_OtakeWhile(_u18464, _u18466, _u18467)), _u18468) = c_List_OtakeWhile(tc_prod(_u18464, _u18465), hAPP(c_Fun_Ocomp(_u18464, tc_HOL_Obool, tc_prod(_u18464, _u18465), _u18466), c_Product__Type_Ofst(_u18464, _u18465)), hAPP(hAPP(c_List_Ozip(_u18464, _u18465), _u18467), _u18468))) )).
% 12.21/12.48 cnf(matrix-7578, plain, ( ( c_List_OtakeWhile(_u18469, _u18470, hAPP(hAPP(c_List_Omap(_u18471, _u18469), _u18472), _u18473)) = hAPP(hAPP(c_List_Omap(_u18471, _u18469), _u18472), c_List_OtakeWhile(_u18471, hAPP(c_Fun_Ocomp(_u18469, tc_HOL_Obool, _u18471, _u18470), _u18472), _u18473))) )).
% 12.21/12.48 cnf(matrix-7579, plain, ( hBOOL(hAPP(_u18474, _u18475)) | ( c_List_OtakeWhile(_u18476, _u18474, hAPP(hAPP(c_List_Oappend(_u18476), _u18477), hAPP(hAPP(c_List_Olist_OCons(_u18476), _u18475), _u18478))) = c_List_OtakeWhile(_u18476, _u18474, _u18477)) )).
% 12.21/12.48 cnf(matrix-7580, plain, ( ~hBOOL(hAPP(_u18483, _u18485)) | ( c_List_OtakeWhile(_u18487, _u18483, hAPP(hAPP(c_List_Olist_OCons(_u18487), _u18485), _u18489)) = hAPP(hAPP(c_List_Olist_OCons(_u18487), _u18485), c_List_OtakeWhile(_u18487, _u18483, _u18489))) )).
% 12.21/12.48 cnf(matrix-7581, plain, ( hBOOL(hAPP(_u18484, _u18486)) | ( c_List_OtakeWhile(_u18488, _u18484, hAPP(hAPP(c_List_Olist_OCons(_u18488), _u18486), _u18490)) = c_List_Olist_ONil(_u18488)) )).
% 12.21/12.48 cnf(matrix-7582, plain, ( ( c_List_OtakeWhile(_u18491, _u18492, c_List_Olist_ONil(_u18491)) = c_List_Olist_ONil(_u18491)) )).
% 12.21/12.48 cnf(matrix-7583, plain, ( ( c_List_OtakeWhile(_u18493, _u18494, _u18495) = hAPP(hAPP(c_List_Otake(_u18493), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18493)), c_List_OtakeWhile(_u18493, _u18494, _u18495))), _u18495)) )).
% 12.21/12.48 cnf(matrix-7584, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18496), _u18497)) | hBOOL(hAPP(c_List_Odistinct(_u18496), c_List_OtakeWhile(_u18496, _u18498, _u18497))) )).
% 12.21/12.48 cnf(matrix-7585, plain, ( ( c_List_Oreturn__list(_u18499) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18499)) )).
% 12.21/12.48 cnf(matrix-7586, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18500), _u18501), hAPP(c_List_Oset(_u18500), _u18502))) | hBOOL(hAPP(_u18503, _u18501)) | ( c_List_OtakeWhile(_u18500, _u18503, hAPP(hAPP(c_List_Oappend(_u18500), _u18502), _u18504)) = c_List_OtakeWhile(_u18500, _u18503, _u18502)) )).
% 12.21/12.48 cnf(matrix-7587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18505), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18506)), c_List_OtakeWhile(_u18506, _u18507, _u18508)))) | ( hAPP(hAPP(c_List_Onth(_u18506), c_List_OtakeWhile(_u18506, _u18507, _u18508)), _u18505) = hAPP(hAPP(c_List_Onth(_u18506), _u18508), _u18505)) )).
% 12.21/12.48 cnf(matrix-7588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18509)), c_List_OtakeWhile(_u18509, _u18510, _u18511))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18509)), _u18511))) | ~hBOOL(hAPP(_u18510, hAPP(hAPP(c_List_Onth(_u18509), _u18511), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18509)), c_List_OtakeWhile(_u18509, _u18510, _u18511))))) )).
% 12.21/12.48 cnf(matrix-7589, plain, ( ( _u18512 = c_List_Olist_ONil(_u18513)) | ~hBOOL(hAPP(c_List_Odistinct(_u18513), _u18512)) | ( c_List_OtakeWhile(_u18513, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18513), c_fNot), hAPP(hAPP(c_COMBC(_u18513, _u18513, tc_HOL_Obool), c_fequal), c_List_Olast(_u18513, _u18512))), _u18512) = c_List_Obutlast(_u18513, _u18512)) )).
% 12.21/12.48 cnf(matrix-7590, plain, ( ~class_Orderings_Olinorder(_u18514) | ~c_List_Olinorder__class_Osorted(_u18514, hAPP(c_List_Orev(_u18514), hAPP(hAPP(c_List_Omap(_u18515, _u18514), _u18516), _u18517))) | ( hAPP(c_List_Ofilter(_u18515, hAPP(hAPP(c_COMBB(_u18514, tc_HOL_Obool, _u18515), hAPP(c_Orderings_Oord__class_Oless(_u18514), _u18518)), _u18516)), _u18517) = c_List_OtakeWhile(_u18515, hAPP(hAPP(c_COMBB(_u18514, tc_HOL_Obool, _u18515), hAPP(c_Orderings_Oord__class_Oless(_u18514), _u18518)), _u18516), _u18517)) )).
% 12.21/12.48 cnf(matrix-7591, plain, ( ~c_List_Onat__list(_u18519) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18519)) = _u18519) )).
% 12.21/12.48 cnf(matrix-7592, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18520), _u18521) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18520)), c_List_Oembed__list(_u18521)))) )).
% 12.21/12.48 cnf(matrix-7593, plain, ( ( c_List_Oembed__list(_u18522) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18522)) )).
% 12.21/12.48 cnf(matrix-7594, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18523), _u18524)) | ~hBOOL(hAPP(hAPP(c_member(_u18523), _u18525), hAPP(c_List_Oset(_u18523), _u18524))) | ( c_List_OtakeWhile(_u18523, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18523), c_fNot), hAPP(hAPP(c_COMBC(_u18523, _u18523, tc_HOL_Obool), c_fequal), _u18525)), hAPP(c_List_Orev(_u18523), _u18524)) = hAPP(c_List_Orev(_u18523), hAPP(c_List_Otl(_u18523), c_List_OdropWhile(_u18523, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18523), c_fNot), hAPP(hAPP(c_COMBC(_u18523, _u18523, tc_HOL_Obool), c_fequal), _u18525)), _u18524)))) )).
% 12.21/12.48 cnf(matrix-7595, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18526), _u18527)) | ~hBOOL(hAPP(hAPP(c_member(_u18526), _u18528), hAPP(c_List_Oset(_u18526), _u18527))) | ( c_List_OdropWhile(_u18526, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18526), c_fNot), hAPP(hAPP(c_COMBC(_u18526, _u18526, tc_HOL_Obool), c_fequal), _u18528)), hAPP(c_List_Orev(_u18526), _u18527)) = hAPP(hAPP(c_List_Olist_OCons(_u18526), _u18528), hAPP(c_List_Orev(_u18526), c_List_OtakeWhile(_u18526, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18526), c_fNot), hAPP(hAPP(c_COMBC(_u18526, _u18526, tc_HOL_Obool), c_fequal), _u18528)), _u18527)))) )).
% 12.21/12.48 cnf(matrix-7596, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18529), c_List_OtakeWhile(_u18529, _u18530, _u18531)), c_List_OdropWhile(_u18529, _u18530, _u18531)) = _u18531) )).
% 12.21/12.48 cnf(matrix-7597, plain, ( ( c_List_OdropWhile(_u18532, _u18533, _u18534) = c_List_Olist_ONil(_u18532)) | ~hBOOL(hAPP(_u18533, hAPP(c_List_Ohd(_u18532), c_List_OdropWhile(_u18532, _u18533, _u18534)))) )).
% 12.21/12.48 cnf(matrix-7598, plain, ( ~class_Orderings_Olinorder(_u18535) | ~c_List_Olinorder__class_Osorted(_u18535, _u18536) | c_List_Olinorder__class_Osorted(_u18535, c_List_OdropWhile(_u18535, _u18537, _u18536)) )).
% 12.21/12.48 cnf(matrix-7599, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18538)), c_List_OdropWhile(_u18538, _u18539, _u18540))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18538)), _u18540))) )).
% 12.21/12.48 cnf(matrix-7600, plain, ( ( c_List_OdropWhile(_u18546, _u18548, _u18550) != c_List_Olist_ONil(_u18546)) | ~hBOOL(hAPP(hAPP(c_member(_u18546), _u18541), hAPP(c_List_Oset(_u18546), _u18550))) | hBOOL(hAPP(_u18548, _u18541)) )).
% 12.21/12.48 cnf(matrix-7601, plain, ( ( c_List_OdropWhile(_u18547, _u18549, _u18551) = c_List_Olist_ONil(_u18547)) | hBOOL(hAPP(hAPP(c_member(_u18547), skolem454(_u18551, _u18549, _u18547)), hAPP(c_List_Oset(_u18547), _u18551))) )).
% 12.21/12.48 cnf(matrix-7602, plain, ( ( c_List_OdropWhile(_u18547, _u18549, _u18551) = c_List_Olist_ONil(_u18547)) | ~hBOOL(hAPP(_u18549, skolem454(_u18551, _u18549, _u18547))) )).
% 12.21/12.48 cnf(matrix-7603, plain, ( ~hBOOL(hAPP(_u18556, _u18558)) | ( c_List_OdropWhile(_u18560, _u18556, hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18558), _u18562)) = c_List_OdropWhile(_u18560, _u18556, _u18562)) )).
% 12.21/12.48 cnf(matrix-7604, plain, ( hBOOL(hAPP(_u18557, _u18559)) | ( c_List_OdropWhile(_u18561, _u18557, hAPP(hAPP(c_List_Olist_OCons(_u18561), _u18559), _u18563)) = hAPP(hAPP(c_List_Olist_OCons(_u18561), _u18559), _u18563)) )).
% 12.21/12.48 cnf(matrix-7605, plain, ( ( c_List_OdropWhile(_u18564, _u18565, c_List_Olist_ONil(_u18564)) = c_List_Olist_ONil(_u18564)) )).
% 12.21/12.48 cnf(matrix-7606, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18566), _u18567)) | hBOOL(hAPP(c_List_Odistinct(_u18566), c_List_OdropWhile(_u18566, _u18568, _u18567))) )).
% 12.21/12.48 cnf(matrix-7607, plain, ( ( c_List_OdropWhile(_u18569, _u18570, hAPP(hAPP(c_List_Omap(_u18571, _u18569), _u18572), _u18573)) = hAPP(hAPP(c_List_Omap(_u18571, _u18569), _u18572), c_List_OdropWhile(_u18571, hAPP(c_Fun_Ocomp(_u18569, tc_HOL_Obool, _u18571, _u18570), _u18572), _u18573))) )).
% 12.21/12.48 cnf(matrix-7608, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18574), _u18575), hAPP(c_List_Oset(_u18574), _u18576))) | hBOOL(hAPP(_u18577, _u18575)) | ( c_List_OdropWhile(_u18574, _u18577, hAPP(hAPP(c_List_Oappend(_u18574), _u18576), _u18578)) = hAPP(hAPP(c_List_Oappend(_u18574), c_List_OdropWhile(_u18574, _u18577, _u18576)), _u18578)) )).
% 12.21/12.48 cnf(matrix-7609, plain, ( ( c_List_OdropWhile(_u18584, _u18586, _u18588) != hAPP(hAPP(c_List_Olist_OCons(_u18584), _u18590), _u18592)) | ( _u18588 = hAPP(hAPP(c_List_Oappend(_u18584), c_List_OtakeWhile(_u18584, _u18586, _u18588)), hAPP(hAPP(c_List_Olist_OCons(_u18584), _u18590), _u18592))) )).
% 12.21/12.48 cnf(matrix-7610, plain, ( ( c_List_OdropWhile(_u18584, _u18586, _u18588) != hAPP(hAPP(c_List_Olist_OCons(_u18584), _u18590), _u18592)) | ~hBOOL(hAPP(_u18586, _u18590)) )).
% 12.21/12.48 cnf(matrix-7611, plain, ( ( _u18589 != hAPP(hAPP(c_List_Oappend(_u18585), c_List_OtakeWhile(_u18585, _u18587, _u18589)), hAPP(hAPP(c_List_Olist_OCons(_u18585), _u18591), _u18593))) | hBOOL(hAPP(_u18587, _u18591)) | ( c_List_OdropWhile(_u18585, _u18587, _u18589) = hAPP(hAPP(c_List_Olist_OCons(_u18585), _u18591), _u18593)) )).
% 12.21/12.48 cnf(matrix-7612, plain, ( ( c_List_OdropWhile(_u18594, _u18595, _u18596) = hAPP(hAPP(c_List_Odrop(_u18594), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18594)), c_List_OtakeWhile(_u18594, _u18595, _u18596))), _u18596)) )).
% 12.21/12.48 cnf(matrix-7613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18597), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), c_List_OdropWhile(_u18598, _u18599, _u18600)))) | ( hAPP(hAPP(c_List_Onth(_u18598), c_List_OdropWhile(_u18598, _u18599, _u18600)), _u18597) = hAPP(hAPP(c_List_Onth(_u18598), _u18600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18597), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), c_List_OtakeWhile(_u18598, _u18599, _u18600))))) )).
% 12.21/12.48 cnf(matrix-7614, plain, ( ~class_Groups_Omonoid__add(_u18602) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), hAPP(c_List_Ofilter(_u18603, _u18605), _u18604))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), _u18604))) | hBOOL(hAPP(hAPP(c_member(_u18603), skolem455(_u18606, _u18605, _u18604, _u18603, _u18602)), hAPP(c_List_Oset(_u18603), _u18604))) )).
% 12.21/12.48 cnf(matrix-7615, plain, ( ~class_Groups_Omonoid__add(_u18602) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), hAPP(c_List_Ofilter(_u18603, _u18605), _u18604))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), _u18604))) | ~hBOOL(hAPP(_u18605, skolem455(_u18606, _u18605, _u18604, _u18603, _u18602))) )).
% 12.21/12.48 cnf(matrix-7616, plain, ( ~class_Groups_Omonoid__add(_u18602) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), hAPP(c_List_Ofilter(_u18603, _u18605), _u18604))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18602), hAPP(hAPP(c_List_Omap(_u18603, _u18602), _u18606), _u18604))) | ( hAPP(_u18606, skolem455(_u18606, _u18605, _u18604, _u18603, _u18602)) != c_Groups_Ozero__class_Ozero(_u18602)) )).
% 12.21/12.48 cnf(matrix-7617, plain, ( ~class_Orderings_Olinorder(_u18609) | c_List_Olinorder__class_Osorted(_u18609, _u18610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem456(_u18610, _u18609)), skolem457(_u18610, _u18609))) )).
% 12.21/12.48 cnf(matrix-7618, plain, ( ~class_Orderings_Olinorder(_u18609) | c_List_Olinorder__class_Osorted(_u18609, _u18610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem457(_u18610, _u18609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18609)), _u18610))) )).
% 12.21/12.48 cnf(matrix-7619, plain, ( ~class_Orderings_Olinorder(_u18609) | c_List_Olinorder__class_Osorted(_u18609, _u18610) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18609), hAPP(hAPP(c_List_Onth(_u18609), _u18610), skolem456(_u18610, _u18609))), hAPP(hAPP(c_List_Onth(_u18609), _u18610), skolem457(_u18610, _u18609)))) )).
% 12.21/12.48 cnf(matrix-7620, plain, ( ( c_List_OtakeWhile(_u18612, _u18613, _u18614) = hAPP(c_List_Ofilter(_u18612, _u18613), _u18614)) | hBOOL(hAPP(hAPP(c_member(_u18612), skolem458(_u18614, _u18613, _u18612)), hAPP(c_List_Oset(_u18612), c_List_OdropWhile(_u18612, _u18613, _u18614)))) )).
% 12.21/12.48 cnf(matrix-7621, plain, ( ( c_List_OtakeWhile(_u18612, _u18613, _u18614) = hAPP(c_List_Ofilter(_u18612, _u18613), _u18614)) | hBOOL(hAPP(_u18613, skolem458(_u18614, _u18613, _u18612))) )).
% 12.21/12.48 cnf(matrix-7622, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem459(_u18619, _u18618, _u18617, _u18616)), _u18616)) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) )).
% 12.21/12.48 cnf(matrix-7623, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem459(_u18619, _u18618, _u18617, _u18616)), _u18616)) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), _u18616))) )).
% 12.21/12.48 cnf(matrix-7624, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem459(_u18619, _u18618, _u18617, _u18616)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) )).
% 12.21/12.48 cnf(matrix-7625, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem459(_u18619, _u18618, _u18617, _u18616)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), _u18616))) )).
% 12.21/12.48 cnf(matrix-7626, plain, ( ~hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), skolem459(_u18619, _u18618, _u18617, _u18616)))) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18617)), _u18618))) )).
% 12.21/12.48 cnf(matrix-7627, plain, ( ~hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), skolem459(_u18619, _u18618, _u18617, _u18616)))) | ( c_List_OtakeWhile(_u18617, _u18619, _u18618) = hAPP(hAPP(c_List_Otake(_u18617), _u18616), _u18618)) | hBOOL(hAPP(_u18619, hAPP(hAPP(c_List_Onth(_u18617), _u18618), _u18616))) )).
% 12.21/12.48 cnf(matrix-7628, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18623)), _u18624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18623)), c_List_OtakeWhile(_u18623, _u18622, _u18624)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem460(_u18624, _u18623, _u18622, _u18621)), _u18621)) )).
% 12.21/12.48 cnf(matrix-7629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18623)), _u18624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18623)), c_List_OtakeWhile(_u18623, _u18622, _u18624)))) | ~hBOOL(hAPP(_u18622, hAPP(hAPP(c_List_Onth(_u18623), _u18624), skolem460(_u18624, _u18623, _u18622, _u18621)))) )).
% 12.21/12.48 cnf(matrix-7630, plain, ( ~class_Orderings_Olinorder(_u18631) | ~c_List_Olinorder__class_Osorted(_u18631, _u18632) | ( _u18632 = c_List_Olist_ONil(_u18631)) | c_List_Olinorder__class_Osorted(_u18631, skolem461(_u18632, _u18631)) )).
% 12.21/12.48 cnf(matrix-7631, plain, ( ~class_Orderings_Olinorder(_u18631) | ~c_List_Olinorder__class_Osorted(_u18631, _u18632) | ( _u18632 = c_List_Olist_ONil(_u18631)) | ( _u18632 = hAPP(hAPP(c_List_Olist_OCons(_u18631), skolem462(_u18632, _u18631)), skolem461(_u18632, _u18631))) )).
% 12.21/12.48 cnf(matrix-7632, plain, ( ~class_Orderings_Olinorder(_u18631) | ~c_List_Olinorder__class_Osorted(_u18631, _u18632) | ( _u18632 = c_List_Olist_ONil(_u18631)) | ~hBOOL(hAPP(hAPP(c_member(_u18631), _u18625), hAPP(c_List_Oset(_u18631), skolem461(_u18632, _u18631)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18631), skolem462(_u18632, _u18631)), _u18625)) )).
% 12.21/12.48 cnf(matrix-7633, plain, ( ~class_Orderings_Olinorder(_u18631) | c_List_Olinorder__class_Osorted(_u18631, _u18632) | ( _u18632 != c_List_Olist_ONil(_u18631)) )).
% 12.21/12.48 cnf(matrix-7634, plain, ( ~class_Orderings_Olinorder(_u18631) | c_List_Olinorder__class_Osorted(_u18631, _u18632) | ~c_List_Olinorder__class_Osorted(_u18631, _u18630) | ( _u18632 != hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18629), _u18630)) | hBOOL(hAPP(hAPP(c_member(_u18631), skolem463(_u18632, _u18631, _u18630, _u18629)), hAPP(c_List_Oset(_u18631), _u18630))) )).
% 12.21/12.48 cnf(matrix-7635, plain, ( ~class_Orderings_Olinorder(_u18631) | c_List_Olinorder__class_Osorted(_u18631, _u18632) | ~c_List_Olinorder__class_Osorted(_u18631, _u18630) | ( _u18632 != hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18629), _u18630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18631), _u18629), skolem463(_u18632, _u18631, _u18630, _u18629))) )).
% 12.21/12.48 cnf(matrix-7636, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18636), _u18638), hAPP(c_List_Oset(_u18636), _u18640))) | ( c_List_Oinsert(_u18636, _u18638, _u18640) = _u18640) )).
% 12.21/12.48 cnf(matrix-7637, plain, ( hBOOL(hAPP(hAPP(c_member(_u18637), _u18639), hAPP(c_List_Oset(_u18637), _u18641))) | ( c_List_Oinsert(_u18637, _u18639, _u18641) = hAPP(hAPP(c_List_Olist_OCons(_u18637), _u18639), _u18641)) )).
% 12.21/12.48 cnf(matrix-7638, plain, ( hBOOL(hAPP(hAPP(c_member(_u18642), _u18643), hAPP(c_List_Oset(_u18642), _u18644))) | ( c_List_Oinsert(_u18642, _u18643, _u18644) = hAPP(hAPP(c_List_Olist_OCons(_u18642), _u18643), _u18644)) )).
% 12.21/12.48 cnf(matrix-7639, plain, ( ( c_List_Oinsert(_u18645, _u18646, c_List_Oremdups(_u18645, _u18647)) = c_List_Oremdups(_u18645, c_List_Oinsert(_u18645, _u18646, _u18647))) )).
% 12.21/12.48 cnf(matrix-7640, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18648), _u18649)) | hBOOL(hAPP(c_List_Odistinct(_u18648), c_List_Oinsert(_u18648, _u18650, _u18649))) )).
% 12.21/12.48 cnf(matrix-7641, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18651), _u18652), hAPP(c_List_Oset(_u18651), _u18653))) | ( c_List_Oinsert(_u18651, _u18652, _u18653) = _u18653) )).
% 12.21/12.48 cnf(matrix-7642, plain, ( ( hAPP(c_List_Oset(_u18654), c_List_Oinsert(_u18654, _u18655, _u18656)) = hAPP(hAPP(c_Set_Oinsert(_u18654), _u18655), hAPP(c_List_Oset(_u18654), _u18656))) )).
% 12.21/12.48 cnf(matrix-7643, plain, ( ( c_List_Oinsert(_u18657, _u18658, c_List_Olist_ONil(_u18657)) = hAPP(hAPP(c_List_Olist_OCons(_u18657), _u18658), c_List_Olist_ONil(_u18657))) )).
% 12.21/12.48 cnf(matrix-7644, plain, ( ( c_List_Omaps(_u18659, _u18660, _u18661, _u18662) = c_List_Oconcat(_u18660, hAPP(hAPP(c_List_Omap(_u18659, tc_List_Olist(_u18660)), _u18661), _u18662))) )).
% 12.21/12.48 cnf(matrix-7645, plain, ( ( c_List_Oconcat(_u18663, hAPP(hAPP(c_List_Omap(_u18664, tc_List_Olist(_u18663)), _u18665), _u18666)) = c_List_Omaps(_u18664, _u18663, _u18665, _u18666)) )).
% 12.21/12.48 cnf(matrix-7646, plain, ( ( c_List_Omaps(_u18667, _u18668, _u18669, c_List_Olist_ONil(_u18667)) = c_List_Olist_ONil(_u18668)) )).
% 12.21/12.48 cnf(matrix-7647, plain, ( ( c_List_Omaps(_u18670, _u18671, _u18672, hAPP(hAPP(c_List_Olist_OCons(_u18670), _u18673), _u18674)) = hAPP(hAPP(c_List_Oappend(_u18671), hAPP(_u18672, _u18673)), c_List_Omaps(_u18670, _u18671, _u18672, _u18674))) )).
% 12.21/12.48 cnf(matrix-7648, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem464(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem465(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) )).
% 12.21/12.48 cnf(matrix-7649, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem464(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem466(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) )).
% 12.21/12.48 cnf(matrix-7650, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem464(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | ( skolem465(_u18679, _u18678) != skolem466(_u18679, _u18678)) )).
% 12.21/12.48 cnf(matrix-7651, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem464(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18678, tc_HOL_Obool)), hAPP(c_List_Oset(_u18678), skolem465(_u18679, _u18678))), hAPP(c_List_Oset(_u18678), skolem466(_u18679, _u18678))) != c_Orderings_Obot__class_Obot(tc_fun(_u18678, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-7652, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | ~hBOOL(hAPP(c_List_Odistinct(_u18678), skolem464(_u18679, _u18678))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem465(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) )).
% 12.21/12.48 cnf(matrix-7653, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | ~hBOOL(hAPP(c_List_Odistinct(_u18678), skolem464(_u18679, _u18678))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18678)), skolem466(_u18679, _u18678)), hAPP(c_List_Oset(tc_List_Olist(_u18678)), _u18679))) )).
% 12.21/12.48 cnf(matrix-7654, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | ~hBOOL(hAPP(c_List_Odistinct(_u18678), skolem464(_u18679, _u18678))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | ( skolem465(_u18679, _u18678) != skolem466(_u18679, _u18678)) )).
% 12.21/12.48 cnf(matrix-7655, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18678)), _u18679)) | ~hBOOL(hAPP(c_List_Odistinct(_u18678), skolem464(_u18679, _u18678))) | hBOOL(hAPP(c_List_Odistinct(_u18678), c_List_Oconcat(_u18678, _u18679))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18678, tc_HOL_Obool)), hAPP(c_List_Oset(_u18678), skolem465(_u18679, _u18678))), hAPP(c_List_Oset(_u18678), skolem466(_u18679, _u18678))) != c_Orderings_Obot__class_Obot(tc_fun(_u18678, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-7656, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18680, _u18681)), hAPP(_u18680, _u18682))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18683, _u18683)), hAPP(hAPP(c_Product__Type_OPair(_u18683, _u18683), _u18681), _u18682)), c_List_Omeasures(_u18683, _u18684))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18683, _u18683)), hAPP(hAPP(c_Product__Type_OPair(_u18683, _u18683), _u18681), _u18682)), c_List_Omeasures(_u18683, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18683, tc_Nat_Onat)), _u18680), _u18684)))) )).
% 12.21/12.48 cnf(matrix-7657, plain, ( c_Wellfounded_Owf(_u18685, c_List_Omeasures(_u18685, _u18686)) )).
% 12.21/12.48 cnf(matrix-7658, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18687, _u18687)), hAPP(hAPP(c_Product__Type_OPair(_u18687, _u18687), _u18688), _u18689)), c_List_Omeasures(_u18687, c_List_Olist_ONil(tc_fun(_u18687, tc_Nat_Onat))))) )).
% 12.21/12.48 cnf(matrix-7659, plain, ( ( c_List_Omeasures(_u18690, _u18691) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18690), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18690, tc_List_Olist(tc_fun(_u18690, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18690, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18690, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18690), c_List_Omap(tc_fun(_u18690, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18690, tc_Nat_Onat), _u18690, tc_Nat_Onat), c_COMBI(tc_fun(_u18690, tc_Nat_Onat))))), _u18691))) )).
% 12.21/12.48 cnf(matrix-7660, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18697, _u18697)), hAPP(hAPP(c_Product__Type_OPair(_u18697, _u18697), _u18699), _u18701)), c_List_Omeasures(_u18697, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18697, tc_Nat_Onat)), _u18703), _u18705)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18703, _u18699)), hAPP(_u18703, _u18701))) | ( hAPP(_u18703, _u18699) = hAPP(_u18703, _u18701)) )).
% 12.21/12.48 cnf(matrix-7661, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18697, _u18697)), hAPP(hAPP(c_Product__Type_OPair(_u18697, _u18697), _u18699), _u18701)), c_List_Omeasures(_u18697, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18697, tc_Nat_Onat)), _u18703), _u18705)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18703, _u18699)), hAPP(_u18703, _u18701))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18697, _u18697)), hAPP(hAPP(c_Product__Type_OPair(_u18697, _u18697), _u18699), _u18701)), c_List_Omeasures(_u18697, _u18705))) )).
% 12.21/12.48 cnf(matrix-7662, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18698, _u18698)), hAPP(hAPP(c_Product__Type_OPair(_u18698, _u18698), _u18700), _u18702)), c_List_Omeasures(_u18698, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18698, tc_Nat_Onat)), _u18704), _u18706)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18704, _u18700)), hAPP(_u18704, _u18702))) )).
% 12.21/12.48 cnf(matrix-7663, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18698, _u18698)), hAPP(hAPP(c_Product__Type_OPair(_u18698, _u18698), _u18700), _u18702)), c_List_Omeasures(_u18698, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18698, tc_Nat_Onat)), _u18704), _u18706)))) | ( hAPP(_u18704, _u18700) != hAPP(_u18704, _u18702)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18698, _u18698)), hAPP(hAPP(c_Product__Type_OPair(_u18698, _u18698), _u18700), _u18702)), c_List_Omeasures(_u18698, _u18706))) )).
% 12.21/12.48 cnf(matrix-7664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18707, _u18708)), hAPP(_u18707, _u18709))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18710, _u18710)), hAPP(hAPP(c_Product__Type_OPair(_u18710, _u18710), _u18708), _u18709)), c_List_Omeasures(_u18710, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18710, tc_Nat_Onat)), _u18707), _u18711)))) )).
% 12.21/12.48 cnf(matrix-7665, plain, ( ( hAPP(c_List_Ofoldl(_u18715, _u18713, hAPP(c_COMBC(_u18713, _u18715, _u18715), _u18717), hAPP(_u18718, _u18720)), _u18714) = hAPP(_u18718, hAPP(c_List_Ofoldl(_u18716, _u18713, hAPP(c_COMBC(_u18713, _u18716, _u18716), _u18719), _u18720), _u18714))) | hBOOL(hAPP(hAPP(c_member(_u18713), skolem467(_u18720, _u18719, _u18718, _u18717, _u18716, _u18715, _u18714, _u18713)), hAPP(c_List_Oset(_u18713), _u18714))) )).
% 12.21/12.48 cnf(matrix-7666, plain, ( ( hAPP(c_List_Ofoldl(_u18715, _u18713, hAPP(c_COMBC(_u18713, _u18715, _u18715), _u18717), hAPP(_u18718, _u18720)), _u18714) = hAPP(_u18718, hAPP(c_List_Ofoldl(_u18716, _u18713, hAPP(c_COMBC(_u18713, _u18716, _u18716), _u18719), _u18720), _u18714))) | ( hAPP(c_Fun_Ocomp(_u18715, _u18715, _u18716, hAPP(_u18717, skolem467(_u18720, _u18719, _u18718, _u18717, _u18716, _u18715, _u18714, _u18713))), _u18718) != hAPP(c_Fun_Ocomp(_u18716, _u18715, _u18716, _u18718), hAPP(_u18719, skolem467(_u18720, _u18719, _u18718, _u18717, _u18716, _u18715, _u18714, _u18713)))) )).
% 12.21/12.48 cnf(matrix-7667, plain, ( ~class_Orderings_Oorder(_u18721) | ~class_Enum_Oenum(_u18722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18722, _u18721)), _u18723), _u18724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18722, _u18721)), _u18723), _u18724)) )).
% 12.21/12.48 cnf(matrix-7668, plain, ( ~class_Orderings_Oorder(_u18721) | ~class_Enum_Oenum(_u18722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18722, _u18721)), _u18723), _u18724)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18722), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18722), c_fNot), hAPP(hAPP(c_COMBS(_u18722, _u18721, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18721, tc_fun(_u18721, tc_HOL_Obool), _u18722), c_fequal), _u18723)), _u18724)))) )).
% 12.21/12.48 cnf(matrix-7669, plain, ( ~class_Orderings_Oorder(_u18721) | ~class_Enum_Oenum(_u18722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18722, _u18721)), _u18723), _u18724)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18722), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18722), c_fNot), hAPP(hAPP(c_COMBS(_u18722, _u18721, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18721, tc_fun(_u18721, tc_HOL_Obool), _u18722), c_fequal), _u18723)), _u18724)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18722, _u18721)), _u18723), _u18724)) )).
% 12.21/12.48 cnf(matrix-7670, plain, ( ~class_Enum_Oenum(_u18725) | ~class_Enum_Oenum(_u18726) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18726, _u18725)), _u18727)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18726), hAPP(hAPP(c_COMBB(tc_fun(_u18725, tc_HOL_Obool), tc_HOL_Obool, _u18726), c_Enum_Oenum__class_Oenum__ex(_u18725)), hAPP(hAPP(c_COMBB(tc_fun(_u18725, tc_prod(_u18726, _u18725)), tc_fun(_u18725, tc_HOL_Obool), _u18726), hAPP(c_COMBB(tc_prod(_u18726, _u18725), tc_HOL_Obool, _u18725), _u18727)), c_Product__Type_OPair(_u18726, _u18725))))) )).
% 12.21/12.48 cnf(matrix-7671, plain, ( ~class_Enum_Oenum(_u18725) | ~class_Enum_Oenum(_u18726) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18726), hAPP(hAPP(c_COMBB(tc_fun(_u18725, tc_HOL_Obool), tc_HOL_Obool, _u18726), c_Enum_Oenum__class_Oenum__ex(_u18725)), hAPP(hAPP(c_COMBB(tc_fun(_u18725, tc_prod(_u18726, _u18725)), tc_fun(_u18725, tc_HOL_Obool), _u18726), hAPP(c_COMBB(tc_prod(_u18726, _u18725), tc_HOL_Obool, _u18725), _u18727)), c_Product__Type_OPair(_u18726, _u18725))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18726, _u18725)), _u18727)) )).
% 12.21/12.48 cnf(matrix-7672, plain, ( ~class_Enum_Oenum(_u18730) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18730), _u18731)) | hBOOL(hAPP(_u18731, skolem468(_u18731, _u18730))) )).
% 12.21/12.48 cnf(matrix-7673, plain, ( ~class_Enum_Oenum(_u18730) | ~hBOOL(hAPP(_u18731, _u18729)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18730), _u18731)) )).
% 12.21/12.48 cnf(matrix-7674, plain, ( ~class_Enum_Oenum(_u18734) | ~hBOOL(hAPP(_u18735, _u18732)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18734), _u18735)) )).
% 12.21/12.48 cnf(matrix-7675, plain, ( ~class_Enum_Oenum(_u18734) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18734), _u18735)) | hBOOL(hAPP(_u18735, skolem469(_u18735, _u18734))) )).
% 12.21/12.48 cnf(matrix-7676, plain, ( hBOOL(hAPP(_u18740, hAPP(hAPP(c_List_Ozip(_u18736, _u18738), _u18737), _u18739))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), hAPP(hAPP(c_List_Otake(_u18736), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), _u18739))), _u18737)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), hAPP(hAPP(c_List_Otake(_u18738), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), _u18739))), _u18739))) )).
% 12.21/12.48 cnf(matrix-7677, plain, ( hBOOL(hAPP(_u18740, hAPP(hAPP(c_List_Ozip(_u18736, _u18738), _u18737), _u18739))) | ~hBOOL(hAPP(_u18740, hAPP(hAPP(c_List_Ozip(_u18736, _u18738), hAPP(hAPP(c_List_Otake(_u18736), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), _u18739))), _u18737)), hAPP(hAPP(c_List_Otake(_u18738), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18738)), _u18739))), _u18739)))) )).
% 12.21/12.48 cnf(matrix-7678, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18741, _u18742, _u18743, _u18744) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18741, _u18742), _u18743), _u18744))) )).
% 12.21/12.48 cnf(matrix-7679, plain, ( ( c_List_OdropWhile(_u18746, _u18748, hAPP(hAPP(c_List_Oappend(_u18746), _u18747), _u18749)) = c_List_OdropWhile(_u18746, _u18748, _u18749)) | hBOOL(hAPP(hAPP(c_member(_u18746), skolem470(_u18749, _u18748, _u18747, _u18746)), hAPP(c_List_Oset(_u18746), _u18747))) )).
% 12.21/12.48 cnf(matrix-7680, plain, ( ( c_List_OdropWhile(_u18746, _u18748, hAPP(hAPP(c_List_Oappend(_u18746), _u18747), _u18749)) = c_List_OdropWhile(_u18746, _u18748, _u18749)) | ~hBOOL(hAPP(_u18748, skolem470(_u18749, _u18748, _u18747, _u18746))) )).
% 12.21/12.48 cnf(matrix-7681, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18751)), _u18752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18753)), _u18754)) | c_List_Olist__all2(_u18751, _u18753, _u18755, _u18752, _u18754) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem471(_u18755, _u18754, _u18753, _u18752, _u18751)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18751)), _u18752))) )).
% 12.21/12.48 cnf(matrix-7682, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18751)), _u18752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18753)), _u18754)) | c_List_Olist__all2(_u18751, _u18753, _u18755, _u18752, _u18754) | ~hBOOL(hAPP(hAPP(_u18755, hAPP(hAPP(c_List_Onth(_u18751), _u18752), skolem471(_u18755, _u18754, _u18753, _u18752, _u18751))), hAPP(hAPP(c_List_Onth(_u18753), _u18754), skolem471(_u18755, _u18754, _u18753, _u18752, _u18751)))) )).
% 12.21/12.48 cnf(matrix-7683, plain, ( ~class_Orderings_Olinorder(_u18758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18758), _u18759)) | ( hAPP(c_List_Oset(_u18758), skolem472(_u18759, _u18758)) = _u18759) )).
% 12.21/12.48 cnf(matrix-7684, plain, ( ~class_Orderings_Olinorder(_u18758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18758), _u18759)) | c_List_Olinorder__class_Osorted(_u18758, skolem472(_u18759, _u18758)) )).
% 12.21/12.48 cnf(matrix-7685, plain, ( ~class_Orderings_Olinorder(_u18758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18758), _u18759)) | hBOOL(hAPP(c_List_Odistinct(_u18758), skolem472(_u18759, _u18758))) )).
% 12.21/12.48 cnf(matrix-7686, plain, ( ~class_Orderings_Olinorder(_u18758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18758), _u18759)) | ( hAPP(c_List_Oset(_u18758), _u18756) != _u18759) | ~c_List_Olinorder__class_Osorted(_u18758, _u18756) | ~hBOOL(hAPP(c_List_Odistinct(_u18758), _u18756)) | ( _u18756 = skolem472(_u18759, _u18758)) )).
% 12.21/12.48 cnf(matrix-7687, plain, ( ( c_List_OtakeWhile(_u18761, _u18763, hAPP(hAPP(c_List_Oappend(_u18761), _u18762), _u18764)) = hAPP(hAPP(c_List_Oappend(_u18761), _u18762), c_List_OtakeWhile(_u18761, _u18763, _u18764))) | hBOOL(hAPP(hAPP(c_member(_u18761), skolem473(_u18764, _u18763, _u18762, _u18761)), hAPP(c_List_Oset(_u18761), _u18762))) )).
% 12.21/12.48 cnf(matrix-7688, plain, ( ( c_List_OtakeWhile(_u18761, _u18763, hAPP(hAPP(c_List_Oappend(_u18761), _u18762), _u18764)) = hAPP(hAPP(c_List_Oappend(_u18761), _u18762), c_List_OtakeWhile(_u18761, _u18763, _u18764))) | ~hBOOL(hAPP(_u18763, skolem473(_u18764, _u18763, _u18762, _u18761))) )).
% 12.21/12.48 cnf(matrix-7689, plain, ( ~class_Orderings_Olinorder(_u18766) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18767, _u18766, _u18769), _u18770), _u18768) = hAPP(hAPP(c_List_Olist_OCons(_u18767), _u18770), _u18768)) | hBOOL(hAPP(hAPP(c_member(_u18767), skolem474(_u18770, _u18769, _u18768, _u18767, _u18766)), hAPP(c_List_Oset(_u18767), _u18768))) )).
% 12.21/12.48 cnf(matrix-7690, plain, ( ~class_Orderings_Olinorder(_u18766) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18767, _u18766, _u18769), _u18770), _u18768) = hAPP(hAPP(c_List_Olist_OCons(_u18767), _u18770), _u18768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18766), hAPP(_u18769, _u18770)), hAPP(_u18769, skolem474(_u18770, _u18769, _u18768, _u18767, _u18766)))) )).
% 12.21/12.48 cnf(matrix-7691, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), _u18786) != hAPP(c_List_Ofilter(_u18782, _u18788), _u18790)) | hBOOL(hAPP(_u18788, _u18784)) )).
% 12.21/12.48 cnf(matrix-7692, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), _u18786) != hAPP(c_List_Ofilter(_u18782, _u18788), _u18790)) | ~hBOOL(hAPP(hAPP(c_member(_u18782), _u18771), hAPP(c_List_Oset(_u18782), skolem475(_u18790, _u18788, _u18786, _u18784, _u18782)))) | ~hBOOL(hAPP(_u18788, _u18771)) )).
% 12.21/12.48 cnf(matrix-7693, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), _u18786) != hAPP(c_List_Ofilter(_u18782, _u18788), _u18790)) | ( _u18790 = hAPP(hAPP(c_List_Oappend(_u18782), skolem475(_u18790, _u18788, _u18786, _u18784, _u18782)), hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), skolem476(_u18790, _u18788, _u18786, _u18784, _u18782)))) )).
% 12.21/12.48 cnf(matrix-7694, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18782), _u18784), _u18786) != hAPP(c_List_Ofilter(_u18782, _u18788), _u18790)) | ( _u18786 = hAPP(c_List_Ofilter(_u18782, _u18788), skolem476(_u18790, _u18788, _u18786, _u18784, _u18782))) )).
% 12.21/12.48 cnf(matrix-7695, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), _u18787) = hAPP(c_List_Ofilter(_u18783, _u18789), _u18791)) | ~hBOOL(hAPP(_u18789, _u18785)) | ( _u18791 != hAPP(hAPP(c_List_Oappend(_u18783), _u18776), hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), _u18775))) | ( _u18787 != hAPP(c_List_Ofilter(_u18783, _u18789), _u18775)) | hBOOL(hAPP(hAPP(c_member(_u18783), skolem477(_u18791, _u18789, _u18787, _u18785, _u18783, _u18776)), hAPP(c_List_Oset(_u18783), _u18776))) )).
% 12.21/12.48 cnf(matrix-7696, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), _u18787) = hAPP(c_List_Ofilter(_u18783, _u18789), _u18791)) | ~hBOOL(hAPP(_u18789, _u18785)) | ( _u18791 != hAPP(hAPP(c_List_Oappend(_u18783), _u18776), hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), _u18775))) | ( _u18787 != hAPP(c_List_Ofilter(_u18783, _u18789), _u18775)) | hBOOL(hAPP(_u18789, skolem477(_u18791, _u18789, _u18787, _u18785, _u18783, _u18776))) )).
% 12.21/12.48 cnf(matrix-7697, plain, ( ( hAPP(c_List_Ofilter(_u18803, _u18805), _u18807) != hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811)) | hBOOL(hAPP(_u18805, _u18809)) )).
% 12.21/12.48 cnf(matrix-7698, plain, ( ( hAPP(c_List_Ofilter(_u18803, _u18805), _u18807) != hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811)) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18792), hAPP(c_List_Oset(_u18803), skolem478(_u18811, _u18809, _u18807, _u18805, _u18803)))) | ~hBOOL(hAPP(_u18805, _u18792)) )).
% 12.21/12.48 cnf(matrix-7699, plain, ( ( hAPP(c_List_Ofilter(_u18803, _u18805), _u18807) != hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811)) | ( _u18807 = hAPP(hAPP(c_List_Oappend(_u18803), skolem478(_u18811, _u18809, _u18807, _u18805, _u18803)), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), skolem479(_u18811, _u18809, _u18807, _u18805, _u18803)))) )).
% 12.21/12.48 cnf(matrix-7700, plain, ( ( hAPP(c_List_Ofilter(_u18803, _u18805), _u18807) != hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18809), _u18811)) | ( _u18811 = hAPP(c_List_Ofilter(_u18803, _u18805), skolem479(_u18811, _u18809, _u18807, _u18805, _u18803))) )).
% 12.21/12.48 cnf(matrix-7701, plain, ( ( hAPP(c_List_Ofilter(_u18804, _u18806), _u18808) = hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18812)) | ~hBOOL(hAPP(_u18806, _u18810)) | ( _u18808 != hAPP(hAPP(c_List_Oappend(_u18804), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18796))) | ( _u18812 != hAPP(c_List_Ofilter(_u18804, _u18806), _u18796)) | hBOOL(hAPP(hAPP(c_member(_u18804), skolem480(_u18812, _u18810, _u18808, _u18806, _u18804, _u18797)), hAPP(c_List_Oset(_u18804), _u18797))) )).
% 12.21/12.48 cnf(matrix-7702, plain, ( ( hAPP(c_List_Ofilter(_u18804, _u18806), _u18808) = hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18812)) | ~hBOOL(hAPP(_u18806, _u18810)) | ( _u18808 != hAPP(hAPP(c_List_Oappend(_u18804), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18804), _u18810), _u18796))) | ( _u18812 != hAPP(c_List_Ofilter(_u18804, _u18806), _u18796)) | hBOOL(hAPP(_u18806, skolem480(_u18812, _u18810, _u18808, _u18806, _u18804, _u18797))) )).
% 12.21/12.48 cnf(matrix-7703, plain, ( ~class_Orderings_Oorder(_u18813) | ~class_Enum_Oenum(_u18814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18814, _u18813)), _u18815), _u18816)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18814), hAPP(hAPP(c_COMBS(_u18814, _u18813, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18813, tc_fun(_u18813, tc_HOL_Obool), _u18814), c_Orderings_Oord__class_Oless__eq(_u18813)), _u18815)), _u18816))) )).
% 12.21/12.48 cnf(matrix-7704, plain, ( ~class_Orderings_Oorder(_u18813) | ~class_Enum_Oenum(_u18814) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18814), hAPP(hAPP(c_COMBS(_u18814, _u18813, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18813, tc_fun(_u18813, tc_HOL_Obool), _u18814), c_Orderings_Oord__class_Oless__eq(_u18813)), _u18815)), _u18816))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18814, _u18813)), _u18815), _u18816)) )).
% 12.21/12.48 cnf(matrix-7705, plain, ( ~class_Enum_Oenum(_u18819) | ~hBOOL(hAPP(_u18820, skolem481(_u18820, _u18819))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18819), _u18820)) )).
% 12.21/12.48 cnf(matrix-7706, plain, ( ~class_Enum_Oenum(_u18819) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18819), _u18820)) | hBOOL(hAPP(_u18820, _u18818)) )).
% 12.21/12.48 cnf(matrix-7707, plain, ( ~class_Enum_Oenum(_u18823) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18823), _u18824)) | hBOOL(hAPP(_u18824, _u18821)) )).
% 12.21/12.48 cnf(matrix-7708, plain, ( ~class_Enum_Oenum(_u18823) | ~hBOOL(hAPP(_u18824, skolem482(_u18824, _u18823))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18823), _u18824)) )).
% 12.21/12.48 cnf(matrix-7709, plain, ( ~class_Enum_Oenum(_u18825) | ~class_Enum_Oenum(_u18826) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18826, _u18825)), _u18827)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18826), hAPP(hAPP(c_COMBB(tc_fun(_u18825, tc_HOL_Obool), tc_HOL_Obool, _u18826), c_Enum_Oenum__class_Oenum__all(_u18825)), hAPP(hAPP(c_COMBB(tc_fun(_u18825, tc_prod(_u18826, _u18825)), tc_fun(_u18825, tc_HOL_Obool), _u18826), hAPP(c_COMBB(tc_prod(_u18826, _u18825), tc_HOL_Obool, _u18825), _u18827)), c_Product__Type_OPair(_u18826, _u18825))))) )).
% 12.21/12.48 cnf(matrix-7710, plain, ( ~class_Enum_Oenum(_u18825) | ~class_Enum_Oenum(_u18826) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18826), hAPP(hAPP(c_COMBB(tc_fun(_u18825, tc_HOL_Obool), tc_HOL_Obool, _u18826), c_Enum_Oenum__class_Oenum__all(_u18825)), hAPP(hAPP(c_COMBB(tc_fun(_u18825, tc_prod(_u18826, _u18825)), tc_fun(_u18825, tc_HOL_Obool), _u18826), hAPP(c_COMBB(tc_prod(_u18826, _u18825), tc_HOL_Obool, _u18825), _u18827)), c_Product__Type_OPair(_u18826, _u18825))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18826, _u18825)), _u18827)) )).
% 12.21/12.48 cnf(matrix-7711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18829), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18830)), _u18831))) | hBOOL(hAPP(_u18832, hAPP(hAPP(c_List_Onth(_u18830), _u18831), _u18829))) | hBOOL(hAPP(hAPP(c_member(_u18830), skolem483(_u18832, _u18831, _u18830, _u18829)), hAPP(c_List_Oset(_u18830), _u18831))) )).
% 12.21/12.48 cnf(matrix-7712, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18829), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18830)), _u18831))) | hBOOL(hAPP(_u18832, hAPP(hAPP(c_List_Onth(_u18830), _u18831), _u18829))) | ~hBOOL(hAPP(_u18832, skolem483(_u18832, _u18831, _u18830, _u18829))) )).
% 12.21/12.48 cnf(matrix-7713, plain, ( ~class_Orderings_Olinorder(_u18834) | ~c_List_Olinorder__class_Osorted(_u18834, _u18835) | c_List_Olinorder__class_Osorted(_u18834, hAPP(hAPP(c_List_Olist_OCons(_u18834), _u18836), _u18835)) | hBOOL(hAPP(hAPP(c_member(_u18834), skolem484(_u18836, _u18835, _u18834)), hAPP(c_List_Oset(_u18834), _u18835))) )).
% 12.21/12.48 cnf(matrix-7714, plain, ( ~class_Orderings_Olinorder(_u18834) | ~c_List_Olinorder__class_Osorted(_u18834, _u18835) | c_List_Olinorder__class_Osorted(_u18834, hAPP(hAPP(c_List_Olist_OCons(_u18834), _u18836), _u18835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18834), _u18836), skolem484(_u18836, _u18835, _u18834))) )).
% 12.21/12.48 cnf(matrix-7715, plain, ( ~c_List_Olist__ex(_u18842, _u18844, _u18846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u18846, _u18844, _u18842)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18842)), _u18846))) )).
% 12.21/12.48 cnf(matrix-7716, plain, ( ~c_List_Olist__ex(_u18842, _u18844, _u18846) | hBOOL(hAPP(_u18844, hAPP(hAPP(c_List_Onth(_u18842), _u18846), skolem485(_u18846, _u18844, _u18842)))) )).
% 12.21/12.48 cnf(matrix-7717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18843)), _u18847))) | ~hBOOL(hAPP(_u18845, hAPP(hAPP(c_List_Onth(_u18843), _u18847), _u18838))) | c_List_Olist__ex(_u18843, _u18845, _u18847) )).
% 12.21/12.48 cnf(matrix-7718, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18855), _u18857), hAPP(c_List_Oset(_u18855), _u18859))) | ( _u18859 = hAPP(hAPP(c_List_Oappend(_u18855), skolem486(_u18859, _u18857, _u18855)), hAPP(hAPP(c_List_Olist_OCons(_u18855), _u18857), skolem487(_u18859, _u18857, _u18855)))) )).
% 12.21/12.48 cnf(matrix-7719, plain, ( ( _u18860 != hAPP(hAPP(c_List_Oappend(_u18856), _u18851), hAPP(hAPP(c_List_Olist_OCons(_u18856), _u18858), _u18850))) | hBOOL(hAPP(hAPP(c_member(_u18856), _u18858), hAPP(c_List_Oset(_u18856), _u18860))) )).
% 12.21/12.48 cnf(matrix-7720, plain, ( ~c_List_Olist__ex(_u18861, _u18862, c_List_Olist_ONil(_u18861)) )).
% 12.21/12.48 cnf(matrix-7721, plain, ( ~c_List_Olist__ex(_u18867, _u18869, hAPP(hAPP(c_List_Oappend(_u18867), _u18871), _u18873)) | c_List_Olist__ex(_u18867, _u18869, _u18871) | c_List_Olist__ex(_u18867, _u18869, _u18873) )).
% 12.21/12.48 cnf(matrix-7722, plain, ( c_List_Olist__ex(_u18868, _u18870, hAPP(hAPP(c_List_Oappend(_u18868), _u18872), _u18874)) | ~c_List_Olist__ex(_u18868, _u18870, _u18872) )).
% 12.21/12.48 cnf(matrix-7723, plain, ( c_List_Olist__ex(_u18868, _u18870, hAPP(hAPP(c_List_Oappend(_u18868), _u18872), _u18874)) | ~c_List_Olist__ex(_u18868, _u18870, _u18874) )).
% 12.21/12.48 cnf(matrix-7724, plain, ( ~c_List_Olist__ex(_u18880, _u18882, _u18884) | hBOOL(hAPP(hAPP(c_member(_u18880), skolem488(_u18884, _u18882, _u18880)), hAPP(c_List_Oset(_u18880), _u18884))) )).
% 12.21/12.48 cnf(matrix-7725, plain, ( ~c_List_Olist__ex(_u18880, _u18882, _u18884) | hBOOL(hAPP(_u18882, skolem488(_u18884, _u18882, _u18880))) )).
% 12.21/12.48 cnf(matrix-7726, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18881), _u18876), hAPP(c_List_Oset(_u18881), _u18885))) | ~hBOOL(hAPP(_u18883, _u18876)) | c_List_Olist__ex(_u18881, _u18883, _u18885) )).
% 12.21/12.48 cnf(matrix-7727, plain, ( ~c_List_Olist__ex(_u18889, _u18891, hAPP(c_List_Orev(_u18889), _u18893)) | c_List_Olist__ex(_u18889, _u18891, _u18893) )).
% 12.21/12.48 cnf(matrix-7728, plain, ( ~c_List_Olist__ex(_u18890, _u18892, _u18894) | c_List_Olist__ex(_u18890, _u18892, hAPP(c_List_Orev(_u18890), _u18894)) )).
% 12.21/12.48 cnf(matrix-7729, plain, ( ~c_List_Olist__ex(_u18899, _u18901, hAPP(hAPP(c_List_Olist_OCons(_u18899), _u18903), _u18905)) | hBOOL(hAPP(_u18901, _u18903)) | c_List_Olist__ex(_u18899, _u18901, _u18905) )).
% 12.21/12.48 cnf(matrix-7730, plain, ( c_List_Olist__ex(_u18900, _u18902, hAPP(hAPP(c_List_Olist_OCons(_u18900), _u18904), _u18906)) | ~hBOOL(hAPP(_u18902, _u18904)) )).
% 12.21/12.48 cnf(matrix-7731, plain, ( c_List_Olist__ex(_u18900, _u18902, hAPP(hAPP(c_List_Olist_OCons(_u18900), _u18904), _u18906)) | ~c_List_Olist__ex(_u18900, _u18902, _u18906) )).
% 12.21/12.48 cnf(matrix-7732, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18914), _u18916), hAPP(c_List_Oset(_u18914), _u18918))) | ( _u18918 = hAPP(hAPP(c_List_Oappend(_u18914), skolem489(_u18918, _u18916, _u18914)), hAPP(hAPP(c_List_Olist_OCons(_u18914), _u18916), skolem490(_u18918, _u18916, _u18914)))) )).
% 12.21/12.48 cnf(matrix-7733, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18914), _u18916), hAPP(c_List_Oset(_u18914), _u18918))) | ~hBOOL(hAPP(hAPP(c_member(_u18914), _u18916), hAPP(c_List_Oset(_u18914), skolem489(_u18918, _u18916, _u18914)))) )).
% 12.21/12.48 cnf(matrix-7734, plain, ( ( _u18919 != hAPP(hAPP(c_List_Oappend(_u18915), _u18910), hAPP(hAPP(c_List_Olist_OCons(_u18915), _u18917), _u18909))) | hBOOL(hAPP(hAPP(c_member(_u18915), _u18917), hAPP(c_List_Oset(_u18915), _u18910))) | hBOOL(hAPP(hAPP(c_member(_u18915), _u18917), hAPP(c_List_Oset(_u18915), _u18919))) )).
% 12.21/12.48 cnf(matrix-7735, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18927), _u18929), hAPP(c_List_Oset(_u18927), _u18931))) | ( _u18931 = hAPP(hAPP(c_List_Oappend(_u18927), skolem491(_u18931, _u18929, _u18927)), hAPP(hAPP(c_List_Olist_OCons(_u18927), _u18929), skolem492(_u18931, _u18929, _u18927)))) )).
% 12.21/12.48 cnf(matrix-7736, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18927), _u18929), hAPP(c_List_Oset(_u18927), _u18931))) | ~hBOOL(hAPP(hAPP(c_member(_u18927), _u18929), hAPP(c_List_Oset(_u18927), skolem492(_u18931, _u18929, _u18927)))) )).
% 12.21/12.48 cnf(matrix-7737, plain, ( ( _u18932 != hAPP(hAPP(c_List_Oappend(_u18928), _u18923), hAPP(hAPP(c_List_Olist_OCons(_u18928), _u18930), _u18922))) | hBOOL(hAPP(hAPP(c_member(_u18928), _u18930), hAPP(c_List_Oset(_u18928), _u18922))) | hBOOL(hAPP(hAPP(c_member(_u18928), _u18930), hAPP(c_List_Oset(_u18928), _u18932))) )).
% 12.21/12.48 cnf(matrix-7738, plain, ( ~c_List_Olist__all(_u18938, _u18940, _u18942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18933), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18938)), _u18942))) | hBOOL(hAPP(_u18940, hAPP(hAPP(c_List_Onth(_u18938), _u18942), _u18933))) )).
% 12.21/12.48 cnf(matrix-7739, plain, ( c_List_Olist__all(_u18939, _u18941, _u18943) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem493(_u18943, _u18941, _u18939)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18939)), _u18943))) )).
% 12.21/12.48 cnf(matrix-7740, plain, ( c_List_Olist__all(_u18939, _u18941, _u18943) | ~hBOOL(hAPP(_u18941, hAPP(hAPP(c_List_Onth(_u18939), _u18943), skolem493(_u18943, _u18941, _u18939)))) )).
% 12.21/12.48 cnf(matrix-7741, 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))) )).
% 12.21/12.48 cnf(matrix-7742, plain, ( c_List_Olist__all(_u18944, _u18945, c_List_Olist_ONil(_u18944)) )).
% 12.21/12.48 cnf(matrix-7743, plain, ( ~c_List_Olist__all(_u18950, _u18952, hAPP(hAPP(c_List_Oappend(_u18950), _u18954), _u18956)) | c_List_Olist__all(_u18950, _u18952, _u18954) )).
% 12.21/12.48 cnf(matrix-7744, plain, ( ~c_List_Olist__all(_u18950, _u18952, hAPP(hAPP(c_List_Oappend(_u18950), _u18954), _u18956)) | c_List_Olist__all(_u18950, _u18952, _u18956) )).
% 12.21/12.48 cnf(matrix-7745, plain, ( ~c_List_Olist__all(_u18951, _u18953, _u18955) | ~c_List_Olist__all(_u18951, _u18953, _u18957) | c_List_Olist__all(_u18951, _u18953, hAPP(hAPP(c_List_Oappend(_u18951), _u18955), _u18957)) )).
% 12.21/12.48 cnf(matrix-7746, plain, ( ~class_Nat_Osize(_u18958) | c_FunDef_Ois__measure(_u18958, c_Nat_Osize__class_Osize(_u18958)) )).
% 12.21/12.48 cnf(matrix-7747, plain, ( c_FunDef_Ois__measure(_u18959, _u18960) )).
% 12.21/12.48 cnf(matrix-7748, plain, ( c_FunDef_Ois__measure(_u18961, _u18962) )).
% 12.21/12.48 cnf(matrix-7749, plain, ( c_FunDef_Ois__measure(_u18963, _u18964) )).
% 12.21/12.48 cnf(matrix-7750, plain, ( ~c_List_Olist__all(_u18970, _u18972, _u18974) | ~hBOOL(hAPP(hAPP(c_member(_u18970), _u18965), hAPP(c_List_Oset(_u18970), _u18974))) | hBOOL(hAPP(_u18972, _u18965)) )).
% 12.21/12.48 cnf(matrix-7751, plain, ( c_List_Olist__all(_u18971, _u18973, _u18975) | hBOOL(hAPP(hAPP(c_member(_u18971), skolem494(_u18975, _u18973, _u18971)), hAPP(c_List_Oset(_u18971), _u18975))) )).
% 12.21/12.48 cnf(matrix-7752, plain, ( c_List_Olist__all(_u18971, _u18973, _u18975) | ~hBOOL(hAPP(_u18973, skolem494(_u18975, _u18973, _u18971))) )).
% 12.21/12.48 cnf(matrix-7753, plain, ( ~c_FunDef_Ois__measure(_u18976, _u18977) | c_FunDef_Ois__measure(tc_prod(_u18976, _u18978), hAPP(hAPP(c_COMBB(_u18976, tc_Nat_Onat, tc_prod(_u18976, _u18978)), _u18977), c_Product__Type_Ofst(_u18976, _u18978))) )).
% 12.21/12.48 cnf(matrix-7754, plain, ( ~c_FunDef_Ois__measure(_u18979, _u18980) | c_FunDef_Ois__measure(tc_prod(_u18981, _u18979), hAPP(hAPP(c_COMBB(_u18979, tc_Nat_Onat, tc_prod(_u18981, _u18979)), _u18980), c_Product__Type_Osnd(_u18981, _u18979))) )).
% 12.21/12.48 cnf(matrix-7755, plain, ( ~c_List_Olist__all(_u18985, _u18987, hAPP(c_List_Orev(_u18985), _u18989)) | c_List_Olist__all(_u18985, _u18987, _u18989) )).
% 12.21/12.48 cnf(matrix-7756, plain, ( ~c_List_Olist__all(_u18986, _u18988, _u18990) | c_List_Olist__all(_u18986, _u18988, hAPP(c_List_Orev(_u18986), _u18990)) )).
% 12.21/12.48 cnf(matrix-7757, plain, ( ~c_List_Olist__all(_u18995, _u18997, hAPP(hAPP(c_List_Olist_OCons(_u18995), _u18999), _u19001)) | hBOOL(hAPP(_u18997, _u18999)) )).
% 12.21/12.48 cnf(matrix-7758, plain, ( ~c_List_Olist__all(_u18995, _u18997, hAPP(hAPP(c_List_Olist_OCons(_u18995), _u18999), _u19001)) | c_List_Olist__all(_u18995, _u18997, _u19001) )).
% 12.21/12.48 cnf(matrix-7759, plain, ( ~hBOOL(hAPP(_u18998, _u19000)) | ~c_List_Olist__all(_u18996, _u18998, _u19002) | c_List_Olist__all(_u18996, _u18998, hAPP(hAPP(c_List_Olist_OCons(_u18996), _u19000), _u19002)) )).
% 12.21/12.48 cnf(matrix-7760, plain, ( c_List_Olist__all(_u19008, _u19012, _u19010) | hBOOL(hAPP(hAPP(c_member(_u19008), skolem495(_u19012, _u19010, _u19008)), hAPP(c_List_Oset(_u19008), _u19010))) )).
% 12.21/12.48 cnf(matrix-7761, plain, ( c_List_Olist__all(_u19008, _u19012, _u19010) | ~hBOOL(hAPP(_u19012, skolem495(_u19012, _u19010, _u19008))) )).
% 12.21/12.48 cnf(matrix-7762, plain, ( ~c_List_Olist__all(_u19009, _u19013, _u19011) | ~hBOOL(hAPP(hAPP(c_member(_u19009), _u19004), hAPP(c_List_Oset(_u19009), _u19011))) | hBOOL(hAPP(_u19013, _u19004)) )).
% 12.21/12.48 cnf(matrix-7763, plain, ( ~c_List_Olist__all(_u19019, _u19021, _u19023) | ~hBOOL(hAPP(hAPP(c_member(_u19019), _u19014), hAPP(c_List_Oset(_u19019), _u19023))) | hBOOL(hAPP(_u19021, _u19014)) )).
% 12.21/12.48 cnf(matrix-7764, plain, ( c_List_Olist__all(_u19020, _u19022, _u19024) | hBOOL(hAPP(hAPP(c_member(_u19020), skolem496(_u19024, _u19022, _u19020)), hAPP(c_List_Oset(_u19020), _u19024))) )).
% 12.21/12.48 cnf(matrix-7765, plain, ( c_List_Olist__all(_u19020, _u19022, _u19024) | ~hBOOL(hAPP(_u19022, skolem496(_u19024, _u19022, _u19020))) )).
% 12.21/12.48 cnf(matrix-7766, plain, ( ~c_List_Olist__ex1(_u19029, _u19031, hAPP(hAPP(c_List_Olist_OCons(_u19029), _u19033), _u19035)) | ~hBOOL(hAPP(_u19031, _u19033)) | c_List_Olist__all(_u19029, hAPP(hAPP(c_COMBS(_u19029, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19029), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19029), c_fNot), _u19031))), hAPP(c_fequal, _u19033)), _u19035) )).
% 12.21/12.48 cnf(matrix-7767, plain, ( ~c_List_Olist__ex1(_u19029, _u19031, hAPP(hAPP(c_List_Olist_OCons(_u19029), _u19033), _u19035)) | hBOOL(hAPP(_u19031, _u19033)) | c_List_Olist__ex1(_u19029, _u19031, _u19035) )).
% 12.21/12.48 cnf(matrix-7768, plain, ( c_List_Olist__ex1(_u19030, _u19032, hAPP(hAPP(c_List_Olist_OCons(_u19030), _u19034), _u19036)) | hBOOL(hAPP(_u19032, _u19034)) | ~c_List_Olist__ex1(_u19030, _u19032, _u19036) )).
% 12.21/12.48 cnf(matrix-7769, plain, ( c_List_Olist__ex1(_u19030, _u19032, hAPP(hAPP(c_List_Olist_OCons(_u19030), _u19034), _u19036)) | ~c_List_Olist__all(_u19030, hAPP(hAPP(c_COMBS(_u19030, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19030), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19030), c_fNot), _u19032))), hAPP(c_fequal, _u19034)), _u19036) | ~hBOOL(hAPP(_u19032, _u19034)) )).
% 12.21/12.48 cnf(matrix-7770, plain, ( c_List_Olist__ex1(_u19030, _u19032, hAPP(hAPP(c_List_Olist_OCons(_u19030), _u19034), _u19036)) | ~c_List_Olist__all(_u19030, hAPP(hAPP(c_COMBS(_u19030, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19030), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19030), c_fNot), _u19032))), hAPP(c_fequal, _u19034)), _u19036) | ~c_List_Olist__ex1(_u19030, _u19032, _u19036) )).
% 12.21/12.48 cnf(matrix-7771, 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)) )).
% 12.21/12.48 cnf(matrix-7772, plain, ( ~c_List_Olist__ex1(_u19037, _u19038, c_List_Olist_ONil(_u19037)) )).
% 12.21/12.48 cnf(matrix-7773, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7774, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7775, plain, ( ~c_List_Olist__ex1(_u19046, _u19048, _u19050) | hBOOL(hAPP(hAPP(c_member(_u19046), skolem497(_u19050, _u19048, _u19046)), hAPP(c_List_Oset(_u19046), _u19050))) )).
% 12.21/12.48 cnf(matrix-7776, plain, ( ~c_List_Olist__ex1(_u19046, _u19048, _u19050) | hBOOL(hAPP(_u19048, skolem497(_u19050, _u19048, _u19046))) )).
% 12.21/12.48 cnf(matrix-7777, plain, ( ~c_List_Olist__ex1(_u19046, _u19048, _u19050) | ~hBOOL(hAPP(hAPP(c_member(_u19046), _u19039), hAPP(c_List_Oset(_u19046), _u19050))) | ~hBOOL(hAPP(_u19048, _u19039)) | ( _u19039 = skolem497(_u19050, _u19048, _u19046)) )).
% 12.21/12.48 cnf(matrix-7778, plain, ( c_List_Olist__ex1(_u19047, _u19049, _u19051) | ~hBOOL(hAPP(hAPP(c_member(_u19047), _u19042), hAPP(c_List_Oset(_u19047), _u19051))) | ~hBOOL(hAPP(_u19049, _u19042)) | hBOOL(hAPP(hAPP(c_member(_u19047), skolem498(_u19051, _u19049, _u19047, _u19042)), hAPP(c_List_Oset(_u19047), _u19051))) )).
% 12.21/12.48 cnf(matrix-7779, plain, ( c_List_Olist__ex1(_u19047, _u19049, _u19051) | ~hBOOL(hAPP(hAPP(c_member(_u19047), _u19042), hAPP(c_List_Oset(_u19047), _u19051))) | ~hBOOL(hAPP(_u19049, _u19042)) | hBOOL(hAPP(_u19049, skolem498(_u19051, _u19049, _u19047, _u19042))) )).
% 12.21/12.48 cnf(matrix-7780, plain, ( c_List_Olist__ex1(_u19047, _u19049, _u19051) | ~hBOOL(hAPP(hAPP(c_member(_u19047), _u19042), hAPP(c_List_Oset(_u19047), _u19051))) | ~hBOOL(hAPP(_u19049, _u19042)) | ( skolem498(_u19051, _u19049, _u19047, _u19042) != _u19042) )).
% 12.21/12.48 cnf(matrix-7781, plain, ( ( _u19057 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19059, _u19061, _u19063, _u19065), _u19057) = c_Lazy__Sequence_Ohit__bound(_u19061)) )).
% 12.21/12.48 cnf(matrix-7782, plain, ( ( _u19058 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19060, _u19062, _u19064, _u19066), _u19058) = c_Lazy__Sequence_Ohb__bind(_u19060, _u19062, hAPP(_u19064, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19058), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19060, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19062))), _u19066), _u19058))) )).
% 12.21/12.48 cnf(matrix-7783, plain, ( ( _u19072 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19074, _u19076, _u19078, _u19080), _u19072) = c_Lazy__Sequence_Oempty(_u19076)) )).
% 12.21/12.48 cnf(matrix-7784, plain, ( ( _u19073 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19075, _u19077, _u19079, _u19081), _u19073) = hAPP(c_Lazy__Sequence_Obind(_u19075, _u19077, hAPP(_u19079, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19073), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19075, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19077)), _u19081), _u19073))) )).
% 12.21/12.48 cnf(matrix-7785, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19082, _u19083, _u19084, _u19085, _u19086, _u19087, _u19088) = c_New__DSequence_Oneg__decr__bind(_u19082, _u19083, hAPP(hAPP(hAPP(_u19084, _u19086), _u19087), _u19088), hAPP(hAPP(c_COMBC(_u19082, 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(_u19083)))), hAPP(hAPP(c_COMBC(_u19082, 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(_u19083))))), hAPP(hAPP(c_COMBC(_u19082, 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(_u19083)))))), _u19085), _u19086)), _u19087)), _u19088))) )).
% 12.21/12.48 cnf(matrix-7786, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19089, _u19090, _u19091, _u19092, _u19093, _u19094, _u19095) = c_New__DSequence_Opos__decr__bind(_u19089, _u19090, hAPP(hAPP(hAPP(_u19091, _u19093), _u19094), _u19095), hAPP(hAPP(c_COMBC(_u19089, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19090))), hAPP(hAPP(c_COMBC(_u19089, 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(_u19090)))), hAPP(hAPP(c_COMBC(_u19089, 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(_u19090))))), _u19092), _u19093)), _u19094)), _u19095))) )).
% 12.21/12.48 cnf(matrix-7787, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19096, _u19097, _u19098, _u19099), _u19100) = c_Lazy__Sequence_Ohb__bind(_u19096, _u19097, hAPP(_u19098, _u19100), hAPP(hAPP(c_COMBC(_u19096, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19097))), _u19099), _u19100))) )).
% 12.21/12.48 cnf(matrix-7788, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u19101), _u19102) = c_Lazy__Sequence_Oempty(_u19101)) )).
% 12.21/12.48 cnf(matrix-7789, plain, ( ( c_New__Random__Sequence_Opos__empty(_u19103, _u19104, _u19105, _u19106) = c_New__DSequence_Opos__empty(_u19103)) )).
% 12.21/12.48 cnf(matrix-7790, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19107, _u19108, _u19109, _u19110), _u19111), _u19112), _u19113) = c_New__DSequence_Oneg__bind(_u19107, _u19108, hAPP(hAPP(hAPP(_u19109, _u19111), _u19112), _u19113), hAPP(hAPP(c_COMBC(_u19107, 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(_u19108)))), hAPP(hAPP(c_COMBC(_u19107, 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(_u19108))))), hAPP(hAPP(c_COMBC(_u19107, 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(_u19108)))))), _u19110), _u19111)), _u19112)), _u19113))) )).
% 12.21/12.48 cnf(matrix-7791, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u19114, _u19115, _u19116, _u19117), _u19118) = hAPP(c_Lazy__Sequence_Obind(_u19114, _u19115, hAPP(_u19116, _u19118)), hAPP(hAPP(c_COMBC(_u19114, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19115)), _u19117), _u19118))) )).
% 12.21/12.48 cnf(matrix-7792, plain, ( ( c_New__Random__Sequence_Oneg__map(_u19119, _u19120, _u19121, _u19122) = c_New__Random__Sequence_Oneg__bind(_u19119, _u19120, _u19122, hAPP(c_Fun_Ocomp(_u19120, 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(_u19120)))))), _u19119, c_New__Random__Sequence_Oneg__single(_u19120)), _u19121))) )).
% 12.21/12.48 cnf(matrix-7793, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19123), _u19124), _u19125), _u19126), _u19127) = c_New__DSequence_Oneg__single(_u19123, _u19124)) )).
% 12.21/12.48 cnf(matrix-7794, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19128, _u19129, _u19130, _u19131), _u19132), _u19133), _u19134) = c_New__DSequence_Opos__bind(_u19128, _u19129, hAPP(hAPP(hAPP(_u19130, _u19132), _u19133), _u19134), hAPP(hAPP(c_COMBC(_u19128, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19129))), hAPP(hAPP(c_COMBC(_u19128, 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(_u19129)))), hAPP(hAPP(c_COMBC(_u19128, 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(_u19129))))), _u19131), _u19132)), _u19133)), _u19134))) )).
% 12.21/12.48 cnf(matrix-7795, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u19135, _u19136), _u19137) = c_Lazy__Sequence_Ohb__single(_u19135, _u19136)) )).
% 12.21/12.48 cnf(matrix-7796, plain, ( ( c_New__Random__Sequence_Opos__map(_u19138, _u19139, _u19140, _u19141) = c_New__Random__Sequence_Opos__bind(_u19138, _u19139, _u19141, hAPP(c_Fun_Ocomp(_u19139, 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(_u19139))))), _u19138, c_New__Random__Sequence_Opos__single(_u19139)), _u19140))) )).
% 12.21/12.48 cnf(matrix-7797, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19142), _u19143), _u19144), _u19145), _u19146) = c_New__DSequence_Opos__single(_u19142, _u19143)) )).
% 12.21/12.48 cnf(matrix-7798, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19147)), c_List_Osplice(_u19147, _u19148, _u19149)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19147)), _u19148)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19147)), _u19149))) )).
% 12.21/12.48 cnf(matrix-7799, plain, ( ( c_List_Osplice(_u19150, hAPP(hAPP(c_List_Olist_OCons(_u19150), _u19151), _u19152), hAPP(hAPP(c_List_Olist_OCons(_u19150), _u19153), _u19154)) = hAPP(hAPP(c_List_Olist_OCons(_u19150), _u19151), hAPP(hAPP(c_List_Olist_OCons(_u19150), _u19153), c_List_Osplice(_u19150, _u19152, _u19154)))) )).
% 12.21/12.48 cnf(matrix-7800, plain, ( ( c_List_Osplice(_u19155, c_List_Olist_ONil(_u19155), _u19156) = _u19156) )).
% 12.21/12.48 cnf(matrix-7801, plain, ( ( c_List_Osplice(_u19157, _u19158, c_List_Olist_ONil(_u19157)) = _u19158) )).
% 12.21/12.48 cnf(matrix-7802, plain, ( ( c_List_Osplice(_u19159, hAPP(hAPP(c_List_Olist_OCons(_u19159), _u19160), _u19161), c_List_Olist_ONil(_u19159)) = hAPP(hAPP(c_List_Olist_OCons(_u19159), _u19160), _u19161)) )).
% 12.21/12.48 cnf(matrix-7803, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u19162, _u19163), _u19164) = hAPP(c_Lazy__Sequence_Osingle(_u19162), _u19163)) )).
% 12.21/12.48 cnf(matrix-7804, plain, ( ~c_Wellfounded_Oacyclic(_u19167, hAPP(c_Set_OCollect(tc_prod(_u19167, _u19167)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19167, _u19167, tc_HOL_Obool), c_Predicate_Oconversep(_u19167, _u19167, _u19169)))) | c_Wellfounded_Oacyclic(_u19167, hAPP(c_Set_OCollect(tc_prod(_u19167, _u19167)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19167, _u19167, tc_HOL_Obool), _u19169))) )).
% 12.21/12.48 cnf(matrix-7805, plain, ( ~c_Wellfounded_Oacyclic(_u19168, hAPP(c_Set_OCollect(tc_prod(_u19168, _u19168)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19168, _u19168, tc_HOL_Obool), _u19170))) | c_Wellfounded_Oacyclic(_u19168, hAPP(c_Set_OCollect(tc_prod(_u19168, _u19168)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19168, _u19168, tc_HOL_Obool), c_Predicate_Oconversep(_u19168, _u19168, _u19170)))) )).
% 12.21/12.48 cnf(matrix-7806, plain, ( ( _u19176 != _u19178) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19174, _u19174, hAPP(hAPP(c_COMBB(tc_fun(_u19174, tc_HOL_Obool), tc_fun(_u19174, tc_HOL_Obool), _u19174), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19174), c_fNot)), c_fequal)), _u19176), _u19178)) )).
% 12.21/12.48 cnf(matrix-7807, plain, ( ( _u19177 = _u19179) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19175, _u19175, hAPP(hAPP(c_COMBB(tc_fun(_u19175, tc_HOL_Obool), tc_fun(_u19175, tc_HOL_Obool), _u19175), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19175), c_fNot)), c_fequal)), _u19177), _u19179)) )).
% 12.21/12.48 cnf(matrix-7808, plain, ( hBOOL(hAPP(hAPP(_u19182, _u19184), _u19183)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19180, _u19181, _u19182), _u19183), _u19184)) )).
% 12.21/12.48 cnf(matrix-7809, plain, ( ~hBOOL(hAPP(hAPP(_u19185, _u19186), _u19187)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19188, _u19189, _u19185), _u19187), _u19186)) )).
% 12.21/12.48 cnf(matrix-7810, plain, ( hBOOL(hAPP(hAPP(_u19199, _u19203), _u19201)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19195, _u19197, _u19199), _u19201), _u19203)) )).
% 12.21/12.48 cnf(matrix-7811, plain, ( ~hBOOL(hAPP(hAPP(_u19200, _u19204), _u19202)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19196, _u19198, _u19200), _u19202), _u19204)) )).
% 12.21/12.48 cnf(matrix-7812, plain, ( hBOOL(hAPP(hAPP(_u19214, _u19218), _u19216)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19210, _u19212, _u19214), _u19216), _u19218)) )).
% 12.21/12.48 cnf(matrix-7813, plain, ( ~hBOOL(hAPP(hAPP(_u19215, _u19219), _u19217)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19211, _u19213, _u19215), _u19217), _u19219)) )).
% 12.21/12.48 cnf(matrix-7814, plain, ( ( c_Predicate_Oconversep(_u19220, _u19221, c_Predicate_Oconversep(_u19221, _u19220, _u19222)) = _u19222) )).
% 12.21/12.48 cnf(matrix-7815, plain, ( ( c_Predicate_Oconversep(_u19223, _u19223, c_fequal) = c_fequal) )).
% 12.21/12.48 cnf(matrix-7816, plain, ( ( c_Predicate_Oconversep(_u19224, _u19225, c_Predicate_Opred__comp(_u19224, _u19226, _u19225, _u19227, _u19228)) = c_Predicate_Opred__comp(_u19225, _u19226, _u19224, c_Predicate_Oconversep(_u19226, _u19225, _u19228), c_Predicate_Oconversep(_u19224, _u19226, _u19227))) )).
% 12.21/12.48 cnf(matrix-7817, plain, ( ( c_Predicate_Oconversep(_u19229, _u19230, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19229, tc_fun(_u19230, tc_HOL_Obool))), _u19231), _u19232)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19230, tc_fun(_u19229, tc_HOL_Obool))), c_Predicate_Oconversep(_u19229, _u19230, _u19231)), c_Predicate_Oconversep(_u19229, _u19230, _u19232))) )).
% 12.21/12.48 cnf(matrix-7818, plain, ( ( c_Predicate_Oconversep(_u19233, _u19234, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19233, tc_fun(_u19234, tc_HOL_Obool))), _u19235), _u19236)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19234, tc_fun(_u19233, tc_HOL_Obool))), c_Predicate_Oconversep(_u19233, _u19234, _u19235)), c_Predicate_Oconversep(_u19233, _u19234, _u19236))) )).
% 12.21/12.48 cnf(matrix-7819, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19242, _u19244, hAPP(hAPP(c_COMBC(_u19242, tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_fun(_u19244, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19244, tc_fun(tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_fun(_u19244, tc_HOL_Obool)), _u19242), c_COMBC(_u19244, tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19244, tc_prod(_u19242, _u19244)), tc_fun(_u19244, tc_fun(tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_HOL_Obool)), _u19242), hAPP(c_COMBB(tc_prod(_u19242, _u19244), tc_fun(tc_fun(tc_prod(_u19242, _u19244), tc_HOL_Obool), tc_HOL_Obool), _u19244), c_member(tc_prod(_u19242, _u19244)))), c_Product__Type_OPair(_u19242, _u19244)))), _u19246)), _u19248), _u19250)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19244, _u19242)), hAPP(hAPP(c_Product__Type_OPair(_u19244, _u19242), _u19248), _u19250)), hAPP(c_Relation_Oconverse(_u19242, _u19244), _u19246))) )).
% 12.21/12.48 cnf(matrix-7820, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19245, _u19243)), hAPP(hAPP(c_Product__Type_OPair(_u19245, _u19243), _u19249), _u19251)), hAPP(c_Relation_Oconverse(_u19243, _u19245), _u19247))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19243, _u19245, hAPP(hAPP(c_COMBC(_u19243, tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_fun(_u19245, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19245, tc_fun(tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_fun(_u19245, tc_HOL_Obool)), _u19243), c_COMBC(_u19245, tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19245, tc_prod(_u19243, _u19245)), tc_fun(_u19245, tc_fun(tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_HOL_Obool)), _u19243), hAPP(c_COMBB(tc_prod(_u19243, _u19245), tc_fun(tc_fun(tc_prod(_u19243, _u19245), tc_HOL_Obool), tc_HOL_Obool), _u19245), c_member(tc_prod(_u19243, _u19245)))), c_Product__Type_OPair(_u19243, _u19245)))), _u19247)), _u19249), _u19251)) )).
% 12.21/12.48 cnf(matrix-7821, plain, ( ( c_Lazy__Sequence_Oproduct(_u19252, _u19253, _u19254, _u19255) = hAPP(c_Lazy__Sequence_Obind(_u19252, tc_prod(_u19252, _u19253), _u19254), hAPP(hAPP(c_COMBB(tc_fun(_u19253, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19252, _u19253))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19252, _u19253)), _u19252), c_Lazy__Sequence_Obind(_u19253, tc_prod(_u19252, _u19253), _u19255)), hAPP(hAPP(c_COMBB(tc_fun(_u19253, tc_prod(_u19252, _u19253)), tc_fun(_u19253, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19252, _u19253))), _u19252), hAPP(c_COMBB(tc_prod(_u19252, _u19253), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19252, _u19253)), _u19253), c_Lazy__Sequence_Osingle(tc_prod(_u19252, _u19253)))), c_Product__Type_OPair(_u19252, _u19253))))) )).
% 12.21/12.48 cnf(matrix-7822, plain, ( ( _u19256 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19257), c_List_Oreplicate(_u19257, _u19256, _u19258)) = c_List_Oreplicate(_u19257, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19256), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19258)) )).
% 12.21/12.48 cnf(matrix-7823, plain, ( ( c_List_Oreplicate(_u19259, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19259)), hAPP(c_List_Ofilter(_u19259, hAPP(c_fequal, _u19260)), _u19261)), _u19260) = hAPP(c_List_Ofilter(_u19259, hAPP(c_fequal, _u19260)), _u19261)) )).
% 12.21/12.48 cnf(matrix-7824, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19262)), c_List_Oreplicate(_u19262, _u19263, _u19264)) = _u19263) )).
% 12.21/12.48 cnf(matrix-7825, plain, ( ( hAPP(hAPP(c_List_Omap(_u19265, _u19266), hAPP(c_COMBK(_u19266, _u19265), _u19267)), _u19268) = c_List_Oreplicate(_u19266, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19265)), _u19268), _u19267)) )).
% 12.21/12.48 cnf(matrix-7826, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19269), c_List_Oreplicate(_u19269, _u19270, _u19271)), hAPP(hAPP(c_List_Olist_OCons(_u19269), _u19271), _u19272)) = hAPP(hAPP(c_List_Olist_OCons(_u19269), _u19271), hAPP(hAPP(c_List_Oappend(_u19269), c_List_Oreplicate(_u19269, _u19270, _u19271)), _u19272))) )).
% 12.21/12.48 cnf(matrix-7827, plain, ( ( c_List_Oreplicate(_u19273, hAPP(c_Nat_OSuc, _u19274), _u19275) = hAPP(hAPP(c_List_Olist_OCons(_u19273), _u19275), c_List_Oreplicate(_u19273, _u19274, _u19275))) )).
% 12.21/12.48 cnf(matrix-7828, plain, ( ( hAPP(c_List_Orev(_u19276), c_List_Oreplicate(_u19276, _u19277, _u19278)) = c_List_Oreplicate(_u19276, _u19277, _u19278)) )).
% 12.21/12.48 cnf(matrix-7829, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19279), _u19280), c_List_Oreplicate(_u19279, _u19281, _u19282)) = c_List_Oreplicate(_u19279, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19281), _u19280), _u19282)) )).
% 12.21/12.48 cnf(matrix-7830, plain, ( ( _u19283 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19284), c_List_Oreplicate(_u19284, _u19283, _u19285)) = _u19285) )).
% 12.21/12.48 cnf(matrix-7831, plain, ( ( hAPP(hAPP(c_List_Otake(_u19286), _u19287), c_List_Oreplicate(_u19286, _u19288, _u19289)) = c_List_Oreplicate(_u19286, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19287), _u19288), _u19289)) )).
% 12.21/12.48 cnf(matrix-7832, plain, ( ( _u19290 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19291, c_List_Oreplicate(_u19291, _u19290, _u19292)) = _u19292) )).
% 12.21/12.48 cnf(matrix-7833, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19293, _u19294), c_List_Oreplicate(_u19293, _u19295, _u19296)), c_List_Oreplicate(_u19294, _u19297, _u19298)) = c_List_Oreplicate(tc_prod(_u19293, _u19294), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19295), _u19297), hAPP(hAPP(c_Product__Type_OPair(_u19293, _u19294), _u19296), _u19298))) )).
% 12.21/12.48 cnf(matrix-7834, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19305), _u19299), hAPP(c_List_Oset(_u19305), c_List_Oreplicate(_u19305, _u19307, _u19309)))) | ~hBOOL(hAPP(_u19311, _u19299)) | hBOOL(hAPP(_u19311, _u19309)) )).
% 12.21/12.48 cnf(matrix-7835, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19305), _u19299), hAPP(c_List_Oset(_u19305), c_List_Oreplicate(_u19305, _u19307, _u19309)))) | ~hBOOL(hAPP(_u19311, _u19299)) | ( _u19307 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7836, plain, ( ~hBOOL(hAPP(_u19312, _u19310)) | ( _u19308 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19306), skolem499(_u19312, _u19310, _u19308, _u19306)), hAPP(c_List_Oset(_u19306), c_List_Oreplicate(_u19306, _u19308, _u19310)))) )).
% 12.21/12.48 cnf(matrix-7837, plain, ( ~hBOOL(hAPP(_u19312, _u19310)) | ( _u19308 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19312, skolem499(_u19312, _u19310, _u19308, _u19306))) )).
% 12.21/12.48 cnf(matrix-7838, plain, ( hBOOL(hAPP(_u19325, _u19323)) | ( _u19321 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19319), skolem500(_u19325, _u19323, _u19321, _u19319)), hAPP(c_List_Oset(_u19319), c_List_Oreplicate(_u19319, _u19321, _u19323)))) )).
% 12.21/12.48 cnf(matrix-7839, plain, ( hBOOL(hAPP(_u19325, _u19323)) | ( _u19321 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19325, skolem500(_u19325, _u19323, _u19321, _u19319))) )).
% 12.21/12.48 cnf(matrix-7840, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19320), _u19314), hAPP(c_List_Oset(_u19320), c_List_Oreplicate(_u19320, _u19322, _u19324)))) | hBOOL(hAPP(_u19326, _u19314)) | ~hBOOL(hAPP(_u19326, _u19324)) )).
% 12.21/12.48 cnf(matrix-7841, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19320), _u19314), hAPP(c_List_Oset(_u19320), c_List_Oreplicate(_u19320, _u19322, _u19324)))) | hBOOL(hAPP(_u19326, _u19314)) | ( _u19322 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7842, plain, ( ( c_List_Oreplicate(_u19332, _u19334, _u19336) != c_List_Oreplicate(_u19332, _u19338, _u19340)) | ( _u19334 = _u19338) )).
% 12.21/12.48 cnf(matrix-7843, plain, ( ( c_List_Oreplicate(_u19332, _u19334, _u19336) != c_List_Oreplicate(_u19332, _u19338, _u19340)) | ( _u19334 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19336 = _u19340) )).
% 12.21/12.48 cnf(matrix-7844, plain, ( ( c_List_Oreplicate(_u19333, _u19335, _u19337) = c_List_Oreplicate(_u19333, _u19339, _u19341)) | ( _u19335 != _u19339) | ( _u19335 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7845, plain, ( ( c_List_Oreplicate(_u19333, _u19335, _u19337) = c_List_Oreplicate(_u19333, _u19339, _u19341)) | ( _u19335 != _u19339) | ( _u19337 != _u19341) )).
% 12.21/12.48 cnf(matrix-7846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19342), _u19343)) | ( hAPP(hAPP(c_List_Onth(_u19344), c_List_Oreplicate(_u19344, _u19343, _u19345)), _u19342) = _u19345) )).
% 12.21/12.48 cnf(matrix-7847, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19346), c_List_Oreplicate(_u19346, _u19347, _u19348)), c_List_Oreplicate(_u19346, _u19349, _u19348)) = hAPP(hAPP(c_List_Oappend(_u19346), c_List_Oreplicate(_u19346, _u19349, _u19348)), c_List_Oreplicate(_u19346, _u19347, _u19348))) )).
% 12.21/12.48 cnf(matrix-7848, plain, ( ( c_List_Oreplicate(_u19350, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19351), _u19352), _u19353) = hAPP(hAPP(c_List_Oappend(_u19350), c_List_Oreplicate(_u19350, _u19351, _u19353)), c_List_Oreplicate(_u19350, _u19352, _u19353))) )).
% 12.21/12.48 cnf(matrix-7849, plain, ( ~hBOOL(hAPP(_u19358, _u19360)) | ( hAPP(c_List_Ofilter(_u19362, _u19358), c_List_Oreplicate(_u19362, _u19364, _u19360)) = c_List_Oreplicate(_u19362, _u19364, _u19360)) )).
% 12.21/12.48 cnf(matrix-7850, plain, ( hBOOL(hAPP(_u19359, _u19361)) | ( hAPP(c_List_Ofilter(_u19363, _u19359), c_List_Oreplicate(_u19363, _u19365, _u19361)) = c_List_Olist_ONil(_u19363)) )).
% 12.21/12.48 cnf(matrix-7851, plain, ( ( c_List_Oconcat(_u19366, c_List_Oreplicate(tc_List_Olist(_u19366), _u19367, c_List_Olist_ONil(_u19366))) = c_List_Olist_ONil(_u19366)) )).
% 12.21/12.48 cnf(matrix-7852, plain, ( ( c_List_Oreplicate(_u19368, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19369) = c_List_Olist_ONil(_u19368)) )).
% 12.21/12.48 cnf(matrix-7853, plain, ( ( _u19375 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19373) != c_List_Oreplicate(_u19373, _u19375, _u19377)) )).
% 12.21/12.48 cnf(matrix-7854, plain, ( ( _u19376 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19374) = c_List_Oreplicate(_u19374, _u19376, _u19378)) )).
% 12.21/12.48 cnf(matrix-7855, plain, ( ( _u19384 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19382, _u19384, _u19386) != c_List_Olist_ONil(_u19382)) )).
% 12.21/12.48 cnf(matrix-7856, plain, ( ( _u19385 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19383, _u19385, _u19387) = c_List_Olist_ONil(_u19383)) )).
% 12.21/12.48 cnf(matrix-7857, plain, ( ( hAPP(hAPP(c_List_Omap(_u19388, _u19389), _u19390), c_List_Oreplicate(_u19388, _u19391, _u19392)) = c_List_Oreplicate(_u19389, _u19391, hAPP(_u19390, _u19392))) )).
% 12.21/12.48 cnf(matrix-7858, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19397), _u19399), hAPP(c_List_Oset(_u19397), c_List_Oreplicate(_u19397, _u19401, _u19403)))) | ( _u19399 = _u19403) )).
% 12.21/12.48 cnf(matrix-7859, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19397), _u19399), hAPP(c_List_Oset(_u19397), c_List_Oreplicate(_u19397, _u19401, _u19403)))) | ( _u19401 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7860, plain, ( ( _u19400 != _u19404) | ( _u19402 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19398), _u19400), hAPP(c_List_Oset(_u19398), c_List_Oreplicate(_u19398, _u19402, _u19404)))) )).
% 12.21/12.48 cnf(matrix-7861, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19405), c_List_Oreplicate(_u19405, _u19406, _u19407)), hAPP(hAPP(c_List_Olist_OCons(_u19405), _u19407), c_List_Olist_ONil(_u19405))) = hAPP(hAPP(c_List_Olist_OCons(_u19405), _u19407), c_List_Oreplicate(_u19405, _u19406, _u19407))) )).
% 12.21/12.48 cnf(matrix-7862, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19408), hAPP(c_COMBK(_u19408, tc_Nat_Onat), _u19409)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19410)) = c_List_Oreplicate(_u19408, _u19410, _u19409)) )).
% 12.21/12.48 cnf(matrix-7863, plain, ( ( _u19411 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19412), c_List_Oreplicate(_u19412, _u19411, _u19413)) = hAPP(hAPP(c_Set_Oinsert(_u19412), _u19413), c_Orderings_Obot__class_Obot(tc_fun(_u19412, tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-7864, plain, ( ( _u19417 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19419), c_List_Oreplicate(_u19419, _u19417, _u19421)) = c_Orderings_Obot__class_Obot(tc_fun(_u19419, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-7865, plain, ( ( _u19418 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19420), c_List_Oreplicate(_u19420, _u19418, _u19422)) = hAPP(hAPP(c_Set_Oinsert(_u19420), _u19422), c_Orderings_Obot__class_Obot(tc_fun(_u19420, tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-7866, plain, ( ( hAPP(c_List_Oset(_u19423), c_List_Oreplicate(_u19423, hAPP(c_Nat_OSuc, _u19424), _u19425)) = hAPP(hAPP(c_Set_Oinsert(_u19423), _u19425), c_Orderings_Obot__class_Obot(tc_fun(_u19423, tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-7867, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19426) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19426), _u19427) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19426), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19426)), c_List_Olist_ONil(_u19426)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19426))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19427)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19426, tc_List_Olist(_u19426)), tc_List_Olist(_u19426), c_Lazy__Sequence_Oproduct(_u19426, tc_List_Olist(_u19426), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19426, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19427), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19426), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19427), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19426, tc_List_Olist(_u19426), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19426))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19426), tc_List_Olist(_u19426)), tc_fun(tc_List_Olist(_u19426), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19426))), _u19426), hAPP(c_COMBB(tc_List_Olist(_u19426), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19426)), tc_List_Olist(_u19426)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19426)))), c_List_Olist_OCons(_u19426))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19426))))) )).
% 12.21/12.48 cnf(matrix-7868, plain, ( ( c_Predicate_Opred__comp(_u19428, _u19428, _u19428, c_fequal, c_Predicate_Opred__comp(_u19428, _u19428, _u19428, _u19429, c_fequal)) = _u19429) )).
% 12.21/12.48 cnf(matrix-7869, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19430) | ~class_Lazy__Sequence_Osmall__lazy(_u19431) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19430, _u19431), _u19432) = c_Lazy__Sequence_Oproduct(_u19430, _u19431, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19430, _u19432), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19431, _u19432))) )).
% 12.21/12.48 cnf(matrix-7870, plain, ( ( hAPP(c_New__DSequence_Opos__union(_u19433, _u19434, _u19435), _u19436) = c_Lazy__Sequence_Oappend(_u19433, hAPP(_u19434, _u19436), hAPP(_u19435, _u19436))) )).
% 12.21/12.48 cnf(matrix-7871, plain, ( ~class_Fields_Olinordered__field(_u19438) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), _u19439), _u19440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19438), c_Groups_Ozero__class_Ozero(_u19438)), skolem501(_u19440, _u19439, _u19438))) )).
% 12.21/12.48 cnf(matrix-7872, plain, ( ~class_Fields_Olinordered__field(_u19438) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), _u19439), _u19440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), _u19439), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19438), _u19440), skolem501(_u19440, _u19439, _u19438)))) )).
% 12.21/12.48 cnf(matrix-7873, plain, ( ( c_New__Random__Sequence_Opos__union(_u19441, _u19442, _u19443, _u19444, _u19445, _u19446) = c_New__DSequence_Opos__union(_u19441, hAPP(hAPP(hAPP(_u19442, _u19444), _u19445), _u19446), hAPP(hAPP(hAPP(_u19443, _u19444), _u19445), _u19446))) )).
% 12.21/12.48 cnf(matrix-7874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19449), _u19451)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19449, _u19451) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.21/12.48 cnf(matrix-7875, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19450), _u19452)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19450, _u19452) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19452), c_Lazy__Sequence_Osmall__lazy_H(_u19450, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19452), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.48 cnf(matrix-7876, plain, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19453) = c_Lazy__Sequence_Osmall__lazy_H(_u19453, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19453))) )).
% 12.21/12.48 cnf(matrix-7877, 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), _u19454), _u19455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19454), _u19455)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19454, _u19455) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.21/12.48 cnf(matrix-7878, 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), _u19454), _u19455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19454), _u19455)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19454, _u19455) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19455), c_Lazy__Sequence_Osmall__lazy_H(_u19454, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19455), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.48 cnf(matrix-7879, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19456)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19456, _u19457, _u19458)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19456)), _u19458)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.48 cnf(matrix-7880, plain, ( ( c_Lazy__Sequence_Oappend(_u19459, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19459, _u19460, _u19461), _u19462) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19459, _u19460, c_Lazy__Sequence_Oappend(_u19459, _u19461, _u19462))) )).
% 12.21/12.48 cnf(matrix-7881, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19468, _u19470, _u19472) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19468, _u19474, _u19476)) | ( _u19470 = _u19474) )).
% 12.21/12.48 cnf(matrix-7882, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19468, _u19470, _u19472) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19468, _u19474, _u19476)) | ( _u19472 = _u19476) )).
% 12.21/12.48 cnf(matrix-7883, plain, ( ( _u19471 != _u19475) | ( _u19473 != _u19477) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19469, _u19471, _u19473) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19469, _u19475, _u19477)) )).
% 12.21/12.48 cnf(matrix-7884, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19478, _u19479), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19478, _u19480, _u19481)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19479, _u19480)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19478, _u19479), _u19481))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.48 cnf(matrix-7885, 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), _u19484), _u19485))) | hBOOL(hAPP(hAPP(_u19486, _u19484), _u19485)) | 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), skolem502(_u19486, _u19485, _u19484)), skolem503(_u19486, _u19485, _u19484)))) )).
% 12.21/12.48 cnf(matrix-7886, 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), _u19484), _u19485))) | hBOOL(hAPP(hAPP(_u19486, _u19484), _u19485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem502(_u19486, _u19485, _u19484)), skolem503(_u19486, _u19485, _u19484))) | hBOOL(hAPP(hAPP(_u19486, skolem502(_u19486, _u19485, _u19484)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem503(_u19486, _u19485, _u19484)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.48 cnf(matrix-7887, 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), _u19484), _u19485))) | hBOOL(hAPP(hAPP(_u19486, _u19484), _u19485)) | ~hBOOL(hAPP(hAPP(_u19486, skolem502(_u19486, _u19485, _u19484)), skolem503(_u19486, _u19485, _u19484))) )).
% 12.21/12.48 cnf(matrix-7888, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19487)), _u19488) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19487, tc_Lazy__Sequence_Olazy__sequence(_u19487)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19487, tc_Lazy__Sequence_Olazy__sequence(_u19487), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19487), tc_Nat_Onat), _u19487), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19487), 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(_u19487)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19487)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19487), _u19488))) )).
% 12.21/12.48 cnf(matrix-7889, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19489, _u19490), _u19491) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19489, tc_Lazy__Sequence_Olazy__sequence(_u19489)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19489, tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19489, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat)), _u19489), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19489), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19489)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19489, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19489), tc_Nat_Onat)), _u19489), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19489))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19489), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19490))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19489, _u19490))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19489), _u19491))) )).
% 12.21/12.48 cnf(matrix-7890, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19492, _u19493, _u19494, _u19495, _u19496) = c_Option_Ooption_Ooption__case(_u19492, tc_prod(_u19493, tc_Lazy__Sequence_Olazy__sequence(_u19493)), _u19494, hAPP(c_Product__Type_Oprod_Oprod__case(_u19493, tc_Lazy__Sequence_Olazy__sequence(_u19493), _u19492), _u19495), hAPP(c_Lazy__Sequence_Oyield(_u19493), _u19496))) )).
% 12.21/12.48 cnf(matrix-7891, plain, ( ( c_Lazy__Sequence_Oyieldn(_u19497) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19497), _u19497, c_Lazy__Sequence_Oyield(_u19497))) )).
% 12.21/12.48 cnf(matrix-7892, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19498, _u19499, _u19500, _u19501, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19499, _u19502, _u19503)) = hAPP(hAPP(_u19501, _u19502), _u19503)) )).
% 12.21/12.48 cnf(matrix-7893, plain, ( c_Relation_Orefl__on(_u19507, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19505, tc_fun(_u19507, tc_HOL_Obool)), _u19506), _u19508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19505, tc_fun(tc_prod(_u19507, _u19507), tc_HOL_Obool)), _u19506), _u19509)) | hBOOL(hAPP(hAPP(c_member(_u19505), skolem504(_u19509, _u19508, _u19507, _u19506, _u19505)), _u19506)) )).
% 12.21/12.48 cnf(matrix-7894, plain, ( c_Relation_Orefl__on(_u19507, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19505, tc_fun(_u19507, tc_HOL_Obool)), _u19506), _u19508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19505, tc_fun(tc_prod(_u19507, _u19507), tc_HOL_Obool)), _u19506), _u19509)) | ~c_Relation_Orefl__on(_u19507, hAPP(_u19508, skolem504(_u19509, _u19508, _u19507, _u19506, _u19505)), hAPP(_u19509, skolem504(_u19509, _u19508, _u19507, _u19506, _u19505))) )).
% 12.21/12.48 cnf(matrix-7895, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19513), _u19515), hAPP(c_List_Oset(_u19513), _u19517))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19513), _u19517), _u19515)) )).
% 12.21/12.48 cnf(matrix-7896, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19514), _u19518), _u19516)) | hBOOL(hAPP(hAPP(c_member(_u19514), _u19516), hAPP(c_List_Oset(_u19514), _u19518))) )).
% 12.21/12.48 cnf(matrix-7897, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19523), hAPP(hAPP(c_List_Olist_OCons(_u19523), _u19525), _u19527)), _u19529)) | ( _u19525 = _u19529) | hBOOL(hAPP(hAPP(c_List_Omember(_u19523), _u19527), _u19529)) )).
% 12.21/12.48 cnf(matrix-7898, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19524), hAPP(hAPP(c_List_Olist_OCons(_u19524), _u19526), _u19528)), _u19530)) | ( _u19526 != _u19530) )).
% 12.21/12.48 cnf(matrix-7899, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19524), hAPP(hAPP(c_List_Olist_OCons(_u19524), _u19526), _u19528)), _u19530)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19524), _u19528), _u19530)) )).
% 12.21/12.48 cnf(matrix-7900, plain, ( ( c_List_Omember(_u19531) = c_List_Oset(_u19531)) )).
% 12.21/12.48 cnf(matrix-7901, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19532), c_List_Olist_ONil(_u19532)), _u19533)) )).
% 12.21/12.48 cnf(matrix-7902, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19537), _u19539), _u19541)) | hBOOL(hAPP(hAPP(c_member(_u19537), _u19541), hAPP(c_List_Oset(_u19537), _u19539))) )).
% 12.21/12.48 cnf(matrix-7903, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19538), _u19542), hAPP(c_List_Oset(_u19538), _u19540))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19538), _u19540), _u19542)) )).
% 12.21/12.48 cnf(matrix-7904, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u19543, _u19544, _u19545, _u19546, c_Nitpick_Opair__box_OPairBox(_u19543, _u19544, _u19547, _u19548)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19545, _u19547)), hAPP(_u19546, _u19548))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.48 cnf(matrix-7905, plain, ( ~c_List_Olist__ex1(_u19556, _u19558, _u19560) | hBOOL(hAPP(hAPP(c_member(_u19556), skolem505(_u19560, _u19558, _u19556)), hAPP(c_List_Oset(_u19556), _u19560))) )).
% 12.21/12.48 cnf(matrix-7906, plain, ( ~c_List_Olist__ex1(_u19556, _u19558, _u19560) | hBOOL(hAPP(_u19558, skolem505(_u19560, _u19558, _u19556))) )).
% 12.21/12.48 cnf(matrix-7907, plain, ( ~c_List_Olist__ex1(_u19556, _u19558, _u19560) | ~hBOOL(hAPP(hAPP(c_member(_u19556), _u19549), hAPP(c_List_Oset(_u19556), _u19560))) | ~hBOOL(hAPP(_u19558, _u19549)) | ( _u19549 = skolem505(_u19560, _u19558, _u19556)) )).
% 12.21/12.48 cnf(matrix-7908, plain, ( c_List_Olist__ex1(_u19557, _u19559, _u19561) | ~hBOOL(hAPP(hAPP(c_member(_u19557), _u19552), hAPP(c_List_Oset(_u19557), _u19561))) | ~hBOOL(hAPP(_u19559, _u19552)) | hBOOL(hAPP(hAPP(c_member(_u19557), skolem506(_u19561, _u19559, _u19557, _u19552)), hAPP(c_List_Oset(_u19557), _u19561))) )).
% 12.21/12.48 cnf(matrix-7909, plain, ( c_List_Olist__ex1(_u19557, _u19559, _u19561) | ~hBOOL(hAPP(hAPP(c_member(_u19557), _u19552), hAPP(c_List_Oset(_u19557), _u19561))) | ~hBOOL(hAPP(_u19559, _u19552)) | hBOOL(hAPP(_u19559, skolem506(_u19561, _u19559, _u19557, _u19552))) )).
% 12.21/12.48 cnf(matrix-7910, plain, ( c_List_Olist__ex1(_u19557, _u19559, _u19561) | ~hBOOL(hAPP(hAPP(c_member(_u19557), _u19552), hAPP(c_List_Oset(_u19557), _u19561))) | ~hBOOL(hAPP(_u19559, _u19552)) | ( skolem506(_u19561, _u19559, _u19557, _u19552) != _u19552) )).
% 12.21/12.48 cnf(matrix-7911, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u19562, _u19563)), c_Nitpick_Opair__box_OPairBox(_u19562, _u19563, _u19564, _u19565)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7912, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u19572, _u19574, _u19576, _u19578) != c_Nitpick_Opair__box_OPairBox(_u19572, _u19574, _u19580, _u19582)) | ( _u19576 = _u19580) )).
% 12.21/12.48 cnf(matrix-7913, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u19572, _u19574, _u19576, _u19578) != c_Nitpick_Opair__box_OPairBox(_u19572, _u19574, _u19580, _u19582)) | ( _u19578 = _u19582) )).
% 12.21/12.48 cnf(matrix-7914, plain, ( ( _u19577 != _u19581) | ( _u19579 != _u19583) | ( c_Nitpick_Opair__box_OPairBox(_u19573, _u19575, _u19577, _u19579) = c_Nitpick_Opair__box_OPairBox(_u19573, _u19575, _u19581, _u19583)) )).
% 12.21/12.48 cnf(matrix-7915, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u19584, _u19585, _u19586, _u19587, c_Nitpick_Opair__box_OPairBox(_u19584, _u19585, _u19588, _u19589)) = hAPP(hAPP(_u19587, _u19588), _u19589)) )).
% 12.21/12.48 cnf(matrix-7916, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u19590, _u19591, _u19592, _u19593, c_Nitpick_Opair__box_OPairBox(_u19590, _u19591, _u19594, _u19595)) = hAPP(hAPP(_u19593, _u19594), _u19595)) )).
% 12.21/12.48 cnf(matrix-7917, plain, ( ( c_FunDef_OTHE__default(_u19605, _u19607, _u19603) = c_HOL_OThe(_u19605, _u19603)) | ~hBOOL(hAPP(_u19603, _u19597)) | hBOOL(hAPP(_u19603, skolem507(_u19607, _u19605, _u19603, _u19597))) )).
% 12.21/12.48 cnf(matrix-7918, plain, ( ( c_FunDef_OTHE__default(_u19605, _u19607, _u19603) = c_HOL_OThe(_u19605, _u19603)) | ~hBOOL(hAPP(_u19603, _u19597)) | ( skolem507(_u19607, _u19605, _u19603, _u19597) != _u19597) )).
% 12.21/12.48 cnf(matrix-7919, plain, ( ( c_FunDef_OTHE__default(_u19606, _u19608, _u19604) = _u19608) | hBOOL(hAPP(_u19604, skolem508(_u19608, _u19606, _u19604))) )).
% 12.21/12.48 cnf(matrix-7920, plain, ( ( c_FunDef_OTHE__default(_u19606, _u19608, _u19604) = _u19608) | ~hBOOL(hAPP(_u19604, _u19598)) | ( _u19598 = skolem508(_u19608, _u19606, _u19604)) )).
% 12.21/12.48 cnf(matrix-7921, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem510(_u19616, _u19615, _u19614, _u19613)), _u19615)) )).
% 12.21/12.48 cnf(matrix-7922, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem511(_u19616, _u19615, _u19614, _u19613)), _u19615)) )).
% 12.21/12.48 cnf(matrix-7923, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | ( skolem510(_u19616, _u19615, _u19614, _u19613) != skolem511(_u19616, _u19615, _u19614, _u19613)) )).
% 12.21/12.48 cnf(matrix-7924, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(_u19614), skolem512(_u19616, _u19615, _u19614, _u19613)), skolem510(_u19616, _u19615, _u19614, _u19613))) )).
% 12.21/12.48 cnf(matrix-7925, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(_u19614), skolem512(_u19616, _u19615, _u19614, _u19613)), skolem511(_u19616, _u19615, _u19614, _u19613))) )).
% 12.21/12.48 cnf(matrix-7926, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem509(_u19616, _u19615, _u19614, _u19613)), _u19615)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | ( hAPP(_u19616, skolem512(_u19616, _u19615, _u19614, _u19613)) != c_Groups_Ozero__class_Ozero(_u19613)) )).
% 12.21/12.48 cnf(matrix-7927, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem510(_u19616, _u19615, _u19614, _u19613)), _u19615)) )).
% 12.21/12.48 cnf(matrix-7928, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19614, tc_HOL_Obool)), skolem511(_u19616, _u19615, _u19614, _u19613)), _u19615)) )).
% 12.21/12.48 cnf(matrix-7929, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | ( skolem510(_u19616, _u19615, _u19614, _u19613) != skolem511(_u19616, _u19615, _u19614, _u19613)) )).
% 12.21/12.48 cnf(matrix-7930, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(_u19614), skolem512(_u19616, _u19615, _u19614, _u19613)), skolem510(_u19616, _u19615, _u19614, _u19613))) )).
% 12.21/12.48 cnf(matrix-7931, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | hBOOL(hAPP(hAPP(c_member(_u19614), skolem512(_u19616, _u19615, _u19614, _u19613)), skolem511(_u19616, _u19615, _u19614, _u19613))) )).
% 12.21/12.48 cnf(matrix-7932, plain, ( ~class_Groups_Ocomm__monoid__add(_u19613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19614, tc_HOL_Obool)), _u19615)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19614), skolem509(_u19616, _u19615, _u19614, _u19613))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19614, tc_HOL_Obool), _u19615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19614, tc_HOL_Obool), _u19613), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19614, _u19613), _u19616)), _u19615)) | ( hAPP(_u19616, skolem512(_u19616, _u19615, _u19614, _u19613)) != c_Groups_Ozero__class_Ozero(_u19613)) )).
% 12.21/12.48 cnf(matrix-7933, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19618, tc_fun(_u19623, tc_fun(_u19624, tc_HOL_Obool))), _u19619), _u19620), _u19621), _u19622)) | hBOOL(hAPP(hAPP(c_member(_u19618), skolem513(_u19624, _u19623, _u19622, _u19621, _u19620, _u19619, _u19618)), _u19619)) )).
% 12.21/12.48 cnf(matrix-7934, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19618, tc_fun(_u19623, tc_fun(_u19624, tc_HOL_Obool))), _u19619), _u19620), _u19621), _u19622)) | ~hBOOL(hAPP(hAPP(hAPP(_u19620, skolem513(_u19624, _u19623, _u19622, _u19621, _u19620, _u19619, _u19618)), _u19621), _u19622)) )).
% 12.21/12.48 cnf(matrix-7935, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19626, tc_fun(_u19627, tc_fun(_u19628, tc_HOL_Obool))), _u19629), _u19630), _u19631), _u19632)) | hBOOL(hAPP(hAPP(c_member(_u19626), skolem514(_u19632, _u19631, _u19630, _u19629, _u19628, _u19627, _u19626)), _u19629)) )).
% 12.21/12.48 cnf(matrix-7936, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19626, tc_fun(_u19627, tc_fun(_u19628, tc_HOL_Obool))), _u19629), _u19630), _u19631), _u19632)) | hBOOL(hAPP(hAPP(hAPP(_u19630, skolem514(_u19632, _u19631, _u19630, _u19629, _u19628, _u19627, _u19626)), _u19631), _u19632)) )).
% 12.21/12.48 cnf(matrix-7937, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u19635)), _u19636)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19635)), _u19633), _u19636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19635)), _u19633)), skolem515(_u19636, _u19635))) )).
% 12.21/12.48 cnf(matrix-7938, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19637)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19637)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7939, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19638) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19638, _u19639, _u19640)) )).
% 12.21/12.48 cnf(matrix-7940, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19641, _u19642, _u19643) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19641)) )).
% 12.21/12.48 cnf(matrix-7941, plain, ( ( c_Lazy__Sequence_Oappend(_u19644, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19644), _u19645) = _u19645) )).
% 12.21/12.48 cnf(matrix-7942, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19646, _u19647, _u19648, _u19649, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19647)) = _u19648) )).
% 12.21/12.48 cnf(matrix-7943, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19650, _u19651), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19650)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-7944, plain, ( ~c_List_Olist__all(tc_Int_Oint, _u19655, c_List_Oupto(_u19657, _u19659)) | c_List_Oall__interval__int(_u19655, _u19657, _u19659) )).
% 12.21/12.48 cnf(matrix-7945, plain, ( ~c_List_Oall__interval__int(_u19656, _u19658, _u19660) | c_List_Olist__all(tc_Int_Oint, _u19656, c_List_Oupto(_u19658, _u19660)) )).
% 12.21/12.48 cnf(matrix-7946, plain, ( ~c_List_Olist__ex(tc_Int_Oint, _u19664, c_List_Oupto(_u19666, _u19668)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19664), _u19666, _u19668) )).
% 12.21/12.48 cnf(matrix-7947, plain, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19665), _u19667, _u19669) | c_List_Olist__ex(tc_Int_Oint, _u19665, c_List_Oupto(_u19667, _u19669)) )).
% 12.21/12.48 cnf(matrix-7948, plain, ( ~c_List_Oall__interval__int(_u19675, _u19677, _u19679) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u19670), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19677, _u19679))) | hBOOL(hAPP(_u19675, _u19670)) )).
% 12.21/12.48 cnf(matrix-7949, plain, ( c_List_Oall__interval__int(_u19676, _u19678, _u19680) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem516(_u19680, _u19678, _u19676)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19678, _u19680))) )).
% 12.21/12.48 cnf(matrix-7950, plain, ( c_List_Oall__interval__int(_u19676, _u19678, _u19680) | ~hBOOL(hAPP(_u19676, skolem516(_u19680, _u19678, _u19676))) )).
% 12.21/12.48 cnf(matrix-7951, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19681, _u19682, _u19683, c_Code__Numeral_OSuc__code__numeral(_u19684)) = hAPP(hAPP(_u19683, _u19684), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19681, _u19682, _u19683, _u19684))) )).
% 12.21/12.48 cnf(matrix-7952, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19689), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19691, _u19693, _u19689, _u19695) = 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(_u19691)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19691))) )).
% 12.21/12.48 cnf(matrix-7953, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19690), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19692, _u19694, _u19690, _u19696) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19692, 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(_u19692)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u19694, _u19696)), 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(_u19692)))), 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(_u19692)))), 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(_u19692)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u19692, 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(_u19692)))), 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(_u19692)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u19692, _u19694, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19690), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19696))), 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(_u19692)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692)))), 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(_u19692)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u19692, 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(_u19692)))), 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(_u19692)))), 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(_u19692))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692)))), 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(_u19692)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692))))), tc_prod(_u19692, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u19692)), hAPP(hAPP(c_COMBB(_u19692, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19692)))), tc_prod(_u19692, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u19692)), c_Product__Type_Ofst(_u19692, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.21/12.48 cnf(matrix-7954, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19697, _u19698, _u19699, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u19698) )).
% 12.21/12.48 cnf(matrix-7955, plain, ( ( c_Random__Sequence_Oempty(_u19700, _u19701, _u19702) = 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(_u19700)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19700))) )).
% 12.21/12.48 cnf(matrix-7956, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u19703), _u19704), _u19705), _u19706) = 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(_u19703)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u19703), _u19704))) )).
% 12.21/12.48 cnf(matrix-7957, plain, ( ( c_Random__Sequence_Omap(_u19707, _u19708, _u19709, _u19710) = c_Random__Sequence_Obind(_u19707, _u19708, _u19710, hAPP(c_Fun_Ocomp(_u19708, 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(_u19708)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u19707, c_Random__Sequence_Osingle(_u19708)), _u19709))) )).
% 12.21/12.48 cnf(matrix-7958, plain, ( ~hBOOL(hAPP(hAPP(_u19713, hAPP(c_Product__Type_Osnd(_u19714, _u19715), _u19716)), hAPP(c_Product__Type_Ofst(_u19714, _u19715), _u19716))) | hBOOL(hAPP(_u19717, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19714, _u19715, _u19719), _u19718), _u19716))) | hBOOL(hAPP(hAPP(_u19713, skolem518(_u19719, _u19718, _u19717, _u19716, _u19715, _u19714, _u19713)), skolem517(_u19719, _u19718, _u19717, _u19716, _u19715, _u19714, _u19713))) )).
% 12.21/12.48 cnf(matrix-7959, plain, ( ~hBOOL(hAPP(hAPP(_u19713, hAPP(c_Product__Type_Osnd(_u19714, _u19715), _u19716)), hAPP(c_Product__Type_Ofst(_u19714, _u19715), _u19716))) | hBOOL(hAPP(_u19717, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19714, _u19715, _u19719), _u19718), _u19716))) | ~hBOOL(hAPP(_u19717, hAPP(hAPP(_u19718, skolem517(_u19719, _u19718, _u19717, _u19716, _u19715, _u19714, _u19713)), skolem518(_u19719, _u19718, _u19717, _u19716, _u19715, _u19714, _u19713)))) )).
% 12.21/12.48 cnf(matrix-7960, plain, ( ( hAPP(c_Relation_OImage(_u19720, _u19721, hAPP(c_Set_OCollect(tc_prod(_u19720, _u19721)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19720, _u19721, tc_HOL_Obool), _u19722))), _u19723) = hAPP(c_Set_OCollect(_u19721), hAPP(hAPP(c_COMBB(tc_fun(_u19720, tc_HOL_Obool), tc_HOL_Obool, _u19721), c_HOL_OEx(_u19720)), hAPP(hAPP(c_COMBB(tc_fun(_u19720, tc_HOL_Obool), tc_fun(_u19720, tc_HOL_Obool), _u19721), hAPP(c_COMBS(_u19720, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19720), c_fconj), hAPP(hAPP(c_COMBC(_u19720, tc_fun(_u19720, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19720)), _u19723)))), hAPP(c_COMBC(_u19720, _u19721, tc_HOL_Obool), _u19722))))) )).
% 12.21/12.48 cnf(matrix-7961, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19724), tc_List_Olist(_u19724))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19724), tc_List_Olist(_u19724)), _u19725), _u19726)), c_List_Olexord(_u19724, _u19727))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19724), tc_List_Olist(_u19724))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19724), tc_List_Olist(_u19724)), _u19726), _u19728)), c_List_Olexord(_u19724, _u19727))) | ~c_Relation_Otrans(_u19724, _u19727) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19724), tc_List_Olist(_u19724))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19724), tc_List_Olist(_u19724)), _u19725), _u19728)), c_List_Olexord(_u19724, _u19727))) )).
% 12.21/12.48 cnf(matrix-7962, plain, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.21/12.48 cnf(matrix-7963, plain, ( ~c_Relation_Otrans(_u19729, _u19730) | ~c_Relation_Otrans(_u19731, _u19732) | c_Relation_Otrans(tc_prod(_u19729, _u19731), c_Wellfounded_Olex__prod(_u19729, _u19731, _u19730, _u19732)) )).
% 12.21/12.48 cnf(matrix-7964, plain, ( ~c_Relation_Otrans(_u19733, _u19734) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19735), _u19736)), _u19734)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19736), _u19737)), _u19734)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19735), _u19737)), _u19734)) )).
% 12.21/12.48 cnf(matrix-7965, plain, ( ~c_Relation_Otrans(_u19746, _u19748) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19746, _u19746)), hAPP(hAPP(c_Product__Type_OPair(_u19746, _u19746), _u19740), _u19739)), _u19748)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19746, _u19746)), hAPP(hAPP(c_Product__Type_OPair(_u19746, _u19746), _u19739), _u19738)), _u19748)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19746, _u19746)), hAPP(hAPP(c_Product__Type_OPair(_u19746, _u19746), _u19740), _u19738)), _u19748)) )).
% 12.21/12.48 cnf(matrix-7966, plain, ( c_Relation_Otrans(_u19747, _u19749) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19747, _u19747)), hAPP(hAPP(c_Product__Type_OPair(_u19747, _u19747), skolem519(_u19749, _u19747)), skolem520(_u19749, _u19747))), _u19749)) )).
% 12.21/12.48 cnf(matrix-7967, plain, ( c_Relation_Otrans(_u19747, _u19749) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19747, _u19747)), hAPP(hAPP(c_Product__Type_OPair(_u19747, _u19747), skolem520(_u19749, _u19747)), skolem521(_u19749, _u19747))), _u19749)) )).
% 12.21/12.48 cnf(matrix-7968, plain, ( c_Relation_Otrans(_u19747, _u19749) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19747, _u19747)), hAPP(hAPP(c_Product__Type_OPair(_u19747, _u19747), skolem519(_u19749, _u19747)), skolem521(_u19749, _u19747))), _u19749)) )).
% 12.21/12.48 cnf(matrix-7969, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19750, tc_HOL_Obool), _u19751) = hAPP(c_Set_OCollect(_u19750), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19750, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u19750), c_HOL_OEx(tc_fun(_u19750, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19750, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19750, tc_HOL_Obool), tc_HOL_Obool), _u19750), hAPP(c_COMBS(tc_fun(_u19750, 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(_u19750, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19750, tc_HOL_Obool), tc_fun(tc_fun(_u19750, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19750, tc_HOL_Obool))), _u19751)))), c_member(_u19750))))) )).
% 12.21/12.48 cnf(matrix-7970, plain, ( ~c_Relation_Otrans(_u19752, _u19753) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19752, _u19752), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19752, _u19752, _u19752), _u19753), _u19753)), _u19753)) )).
% 12.21/12.48 cnf(matrix-7971, plain, ( ~c_Relation_Otrans(_u19754, _u19755) | ~c_Relation_Otrans(_u19754, _u19756) | c_Relation_Otrans(_u19754, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19754, _u19754), tc_HOL_Obool)), _u19755), _u19756)) )).
% 12.21/12.48 cnf(matrix-7972, plain, ( c_Relation_Otrans(_u19757, c_Transitive__Closure_Ortrancl(_u19757, _u19758)) )).
% 12.21/12.48 cnf(matrix-7973, plain, ( c_Relation_Otrans(_u19759, c_Relation_OId(_u19759)) )).
% 12.21/12.48 cnf(matrix-7974, plain, ( c_Relation_Otrans(tc_fun(_u19760, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u19760)) )).
% 12.21/12.48 cnf(matrix-7975, plain, ( ~c_Relation_Otrans(_u19761, _u19762) | ( c_Transitive__Closure_Otrancl(_u19761, _u19762) = _u19762) )).
% 12.21/12.48 cnf(matrix-7976, plain, ( c_Relation_Otrans(_u19763, c_Transitive__Closure_Otrancl(_u19763, _u19764)) )).
% 12.21/12.48 cnf(matrix-7977, plain, ( c_Relation_Otrans(_u19765, c_Relation_OId__on(_u19765, _u19766)) )).
% 12.21/12.48 cnf(matrix-7978, plain, ( ~c_Relation_Otrans(_u19767, _u19768) | c_Relation_Otrans(tc_List_Olist(_u19767), c_List_Olexord(_u19767, _u19768)) )).
% 12.21/12.48 cnf(matrix-7979, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19770), _u19769), c_Orderings_Obot__class_Obot(tc_fun(_u19770, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19771, _u19769)) )).
% 12.21/12.48 cnf(matrix-7980, plain, ( ~c_Relation_Otrans(_u19772, _u19773) | c_Relation_Otrans(tc_List_Olist(_u19772), c_List_Olistrel(_u19772, _u19773)) )).
% 12.21/12.48 cnf(matrix-7981, plain, ( ~c_Relation_Otrans(_u19776, hAPP(c_Relation_Oconverse(_u19776, _u19776), _u19778)) | c_Relation_Otrans(_u19776, _u19778) )).
% 12.21/12.48 cnf(matrix-7982, plain, ( ~c_Relation_Otrans(_u19777, _u19779) | c_Relation_Otrans(_u19777, hAPP(c_Relation_Oconverse(_u19777, _u19777), _u19779)) )).
% 12.21/12.48 cnf(matrix-7983, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19782), _u19783)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool, _u19784), c_HOL_OEx(_u19782)), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(_u19782, tc_HOL_Obool), _u19784), hAPP(c_COMBS(_u19782, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19782), c_fconj), hAPP(hAPP(c_COMBC(_u19782, tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19782)), _u19783)))), _u19785))))) | ~hBOOL(hAPP(hAPP(c_member(_u19782), _u19780), _u19783)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBC(_u19784, _u19782, tc_HOL_Obool), _u19785), _u19780)))) )).
% 12.21/12.48 cnf(matrix-7984, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19782), _u19783)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool, _u19784), c_HOL_OEx(_u19782)), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(_u19782, tc_HOL_Obool), _u19784), hAPP(c_COMBS(_u19782, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19782), c_fconj), hAPP(hAPP(c_COMBC(_u19782, tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19782)), _u19783)))), _u19785))))) | hBOOL(hAPP(hAPP(c_member(_u19782), skolem522(_u19785, _u19784, _u19783, _u19782)), _u19783)) )).
% 12.21/12.48 cnf(matrix-7985, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19782), _u19783)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool, _u19784), c_HOL_OEx(_u19782)), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(_u19782, tc_HOL_Obool), _u19784), hAPP(c_COMBS(_u19782, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19782), c_fconj), hAPP(hAPP(c_COMBC(_u19782, tc_fun(_u19782, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19782)), _u19783)))), _u19785))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19784), hAPP(c_Set_OCollect(_u19784), hAPP(hAPP(c_COMBC(_u19784, _u19782, tc_HOL_Obool), _u19785), skolem522(_u19785, _u19784, _u19783, _u19782))))) )).
% 12.21/12.48 cnf(matrix-7986, plain, ( hBOOL(hAPP(_u19794, skolem523(_u19794))) | ~hBOOL(hAPP(hAPP(c_member(_u19792), _u19786), c_Orderings_Otop__class_Otop(tc_fun(_u19792, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19794, _u19786)) )).
% 12.21/12.48 cnf(matrix-7987, plain, ( ~hBOOL(hAPP(_u19795, _u19788)) | hBOOL(hAPP(hAPP(c_member(_u19793), skolem524(_u19795, _u19793)), c_Orderings_Otop__class_Otop(tc_fun(_u19793, tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-7988, plain, ( ~hBOOL(hAPP(_u19795, _u19788)) | hBOOL(hAPP(_u19795, skolem524(_u19795, _u19793))) )).
% 12.21/12.48 cnf(matrix-7989, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19796, tc_HOL_Obool) = c_Set_OBex(_u19796)) )).
% 12.21/12.48 cnf(matrix-7990, plain, ( ~c_Relation_Otrans(_u19797, _u19798) | c_Relation_Otrans(_u19797, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19797, _u19797), tc_HOL_Obool)), _u19798), c_Relation_OId(_u19797))) )).
% 12.21/12.48 cnf(matrix-7991, plain, ( ~c_Relation_Otrans(_u19799, _u19800) | c_Relation_Otrans(_u19801, hAPP(hAPP(c_Relation_Oinv__image(_u19799, _u19801), _u19800), _u19802)) )).
% 12.21/12.48 cnf(matrix-7992, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19808), _u19803), hAPP(c_List_Oset(_u19808), _u19810))) | ~hBOOL(hAPP(_u19812, _u19803)) | c_List_Olist__ex(_u19808, _u19812, _u19810) )).
% 12.21/12.48 cnf(matrix-7993, plain, ( ~c_List_Olist__ex(_u19809, _u19813, _u19811) | hBOOL(hAPP(hAPP(c_member(_u19809), skolem525(_u19813, _u19811, _u19809)), hAPP(c_List_Oset(_u19809), _u19811))) )).
% 12.21/12.48 cnf(matrix-7994, plain, ( ~c_List_Olist__ex(_u19809, _u19813, _u19811) | hBOOL(hAPP(_u19813, skolem525(_u19813, _u19811, _u19809))) )).
% 12.21/12.48 cnf(matrix-7995, plain, ( ~c_List_Olist__ex(_u19819, _u19821, _u19823) | hBOOL(hAPP(hAPP(c_member(_u19819), skolem526(_u19823, _u19821, _u19819)), hAPP(c_List_Oset(_u19819), _u19823))) )).
% 12.21/12.48 cnf(matrix-7996, plain, ( ~c_List_Olist__ex(_u19819, _u19821, _u19823) | hBOOL(hAPP(_u19821, skolem526(_u19823, _u19821, _u19819))) )).
% 12.21/12.48 cnf(matrix-7997, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19820), _u19815), hAPP(c_List_Oset(_u19820), _u19824))) | ~hBOOL(hAPP(_u19822, _u19815)) | c_List_Olist__ex(_u19820, _u19822, _u19824) )).
% 12.21/12.48 cnf(matrix-7998, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19825, tc_fun(_u19826, tc_HOL_Obool)), _u19827), _u19828) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19826, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19826, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19825, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19826, tc_HOL_Obool)), c_HOL_OEx(_u19825)), hAPP(hAPP(c_COMBB(tc_fun(_u19825, tc_HOL_Obool), tc_fun(_u19825, tc_HOL_Obool), tc_fun(_u19826, tc_HOL_Obool)), hAPP(c_COMBS(_u19825, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19825), c_fconj), hAPP(hAPP(c_COMBC(_u19825, tc_fun(_u19825, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19825)), _u19827)))), hAPP(hAPP(c_COMBC(tc_fun(_u19826, tc_HOL_Obool), tc_fun(_u19825, tc_fun(_u19826, tc_HOL_Obool)), tc_fun(_u19825, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19826, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19825, tc_fun(_u19826, tc_HOL_Obool)), tc_fun(_u19825, tc_HOL_Obool)), tc_fun(_u19826, tc_HOL_Obool)), c_COMBB(tc_fun(_u19826, tc_HOL_Obool), tc_HOL_Obool, _u19825)), c_fequal)), _u19828)))))) )).
% 12.21/12.48 cnf(matrix-7999, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19829, tc_fun(_u19830, tc_HOL_Obool)), _u19831), _u19832) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19830, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19830, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19829, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19830, tc_HOL_Obool)), c_HOL_OEx(_u19829)), hAPP(hAPP(c_COMBB(tc_fun(_u19829, tc_HOL_Obool), tc_fun(_u19829, tc_HOL_Obool), tc_fun(_u19830, tc_HOL_Obool)), hAPP(c_COMBS(_u19829, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19829), c_fconj), hAPP(hAPP(c_COMBC(_u19829, tc_fun(_u19829, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19829)), _u19831)))), hAPP(hAPP(c_COMBC(tc_fun(_u19830, tc_HOL_Obool), tc_fun(_u19829, tc_fun(_u19830, tc_HOL_Obool)), tc_fun(_u19829, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19830, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19829, tc_fun(_u19830, tc_HOL_Obool)), tc_fun(_u19829, tc_HOL_Obool)), tc_fun(_u19830, tc_HOL_Obool)), c_COMBB(tc_fun(_u19830, tc_HOL_Obool), tc_HOL_Obool, _u19829)), c_fequal)), _u19832)))))) )).
% 12.21/12.48 cnf(matrix-8000, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19833) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19834, _u19833), _u19835), _u19836) = c_Complete__Lattice_OSup__class_OSup(_u19833, hAPP(c_Set_OCollect(_u19833), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool), tc_HOL_Obool, _u19833), c_HOL_OEx(tc_fun(_u19834, _u19833))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool), tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool), _u19833), hAPP(c_COMBS(tc_fun(_u19834, _u19833), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19834, _u19833)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19834, _u19833), tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19834, _u19833))), _u19835)))), hAPP(hAPP(c_COMBC(_u19833, tc_fun(tc_fun(_u19834, _u19833), _u19833), tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19833, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19834, _u19833), _u19833), tc_fun(tc_fun(_u19834, _u19833), tc_HOL_Obool)), _u19833), c_COMBB(_u19833, tc_HOL_Obool, tc_fun(_u19834, _u19833))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19834, _u19833), _u19834, _u19833), c_COMBI(tc_fun(_u19834, _u19833))), _u19836))))))) )).
% 12.21/12.48 cnf(matrix-8001, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19837) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19838, _u19837), _u19839), _u19840) = c_Complete__Lattice_OSup__class_OSup(_u19837, hAPP(c_Set_OCollect(_u19837), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool), tc_HOL_Obool, _u19837), c_HOL_OEx(tc_fun(_u19838, _u19837))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool), tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool), _u19837), hAPP(c_COMBS(tc_fun(_u19838, _u19837), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19838, _u19837)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19838, _u19837), tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19838, _u19837))), _u19839)))), hAPP(hAPP(c_COMBC(_u19837, tc_fun(tc_fun(_u19838, _u19837), _u19837), tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19837, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19838, _u19837), _u19837), tc_fun(tc_fun(_u19838, _u19837), tc_HOL_Obool)), _u19837), c_COMBB(_u19837, tc_HOL_Obool, tc_fun(_u19838, _u19837))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19838, _u19837), _u19838, _u19837), c_COMBI(tc_fun(_u19838, _u19837))), _u19840))))))) )).
% 12.21/12.48 cnf(matrix-8002, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19841) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19842, _u19841), _u19843), _u19844) = c_Complete__Lattice_OInf__class_OInf(_u19841, hAPP(c_Set_OCollect(_u19841), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool), tc_HOL_Obool, _u19841), c_HOL_OEx(tc_fun(_u19842, _u19841))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool), tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool), _u19841), hAPP(c_COMBS(tc_fun(_u19842, _u19841), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19842, _u19841)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19842, _u19841), tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19842, _u19841))), _u19843)))), hAPP(hAPP(c_COMBC(_u19841, tc_fun(tc_fun(_u19842, _u19841), _u19841), tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19841, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19842, _u19841), _u19841), tc_fun(tc_fun(_u19842, _u19841), tc_HOL_Obool)), _u19841), c_COMBB(_u19841, tc_HOL_Obool, tc_fun(_u19842, _u19841))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19842, _u19841), _u19842, _u19841), c_COMBI(tc_fun(_u19842, _u19841))), _u19844))))))) )).
% 12.21/12.48 cnf(matrix-8003, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19845) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19846, _u19845), _u19847), _u19848) = c_Complete__Lattice_OInf__class_OInf(_u19845, hAPP(c_Set_OCollect(_u19845), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool), tc_HOL_Obool, _u19845), c_HOL_OEx(tc_fun(_u19846, _u19845))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool), tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool), _u19845), hAPP(c_COMBS(tc_fun(_u19846, _u19845), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19846, _u19845)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19846, _u19845), tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19846, _u19845))), _u19847)))), hAPP(hAPP(c_COMBC(_u19845, tc_fun(tc_fun(_u19846, _u19845), _u19845), tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19845, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19846, _u19845), _u19845), tc_fun(tc_fun(_u19846, _u19845), tc_HOL_Obool)), _u19845), c_COMBB(_u19845, tc_HOL_Obool, tc_fun(_u19846, _u19845))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19846, _u19845), _u19846, _u19845), c_COMBI(tc_fun(_u19846, _u19845))), _u19848))))))) )).
% 12.21/12.48 cnf(matrix-8004, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19851), _u19852)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19851), _u19853)) | ( _u19853 = c_Orderings_Obot__class_Obot(tc_fun(_u19851, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19851, _u19854, _u19852, _u19853) | hBOOL(hAPP(hAPP(c_member(_u19851), skolem527(_u19854, _u19853, _u19852, _u19851)), _u19852)) )).
% 12.21/12.48 cnf(matrix-8005, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19851), _u19852)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19851), _u19853)) | ( _u19853 = c_Orderings_Obot__class_Obot(tc_fun(_u19851, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19851, _u19854, _u19852, _u19853) | ~hBOOL(hAPP(hAPP(c_member(_u19851), _u19849), _u19853)) | ~hBOOL(hAPP(hAPP(_u19854, skolem527(_u19854, _u19853, _u19852, _u19851)), _u19849)) )).
% 12.21/12.48 cnf(matrix-8006, plain, ( ~c_Predicate_Otransp(_u19857, _u19859) | c_Relation_Otrans(_u19857, hAPP(c_Set_OCollect(tc_prod(_u19857, _u19857)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19857, _u19857, tc_HOL_Obool), _u19859))) )).
% 12.21/12.48 cnf(matrix-8007, plain, ( ~c_Relation_Otrans(_u19858, hAPP(c_Set_OCollect(tc_prod(_u19858, _u19858)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19858, _u19858, tc_HOL_Obool), _u19860))) | c_Predicate_Otransp(_u19858, _u19860) )).
% 12.21/12.48 cnf(matrix-8008, plain, ( ~hBOOL(hAPP(hAPP(_u19862, _u19863), _u19864)) | ~hBOOL(hAPP(hAPP(_u19862, _u19864), _u19865)) | hBOOL(hAPP(hAPP(_u19862, _u19863), _u19865)) | ~c_Predicate_Otransp(_u19861, _u19862) )).
% 12.21/12.48 cnf(matrix-8009, plain, ( ~c_Equiv__Relations_Oequivp(_u19866, _u19867) | c_Predicate_Oreflp(_u19866, _u19867) )).
% 12.21/12.48 cnf(matrix-8010, plain, ( ~c_Equiv__Relations_Oequivp(_u19866, _u19867) | c_Predicate_Osymp(_u19866, _u19867) )).
% 12.21/12.48 cnf(matrix-8011, plain, ( ~c_Equiv__Relations_Oequivp(_u19866, _u19867) | c_Predicate_Otransp(_u19866, _u19867) )).
% 12.21/12.48 cnf(matrix-8012, plain, ( ~c_Predicate_Oreflp(_u19868, _u19869) | ~c_Predicate_Osymp(_u19868, _u19869) | ~c_Predicate_Otransp(_u19868, _u19869) | c_Equiv__Relations_Oequivp(_u19868, _u19869) )).
% 12.21/12.48 cnf(matrix-8013, plain, ( ~hBOOL(hAPP(hAPP(_u19871, _u19872), _u19873)) | hBOOL(hAPP(hAPP(_u19871, _u19873), _u19872)) | ~c_Predicate_Osymp(_u19870, _u19871) )).
% 12.21/12.48 cnf(matrix-8014, plain, ( ~c_Equiv__Relations_Oequivp(_u19876, _u19878) | c_Predicate_Oreflp(_u19876, _u19878) )).
% 12.21/12.48 cnf(matrix-8015, plain, ( ~c_Equiv__Relations_Oequivp(_u19876, _u19878) | c_Predicate_Osymp(_u19876, _u19878) )).
% 12.21/12.48 cnf(matrix-8016, plain, ( ~c_Equiv__Relations_Oequivp(_u19876, _u19878) | c_Predicate_Otransp(_u19876, _u19878) )).
% 12.21/12.48 cnf(matrix-8017, plain, ( ~c_Predicate_Oreflp(_u19877, _u19879) | ~c_Predicate_Osymp(_u19877, _u19879) | ~c_Predicate_Otransp(_u19877, _u19879) | c_Equiv__Relations_Oequivp(_u19877, _u19879) )).
% 12.21/12.48 cnf(matrix-8018, plain, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19888), _u19892)) )).
% 12.21/12.48 cnf(matrix-8019, plain, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19888), _u19894)) )).
% 12.21/12.48 cnf(matrix-8020, plain, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | ( _u19894 != c_Orderings_Obot__class_Obot(tc_fun(_u19888, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8021, plain, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | ~hBOOL(hAPP(hAPP(c_member(_u19888), _u19881), _u19892)) | hBOOL(hAPP(hAPP(c_member(_u19888), skolem528(_u19894, _u19892, _u19890, _u19888, _u19881)), _u19894)) )).
% 12.21/12.48 cnf(matrix-8022, plain, ( ~c_Wellfounded_Omax__extp(_u19888, _u19890, _u19892, _u19894) | ~hBOOL(hAPP(hAPP(c_member(_u19888), _u19881), _u19892)) | hBOOL(hAPP(hAPP(_u19890, _u19881), skolem528(_u19894, _u19892, _u19890, _u19888, _u19881))) )).
% 12.21/12.48 cnf(matrix-8023, plain, ( c_Wellfounded_Omax__extp(_u19889, _u19891, _u19893, _u19895) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19889), _u19893)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19889), _u19895)) | ( _u19895 = c_Orderings_Obot__class_Obot(tc_fun(_u19889, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19889), skolem529(_u19895, _u19893, _u19891, _u19889)), _u19893)) )).
% 12.21/12.48 cnf(matrix-8024, plain, ( c_Wellfounded_Omax__extp(_u19889, _u19891, _u19893, _u19895) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19889), _u19893)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19889), _u19895)) | ( _u19895 = c_Orderings_Obot__class_Obot(tc_fun(_u19889, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19889), _u19882), _u19895)) | ~hBOOL(hAPP(hAPP(_u19891, skolem529(_u19895, _u19893, _u19891, _u19889)), _u19882)) )).
% 12.21/12.48 cnf(matrix-8025, plain, ( ~c_Relation_Otrans(_u19896, _u19897) | ~c_Relation_Oantisym(_u19896, _u19897) | c_Relation_Otrans(_u19896, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19896, _u19896), tc_HOL_Obool)), _u19897), c_Relation_OId(_u19896))) )).
% 12.21/12.48 cnf(matrix-8026, plain, ( ~c_Relation_Oantisym(_u19900, hAPP(c_Relation_Oconverse(_u19900, _u19900), _u19902)) | c_Relation_Oantisym(_u19900, _u19902) )).
% 12.21/12.48 cnf(matrix-8027, plain, ( ~c_Relation_Oantisym(_u19901, _u19903) | c_Relation_Oantisym(_u19901, hAPP(c_Relation_Oconverse(_u19901, _u19901), _u19903)) )).
% 12.21/12.48 cnf(matrix-8028, plain, ( c_Relation_Oantisym(_u19904, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19904, _u19904), tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8029, plain, ( c_Relation_Oantisym(_u19905, c_Relation_OId(_u19905)) )).
% 12.21/12.48 cnf(matrix-8030, plain, ( c_Relation_Oantisym(_u19906, c_Relation_OId__on(_u19906, _u19907)) )).
% 12.21/12.48 cnf(matrix-8031, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19908, _u19908), tc_HOL_Obool)), _u19909), _u19910)) | ~c_Relation_Oantisym(_u19908, _u19910) | c_Relation_Oantisym(_u19908, _u19909) )).
% 12.21/12.48 cnf(matrix-8032, plain, ( ~c_Relation_Oantisym(_u19917, _u19919) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19917, _u19917)), hAPP(hAPP(c_Product__Type_OPair(_u19917, _u19917), _u19912), _u19911)), _u19919)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19917, _u19917)), hAPP(hAPP(c_Product__Type_OPair(_u19917, _u19917), _u19911), _u19912)), _u19919)) | ( _u19912 = _u19911) )).
% 12.21/12.48 cnf(matrix-8033, plain, ( c_Relation_Oantisym(_u19918, _u19920) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19918, _u19918)), hAPP(hAPP(c_Product__Type_OPair(_u19918, _u19918), skolem530(_u19920, _u19918)), skolem531(_u19920, _u19918))), _u19920)) )).
% 12.21/12.48 cnf(matrix-8034, plain, ( c_Relation_Oantisym(_u19918, _u19920) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19918, _u19918)), hAPP(hAPP(c_Product__Type_OPair(_u19918, _u19918), skolem531(_u19920, _u19918)), skolem530(_u19920, _u19918))), _u19920)) )).
% 12.21/12.48 cnf(matrix-8035, plain, ( c_Relation_Oantisym(_u19918, _u19920) | ( skolem530(_u19920, _u19918) != skolem531(_u19920, _u19918)) )).
% 12.21/12.48 cnf(matrix-8036, plain, ( ~c_Relation_Oantisym(_u19921, _u19922) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19921, _u19921)), hAPP(hAPP(c_Product__Type_OPair(_u19921, _u19921), _u19923), _u19924)), _u19922)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19921, _u19921)), hAPP(hAPP(c_Product__Type_OPair(_u19921, _u19921), _u19924), _u19923)), _u19922)) | ( _u19923 = _u19924) )).
% 12.21/12.48 cnf(matrix-8037, plain, ( ~c_Relation_Oantisym(_u19927, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19927, _u19927), tc_HOL_Obool)), _u19929), c_Relation_OId(_u19927))) | c_Relation_Oantisym(_u19927, _u19929) )).
% 12.21/12.48 cnf(matrix-8038, plain, ( ~c_Relation_Oantisym(_u19928, _u19930) | c_Relation_Oantisym(_u19928, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19928, _u19928), tc_HOL_Obool)), _u19930), c_Relation_OId(_u19928))) )).
% 12.21/12.48 cnf(matrix-8039, plain, ( ~c_Wellfounded_Oacyclic(_u19931, _u19932) | c_Relation_Oantisym(_u19931, c_Transitive__Closure_Ortrancl(_u19931, _u19932)) )).
% 12.21/12.48 cnf(matrix-8040, plain, ( ( c_Partial__Function_Ofun__lub(_u19933, _u19934, _u19935, _u19936, _u19937, _u19938) = hAPP(_u19936, hAPP(c_Set_OCollect(_u19933), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool), tc_HOL_Obool, _u19933), c_HOL_OEx(tc_fun(_u19935, _u19933))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool), tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool), _u19933), hAPP(c_COMBS(tc_fun(_u19935, _u19933), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19935, _u19933)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19935, _u19933), tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19935, _u19933))), _u19937)))), hAPP(hAPP(c_COMBC(_u19933, tc_fun(tc_fun(_u19935, _u19933), _u19933), tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19933, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19935, _u19933), _u19933), tc_fun(tc_fun(_u19935, _u19933), tc_HOL_Obool)), _u19933), c_COMBB(_u19933, tc_HOL_Obool, tc_fun(_u19935, _u19933))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19935, _u19933), _u19935, _u19933), c_COMBI(tc_fun(_u19935, _u19933))), _u19938))))))) )).
% 12.21/12.48 cnf(matrix-8041, plain, ( ~c_Relation_Osym(_u19939, _u19940) | ~c_Relation_Otrans(_u19939, _u19940) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19939, _u19939), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19939, _u19939, _u19939), hAPP(c_Relation_Oconverse(_u19939, _u19939), _u19940)), _u19940)), _u19940)) )).
% 12.21/12.48 cnf(matrix-8042, plain, ( ~c_Relation_Osym(_u19941, _u19942) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19941, _u19941)), hAPP(hAPP(c_Product__Type_OPair(_u19941, _u19941), _u19943), _u19944)), _u19942)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19941, _u19941)), hAPP(hAPP(c_Product__Type_OPair(_u19941, _u19941), _u19944), _u19943)), _u19942)) )).
% 12.21/12.48 cnf(matrix-8043, plain, ( ~c_Relation_Osym(_u19951, _u19953) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19951, _u19951)), hAPP(hAPP(c_Product__Type_OPair(_u19951, _u19951), _u19946), _u19945)), _u19953)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19951, _u19951)), hAPP(hAPP(c_Product__Type_OPair(_u19951, _u19951), _u19945), _u19946)), _u19953)) )).
% 12.21/12.48 cnf(matrix-8044, plain, ( c_Relation_Osym(_u19952, _u19954) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19952, _u19952)), hAPP(hAPP(c_Product__Type_OPair(_u19952, _u19952), skolem532(_u19954, _u19952)), skolem533(_u19954, _u19952))), _u19954)) )).
% 12.21/12.48 cnf(matrix-8045, plain, ( c_Relation_Osym(_u19952, _u19954) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19952, _u19952)), hAPP(hAPP(c_Product__Type_OPair(_u19952, _u19952), skolem533(_u19954, _u19952)), skolem532(_u19954, _u19952))), _u19954)) )).
% 12.21/12.48 cnf(matrix-8046, plain, ( ~c_Relation_Osym(_u19955, _u19956) | ~c_Relation_Osym(_u19955, _u19957) | c_Relation_Osym(_u19955, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19955, _u19955), tc_HOL_Obool)), _u19956), _u19957)) )).
% 12.21/12.48 cnf(matrix-8047, plain, ( ~c_Relation_Osym(_u19958, _u19959) | c_Relation_Osym(_u19958, c_Transitive__Closure_Ortrancl(_u19958, _u19959)) )).
% 12.21/12.48 cnf(matrix-8048, plain, ( c_Relation_Osym(_u19960, c_Relation_OId(_u19960)) )).
% 12.21/12.48 cnf(matrix-8049, plain, ( ~c_Relation_Osym(_u19961, _u19962) | ~c_Relation_Osym(_u19961, _u19963) | c_Relation_Osym(_u19961, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19961, _u19961), tc_HOL_Obool)), _u19962), _u19963)) )).
% 12.21/12.48 cnf(matrix-8050, plain, ( ~c_Relation_Osym(_u19964, _u19965) | c_Relation_Osym(_u19964, c_Transitive__Closure_Otrancl(_u19964, _u19965)) )).
% 12.21/12.48 cnf(matrix-8051, plain, ( c_Relation_Osym(_u19966, c_Relation_OId__on(_u19966, _u19967)) )).
% 12.21/12.48 cnf(matrix-8052, plain, ( ~c_Relation_Osym(_u19968, _u19969) | c_Relation_Osym(tc_List_Olist(_u19968), c_List_Olistrel(_u19968, _u19969)) )).
% 12.21/12.48 cnf(matrix-8053, plain, ( ~c_Relation_Osym(_u19972, _u19974) | ( hAPP(c_Relation_Oconverse(_u19972, _u19972), _u19974) = _u19974) )).
% 12.21/12.48 cnf(matrix-8054, plain, ( ( hAPP(c_Relation_Oconverse(_u19973, _u19973), _u19975) != _u19975) | c_Relation_Osym(_u19973, _u19975) )).
% 12.21/12.48 cnf(matrix-8055, plain, ( ~c_Relation_Osym(_u19978, hAPP(c_Relation_Oconverse(_u19978, _u19978), _u19980)) | c_Relation_Osym(_u19978, _u19980) )).
% 12.21/12.48 cnf(matrix-8056, plain, ( ~c_Relation_Osym(_u19979, _u19981) | c_Relation_Osym(_u19979, hAPP(c_Relation_Oconverse(_u19979, _u19979), _u19981)) )).
% 12.21/12.48 cnf(matrix-8057, plain, ( c_Relation_Osym(_u19982, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19982, _u19982), tc_HOL_Obool)), _u19983), hAPP(c_Relation_Oconverse(_u19982, _u19982), _u19983))) )).
% 12.21/12.48 cnf(matrix-8058, plain, ( ~c_Relation_Osym(_u19984, _u19985) | c_Relation_Osym(_u19986, hAPP(hAPP(c_Relation_Oinv__image(_u19984, _u19986), _u19985), _u19987)) )).
% 12.21/12.48 cnf(matrix-8059, plain, ( c_Relation_Osym(_u19988, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19988, _u19988), tc_HOL_Obool)), _u19989), hAPP(c_Relation_Oconverse(_u19988, _u19988), _u19989))) )).
% 12.21/12.48 cnf(matrix-8060, plain, ( ~c_Equiv__Relations_Oequiv(_u19993, _u19995, _u19997) | c_Relation_Orefl__on(_u19993, _u19995, _u19997) )).
% 12.21/12.48 cnf(matrix-8061, plain, ( ~c_Equiv__Relations_Oequiv(_u19993, _u19995, _u19997) | c_Relation_Osym(_u19993, _u19997) )).
% 12.21/12.48 cnf(matrix-8062, plain, ( ~c_Equiv__Relations_Oequiv(_u19993, _u19995, _u19997) | c_Relation_Otrans(_u19993, _u19997) )).
% 12.21/12.48 cnf(matrix-8063, plain, ( ~c_Relation_Orefl__on(_u19994, _u19996, _u19998) | ~c_Relation_Osym(_u19994, _u19998) | ~c_Relation_Otrans(_u19994, _u19998) | c_Equiv__Relations_Oequiv(_u19994, _u19996, _u19998) )).
% 12.21/12.48 cnf(matrix-8064, plain, ( ~c_Relation_Orefl__on(_u19999, _u20000, _u20001) | ~c_Relation_Osym(_u19999, _u20001) | ~c_Relation_Otrans(_u19999, _u20001) | c_Equiv__Relations_Oequiv(_u19999, _u20000, _u20001) )).
% 12.21/12.48 cnf(matrix-8065, plain, ( ~c_Equiv__Relations_Oequiv(_u20002, _u20003, _u20004) | c_Relation_Orefl__on(_u20002, _u20003, _u20004) )).
% 12.21/12.48 cnf(matrix-8066, plain, ( ~c_Equiv__Relations_Oequiv(_u20002, _u20003, _u20004) | c_Relation_Osym(_u20002, _u20004) )).
% 12.21/12.48 cnf(matrix-8067, plain, ( ~c_Equiv__Relations_Oequiv(_u20002, _u20003, _u20004) | c_Relation_Otrans(_u20002, _u20004) )).
% 12.21/12.48 cnf(matrix-8068, plain, ( ~c_Predicate_Osymp(_u20007, _u20009) | c_Relation_Osym(_u20007, hAPP(c_Set_OCollect(tc_prod(_u20007, _u20007)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20007, _u20007, tc_HOL_Obool), _u20009))) )).
% 12.21/12.48 cnf(matrix-8069, plain, ( ~c_Relation_Osym(_u20008, hAPP(c_Set_OCollect(tc_prod(_u20008, _u20008)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20008, _u20008, tc_HOL_Obool), _u20010))) | c_Predicate_Osymp(_u20008, _u20010) )).
% 12.21/12.48 cnf(matrix-8070, plain, ( ~hBOOL(hAPP(hAPP(_u20012, _u20011), _u20011)) | ~c_Predicate_Osymp(_u20013, _u20012) | ~c_Predicate_Otransp(_u20013, _u20012) | c_Equiv__Relations_Opart__equivp(_u20013, _u20012) )).
% 12.21/12.48 cnf(matrix-8071, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20018, _u20020) | hBOOL(hAPP(hAPP(_u20020, skolem534(_u20020, _u20018)), skolem534(_u20020, _u20018))) )).
% 12.21/12.48 cnf(matrix-8072, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20018, _u20020) | c_Predicate_Osymp(_u20018, _u20020) )).
% 12.21/12.48 cnf(matrix-8073, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20018, _u20020) | c_Predicate_Otransp(_u20018, _u20020) )).
% 12.21/12.48 cnf(matrix-8074, plain, ( ~hBOOL(hAPP(hAPP(_u20021, _u20015), _u20015)) | ~c_Predicate_Osymp(_u20019, _u20021) | ~c_Predicate_Otransp(_u20019, _u20021) | c_Equiv__Relations_Opart__equivp(_u20019, _u20021) )).
% 12.21/12.48 cnf(matrix-8075, plain, ( ~c_Equiv__Relations_Oequivp(_u20022, _u20023) | c_Equiv__Relations_Opart__equivp(_u20022, _u20023) )).
% 12.21/12.48 cnf(matrix-8076, plain, ( ~hBOOL(hAPP(hAPP(_u20025, _u20026), _u20027)) | ~hBOOL(hAPP(hAPP(_u20025, _u20027), _u20028)) | hBOOL(hAPP(hAPP(_u20025, _u20026), _u20028)) | ~c_Equiv__Relations_Opart__equivp(_u20024, _u20025) )).
% 12.21/12.48 cnf(matrix-8077, plain, ( ~hBOOL(hAPP(hAPP(_u20030, _u20031), _u20032)) | hBOOL(hAPP(hAPP(_u20030, _u20032), _u20031)) | ~c_Equiv__Relations_Opart__equivp(_u20029, _u20030) )).
% 12.21/12.48 cnf(matrix-8078, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | hBOOL(hAPP(hAPP(_u20051, skolem535(_u20051)), skolem535(_u20051))) )).
% 12.21/12.48 cnf(matrix-8079, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | ~hBOOL(hAPP(hAPP(_u20051, _u20043), _u20041)) | hBOOL(hAPP(hAPP(_u20051, _u20043), _u20043)) )).
% 12.21/12.48 cnf(matrix-8080, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | ~hBOOL(hAPP(hAPP(_u20051, _u20043), _u20041)) | hBOOL(hAPP(hAPP(_u20051, _u20041), _u20041)) )).
% 12.21/12.48 cnf(matrix-8081, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | ~hBOOL(hAPP(hAPP(_u20051, _u20043), _u20041)) | ( hAPP(_u20051, _u20043) = hAPP(_u20051, _u20041)) )).
% 12.21/12.48 cnf(matrix-8082, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20049, _u20051) | ~hBOOL(hAPP(hAPP(_u20051, _u20044), _u20044)) | ~hBOOL(hAPP(hAPP(_u20051, _u20042), _u20042)) | ( hAPP(_u20051, _u20044) != hAPP(_u20051, _u20042)) | hBOOL(hAPP(hAPP(_u20051, _u20044), _u20042)) )).
% 12.21/12.48 cnf(matrix-8083, plain, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem537(_u20052))) | hBOOL(hAPP(hAPP(_u20052, skolem538(_u20052)), skolem538(_u20052))) )).
% 12.21/12.48 cnf(matrix-8084, plain, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem537(_u20052))) | hBOOL(hAPP(hAPP(_u20052, skolem539(_u20052)), skolem539(_u20052))) )).
% 12.21/12.48 cnf(matrix-8085, plain, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem538(_u20052)) = hAPP(_u20052, skolem539(_u20052))) )).
% 12.21/12.48 cnf(matrix-8086, plain, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem537(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem538(_u20052)), skolem539(_u20052))) )).
% 12.21/12.48 cnf(matrix-8087, plain, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | ~hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem536(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem537(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem536(_u20052)) != hAPP(_u20052, skolem537(_u20052))) | hBOOL(hAPP(hAPP(_u20052, skolem538(_u20052)), skolem538(_u20052))) )).
% 12.21/12.48 cnf(matrix-8088, plain, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | ~hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem536(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem537(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem536(_u20052)) != hAPP(_u20052, skolem537(_u20052))) | hBOOL(hAPP(hAPP(_u20052, skolem539(_u20052)), skolem539(_u20052))) )).
% 12.21/12.48 cnf(matrix-8089, plain, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | ~hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem536(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem537(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem536(_u20052)) != hAPP(_u20052, skolem537(_u20052))) | ( hAPP(_u20052, skolem538(_u20052)) = hAPP(_u20052, skolem539(_u20052))) )).
% 12.21/12.48 cnf(matrix-8090, plain, ( c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20036), _u20036)) | ~hBOOL(hAPP(hAPP(_u20052, skolem536(_u20052)), skolem536(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem537(_u20052)), skolem537(_u20052))) | ( hAPP(_u20052, skolem536(_u20052)) != hAPP(_u20052, skolem537(_u20052))) | ~hBOOL(hAPP(hAPP(_u20052, skolem538(_u20052)), skolem539(_u20052))) )).
% 12.21/12.48 cnf(matrix-8091, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20054, _u20055) | hBOOL(hAPP(hAPP(_u20055, skolem540(_u20055, _u20054)), skolem540(_u20055, _u20054))) )).
% 12.21/12.48 cnf(matrix-8092, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20054, _u20055) | c_Predicate_Osymp(_u20054, _u20055) )).
% 12.21/12.48 cnf(matrix-8093, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20054, _u20055) | c_Predicate_Otransp(_u20054, _u20055) )).
% 12.21/12.48 cnf(matrix-8094, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20057, _u20058) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20057, tc_HOL_Obool)), skolem541(_u20058, _u20057)), hAPP(hAPP(c_COMBB(tc_fun(_u20057, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20057, tc_HOL_Obool)), c_HOL_OEx(_u20057)), hAPP(hAPP(c_COMBB(tc_fun(_u20057, tc_HOL_Obool), tc_fun(_u20057, tc_HOL_Obool), tc_fun(_u20057, tc_HOL_Obool)), hAPP(c_COMBS(_u20057, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20057), c_fconj), hAPP(hAPP(c_COMBS(_u20057, _u20057, tc_HOL_Obool), _u20058), c_COMBI(_u20057))))), hAPP(hAPP(c_COMBC(tc_fun(_u20057, tc_HOL_Obool), tc_fun(_u20057, tc_fun(_u20057, tc_HOL_Obool)), tc_fun(_u20057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20057, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20057, tc_fun(_u20057, tc_HOL_Obool)), tc_fun(_u20057, tc_HOL_Obool)), tc_fun(_u20057, tc_HOL_Obool)), c_COMBB(tc_fun(_u20057, tc_HOL_Obool), tc_HOL_Obool, _u20057)), c_fequal)), _u20058))))) )).
% 12.21/12.48 cnf(matrix-8095, plain, ( ~c_Fun_Oinj__on(_u20062, _u20064, _u20066, c_Orderings_Otop__class_Otop(tc_fun(_u20062, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20064, _u20062, _u20062, c_Hilbert__Choice_Oinv__into(_u20062, _u20064, c_Orderings_Otop__class_Otop(tc_fun(_u20062, tc_HOL_Obool)), _u20066)), _u20066) = c_Fun_Oid(_u20062)) )).
% 12.21/12.48 cnf(matrix-8096, plain, ( ( hAPP(c_Fun_Ocomp(_u20065, _u20063, _u20063, c_Hilbert__Choice_Oinv__into(_u20063, _u20065, c_Orderings_Otop__class_Otop(tc_fun(_u20063, tc_HOL_Obool)), _u20067)), _u20067) != c_Fun_Oid(_u20063)) | c_Fun_Oinj__on(_u20063, _u20065, _u20067, c_Orderings_Otop__class_Otop(tc_fun(_u20063, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8097, plain, ( ~c_Fun_Oinj__on(_u20068, _u20069, _u20070, c_Orderings_Otop__class_Otop(tc_fun(_u20068, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20069, _u20068, _u20068, c_Hilbert__Choice_Oinv__into(_u20068, _u20069, c_Orderings_Otop__class_Otop(tc_fun(_u20068, tc_HOL_Obool)), _u20070)), _u20070) = c_Fun_Oid(_u20068)) )).
% 12.21/12.48 cnf(matrix-8098, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20071, _u20072, c_Orderings_Otop__class_Otop(tc_fun(_u20071, tc_HOL_Obool)), _u20073), _u20074) = c_Hilbert__Choice_OEps(_u20071, hAPP(hAPP(c_COMBC(_u20071, _u20072, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20072, tc_fun(_u20072, tc_HOL_Obool), _u20071), c_fequal), _u20073)), _u20074))) )).
% 12.21/12.48 cnf(matrix-8099, plain, ( ( c_Hilbert__Choice_Oinv__into(_u20075, _u20075, c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool)), c_Fun_Oid(_u20075)) = c_Fun_Oid(_u20075)) )).
% 12.21/12.48 cnf(matrix-8100, plain, ( ~c_Fun_Oinj__on(_u20076, _u20077, _u20078, c_Orderings_Otop__class_Otop(tc_fun(_u20076, tc_HOL_Obool))) | ( hAPP(_u20078, _u20079) != _u20080) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20076, _u20077, c_Orderings_Otop__class_Otop(tc_fun(_u20076, tc_HOL_Obool)), _u20078), _u20080) = _u20079) )).
% 12.21/12.48 cnf(matrix-8101, plain, ( ~c_Fun_Oinj__on(_u20081, _u20082, _u20083, c_Orderings_Otop__class_Otop(tc_fun(_u20081, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20081, _u20082, c_Orderings_Otop__class_Otop(tc_fun(_u20081, tc_HOL_Obool)), _u20083), hAPP(_u20083, _u20084)) = _u20084) )).
% 12.21/12.48 cnf(matrix-8102, plain, ( ~c_Fun_Oinj__on(_u20085, _u20086, _u20087, _u20088) | ~hBOOL(hAPP(hAPP(c_member(_u20085), _u20089), _u20088)) | ( hAPP(_u20087, _u20089) != _u20090) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20085, _u20086, _u20088, _u20087), _u20090) = _u20089) )).
% 12.21/12.48 cnf(matrix-8103, plain, ( ~c_Fun_Oinj__on(_u20091, _u20092, _u20093, _u20094) | ~hBOOL(hAPP(hAPP(c_member(_u20091), _u20095), _u20094)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20091, _u20092, _u20094, _u20093), hAPP(_u20093, _u20095)) = _u20095) )).
% 12.21/12.48 cnf(matrix-8104, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20096), _u20097), hAPP(c_Set_Oimage(_u20098, _u20096, _u20099), _u20100))) | ( hAPP(_u20099, hAPP(c_Hilbert__Choice_Oinv__into(_u20098, _u20096, _u20100, _u20099), _u20097)) = _u20097) )).
% 12.21/12.48 cnf(matrix-8105, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20101), _u20102), hAPP(c_Set_Oimage(_u20103, _u20101, _u20104), _u20105))) | hBOOL(hAPP(hAPP(c_member(_u20103), hAPP(c_Hilbert__Choice_Oinv__into(_u20103, _u20101, _u20105, _u20104), _u20102)), _u20105)) )).
% 12.21/12.48 cnf(matrix-8106, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20106, _u20107, _u20108, _u20109), _u20110) != hAPP(c_Hilbert__Choice_Oinv__into(_u20106, _u20107, _u20108, _u20109), _u20111)) | ~hBOOL(hAPP(hAPP(c_member(_u20107), _u20110), hAPP(c_Set_Oimage(_u20106, _u20107, _u20109), _u20108))) | ~hBOOL(hAPP(hAPP(c_member(_u20107), _u20111), hAPP(c_Set_Oimage(_u20106, _u20107, _u20109), _u20108))) | ( _u20110 = _u20111) )).
% 12.21/12.48 cnf(matrix-8107, plain, ( ( hAPP(c_Set_Oimage(_u20112, _u20113, _u20114), c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20113, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20112, _u20113, _u20114), hAPP(c_Set_Oimage(_u20113, _u20112, c_Hilbert__Choice_Oinv__into(_u20112, _u20113, c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool)), _u20114)), _u20115)) = _u20115) )).
% 12.21/12.48 cnf(matrix-8108, plain, ( ( hAPP(c_Set_Oimage(_u20116, _u20117, _u20118), c_Orderings_Otop__class_Otop(tc_fun(_u20116, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20117, tc_HOL_Obool))) | ( hAPP(_u20118, hAPP(c_Hilbert__Choice_Oinv__into(_u20116, _u20117, c_Orderings_Otop__class_Otop(tc_fun(_u20116, tc_HOL_Obool)), _u20118), _u20119)) = _u20119) )).
% 12.21/12.48 cnf(matrix-8109, plain, ( ( hAPP(c_Set_Oimage(_u20125, _u20127, _u20129), c_Orderings_Otop__class_Otop(tc_fun(_u20125, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20127, tc_HOL_Obool))) | ( hAPP(_u20129, hAPP(c_Hilbert__Choice_Oinv__into(_u20125, _u20127, c_Orderings_Otop__class_Otop(tc_fun(_u20125, tc_HOL_Obool)), _u20129), _u20120)) = _u20120) )).
% 12.21/12.48 cnf(matrix-8110, plain, ( ( hAPP(_u20130, hAPP(c_Hilbert__Choice_Oinv__into(_u20126, _u20128, c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool)), _u20130), skolem542(_u20130, _u20128, _u20126))) != skolem542(_u20130, _u20128, _u20126)) | ( hAPP(c_Set_Oimage(_u20126, _u20128, _u20130), c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20128, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8111, plain, ( ( hAPP(c_Set_Oimage(_u20131, _u20132, _u20133), _u20134) != _u20135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20132, tc_HOL_Obool)), _u20136), _u20135)) | ( hAPP(c_Set_Oimage(_u20131, _u20132, _u20133), hAPP(c_Set_Oimage(_u20132, _u20131, c_Hilbert__Choice_Oinv__into(_u20131, _u20132, _u20134, _u20133)), _u20136)) = _u20136) )).
% 12.21/12.48 cnf(matrix-8112, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20137, _u20138, _u20139, _u20140), _u20141) = c_Hilbert__Choice_OEps(_u20137, hAPP(hAPP(c_COMBS(_u20137, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20137), c_fconj), hAPP(hAPP(c_COMBC(_u20137, tc_fun(_u20137, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20137)), _u20139))), hAPP(hAPP(c_COMBC(_u20137, _u20138, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20138, tc_fun(_u20138, tc_HOL_Obool), _u20137), c_fequal), _u20140)), _u20141)))) )).
% 12.21/12.48 cnf(matrix-8113, plain, ( ~c_Fun_Oinj__on(_u20142, _u20143, _u20144, c_Orderings_Otop__class_Otop(tc_fun(_u20142, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20143, _u20145, _u20142, hAPP(c_Fun_Ocomp(_u20142, _u20145, _u20143, _u20146), c_Hilbert__Choice_Oinv__into(_u20142, _u20143, c_Orderings_Otop__class_Otop(tc_fun(_u20142, tc_HOL_Obool)), _u20144))), _u20144) = _u20146) )).
% 12.21/12.48 cnf(matrix-8114, plain, ( ~c_Fun_Oinj__on(_u20147, _u20148, _u20149, c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20148, _u20147, c_Hilbert__Choice_Oinv__into(_u20147, _u20148, c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool)), _u20149)), c_Orderings_Otop__class_Otop(tc_fun(_u20148, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8115, plain, ( ~c_Fun_Oinj__on(_u20150, _u20151, _u20152, c_Orderings_Otop__class_Otop(tc_fun(_u20150, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20151, _u20150, c_Hilbert__Choice_Oinv__into(_u20150, _u20151, c_Orderings_Otop__class_Otop(tc_fun(_u20150, tc_HOL_Obool)), _u20152)), hAPP(c_Set_Oimage(_u20150, _u20151, _u20152), _u20153)) = _u20153) )).
% 12.21/12.48 cnf(matrix-8116, plain, ( ~c_Fun_Oinj__on(_u20154, _u20155, _u20156, c_Orderings_Otop__class_Otop(tc_fun(_u20154, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20155, _u20154, c_Hilbert__Choice_Oinv__into(_u20154, _u20155, c_Orderings_Otop__class_Otop(tc_fun(_u20154, tc_HOL_Obool)), _u20156)), hAPP(c_Set_Oimage(_u20154, _u20155, _u20156), _u20157)) = _u20157) )).
% 12.21/12.48 cnf(matrix-8117, plain, ( ( hAPP(c_Set_Oimage(_u20158, _u20159, _u20160), c_Orderings_Otop__class_Otop(tc_fun(_u20158, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20159, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20159, _u20158, c_Hilbert__Choice_Oinv__into(_u20158, _u20159, c_Orderings_Otop__class_Otop(tc_fun(_u20158, tc_HOL_Obool)), _u20160), c_Orderings_Otop__class_Otop(tc_fun(_u20159, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8118, plain, ( ~c_Fun_Oinj__on(_u20161, _u20162, _u20163, _u20164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20161, tc_HOL_Obool)), _u20165), _u20164)) | ( hAPP(c_Set_Oimage(_u20162, _u20161, c_Hilbert__Choice_Oinv__into(_u20161, _u20162, _u20164, _u20163)), hAPP(c_Set_Oimage(_u20161, _u20162, _u20163), _u20165)) = _u20165) )).
% 12.21/12.48 cnf(matrix-8119, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20166, tc_HOL_Obool)), _u20167), hAPP(c_Set_Oimage(_u20168, _u20166, _u20169), _u20170))) | c_Fun_Oinj__on(_u20166, _u20168, c_Hilbert__Choice_Oinv__into(_u20168, _u20166, _u20170, _u20169), _u20167) )).
% 12.21/12.48 cnf(matrix-8120, plain, ( ~c_Fun_Oinj__on(_u20171, _u20172, _u20173, hAPP(c_Set_Oimage(_u20174, _u20171, _u20175), _u20176)) | ~c_Fun_Oinj__on(_u20174, _u20171, _u20175, _u20176) | ~hBOOL(hAPP(hAPP(c_member(_u20172), _u20177), hAPP(c_Set_Oimage(_u20171, _u20172, _u20173), hAPP(c_Set_Oimage(_u20174, _u20171, _u20175), _u20176)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20174, _u20172, _u20176, hAPP(c_Fun_Ocomp(_u20171, _u20172, _u20174, _u20173), _u20175)), _u20177) = hAPP(hAPP(c_Fun_Ocomp(_u20171, _u20174, _u20172, c_Hilbert__Choice_Oinv__into(_u20174, _u20171, _u20176, _u20175)), c_Hilbert__Choice_Oinv__into(_u20171, _u20172, hAPP(c_Set_Oimage(_u20174, _u20171, _u20175), _u20176), _u20173)), _u20177)) )).
% 12.21/12.48 cnf(matrix-8121, plain, ( ( hAPP(c_Set_Oimage(_u20181, _u20183, _u20185), c_Orderings_Otop__class_Otop(tc_fun(_u20181, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20183, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20181, _u20183, _u20183, _u20185), c_Hilbert__Choice_Oinv__into(_u20181, _u20183, c_Orderings_Otop__class_Otop(tc_fun(_u20181, tc_HOL_Obool)), _u20185)) = c_Fun_Oid(_u20183)) )).
% 12.21/12.48 cnf(matrix-8122, plain, ( ( hAPP(c_Fun_Ocomp(_u20182, _u20184, _u20184, _u20186), c_Hilbert__Choice_Oinv__into(_u20182, _u20184, c_Orderings_Otop__class_Otop(tc_fun(_u20182, tc_HOL_Obool)), _u20186)) != c_Fun_Oid(_u20184)) | ( hAPP(c_Set_Oimage(_u20182, _u20184, _u20186), c_Orderings_Otop__class_Otop(tc_fun(_u20182, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20184, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8123, plain, ( ~c_Fun_Oinj__on(_u20188, _u20189, _u20190, c_Orderings_Otop__class_Otop(tc_fun(_u20188, tc_HOL_Obool))) | hBOOL(hAPP(_u20191, _u20192)) | hBOOL(hAPP(hAPP(c_member(_u20189), skolem543(_u20192, _u20191, _u20190, _u20189, _u20188)), hAPP(c_Set_Oimage(_u20188, _u20189, _u20190), c_Orderings_Otop__class_Otop(tc_fun(_u20188, tc_HOL_Obool))))) )).
% 12.21/12.48 cnf(matrix-8124, plain, ( ~c_Fun_Oinj__on(_u20188, _u20189, _u20190, c_Orderings_Otop__class_Otop(tc_fun(_u20188, tc_HOL_Obool))) | hBOOL(hAPP(_u20191, _u20192)) | ~hBOOL(hAPP(_u20191, hAPP(c_Hilbert__Choice_Oinv__into(_u20188, _u20189, c_Orderings_Otop__class_Otop(tc_fun(_u20188, tc_HOL_Obool)), _u20190), skolem543(_u20192, _u20191, _u20190, _u20189, _u20188)))) )).
% 12.21/12.48 cnf(matrix-8125, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) )).
% 12.21/12.48 cnf(matrix-8126, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) )).
% 12.21/12.48 cnf(matrix-8127, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | ( skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196) != skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)) )).
% 12.21/12.48 cnf(matrix-8128, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20199, tc_HOL_Obool)), hAPP(_u20200, skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196))), hAPP(_u20200, skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196))) != c_Orderings_Obot__class_Obot(tc_fun(_u20199, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8129, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20199), hAPP(_u20200, skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) )).
% 12.21/12.48 cnf(matrix-8130, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20199), hAPP(_u20200, skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | hBOOL(hAPP(hAPP(c_member(_u20197), skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)), _u20198)) )).
% 12.21/12.48 cnf(matrix-8131, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20199), hAPP(_u20200, skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | ( skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196) != skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)) )).
% 12.21/12.48 cnf(matrix-8132, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20197), _u20198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20199), hAPP(_u20200, skolem544(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20197, tc_fun(_u20199, tc_HOL_Obool)), _u20198), _u20200)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20197, c_Groups_Otimes__class_Otimes(_u20196)), hAPP(hAPP(c_COMBB(tc_fun(_u20199, tc_HOL_Obool), _u20196, _u20197), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20196, _u20199, c_Groups_Otimes__class_Otimes(_u20196)), _u20201), c_Groups_Oone__class_Oone(_u20196))), _u20200)), c_Groups_Oone__class_Oone(_u20196)), _u20198)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20199, tc_HOL_Obool)), hAPP(_u20200, skolem545(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196))), hAPP(_u20200, skolem546(_u20201, _u20200, _u20199, _u20198, _u20197, _u20196))) != c_Orderings_Obot__class_Obot(tc_fun(_u20199, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8133, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20203), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20203 = hAPP(c_Code__Numeral_Onat__of, skolem547(_u20203))) )).
% 12.21/12.48 cnf(matrix-8134, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20205), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20206, hAPP(c_Code__Numeral_Onat__of, skolem548(_u20206, _u20205)))) | hBOOL(hAPP(_u20206, _u20205)) )).
% 12.21/12.48 cnf(matrix-8135, plain, ( ( _u20208 = hAPP(c_Code__Numeral_Oof__nat, skolem549(_u20208))) )).
% 12.21/12.48 cnf(matrix-8136, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem549(_u20208)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-8137, plain, ( hBOOL(hAPP(_u20210, _u20211)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem550(_u20211, _u20210)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-8138, plain, ( hBOOL(hAPP(_u20210, _u20211)) | ~hBOOL(hAPP(_u20210, hAPP(c_Code__Numeral_Oof__nat, skolem550(_u20211, _u20210)))) )).
% 12.21/12.48 cnf(matrix-8139, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20212, _u20213, _u20214, _u20215, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20213)) = _u20214) )).
% 12.21/12.48 cnf(matrix-8140, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20218), _u20220)) | ( c_Quickcheck_Obeyond(_u20218, _u20220) = _u20220) )).
% 12.21/12.48 cnf(matrix-8141, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20219), _u20221)) | ( c_Quickcheck_Obeyond(_u20219, _u20221) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.48 cnf(matrix-8142, plain, ( ( c_Quickcheck_Obeyond(_u20222, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.48 cnf(matrix-8143, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20223, _u20224, _u20225, _u20226, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20224, _u20227, _u20228)) = hAPP(hAPP(hAPP(_u20226, _u20227), _u20228), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20223, _u20224, _u20225, _u20226, _u20228))) )).
% 12.21/12.48 cnf(matrix-8144, plain, ( ~c_Fun_Obij__betw(_u20229, _u20230, _u20231, c_Orderings_Otop__class_Otop(tc_fun(_u20229, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20230, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20229, _u20230, _u20231), hAPP(c_Set_OCollect(_u20229), _u20232)) = hAPP(c_Set_OCollect(_u20230), hAPP(hAPP(c_COMBB(_u20229, tc_HOL_Obool, _u20230), _u20232), c_Hilbert__Choice_Oinv__into(_u20229, _u20230, c_Orderings_Otop__class_Otop(tc_fun(_u20229, tc_HOL_Obool)), _u20231)))) )).
% 12.21/12.48 cnf(matrix-8145, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20233, _u20234, _u20235, _u20236), _u20237), _u20238) = hAPP(_u20236, hAPP(hAPP(c_Product__Type_OPair(_u20233, _u20234), _u20237), _u20238))) )).
% 12.21/12.48 cnf(matrix-8146, plain, ( ~hBOOL(hAPP(_u20239, hAPP(hAPP(c_Product__Type_OPair(_u20240, _u20241), _u20242), _u20243))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20240, _u20241, tc_HOL_Obool, _u20239), _u20242), _u20243)) )).
% 12.21/12.48 cnf(matrix-8147, plain, ( c_Fun_Obij__betw(_u20244, _u20244, c_Fun_Oid(_u20244), _u20245, _u20245) )).
% 12.21/12.48 cnf(matrix-8148, plain, ( ~c_Fun_Obij__betw(_u20246, _u20247, _u20248, _u20249, _u20250) | c_Fun_Obij__betw(_u20247, _u20246, c_Hilbert__Choice_Oinv__into(_u20246, _u20247, _u20249, _u20248), _u20250, _u20249) )).
% 12.21/12.48 cnf(matrix-8149, plain, ( ~c_Fun_Obij__betw(_u20251, _u20252, _u20253, _u20254, _u20255) | ~hBOOL(hAPP(hAPP(c_member(_u20251), _u20256), _u20254)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20252, _u20251, _u20255, c_Hilbert__Choice_Oinv__into(_u20251, _u20252, _u20254, _u20253)), _u20256) = hAPP(_u20253, _u20256)) )).
% 12.21/12.48 cnf(matrix-8150, plain, ( ~c_Fun_Obij__betw(_u20257, _u20258, _u20259, c_Orderings_Otop__class_Otop(tc_fun(_u20257, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20258, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20258, _u20257, c_Orderings_Otop__class_Otop(tc_fun(_u20258, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20257, _u20258, c_Orderings_Otop__class_Otop(tc_fun(_u20257, tc_HOL_Obool)), _u20259)) = _u20259) )).
% 12.21/12.48 cnf(matrix-8151, plain, ( ~c_Fun_Obij__betw(_u20260, _u20261, _u20262, c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20261, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20261, _u20260, c_Hilbert__Choice_Oinv__into(_u20260, _u20261, c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool)), _u20262), c_Orderings_Otop__class_Otop(tc_fun(_u20261, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8152, plain, ( ~c_Fun_Obij__betw(_u20263, _u20264, _u20265, c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20264, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20266, _u20263, _u20267, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20266, _u20264, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20263, _u20264, _u20266, _u20265), _u20267)) = hAPP(c_Fun_Ocomp(_u20263, _u20266, _u20264, c_Hilbert__Choice_Oinv__into(_u20266, _u20263, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), _u20267)), c_Hilbert__Choice_Oinv__into(_u20263, _u20264, c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool)), _u20265))) )).
% 12.21/12.48 cnf(matrix-8153, plain, ( ~c_Fun_Obij__betw(_u20268, _u20269, _u20270, c_Orderings_Otop__class_Otop(tc_fun(_u20268, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20269, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20268, _u20269, _u20270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20271, tc_fun(_u20268, tc_HOL_Obool)), _u20272), _u20273)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20271, tc_fun(_u20269, tc_HOL_Obool)), _u20272), hAPP(hAPP(c_COMBB(tc_fun(_u20268, tc_HOL_Obool), tc_fun(_u20269, tc_HOL_Obool), _u20271), c_Set_Oimage(_u20268, _u20269, _u20270)), _u20273))) )).
% 12.21/12.48 cnf(matrix-8154, plain, ( ~c_Fun_Obij__betw(_u20274, _u20275, _u20276, _u20277, _u20278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20274, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20279, _u20274, _u20280), _u20281)), _u20277)) | ~c_Fun_Obij__betw(_u20279, _u20274, _u20280, _u20281, _u20277) | c_Fun_Obij__betw(_u20279, _u20275, hAPP(c_Fun_Ocomp(_u20274, _u20275, _u20279, _u20276), _u20280), _u20281, _u20278) )).
% 12.21/12.48 cnf(matrix-8155, plain, ( ~c_Fun_Obij__betw(_u20274, _u20275, _u20276, _u20277, _u20278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20274, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20279, _u20274, _u20280), _u20281)), _u20277)) | ~c_Fun_Obij__betw(_u20279, _u20275, hAPP(c_Fun_Ocomp(_u20274, _u20275, _u20279, _u20276), _u20280), _u20281, _u20278) | c_Fun_Obij__betw(_u20279, _u20274, _u20280, _u20281, _u20277) )).
% 12.21/12.48 cnf(matrix-8156, plain, ( ~c_Fun_Obij__betw(_u20282, _u20283, _u20284, _u20285, _u20286) | ~c_Fun_Obij__betw(_u20283, _u20287, _u20288, _u20286, _u20289) | c_Fun_Obij__betw(_u20282, _u20287, hAPP(c_Fun_Ocomp(_u20283, _u20287, _u20282, _u20288), _u20284), _u20285, _u20289) )).
% 12.21/12.48 cnf(matrix-8157, plain, ( ~c_Fun_Obij__betw(_u20290, _u20291, _u20292, _u20293, _u20294) | ~c_Fun_Obij__betw(_u20291, _u20295, _u20296, _u20294, _u20297) | c_Fun_Obij__betw(_u20290, _u20295, hAPP(c_Fun_Ocomp(_u20291, _u20295, _u20290, _u20296), _u20292), _u20293, _u20297) )).
% 12.21/12.48 cnf(matrix-8158, plain, ( ~c_Fun_Obij__betw(_u20290, _u20291, _u20292, _u20293, _u20294) | ~c_Fun_Obij__betw(_u20290, _u20295, hAPP(c_Fun_Ocomp(_u20291, _u20295, _u20290, _u20296), _u20292), _u20293, _u20297) | c_Fun_Obij__betw(_u20291, _u20295, _u20296, _u20294, _u20297) )).
% 12.21/12.48 cnf(matrix-8159, plain, ( ~c_Fun_Obij__betw(_u20298, _u20299, _u20300, c_Orderings_Otop__class_Otop(tc_fun(_u20298, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20299, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20299, _u20301, _u20302, c_Orderings_Otop__class_Otop(tc_fun(_u20299, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20301, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20298, _u20301, hAPP(c_Fun_Ocomp(_u20299, _u20301, _u20298, _u20302), _u20300), c_Orderings_Otop__class_Otop(tc_fun(_u20298, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20301, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8160, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20303, _u20304, tc_HOL_Obool, _u20305), _u20306), _u20307)) | hBOOL(hAPP(_u20305, hAPP(hAPP(c_Product__Type_OPair(_u20303, _u20304), _u20306), _u20307))) )).
% 12.21/12.48 cnf(matrix-8161, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20308, _u20309, tc_HOL_Obool, _u20310), _u20311), _u20312)) | hBOOL(hAPP(_u20310, hAPP(hAPP(c_Product__Type_OPair(_u20308, _u20309), _u20311), _u20312))) )).
% 12.21/12.48 cnf(matrix-8162, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20313, _u20314, _u20315, _u20316), _u20317), _u20318) = hAPP(_u20316, hAPP(hAPP(c_Product__Type_OPair(_u20313, _u20314), _u20317), _u20318))) )).
% 12.21/12.48 cnf(matrix-8163, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20319, _u20320, _u20321), c_Product__Type_Ocurry(_u20319, _u20320, _u20321, _u20322)) = _u20322) )).
% 12.21/12.48 cnf(matrix-8164, plain, ( ( c_Product__Type_Ocurry(_u20323, _u20324, _u20325, hAPP(c_Product__Type_Oprod_Oprod__case(_u20323, _u20324, _u20325), _u20326)) = _u20326) )).
% 12.21/12.48 cnf(matrix-8165, plain, ( ~c_Fun_Obij__betw(_u20327, _u20328, _u20329, c_Orderings_Otop__class_Otop(tc_fun(_u20327, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20328, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20327), hAPP(c_Set_Ovimage(_u20327, _u20328, _u20329), _u20330))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20328), _u20330)) )).
% 12.21/12.48 cnf(matrix-8166, plain, ( ~c_Fun_Obij__betw(_u20327, _u20328, _u20329, c_Orderings_Otop__class_Otop(tc_fun(_u20327, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20328, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20328), _u20330)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20327), hAPP(c_Set_Ovimage(_u20327, _u20328, _u20329), _u20330))) )).
% 12.21/12.48 cnf(matrix-8167, plain, ( ~c_Fun_Obij__betw(_u20331, _u20332, _u20333, c_Orderings_Otop__class_Otop(tc_fun(_u20331, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20332, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20331, _u20332, _u20333), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20331, tc_HOL_Obool)), _u20334)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20332, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20331, _u20332, _u20333), _u20334))) )).
% 12.21/12.48 cnf(matrix-8168, plain, ( ~c_Fun_Obij__betw(_u20335, _u20336, _u20337, _u20338, _u20339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20335, tc_HOL_Obool)), _u20340), _u20338)) | ( hAPP(c_Set_Oimage(_u20335, _u20336, _u20337), _u20340) != _u20341) | c_Fun_Obij__betw(_u20335, _u20336, _u20337, _u20340, _u20341) )).
% 12.21/12.48 cnf(matrix-8169, plain, ( ~c_Fun_Obij__betw(_u20342, _u20343, _u20344, c_Orderings_Otop__class_Otop(tc_fun(_u20342, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20343, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20342, _u20343, _u20344), c_Orderings_Otop__class_Otop(tc_fun(_u20342, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20343, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8170, plain, ( ~c_Fun_Obij__betw(_u20345, _u20346, _u20347, _u20348, c_Orderings_Otop__class_Otop(tc_fun(_u20346, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20345, _u20346, _u20347), c_Orderings_Otop__class_Otop(tc_fun(_u20345, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20346, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8171, plain, ( ~c_Fun_Obij__betw(_u20354, _u20356, _u20358, _u20360, _u20362) | c_Fun_Oinj__on(_u20354, _u20356, _u20358, _u20360) )).
% 12.21/12.48 cnf(matrix-8172, plain, ( ~c_Fun_Obij__betw(_u20354, _u20356, _u20358, _u20360, _u20362) | ( hAPP(c_Set_Oimage(_u20354, _u20356, _u20358), _u20360) = _u20362) )).
% 12.21/12.48 cnf(matrix-8173, plain, ( ~c_Fun_Oinj__on(_u20355, _u20357, _u20359, _u20361) | ( hAPP(c_Set_Oimage(_u20355, _u20357, _u20359), _u20361) != _u20363) | c_Fun_Obij__betw(_u20355, _u20357, _u20359, _u20361, _u20363) )).
% 12.21/12.48 cnf(matrix-8174, plain, ( ~c_Fun_Oinj__on(_u20364, _u20365, _u20366, _u20367) | c_Fun_Obij__betw(_u20364, _u20365, _u20366, _u20367, hAPP(c_Set_Oimage(_u20364, _u20365, _u20366), _u20367)) )).
% 12.21/12.48 cnf(matrix-8175, plain, ( ~c_Fun_Obij__betw(_u20368, _u20369, _u20370, _u20371, _u20372) | c_Fun_Oinj__on(_u20368, _u20369, _u20370, _u20371) )).
% 12.21/12.48 cnf(matrix-8176, plain, ( ~c_Fun_Obij__betw(_u20373, _u20374, _u20375, c_Orderings_Otop__class_Otop(tc_fun(_u20373, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20374, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20373, _u20374, _u20375, c_Orderings_Otop__class_Otop(tc_fun(_u20373, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8177, plain, ( ~c_Fun_Obij__betw(_u20376, _u20377, _u20378, _u20379, _u20380) | c_Fun_Obij__betw(_u20377, _u20376, c_Fun_Othe__inv__into(_u20376, _u20377, _u20379, _u20378), _u20380, _u20379) )).
% 12.21/12.48 cnf(matrix-8178, plain, ( ~c_Fun_Obij__betw(_u20381, _u20382, _u20383, _u20384, _u20385) | ( hAPP(c_Finite__Set_Ocard(_u20381), _u20384) = hAPP(c_Finite__Set_Ocard(_u20382), _u20385)) )).
% 12.21/12.48 cnf(matrix-8179, plain, ( ~c_Fun_Obij__betw(_u20386, _u20387, _u20388, _u20389, c_Orderings_Obot__class_Obot(tc_fun(_u20387, tc_HOL_Obool))) | ( _u20389 = c_Orderings_Obot__class_Obot(tc_fun(_u20386, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8180, plain, ( ( _u20393 = c_Orderings_Obot__class_Obot(tc_fun(_u20391, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20390, _u20391, _u20392, c_Orderings_Obot__class_Obot(tc_fun(_u20390, tc_HOL_Obool)), _u20393) )).
% 12.21/12.48 cnf(matrix-8181, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20396), _u20397)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20398), _u20399)) | ~c_Fun_Obij__betw(_u20396, _u20398, _u20394, _u20397, _u20399) | ( hAPP(c_Finite__Set_Ocard(_u20396), _u20397) = hAPP(c_Finite__Set_Ocard(_u20398), _u20399)) )).
% 12.21/12.48 cnf(matrix-8182, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20396), _u20397)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20398), _u20399)) | ( hAPP(c_Finite__Set_Ocard(_u20396), _u20397) != hAPP(c_Finite__Set_Ocard(_u20398), _u20399)) | c_Fun_Obij__betw(_u20396, _u20398, skolem551(_u20399, _u20398, _u20397, _u20396), _u20397, _u20399) )).
% 12.21/12.48 cnf(matrix-8183, plain, ( ~c_Fun_Obij__betw(_u20400, _u20401, _u20402, _u20403, _u20404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20400), _u20403)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20401), _u20404)) )).
% 12.21/12.48 cnf(matrix-8184, plain, ( ~c_Fun_Obij__betw(_u20400, _u20401, _u20402, _u20403, _u20404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20401), _u20404)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20400), _u20403)) )).
% 12.21/12.48 cnf(matrix-8185, plain, ( ( _u20410 = _u20412) | ~c_Fun_Obij__betw(_u20408, _u20408, c_Fun_Oid(_u20408), _u20410, _u20412) )).
% 12.21/12.48 cnf(matrix-8186, plain, ( ( _u20411 != _u20413) | c_Fun_Obij__betw(_u20409, _u20409, c_Fun_Oid(_u20409), _u20411, _u20413) )).
% 12.21/12.48 cnf(matrix-8187, plain, ( c_Fun_Obij__betw(_u20414, _u20414, c_Fun_Oid(_u20414), c_Orderings_Otop__class_Otop(tc_fun(_u20414, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20414, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8188, plain, ( ~c_Fun_Obij__betw(_u20415, _u20416, _u20417, _u20418, _u20419) | ~c_Fun_Obij__betw(_u20415, _u20416, _u20417, _u20420, _u20421) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20416, tc_HOL_Obool)), _u20419), _u20421) != c_Orderings_Obot__class_Obot(tc_fun(_u20416, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20415, _u20416, _u20417, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20415, tc_HOL_Obool)), _u20418), _u20420), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20416, tc_HOL_Obool)), _u20419), _u20421)) )).
% 12.21/12.48 cnf(matrix-8189, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20422, tc_HOL_Obool)), _u20423), _u20424) != c_Orderings_Obot__class_Obot(tc_fun(_u20422, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20425, tc_HOL_Obool)), _u20426), _u20427) != c_Orderings_Obot__class_Obot(tc_fun(_u20425, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20422, _u20425, _u20428, _u20423, _u20426) | ~c_Fun_Obij__betw(_u20422, _u20425, _u20428, _u20424, _u20427) | c_Fun_Obij__betw(_u20422, _u20425, _u20428, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20422, tc_HOL_Obool)), _u20423), _u20424), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20425, tc_HOL_Obool)), _u20426), _u20427)) )).
% 12.21/12.48 cnf(matrix-8190, plain, ( ~c_Fun_Obij__betw(_u20432, _u20434, _u20436, c_Orderings_Otop__class_Otop(tc_fun(_u20432, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20434, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20432, _u20434, _u20436, c_Orderings_Otop__class_Otop(tc_fun(_u20432, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8191, plain, ( ~c_Fun_Obij__betw(_u20432, _u20434, _u20436, c_Orderings_Otop__class_Otop(tc_fun(_u20432, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20434, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20432, _u20434, _u20436), c_Orderings_Otop__class_Otop(tc_fun(_u20432, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20434, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8192, plain, ( ~c_Fun_Oinj__on(_u20433, _u20435, _u20437, c_Orderings_Otop__class_Otop(tc_fun(_u20433, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20433, _u20435, _u20437), c_Orderings_Otop__class_Otop(tc_fun(_u20433, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20435, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20433, _u20435, _u20437, c_Orderings_Otop__class_Otop(tc_fun(_u20433, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20435, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8193, plain, ( ~c_Fun_Oinj__on(_u20438, _u20439, _u20440, c_Orderings_Otop__class_Otop(tc_fun(_u20438, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20438, _u20439, _u20440), c_Orderings_Otop__class_Otop(tc_fun(_u20438, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20439, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20438, _u20439, _u20440, c_Orderings_Otop__class_Otop(tc_fun(_u20438, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20439, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8194, plain, ( ~c_Fun_Obij__betw(_u20441, _u20442, _u20443, c_Orderings_Otop__class_Otop(tc_fun(_u20441, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20442, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20441, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20441, _u20442, _u20443), _u20444)), _u20445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20442, tc_HOL_Obool)), _u20444), hAPP(c_Set_Oimage(_u20441, _u20442, _u20443), _u20445))) )).
% 12.21/12.48 cnf(matrix-8195, plain, ( ~c_Fun_Obij__betw(_u20441, _u20442, _u20443, c_Orderings_Otop__class_Otop(tc_fun(_u20441, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20442, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20442, tc_HOL_Obool)), _u20444), hAPP(c_Set_Oimage(_u20441, _u20442, _u20443), _u20445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20441, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20441, _u20442, _u20443), _u20444)), _u20445)) )).
% 12.21/12.48 cnf(matrix-8196, plain, ( ~c_Fun_Obij__betw(_u20446, _u20447, _u20448, c_Orderings_Otop__class_Otop(tc_fun(_u20446, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20447, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u20446, _u20447, _u20448), _u20449) = hAPP(c_Set_Oimage(_u20447, _u20446, c_Hilbert__Choice_Oinv__into(_u20446, _u20447, c_Orderings_Otop__class_Otop(tc_fun(_u20446, tc_HOL_Obool)), _u20448)), _u20449)) )).
% 12.21/12.48 cnf(matrix-8197, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20451), _u20452)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20451, skolem552(_u20452, _u20451), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u20451), _u20452)), _u20452) )).
% 12.21/12.48 cnf(matrix-8198, plain, ( ~c_Fun_Oinj__on(_u20454, _u20455, _u20456, _u20457) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20455, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20454, _u20455, _u20456), _u20457)), _u20458)) | ~c_Fun_Oinj__on(_u20455, _u20454, _u20459, _u20458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20454, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20455, _u20454, _u20459), _u20458)), _u20457)) | c_Fun_Obij__betw(_u20454, _u20455, skolem553(_u20459, _u20458, _u20457, _u20456, _u20455, _u20454), _u20457, _u20458) )).
% 12.21/12.48 cnf(matrix-8199, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20461), _u20462)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20461, skolem554(_u20462, _u20461), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20461), _u20462)), _u20462) )).
% 12.21/12.48 cnf(matrix-8200, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20464), _u20465)) | c_Fun_Obij__betw(_u20464, tc_Nat_Onat, skolem555(_u20465, _u20464), _u20465, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20464), _u20465))) )).
% 12.21/12.48 cnf(matrix-8201, plain, ( c_Relation_Orefl__on(_u20469, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20467, tc_fun(_u20469, tc_HOL_Obool)), _u20468), _u20470), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20467, tc_fun(tc_prod(_u20469, _u20469), tc_HOL_Obool)), _u20468), _u20471)) | hBOOL(hAPP(hAPP(c_member(_u20467), skolem556(_u20471, _u20470, _u20469, _u20468, _u20467)), _u20468)) )).
% 12.21/12.48 cnf(matrix-8202, plain, ( c_Relation_Orefl__on(_u20469, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20467, tc_fun(_u20469, tc_HOL_Obool)), _u20468), _u20470), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20467, tc_fun(tc_prod(_u20469, _u20469), tc_HOL_Obool)), _u20468), _u20471)) | ~c_Relation_Orefl__on(_u20469, hAPP(_u20470, skolem556(_u20471, _u20470, _u20469, _u20468, _u20467)), hAPP(_u20471, skolem556(_u20471, _u20470, _u20469, _u20468, _u20467))) )).
% 12.21/12.48 cnf(matrix-8203, plain, ( ~c_Equiv__Relations_Oequivp(_u20476, _u20477) | ~hBOOL(hAPP(hAPP(c_member(_u20476), _u20472), c_Quotient_ORespects(_u20476, _u20477))) | ~hBOOL(hAPP(_u20478, _u20472)) | hBOOL(hAPP(_u20478, skolem557(_u20478, _u20477, _u20476))) )).
% 12.21/12.48 cnf(matrix-8204, plain, ( ~c_Equiv__Relations_Oequivp(_u20476, _u20477) | ~hBOOL(hAPP(_u20478, _u20474)) | hBOOL(hAPP(hAPP(c_member(_u20476), skolem558(_u20478, _u20477, _u20476)), c_Quotient_ORespects(_u20476, _u20477))) )).
% 12.21/12.48 cnf(matrix-8205, plain, ( ~c_Equiv__Relations_Oequivp(_u20476, _u20477) | ~hBOOL(hAPP(_u20478, _u20474)) | hBOOL(hAPP(_u20478, skolem558(_u20478, _u20477, _u20476))) )).
% 12.21/12.48 cnf(matrix-8206, plain, ( hBOOL(hAPP(hAPP(_u20486, _u20484), _u20484)) | ~hBOOL(hAPP(hAPP(c_member(_u20482), _u20484), c_Quotient_ORespects(_u20482, _u20486))) )).
% 12.21/12.48 cnf(matrix-8207, plain, ( ~hBOOL(hAPP(hAPP(_u20487, _u20485), _u20485)) | hBOOL(hAPP(hAPP(c_member(_u20483), _u20485), c_Quotient_ORespects(_u20483, _u20487))) )).
% 12.21/12.48 cnf(matrix-8208, plain, ( hBOOL(hAPP(hAPP(_u20493, _u20495), _u20495)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20491, _u20493), _u20495)) )).
% 12.21/12.48 cnf(matrix-8209, plain, ( ~hBOOL(hAPP(hAPP(_u20494, _u20496), _u20496)) | hBOOL(hAPP(c_Quotient_ORespects(_u20492, _u20494), _u20496)) )).
% 12.21/12.48 cnf(matrix-8210, plain, ( ~c_Equiv__Relations_Oequivp(_u20500, _u20501) | hBOOL(hAPP(_u20502, skolem559(_u20503, _u20502, _u20501, _u20500))) | ~hBOOL(hAPP(_u20502, _u20498)) | hBOOL(hAPP(hAPP(c_member(_u20500), skolem560(_u20503, _u20502, _u20501, _u20500)), c_Quotient_ORespects(_u20500, _u20501))) )).
% 12.21/12.48 cnf(matrix-8211, plain, ( ~c_Equiv__Relations_Oequivp(_u20500, _u20501) | hBOOL(hAPP(_u20502, skolem559(_u20503, _u20502, _u20501, _u20500))) | ~hBOOL(hAPP(_u20502, _u20498)) | hBOOL(hAPP(_u20503, skolem560(_u20503, _u20502, _u20501, _u20500))) )).
% 12.21/12.48 cnf(matrix-8212, plain, ( ~c_Equiv__Relations_Oequivp(_u20500, _u20501) | ~hBOOL(hAPP(_u20503, skolem559(_u20503, _u20502, _u20501, _u20500))) | ~hBOOL(hAPP(_u20502, _u20498)) | hBOOL(hAPP(hAPP(c_member(_u20500), skolem560(_u20503, _u20502, _u20501, _u20500)), c_Quotient_ORespects(_u20500, _u20501))) )).
% 12.21/12.48 cnf(matrix-8213, plain, ( ~c_Equiv__Relations_Oequivp(_u20500, _u20501) | ~hBOOL(hAPP(_u20503, skolem559(_u20503, _u20502, _u20501, _u20500))) | ~hBOOL(hAPP(_u20502, _u20498)) | hBOOL(hAPP(_u20503, skolem560(_u20503, _u20502, _u20501, _u20500))) )).
% 12.21/12.48 cnf(matrix-8214, plain, ( ~c_Equiv__Relations_Oequivp(_u20504, _u20505) | ( c_Quotient_OBabs(_u20504, _u20506, c_Quotient_ORespects(_u20504, _u20505), _u20507) = _u20507) )).
% 12.21/12.48 cnf(matrix-8215, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20508), _u20509), _u20510)) | ( hAPP(c_Quotient_OBabs(_u20508, _u20511, _u20510, _u20512), _u20509) = hAPP(_u20512, _u20509)) )).
% 12.21/12.48 cnf(matrix-8216, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20516, _u20516)), hAPP(hAPP(c_Product__Type_OPair(_u20516, _u20516), hAPP(_u20517, hAPP(c_Nat_OSuc, skolem561(_u20518, _u20517, _u20516)))), hAPP(_u20517, skolem561(_u20518, _u20517, _u20516)))), c_Transitive__Closure_Ortrancl(_u20516, _u20518))) | ~c_Wellfounded_Owf(_u20516, c_Transitive__Closure_Otrancl(_u20516, _u20518)) | ( hAPP(_u20517, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem562(_u20518, _u20517, _u20516)), _u20514)) = hAPP(_u20517, skolem562(_u20518, _u20517, _u20516))) )).
% 12.21/12.48 cnf(matrix-8217, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20522, tc_HOL_Obool)), _u20523), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20520, tc_fun(_u20522, tc_HOL_Obool)), _u20521), _u20524))) | hBOOL(hAPP(hAPP(c_member(_u20520), skolem563(_u20524, _u20523, _u20522, _u20521, _u20520)), _u20521)) )).
% 12.21/12.48 cnf(matrix-8218, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20522, tc_HOL_Obool)), _u20523), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20520, tc_fun(_u20522, tc_HOL_Obool)), _u20521), _u20524))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20522, tc_HOL_Obool)), _u20523), hAPP(_u20524, skolem563(_u20524, _u20523, _u20522, _u20521, _u20520)))) )).
% 12.21/12.48 cnf(matrix-8219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), _u20527), _u20528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20529, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20526, tc_fun(_u20529, tc_HOL_Obool)), _u20528), _u20530)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20526, tc_fun(_u20529, tc_HOL_Obool)), _u20528), _u20531))) | hBOOL(hAPP(hAPP(c_member(_u20526), skolem564(_u20531, _u20530, _u20529, _u20528, _u20527, _u20526)), _u20528)) )).
% 12.21/12.48 cnf(matrix-8220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), _u20527), _u20528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20529, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20526, tc_fun(_u20529, tc_HOL_Obool)), _u20528), _u20530)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20526, tc_fun(_u20529, tc_HOL_Obool)), _u20528), _u20531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20529, tc_HOL_Obool)), hAPP(_u20530, skolem564(_u20531, _u20530, _u20529, _u20528, _u20527, _u20526))), hAPP(_u20531, skolem564(_u20531, _u20530, _u20529, _u20528, _u20527, _u20526)))) )).
% 12.21/12.48 cnf(matrix-8221, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20540), _u20541))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) | ~hBOOL(hAPP(hAPP(_u20543, _u20538), _u20539)) | hBOOL(hAPP(hAPP(_u20543, _u20540), _u20541)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), skolem565(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem566(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) )).
% 12.21/12.48 cnf(matrix-8222, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20540), _u20541))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) | ~hBOOL(hAPP(hAPP(_u20543, _u20538), _u20539)) | hBOOL(hAPP(hAPP(_u20543, _u20540), _u20541)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), skolem565(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem566(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536))), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), skolem567(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem568(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)))), _u20542)) )).
% 12.21/12.48 cnf(matrix-8223, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20540), _u20541))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) | ~hBOOL(hAPP(hAPP(_u20543, _u20538), _u20539)) | hBOOL(hAPP(hAPP(_u20543, _u20540), _u20541)) | hBOOL(hAPP(hAPP(_u20543, skolem565(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem566(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536))) )).
% 12.21/12.48 cnf(matrix-8224, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20536, _u20537), tc_prod(_u20536, _u20537)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20538), _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20536, _u20537), _u20540), _u20541))), c_Transitive__Closure_Ortrancl(tc_prod(_u20536, _u20537), _u20542))) | ~hBOOL(hAPP(hAPP(_u20543, _u20538), _u20539)) | hBOOL(hAPP(hAPP(_u20543, _u20540), _u20541)) | ~hBOOL(hAPP(hAPP(_u20543, skolem567(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536)), skolem568(_u20543, _u20542, _u20541, _u20540, _u20539, _u20538, _u20537, _u20536))) )).
% 12.21/12.48 cnf(matrix-8225, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551))), c_Transitive__Closure_Ortrancl(tc_prod(_u20546, _u20547), _u20552))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549) = hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), skolem569(_u20552, _u20551, _u20550, _u20549, _u20548, _u20547, _u20546)), skolem570(_u20552, _u20551, _u20550, _u20549, _u20548, _u20547, _u20546)))), _u20552)) )).
% 12.21/12.48 cnf(matrix-8226, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551))), c_Transitive__Closure_Ortrancl(tc_prod(_u20546, _u20547), _u20552))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20548), _u20549) = hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20546, _u20547), tc_prod(_u20546, _u20547)), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), skolem569(_u20552, _u20551, _u20550, _u20549, _u20548, _u20547, _u20546)), skolem570(_u20552, _u20551, _u20550, _u20549, _u20548, _u20547, _u20546))), hAPP(hAPP(c_Product__Type_OPair(_u20546, _u20547), _u20550), _u20551))), c_Transitive__Closure_Ortrancl(tc_prod(_u20546, _u20547), _u20552))) )).
% 12.21/12.48 cnf(matrix-8227, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20559), _u20560)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) | ~hBOOL(hAPP(hAPP(_u20564, _u20561), _u20562)) | hBOOL(hAPP(hAPP(_u20564, _u20559), _u20560)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), skolem571(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem572(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557))), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), skolem573(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem574(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)))), _u20563)) )).
% 12.21/12.48 cnf(matrix-8228, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20559), _u20560)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) | ~hBOOL(hAPP(hAPP(_u20564, _u20561), _u20562)) | hBOOL(hAPP(hAPP(_u20564, _u20559), _u20560)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), skolem573(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem574(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557))), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) )).
% 12.21/12.48 cnf(matrix-8229, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20559), _u20560)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) | ~hBOOL(hAPP(hAPP(_u20564, _u20561), _u20562)) | hBOOL(hAPP(hAPP(_u20564, _u20559), _u20560)) | hBOOL(hAPP(hAPP(_u20564, skolem573(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem574(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557))) )).
% 12.21/12.48 cnf(matrix-8230, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20557, _u20558), tc_prod(_u20557, _u20558)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20559), _u20560)), hAPP(hAPP(c_Product__Type_OPair(_u20557, _u20558), _u20561), _u20562))), c_Transitive__Closure_Ortrancl(tc_prod(_u20557, _u20558), _u20563))) | ~hBOOL(hAPP(hAPP(_u20564, _u20561), _u20562)) | hBOOL(hAPP(hAPP(_u20564, _u20559), _u20560)) | ~hBOOL(hAPP(hAPP(_u20564, skolem571(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557)), skolem572(_u20564, _u20563, _u20562, _u20561, _u20560, _u20559, _u20558, _u20557))) )).
% 12.21/12.48 cnf(matrix-8231, plain, ( c_Equiv__Relations_Ocongruent2(_u20569, _u20571, _u20574, _u20570, _u20572, _u20573) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20569, _u20569)), hAPP(hAPP(c_Product__Type_OPair(_u20569, _u20569), skolem575(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)), skolem576(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569))), _u20570)) )).
% 12.21/12.48 cnf(matrix-8232, plain, ( c_Equiv__Relations_Ocongruent2(_u20569, _u20571, _u20574, _u20570, _u20572, _u20573) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20571, _u20571)), hAPP(hAPP(c_Product__Type_OPair(_u20571, _u20571), skolem577(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)), skolem578(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569))), _u20572)) )).
% 12.21/12.48 cnf(matrix-8233, plain, ( c_Equiv__Relations_Ocongruent2(_u20569, _u20571, _u20574, _u20570, _u20572, _u20573) | ( hAPP(hAPP(_u20573, skolem575(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)), skolem577(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)) != hAPP(hAPP(_u20573, skolem576(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569)), skolem578(_u20574, _u20573, _u20572, _u20571, _u20570, _u20569))) )).
% 12.21/12.48 cnf(matrix-8234, plain, ( c_Equiv__Relations_Ocongruent(_u20577, _u20580, _u20578, _u20579) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20577, _u20577)), hAPP(hAPP(c_Product__Type_OPair(_u20577, _u20577), skolem579(_u20580, _u20579, _u20578, _u20577)), skolem580(_u20580, _u20579, _u20578, _u20577))), _u20578)) )).
% 12.21/12.48 cnf(matrix-8235, plain, ( c_Equiv__Relations_Ocongruent(_u20577, _u20580, _u20578, _u20579) | ( hAPP(_u20579, skolem579(_u20580, _u20579, _u20578, _u20577)) != hAPP(_u20579, skolem580(_u20580, _u20579, _u20578, _u20577))) )).
% 12.21/12.48 cnf(matrix-8236, plain, ( ( c_Lazy__Sequence_Oflat(_u20581, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20581), _u20582, _u20583)) = c_Lazy__Sequence_Oappend(_u20581, _u20582, c_Lazy__Sequence_Oflat(_u20581, _u20583))) )).
% 12.21/12.48 cnf(matrix-8237, plain, ( ~c_List_Oall__interval__nat(_u20589, _u20591, _u20593) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20584), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20591), _u20593))) | hBOOL(hAPP(_u20589, _u20584)) )).
% 12.21/12.48 cnf(matrix-8238, plain, ( c_List_Oall__interval__nat(_u20590, _u20592, _u20594) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem581(_u20594, _u20592, _u20590)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20592), _u20594))) )).
% 12.21/12.48 cnf(matrix-8239, plain, ( c_List_Oall__interval__nat(_u20590, _u20592, _u20594) | ~hBOOL(hAPP(_u20590, skolem581(_u20594, _u20592, _u20590))) )).
% 12.21/12.48 cnf(matrix-8240, plain, ( ( c_Lazy__Sequence_Oflat(_u20595, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20595))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20595)) )).
% 12.21/12.48 cnf(matrix-8241, plain, ( ~c_List_Olist__all(tc_Nat_Onat, _u20599, c_List_Oupt(_u20601, _u20603)) | c_List_Oall__interval__nat(_u20599, _u20601, _u20603) )).
% 12.21/12.48 cnf(matrix-8242, plain, ( ~c_List_Oall__interval__nat(_u20600, _u20602, _u20604) | c_List_Olist__all(tc_Nat_Onat, _u20600, c_List_Oupt(_u20602, _u20604)) )).
% 12.21/12.48 cnf(matrix-8243, plain, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20608, c_List_Oupt(_u20610, _u20612)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20608), _u20610, _u20612) )).
% 12.21/12.48 cnf(matrix-8244, plain, ( c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20609), _u20611, _u20613) | c_List_Olist__ex(tc_Nat_Onat, _u20609, c_List_Oupt(_u20611, _u20613)) )).
% 12.21/12.48 cnf(matrix-8245, plain, ( ( hAPP(c_Lazy__Sequence_Obind(_u20614, _u20615, _u20616), _u20617) = c_Lazy__Sequence_Oflat(_u20615, c_Lazy__Sequence_Omap(_u20614, tc_Lazy__Sequence_Olazy__sequence(_u20615), _u20617, _u20616))) )).
% 12.21/12.48 cnf(matrix-8246, plain, ( ~c_Finite__Set_Ofolding__image(_u20619, _u20620, _u20621, _u20622, _u20623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20620), _u20624)) | ( hAPP(hAPP(_u20623, _u20625), _u20624) = hAPP(hAPP(_u20623, _u20626), _u20624)) | hBOOL(hAPP(hAPP(c_member(_u20620), skolem582(_u20626, _u20625, _u20624, _u20623, _u20622, _u20621, _u20620)), _u20624)) )).
% 12.21/12.48 cnf(matrix-8247, plain, ( ~c_Finite__Set_Ofolding__image(_u20619, _u20620, _u20621, _u20622, _u20623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20620), _u20624)) | ( hAPP(hAPP(_u20623, _u20625), _u20624) = hAPP(hAPP(_u20623, _u20626), _u20624)) | ( hAPP(_u20625, skolem582(_u20626, _u20625, _u20624, _u20623, _u20622, _u20621, _u20620)) != hAPP(_u20626, skolem582(_u20626, _u20625, _u20624, _u20623, _u20622, _u20621, _u20620))) )).
% 12.21/12.48 cnf(matrix-8248, plain, ( ( c_Lazy__Sequence_Omap(_u20627, _u20628, _u20629, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20627, _u20630, _u20631)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20628, hAPP(_u20629, _u20630), c_Lazy__Sequence_Omap(_u20627, _u20628, _u20629, _u20631))) )).
% 12.21/12.48 cnf(matrix-8249, plain, ( ( c_Lazy__Sequence_Omap(_u20632, _u20633, _u20634, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20632)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20633)) )).
% 12.21/12.48 cnf(matrix-8250, plain, ( ( c_New__DSequence_Opos__map(_u20635, _u20636, _u20637, _u20638, _u20639) = c_Lazy__Sequence_Omap(_u20635, _u20636, _u20637, hAPP(_u20638, _u20639))) )).
% 12.21/12.48 cnf(matrix-8251, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20640), _u20641)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20640), _u20642))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20641), _u20642)) )).
% 12.21/12.48 cnf(matrix-8252, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20643), _u20643)) )).
% 12.21/12.48 cnf(matrix-8253, plain, ( ~class_Rings_Ocomm__semiring__1(_u20644) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20644), _u20645), c_Groups_Ozero__class_Ozero(_u20644))) )).
% 12.21/12.48 cnf(matrix-8254, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20646)) )).
% 12.21/12.48 cnf(matrix-8255, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20647), _u20648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20647), _u20648)) )).
% 12.21/12.48 cnf(matrix-8256, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20649), _u20650)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20649), _u20651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20649)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20650), _u20651)) )).
% 12.21/12.48 cnf(matrix-8257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20652)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20652), _u20653)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20652), _u20654))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20653), _u20654)) )).
% 12.21/12.48 cnf(matrix-8258, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20652)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20653), _u20654)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20652), _u20653)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20652), _u20654))) )).
% 12.21/12.48 cnf(matrix-8259, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20655) | ~class_Rings_Odvd(_u20655) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20656), _u20657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20656, tc_HOL_Obool)), _u20658), _u20657)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20655), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20656, _u20655), _u20659), _u20658)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20656, _u20655), _u20659), _u20657))) )).
% 12.21/12.48 cnf(matrix-8260, plain, ( ~class_Rings_Ocomm__ring(_u20662) | ~class_Rings_Odvd(_u20662) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), _u20664)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20662), _u20668), _u20665))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20662), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20662), _u20668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20662), _u20666), _u20664))), _u20665))) )).
% 12.21/12.48 cnf(matrix-8261, plain, ( ~class_Rings_Ocomm__ring(_u20662) | ~class_Rings_Odvd(_u20662) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), _u20664)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20662), _u20669), _u20665))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20662), _u20663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20662), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20662), _u20669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20662), _u20667), _u20664))), _u20665))) )).
% 12.21/12.48 cnf(matrix-8262, plain, ( ~class_Rings_Ocomm__ring(_u20672) | ~class_Rings_Odvd(_u20672) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), _u20674)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20672), _u20678), _u20675))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20672), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20672), _u20678), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20672), _u20676), _u20674))), _u20675))) )).
% 12.21/12.48 cnf(matrix-8263, plain, ( ~class_Rings_Ocomm__ring(_u20672) | ~class_Rings_Odvd(_u20672) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), _u20674)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20672), _u20679), _u20675))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20672), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20672), _u20679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20672), _u20677), _u20674))), _u20675))) )).
% 12.21/12.48 cnf(matrix-8264, plain, ( ~class_Divides_Osemiring__div(_u20680) | ( _u20681 = c_Groups_Ozero__class_Ozero(_u20680)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20680), _u20681), _u20682)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20680), _u20682), _u20681) != _u20683) | ( _u20682 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20680), _u20683), _u20681)) )).
% 12.21/12.48 cnf(matrix-8265, plain, ( ~class_Divides_Osemiring__div(_u20680) | ( _u20681 = c_Groups_Ozero__class_Ozero(_u20680)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20680), _u20681), _u20682)) | ( _u20682 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20680), _u20683), _u20681)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20680), _u20682), _u20681) = _u20683) )).
% 12.21/12.48 cnf(matrix-8266, plain, ( ~class_Divides_Osemiring__div(_u20684) | ( _u20685 = c_Groups_Ozero__class_Ozero(_u20684)) | ( _u20686 = c_Groups_Ozero__class_Ozero(_u20684)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20684), _u20685), _u20687)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20684), _u20686), _u20688)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20684), _u20687), _u20685) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20684), _u20688), _u20686)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20684), _u20687), _u20686) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20684), _u20685), _u20688)) )).
% 12.21/12.48 cnf(matrix-8267, plain, ( ~class_Divides_Osemiring__div(_u20684) | ( _u20685 = c_Groups_Ozero__class_Ozero(_u20684)) | ( _u20686 = c_Groups_Ozero__class_Ozero(_u20684)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20684), _u20685), _u20687)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20684), _u20686), _u20688)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20684), _u20687), _u20686) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20684), _u20685), _u20688)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20684), _u20687), _u20685) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20684), _u20688), _u20686)) )).
% 12.21/12.48 cnf(matrix-8268, plain, ( ~class_Divides_Osemiring__div(_u20689) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20689), _u20690), _u20691)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20689), _u20690), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20689), _u20691), _u20690)) = _u20691) )).
% 12.21/12.48 cnf(matrix-8269, plain, ( ~class_Divides_Osemiring__div(_u20692) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20692), _u20693), _u20694)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20692), _u20695), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20692), _u20694), _u20693)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20692), _u20695), _u20694)), _u20693)) )).
% 12.21/12.48 cnf(matrix-8270, plain, ( ~class_Divides_Osemiring__div(_u20696) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20696), _u20697), _u20698)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20696), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20696), _u20698), _u20697)), _u20697) = _u20698) )).
% 12.21/12.48 cnf(matrix-8271, plain, ( ~class_Divides_Osemiring__div(_u20699) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20699), _u20700), _u20701)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20699), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20699), _u20701), _u20700)), _u20702) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20699), _u20701), _u20702)), _u20700)) )).
% 12.21/12.48 cnf(matrix-8272, plain, ( ~class_Divides_Osemiring__div(_u20703) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20703), _u20704), _u20705)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20703), _u20706), _u20707)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20703), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20703), _u20705), _u20704)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20703), _u20707), _u20706)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20703), _u20705), _u20707)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20703), _u20704), _u20706))) )).
% 12.21/12.48 cnf(matrix-8273, plain, ( ~class_Rings_Ocomm__semiring__1(_u20708) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20708), _u20709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20708), _u20709), _u20710))) )).
% 12.21/12.48 cnf(matrix-8274, plain, ( ~class_Rings_Ocomm__semiring__1(_u20711) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20711), _u20713), _u20712))) )).
% 12.21/12.48 cnf(matrix-8275, plain, ( ~class_Rings_Ocomm__semiring__1(_u20714) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20714), _u20715), _u20716)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20714), _u20715), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20714), _u20716), _u20717))) )).
% 12.21/12.48 cnf(matrix-8276, plain, ( ~class_Rings_Ocomm__semiring__1(_u20718) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20718), _u20719), _u20720)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20718), _u20719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20718), _u20721), _u20720))) )).
% 12.21/12.48 cnf(matrix-8277, 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))) )).
% 12.21/12.48 cnf(matrix-8278, plain, ( ~class_Rings_Odvd(_u20727) | ( _u20728 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20727), _u20729), _u20730)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20727), _u20729), _u20728)) )).
% 12.21/12.48 cnf(matrix-8279, plain, ( ~class_Rings_Ocomm__semiring__1(_u20731) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20731), _u20732), _u20733)), _u20734)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20731), _u20732), _u20734)) )).
% 12.21/12.48 cnf(matrix-8280, plain, ( ~class_Rings_Ocomm__semiring__1(_u20735) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20735), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20735), _u20736), _u20737)), _u20738)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20735), _u20737), _u20738)) )).
% 12.21/12.48 cnf(matrix-8281, plain, ( ~class_Rings_Oidom(_u20739) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20742))) | ( _u20740 = c_Groups_Ozero__class_Ozero(_u20739)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), _u20741), _u20742)) )).
% 12.21/12.48 cnf(matrix-8282, plain, ( ~class_Rings_Oidom(_u20739) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20742))) | ( _u20740 != c_Groups_Ozero__class_Ozero(_u20739)) )).
% 12.21/12.48 cnf(matrix-8283, plain, ( ~class_Rings_Oidom(_u20739) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20740), _u20742))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), _u20741), _u20742)) )).
% 12.21/12.48 cnf(matrix-8284, plain, ( ~class_Rings_Oidom(_u20743) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20744), _u20745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20746), _u20745))) | ( _u20745 = c_Groups_Ozero__class_Ozero(_u20743)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), _u20744), _u20746)) )).
% 12.21/12.48 cnf(matrix-8285, plain, ( ~class_Rings_Oidom(_u20743) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20744), _u20745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20746), _u20745))) | ( _u20745 != c_Groups_Ozero__class_Ozero(_u20743)) )).
% 12.21/12.48 cnf(matrix-8286, plain, ( ~class_Rings_Oidom(_u20743) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20744), _u20745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20746), _u20745))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), _u20744), _u20746)) )).
% 12.21/12.48 cnf(matrix-8287, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20750), _u20752)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20750), _u20754))) | ( _u20750 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20752), _u20754)) )).
% 12.21/12.48 cnf(matrix-8288, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20751), _u20753)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20751), _u20755))) | ( _u20751 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.48 cnf(matrix-8289, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20751), _u20753)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20751), _u20755))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20753), _u20755)) )).
% 12.21/12.48 cnf(matrix-8290, plain, ( ~class_Rings_Odvd(_u20760) | ~class_Rings_Osemiring__0(_u20760) | ~hBOOL(hAPP(_u20761, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20760), _u20762), _u20756))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20760), _u20762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20760), skolem583(_u20762, _u20761, _u20760)), c_Groups_Ozero__class_Ozero(_u20760)))) )).
% 12.21/12.48 cnf(matrix-8291, plain, ( ~class_Rings_Odvd(_u20760) | ~class_Rings_Osemiring__0(_u20760) | ~hBOOL(hAPP(_u20761, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20760), _u20762), _u20756))) | hBOOL(hAPP(_u20761, skolem583(_u20762, _u20761, _u20760))) )).
% 12.21/12.48 cnf(matrix-8292, plain, ( ~class_Rings_Odvd(_u20760) | ~class_Rings_Osemiring__0(_u20760) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20760), _u20762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20760), _u20758), c_Groups_Ozero__class_Ozero(_u20760)))) | ~hBOOL(hAPP(_u20761, _u20758)) | hBOOL(hAPP(_u20761, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20760), _u20762), skolem584(_u20762, _u20761, _u20760)))) )).
% 12.21/12.48 cnf(matrix-8293, plain, ( ( _u20763 != _u20764) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20763, _u20764) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20763), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-8294, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20765, _u20765) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20765), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-8295, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20769, _u20771) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20773), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20769 = _u20771) )).
% 12.21/12.48 cnf(matrix-8296, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20769, _u20771) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20773), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20771 = _u20773) )).
% 12.21/12.48 cnf(matrix-8297, plain, ( ( _u20770 != _u20772) | ( _u20772 != _u20774) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20770, _u20772) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20774), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-8298, 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)))), _u20777, _u20779)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20777), _u20779)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20779), _u20777)) )).
% 12.21/12.48 cnf(matrix-8299, 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)))), _u20778, _u20780)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20778), _u20780)) )).
% 12.21/12.48 cnf(matrix-8300, 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)))), _u20778, _u20780)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20780), _u20778)) )).
% 12.21/12.48 cnf(matrix-8301, 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)))), _u20783, _u20785)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20783), _u20785)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20785), _u20783)) )).
% 12.21/12.48 cnf(matrix-8302, 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)))), _u20784, _u20786)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20784), _u20786)) )).
% 12.21/12.48 cnf(matrix-8303, 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)))), _u20784, _u20786)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20786), _u20784)) )).
% 12.21/12.48 cnf(matrix-8304, 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)))), _u20789, _u20791) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20789), _u20791)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20791), _u20789)) )).
% 12.21/12.48 cnf(matrix-8305, 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)))), _u20790, _u20792) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20790), _u20792)) )).
% 12.21/12.48 cnf(matrix-8306, 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)))), _u20790, _u20792) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20792), _u20790)) )).
% 12.21/12.48 cnf(matrix-8307, 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)))), _u20795, _u20797) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20795), _u20797)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20797), _u20795)) )).
% 12.21/12.48 cnf(matrix-8308, 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)))), _u20796, _u20798) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20796), _u20798)) )).
% 12.21/12.48 cnf(matrix-8309, 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)))), _u20796, _u20798) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20798), _u20796)) )).
% 12.21/12.48 cnf(matrix-8310, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20799), _u20800)) | ( 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)))), _u20800, _u20799) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8311, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20801), _u20802)) | ( 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)))), _u20802, _u20801) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8312, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20803), _u20804)) | ( 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)))), _u20804, _u20803) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8313, 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), _u20807, _u20809)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20807), _u20809)) )).
% 12.21/12.48 cnf(matrix-8314, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20808), _u20810)) | ( 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), _u20808, _u20810)) )).
% 12.21/12.48 cnf(matrix-8315, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20813, _u20815) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20813), _u20815)) )).
% 12.21/12.48 cnf(matrix-8316, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20814), _u20816)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20814, _u20816) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8317, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20817), _u20818)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20818), _u20817)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20818, _u20817) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.48 cnf(matrix-8318, plain, ( ~class_Divides_Oring__div(_u20819) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20819), _u20820), _u20821)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20819), _u20821), hAPP(c_Groups_Ouminus__class_Ouminus(_u20819), _u20820)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20819), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20819), _u20821), _u20820))) )).
% 12.21/12.48 cnf(matrix-8319, plain, ( ~class_Divides_Oring__div(_u20822) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20822), _u20823), _u20824)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20822), hAPP(c_Groups_Ouminus__class_Ouminus(_u20822), _u20824)), _u20823) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20822), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20822), _u20824), _u20823))) )).
% 12.21/12.48 cnf(matrix-8320, plain, ( ~class_Rings_Ocomm__ring__1(_u20825) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20825), hAPP(c_Groups_Ouminus__class_Ouminus(_u20825), _u20826)), _u20827)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20825), _u20826), _u20827)) )).
% 12.21/12.48 cnf(matrix-8321, plain, ( ~class_Rings_Ocomm__ring__1(_u20825) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20825), _u20826), _u20827)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20825), hAPP(c_Groups_Ouminus__class_Ouminus(_u20825), _u20826)), _u20827)) )).
% 12.21/12.48 cnf(matrix-8322, plain, ( ~class_Rings_Ocomm__ring__1(_u20828) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), hAPP(c_Groups_Ouminus__class_Ouminus(_u20828), _u20830))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), _u20830)) )).
% 12.21/12.48 cnf(matrix-8323, plain, ( ~class_Rings_Ocomm__ring__1(_u20828) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), _u20830)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), hAPP(c_Groups_Ouminus__class_Ouminus(_u20828), _u20830))) )).
% 12.21/12.48 cnf(matrix-8324, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20832), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u20832 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.48 cnf(matrix-8325, plain, ( ( _u20833 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20833), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.48 cnf(matrix-8326, plain, ( ~class_Divides_Osemiring__div(_u20834) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20834), _u20835), _u20836)) | ( c_Divides_Odiv__class_Omod(_u20834, _u20836, _u20835) = c_Groups_Ozero__class_Ozero(_u20834)) )).
% 12.21/12.48 cnf(matrix-8327, plain, ( ~class_Divides_Osemiring__div(_u20837) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20837), _u20838), _u20839)) | ( c_Divides_Odiv__class_Omod(_u20837, _u20839, _u20838) = c_Groups_Ozero__class_Ozero(_u20837)) )).
% 12.21/12.48 cnf(matrix-8328, plain, ( ~class_Divides_Osemiring__div(_u20837) | ( c_Divides_Odiv__class_Omod(_u20837, _u20839, _u20838) != c_Groups_Ozero__class_Ozero(_u20837)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20837), _u20838), _u20839)) )).
% 12.21/12.48 cnf(matrix-8329, plain, ( ~class_Divides_Osemiring__div(_u20840) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20841), _u20842)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20841), _u20843)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20840), _u20842), _u20841)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20840), _u20843), _u20841))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20842), _u20843)) )).
% 12.21/12.48 cnf(matrix-8330, plain, ( ~class_Divides_Osemiring__div(_u20840) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20841), _u20842)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20841), _u20843)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), _u20842), _u20843)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20840), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20840), _u20842), _u20841)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20840), _u20843), _u20841))) )).
% 12.21/12.48 cnf(matrix-8331, plain, ( ~class_Rings_Ocomm__semiring__1(_u20844) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20844), c_Groups_Ozero__class_Ozero(_u20844)), _u20845)) | ( _u20845 = c_Groups_Ozero__class_Ozero(_u20844)) )).
% 12.21/12.48 cnf(matrix-8332, plain, ( ~class_Divides_Osemiring__div(_u20846) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20846), _u20847), c_Divides_Odiv__class_Omod(_u20846, _u20848, _u20849))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20846), _u20847), _u20849)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20846), _u20847), _u20848)) )).
% 12.21/12.48 cnf(matrix-8333, plain, ( ~class_Divides_Osemiring__div(_u20850) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20850), _u20851), _u20852)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20850), _u20851), _u20853)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20850), _u20851), c_Divides_Odiv__class_Omod(_u20850, _u20852, _u20853))) )).
% 12.21/12.48 cnf(matrix-8334, plain, ( ~class_Divides_Osemiring__div(_u20854) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20854), _u20855), _u20856)) | ( c_Divides_Odiv__class_Omod(_u20854, c_Divides_Odiv__class_Omod(_u20854, _u20857, _u20856), _u20855) = c_Divides_Odiv__class_Omod(_u20854, _u20857, _u20855)) )).
% 12.21/12.48 cnf(matrix-8335, plain, ( ~class_Divides_Osemiring__div(_u20858) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), _u20860)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), c_Divides_Odiv__class_Omod(_u20858, _u20861, _u20860))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), _u20861)) )).
% 12.21/12.48 cnf(matrix-8336, plain, ( ~class_Divides_Osemiring__div(_u20858) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), _u20860)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), _u20861)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20858), _u20859), c_Divides_Odiv__class_Omod(_u20858, _u20861, _u20860))) )).
% 12.21/12.48 cnf(matrix-8337, plain, ( ~class_Rings_Ocomm__semiring__1(_u20862) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), _u20864)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20864), _u20865)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), _u20865)) )).
% 12.21/12.48 cnf(matrix-8338, plain, ( ~class_Rings_Ocomm__semiring__1(_u20866) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20866), _u20867), _u20867)) )).
% 12.21/12.48 cnf(matrix-8339, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20870), _u20871)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20870)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20872)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20872), _u20871)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20870), _u20872)) )).
% 12.21/12.48 cnf(matrix-8340, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20870), _u20871)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20870)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20872)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20872), _u20871)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20872), _u20870)) )).
% 12.21/12.48 cnf(matrix-8341, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8342, plain, ( ~class_Lattices_Obounded__lattice(_u20873) | class_Lattices_Obounded__lattice(tc_fun(_u20874, _u20873)) )).
% 12.21/12.48 cnf(matrix-8343, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20875) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20876, _u20875)) )).
% 12.21/12.48 cnf(matrix-8344, plain, ( ~class_Lattices_Obounded__lattice(_u20877) | class_Lattices_Obounded__lattice__top(tc_fun(_u20878, _u20877)) )).
% 12.21/12.48 cnf(matrix-8345, plain, ( ~class_Lattices_Obounded__lattice(_u20879) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20880, _u20879)) )).
% 12.21/12.48 cnf(matrix-8346, plain, ( ~class_Lattices_Olattice(_u20881) | class_Lattices_Osemilattice__sup(tc_fun(_u20882, _u20881)) )).
% 12.21/12.48 cnf(matrix-8347, plain, ( ~class_Lattices_Olattice(_u20883) | class_Lattices_Osemilattice__inf(tc_fun(_u20884, _u20883)) )).
% 12.21/12.48 cnf(matrix-8348, plain, ( ~class_Lattices_Odistrib__lattice(_u20885) | class_Lattices_Odistrib__lattice(tc_fun(_u20886, _u20885)) )).
% 12.21/12.48 cnf(matrix-8349, plain, ( ~class_Lattices_Oboolean__algebra(_u20887) | class_Lattices_Oboolean__algebra(tc_fun(_u20888, _u20887)) )).
% 12.21/12.48 cnf(matrix-8350, plain, ( ~class_Orderings_Opreorder(_u20889) | class_Orderings_Opreorder(tc_fun(_u20890, _u20889)) )).
% 12.21/12.48 cnf(matrix-8351, plain, ( ~class_Finite__Set_Ofinite(_u20891) | ~class_Finite__Set_Ofinite(_u20892) | class_Finite__Set_Ofinite(tc_fun(_u20891, _u20892)) )).
% 12.21/12.48 cnf(matrix-8352, plain, ( ~class_Lattices_Olattice(_u20893) | class_Lattices_Olattice(tc_fun(_u20894, _u20893)) )).
% 12.21/12.48 cnf(matrix-8353, plain, ( ~class_Orderings_Oorder(_u20895) | class_Orderings_Oorder(tc_fun(_u20896, _u20895)) )).
% 12.21/12.48 cnf(matrix-8354, plain, ( ~class_Orderings_Otop(_u20897) | class_Orderings_Otop(tc_fun(_u20898, _u20897)) )).
% 12.21/12.48 cnf(matrix-8355, plain, ( ~class_Orderings_Oord(_u20899) | class_Orderings_Oord(tc_fun(_u20900, _u20899)) )).
% 12.21/12.48 cnf(matrix-8356, plain, ( ~class_Orderings_Obot(_u20901) | class_Orderings_Obot(tc_fun(_u20902, _u20901)) )).
% 12.21/12.48 cnf(matrix-8357, plain, ( ~class_Groups_Ouminus(_u20903) | class_Groups_Ouminus(tc_fun(_u20904, _u20903)) )).
% 12.21/12.48 cnf(matrix-8358, plain, ( ~class_Groups_Ominus(_u20905) | class_Groups_Ominus(tc_fun(_u20906, _u20905)) )).
% 12.21/12.48 cnf(matrix-8359, plain, ( ~class_Enum_Oenum(_u20907) | ~class_Enum_Oenum(_u20908) | class_Enum_Oenum(tc_fun(_u20907, _u20908)) )).
% 12.21/12.48 cnf(matrix-8360, plain, ( class_Nat_Osize(tc_Com_Ocom) )).
% 12.21/12.48 cnf(matrix-8361, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8362, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8363, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8364, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8365, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8366, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8367, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8368, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8369, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8370, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8371, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8372, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8373, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8374, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8375, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8376, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8377, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8378, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8379, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8380, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8381, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8382, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8383, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8384, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8385, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8386, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8387, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8388, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8389, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8390, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8391, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8392, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8393, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8394, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8395, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8396, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8397, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8398, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8399, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8400, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8401, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8402, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8403, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8404, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8405, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8406, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8407, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8408, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8409, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8410, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8411, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8412, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8413, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8414, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8415, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8416, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8417, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8418, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8419, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8420, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8421, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8422, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8423, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8424, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8425, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8426, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8427, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8428, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8429, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8430, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8431, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8432, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.21/12.48 cnf(matrix-8433, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8434, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8435, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8436, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8437, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8438, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8439, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8440, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8441, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8442, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8443, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8444, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8445, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8446, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8447, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8448, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8449, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8450, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8451, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8452, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8453, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8454, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8455, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8456, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8457, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8458, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8459, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8460, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8461, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8462, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8463, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8464, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8465, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8466, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8467, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8468, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8469, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8470, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8471, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8472, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8473, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8474, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8475, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8476, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8477, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8478, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8479, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8480, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8481, plain, ( class_Nat_Osize(tc_Nat_Onat) )).
% 12.21/12.48 cnf(matrix-8482, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8483, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8484, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8485, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8486, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8487, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8488, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8489, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8490, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8491, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8492, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8493, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8494, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8495, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8496, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8497, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8498, plain, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8499, plain, ( class_Nat_Osize(tc_HOL_Obool) )).
% 12.21/12.48 cnf(matrix-8500, plain, ( class_Nat_Osize(tc_Com_Ostate) )).
% 12.21/12.48 cnf(matrix-8501, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20909) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20909)) )).
% 12.21/12.48 cnf(matrix-8502, plain, ( class_Nat_Osize(tc_List_Olist(_u20910)) )).
% 12.21/12.48 cnf(matrix-8503, plain, ( ~class_Finite__Set_Ofinite(_u20911) | ~class_Finite__Set_Ofinite(_u20912) | class_Finite__Set_Ofinite(tc_sum(_u20911, _u20912)) )).
% 12.21/12.48 cnf(matrix-8504, plain, ( ~class_Enum_Oenum(_u20913) | ~class_Enum_Oenum(_u20914) | class_Enum_Oenum(tc_sum(_u20913, _u20914)) )).
% 12.21/12.48 cnf(matrix-8505, plain, ( class_Nat_Osize(tc_sum(_u20915, _u20916)) )).
% 12.21/12.48 cnf(matrix-8506, plain, ( ~class_Finite__Set_Ofinite(_u20917) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20917)) )).
% 12.21/12.48 cnf(matrix-8507, plain, ( ~class_Enum_Oenum(_u20918) | class_Enum_Oenum(tc_Option_Ooption(_u20918)) )).
% 12.21/12.48 cnf(matrix-8508, plain, ( class_Nat_Osize(tc_Option_Ooption(_u20919)) )).
% 12.21/12.48 cnf(matrix-8509, plain, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20920, _u20921)) )).
% 12.21/12.48 cnf(matrix-8510, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20922) | ~class_Lazy__Sequence_Osmall__lazy(_u20923) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20922, _u20923)) )).
% 12.21/12.48 cnf(matrix-8511, plain, ( ~class_Finite__Set_Ofinite(_u20924) | ~class_Finite__Set_Ofinite(_u20925) | class_Finite__Set_Ofinite(tc_prod(_u20924, _u20925)) )).
% 12.21/12.48 cnf(matrix-8512, plain, ( ~class_Enum_Oenum(_u20926) | ~class_Enum_Oenum(_u20927) | class_Enum_Oenum(tc_prod(_u20926, _u20927)) )).
% 12.21/12.48 cnf(matrix-8513, plain, ( class_Nat_Osize(tc_prod(_u20928, _u20929)) )).
% 12.21/12.48 cnf(matrix-8514, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 12.21/12.48 cnf(matrix-8515, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.21/12.48 cnf(matrix-8516, plain, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 12.21/12.48 cnf(matrix-8517, plain, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 12.21/12.48 cnf(matrix-8518, plain, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 12.21/12.48 cnf(matrix-8519, plain, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20930)) )).
% 12.21/12.48 cnf(matrix-8520, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8521, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8522, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8523, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8524, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8525, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8526, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8527, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8528, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8529, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8530, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8531, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8532, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8533, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8534, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8535, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8536, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8537, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8538, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8539, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8540, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8541, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8542, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8543, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8544, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8545, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8546, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8547, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8548, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8549, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8550, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8551, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8552, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8553, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8554, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8555, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8556, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8557, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8558, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8559, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8560, plain, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8561, plain, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.48 cnf(matrix-8562, plain, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20931)) )).
% 12.21/12.48 cnf(matrix-8563, plain, ( ( hAPP(c_COMBI(_u20932), _u20933) = _u20933) )).
% 12.21/12.48 cnf(matrix-8564, plain, ( ( hAPP(hAPP(c_COMBK(_u20934, _u20935), _u20936), _u20937) = _u20936) )).
% 12.21/12.48 cnf(matrix-8565, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20938, _u20939, _u20940), _u20941), _u20942), _u20943) = hAPP(_u20941, hAPP(_u20942, _u20943))) )).
% 12.21/12.48 cnf(matrix-8566, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20944, _u20945, _u20946), _u20947), _u20948), _u20949) = hAPP(hAPP(_u20947, _u20949), _u20948)) )).
% 12.21/12.48 cnf(matrix-8567, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20950, _u20951, _u20952), _u20953), _u20954), _u20955) = hAPP(hAPP(_u20953, _u20955), hAPP(_u20954, _u20955))) )).
% 12.21/12.48 cnf(matrix-8568, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20956), _u20957)) | ( _u20956 = _u20957) )).
% 12.21/12.48 cnf(matrix-8569, plain, ( ( _u20958 != _u20959) | hBOOL(hAPP(hAPP(c_fequal, _u20958), _u20959)) )).
% 12.21/12.48 cnf(matrix-8570, plain, ( ~hBOOL(c_fFalse) )).
% 12.21/12.48 cnf(matrix-8571, plain, ( hBOOL(c_fTrue) )).
% 12.21/12.48 cnf(matrix-8572, plain, ( ~hBOOL(hAPP(c_fNot, _u20960)) | ~hBOOL(_u20960) )).
% 12.21/12.48 cnf(matrix-8573, plain, ( hBOOL(_u20961) | hBOOL(hAPP(c_fNot, _u20961)) )).
% 12.21/12.48 cnf(matrix-8574, plain, ( ~hBOOL(_u20963) | ~hBOOL(_u20962) | hBOOL(hAPP(hAPP(c_fconj, _u20962), _u20963)) )).
% 12.21/12.48 cnf(matrix-8575, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20964), _u20965)) | hBOOL(_u20964) )).
% 12.21/12.48 cnf(matrix-8576, plain, ( hBOOL(_u20967) | ~hBOOL(hAPP(hAPP(c_fconj, _u20966), _u20967)) )).
% 12.21/12.48 cnf(matrix-8577, plain, ( ~hBOOL(_u20968) | hBOOL(hAPP(hAPP(c_fdisj, _u20968), _u20969)) )).
% 12.21/12.48 cnf(matrix-8578, plain, ( ~hBOOL(_u20970) | hBOOL(hAPP(hAPP(c_fdisj, _u20971), _u20970)) )).
% 12.21/12.48 cnf(matrix-8579, plain, ( hBOOL(_u20973) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20972), _u20973)) | hBOOL(_u20972) )).
% 12.21/12.48 cnf(matrix-8580, plain, ( hBOOL(_u20974) | hBOOL(hAPP(hAPP(c_fimplies, _u20974), _u20975)) )).
% 12.21/12.48 cnf(matrix-8581, plain, ( ~hBOOL(_u20976) | hBOOL(hAPP(hAPP(c_fimplies, _u20977), _u20976)) )).
% 12.21/12.48 cnf(matrix-8582, plain, ( hBOOL(_u20979) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20978), _u20979)) | ~hBOOL(_u20978) )).
% 12.21/12.48 cnf(matrix-8583, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, _u20980)), hAPP(v_c0, _u20980)), hAPP(v_Q_H, _u20980))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, _u20980)), hAPP(v_c0, _u20980)), hAPP(v_Q, _u20980))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-8584, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(t_a), v_F)) )).
% 12.21/12.48 cnf(matrix-8585, plain, ( ~hBOOL(hAPP(hAPP(c_member(t_a), v_x), v_F)) )).
% 12.21/12.48 cnf(matrix-8586, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F)) | c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F)) )).
% 12.21/12.48 cnf(matrix-8587, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q_H, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) )).
% 12.21/12.48 cnf(matrix-8588, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F)) )).
% 12.21/12.48 cnf(matrix-8589, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) )).
% 12.21/12.48
% 12.21/12.48 % Proof stack:
% 12.21/12.48 cnf(proof-stack, plain,
% 12.21/12.48 proof_stack(
% 12.21/12.48 start(8589),
% 12.21/12.48 left_branch(0, 8583, 1, 2),
% 12.21/12.48 left_branch(0, 8587, 0, 3),
% 12.21/12.48 right_branch(3),
% 12.21/12.48 right_branch(2)
% 12.21/12.48 )).
% 12.21/12.48 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------